var data = data || {}; data["elevation_PE - 1"] = 
[[113,109,106,107,109,111,111,112,114,117,117,114,111,109,105,100,99,102,105,109,110,109,107,107,108,108,109,110,111,113,114,113,113,113,109,107,105,102,104,112,117,119,118,117,119,124,127,125,121,119,122,123,120,120,121,120,120,121,124,120,111,104,107,119,127,124,124,127,126,124,124,128,132,135,137,136,136,137,138,138,137,138,136,132,127,125,124,125,127,127,129,130,127,125,126,129,132,132,129,127,130,135,134,130,127,130,136,139,141,140,136,131,129,129,130,131,131,131,130,131,133,134,133,134,136,138,136,134,134,138,142,142,136,130,126,126,130,132,134,139,142,141,136,131,127,127,130,133,134,134,133,132,129,122,118,122,128,128,128,131,133,134,133,131,129,128,127,126,123,117,112,113,118,126,127,120,115,112,107,107,115,122,126,126,123,121,120,121,120,118,115,112,106,103,104,105,103,101,100,100,101,101,105,108,109,109,110,110,108,106,105,107,109,109,108,107,105,102,100,103,105,105,101,99,100,99,97,95,96,97,98,100,102,103,102,100,98,98,98,99,99,98,97,96,96,97,98,100,100,99,98,96,94,94,97,100,101,101,100,101,102,105,107,105,100,96,96,98,101,104,105,103,101,102,104,101,97,94,93,93,93,94,96,95,96,98,98,96,96,97,97,96,95,96,97,99,102,104,103,104,106,106,104,102,102,101,99,99,101,99,95,93,93,94,93,92,90,88,88,88,88,88,88,87,86,87,88,87,87,87,88,88,88,89,89,89,89,90,91,91,89,88,87,87,88,88,87,87,87,87,88,88,87,87,88,88,87,86,87,89,94,102,105,104,98,98,104,108,107,105,99,93,95,98,89,89,90,91,91,90,88,88,92,98,104,109,111,109,104,99,98,103,107,106,100,95,94,97,100,102,100,100,101,100,99,98,98,100,103,105,105,106,107,107,108,108,106,103,97,90,86,88,90,91,94,95,94,98,99,92,93,101,101,101,105,106,106,110,111,109,104,100,99,101,100,95,90,88,86,87,88,88,87,87,88,88,87,88,87,87,88,88,88,88,87,86,86,86,86,88,89,88,89,92,92,91,90,89,88,87,87,89,90,93,97,96,91,88,87,90,95,99,102,105,104,97,91,90,96,103,105,103,103,104,102,95,89,88,90,92,91,null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null],[115,111,110,112,112,109,109,111,108,107,109,113,116,113,107,100,97,100,104,107,106,104,105,109,110,109,109,109,110,111,112,112,110,106,103,105,111,117,119,118,114,111,110,115,122,124,122,120,117,117,119,120,119,120,123,123,120,117,122,125,121,118,117,119,120,121,123,124,122,125,130,131,129,128,126,126,128,130,131,130,128,127,130,135,138,138,135,133,130,127,125,125,126,127,126,127,129,127,125,127,130,132,133,134,136,138,138,135,132,130,130,128,127,130,132,130,129,131,134,135,133,132,131,130,130,132,135,136,136,136,138,140,141,142,142,141,140,141,141,139,136,133,132,133,133,128,124,126,130,129,129,131,130,122,109,105,111,119,127,130,125,122,128,133,133,128,124,122,123,123,118,109,107,112,117,115,109,104,100,102,107,111,116,122,124,124,127,126,122,118,114,111,109,111,112,109,105,103,103,101,100,100,102,105,107,108,107,106,106,108,109,109,105,103,104,102,99,97,96,96,95,94,96,98,100,101,102,101,100,102,105,110,111,108,104,101,101,103,105,104,101,101,102,103,102,102,104,106,105,104,103,101,101,103,106,108,108,108,107,106,104,102,102,102,101,99,97,98,100,99,98,96,98,101,104,104,103,103,102,101,99,98,99,99,98,97,95,95,96,99,101,101,100,101,102,102,101,100,100,102,103,101,101,102,101,98,94,92,93,92,92,93,95,95,92,89,88,87,88,88,88,87,87,87,86,85,86,87,87,88,89,89,89,89,88,88,89,90,91,90,88,88,87,87,88,88,87,87,88,87,88,88,87,87,87,88,87,88,89,91,95,107,107,99,98,100,102,106,106,98,92,89,86,86,88,91,89,96,100,103,107,108,111,114,113,111,109,105,101,96,95,99,103,103,103,104,100,95,92,93,95,98,100,102,100,97,98,100,100,104,109,108,103,99,103,108,102,92,85,88,93,92,94,97,98,100,103,102,97,92,92,97,105,107,102,98,99,102,106,108,107,104,103,103,102,95,90,89,87,87,88,88,87,87,88,88,87,88,87,87,88,88,89,89,88,85,85,85,86,86,86,87,89,92,92,90,88,86,84,86,90,94,97,99,98,95,93,96,99,102,104,104,102,98,93,92,97,104,107,107,105,103,102,105,107,104,97,92,90,90,90,null],[114,115,115,113,110,108,111,113,109,106,108,112,115,112,109,106,100,96,99,102,104,102,104,109,110,110,109,109,110,111,111,111,110,108,108,110,112,113,115,116,114,112,113,119,124,123,120,118,118,120,124,125,123,123,124,125,123,120,123,127,127,124,122,120,121,123,126,127,124,124,127,128,126,125,124,124,125,127,129,129,127,127,129,133,137,138,135,133,132,129,125,123,124,126,126,125,124,123,126,129,131,132,133,135,136,135,133,135,132,128,126,125,126,129,129,126,127,132,132,131,130,132,133,131,130,129,131,133,132,130,131,136,142,145,144,142,144,144,141,136,131,128,128,129,129,124,120,123,128,127,126,127,127,124,117,106,103,112,125,130,125,121,127,131,130,126,122,121,124,127,124,117,110,110,113,115,112,106,103,103,106,107,111,117,120,120,120,121,122,121,118,115,114,115,112,107,104,103,103,101,100,101,103,105,106,105,104,106,109,111,112,109,104,101,100,99,97,96,96,97,97,98,99,100,100,102,101,100,98,98,99,101,102,101,99,98,99,101,103,105,104,103,103,106,107,107,108,108,107,106,104,102,101,102,104,105,106,105,106,105,103,101,102,102,102,102,102,102,102,101,100,98,99,102,104,105,106,106,105,102,101,102,103,102,103,103,102,100,99,100,102,103,102,102,102,102,103,101,98,98,98,95,95,96,96,92,89,87,88,89,93,95,96,93,88,87,88,88,88,88,88,88,88,87,86,86,86,87,88,89,90,90,89,89,89,89,89,90,90,90,88,88,87,87,88,88,87,87,88,88,87,87,88,88,88,87,88,89,90,97,102,107,104,97,98,101,101,105,106,98,94,89,86,87,90,93,96,100,104,111,112,111,111,109,107,106,106,104,101,96,91,92,96,96,99,106,108,102,94,91,93,96,99,101,99,96,98,99,99,100,104,107,106,102,102,102,95,90,90,93,96,95,96,98,100,103,103,99,95,94,92,93,102,107,105,104,105,102,104,110,109,105,103,103,102,96,91,88,88,87,88,88,88,88,87,87,88,88,87,87,88,88,87,89,87,84,85,86,86,86,86,86,88,90,91,88,87,85,86,91,95,98,99,98,96,96,98,101,104,104,102,101,97,94,92,97,104,107,105,103,103,103,102,105,108,107,104,98,92,90,89,null],[117,119,120,114,110,112,114,113,111,108,108,111,111,107,106,107,102,97,96,99,103,104,106,109,110,109,110,109,109,110,112,113,112,112,114,113,109,109,111,114,113,112,116,121,123,120,117,118,120,122,124,126,126,125,124,126,125,122,122,124,126,127,127,126,124,124,127,130,127,124,125,127,128,128,128,128,128,129,132,131,129,129,130,131,132,131,129,129,128,126,124,122,125,127,128,128,127,125,125,128,131,133,135,137,137,133,131,133,132,128,125,124,126,127,126,125,127,128,129,129,130,132,134,135,134,131,131,132,131,128,126,133,141,146,145,144,145,145,140,135,131,128,128,128,124,118,116,120,124,124,126,127,125,125,126,117,107,109,118,124,125,125,127,128,128,126,124,124,128,128,124,117,112,110,112,114,113,110,107,105,103,102,106,113,116,113,111,115,121,124,122,117,116,116,112,106,104,103,103,101,100,99,101,104,105,104,104,108,111,111,108,104,101,99,98,97,96,96,97,97,97,97,97,98,100,102,102,100,98,97,97,97,96,95,95,96,99,99,100,103,106,106,106,107,109,109,106,106,107,107,106,105,104,102,102,103,103,102,103,104,105,104,103,104,105,104,105,106,105,104,102,101,102,104,105,107,108,107,106,105,104,104,104,104,105,106,106,105,102,101,102,104,104,102,100,101,103,100,95,94,95,92,92,93,92,91,91,90,91,94,97,97,94,89,87,88,89,88,88,89,88,88,88,87,87,87,88,88,89,90,91,91,90,89,89,89,90,90,90,89,88,87,88,88,87,87,88,87,88,88,87,87,88,88,87,87,88,90,92,97,105,111,105,96,97,101,101,105,106,98,93,89,88,90,93,97,100,106,110,109,106,105,107,106,103,101,100,99,100,99,95,90,91,92,97,103,109,106,100,93,94,94,95,99,101,101,101,100,98,100,104,106,106,104,103,98,90,89,94,97,96,95,97,102,105,106,104,96,91,93,94,92,98,105,109,110,109,106,105,108,109,108,106,105,103,98,93,91,91,88,87,88,88,88,87,87,88,88,87,87,88,88,87,87,86,85,86,87,87,86,87,88,89,90,88,86,85,88,94,98,100,100,101,100,97,100,105,107,105,103,100,96,92,94,101,106,107,104,102,101,102,102,102,105,109,111,110,105,97,91,89,null],[117,118,117,112,111,116,115,112,111,109,108,107,105,101,100,101,99,96,95,97,102,107,109,109,108,109,110,110,109,109,111,112,113,113,115,113,108,107,109,113,115,114,116,118,119,117,115,118,121,124,124,126,128,127,125,127,129,128,125,124,127,130,131,130,127,124,128,132,130,127,126,127,130,130,130,131,130,131,133,132,130,130,130,130,129,126,124,125,126,124,122,125,128,130,130,130,130,129,128,128,131,133,133,135,137,134,130,129,130,127,125,125,128,129,127,127,126,126,128,132,133,133,134,134,132,131,133,134,132,128,127,131,136,138,139,141,143,143,139,136,135,133,131,127,121,115,113,115,117,119,121,123,122,125,131,129,121,115,115,118,122,125,124,125,127,129,130,131,130,127,122,118,115,113,112,111,112,112,110,108,104,100,102,108,111,108,105,108,117,122,122,118,115,112,108,106,105,105,105,103,101,99,100,103,104,103,103,106,108,105,102,99,97,96,95,95,96,97,97,96,95,95,95,97,99,101,100,98,97,97,97,98,99,98,99,100,102,102,100,102,106,107,107,108,110,109,106,105,107,109,109,109,108,106,104,104,104,103,103,104,106,107,107,107,108,107,106,107,106,105,103,103,105,107,108,109,109,108,109,108,106,104,103,104,105,105,105,104,102,100,100,101,100,99,98,99,101,98,93,92,94,94,94,94,93,93,94,94,95,97,98,95,90,88,88,89,89,88,88,89,88,88,88,88,89,88,88,89,89,90,91,91,91,90,89,89,90,90,89,90,88,87,88,88,87,87,88,88,87,87,88,88,87,87,87,87,88,90,93,101,109,113,103,94,97,102,100,103,103,96,92,91,91,94,97,100,103,108,109,105,101,98,100,100,99,97,95,93,97,101,99,94,90,90,93,97,102,106,102,98,97,95,94,95,99,103,104,102,100,101,105,107,107,106,102,95,88,89,96,98,96,95,98,104,107,108,104,95,90,95,98,97,96,101,110,112,110,109,108,106,106,107,107,107,106,101,97,95,93,89,87,87,87,87,88,88,87,87,87,87,88,88,87,87,87,87,87,87,87,87,87,90,90,87,85,86,89,95,102,106,104,101,99,101,101,105,108,108,104,100,95,92,94,100,108,108,105,102,101,100,101,101,103,106,108,110,110,107,101,95,93,null],[115,113,110,109,112,115,112,108,109,110,107,104,102,99,95,92,94,95,94,97,103,108,109,108,108,109,109,110,110,109,108,110,111,112,115,114,112,109,110,114,118,118,116,115,116,116,116,119,122,124,125,127,129,128,127,128,131,133,130,127,129,131,132,131,128,125,128,131,131,129,127,128,128,127,127,129,130,130,130,129,129,129,129,128,128,127,125,127,127,124,123,127,130,131,130,129,129,130,131,130,130,130,129,131,134,134,130,126,124,126,125,126,131,133,132,130,126,125,129,133,134,135,134,130,126,127,131,134,132,130,131,131,129,127,130,134,137,138,137,136,136,136,132,124,118,115,113,111,111,113,115,116,117,122,128,132,131,124,116,114,119,123,121,122,128,133,134,132,128,124,123,122,119,115,111,109,107,107,109,109,106,100,98,102,106,104,102,104,111,116,117,115,112,107,104,103,105,106,107,105,101,98,98,100,101,101,100,100,100,98,97,96,94,93,93,95,96,97,96,95,94,94,97,99,100,100,98,97,97,98,99,101,104,105,105,105,106,105,104,103,104,106,108,108,109,108,107,106,107,108,110,112,112,111,109,108,109,108,107,107,108,110,110,110,111,110,109,107,105,104,103,104,107,110,110,109,108,109,110,109,106,102,101,102,103,102,100,98,97,96,95,93,93,95,97,97,98,97,95,96,98,99,98,98,97,95,95,95,96,97,95,90,88,88,89,88,88,87,87,88,88,88,87,88,89,88,88,89,89,89,91,91,91,90,90,90,90,89,88,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,86,87,89,91,94,104,111,108,98,92,96,101,100,101,98,96,94,94,96,99,103,105,104,107,108,104,100,97,94,94,95,95,92,90,93,97,99,96,91,89,89,89,94,99,100,99,99,98,96,94,95,98,103,104,102,102,104,108,110,106,99,92,88,90,96,98,98,98,100,104,108,107,103,96,93,97,103,103,98,98,106,110,109,110,109,105,104,105,107,109,108,104,100,98,94,90,88,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,87,87,86,86,88,91,88,84,87,93,99,105,109,110,106,100,99,103,106,108,106,106,104,96,91,94,102,109,108,105,102,101,100,98,98,99,102,105,108,108,107,106,105,102,100,null],[115,111,106,110,115,114,108,104,109,112,109,105,101,100,95,92,96,100,100,102,105,106,108,110,109,108,108,109,110,109,108,109,111,114,117,118,117,114,113,117,122,123,121,118,117,117,119,120,121,122,125,126,126,127,128,130,131,132,131,129,128,127,128,130,129,126,125,127,126,125,125,126,126,124,125,128,130,129,126,128,130,129,128,127,126,127,129,130,127,123,122,124,126,128,129,128,128,128,128,129,129,128,128,130,132,130,126,123,124,127,129,130,130,133,134,132,127,123,125,127,129,133,134,131,125,121,124,129,132,135,136,134,130,125,124,126,130,132,132,131,132,134,127,117,115,116,114,111,109,109,109,110,112,117,122,127,128,121,113,112,118,123,124,126,130,132,130,126,124,125,127,127,123,118,112,107,103,102,105,107,105,101,98,99,102,103,103,104,107,110,111,112,110,107,104,102,102,104,105,103,100,97,96,97,100,102,101,97,93,92,92,93,93,93,94,94,94,96,97,96,95,95,99,101,101,100,100,101,103,104,103,101,102,103,103,102,103,105,107,106,105,104,105,107,107,106,106,107,107,107,108,111,113,112,111,111,112,112,110,111,113,112,112,113,114,113,112,110,107,105,105,106,107,109,110,108,107,108,108,107,104,100,98,98,97,96,95,94,93,91,89,90,91,95,97,98,99,101,101,103,104,103,101,99,98,98,97,97,96,95,91,89,88,87,87,87,88,88,88,87,88,87,87,88,88,88,88,89,89,89,90,90,91,91,91,91,89,88,87,87,88,88,87,87,88,87,88,88,87,87,88,88,87,87,86,87,89,92,96,104,108,102,94,93,98,102,101,99,96,98,98,100,103,105,108,105,102,105,108,105,101,96,91,93,95,93,89,88,90,93,94,93,91,92,91,89,89,93,96,96,95,96,98,98,95,94,99,104,103,102,103,108,111,107,98,89,86,91,99,102,102,104,105,108,109,109,105,97,92,96,102,105,101,99,103,107,108,110,109,105,105,106,108,109,107,104,101,98,94,91,88,87,87,87,88,88,87,87,88,88,87,87,88,89,88,86,87,87,85,87,89,89,87,88,94,103,108,113,115,109,102,101,103,107,108,106,103,101,98,93,94,101,108,110,108,105,102,100,98,96,97,98,100,103,106,107,107,107,108,108,106,null],[115,111,108,112,116,114,107,103,108,111,109,105,103,101,97,95,99,104,105,106,105,104,106,111,110,107,108,109,110,111,111,112,113,116,119,121,121,118,117,119,122,123,124,123,122,122,122,122,121,122,125,126,123,125,129,130,129,128,128,128,125,122,124,127,129,126,124,123,121,120,122,124,125,125,124,124,126,126,126,129,131,129,127,127,126,128,131,129,124,122,121,121,121,123,125,126,125,123,124,126,127,126,127,129,128,125,123,125,128,133,135,133,131,133,135,135,129,124,120,119,121,125,129,130,125,119,121,128,134,138,138,136,132,129,124,122,128,131,130,128,128,127,121,113,114,117,116,112,111,111,111,110,109,111,115,118,117,112,109,111,119,125,127,128,128,125,121,118,120,124,128,126,121,119,116,109,104,102,103,104,103,101,100,100,102,105,107,108,107,107,108,108,108,109,106,102,101,103,103,101,99,98,96,96,100,103,100,96,92,90,91,92,93,95,96,94,94,97,99,98,97,98,101,103,103,103,104,105,108,108,105,101,99,100,100,100,101,103,105,107,106,104,103,104,105,105,105,106,107,106,107,110,112,111,109,110,112,111,111,113,115,114,113,114,115,115,115,114,112,109,109,111,110,111,110,109,107,106,106,105,104,102,100,98,96,95,96,95,92,90,90,92,95,98,99,100,103,105,106,107,107,104,101,99,98,98,98,97,95,92,90,88,87,87,87,87,88,88,87,87,87,87,88,88,88,88,88,89,89,89,89,89,90,91,91,90,89,88,87,87,88,88,87,87,88,87,88,88,87,87,88,88,87,87,86,86,88,93,97,104,105,97,92,94,99,103,104,102,99,102,102,105,108,110,112,107,102,104,107,107,102,96,92,93,94,91,88,88,89,89,89,90,91,94,94,91,89,89,92,92,90,92,97,99,97,95,98,103,104,103,103,106,107,104,96,88,86,94,103,106,105,107,109,110,110,108,105,96,90,94,101,104,102,100,102,104,107,110,109,107,107,109,108,107,106,104,101,96,94,91,89,88,87,87,88,88,87,87,88,88,87,87,88,88,87,86,87,87,87,88,89,86,88,95,104,109,113,114,113,105,101,105,109,109,106,101,98,95,94,95,100,107,109,106,104,103,102,98,96,95,96,96,97,100,105,107,108,109,110,111,110,null],[113,112,110,111,114,115,111,106,105,105,104,103,102,99,97,97,99,103,105,105,103,103,106,109,109,108,109,110,111,112,114,115,114,114,117,119,120,120,120,118,118,119,121,125,126,126,125,125,124,124,126,126,123,126,130,130,126,123,125,127,124,121,122,125,127,124,123,122,120,121,123,124,125,127,122,116,119,122,125,127,129,128,126,125,126,128,128,124,120,120,122,122,120,119,120,122,122,122,123,125,126,125,124,124,125,125,126,129,134,138,138,136,135,135,136,137,133,124,117,115,116,117,119,121,122,124,130,137,141,143,141,136,132,131,125,123,130,135,133,129,127,125,120,116,117,119,117,113,113,116,116,112,109,109,111,110,107,109,110,112,118,124,127,125,120,116,115,116,117,119,121,117,114,118,118,112,109,109,109,106,101,99,101,104,106,108,110,110,108,107,106,105,107,109,108,106,105,105,104,101,99,99,98,98,100,102,99,95,93,92,93,94,95,96,97,96,97,100,101,100,99,101,102,103,103,104,104,105,106,106,104,104,105,106,105,104,103,103,103,104,105,105,103,101,102,104,104,105,106,107,109,109,109,108,107,107,108,108,109,111,113,113,113,113,114,114,115,114,112,111,113,116,115,115,114,111,107,105,106,107,107,108,107,104,102,100,100,99,97,96,96,97,99,102,103,103,104,106,105,104,104,103,101,98,97,96,95,94,92,90,88,87,87,88,88,88,88,87,87,87,87,87,88,88,88,87,87,87,88,88,89,89,89,89,89,89,89,88,87,87,88,88,87,87,88,88,88,88,87,87,88,88,87,87,86,86,88,93,98,106,104,93,89,93,98,103,107,107,105,105,105,106,107,110,114,111,104,101,104,108,104,98,93,91,90,90,90,91,90,89,90,91,91,93,93,91,89,89,89,90,91,92,92,95,98,100,100,101,105,106,105,104,102,98,92,88,90,97,104,105,104,106,108,110,108,105,101,93,89,96,103,104,102,100,101,102,105,109,110,109,110,111,108,106,106,105,102,96,93,93,89,88,88,87,88,88,87,87,88,87,88,88,87,88,88,87,88,89,89,89,88,86,91,103,109,111,112,108,104,102,105,109,108,105,101,96,91,91,95,101,105,107,106,102,98,96,96,95,95,94,94,94,96,99,104,107,108,109,111,112,111,null],[111,111,108,107,111,115,114,110,105,103,102,102,101,98,96,97,99,102,105,105,104,104,106,109,110,109,108,109,110,112,113,114,114,113,113,115,117,121,122,121,117,116,117,121,126,126,125,125,125,125,125,125,125,127,128,126,122,121,124,125,122,120,121,124,124,122,121,122,123,124,127,126,126,127,122,115,117,124,128,127,125,124,123,125,127,128,124,119,117,120,123,125,123,121,120,121,123,123,122,123,123,123,122,122,122,123,125,127,131,135,135,135,136,132,130,131,128,120,115,115,116,114,113,116,123,132,140,144,144,146,146,137,131,130,126,125,132,138,135,129,126,127,124,119,116,116,117,116,116,119,118,113,110,109,109,107,105,108,109,109,115,121,121,116,111,111,113,114,115,115,111,107,106,112,116,114,114,114,111,105,100,100,104,107,108,107,108,108,106,104,103,103,105,106,106,105,105,105,103,100,98,99,100,99,99,100,99,97,95,94,95,96,97,97,97,98,100,101,101,100,100,101,100,101,103,102,100,99,101,103,104,107,108,107,107,108,108,107,105,105,106,106,104,102,102,103,103,104,107,109,111,110,109,108,107,106,106,107,108,110,111,112,111,110,108,108,107,106,104,104,108,112,113,112,111,109,107,108,109,111,112,113,113,112,110,108,107,105,104,103,101,101,103,105,104,103,102,101,100,98,98,98,97,95,94,93,91,90,89,88,88,87,88,87,88,88,87,87,86,86,86,87,87,88,88,87,87,87,88,88,89,89,89,89,89,89,89,88,87,87,88,88,87,87,88,88,88,88,87,87,88,88,87,87,86,86,88,93,98,105,103,93,90,96,99,103,106,107,107,108,105,103,106,110,113,110,104,100,102,109,109,103,96,91,90,89,90,90,89,88,88,88,89,90,91,91,90,89,89,90,91,92,91,92,96,101,101,101,105,108,108,107,102,96,92,90,91,97,104,103,101,105,108,108,105,102,99,92,90,98,105,105,103,101,100,101,104,108,110,108,109,109,106,106,107,107,104,98,95,93,89,88,87,87,88,88,87,87,87,87,88,88,87,88,88,89,89,90,90,89,88,91,98,107,112,111,106,101,101,106,111,109,105,98,94,91,91,95,100,103,106,106,104,99,93,90,91,91,92,93,94,94,95,99,104,106,108,108,109,111,110,null],[110,108,105,104,108,112,113,109,107,105,104,102,99,96,96,98,102,104,105,107,108,108,109,110,110,110,108,108,108,108,110,112,113,113,111,111,114,119,123,124,122,119,117,118,121,123,123,124,124,124,123,124,127,128,126,122,121,122,124,124,122,121,123,125,122,118,119,122,125,127,129,127,125,125,124,121,123,127,129,126,122,122,122,124,127,126,121,118,118,121,125,127,127,126,124,124,126,126,125,123,123,123,123,123,123,123,123,122,125,130,132,134,134,128,122,120,118,114,112,113,116,116,116,120,128,137,144,145,145,147,147,138,129,127,125,125,131,136,134,128,126,128,127,119,112,112,116,118,118,119,116,113,112,111,109,107,106,107,106,106,111,116,114,108,104,107,110,112,113,112,107,102,102,106,110,113,116,115,109,103,101,102,105,107,107,104,103,104,102,100,99,101,104,105,103,101,100,102,102,99,97,98,99,99,99,99,100,98,96,95,96,97,98,98,98,100,101,100,99,98,98,96,94,96,98,96,93,94,98,103,104,105,105,104,104,107,111,111,110,109,109,107,106,105,104,103,104,105,107,110,112,111,110,110,109,107,106,107,109,111,111,110,109,107,105,104,101,98,95,96,98,102,104,104,103,104,106,108,110,112,113,113,113,113,113,112,111,109,107,105,103,104,105,107,106,102,100,97,95,94,93,92,92,93,92,91,89,89,89,89,89,88,88,88,87,88,88,87,86,86,86,86,87,87,87,87,87,88,89,89,90,90,90,89,89,89,89,88,87,87,88,88,87,87,88,88,88,88,87,87,88,88,87,87,86,85,87,93,99,104,101,93,93,100,102,103,105,104,103,105,102,99,104,109,110,107,104,101,103,107,111,107,98,93,94,93,91,89,89,89,89,88,87,88,90,91,91,90,90,90,90,91,92,91,94,100,100,100,104,107,110,111,107,100,94,91,90,97,104,101,99,105,109,108,105,102,100,94,91,97,105,107,105,102,100,101,103,107,108,106,105,105,105,106,108,108,105,101,97,93,89,88,87,87,88,88,87,87,88,87,88,88,87,88,88,88,87,86,88,87,89,96,104,109,111,107,101,100,106,111,111,105,99,94,89,90,97,103,104,103,104,107,105,99,91,88,88,86,88,92,94,95,97,101,105,107,107,107,108,109,109,null],[111,109,107,106,107,110,108,105,105,107,106,101,96,95,99,104,108,106,103,105,110,111,111,110,109,109,110,108,104,103,106,110,113,112,112,112,113,116,120,123,125,125,122,119,119,120,122,122,121,122,122,125,127,126,123,123,123,121,122,123,123,124,126,124,120,117,119,123,126,126,125,123,122,122,125,127,127,126,127,124,121,122,123,123,124,123,121,122,124,124,123,123,126,128,128,128,130,131,131,130,127,125,124,125,127,126,124,123,126,131,133,134,132,129,122,115,112,112,112,112,114,116,121,127,135,140,142,144,145,145,142,136,130,125,122,122,126,132,134,129,124,123,123,119,111,110,114,116,115,115,115,116,116,113,108,105,105,104,105,107,111,113,111,105,102,103,106,110,111,110,107,106,106,105,105,109,114,114,110,105,103,102,104,106,105,102,101,101,101,101,101,103,105,105,102,98,98,100,101,99,97,99,100,100,101,101,99,94,92,94,96,98,99,100,100,100,99,96,94,93,92,90,89,91,92,90,90,93,98,102,101,100,99,99,102,106,109,110,110,111,111,110,108,106,106,107,107,106,107,109,110,107,105,106,107,106,105,107,110,112,111,110,108,108,108,108,107,104,102,100,97,95,95,96,97,99,100,101,102,103,105,106,108,109,109,108,107,106,105,104,105,107,109,110,107,102,99,99,98,96,94,91,91,93,93,92,91,90,89,88,87,87,88,88,87,88,87,86,86,86,86,86,87,87,87,88,88,89,90,90,91,91,90,90,90,90,90,88,88,88,88,87,88,88,87,87,88,88,87,87,88,88,87,87,86,86,88,93,104,105,100,92,93,101,104,107,108,105,102,102,100,97,102,107,107,106,104,104,103,104,108,108,100,96,98,100,99,97,97,97,98,95,90,88,89,90,90,91,90,90,90,90,90,90,94,100,100,98,99,103,109,113,111,104,96,91,91,97,103,102,101,106,108,107,106,104,102,96,92,95,103,108,106,102,103,103,103,105,107,106,104,104,106,107,107,106,104,100,95,92,90,89,87,87,88,88,87,87,87,87,88,88,87,87,88,88,87,86,87,86,91,100,110,114,108,100,98,104,111,111,106,101,95,91,90,95,102,106,105,102,105,109,108,103,94,89,86,82,84,90,94,97,102,106,108,108,108,108,109,109,109,null],[111,109,111,112,111,108,105,103,103,105,104,98,93,94,100,106,108,106,102,104,110,112,111,108,107,109,112,109,104,103,106,110,112,112,113,114,115,115,117,122,127,129,127,123,120,122,124,122,121,121,123,124,123,123,123,126,125,121,122,122,119,120,123,123,119,116,118,121,122,121,119,119,119,121,124,126,125,122,122,121,120,122,123,122,121,121,122,125,127,127,124,122,123,126,128,130,131,132,133,133,130,128,128,130,130,127,125,125,130,135,136,135,133,131,127,120,115,114,114,113,114,120,129,135,139,140,139,141,143,141,136,133,130,125,121,121,126,131,132,128,122,118,117,116,113,112,112,113,111,110,112,116,117,113,108,105,103,101,103,107,110,111,109,106,104,103,104,107,109,110,110,110,109,105,103,106,110,111,108,105,103,102,102,103,100,98,98,99,101,103,105,106,107,105,101,98,97,98,98,98,99,100,100,100,101,100,97,94,93,95,97,98,99,100,101,98,95,93,92,91,91,91,90,90,88,88,90,94,98,100,98,96,96,100,105,108,107,107,108,110,112,111,109,107,108,109,110,108,105,107,107,104,102,104,106,106,106,108,110,110,109,108,107,108,109,111,112,111,109,107,103,99,96,97,98,98,97,95,96,96,97,100,103,104,104,104,104,103,101,102,103,105,107,109,107,102,101,102,102,100,97,95,95,97,96,95,93,92,90,89,87,87,88,88,87,88,87,86,86,86,86,86,87,87,87,87,88,88,89,90,91,91,90,90,90,90,90,88,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,87,87,89,94,107,107,99,93,94,102,106,108,107,106,104,102,99,96,100,104,103,102,103,105,104,102,103,104,102,100,101,104,106,104,104,105,106,103,97,91,90,90,91,91,91,90,90,90,90,90,93,97,99,99,99,101,104,109,110,105,97,91,91,96,101,102,103,106,107,106,107,106,103,97,91,91,99,107,106,103,105,105,103,105,106,106,105,104,106,107,107,106,102,98,93,90,89,89,87,87,88,88,87,87,87,87,88,88,87,87,87,87,87,87,86,89,97,107,112,110,100,96,102,110,110,105,99,95,92,93,97,101,104,104,103,101,105,109,111,107,100,93,89,85,86,90,93,98,106,110,110,108,108,109,110,111,110,null],[109,109,112,116,114,109,107,107,103,101,99,95,93,95,98,101,103,103,103,106,111,112,110,107,108,112,113,111,108,108,110,111,111,111,113,115,117,117,118,121,125,128,127,125,125,127,127,124,122,123,123,121,119,120,123,125,124,121,122,118,108,109,117,120,118,116,117,118,118,116,116,117,119,120,120,120,119,118,119,118,119,121,121,119,119,120,122,123,126,128,129,126,123,122,125,127,128,128,129,130,130,131,133,134,132,128,125,126,130,135,137,134,132,132,132,129,123,118,116,117,121,129,136,138,138,138,138,138,138,136,134,133,130,123,121,124,129,131,129,127,122,116,113,113,114,114,111,110,109,106,107,112,113,111,108,104,101,100,102,106,107,107,106,106,107,105,104,106,109,111,109,107,106,105,104,104,106,108,106,103,102,101,100,96,93,91,92,96,101,104,106,108,108,104,100,99,99,97,95,97,100,101,100,99,99,98,97,96,97,98,99,98,97,97,98,96,93,92,93,95,97,98,97,94,91,91,93,96,98,99,97,98,101,105,109,110,108,106,106,107,108,107,106,106,107,108,109,108,106,105,105,104,104,105,106,107,108,109,108,107,108,107,106,104,105,108,110,108,106,107,108,107,105,103,102,100,99,97,98,98,98,99,101,103,104,105,105,104,102,101,102,101,103,107,105,100,100,103,104,102,99,99,101,100,97,95,93,91,89,88,87,87,88,88,87,87,87,87,86,86,87,88,88,88,88,88,87,87,88,89,90,90,89,89,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,87,89,91,94,111,107,97,94,98,104,107,105,103,105,107,104,99,95,99,102,99,97,100,104,106,104,101,99,103,105,104,105,106,106,105,104,105,103,100,95,93,93,94,93,91,91,91,91,92,91,90,91,97,102,104,102,102,105,106,102,96,91,89,94,101,101,101,105,106,106,107,107,104,98,92,86,93,104,106,103,104,105,105,105,106,107,106,104,103,106,108,106,102,98,94,91,89,89,87,87,88,88,87,87,87,87,88,88,87,87,87,87,88,87,87,93,104,113,109,98,94,100,109,111,104,97,91,87,91,100,105,106,104,102,100,100,103,108,111,108,103,98,95,93,92,92,95,99,107,110,109,107,107,109,111,110,110,null],[107,106,109,113,113,110,111,112,107,102,98,94,93,97,100,99,100,103,106,109,110,110,109,108,110,112,114,113,111,111,112,112,112,111,113,118,123,122,120,120,121,123,124,126,129,130,127,123,121,122,121,118,116,119,122,122,120,119,117,111,103,104,114,118,119,117,117,118,116,115,117,118,119,119,119,118,119,120,120,119,118,119,119,118,120,122,123,122,124,128,131,131,127,124,122,123,125,127,128,127,129,131,132,133,133,130,126,124,126,129,132,131,128,129,133,134,129,121,118,122,129,134,135,135,136,137,138,137,136,137,138,136,129,120,121,126,127,127,127,125,120,114,110,110,111,110,107,109,108,105,107,113,114,111,107,102,99,101,102,101,103,105,104,105,107,108,108,108,109,109,107,103,100,99,100,99,101,102,103,101,100,98,96,92,89,88,88,94,102,106,107,107,105,102,99,98,99,99,99,102,104,104,102,101,100,98,97,97,98,98,97,96,95,95,95,96,95,96,98,100,103,104,104,100,98,99,102,103,104,103,102,103,106,108,109,108,108,106,103,100,99,97,96,98,101,103,105,106,107,107,108,108,107,105,103,104,106,106,105,106,108,107,104,102,103,106,106,103,100,102,106,109,110,109,107,104,101,99,100,102,103,103,103,104,105,107,108,108,108,107,106,102,102,104,104,102,101,104,106,104,100,100,101,100,98,95,93,90,88,87,88,88,87,87,88,88,88,89,90,91,91,90,90,90,91,92,91,89,89,90,90,89,89,88,88,88,87,87,88,88,87,87,88,88,88,88,87,87,88,88,87,87,87,87,88,90,92,95,108,102,94,96,103,107,108,103,99,100,105,108,102,96,99,103,100,98,100,103,106,106,102,99,101,103,104,106,108,108,102,95,94,96,95,92,91,92,94,95,93,92,92,93,94,93,90,90,94,100,104,106,106,107,105,100,96,92,89,93,100,100,100,105,107,108,108,109,106,100,91,86,91,102,106,105,103,104,106,105,106,107,105,103,104,107,108,105,100,98,96,92,90,90,87,87,88,88,87,87,87,87,88,88,87,87,87,87,88,87,89,99,108,108,99,92,97,107,111,107,98,92,88,88,96,105,108,105,102,99,97,96,100,105,108,107,104,101,99,97,95,95,99,105,108,108,106,106,108,109,108,107,107,null],[105,105,107,109,110,111,113,112,108,104,101,96,95,100,104,104,103,105,109,110,108,107,108,109,110,111,114,114,112,111,112,114,114,113,114,118,124,125,122,120,119,120,123,127,130,130,127,122,120,120,119,117,116,117,120,118,117,117,112,108,105,108,114,119,120,120,121,122,120,118,118,119,119,119,119,120,123,125,124,121,119,119,119,121,123,125,125,123,122,125,130,133,132,128,125,123,126,128,129,128,129,131,130,132,134,134,131,127,124,123,127,127,125,126,128,130,127,121,120,126,134,135,131,131,134,135,136,135,133,135,139,138,130,120,121,125,123,123,124,124,119,114,112,110,106,103,104,107,108,106,108,114,116,111,105,99,97,100,100,99,101,104,104,104,107,108,109,108,107,105,103,99,96,95,95,95,96,98,100,100,98,95,93,92,90,87,87,94,103,106,103,100,98,98,97,96,97,99,101,104,105,103,101,100,99,99,97,96,95,94,94,95,95,95,97,100,101,102,103,104,105,106,106,105,104,106,108,109,109,108,107,107,107,107,107,107,109,107,100,93,90,89,89,92,97,101,103,104,107,109,111,110,108,104,101,102,104,104,105,108,109,106,102,100,102,104,103,101,98,97,101,106,109,109,108,106,103,102,104,107,108,107,107,106,106,107,108,109,111,112,111,107,103,102,103,102,100,102,106,105,101,99,100,100,97,95,93,89,87,87,88,88,87,87,88,89,90,91,93,95,94,93,94,94,95,96,96,94,91,90,89,89,89,88,88,88,87,87,88,88,87,87,87,87,88,88,87,87,88,88,87,87,87,87,89,91,94,96,101,95,91,98,106,108,107,102,97,97,103,108,104,97,100,105,103,102,103,102,104,107,106,102,99,98,102,105,108,110,101,91,89,91,91,91,90,91,94,95,93,91,92,92,92,91,91,92,94,97,102,107,111,110,106,101,97,93,88,91,98,100,101,105,108,109,108,108,108,101,93,90,93,99,105,106,104,104,106,106,107,107,105,103,105,107,107,103,99,98,97,94,89,88,87,87,88,88,87,87,87,87,88,88,87,87,87,88,88,89,94,102,105,96,91,97,106,111,107,99,93,89,91,96,103,107,106,102,99,96,94,93,97,103,107,107,104,102,102,100,98,99,104,108,108,106,105,108,110,109,107,105,106,null],[106,108,111,110,109,112,112,109,105,104,103,101,99,100,106,111,110,108,110,109,106,104,105,107,109,110,113,112,110,111,113,114,115,116,117,117,119,123,125,123,122,123,126,128,127,127,126,124,121,119,118,117,115,116,118,117,117,115,113,111,110,112,117,120,122,123,126,129,127,122,117,119,122,121,121,122,125,128,128,125,123,122,121,121,125,128,127,124,121,122,126,130,132,131,129,126,124,127,130,131,132,133,132,133,135,137,137,135,129,124,124,126,127,125,122,119,119,122,123,126,132,132,130,131,131,131,132,130,126,127,132,135,130,123,122,124,123,122,123,124,122,119,115,111,104,100,101,105,107,105,105,109,112,108,100,95,96,97,98,99,103,106,105,104,105,104,102,100,99,99,97,96,95,95,94,92,92,95,98,99,96,92,90,90,91,90,90,94,100,100,95,93,92,93,94,94,94,96,98,99,99,97,95,95,95,96,94,93,92,94,96,97,97,99,103,106,106,105,104,105,106,107,106,105,106,107,109,109,109,107,108,107,106,105,106,109,109,105,97,91,89,90,93,97,101,105,107,106,107,108,110,109,106,104,103,103,103,104,108,111,108,103,99,99,101,104,104,103,101,102,103,105,106,106,106,106,107,108,110,109,108,109,109,106,104,105,104,104,105,108,110,109,106,102,100,99,96,97,103,104,102,100,100,99,96,93,90,88,87,87,88,88,88,89,90,90,91,93,93,92,93,95,97,97,96,96,97,96,92,89,88,89,88,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,86,86,88,90,93,103,104,97,90,91,100,105,104,105,102,97,99,104,107,102,96,99,105,105,105,105,102,101,105,106,104,101,99,100,101,105,110,107,102,97,97,98,96,94,94,94,93,90,90,91,90,87,86,89,93,96,97,100,106,111,111,107,101,97,93,87,88,95,102,105,105,107,107,105,105,106,102,98,97,96,96,101,105,105,106,106,107,109,109,106,103,103,104,104,101,98,96,95,93,88,88,87,87,88,88,87,87,88,88,87,87,87,88,88,89,90,93,98,99,94,88,91,104,110,107,101,93,89,91,97,103,106,106,104,101,98,95,92,93,97,104,108,108,107,106,106,104,103,105,107,108,108,106,108,111,113,111,109,108,108,null],[111,112,111,109,109,110,110,108,105,104,105,105,103,99,102,110,112,112,110,108,106,105,105,107,107,109,111,110,108,110,112,113,114,115,116,115,116,122,126,125,124,125,129,130,125,123,124,125,124,121,118,116,115,116,117,117,116,116,116,115,115,116,118,121,125,128,130,131,130,126,122,124,127,127,126,125,126,128,131,130,128,127,124,123,126,130,129,126,123,121,123,126,128,130,130,127,124,125,127,129,129,129,131,132,133,134,136,137,134,128,128,130,132,130,124,117,118,123,125,125,127,130,133,133,129,125,125,124,119,119,123,126,125,122,124,127,127,123,120,122,124,122,119,112,104,98,98,102,105,103,100,103,109,109,103,97,95,96,97,99,102,104,104,104,104,101,97,95,94,94,93,92,93,94,94,92,92,95,97,98,95,91,88,90,92,92,91,92,94,93,91,90,91,92,93,94,95,95,95,94,93,93,93,94,95,96,96,95,96,98,101,102,102,104,106,107,108,106,105,104,104,105,105,106,107,107,107,107,105,105,106,106,105,103,104,106,106,102,97,94,95,98,101,102,104,106,107,106,107,108,110,109,106,104,104,103,101,103,106,106,104,100,98,100,104,106,106,106,106,107,108,108,107,108,108,108,110,112,112,108,105,103,104,102,101,102,101,101,103,105,108,110,109,105,100,96,94,95,97,98,99,100,101,99,94,91,89,88,88,88,88,88,89,89,90,91,92,94,92,90,90,95,98,98,96,96,96,95,91,89,88,89,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,86,87,88,91,95,103,103,96,93,95,101,103,102,104,101,97,99,105,107,102,96,99,103,103,104,106,104,102,103,103,103,102,101,99,97,98,103,108,111,109,107,106,102,98,95,94,92,90,90,90,89,89,90,90,91,94,98,102,105,107,109,107,102,98,95,89,87,91,100,106,105,105,107,105,103,104,103,102,102,100,96,95,97,102,104,105,107,107,106,103,101,100,100,100,98,95,92,92,92,87,87,88,88,87,87,88,87,88,88,87,87,87,88,89,90,93,97,99,93,87,89,98,106,104,98,94,92,94,98,102,106,107,104,101,98,95,92,91,93,100,106,108,109,110,111,110,108,108,110,109,106,104,106,108,109,109,108,108,109,109,null],[116,114,108,107,107,108,109,110,109,107,106,107,106,99,97,102,107,110,109,108,108,108,108,108,108,108,110,110,110,110,111,113,113,112,114,116,120,124,125,124,122,123,128,128,124,121,123,125,126,122,118,115,115,117,118,117,117,119,119,119,119,119,121,123,127,131,130,127,127,129,130,130,130,132,131,129,127,128,130,132,132,130,128,126,129,131,130,128,126,124,124,126,126,127,129,127,125,125,125,124,124,125,127,129,128,128,130,133,134,132,133,135,136,134,130,126,125,127,126,125,125,129,134,134,128,120,118,118,116,116,117,118,118,119,125,131,129,122,116,118,122,122,119,113,105,99,98,100,102,101,99,101,108,113,110,102,97,97,98,97,96,98,102,104,102,98,95,94,92,91,90,89,90,91,92,92,94,95,95,94,93,89,88,91,93,93,90,89,90,91,91,93,95,95,95,97,98,98,96,93,93,95,98,99,100,100,100,101,102,102,104,105,105,105,105,104,104,104,103,101,101,103,105,107,107,108,107,105,103,102,104,105,104,101,100,99,99,99,100,100,101,102,103,102,103,103,103,104,106,109,112,110,107,103,102,101,99,99,101,100,99,99,101,104,107,109,108,106,106,107,109,110,111,112,111,110,110,111,110,107,102,98,97,98,100,101,102,103,106,108,108,109,110,108,102,97,96,96,95,93,94,98,99,96,92,90,89,87,87,88,88,89,89,89,90,91,93,93,91,89,91,94,96,96,95,96,95,92,89,88,87,87,88,88,88,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,87,89,92,97,102,103,100,99,101,102,102,103,104,101,96,97,103,107,104,97,99,103,100,101,104,107,106,103,101,102,102,103,102,98,93,96,102,109,112,111,109,105,100,96,94,95,95,94,93,95,98,99,95,91,92,98,105,106,104,107,108,104,101,99,96,91,89,97,103,103,105,108,107,104,103,104,106,105,103,99,93,91,96,100,103,105,104,101,98,98,98,98,96,94,91,89,89,91,87,87,88,88,87,87,88,88,87,87,88,88,88,88,89,90,95,97,95,90,90,97,104,103,96,90,90,96,103,106,106,106,105,102,99,96,92,89,89,93,102,108,108,108,112,114,111,109,110,112,110,106,103,104,106,104,102,101,102,103,104,null],[114,114,108,105,106,108,109,109,110,109,108,109,108,104,100,97,98,101,106,109,109,108,108,108,109,110,110,111,114,113,112,113,112,112,117,121,123,124,123,121,120,120,123,123,120,118,121,125,126,121,116,114,117,120,120,120,120,121,121,121,122,123,124,125,127,129,126,123,125,130,133,132,129,129,129,129,127,127,129,131,132,131,131,132,132,131,129,128,127,125,126,128,127,126,128,130,128,128,126,124,122,124,125,127,128,128,127,127,128,130,132,134,135,135,133,132,132,132,130,126,124,126,131,132,126,119,116,116,117,116,116,118,118,117,122,127,125,117,113,116,119,119,117,113,108,104,101,102,103,103,103,104,106,109,111,105,99,98,98,95,93,95,99,100,98,94,91,90,90,89,88,88,88,88,88,89,91,92,90,89,90,88,88,90,91,90,89,89,90,92,94,97,98,98,98,100,101,101,99,98,97,99,100,101,102,102,101,101,102,102,102,103,101,100,99,98,99,101,102,102,101,102,104,106,107,107,106,104,101,101,102,103,103,102,98,94,95,100,104,105,103,100,99,99,101,101,101,102,104,108,111,111,109,105,101,97,94,96,99,101,102,103,106,108,107,106,106,106,105,104,106,109,110,111,110,108,106,106,108,108,106,103,101,103,105,105,106,107,109,109,109,110,110,109,105,101,98,98,99,97,95,94,94,93,91,89,88,88,87,88,89,89,88,89,91,93,94,92,90,90,91,92,94,94,95,94,93,89,87,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,88,88,89,91,95,98,102,103,101,102,104,105,104,103,103,100,95,94,99,106,103,96,100,104,102,100,103,107,106,102,102,103,101,102,103,102,99,97,97,99,101,105,109,108,104,100,97,97,99,101,101,103,104,103,102,100,98,99,103,105,104,106,107,106,104,103,100,93,88,93,100,102,104,106,107,107,106,107,108,106,105,104,99,96,96,100,104,105,102,99,98,100,99,96,92,89,89,90,90,88,87,87,88,88,87,87,88,88,87,87,88,88,89,89,90,93,94,92,89,91,98,105,105,99,93,91,95,103,108,109,106,106,104,100,97,94,90,87,88,92,101,108,109,109,112,110,107,105,106,108,110,110,109,107,104,100,98,96,95,95,94,null],[113,116,111,108,107,109,108,108,109,110,109,108,109,109,106,100,94,94,102,108,109,109,108,108,110,111,110,112,115,117,115,114,112,115,120,123,122,121,119,118,117,117,119,119,117,118,122,126,124,119,114,113,117,121,123,123,122,120,120,120,122,124,125,127,127,125,123,122,125,131,134,130,127,127,129,130,129,130,132,133,130,128,131,135,134,132,130,129,128,126,129,131,128,125,127,129,130,132,131,128,126,126,124,126,129,131,129,126,125,126,128,130,131,132,132,132,133,135,135,129,123,123,127,127,121,116,113,114,115,115,115,120,121,118,118,120,118,114,112,115,118,118,117,115,111,107,105,105,104,103,105,105,104,104,107,104,99,98,98,95,93,93,94,94,92,90,88,87,87,88,88,88,87,86,85,86,87,88,88,87,87,87,87,88,89,88,90,91,91,93,96,97,97,97,98,100,101,102,101,101,102,101,102,102,103,101,98,98,100,101,101,101,99,98,97,98,99,99,100,102,105,106,105,105,106,105,104,103,102,102,103,104,104,104,99,94,95,101,106,106,102,96,95,99,103,105,105,106,107,108,110,112,109,104,100,96,95,98,102,103,102,102,104,104,100,98,98,100,99,98,100,103,104,104,103,102,100,100,103,106,107,105,104,105,107,107,108,109,109,109,109,108,108,108,107,104,100,99,103,101,96,91,90,91,90,89,88,87,87,88,89,88,88,90,93,95,94,91,90,91,92,92,92,93,93,92,90,88,87,88,87,87,88,88,87,87,88,88,87,87,88,87,88,88,87,87,88,88,87,87,88,89,90,91,97,100,102,105,104,104,106,108,107,103,102,99,94,91,96,104,102,95,101,107,104,101,103,106,105,102,104,105,102,101,103,105,104,100,95,92,92,96,101,104,103,102,101,101,104,106,107,107,106,103,103,106,105,102,103,105,107,107,107,106,104,102,101,97,92,91,97,104,106,104,105,107,108,108,108,108,108,107,105,102,99,100,104,104,101,99,99,100,98,94,88,86,88,92,92,88,87,87,88,88,87,87,88,88,87,87,88,88,88,89,90,93,90,87,90,96,103,104,99,94,95,99,104,107,109,107,106,106,103,100,97,93,89,86,87,91,100,107,110,109,108,105,102,103,104,104,107,111,114,111,105,99,97,96,94,92,91,null],[118,120,116,112,109,107,107,107,108,108,106,106,108,109,109,106,98,95,100,106,110,110,108,107,108,110,110,111,113,117,117,114,114,116,118,118,117,116,115,116,116,118,119,119,118,121,126,126,123,117,113,113,117,121,123,123,120,118,117,117,119,122,125,127,125,123,122,126,129,132,133,130,128,131,133,133,133,135,137,136,132,127,128,133,135,135,135,132,129,127,130,133,130,125,125,126,129,133,135,133,129,125,122,123,127,132,133,131,128,127,127,127,129,130,131,130,131,134,136,131,122,120,123,122,116,110,109,111,112,112,112,117,121,119,116,114,115,113,110,113,117,119,120,117,112,108,107,106,104,101,102,104,102,100,101,99,97,97,98,97,94,90,89,88,87,87,86,85,85,85,85,85,85,85,86,86,86,87,88,89,88,87,87,87,88,90,91,91,91,91,92,93,93,93,94,96,98,99,98,99,100,102,103,104,101,97,95,97,100,102,103,103,102,101,103,104,103,98,97,100,106,108,107,106,105,103,102,101,102,103,105,106,106,105,101,96,97,101,104,103,100,97,98,102,107,111,112,113,111,109,109,108,105,100,99,99,100,103,104,101,97,95,97,96,92,90,91,92,92,93,94,97,98,97,96,95,96,97,98,100,100,99,99,100,102,105,107,108,108,108,107,106,107,108,107,106,103,103,105,102,96,92,91,92,89,87,86,87,87,88,89,88,89,92,94,94,91,89,90,93,94,93,92,91,91,90,89,87,87,88,87,87,88,88,87,87,88,88,87,87,87,87,88,88,87,87,88,88,87,87,88,89,91,92,96,97,99,104,107,107,108,110,108,103,100,98,92,89,94,103,101,95,100,106,105,102,102,105,106,104,105,105,105,104,104,102,101,99,98,96,94,92,92,93,95,98,103,106,106,105,104,106,106,102,101,105,107,106,105,107,110,109,107,104,102,100,101,101,97,91,94,105,108,104,102,104,107,108,108,110,109,106,105,103,99,100,103,102,100,99,97,95,93,90,87,87,89,91,92,88,87,87,88,88,87,87,87,87,88,88,88,88,88,92,92,91,87,88,95,100,98,93,89,91,99,106,110,110,108,106,105,104,102,100,97,93,89,86,87,91,100,107,110,106,102,102,104,106,106,104,105,108,112,111,106,101,99,98,99,100,99,null],[118,118,114,110,108,107,108,108,108,107,106,106,106,107,108,106,100,97,100,105,107,108,107,107,108,109,110,110,111,113,115,114,112,112,113,113,113,114,116,117,118,120,122,122,122,125,126,123,119,115,114,117,121,123,123,121,118,118,118,119,118,120,123,124,122,121,122,125,128,130,129,127,126,128,130,131,131,133,135,136,135,134,133,134,136,138,136,133,128,126,129,134,131,126,125,125,128,132,135,135,130,125,124,126,128,131,134,135,133,131,130,129,129,130,132,131,130,131,132,131,125,120,117,116,117,116,114,113,114,115,114,115,116,114,111,111,112,111,110,112,115,118,119,117,114,112,110,108,104,101,103,103,101,97,96,95,94,94,95,94,92,89,86,85,85,86,86,85,85,84,84,84,84,85,87,87,87,87,88,89,89,88,87,86,87,88,89,88,88,87,88,89,89,89,89,91,95,98,99,100,101,103,104,104,100,97,97,100,102,103,103,102,101,101,103,104,101,94,92,95,101,103,103,102,102,102,101,100,100,101,103,104,103,101,99,97,98,99,99,99,99,100,101,104,108,112,112,110,106,103,103,102,98,95,97,99,101,100,99,96,94,94,95,95,94,94,93,93,94,95,94,94,95,95,95,96,97,99,100,99,99,99,100,101,102,104,106,107,109,111,110,108,108,110,110,109,107,107,106,102,98,94,93,92,89,87,86,87,88,89,89,89,90,93,95,92,89,89,91,93,94,92,90,89,89,90,89,88,88,89,87,87,88,88,87,87,88,88,87,87,87,87,88,88,87,87,88,88,87,87,88,90,92,92,92,90,92,98,105,107,107,109,107,103,100,97,92,89,93,101,101,97,98,103,106,103,100,103,107,106,104,103,105,106,105,103,102,101,101,101,99,96,92,88,87,90,94,96,94,95,99,103,105,104,104,106,106,105,106,108,110,109,108,106,103,100,100,101,101,94,92,100,107,107,106,105,106,105,104,103,104,105,105,102,99,99,101,100,98,95,93,92,90,89,87,87,88,90,90,88,87,87,88,88,87,87,88,88,88,87,87,87,87,91,90,88,87,90,95,96,92,88,91,97,105,110,112,110,106,104,103,102,102,101,98,94,90,87,87,91,98,104,106,103,102,105,109,109,107,107,106,108,110,109,105,102,101,102,104,106,106,null],[115,114,111,105,104,107,109,109,108,109,109,108,106,106,105,103,99,98,100,103,105,105,105,107,109,111,111,111,110,110,111,112,110,108,109,111,112,115,118,120,121,122,123,125,125,125,122,117,114,114,117,121,125,124,120,118,118,120,122,122,120,119,121,121,121,121,122,123,124,125,125,124,124,125,126,127,127,128,131,133,136,139,139,137,137,138,135,132,128,126,129,133,131,127,127,127,128,129,131,131,127,126,130,131,130,128,130,134,136,135,135,133,132,134,136,136,133,129,129,132,129,119,112,113,121,127,124,119,120,121,119,116,112,109,110,112,113,112,110,112,113,114,113,113,114,115,113,110,107,106,106,104,99,94,93,92,91,91,90,89,88,88,88,87,86,86,86,87,86,85,85,84,84,84,86,88,87,85,84,84,84,85,86,86,86,86,85,85,85,86,87,87,87,87,87,89,93,97,100,101,102,103,104,102,101,100,101,102,103,101,99,98,97,98,99,99,96,92,90,92,96,97,97,98,99,100,100,99,98,98,99,98,97,96,97,98,98,98,98,99,101,103,103,102,104,106,104,100,96,96,97,97,96,95,97,99,99,98,96,97,99,100,101,101,102,103,104,103,103,103,101,99,99,101,103,104,105,106,106,105,105,106,108,107,106,106,106,107,111,114,114,111,109,112,113,111,109,107,106,103,99,96,94,90,87,86,87,88,88,89,90,91,92,93,92,90,88,89,93,94,93,90,89,89,88,87,88,89,89,89,87,87,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,87,87,88,90,92,91,89,85,84,91,88,102,103,104,104,103,101,98,94,90,92,99,102,99,95,98,106,104,99,100,104,105,103,102,103,105,106,106,105,104,102,101,102,102,98,92,87,88,88,86,83,86,93,99,101,105,108,107,104,103,104,107,109,109,110,111,108,102,99,100,102,99,94,94,99,106,108,108,108,105,101,98,101,106,105,100,97,98,100,99,95,91,90,90,89,88,87,87,87,89,89,88,87,87,88,88,87,87,88,88,88,87,87,87,87,89,87,87,89,91,91,89,89,93,99,105,109,109,108,107,105,103,102,101,102,102,99,94,90,88,87,91,96,99,100,101,106,109,109,107,107,110,110,109,110,110,107,105,105,106,108,108,108,null],[114,113,110,103,101,106,109,109,110,112,112,111,108,106,104,101,97,95,98,103,106,105,105,108,110,112,113,112,110,109,110,112,110,109,110,111,112,115,118,120,121,122,122,122,122,121,117,112,111,115,119,122,121,118,117,117,119,121,122,122,121,122,122,121,121,122,122,121,122,122,122,123,126,128,128,127,128,131,133,134,133,135,135,135,137,138,136,133,130,127,129,133,132,130,128,130,132,131,130,129,127,127,132,133,128,123,123,127,132,136,139,137,133,135,139,139,135,131,132,132,126,117,113,114,121,127,127,123,122,122,121,119,115,111,112,117,119,115,110,110,111,110,108,108,112,113,112,112,112,110,107,102,97,93,91,90,89,88,87,86,88,89,89,88,87,86,86,87,87,86,85,85,85,85,85,84,84,84,85,85,84,86,87,87,87,87,86,85,86,87,87,87,87,87,88,90,93,94,95,97,100,101,100,99,98,100,102,101,99,97,96,96,95,95,96,97,98,97,96,96,97,98,98,98,99,100,99,99,99,99,98,97,96,97,98,100,101,102,102,103,103,105,104,101,100,99,96,94,94,96,98,99,99,99,100,101,102,104,105,105,108,109,108,105,105,107,110,110,111,111,110,108,108,111,113,113,112,112,111,112,113,114,113,112,111,108,106,107,111,113,113,109,108,110,110,107,103,103,104,104,100,96,94,90,87,86,88,88,87,88,91,93,95,94,90,88,88,92,94,94,91,89,88,87,87,87,88,88,88,88,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,90,92,94,92,89,85,91,85,99,99,100,103,103,102,99,94,90,91,96,100,99,95,97,106,105,97,94,98,102,106,105,103,103,103,104,104,104,101,98,101,103,101,98,97,98,99,96,89,84,86,85,86,87,88,89,104,103,104,106,108,109,110,113,112,106,100,99,102,101,98,94,91,93,101,109,110,109,107,103,105,108,103,97,95,97,98,96,93,90,88,88,87,87,88,87,87,88,87,87,88,88,87,87,88,88,87,87,87,88,88,88,89,87,87,88,89,90,90,89,91,97,103,107,108,107,105,104,103,102,101,101,102,100,96,92,89,88,86,89,93,95,97,100,106,107,104,101,104,108,110,110,111,113,114,112,110,110,111,111,109,null],[112,113,112,105,102,105,108,109,110,110,111,109,107,105,103,100,96,94,97,103,106,106,106,107,109,111,112,111,110,110,112,112,111,110,111,111,112,115,117,117,117,117,118,118,117,116,113,109,110,114,117,118,118,117,117,118,121,123,122,121,123,125,124,122,121,121,119,118,119,120,121,125,128,131,130,129,132,135,134,131,128,128,129,132,134,135,135,135,133,131,130,132,134,132,130,133,136,134,132,132,131,130,132,128,122,116,116,121,126,131,137,137,134,135,140,141,137,133,134,134,126,119,115,117,121,124,125,125,124,123,123,122,119,116,117,120,120,115,110,109,110,108,106,106,109,109,107,111,114,108,101,97,94,92,90,89,89,88,87,88,89,90,89,88,88,87,87,87,87,86,86,85,85,84,85,85,84,84,85,85,84,85,87,87,87,87,87,87,88,89,89,88,87,87,88,90,91,90,90,92,95,96,94,93,94,97,99,98,97,97,98,98,96,96,98,99,101,102,103,103,103,103,102,102,101,101,100,100,101,102,102,102,102,102,102,102,103,103,103,103,104,104,102,98,96,96,97,98,100,102,104,105,105,105,105,105,107,110,111,112,112,112,111,108,107,109,111,112,113,115,114,114,115,116,118,116,115,114,113,112,114,114,112,113,112,110,107,105,106,108,107,105,104,105,104,102,98,98,100,101,98,95,93,89,87,86,88,88,87,88,92,95,95,92,89,88,89,93,95,95,90,88,87,87,87,87,88,88,88,88,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,90,93,97,96,91,85,90,83,97,96,98,101,103,103,98,91,88,90,93,97,98,94,96,105,106,98,93,92,96,100,103,104,104,104,103,102,100,97,97,100,102,101,100,101,103,105,104,97,91,89,87,86,86,86,86,99,101,103,106,108,108,109,112,112,109,103,101,102,103,102,97,92,90,93,100,105,108,108,107,107,107,100,95,95,96,96,96,93,88,86,87,88,89,88,87,87,88,87,87,88,88,87,87,88,88,87,87,88,88,88,88,87,87,88,90,91,92,95,97,98,102,104,104,103,103,102,102,102,103,103,102,101,98,94,90,88,88,85,88,90,93,95,99,105,105,102,102,105,108,110,111,112,114,115,115,114,113,112,111,109,null],[108,110,111,108,104,103,105,107,106,106,106,105,103,102,100,98,96,98,102,105,106,106,106,107,108,109,109,108,108,110,112,112,111,110,110,111,112,114,114,113,111,111,113,115,113,112,111,110,111,112,112,114,118,121,121,120,123,127,124,122,126,128,126,123,120,118,115,114,116,119,122,125,128,129,129,129,132,134,131,127,125,127,129,130,131,133,134,135,136,135,134,133,135,136,134,136,138,138,138,138,137,134,130,123,115,111,113,117,119,123,128,132,132,134,138,141,138,133,134,134,129,122,118,119,120,120,122,124,125,125,124,122,120,118,118,117,115,111,109,110,109,105,103,106,109,107,103,106,107,101,94,91,90,89,88,88,89,88,87,89,88,85,85,87,88,88,88,87,87,87,87,86,85,84,84,85,85,85,84,84,84,85,84,84,84,84,85,86,88,89,89,87,86,87,88,89,89,89,88,90,91,92,91,90,90,92,95,95,96,99,100,100,99,99,99,100,101,101,103,105,105,104,104,103,102,101,100,100,101,101,102,103,103,104,103,102,99,98,97,96,98,101,100,96,96,100,103,106,107,108,109,110,110,108,109,109,108,108,109,110,109,107,108,109,109,110,109,109,110,111,111,111,112,114,114,113,111,111,110,108,107,106,106,108,110,110,107,104,103,104,103,101,99,100,101,100,98,96,96,96,95,94,92,89,87,86,87,87,88,90,93,94,93,90,89,89,90,93,95,90,88,88,87,88,88,88,87,87,87,87,87,87,88,88,87,87,88,88,87,88,87,87,88,88,87,87,88,87,87,87,89,91,95,98,95,88,84,82,81,84,88,95,99,102,102,96,90,87,89,91,94,96,93,95,104,107,102,96,92,91,91,94,100,105,105,103,100,97,97,98,100,101,100,98,96,98,100,101,99,97,95,93,89,87,86,86,85,85,85,86,104,105,106,107,108,108,107,105,104,105,104,100,100,99,93,91,95,100,102,103,103,102,99,97,97,95,93,96,93,86,85,89,92,92,89,87,87,89,90,87,88,88,87,88,87,87,88,88,88,89,89,89,88,89,92,94,97,100,105,107,107,106,104,101,100,100,101,102,104,106,105,102,99,96,92,89,88,87,87,88,91,94,94,97,103,106,107,109,110,110,112,112,111,110,109,110,112,111,110,109,109,null],[104,105,108,106,102,99,100,102,103,106,107,105,102,100,100,99,97,100,106,108,106,105,107,109,109,108,106,106,106,107,107,106,109,111,111,110,110,111,111,111,110,110,112,113,113,112,112,112,112,112,111,113,118,123,126,124,124,128,125,126,130,131,128,125,122,118,112,110,115,122,126,125,125,127,128,127,128,127,126,126,128,131,133,133,132,135,137,138,137,135,135,137,140,141,138,138,141,141,139,138,138,137,132,124,117,116,118,116,114,114,118,123,128,132,135,136,136,134,130,128,126,123,120,115,113,114,116,118,121,122,121,119,116,115,116,115,110,108,110,112,110,105,103,106,110,109,104,103,101,94,88,87,87,87,88,88,88,87,87,87,88,88,87,86,86,86,86,87,87,87,87,86,85,84,84,85,85,85,85,84,84,85,85,84,84,85,85,86,86,86,86,86,87,89,92,93,92,90,88,87,89,92,93,93,90,89,90,91,92,95,97,97,96,94,94,96,97,96,97,99,98,97,98,99,98,96,94,93,94,94,94,95,96,96,96,96,94,92,91,91,93,97,100,99,101,103,105,106,108,109,109,108,107,105,105,105,104,103,103,104,103,102,101,102,103,104,104,104,105,105,104,104,106,108,107,106,105,105,106,106,104,102,101,104,108,109,108,106,105,105,104,102,101,103,104,102,100,97,95,94,93,92,90,89,87,86,87,87,89,91,92,91,90,89,89,88,87,88,88,88,88,87,87,88,88,88,87,87,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,91,90,91,94,92,87,84,82,81,83,86,94,99,102,102,97,91,89,90,91,93,94,91,93,100,103,100,98,98,97,93,89,92,97,101,103,102,100,100,101,102,102,101,98,97,98,97,95,95,95,94,91,89,87,87,86,87,86,84,83,84,87,92,103,104,106,107,105,103,104,105,101,101,102,102,98,94,94,96,97,98,100,101,101,98,94,92,93,90,86,87,92,96,94,89,88,88,88,88,88,87,87,88,88,87,87,88,88,89,89,90,91,92,94,95,98,101,105,109,110,110,108,105,103,101,101,101,101,103,105,106,103,100,97,93,90,89,88,91,90,95,98,97,98,103,107,110,112,112,112,111,108,105,103,104,106,107,106,106,108,110,null],[103,102,103,102,98,94,96,101,105,106,106,103,101,100,101,101,99,102,108,110,107,106,108,110,108,106,106,106,105,104,103,103,108,113,115,113,111,110,110,112,113,113,113,114,115,116,116,116,114,112,113,114,117,122,126,125,126,128,127,127,129,131,131,128,127,124,116,112,116,125,128,125,124,127,129,128,126,125,125,127,130,134,137,137,135,137,140,140,137,135,135,138,141,141,138,137,139,138,136,135,135,134,131,126,121,122,123,118,112,110,112,115,121,128,132,131,132,134,129,123,119,119,118,113,110,111,112,112,114,116,116,113,111,110,111,112,111,111,113,114,111,106,105,108,111,110,104,100,95,90,88,87,87,87,88,88,88,88,87,86,86,87,88,87,87,87,87,86,87,87,87,86,85,84,85,85,86,86,85,85,85,85,85,84,84,85,85,86,87,87,87,87,88,91,94,96,95,94,92,91,91,94,99,100,97,94,92,91,90,91,92,93,93,90,88,89,90,88,88,90,89,88,89,91,91,89,88,88,88,88,87,86,87,88,89,91,92,91,90,90,92,95,99,101,103,102,102,101,101,103,104,104,102,100,99,99,100,100,100,101,101,100,100,101,102,102,103,103,102,101,99,100,101,103,103,102,101,101,103,105,105,103,101,101,104,106,108,108,108,107,105,103,103,105,105,103,100,97,95,93,93,92,90,89,87,87,87,88,89,91,91,90,89,89,89,88,88,87,87,87,87,88,88,87,87,87,88,88,88,88,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,87,88,88,90,92,92,91,92,90,88,86,84,82,83,85,91,97,101,102,98,93,91,91,91,92,93,91,92,96,99,98,98,101,102,98,93,89,89,93,98,102,103,104,105,105,105,104,102,101,101,99,95,92,92,93,91,90,93,94,91,92,89,87,85,84,86,89,97,101,104,105,104,102,104,105,103,100,101,107,108,101,97,96,96,97,99,103,103,99,96,93,90,88,90,93,97,97,93,89,87,87,87,88,88,87,87,88,88,87,87,88,88,89,90,92,94,96,98,100,102,104,107,107,108,107,107,107,107,105,102,101,101,102,102,103,103,103,100,94,91,91,91,96,96,100,103,101,102,105,108,110,111,110,109,106,103,100,101,103,103,101,102,105,108,110,null],[105,102,100,98,94,92,97,105,107,103,98,97,99,100,100,101,101,104,108,109,108,108,109,108,106,106,108,107,105,105,106,108,111,115,119,119,115,113,113,113,114,114,113,114,117,121,123,121,118,114,115,117,116,119,122,123,126,130,129,126,124,127,131,132,131,129,124,119,119,123,128,129,128,129,131,132,131,130,130,128,127,133,137,138,136,136,140,141,139,137,135,134,135,136,135,134,135,133,133,135,132,126,124,122,121,123,122,116,113,113,113,113,116,123,128,129,130,131,131,125,116,112,113,113,112,112,111,110,110,110,109,109,109,107,106,108,112,115,114,112,109,106,107,110,110,106,98,93,90,89,88,89,88,88,88,89,90,89,88,87,87,88,88,89,88,87,86,86,86,85,85,84,84,85,86,86,86,86,86,85,85,84,84,85,85,86,87,88,87,88,87,87,88,91,93,93,93,96,98,98,97,96,101,106,106,103,100,97,94,92,91,93,94,93,91,88,86,84,84,86,87,86,86,86,86,87,88,88,89,89,87,87,87,88,91,94,96,96,94,92,93,95,97,97,98,99,98,96,95,97,99,99,100,99,97,98,99,100,101,102,103,104,107,108,108,106,105,106,105,102,101,100,100,102,104,103,102,101,101,103,106,106,103,101,102,104,107,109,108,105,102,100,100,100,99,98,96,95,93,93,93,92,91,89,88,87,87,87,88,90,90,89,88,88,87,87,88,88,87,87,87,88,88,87,87,87,88,88,88,88,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,89,91,95,98,96,94,93,92,89,87,84,83,85,87,93,100,101,98,93,92,92,90,90,92,92,92,95,99,100,97,94,95,99,100,95,90,87,90,95,100,104,108,108,107,105,105,104,104,103,101,97,95,97,97,97,100,101,96,89,85,85,85,87,87,89,91,98,104,104,104,105,106,106,107,103,99,101,106,109,107,103,102,99,97,99,102,101,99,95,89,88,93,99,100,96,91,89,87,87,87,88,88,87,87,88,88,87,87,88,88,89,91,94,94,96,100,104,105,106,106,107,107,107,107,108,108,105,101,100,101,101,100,99,101,103,101,95,92,94,96,100,104,107,106,106,106,107,108,109,109,105,102,99,100,102,104,103,100,98,101,105,107,108,null],[108,106,101,96,93,95,100,104,103,100,97,97,99,100,102,103,104,105,106,107,109,109,108,106,104,105,107,106,104,106,113,120,122,119,120,120,119,118,116,115,114,114,115,116,117,121,125,125,121,117,119,121,118,117,118,120,124,127,127,123,120,123,128,132,133,130,126,121,115,118,127,131,130,127,130,132,133,133,134,130,129,133,135,135,133,134,137,138,136,135,132,130,129,130,131,132,132,131,134,137,133,125,120,118,119,121,119,116,115,117,116,114,114,118,124,127,128,128,129,127,121,115,112,114,116,115,112,110,110,108,106,107,108,107,106,108,113,116,114,111,108,107,107,105,102,97,92,90,89,88,88,89,89,89,89,89,90,90,89,89,89,89,89,90,90,89,87,86,86,85,85,85,85,85,86,86,85,85,85,85,85,84,84,84,85,86,87,88,87,87,88,88,88,89,90,91,92,94,97,100,101,101,103,104,105,105,105,103,100,97,95,94,94,95,95,93,89,86,85,86,87,87,88,87,86,87,90,92,93,92,90,89,89,90,93,95,97,96,95,94,95,97,99,99,101,103,103,101,97,96,96,96,97,99,99,99,98,97,96,96,98,101,103,105,105,103,101,102,102,101,102,103,103,105,107,106,105,104,101,100,101,103,104,105,104,103,106,108,106,102,99,98,97,95,94,95,96,95,93,92,93,93,92,89,88,87,87,88,88,89,89,89,88,88,87,87,88,88,88,88,88,87,87,88,88,88,87,87,87,87,87,87,88,88,88,88,88,88,88,87,88,88,87,87,88,88,87,88,89,90,95,98,100,99,98,96,88,85,86,86,87,82,89,98,101,97,93,91,91,89,90,92,92,92,94,99,103,101,95,91,94,98,97,93,90,89,90,94,99,103,101,101,103,104,104,104,105,105,100,98,100,100,101,104,104,100,96,95,95,92,90,90,90,91,98,103,102,103,106,109,109,107,105,102,99,103,109,110,107,106,102,98,97,99,100,97,92,88,89,94,99,99,94,90,88,86,87,87,88,88,87,87,88,88,87,87,88,88,90,92,94,94,96,101,105,107,107,107,107,108,108,109,109,106,102,98,98,100,100,99,98,101,104,102,98,97,101,103,105,108,108,105,108,110,109,108,107,106,102,99,99,102,106,106,103,100,100,104,107,107,106,null],[109,108,103,95,95,101,102,98,97,98,102,103,102,102,104,106,105,103,104,107,109,109,107,106,106,108,109,107,105,109,119,130,130,125,121,120,121,121,119,117,114,114,117,118,117,119,123,125,124,121,123,124,121,118,117,117,119,122,121,120,122,122,124,128,130,127,124,119,111,115,125,128,126,125,127,129,130,132,134,134,133,135,133,131,129,130,132,133,131,131,131,131,130,130,131,132,133,135,138,140,138,131,123,119,121,119,117,118,118,117,116,116,116,117,119,123,125,124,123,124,126,123,117,115,116,116,113,110,110,109,108,107,107,107,108,109,110,111,111,109,107,105,102,96,91,88,88,89,88,89,88,88,88,88,88,88,88,87,87,87,88,89,89,89,89,89,89,88,87,86,85,85,85,85,86,85,85,86,86,85,85,84,84,84,84,84,85,86,87,91,93,91,88,87,90,92,92,91,91,95,101,104,103,100,99,100,103,105,105,103,99,95,93,94,97,97,95,91,89,89,91,93,94,95,94,93,95,97,97,95,93,93,94,94,94,95,95,94,93,94,96,99,101,104,107,110,111,110,105,100,97,93,93,97,101,103,101,95,89,87,89,91,91,91,92,93,93,94,95,96,97,98,101,103,104,103,103,103,101,98,97,98,101,106,107,103,103,104,104,100,97,95,94,93,93,94,96,96,94,93,93,90,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,88,88,88,88,87,87,88,88,88,87,87,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,87,88,91,94,98,102,101,96,90,86,85,89,90,90,92,97,99,96,93,90,88,89,91,92,92,92,92,97,104,107,103,96,91,90,92,95,95,92,89,90,93,94,91,91,96,98,99,100,101,101,98,97,98,98,98,100,101,100,101,103,104,100,95,92,92,94,99,102,102,102,106,111,111,105,104,105,103,102,104,104,104,104,103,101,99,98,96,91,87,88,91,94,96,97,94,90,88,87,87,87,88,88,87,87,88,88,87,87,88,89,91,93,95,96,98,102,104,106,108,109,109,110,111,111,108,104,99,97,97,99,100,101,101,102,103,104,102,103,106,107,106,105,104,104,108,111,110,107,105,103,102,101,101,104,107,106,103,102,105,108,110,108,106,null],[105,105,102,96,97,104,105,100,98,101,105,108,108,108,107,105,102,101,104,108,109,109,108,109,110,114,117,115,112,114,122,129,132,130,128,124,122,123,124,122,118,116,118,119,118,119,121,122,124,125,125,125,123,119,117,118,119,120,119,121,125,126,124,123,124,125,123,118,111,113,120,123,124,127,128,129,128,127,130,132,134,136,133,129,128,129,129,129,129,132,134,136,135,134,136,137,138,139,141,142,141,138,131,126,122,119,117,119,117,115,115,117,120,118,115,114,120,123,121,120,124,125,121,116,112,112,110,109,108,108,109,110,108,106,106,107,107,107,108,107,104,101,95,90,88,88,88,87,87,88,88,88,88,88,89,89,88,87,87,87,88,88,87,88,88,88,88,87,86,86,86,86,86,86,86,85,85,84,84,84,84,85,85,85,85,85,85,85,86,89,93,93,91,89,90,92,93,91,90,91,94,97,100,102,103,102,101,102,104,104,100,96,93,92,91,92,93,93,93,94,98,101,103,104,104,102,101,102,103,102,101,101,101,99,98,98,96,95,96,97,98,97,98,99,100,103,108,111,109,104,96,89,87,93,102,106,104,98,92,87,85,85,85,85,86,87,87,86,86,88,89,88,88,90,92,92,93,97,99,100,100,99,100,102,103,101,101,102,101,100,97,94,93,94,93,94,96,97,96,93,92,90,88,87,87,87,88,88,88,87,87,87,87,87,88,88,88,87,87,87,87,88,88,87,87,87,88,88,88,88,88,87,87,87,87,87,88,88,87,87,88,88,87,87,88,88,90,88,86,85,87,90,95,99,99,97,97,96,93,92,90,88,90,93,95,95,94,90,86,87,90,93,93,92,92,95,99,104,106,104,99,95,92,91,91,90,90,89,91,91,88,87,89,90,91,90,91,93,93,91,91,92,94,93,94,97,99,100,99,99,98,95,93,94,100,105,105,104,106,110,110,106,103,102,101,101,101,100,100,101,104,105,104,100,95,88,86,90,95,95,97,98,91,89,88,87,87,87,88,88,87,87,88,88,87,87,88,90,91,93,96,98,100,102,103,104,108,110,110,110,111,110,107,104,100,98,98,100,102,105,104,102,101,103,105,106,107,106,104,102,102,104,106,108,108,105,102,100,100,100,98,100,106,109,107,106,107,109,109,108,106,null],[102,103,101,98,99,104,105,104,104,103,103,107,111,110,108,104,100,101,105,107,106,107,108,110,114,120,125,125,121,118,118,123,128,132,132,129,127,127,127,126,123,121,121,121,120,120,120,121,124,126,128,127,123,119,117,119,121,121,121,124,128,128,124,118,118,122,122,118,115,113,115,120,125,128,130,131,130,129,130,133,135,135,132,128,128,130,131,129,129,132,135,137,138,137,139,140,141,143,144,142,140,137,133,128,123,121,119,117,115,114,116,119,120,116,110,110,116,122,122,120,120,124,124,118,111,108,107,106,105,107,110,111,109,104,103,104,104,105,106,104,99,94,90,89,89,89,86,87,87,88,88,87,88,88,89,89,88,87,86,86,87,88,88,88,89,88,88,87,86,86,87,88,87,87,86,86,85,85,84,84,84,85,85,85,85,85,86,86,86,88,91,94,95,95,93,93,93,93,92,92,93,93,95,100,103,103,101,102,104,104,102,100,96,93,91,91,93,94,94,95,97,100,102,105,107,106,105,105,105,105,104,104,102,99,99,101,101,100,102,104,103,102,101,100,98,98,101,106,108,106,99,91,88,92,100,105,104,102,98,93,88,85,86,87,87,87,86,85,85,85,84,82,81,82,83,84,87,91,97,101,102,101,100,99,98,98,99,98,97,96,95,94,93,95,96,95,96,98,97,95,93,90,88,88,87,87,88,88,88,87,87,87,87,87,88,88,88,87,87,87,87,88,88,87,87,87,88,88,88,88,88,87,87,87,87,87,87,88,87,87,88,88,87,87,88,88,90,88,86,83,83,85,89,93,93,94,97,100,97,95,95,96,94,92,95,96,94,91,87,87,90,93,94,94,93,93,95,99,103,107,106,101,97,93,92,92,92,90,90,90,89,88,87,86,85,85,85,86,87,87,85,87,89,88,88,92,94,93,90,92,96,93,89,90,96,102,104,104,105,106,106,106,103,100,100,101,101,101,99,98,100,105,106,100,92,88,89,94,97,96,98,99,89,88,87,87,87,87,88,88,87,87,87,87,88,88,89,90,91,94,98,101,102,102,102,103,107,110,110,110,110,108,106,104,102,101,102,104,104,105,103,102,100,101,104,106,105,104,104,103,103,105,106,106,105,101,98,98,98,97,95,97,103,105,106,106,107,106,105,105,104,null],[104,103,101,101,102,103,103,103,105,102,99,103,109,110,108,106,104,104,105,104,102,105,106,107,113,122,127,129,124,117,113,118,125,131,131,132,134,132,129,128,128,127,125,124,123,122,122,123,125,127,131,129,123,119,118,120,122,122,124,126,128,127,122,115,114,118,120,120,118,114,112,117,124,127,130,133,135,135,136,136,135,133,130,128,129,132,135,132,129,130,132,134,137,139,139,138,139,140,140,136,133,128,124,122,123,122,118,113,112,115,120,121,117,111,110,112,115,118,122,122,119,122,125,122,114,107,105,104,104,106,110,109,106,104,102,101,102,104,104,101,95,90,89,88,87,86,87,87,87,88,88,87,87,88,88,88,88,88,88,88,88,89,90,90,89,88,88,88,88,88,89,89,89,88,87,87,87,86,85,85,85,85,86,86,86,86,87,88,89,91,94,97,101,103,101,97,95,94,94,96,96,95,94,95,96,99,104,106,106,105,105,105,102,99,100,101,101,98,95,93,92,92,93,96,100,103,104,104,104,103,101,99,97,96,98,103,105,105,107,108,110,111,112,111,108,104,101,103,106,106,104,100,96,96,100,103,102,102,101,100,95,91,90,91,91,91,92,92,91,89,89,88,87,86,87,88,89,92,96,98,100,100,100,99,98,98,97,95,93,91,92,93,95,96,98,98,97,98,98,97,94,90,88,88,87,87,88,88,87,88,88,88,88,88,87,87,87,88,88,88,88,87,87,88,88,88,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,87,87,88,88,87,87,88,86,84,84,86,87,88,89,91,92,91,91,93,95,94,94,97,98,94,92,91,89,90,93,96,96,96,94,94,97,101,103,104,102,100,101,103,100,96,93,91,90,91,91,90,88,87,87,86,85,87,87,86,86,87,87,87,88,91,90,86,88,92,89,86,87,88,91,98,102,102,103,104,104,103,103,105,105,103,103,101,96,96,100,100,95,87,88,93,96,96,96,97,99,88,87,87,88,88,88,87,87,88,88,88,87,88,88,89,91,91,96,100,102,102,102,102,104,107,108,108,108,108,107,105,103,102,102,106,108,105,101,99,101,101,99,102,105,105,106,107,106,105,106,107,106,102,99,97,97,97,98,98,99,100,100,101,103,105,103,101,100,101,null],[103,103,101,102,104,103,100,98,99,99,99,102,107,109,110,109,107,106,106,105,104,104,102,102,109,116,120,123,121,116,115,118,123,127,130,133,135,132,130,131,133,133,129,126,126,125,124,126,127,126,129,128,123,120,120,120,120,118,119,121,123,123,120,117,115,117,119,121,121,117,111,111,116,122,129,133,135,135,133,134,133,130,127,128,129,132,135,135,133,132,131,133,137,139,138,137,135,133,130,126,123,120,119,120,122,121,117,111,108,111,117,118,113,110,112,114,112,110,117,121,118,118,122,124,118,109,102,101,104,108,108,106,104,105,104,102,104,105,103,97,91,89,88,87,87,87,87,87,87,88,88,87,87,87,88,88,88,88,88,89,89,90,91,91,90,89,88,88,89,90,91,90,90,90,89,88,88,88,87,86,86,86,87,87,87,87,89,90,92,96,99,102,106,109,107,104,101,99,97,97,96,95,97,97,97,98,101,104,104,105,107,108,106,104,104,104,103,100,99,99,96,93,91,91,94,97,98,99,100,101,99,98,98,100,103,105,106,108,109,111,112,114,115,115,113,109,107,107,108,107,106,104,103,103,103,104,104,104,104,103,102,99,98,96,94,95,96,97,96,95,96,97,96,95,94,94,95,96,97,97,97,98,99,98,99,99,98,96,95,95,94,95,96,96,96,96,95,95,96,96,95,91,88,88,87,87,88,88,87,88,88,88,88,88,87,87,87,88,88,88,88,87,87,88,88,88,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,87,87,88,88,87,87,89,88,87,86,86,87,88,89,88,86,85,86,88,90,89,90,95,98,96,97,97,96,95,96,98,99,99,96,93,95,98,100,101,100,99,101,104,105,104,102,100,99,96,94,94,93,92,92,91,90,91,91,90,90,91,91,90,90,91,91,88,88,90,89,87,85,83,84,93,100,103,105,106,104,104,106,109,108,104,101,99,97,97,98,95,90,87,91,97,97,94,94,95,97,87,87,88,88,88,88,87,87,88,88,88,87,88,88,90,91,91,97,101,101,101,103,106,108,108,108,108,107,107,105,104,103,102,104,108,109,106,103,102,104,105,104,105,106,106,106,107,107,106,106,105,103,101,100,101,103,105,106,106,105,104,102,101,102,103,102,101,102,103,null],[101,101,100,103,107,107,101,96,95,98,102,105,107,109,111,110,108,107,107,107,107,106,103,102,106,111,115,117,118,119,121,123,124,126,130,133,133,131,130,132,135,135,131,127,128,128,128,129,129,127,128,126,121,121,124,121,118,115,115,116,119,120,119,119,120,120,122,124,123,119,114,108,110,118,125,129,132,129,126,128,129,126,126,129,131,132,135,137,137,136,134,136,139,141,139,136,132,127,121,117,114,115,119,121,120,117,114,111,107,106,109,111,111,112,113,113,107,103,109,116,116,115,118,122,118,108,98,98,104,108,106,103,103,106,105,103,103,102,99,93,89,89,89,88,88,88,88,88,88,87,87,88,88,87,87,87,87,87,88,89,89,89,90,91,91,91,90,89,90,91,91,91,90,90,89,88,88,89,89,87,86,87,88,88,88,89,91,94,96,100,103,105,108,109,110,109,107,105,102,99,96,95,100,102,101,99,100,100,101,103,105,107,108,106,105,102,99,99,103,107,106,103,99,97,96,96,95,96,98,101,101,100,101,105,106,104,103,104,106,108,109,110,111,111,111,111,111,112,110,108,107,106,108,109,107,106,107,107,106,105,106,105,104,101,98,97,98,100,100,100,101,102,102,101,101,101,100,99,99,98,97,98,99,99,100,101,99,97,98,99,98,97,96,94,94,93,92,92,93,93,93,90,88,88,87,87,88,88,87,87,87,87,87,87,88,88,88,87,87,87,87,88,88,87,87,87,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,88,88,88,87,87,88,88,88,88,88,88,88,89,91,91,89,87,86,86,86,85,84,85,88,93,97,98,99,101,101,100,100,102,103,99,95,95,97,99,100,100,100,99,101,105,108,108,109,107,102,98,98,99,99,97,96,96,97,97,96,97,98,95,93,93,94,94,93,92,91,91,90,88,86,86,93,100,106,110,109,106,105,107,110,110,107,101,97,97,99,97,92,88,89,94,98,96,92,92,94,96,87,87,88,88,87,87,88,88,87,87,87,87,88,89,91,91,92,97,102,101,100,105,109,110,109,108,108,107,105,104,104,103,103,105,108,109,107,106,105,105,107,109,108,106,105,105,106,105,104,102,100,99,100,103,105,108,110,112,111,109,108,107,106,104,103,104,106,108,109,null],[100,99,99,105,111,111,107,102,99,100,104,106,107,110,110,108,108,108,107,107,107,109,108,108,110,114,119,121,121,121,122,124,128,131,132,133,133,132,130,131,133,134,130,127,128,130,131,131,132,132,131,127,121,123,127,125,122,120,120,121,122,120,119,119,121,123,127,129,126,121,117,114,113,116,119,123,128,128,124,124,125,124,127,133,136,136,136,137,138,139,139,140,142,143,140,137,132,129,122,115,111,114,118,119,116,112,110,108,108,107,105,107,110,113,112,107,103,103,108,112,113,112,113,116,114,106,98,96,101,104,103,101,103,105,104,100,99,96,92,89,88,87,87,88,88,88,88,88,88,87,87,88,88,87,87,87,87,88,88,88,88,88,88,89,90,91,92,91,90,90,91,89,88,88,89,91,93,93,91,90,89,89,88,89,89,90,93,97,100,101,103,105,106,107,108,109,108,107,105,101,98,98,97,96,97,99,103,103,102,100,99,100,103,107,108,102,96,95,99,104,109,111,111,107,103,102,102,102,102,103,103,102,102,102,100,97,96,97,100,102,104,104,104,105,105,107,110,110,109,108,108,109,110,110,108,106,107,108,109,109,108,106,106,105,103,102,102,103,103,102,103,103,103,103,103,103,102,101,99,99,99,100,101,100,100,100,98,96,96,97,98,97,95,94,94,93,92,91,91,90,88,88,88,87,88,88,87,87,88,87,87,87,87,87,88,88,88,87,87,87,87,88,88,87,87,87,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,87,88,88,88,88,88,88,87,88,89,90,91,92,91,90,89,87,85,84,84,87,90,92,94,97,100,103,104,105,105,104,102,100,98,98,100,102,104,103,101,102,104,105,106,106,105,103,103,103,102,100,98,98,99,101,103,104,101,97,94,94,95,97,97,95,92,90,91,93,94,93,95,100,108,111,109,106,104,106,108,111,112,108,101,96,95,93,89,87,90,96,99,96,92,91,88,88,87,87,88,88,87,87,88,88,87,87,87,87,88,91,93,95,93,96,102,104,103,106,107,106,107,108,110,107,104,104,104,104,105,107,107,107,108,105,102,102,105,107,104,101,101,103,103,101,99,98,98,99,101,102,103,104,105,105,105,106,106,106,107,105,106,108,110,111,111,null],[98,97,98,104,108,110,110,108,106,105,105,106,108,112,111,109,110,110,108,107,108,109,110,110,113,118,124,125,124,123,122,123,129,135,133,132,135,131,128,128,131,132,130,126,125,126,130,134,138,137,133,129,125,127,129,126,123,123,127,129,126,122,119,121,123,125,128,130,125,120,118,120,122,121,122,125,128,127,124,122,124,127,132,137,138,136,135,136,138,139,140,142,143,142,139,135,133,132,129,122,117,118,120,118,113,110,109,109,111,110,105,104,106,108,107,102,102,107,109,111,114,114,112,110,107,101,98,97,97,97,98,100,104,104,100,95,93,90,88,87,88,88,88,88,87,87,87,87,87,88,88,87,87,88,88,88,88,88,87,88,88,88,88,88,90,91,92,92,91,90,90,89,88,87,89,91,94,95,94,93,93,92,90,89,88,88,91,94,97,99,100,101,101,101,102,105,105,106,105,101,99,99,97,95,95,98,101,101,99,97,96,96,99,104,108,105,100,96,95,97,102,108,111,110,109,108,109,110,109,107,106,106,105,103,100,97,95,95,96,97,98,99,100,101,102,103,105,106,106,106,107,108,107,107,106,105,106,107,109,108,107,106,107,108,107,105,104,103,104,103,102,102,103,103,104,104,103,100,97,96,97,98,100,100,99,96,94,93,93,94,95,94,94,95,94,93,93,92,90,89,88,87,87,87,88,88,87,87,88,88,88,88,88,88,87,87,87,88,88,88,88,87,87,87,88,88,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,88,88,89,91,93,93,91,89,89,88,86,84,84,86,86,87,91,96,101,104,104,102,103,104,104,103,101,102,105,106,103,100,100,101,101,100,99,101,102,101,102,102,100,97,96,97,99,101,102,101,100,98,95,94,96,97,97,94,91,90,92,93,94,96,101,107,110,110,108,106,105,107,112,115,111,102,95,91,89,89,89,91,97,100,96,92,92,88,88,88,88,87,88,87,87,88,88,87,87,86,87,89,91,94,98,95,97,103,107,106,106,105,105,107,108,108,105,102,103,103,103,105,106,104,103,103,101,100,100,103,105,102,99,99,102,104,102,100,100,100,101,102,102,103,104,103,102,104,105,105,105,107,107,108,110,110,110,110,null],[98,95,98,101,103,105,108,110,110,108,107,107,110,112,113,113,113,112,110,110,110,109,107,108,112,118,122,122,121,122,120,120,126,132,131,131,132,129,127,129,132,132,129,124,122,123,128,137,143,140,134,130,132,132,129,125,121,122,129,134,130,124,121,124,127,124,126,128,124,119,116,120,125,128,131,131,128,125,125,126,129,132,135,136,135,133,133,136,138,137,137,139,139,137,135,133,133,136,136,131,127,124,122,118,114,112,113,114,112,109,105,103,102,102,102,102,104,108,109,112,117,119,115,108,103,101,99,97,94,92,94,98,102,102,97,90,88,88,87,87,88,89,88,87,87,87,87,87,87,88,88,87,87,87,88,88,88,87,87,88,88,88,88,89,90,90,90,91,91,90,90,90,91,90,90,91,92,93,94,96,97,96,93,89,87,87,88,90,92,94,96,96,95,95,97,101,104,106,104,100,98,98,99,98,96,93,94,95,95,95,96,97,98,100,105,108,107,103,98,95,95,97,100,104,106,108,110,112,111,109,108,110,111,111,108,104,102,100,98,96,97,98,100,101,102,104,103,103,102,102,103,103,103,103,104,105,105,106,107,106,105,106,108,108,107,105,105,105,105,105,104,103,103,103,104,104,103,98,94,91,91,94,97,98,96,92,91,92,93,93,93,92,93,94,94,93,93,92,91,89,88,87,87,87,88,88,87,87,87,88,88,88,88,88,87,87,87,87,88,88,88,87,87,87,88,88,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,88,87,87,89,89,89,89,88,87,86,87,87,87,87,87,86,85,84,87,91,96,99,99,98,98,101,104,105,104,104,104,104,101,100,102,103,101,97,96,96,97,97,98,100,100,97,95,94,94,94,96,100,104,103,97,94,95,97,97,96,93,91,89,87,89,94,100,104,106,108,109,107,105,106,110,111,107,100,96,91,87,89,93,94,98,100,96,92,88,88,87,88,88,87,88,87,87,88,88,87,87,86,87,89,91,95,99,97,97,103,107,107,105,105,106,107,106,103,101,101,101,101,101,102,102,101,99,99,100,101,102,103,104,103,102,102,105,107,107,107,107,105,103,103,105,107,108,109,109,109,109,107,106,107,109,110,110,108,107,108,null],[99,99,100,102,103,105,107,109,110,110,109,109,110,111,112,113,112,111,111,113,113,111,108,107,109,113,116,117,116,116,116,116,118,123,126,126,125,127,132,135,136,131,125,122,124,126,131,136,140,139,134,132,135,132,127,125,123,122,125,130,134,130,125,124,127,128,129,129,128,122,117,117,124,131,133,130,125,126,132,134,133,134,133,130,129,128,130,135,138,135,132,133,133,133,131,132,135,140,141,139,135,130,123,117,115,117,117,114,111,107,104,102,104,103,102,104,108,109,108,111,119,122,116,108,105,107,104,98,93,93,95,96,98,98,93,88,88,87,87,87,87,88,88,88,87,88,88,88,88,87,88,87,87,88,88,87,87,88,88,88,88,88,89,90,89,88,87,88,89,90,91,91,92,92,91,91,92,92,92,94,96,97,96,92,90,89,89,89,89,91,92,93,94,96,98,100,102,104,104,101,98,97,97,98,98,97,97,96,95,95,93,93,96,100,103,106,107,109,107,103,99,97,95,95,97,100,105,109,110,110,111,110,110,111,111,110,107,104,102,101,101,102,102,103,104,105,104,103,102,101,101,100,100,102,105,105,103,102,103,105,106,106,106,105,103,104,105,107,108,107,106,104,105,103,101,99,97,94,91,88,88,90,93,95,94,92,92,93,94,94,93,91,92,93,94,94,93,92,89,87,87,87,88,88,87,87,88,88,87,87,88,87,87,87,88,88,88,88,87,87,87,88,88,88,87,87,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,87,87,88,88,88,88,88,86,87,86,85,85,87,88,86,86,85,85,87,90,92,94,97,98,98,96,97,100,101,101,103,103,104,106,107,103,101,102,102,101,98,98,98,98,99,99,97,94,93,96,101,105,105,101,99,98,97,98,98,96,93,91,90,91,94,97,101,102,102,103,104,104,102,101,101,101,100,97,92,89,91,96,98,99,98,92,89,87,87,87,88,88,87,88,87,87,88,88,87,87,87,88,90,91,95,98,97,97,103,107,108,107,106,104,102,101,100,100,100,100,100,101,102,102,100,100,102,104,105,106,106,105,106,106,106,107,109,110,110,110,108,107,108,109,110,110,111,112,111,110,109,108,109,109,109,109,108,107,107,null],[101,102,102,104,107,108,107,107,109,110,110,110,110,110,110,110,109,107,108,111,113,112,111,110,110,110,111,111,110,110,111,113,113,115,120,121,121,128,136,140,136,128,122,120,124,129,132,134,135,136,134,134,135,134,130,128,126,124,122,126,135,134,126,122,126,132,133,132,135,131,121,116,120,128,130,127,125,128,136,137,133,131,128,127,127,127,130,134,136,133,130,130,130,131,132,135,138,140,141,142,139,132,124,120,119,120,119,113,109,106,103,105,109,108,106,108,110,110,107,110,118,121,118,113,112,113,107,100,97,97,96,94,93,94,91,88,88,87,87,87,87,88,88,88,88,88,88,88,88,87,88,87,87,88,88,87,87,88,88,88,88,88,89,90,88,87,86,87,89,90,90,91,91,91,91,91,92,90,89,90,92,95,96,94,92,92,92,93,93,92,90,90,93,97,99,99,99,101,103,103,100,97,96,95,95,96,99,100,97,96,93,92,96,99,100,100,104,107,109,108,107,104,100,95,93,95,98,100,103,106,110,110,109,109,111,111,110,108,106,106,105,105,105,106,106,106,106,105,104,102,101,100,101,103,106,106,103,102,103,105,106,105,104,102,102,103,106,108,110,109,107,105,104,102,97,94,92,91,90,89,89,90,91,92,93,93,94,94,94,93,93,92,91,92,94,95,94,93,89,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,88,88,87,87,87,88,88,88,87,87,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,87,87,88,88,88,88,88,87,88,87,85,83,85,87,86,86,86,84,84,86,88,91,94,97,94,92,92,96,97,97,100,103,105,106,104,102,103,105,106,104,102,102,101,100,101,102,102,100,99,100,101,101,101,102,103,102,99,98,98,96,94,95,97,98,95,95,98,97,95,95,100,103,101,96,93,97,100,97,92,90,93,99,102,99,95,90,88,87,87,87,88,88,87,87,88,87,88,88,87,87,88,89,91,92,95,97,96,96,100,103,105,106,104,102,98,98,100,102,102,101,101,101,103,103,102,103,107,108,108,107,107,106,107,107,107,108,109,110,110,110,108,108,110,110,110,109,110,110,110,110,109,110,110,109,108,109,109,108,108,null],[103,102,102,105,108,108,108,107,108,108,108,108,110,112,110,106,105,103,102,104,108,113,115,116,114,112,111,109,106,106,109,112,113,114,117,119,122,128,134,136,131,125,122,121,121,124,128,131,131,130,132,134,136,137,137,134,131,127,125,129,135,133,126,122,125,132,134,137,143,139,127,120,120,124,127,127,127,130,134,133,129,126,128,131,133,132,130,130,131,132,132,133,132,133,136,139,140,138,138,140,138,132,126,122,121,120,117,112,109,108,108,111,113,111,108,111,112,110,108,109,113,119,122,120,116,113,107,103,102,101,97,93,90,89,88,88,88,88,88,88,88,87,87,88,87,87,87,87,87,87,87,88,88,87,87,88,88,87,87,87,87,88,88,88,87,87,88,89,88,88,88,88,89,89,89,89,90,89,88,88,90,93,93,91,90,92,95,98,98,96,93,91,92,95,94,94,95,97,99,102,102,100,95,91,90,91,96,101,102,99,97,96,95,95,95,96,99,101,103,104,106,110,110,105,99,98,97,96,95,98,104,108,109,110,111,111,111,110,108,106,105,106,106,106,106,105,105,104,104,103,103,103,102,101,103,104,104,104,105,105,104,102,103,102,103,104,105,107,107,106,105,103,101,97,93,91,91,91,92,93,93,93,92,91,92,92,91,90,90,91,92,93,92,93,94,96,92,89,88,87,87,87,88,88,87,87,88,88,87,87,88,88,88,88,87,87,87,87,88,88,88,87,87,87,88,88,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,88,88,88,87,87,87,87,88,87,86,86,84,85,85,85,84,83,84,85,87,87,88,89,90,91,92,95,96,94,93,95,98,100,98,96,97,98,99,100,101,104,105,104,102,100,100,102,105,106,104,99,95,94,98,103,104,102,99,98,96,96,97,101,101,97,95,96,93,92,93,98,103,104,100,94,95,96,93,88,88,95,101,101,97,94,89,88,87,87,87,88,88,87,87,87,88,88,88,87,88,89,90,92,92,94,96,95,94,94,96,98,100,101,100,99,99,102,105,106,104,101,100,101,103,104,105,106,108,108,107,106,105,105,105,106,108,109,110,109,108,107,107,108,108,108,108,108,107,108,109,110,110,110,110,110,110,109,108,108,null],[105,103,104,106,108,107,106,106,108,108,107,107,109,112,110,106,103,100,97,96,103,113,120,119,117,116,117,115,112,111,112,113,114,114,116,118,120,122,124,125,124,122,124,125,124,121,121,124,127,126,126,130,133,136,138,138,134,131,130,132,133,130,126,124,125,128,130,133,137,136,130,122,120,123,126,126,127,127,126,126,127,128,132,139,142,140,136,132,131,135,137,138,137,136,137,137,135,136,140,142,140,133,127,123,120,120,118,112,109,108,111,113,115,113,110,109,111,112,111,107,106,113,121,122,117,111,105,104,105,102,95,92,90,88,87,88,88,88,88,88,88,87,87,88,88,87,87,87,88,87,87,88,88,87,87,88,88,87,87,87,87,88,88,87,87,89,90,90,89,89,88,87,87,87,87,88,88,88,88,88,87,89,89,88,87,89,91,94,96,96,94,93,94,96,93,91,91,93,95,98,100,100,97,94,91,92,95,99,101,101,100,99,98,96,94,93,94,95,98,101,104,108,111,109,105,103,102,100,97,95,97,99,102,107,110,112,112,111,108,106,106,107,106,105,104,104,103,103,104,104,105,105,103,101,100,100,100,100,101,102,102,103,103,104,104,103,102,103,104,105,104,101,98,94,91,91,93,93,93,94,94,93,92,91,92,92,91,90,90,91,92,93,94,93,94,96,92,88,87,87,87,87,88,88,87,87,88,88,87,87,88,88,88,88,87,87,87,87,88,88,88,88,87,87,88,88,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,88,88,87,87,87,87,88,88,87,86,86,86,86,86,86,84,83,83,85,88,89,88,87,85,86,90,93,94,94,94,97,99,99,97,96,97,96,94,94,96,98,98,96,95,93,94,99,105,106,103,97,93,93,97,104,107,106,105,105,103,103,103,103,101,95,91,90,88,90,95,102,107,108,105,99,95,91,87,86,90,98,101,95,93,95,88,87,87,87,87,88,88,87,87,87,88,87,87,88,88,90,91,93,93,95,97,95,92,91,93,97,100,101,102,102,102,101,102,103,100,99,100,103,106,107,106,105,107,107,105,105,106,105,105,106,108,110,109,107,106,107,108,108,109,109,109,108,107,108,109,109,109,109,110,111,110,109,108,109,null],[106,106,107,107,106,105,105,106,108,108,107,107,108,109,109,107,104,99,97,95,103,117,123,120,117,119,123,124,121,120,119,117,115,114,115,116,116,116,116,117,121,125,128,131,130,125,121,120,122,124,122,124,128,131,133,136,136,134,136,134,130,127,128,128,127,125,125,127,129,130,130,124,123,126,125,121,122,122,122,125,130,134,139,145,148,147,143,137,136,140,143,142,143,141,136,130,129,136,143,145,142,135,127,121,119,121,118,112,108,109,111,113,112,112,110,105,107,112,112,107,102,104,112,116,114,107,103,103,104,99,91,89,88,90,89,89,88,87,87,87,87,88,88,87,88,88,88,88,88,87,87,88,88,88,87,87,88,88,87,86,86,87,87,87,88,89,89,89,89,89,89,88,87,87,89,90,91,90,90,89,88,88,87,87,87,87,86,87,89,92,93,94,97,98,96,92,89,89,92,94,95,98,100,99,98,97,98,98,98,102,106,107,104,99,97,95,93,93,96,100,100,102,105,106,106,105,107,107,103,97,92,90,93,99,106,109,110,110,108,107,107,107,106,104,103,102,101,102,104,104,104,104,103,101,99,97,94,93,93,95,98,102,103,103,102,99,97,97,100,102,101,98,95,92,92,93,95,94,93,92,92,91,91,92,93,92,91,91,91,91,92,93,94,93,94,96,90,87,87,88,88,88,87,87,88,88,87,87,88,87,87,87,87,87,88,88,88,88,87,87,88,88,87,87,88,88,87,87,87,87,88,88,89,89,89,89,89,89,89,89,89,88,88,88,88,88,88,88,88,87,87,87,88,88,87,88,88,88,88,88,87,87,87,88,88,88,87,86,85,84,85,87,88,88,86,85,84,85,87,89,92,95,98,100,99,98,100,100,98,95,94,94,92,91,90,88,88,89,93,97,100,98,95,94,94,96,102,107,108,109,111,112,111,110,107,101,95,90,88,88,92,99,106,109,108,106,103,95,87,84,87,94,100,98,90,90,87,87,88,88,88,88,87,87,88,88,88,88,87,87,88,89,91,93,94,94,95,97,95,92,91,94,98,100,101,102,102,100,97,95,96,95,98,102,107,110,110,107,105,106,107,105,106,107,107,106,106,108,110,109,107,107,109,110,110,110,110,110,110,109,109,109,108,108,109,110,111,110,108,107,108,null],[108,108,107,107,106,105,108,109,107,106,107,108,107,106,104,104,105,104,103,102,109,121,125,120,117,119,124,127,126,125,125,123,118,114,113,113,114,116,117,119,123,129,133,135,136,133,129,122,120,122,122,123,125,127,130,133,135,137,138,134,127,128,133,131,128,128,127,128,130,133,134,128,123,124,119,112,113,118,126,132,136,140,143,146,148,147,145,143,143,145,147,145,147,144,136,130,131,138,143,140,137,133,128,123,121,121,117,111,108,110,112,111,108,108,106,102,101,107,111,109,101,97,100,107,109,104,100,100,102,98,89,88,87,87,87,88,88,87,87,87,88,87,87,88,88,88,88,88,88,87,87,88,88,89,88,87,88,88,87,86,85,86,87,87,87,87,88,88,88,88,88,87,87,88,91,95,95,94,92,91,93,93,92,90,89,89,88,87,86,88,91,93,95,98,98,94,89,87,89,91,94,96,97,98,100,101,100,99,99,101,103,105,105,103,100,95,92,92,93,94,94,96,99,102,104,104,106,107,104,100,95,90,87,90,96,101,105,107,107,106,107,106,105,102,101,101,102,102,102,102,102,102,101,100,98,96,95,94,91,89,91,96,99,100,97,94,92,92,95,97,96,94,93,92,93,94,93,92,91,91,92,91,92,94,95,94,92,91,89,90,92,92,92,92,89,88,87,87,88,88,88,87,88,88,87,87,88,88,87,87,87,87,87,87,88,88,88,88,87,87,88,88,87,87,88,88,88,88,88,88,88,88,89,90,91,92,91,89,90,91,90,90,90,89,89,92,90,89,89,88,88,88,88,88,87,87,88,88,88,87,87,87,87,88,88,88,88,86,85,86,85,84,84,85,86,86,86,86,86,86,86,89,92,93,92,93,97,100,102,102,100,98,98,98,98,94,91,88,86,88,94,97,96,91,89,92,96,100,103,105,108,111,113,112,110,107,103,100,98,97,98,101,105,108,108,106,103,95,87,86,90,95,97,94,89,87,86,87,88,88,88,87,87,87,88,88,88,87,87,88,89,90,92,95,97,95,94,94,93,92,89,91,96,98,97,96,95,94,93,93,96,99,102,103,107,111,111,108,106,107,109,109,108,108,107,106,105,107,110,110,109,109,110,110,110,109,109,109,109,109,110,109,108,108,108,110,112,110,107,104,105,null],[107,107,107,106,107,108,109,107,103,102,106,107,106,104,103,103,107,109,110,112,116,122,123,119,117,119,121,123,126,129,131,127,120,114,110,111,114,117,119,122,127,132,136,135,133,135,134,127,123,123,124,125,125,127,130,131,135,138,139,134,126,129,137,134,131,131,129,128,133,138,138,128,120,119,117,114,116,122,131,136,138,137,139,141,142,142,141,141,143,145,147,147,149,146,138,133,135,137,138,135,134,133,130,126,123,119,115,112,111,112,112,109,105,103,103,102,101,102,107,109,104,98,97,102,105,103,98,97,98,96,88,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,89,89,88,88,87,87,86,87,87,87,87,87,87,87,88,88,87,87,87,87,88,92,97,99,98,95,95,97,99,98,95,93,93,93,92,89,89,90,90,91,93,95,94,92,90,91,92,93,94,94,95,97,99,100,101,101,100,101,104,105,104,102,101,98,94,95,97,96,94,93,95,97,100,103,105,104,103,101,96,91,90,92,96,101,104,104,103,104,104,103,101,99,100,101,101,100,101,102,102,100,98,98,99,98,97,93,89,89,91,94,95,92,90,91,92,92,92,92,93,93,94,93,93,92,91,91,92,93,94,95,98,98,94,91,91,93,96,96,93,91,91,89,87,87,87,88,88,87,87,88,88,87,87,88,88,87,88,88,88,88,88,87,87,87,87,88,88,88,87,87,87,88,89,90,90,90,90,89,89,89,90,92,92,91,89,91,91,90,90,90,90,90,92,90,90,90,90,90,90,89,88,88,87,87,87,87,88,88,88,88,87,87,88,88,87,87,86,85,83,82,83,85,86,87,87,86,85,84,84,87,88,88,89,91,94,97,99,100,101,104,106,107,103,96,87,85,88,90,94,95,92,89,89,91,94,97,98,100,104,108,109,110,110,109,108,107,105,104,102,104,107,107,103,98,92,89,89,92,95,94,92,88,87,87,87,88,88,87,87,88,88,87,87,87,87,88,89,90,91,92,94,97,96,94,92,92,91,89,92,97,99,97,94,94,94,96,97,100,106,108,106,107,110,110,108,106,107,109,111,110,108,106,105,105,107,109,110,110,111,110,110,109,108,108,107,108,108,108,108,108,108,110,110,110,109,106,104,105,null],[103,105,108,108,108,109,106,101,97,99,104,106,105,104,105,107,110,113,115,118,119,120,120,120,121,121,120,120,126,133,137,132,123,115,110,110,113,114,116,120,126,131,134,131,125,126,130,132,129,126,124,124,126,130,132,132,134,138,140,136,129,131,137,136,134,134,128,126,130,138,138,127,117,115,121,127,129,128,129,133,134,129,127,131,136,137,136,136,139,142,144,145,147,146,139,135,135,134,133,134,136,137,135,131,126,120,117,116,114,113,111,108,103,102,104,105,103,100,101,106,106,104,102,102,103,101,98,94,89,88,88,88,87,87,87,88,88,87,88,88,88,87,88,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,86,88,89,89,88,87,87,87,88,89,89,88,88,87,86,86,89,94,98,98,97,96,98,101,101,99,97,97,98,98,97,95,92,89,88,89,90,91,92,93,94,94,93,92,92,94,95,96,97,99,100,99,102,105,106,105,105,105,104,100,98,97,96,94,93,90,91,95,99,103,104,104,104,101,99,97,96,96,99,101,100,100,100,100,101,100,98,97,97,98,99,101,103,102,98,95,97,101,100,98,96,93,91,91,92,92,91,92,93,94,93,92,93,94,95,95,94,92,91,92,93,95,96,98,100,103,101,94,89,92,100,104,100,94,90,88,87,87,87,88,87,87,87,87,88,88,87,87,87,87,88,88,88,88,88,88,87,87,87,87,88,88,88,87,87,88,89,90,91,92,93,92,93,91,91,92,94,93,92,91,91,92,92,91,91,92,93,93,92,92,93,93,92,91,90,89,88,88,87,87,88,88,88,88,88,87,87,88,88,89,88,86,86,87,84,82,83,84,84,84,85,87,86,85,86,88,90,89,88,87,86,87,92,97,102,105,106,105,94,85,90,94,90,90,95,97,96,92,92,93,94,95,95,98,101,103,106,108,108,107,107,107,105,103,104,107,106,100,92,88,89,91,93,94,88,88,88,87,87,87,88,88,87,87,88,88,87,87,87,88,89,90,91,93,92,92,94,96,95,93,90,89,90,97,103,105,102,99,100,102,103,104,106,110,111,109,109,110,109,107,105,106,108,110,110,107,105,105,106,108,109,110,110,111,111,110,109,109,108,108,108,108,107,106,106,109,111,110,108,107,106,108,108,null],[101,105,109,109,109,109,104,100,98,100,104,105,104,103,104,108,114,117,116,116,117,118,120,123,126,127,125,121,124,133,141,139,130,118,111,107,107,111,114,118,123,128,129,124,120,121,126,130,133,130,127,124,126,128,130,132,134,136,139,139,137,136,136,135,135,135,131,129,129,135,139,130,119,118,125,133,132,126,123,126,128,123,121,125,132,135,137,141,144,143,141,142,144,143,136,133,134,134,135,138,141,143,141,136,130,127,125,121,116,112,110,107,104,105,107,106,103,99,98,101,104,103,101,99,99,98,95,88,87,87,87,88,88,88,88,87,87,88,87,87,87,87,87,87,87,88,88,88,88,87,87,88,88,87,87,88,89,88,87,88,88,88,88,87,87,88,89,91,93,93,90,88,87,86,86,88,91,94,95,95,97,98,99,98,98,100,103,104,103,100,96,92,90,90,89,89,91,92,94,95,94,92,91,93,93,93,93,95,97,100,103,105,107,106,105,104,103,104,105,105,101,95,89,89,91,92,93,96,100,103,103,103,103,103,101,98,100,102,101,101,100,99,99,99,97,95,95,97,98,99,100,99,95,92,94,97,97,96,95,94,94,93,92,92,93,94,95,95,95,96,96,97,97,96,93,91,90,91,94,98,101,103,103,102,98,92,89,93,101,102,97,91,90,88,87,87,88,88,87,87,88,88,87,87,88,88,88,88,87,87,87,87,87,87,88,88,88,88,87,87,87,88,88,89,90,92,95,97,95,93,92,91,91,93,95,93,92,92,92,92,93,93,93,92,93,93,93,93,93,94,95,96,96,93,90,89,88,88,88,87,87,87,88,88,87,87,87,87,88,88,87,88,86,83,82,83,84,85,85,85,87,88,87,87,89,89,88,88,88,87,87,89,93,96,99,100,95,88,93,95,91,92,97,100,99,97,96,98,99,99,98,98,100,103,104,105,105,106,106,106,106,104,105,107,105,97,89,86,88,90,92,87,87,87,87,88,88,88,87,88,88,87,88,88,87,87,87,88,89,91,95,97,97,93,92,95,97,94,89,88,94,102,108,107,105,104,105,106,106,108,110,110,108,108,109,110,109,107,105,105,107,109,109,107,106,106,107,108,108,109,110,111,110,109,108,107,107,108,109,110,109,108,108,108,109,109,108,106,108,110,110,null],[102,105,108,109,108,105,102,101,103,105,104,103,104,105,107,111,118,119,116,115,117,119,122,125,128,130,130,126,125,131,138,142,135,122,113,108,108,111,113,114,119,123,124,122,121,121,122,127,131,134,130,127,126,126,128,131,133,133,135,138,141,139,136,136,137,137,137,134,128,132,138,133,124,122,126,129,126,121,118,121,123,120,120,124,131,136,139,147,149,142,135,135,136,136,132,131,134,137,139,143,145,146,144,139,134,135,133,126,117,111,109,108,106,108,108,104,101,100,99,99,100,100,98,96,95,96,94,87,86,87,87,88,88,88,87,88,88,87,87,88,88,87,87,87,87,88,88,87,87,87,87,88,88,87,87,88,89,89,89,88,87,87,88,88,87,89,90,92,95,96,92,89,88,87,86,86,87,88,91,93,94,95,96,95,96,100,104,106,105,102,98,95,94,93,92,91,90,90,92,92,92,92,92,93,94,94,92,92,94,98,102,104,106,106,104,99,97,101,107,110,108,101,95,94,95,92,90,91,94,96,97,98,100,101,100,100,102,103,102,102,101,100,100,101,99,96,97,97,96,96,96,96,94,92,92,93,95,94,93,93,94,95,94,93,93,94,94,95,97,99,98,97,98,96,94,93,92,93,95,101,104,104,102,100,96,92,91,93,95,94,91,90,90,88,87,88,88,88,87,87,88,88,87,87,88,87,88,88,87,87,88,88,87,87,88,88,88,88,87,87,88,88,89,90,91,92,95,94,94,93,92,92,93,95,95,94,93,93,94,94,94,95,95,94,93,93,94,94,94,95,97,98,98,95,93,91,90,89,88,87,87,87,88,88,87,87,88,87,88,88,87,88,87,84,82,83,85,87,85,84,87,89,88,87,88,88,90,93,95,92,87,85,87,89,90,92,93,94,94,95,97,98,100,102,102,102,103,105,106,105,103,102,103,105,105,106,106,106,106,107,107,106,106,105,101,93,87,87,89,89,91,87,86,87,88,88,88,87,88,88,87,87,88,88,87,87,87,88,90,92,94,98,102,97,92,96,97,93,88,90,98,104,106,106,106,106,105,104,105,108,110,107,105,106,109,110,110,108,106,106,107,108,107,107,107,107,107,107,107,108,110,110,109,108,107,107,107,109,111,111,111,110,108,107,107,108,109,108,109,110,109,null],[103,103,105,107,105,100,98,102,109,108,102,99,104,112,117,118,120,119,116,118,122,123,122,123,124,127,130,131,128,126,131,136,133,124,118,118,119,117,114,113,115,119,122,124,125,125,124,124,129,133,134,131,129,128,129,129,129,131,131,134,137,138,138,140,143,143,141,136,130,132,136,132,125,123,124,124,123,121,120,121,122,120,120,124,129,134,137,143,144,135,127,124,125,128,130,132,135,139,143,145,144,142,140,137,135,137,137,130,120,113,111,109,107,105,102,100,101,102,103,101,99,98,97,94,94,97,95,87,87,87,87,88,87,87,87,88,88,87,87,87,87,88,88,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,89,89,88,88,87,87,89,90,91,92,93,91,90,89,89,89,87,86,85,87,89,91,94,96,96,95,96,100,104,104,100,97,96,95,94,94,93,92,92,91,88,88,89,92,94,95,95,94,93,93,95,98,101,102,103,103,99,96,97,101,107,110,107,103,100,99,97,94,91,89,88,89,91,91,93,97,101,102,102,101,101,101,101,103,104,103,101,99,98,97,96,97,97,96,95,93,94,95,94,93,91,92,93,92,91,91,92,93,94,96,98,96,94,95,97,98,98,97,95,97,101,103,103,101,100,99,96,92,90,91,92,90,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,89,88,88,88,89,90,90,90,90,90,91,91,94,96,97,97,98,98,97,96,95,96,97,99,97,96,96,96,94,94,96,97,98,97,98,100,100,97,97,97,93,90,88,87,87,87,88,88,87,87,87,87,87,87,87,87,89,86,83,83,85,87,86,85,86,88,89,89,89,89,91,94,94,91,89,90,91,90,87,86,89,94,98,101,104,104,103,105,107,107,108,110,109,106,104,104,104,104,106,110,111,110,110,110,109,107,105,100,93,88,86,88,90,88,88,87,87,87,88,88,87,87,88,88,87,87,88,88,87,88,88,89,91,92,92,97,103,99,94,97,96,91,87,92,101,104,102,104,107,107,103,100,102,106,108,107,106,107,109,110,110,109,107,107,107,106,107,108,110,109,107,106,107,109,110,108,108,108,108,108,110,112,112,110,108,107,106,107,108,109,110,110,110,109,107,null],[99,98,100,103,103,101,100,103,111,110,103,102,108,116,120,120,120,119,117,122,126,124,122,122,122,124,127,130,131,130,130,132,132,128,123,125,126,120,114,114,116,119,123,127,129,130,128,126,126,131,134,135,133,132,132,129,128,129,132,135,138,138,139,143,147,147,143,136,133,133,134,134,131,128,125,122,121,122,125,128,129,126,123,123,125,128,130,133,132,127,120,117,118,122,127,129,133,139,145,146,142,136,133,135,137,139,136,129,122,116,114,112,107,101,99,100,102,104,106,105,101,99,97,93,92,93,92,87,87,88,88,87,87,87,87,87,87,87,87,87,87,88,88,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,89,89,90,89,88,88,88,89,90,90,89,89,89,90,92,92,90,87,85,86,87,88,92,95,97,95,94,98,102,102,99,97,97,96,95,95,97,97,95,91,88,87,88,90,93,94,95,95,94,92,91,93,96,98,100,102,101,98,96,97,100,104,105,104,103,101,100,98,95,92,90,92,93,92,92,94,98,100,100,100,101,102,103,103,103,102,101,100,99,99,99,99,99,97,95,94,94,94,93,92,92,92,93,94,93,92,92,92,93,95,96,95,94,94,96,98,100,100,98,98,100,99,98,97,99,99,96,92,90,89,91,89,87,88,88,88,87,87,87,88,88,87,87,88,87,87,87,88,87,87,87,88,88,87,87,88,89,89,88,88,89,90,92,93,94,94,94,95,96,99,101,101,102,104,102,100,98,97,97,100,102,99,96,96,96,95,94,96,99,101,100,98,99,99,100,99,99,95,92,89,88,87,87,88,88,88,87,87,87,87,87,88,88,90,88,86,85,85,85,85,87,86,87,89,90,89,90,91,93,92,90,91,93,94,93,90,88,89,92,96,99,103,102,102,105,107,108,112,113,109,105,104,107,108,106,107,110,112,112,112,111,109,106,100,93,89,87,88,89,90,87,88,87,87,87,88,88,87,87,88,87,87,87,87,87,88,88,89,90,92,93,95,99,102,99,95,96,95,91,87,91,98,102,102,105,108,108,104,100,99,102,105,106,106,108,109,110,110,109,107,107,107,106,106,108,110,108,105,105,107,109,109,108,108,109,108,108,109,111,110,107,105,105,105,107,109,110,110,110,111,110,107,null],[95,94,96,98,102,106,105,105,110,110,107,110,114,114,115,117,120,119,118,121,124,123,122,123,124,125,125,127,131,137,138,135,134,132,128,126,125,119,114,115,118,121,123,127,131,132,131,130,127,128,132,136,138,138,135,131,128,130,136,140,141,139,138,142,148,150,144,137,135,134,134,138,140,135,128,124,122,123,127,134,137,132,127,125,123,122,121,122,122,122,119,117,120,123,125,126,131,140,146,146,138,130,127,133,138,138,132,127,123,120,118,112,104,100,102,105,105,104,106,106,103,99,96,92,89,87,87,87,87,88,88,87,87,88,88,88,88,88,88,88,88,87,87,87,87,88,88,87,87,87,87,88,88,87,87,88,88,87,87,87,87,88,90,90,89,88,88,89,88,87,87,89,91,93,94,92,88,86,86,87,87,88,92,95,95,95,98,102,102,100,98,99,98,96,96,99,99,97,93,92,92,89,89,90,92,94,95,94,92,90,89,91,95,99,102,103,101,98,96,95,96,99,101,102,101,99,98,99,99,99,101,103,102,98,96,97,97,97,98,100,102,102,101,100,100,100,100,101,101,102,101,98,95,93,93,92,92,92,93,94,95,95,96,97,97,95,93,95,97,97,97,96,95,96,98,99,98,97,99,99,96,94,94,96,96,94,91,91,88,86,87,87,88,88,87,87,88,88,87,87,88,87,88,88,88,87,88,88,88,87,87,87,87,88,88,89,90,91,90,88,89,92,97,99,100,101,103,106,105,103,102,104,106,105,103,100,98,98,100,101,99,96,94,96,95,95,97,101,102,101,99,98,99,101,102,100,97,95,92,89,88,88,87,87,87,88,88,88,87,87,88,88,87,87,88,88,87,84,84,86,86,85,87,89,89,90,91,90,89,89,90,91,92,93,93,95,95,94,93,93,93,95,98,100,102,104,109,111,108,103,103,109,111,109,107,107,109,111,110,108,105,100,94,89,88,90,87,87,87,87,88,88,88,89,87,87,88,88,87,87,88,88,87,87,88,89,90,92,94,94,99,102,100,97,95,94,94,92,89,88,94,100,105,106,107,109,107,103,100,100,103,105,107,109,110,110,110,109,107,107,107,106,107,108,109,107,104,105,107,109,109,108,109,109,107,105,106,108,108,105,105,106,107,109,110,109,109,110,112,111,108,null],[96,94,94,96,101,107,108,107,110,110,110,115,117,113,112,116,120,120,118,118,120,121,122,124,126,127,128,128,130,137,142,142,140,137,133,127,122,117,114,116,120,122,121,125,130,132,131,132,130,127,129,136,143,142,136,130,128,130,133,136,137,138,138,140,147,152,149,140,135,133,137,143,142,134,128,126,127,128,130,133,135,132,130,130,128,122,116,115,119,124,126,125,127,130,133,132,134,139,144,142,134,127,128,134,137,132,126,126,128,125,119,110,104,103,106,108,106,104,102,102,100,96,89,88,88,88,87,87,87,88,87,87,88,88,88,88,88,88,88,88,88,87,87,87,87,88,88,87,87,87,87,88,88,87,87,88,88,87,87,87,87,88,88,87,87,88,89,90,88,87,88,89,91,93,96,96,93,88,86,87,88,89,90,92,93,96,100,104,104,102,100,100,99,97,96,97,98,98,95,95,94,93,91,89,90,92,93,93,93,93,92,91,93,97,100,102,102,98,96,96,97,98,99,101,101,100,100,101,100,101,104,106,106,102,99,98,96,95,96,98,100,101,100,100,101,101,100,102,104,104,101,95,92,91,91,91,91,91,92,94,97,98,97,97,99,97,95,97,99,98,97,96,96,97,99,100,98,95,97,99,96,93,94,94,93,90,88,87,87,87,87,87,88,88,87,87,88,88,87,87,87,87,88,88,88,87,87,88,88,87,87,87,88,88,89,90,92,90,88,89,93,97,101,101,100,100,103,107,106,101,100,103,107,106,103,100,100,101,102,100,95,93,93,95,95,95,99,102,103,101,99,100,102,103,102,100,97,94,94,91,90,89,88,87,87,88,88,88,87,87,88,88,87,87,87,87,87,86,84,84,84,85,87,87,88,89,89,87,87,88,88,89,90,91,93,97,100,100,100,96,92,92,95,94,92,93,98,102,102,100,100,104,106,106,106,106,106,108,108,104,97,92,90,88,88,87,87,87,87,87,87,88,88,88,87,87,88,88,87,87,88,88,87,87,88,90,92,95,94,94,97,100,100,98,95,92,93,93,91,90,92,99,104,104,104,106,107,106,104,103,104,106,108,109,109,109,111,111,108,107,107,107,108,109,111,109,106,107,109,110,109,107,107,106,103,102,104,107,109,107,107,107,109,111,111,109,108,110,112,110,107,null],[101,97,95,98,103,108,109,109,111,112,112,115,116,113,113,117,120,120,117,118,120,122,123,124,125,128,131,131,130,135,141,144,140,135,132,127,120,116,116,118,122,123,120,122,128,132,133,136,133,129,127,133,141,141,135,130,128,131,134,136,137,137,137,138,144,151,151,144,137,136,141,144,140,130,128,131,134,133,131,129,128,128,131,136,137,129,118,114,118,123,127,129,133,136,139,137,135,139,140,136,129,126,131,136,134,128,125,128,130,126,117,108,103,105,108,108,106,101,96,95,97,95,87,87,87,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,88,88,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,88,88,88,88,87,87,89,90,90,89,88,89,89,90,92,95,97,95,90,87,87,90,92,93,92,93,97,102,105,106,104,102,102,101,98,95,93,94,97,97,96,95,95,94,92,91,91,91,92,94,95,95,93,93,94,97,99,99,96,95,97,100,101,101,101,102,101,101,101,100,99,100,102,104,103,103,102,99,97,97,97,97,98,98,99,101,102,101,102,104,102,97,93,93,94,93,91,91,91,92,94,96,97,95,96,99,99,98,99,100,101,99,96,96,97,100,101,98,95,96,98,96,95,95,94,91,89,87,87,88,88,88,88,87,87,88,88,87,87,88,88,88,88,87,87,87,88,87,87,88,88,88,88,88,89,90,91,91,89,89,93,98,102,103,100,96,94,95,99,98,97,98,102,105,105,102,101,102,104,102,97,91,91,93,93,93,95,100,103,102,101,101,103,104,103,103,101,97,94,94,92,91,90,89,88,88,87,87,87,88,88,87,87,87,88,88,88,87,89,87,85,84,84,86,88,89,88,87,86,86,87,87,88,89,88,89,94,99,103,104,101,96,96,98,94,90,89,91,95,97,98,99,100,102,103,105,106,104,103,102,97,92,89,90,87,87,87,88,88,88,88,88,88,87,87,88,87,87,88,87,87,87,87,87,87,88,90,93,95,95,96,96,98,101,100,95,92,92,94,94,93,93,96,99,101,101,103,104,106,107,106,107,109,110,109,107,107,110,111,108,107,107,107,108,108,108,106,105,106,109,109,107,104,104,104,103,102,104,108,110,110,109,108,110,112,111,109,108,110,111,108,104,null],[105,101,98,102,107,110,110,111,113,115,114,114,115,117,118,118,119,118,118,121,124,124,123,123,124,127,130,132,133,136,138,138,133,127,126,124,120,117,117,121,125,125,123,122,128,132,137,139,135,130,127,129,133,135,134,131,129,132,140,145,143,139,136,137,143,149,151,148,143,140,141,143,139,131,132,137,138,135,131,129,128,128,132,140,144,139,128,119,117,117,119,124,130,135,136,133,131,136,136,129,123,126,132,133,130,127,128,130,129,122,114,108,106,108,110,108,104,97,91,90,88,87,86,87,87,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,88,88,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,88,88,88,88,87,87,88,88,89,89,88,89,89,90,90,91,94,95,93,90,89,92,95,96,95,96,98,102,104,105,105,105,104,103,100,95,91,91,95,98,97,94,93,94,96,95,93,91,91,92,94,94,94,93,93,93,94,94,94,93,94,97,101,103,103,102,102,102,103,102,98,94,94,98,102,104,104,103,101,100,98,96,95,95,96,97,99,100,101,100,96,93,95,101,102,98,94,91,91,92,93,94,94,94,96,98,100,100,100,102,104,101,97,96,97,99,101,100,99,98,97,94,94,96,91,88,87,87,88,88,88,88,88,87,87,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,89,89,89,89,90,90,88,89,93,97,102,105,102,97,92,89,88,89,91,93,98,102,104,103,101,100,102,103,99,93,90,92,93,90,90,96,101,103,101,101,103,103,103,103,104,103,100,96,93,93,95,96,95,91,88,87,87,87,88,88,87,87,88,88,88,88,88,87,87,89,86,84,86,89,92,90,87,86,86,87,87,88,88,87,87,90,93,97,101,101,100,101,103,102,98,94,94,95,96,98,101,102,103,104,105,105,102,98,93,90,90,87,86,86,87,87,88,88,88,88,88,89,87,88,88,87,87,88,87,87,87,87,87,88,89,95,99,97,99,101,100,100,101,100,97,93,93,94,95,96,95,93,94,97,100,101,103,105,106,106,107,110,111,107,104,105,107,108,107,105,105,106,106,104,100,98,100,104,107,106,104,103,104,106,107,107,106,107,109,110,109,108,109,111,111,110,109,110,108,105,103,null],[104,102,102,106,109,109,111,114,116,116,115,114,115,118,120,120,119,118,119,123,127,127,125,125,126,127,128,132,137,138,137,134,127,122,122,122,121,119,119,122,125,127,127,126,128,132,135,137,136,132,129,128,128,129,131,133,132,131,139,147,148,144,140,141,146,150,152,150,148,146,145,142,137,131,134,140,138,135,133,132,130,129,132,139,142,142,139,132,125,120,119,120,125,127,127,128,130,135,131,122,120,125,129,130,128,128,129,130,127,123,118,116,114,113,109,104,98,92,89,89,87,87,87,87,87,88,88,87,87,87,87,87,88,88,88,88,88,88,88,88,88,87,87,87,87,88,88,87,87,87,87,88,88,87,87,88,88,87,87,87,87,87,87,88,88,87,88,90,88,88,89,89,90,91,90,90,92,94,92,91,93,96,98,97,96,97,99,102,105,106,107,107,105,101,96,92,91,93,95,96,94,92,92,94,94,93,91,88,88,90,92,94,94,93,92,91,91,93,93,93,95,100,103,104,103,102,103,104,104,100,94,91,91,94,99,103,103,102,101,98,94,93,94,95,96,96,96,97,97,93,91,96,101,102,99,95,92,93,94,94,94,95,96,97,98,100,101,101,102,104,103,99,96,97,100,102,102,100,98,95,93,94,96,91,87,87,88,88,87,87,87,87,88,88,87,87,88,88,87,87,87,87,88,88,88,88,87,88,88,88,89,90,90,90,91,90,90,93,98,103,105,104,97,92,88,86,85,87,91,97,102,103,102,100,100,99,99,98,93,91,93,94,91,88,89,94,100,102,100,99,101,102,102,103,104,105,102,99,94,93,95,96,96,93,89,87,87,87,88,88,87,87,88,87,87,87,87,88,88,89,88,86,85,88,90,90,89,89,89,88,87,88,89,87,86,89,90,91,94,96,98,101,104,104,103,101,98,98,99,100,102,104,105,103,101,101,99,94,88,89,91,87,87,87,87,87,88,88,87,87,87,90,87,87,88,88,88,87,88,88,88,88,88,88,90,95,100,100,102,104,103,102,100,99,98,94,93,95,96,97,96,92,90,95,100,102,103,104,106,107,107,108,108,106,104,104,105,106,105,103,102,104,105,102,98,99,102,105,106,107,107,107,108,109,110,109,108,108,109,110,109,107,107,108,110,110,110,110,109,106,104,null],[101,104,107,109,109,108,111,115,116,115,115,115,117,118,120,121,121,120,121,123,126,129,129,128,129,129,128,133,139,139,136,134,129,124,123,123,121,120,119,120,123,127,129,129,129,129,129,131,132,133,131,130,133,133,133,137,136,133,136,141,144,146,145,145,147,151,153,151,148,146,145,141,135,132,136,140,137,134,135,136,135,132,131,133,134,139,145,144,138,131,124,119,119,120,120,124,129,130,125,120,120,123,124,126,127,128,129,129,128,125,124,124,124,117,106,97,91,89,89,87,87,87,87,87,87,88,88,87,87,87,87,88,88,88,88,88,88,88,88,88,88,87,87,87,87,88,88,87,87,87,88,88,87,87,87,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,89,91,92,90,89,89,91,92,92,94,96,97,97,96,95,97,100,103,106,108,108,106,103,98,95,95,94,93,94,95,92,90,89,90,91,90,88,86,86,90,93,95,94,93,91,92,97,98,95,95,98,103,104,103,103,104,105,106,105,101,96,91,91,95,99,101,101,101,98,94,93,94,96,95,95,94,95,95,93,93,95,97,97,96,95,95,96,95,94,95,96,98,99,99,100,101,101,102,103,102,101,99,98,100,104,104,99,95,93,93,89,87,87,87,88,88,87,87,87,87,87,88,88,87,87,88,88,87,87,87,87,88,88,88,87,88,88,88,89,89,90,90,90,91,92,93,97,101,105,105,100,92,86,86,87,88,92,97,102,104,103,101,99,99,97,93,90,89,94,99,96,90,88,87,92,96,99,98,97,98,100,103,103,104,105,105,102,98,94,93,95,97,95,91,89,88,88,87,87,88,88,87,87,88,88,87,87,88,88,88,88,85,85,87,89,91,91,90,89,87,88,90,90,90,91,90,89,90,91,92,95,98,99,100,101,99,98,101,101,101,104,104,98,95,94,93,91,88,88,87,87,87,87,87,87,88,87,87,87,87,87,87,87,88,88,87,87,88,88,88,89,89,90,90,94,100,103,104,104,105,102,98,98,98,95,94,96,97,97,96,91,90,95,100,103,103,104,106,107,106,105,105,105,104,104,106,106,104,102,101,103,105,104,103,105,109,109,107,109,111,111,111,111,110,110,109,109,109,110,109,107,107,107,108,110,111,109,109,107,105,null],[102,107,111,111,109,108,110,113,114,113,113,115,118,120,120,120,122,124,124,124,125,129,131,131,130,129,128,133,138,136,134,136,134,131,128,124,120,119,119,119,122,126,128,127,125,124,125,127,130,134,133,135,140,141,140,140,141,139,135,133,136,140,142,144,145,147,149,149,145,141,140,138,133,130,137,143,137,132,137,142,142,135,130,129,130,135,144,150,148,140,129,119,117,119,120,123,126,122,119,120,122,123,123,124,126,128,130,130,128,126,125,127,126,116,102,93,89,87,86,87,87,88,88,88,88,87,87,88,88,88,88,88,89,89,89,89,89,89,89,89,88,87,87,87,87,87,88,88,88,88,88,87,87,88,88,87,87,88,88,88,88,88,88,87,87,88,88,88,88,88,88,87,88,88,88,88,89,89,90,91,92,94,96,97,96,94,97,99,101,104,107,108,107,104,101,98,97,95,93,93,93,93,91,89,89,91,92,91,88,87,88,91,93,93,92,92,97,101,100,96,96,100,104,104,103,105,106,106,107,108,108,104,100,98,97,97,97,98,100,99,97,95,93,92,93,95,95,95,95,95,95,96,95,94,94,96,99,99,96,92,92,95,98,99,98,99,101,100,99,100,101,101,101,99,99,103,103,99,95,93,89,86,86,87,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,88,88,87,87,87,87,88,89,89,90,90,89,89,91,93,94,95,99,104,104,100,93,87,85,86,88,92,96,98,101,102,102,101,99,96,92,88,87,92,99,102,98,91,91,89,87,88,90,96,97,96,99,102,102,103,105,107,106,103,97,94,94,96,96,93,90,90,88,87,87,87,88,87,87,88,88,87,87,88,88,88,87,86,86,86,87,88,90,90,88,87,88,91,93,94,94,91,89,91,91,89,89,91,92,93,93,94,96,98,98,99,100,98,92,91,90,89,88,87,89,88,86,87,89,88,88,87,88,88,87,88,88,88,88,88,87,87,87,88,88,89,89,90,90,91,95,100,104,105,103,103,101,99,97,96,95,95,96,96,96,96,93,91,95,100,102,102,102,104,106,106,104,104,107,105,103,105,107,105,103,102,104,107,109,109,110,111,109,108,109,110,109,111,112,111,110,109,109,109,109,107,107,109,109,108,108,109,108,108,107,106,null],[107,111,113,112,110,110,110,110,111,110,110,113,116,118,119,120,122,126,127,126,125,127,129,131,131,132,133,136,137,134,132,133,135,134,129,123,118,118,120,120,121,123,124,124,123,124,125,125,126,129,132,137,143,147,146,143,142,142,137,133,134,137,139,139,139,140,145,147,144,141,138,135,132,132,138,142,138,133,136,144,147,139,132,130,132,136,139,145,147,143,134,125,121,120,121,122,121,118,118,120,122,123,124,125,124,125,127,130,128,124,122,122,119,108,97,92,90,87,86,87,87,88,88,88,88,87,87,88,89,89,90,90,90,90,91,91,91,91,90,90,89,88,87,87,87,87,88,88,88,88,88,87,87,88,88,87,87,88,88,88,88,88,88,87,87,88,88,88,88,88,88,87,87,87,88,88,88,89,89,90,90,91,93,95,95,94,97,99,99,101,104,105,105,104,103,101,99,98,97,94,92,92,92,91,93,94,95,94,92,90,88,88,90,91,91,96,103,106,103,98,98,102,105,104,103,103,104,105,106,107,108,107,105,103,101,98,96,96,97,99,98,95,91,92,95,98,98,96,95,96,97,98,97,96,95,97,100,97,92,90,92,96,99,98,98,100,101,99,98,100,101,101,100,98,96,99,100,97,94,92,89,86,87,87,88,88,87,87,88,88,88,87,87,88,88,88,87,87,88,88,88,88,87,87,87,88,89,90,90,90,90,89,89,91,93,94,96,101,102,98,92,88,87,87,88,91,95,98,98,98,98,99,100,98,93,88,86,88,94,101,104,102,98,95,91,88,86,87,94,97,97,99,101,102,102,104,106,107,106,102,96,93,93,95,95,92,92,90,88,87,87,88,87,88,88,88,87,87,88,88,88,88,86,86,88,87,87,88,88,87,87,88,90,92,93,93,91,90,91,91,89,88,89,89,88,88,91,93,94,95,95,94,92,89,89,89,89,89,88,88,86,87,88,89,88,88,88,88,88,87,88,88,88,88,87,87,87,88,88,89,91,91,92,92,93,99,103,103,103,102,101,100,99,96,94,95,96,96,96,96,97,93,91,95,100,101,100,101,103,106,106,103,103,106,105,103,106,108,106,105,106,108,110,111,111,111,110,108,108,109,108,107,109,110,110,109,109,109,109,108,107,107,109,110,108,106,105,106,106,105,105,null],[111,112,112,113,113,112,110,108,109,110,109,110,113,115,117,119,122,125,128,127,125,125,126,129,133,138,142,142,139,133,128,127,130,132,128,121,116,118,122,124,123,122,122,124,126,129,130,128,125,126,131,135,138,145,148,145,142,142,142,143,144,144,141,138,137,139,142,145,147,146,141,135,133,135,137,138,139,136,132,140,147,143,136,134,137,139,137,136,139,140,138,133,126,121,120,121,120,119,120,121,121,123,125,127,125,123,123,126,124,118,115,111,106,99,93,90,88,87,87,87,87,88,88,87,87,87,87,89,90,91,91,91,91,92,93,93,93,92,91,90,90,89,89,89,88,88,87,87,87,87,87,88,88,87,87,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,88,88,88,87,87,87,87,87,87,88,89,91,92,92,93,95,98,99,99,101,103,103,103,103,103,101,101,102,98,94,92,92,95,98,98,96,95,94,92,90,90,90,90,91,98,105,107,105,102,100,101,103,103,101,99,100,102,102,103,105,104,101,100,100,98,95,94,95,96,95,92,92,95,101,102,98,95,95,96,99,100,100,98,96,96,96,92,89,90,94,98,98,98,98,99,99,97,97,100,102,101,98,94,93,93,94,93,91,89,87,87,87,87,88,88,87,87,88,87,87,87,88,88,87,87,88,88,87,87,87,87,88,88,88,89,90,92,93,91,89,90,92,91,90,92,97,100,97,91,88,88,89,90,92,95,97,98,97,96,95,96,96,93,88,87,89,92,95,97,101,103,103,99,93,90,88,88,91,95,98,98,99,101,102,101,104,106,107,105,101,94,90,91,94,96,93,90,88,88,88,88,87,87,87,88,88,88,87,87,87,87,88,88,88,90,88,88,87,87,88,88,88,89,89,90,90,90,90,90,91,91,90,89,89,89,87,87,87,87,87,87,88,88,88,88,90,91,90,88,87,88,89,87,87,87,87,87,88,88,87,87,87,87,87,88,88,89,90,93,93,93,95,96,98,104,104,99,98,101,101,101,98,96,94,95,96,96,96,96,97,93,90,95,100,101,100,101,105,106,104,102,102,104,104,104,108,109,108,108,110,112,111,110,109,109,108,108,108,109,109,108,109,109,108,108,109,109,109,109,107,106,108,110,109,105,103,104,104,103,103,null],[110,109,111,113,114,112,107,105,109,112,111,111,112,114,116,118,119,122,125,124,122,123,125,128,133,141,147,145,137,129,123,123,126,127,124,119,116,118,123,127,128,126,124,125,129,135,136,132,130,130,130,130,133,140,146,146,143,144,147,151,151,151,150,144,142,145,145,143,146,148,146,140,138,139,138,137,141,137,129,133,142,146,139,134,140,142,135,131,133,138,140,136,126,119,121,123,123,122,121,121,121,124,129,132,131,127,126,126,121,111,103,99,97,95,90,88,88,87,87,87,87,88,88,87,87,87,88,90,92,91,92,93,94,93,94,95,96,96,95,95,94,91,91,91,91,89,88,87,86,87,87,88,88,87,87,88,88,87,87,87,87,87,87,87,88,87,87,87,87,87,87,88,88,88,87,87,87,87,87,87,87,88,88,88,89,91,94,96,97,98,99,100,102,103,104,103,101,103,104,101,96,94,95,97,99,97,95,94,95,95,94,93,92,90,90,94,98,100,101,101,100,98,97,99,100,99,100,100,98,98,102,102,99,97,96,96,95,94,94,94,93,93,95,99,102,100,95,93,95,98,100,101,100,97,95,94,93,91,91,93,96,98,97,98,99,97,94,93,95,99,99,98,96,93,91,92,93,91,88,88,87,87,87,87,88,88,88,87,87,87,87,87,88,88,87,87,88,88,87,87,87,87,88,89,90,91,91,92,92,91,91,92,91,89,91,95,98,95,90,89,90,91,93,95,96,97,97,96,96,95,94,93,92,88,86,89,94,98,98,96,98,100,103,102,99,94,93,91,91,92,98,99,99,101,100,100,102,105,107,108,105,98,92,90,93,96,97,93,88,87,89,88,87,87,88,88,88,88,87,87,87,87,88,88,88,88,87,89,88,88,89,89,89,89,89,90,90,91,91,91,91,90,87,87,86,86,86,86,86,85,86,88,88,90,90,91,92,91,89,88,88,87,87,87,87,88,87,87,88,88,87,87,87,87,88,88,89,89,90,94,94,95,100,103,104,104,101,94,92,96,99,100,98,95,93,93,95,96,96,96,96,91,90,95,101,102,104,105,105,105,104,104,104,105,106,107,108,109,109,109,110,112,112,110,109,108,108,108,108,108,108,108,109,109,106,106,107,109,109,108,106,106,108,110,109,107,105,104,103,103,104,null],[104,103,107,110,111,109,105,105,112,116,114,114,116,117,119,119,118,119,122,122,122,125,127,129,132,138,145,145,137,128,123,123,125,124,121,118,117,119,124,129,132,131,128,126,129,134,137,135,138,141,134,127,131,137,141,143,144,146,150,154,152,152,153,150,149,152,150,147,146,148,150,147,142,140,138,138,139,135,131,131,138,146,142,134,137,140,136,132,132,135,137,134,127,122,124,127,128,125,122,121,122,125,128,134,137,135,129,122,112,101,93,91,93,94,88,88,88,88,88,88,88,87,87,87,88,88,89,91,92,92,93,95,95,94,96,97,98,97,96,95,94,93,94,95,93,91,89,88,87,87,87,88,88,88,88,88,88,87,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,88,88,88,88,88,88,88,87,87,88,88,90,92,93,94,95,96,98,101,103,103,101,99,101,103,101,97,95,96,98,97,95,94,94,96,97,97,95,93,91,88,88,89,91,94,96,97,96,94,95,98,100,100,99,96,97,101,102,99,95,94,94,94,95,94,92,92,94,98,100,100,97,94,94,96,98,98,98,95,94,94,95,95,96,97,98,98,99,98,100,100,96,92,93,96,97,97,95,95,95,94,92,93,90,88,88,87,88,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,87,87,87,87,88,89,91,92,92,91,90,91,92,91,90,90,94,97,96,92,91,94,95,94,95,97,98,97,96,95,95,95,94,92,89,87,87,92,97,100,100,98,96,97,99,101,102,100,97,95,93,92,95,99,100,100,100,100,101,103,106,108,108,104,98,92,90,93,96,95,91,87,88,88,87,87,88,87,87,87,88,88,88,87,87,87,87,87,88,90,89,88,89,90,90,90,90,90,90,91,91,91,90,89,87,87,86,86,86,85,85,86,86,88,89,90,91,92,91,89,88,88,90,88,87,87,88,88,87,87,88,88,87,87,87,87,88,90,92,90,92,97,98,100,106,108,106,103,97,92,91,93,96,98,97,94,92,92,93,95,96,96,95,90,90,96,101,103,104,105,104,103,104,106,107,107,108,109,108,108,109,109,109,110,110,110,109,109,109,109,108,107,106,107,108,108,106,105,106,108,109,107,106,107,110,110,108,107,106,104,103,103,104,null],[99,99,103,103,104,108,109,110,116,118,115,118,121,121,123,124,120,118,121,125,127,129,129,131,131,134,138,142,140,133,127,125,125,124,120,117,118,120,123,128,132,134,131,127,126,128,132,135,144,149,138,128,130,134,137,140,142,146,151,154,151,148,148,148,150,153,154,152,151,151,152,150,145,138,138,140,138,135,136,134,138,147,146,136,133,136,137,134,131,129,129,130,130,129,130,131,131,129,125,121,120,121,124,131,137,136,126,112,99,91,88,88,86,87,87,88,88,87,88,88,88,87,87,88,88,89,91,92,92,94,95,94,95,97,98,97,96,95,94,94,94,96,97,98,98,95,91,89,88,87,87,87,88,88,88,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,88,88,88,88,88,88,88,87,87,87,88,88,88,89,90,91,92,95,98,100,99,97,97,98,101,101,97,94,95,97,97,94,93,96,98,98,97,94,91,90,89,88,88,88,89,92,94,94,93,92,94,97,99,99,99,99,101,102,100,97,93,92,93,95,96,94,93,95,98,97,96,96,96,96,96,95,93,92,91,91,93,98,101,103,103,103,104,103,102,102,101,97,95,99,100,98,96,97,97,97,96,91,88,88,88,88,88,88,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,87,87,87,88,89,91,93,95,94,91,89,90,91,90,91,94,96,95,92,94,98,100,98,94,95,97,98,97,96,94,95,95,93,90,88,88,92,94,96,98,97,96,96,96,97,98,100,102,104,100,93,89,91,97,100,100,100,101,101,103,105,106,108,109,103,94,90,89,91,94,96,93,89,87,88,88,87,87,87,87,88,88,87,87,87,87,87,87,88,88,88,88,88,87,87,88,88,88,88,88,88,88,88,88,87,87,86,87,86,86,87,87,87,89,90,89,90,90,87,85,87,87,88,88,87,87,88,87,88,88,88,87,88,88,88,89,90,92,95,96,99,103,106,108,110,109,106,102,98,95,93,93,94,94,95,94,92,92,92,93,96,97,94,90,90,96,101,101,99,100,103,105,106,106,107,108,108,107,107,109,110,110,109,109,109,109,109,110,110,108,106,106,106,106,106,107,107,106,106,107,109,108,108,109,112,110,107,105,104,103,102,103,105,null],[101,104,106,102,102,110,115,115,117,115,114,119,124,126,126,124,120,118,120,125,127,127,128,131,132,131,133,137,141,139,134,130,128,125,119,117,120,122,122,124,127,130,131,128,125,125,129,136,145,148,138,130,131,135,138,139,142,147,152,153,150,147,146,145,145,148,152,155,153,153,154,152,144,136,139,145,143,142,144,138,137,145,148,142,136,135,137,135,132,131,130,128,131,133,134,133,131,131,128,122,118,119,122,128,132,128,115,102,92,88,88,89,85,86,87,88,88,87,87,88,88,88,88,88,89,90,92,93,95,96,95,93,95,99,100,98,97,97,96,96,96,96,99,102,102,99,95,92,90,89,88,88,87,87,87,87,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,87,87,87,87,87,87,87,88,88,88,87,87,87,88,89,88,89,91,94,96,96,95,95,97,99,101,99,95,96,98,98,95,94,95,97,96,94,91,90,90,89,89,89,88,88,88,90,92,93,92,93,96,99,100,100,100,101,101,99,96,94,92,93,95,98,98,96,96,95,94,95,96,96,95,93,92,91,91,90,89,91,96,102,103,104,105,105,104,102,102,103,100,99,102,102,99,98,98,97,95,95,90,87,87,87,87,87,87,87,87,88,88,87,88,87,87,88,88,87,87,88,88,87,87,87,88,89,90,91,92,94,95,93,90,89,90,89,89,92,95,95,93,93,98,102,101,96,92,93,96,97,96,94,94,95,95,91,88,88,92,97,96,94,94,95,95,96,97,97,98,100,102,103,102,99,95,92,94,98,100,102,102,103,103,103,104,107,109,106,101,96,93,91,93,96,98,94,89,89,88,87,86,86,87,88,88,87,87,88,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,87,87,87,87,87,86,85,84,85,86,87,88,89,90,89,88,87,86,86,87,87,88,88,87,87,87,88,88,87,87,87,88,89,90,91,94,96,100,103,107,108,111,112,111,109,106,103,99,95,95,95,93,92,93,94,94,93,91,91,94,96,94,91,91,96,100,100,98,99,103,106,107,106,106,108,108,107,108,109,110,111,110,108,107,109,110,111,111,108,106,106,106,106,106,107,109,109,107,107,108,110,111,111,111,109,107,105,104,102,102,104,106,null],[109,113,114,108,107,115,118,117,113,111,113,117,124,128,126,122,120,120,121,122,123,122,125,129,130,130,129,133,138,142,140,134,129,125,120,120,124,125,122,121,123,127,131,132,130,128,131,136,141,141,137,133,133,136,139,140,144,150,155,155,152,151,150,145,142,143,149,153,152,152,154,152,145,138,140,148,151,152,149,141,137,141,147,147,141,136,138,136,134,137,135,131,130,133,135,134,132,131,128,124,118,117,122,125,121,112,103,96,92,89,88,87,86,86,87,88,88,87,87,87,87,88,88,89,90,90,92,95,97,97,95,95,97,100,100,99,100,101,100,100,98,98,101,105,104,101,98,94,92,90,89,88,87,87,87,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,87,87,87,87,87,87,87,88,88,88,87,87,87,87,87,88,88,89,90,91,93,93,94,95,97,100,100,97,97,98,97,95,93,94,94,93,91,90,90,90,90,90,90,90,89,87,87,89,91,92,93,95,98,99,98,98,100,98,95,93,94,94,94,96,99,100,98,94,92,93,93,93,93,92,91,92,95,96,95,91,90,93,98,101,103,103,102,100,99,100,102,101,99,100,100,100,100,99,93,89,88,87,87,87,87,87,87,87,87,87,88,88,88,88,87,87,88,88,87,87,88,88,87,87,87,88,89,91,92,94,95,93,90,88,88,89,89,90,93,94,93,94,98,101,100,96,91,91,94,96,96,93,93,94,95,93,91,89,92,98,101,100,97,95,95,95,96,96,97,99,100,99,98,99,103,103,99,96,96,100,103,103,104,104,103,103,103,105,107,106,104,100,97,94,94,99,99,92,91,88,87,86,87,87,88,88,87,87,88,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,88,88,87,87,87,86,86,85,85,85,86,88,89,88,88,88,87,87,88,88,88,87,88,88,88,87,87,88,87,87,87,88,88,90,92,95,98,101,104,109,112,111,112,113,111,109,108,105,100,95,94,96,94,93,93,94,94,94,92,91,92,93,92,92,93,97,100,101,102,104,105,107,107,107,107,107,108,109,109,109,109,110,111,109,108,109,110,111,110,109,107,106,106,107,108,108,109,109,109,108,109,111,112,111,109,107,106,106,106,104,103,105,107,null],[111,116,118,116,116,118,118,114,110,110,114,118,122,127,126,122,123,124,124,124,123,123,124,126,126,126,129,133,137,142,140,132,125,121,120,126,131,128,123,123,124,129,136,141,139,134,131,134,136,136,138,139,137,135,136,139,146,154,156,154,154,156,155,149,143,141,146,152,152,151,151,151,148,142,140,143,150,154,151,144,139,140,145,146,140,138,141,140,138,138,136,133,132,135,138,137,134,132,130,126,120,116,118,118,109,101,95,92,91,88,88,87,87,87,87,88,88,87,88,87,87,88,89,90,91,91,93,95,96,95,94,97,101,100,98,98,100,102,102,101,100,101,103,103,102,101,101,97,93,90,89,88,88,88,88,88,87,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,88,88,88,88,88,88,88,87,87,87,88,88,88,88,87,87,87,87,87,88,89,90,91,92,93,95,96,95,94,94,93,91,90,91,93,93,92,91,92,92,92,91,91,91,89,87,87,89,89,90,90,91,93,95,95,95,95,94,92,92,94,96,97,98,98,97,94,91,89,90,91,91,92,94,96,98,98,99,99,96,93,94,98,103,104,100,96,96,98,100,101,99,95,95,93,90,89,88,88,88,87,87,88,88,88,87,88,88,88,88,87,87,87,87,88,88,87,87,87,88,88,88,87,87,88,89,90,94,96,96,93,90,88,88,88,88,90,93,95,94,94,96,100,100,97,92,89,91,93,94,93,93,94,94,92,90,91,95,99,104,107,105,102,99,96,97,98,96,95,95,96,97,96,97,100,103,103,100,98,100,100,101,103,104,104,103,102,102,104,106,107,105,101,97,97,98,98,95,90,87,89,89,87,87,88,88,88,88,88,87,87,88,88,88,88,88,88,87,87,88,88,88,88,87,89,88,86,86,86,86,86,86,86,86,87,88,88,88,87,88,88,88,88,88,88,88,87,87,87,88,88,87,88,88,88,89,90,93,96,98,101,104,108,111,112,113,115,115,113,111,109,108,103,97,96,98,96,94,93,93,94,95,95,94,93,92,91,93,97,101,103,104,106,107,107,107,108,109,108,106,107,109,109,109,109,109,109,109,110,110,110,110,110,109,108,106,105,106,108,108,108,107,107,108,109,111,110,109,108,108,107,107,107,107,107,108,109,null],[111,114,118,120,119,116,115,114,112,111,114,118,122,125,125,125,125,126,127,127,126,125,125,126,125,126,130,135,139,142,137,128,121,118,121,128,134,129,124,126,127,131,138,144,145,141,136,134,134,136,139,140,138,134,132,135,144,152,152,151,154,158,158,154,146,142,144,150,152,150,148,150,151,147,143,143,148,151,148,144,141,143,145,144,139,137,142,144,141,140,139,138,137,137,140,140,137,135,133,127,120,113,111,107,99,94,91,90,90,88,88,88,87,87,87,88,87,88,88,87,87,88,89,91,93,94,94,94,94,92,92,97,101,100,98,98,100,102,102,101,102,102,100,98,99,100,100,95,92,90,89,89,90,90,89,88,88,87,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,88,88,88,88,88,88,88,87,87,87,87,88,88,87,87,88,88,87,86,87,87,89,90,90,90,91,91,91,90,90,89,89,89,90,93,94,93,93,93,93,93,93,92,91,89,87,87,88,87,87,87,86,88,90,91,91,90,91,92,93,94,97,98,99,98,96,94,92,90,91,91,92,96,100,103,102,100,100,101,100,97,95,98,102,102,97,93,94,97,100,98,95,93,94,91,88,88,88,88,87,87,88,88,88,88,87,88,88,88,88,87,88,87,87,88,88,87,87,88,88,87,87,88,88,89,90,92,95,96,95,91,88,88,88,88,89,92,95,96,96,97,98,98,96,92,90,90,92,93,93,94,95,95,93,91,91,96,101,105,107,109,108,106,103,100,97,98,96,94,93,93,95,96,97,98,100,103,102,101,101,100,100,100,103,105,105,103,101,100,102,105,106,104,103,101,98,98,99,95,90,87,89,88,88,88,88,87,87,88,87,87,88,88,88,87,87,88,88,87,88,88,88,87,87,90,89,88,88,88,88,88,88,88,88,88,88,88,88,88,88,89,89,88,88,88,88,87,87,87,88,87,87,88,88,89,91,93,96,98,100,104,108,110,110,111,114,116,116,114,113,111,108,104,99,98,98,97,95,93,92,93,94,95,95,95,93,91,92,97,102,106,107,108,108,106,106,108,109,108,106,107,108,109,109,109,108,108,109,111,111,111,110,110,109,108,107,106,106,107,108,107,107,108,109,110,110,108,107,107,108,108,107,106,108,109,109,108,null],[112,114,116,117,115,112,114,117,116,113,113,119,124,124,126,128,126,126,128,129,128,127,128,129,129,129,131,136,143,144,137,128,122,120,119,125,131,130,127,127,128,129,131,137,143,145,141,137,136,139,139,138,137,134,132,135,142,146,146,146,151,156,157,155,150,144,142,145,151,149,145,149,152,150,148,149,151,150,146,142,143,148,150,145,140,138,142,145,144,142,143,145,141,137,139,141,139,136,133,125,116,108,101,96,92,90,89,87,87,87,87,87,88,88,88,87,87,88,88,87,87,88,90,93,95,94,93,94,94,94,93,95,97,98,99,100,102,102,101,102,102,100,96,94,97,98,96,92,90,90,90,90,90,91,90,89,88,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,87,87,87,87,87,87,87,88,88,88,87,87,87,87,87,88,88,87,87,87,87,87,87,88,88,89,89,88,88,88,88,88,90,92,93,93,93,94,93,92,93,93,92,91,90,89,87,86,86,86,86,86,86,87,88,88,89,91,93,93,94,95,97,99,99,99,98,97,95,94,93,96,101,105,106,102,99,100,103,103,100,96,96,97,98,95,93,94,97,98,96,92,90,89,88,87,87,87,87,88,88,87,87,87,87,88,87,87,87,87,88,87,88,88,87,87,88,88,88,87,87,88,88,89,91,94,95,94,93,92,90,88,87,88,89,92,94,95,96,97,97,96,95,91,89,91,93,93,93,95,97,97,95,93,93,97,102,107,107,107,108,108,107,105,103,100,97,96,97,95,94,92,94,98,100,99,98,99,101,104,103,101,98,101,105,107,105,102,100,99,102,105,107,107,105,102,102,103,101,96,90,88,90,90,89,88,87,87,88,88,88,87,87,87,88,88,87,87,88,88,87,87,87,87,88,88,87,87,87,90,90,89,89,89,89,89,89,90,90,89,88,87,87,87,88,88,88,88,88,88,87,87,88,89,91,94,96,103,101,102,107,110,111,109,110,113,114,114,114,115,113,108,103,101,99,98,97,95,93,93,93,93,94,95,96,94,92,91,95,102,107,109,109,107,105,105,107,108,108,107,108,109,109,109,110,109,109,109,110,110,111,111,110,109,108,109,109,108,107,108,108,110,112,111,109,108,107,107,106,107,108,106,105,107,107,106,106,null],[114,117,117,116,112,108,112,117,117,114,113,120,128,130,130,129,125,124,125,128,128,127,128,131,132,133,137,142,144,141,136,132,127,123,118,122,129,133,132,129,129,130,128,129,135,139,141,138,140,144,144,140,136,134,137,141,145,147,145,144,147,149,149,150,149,144,141,143,150,150,147,147,149,149,150,153,153,150,147,143,143,149,150,147,143,141,142,144,143,140,141,144,144,143,142,139,136,131,125,117,109,101,94,91,89,90,90,87,87,87,87,87,88,88,87,87,88,88,88,88,88,89,91,94,95,95,95,97,99,97,94,94,96,99,100,100,101,100,99,101,101,96,92,93,97,97,94,90,89,90,91,92,93,93,91,90,89,88,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,87,87,87,87,87,87,87,88,88,88,87,87,87,87,87,88,88,87,87,87,87,87,87,87,87,88,88,88,87,88,88,89,91,92,93,92,92,92,91,91,91,91,90,90,90,89,88,86,86,85,86,88,89,88,88,88,88,90,92,92,92,92,94,96,97,97,97,98,98,95,94,96,100,104,103,100,99,101,103,102,101,99,98,98,97,96,94,95,97,97,96,91,88,88,88,87,87,87,87,88,88,87,87,87,87,88,87,87,87,88,87,87,88,88,87,87,88,88,87,87,88,88,89,91,92,94,94,92,90,89,89,88,87,88,90,93,95,95,96,96,95,92,90,90,92,95,95,94,95,96,95,94,93,94,98,103,107,108,107,105,107,108,108,107,105,103,99,96,96,95,94,92,94,99,102,101,98,98,100,101,102,102,101,101,103,105,105,104,101,99,102,105,109,109,107,106,105,105,105,102,97,94,94,93,91,89,88,87,88,88,87,87,87,87,88,88,87,87,88,88,87,87,87,87,88,88,87,87,87,90,90,89,89,89,89,89,89,90,90,89,89,87,87,88,88,88,88,88,88,87,87,88,89,91,93,95,97,102,103,104,107,110,111,109,108,110,112,113,112,112,111,107,104,104,103,100,97,95,94,93,93,93,94,95,96,94,91,89,93,101,107,109,109,106,103,104,107,107,107,107,108,109,109,109,110,110,110,108,108,109,110,110,110,109,109,111,111,110,109,109,109,110,111,110,109,108,108,107,107,107,109,107,106,107,107,106,106,null],[114,117,117,117,113,108,111,117,117,116,118,123,130,135,135,131,128,127,128,129,129,127,128,132,134,136,141,144,142,135,132,134,130,124,119,122,130,136,137,134,133,133,129,126,129,133,135,136,141,147,150,145,138,137,142,148,150,150,147,145,147,145,142,145,146,143,140,142,148,150,148,146,146,147,149,151,152,150,148,146,145,147,149,149,146,145,145,144,142,138,136,138,143,145,141,135,128,120,112,105,100,95,92,90,89,89,87,88,88,87,88,88,87,87,88,88,88,87,87,88,89,90,92,94,96,97,98,101,102,98,93,94,98,100,99,98,99,99,98,100,100,97,95,96,98,98,96,93,92,91,93,96,97,96,95,92,90,89,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,87,88,88,88,88,88,88,88,87,87,87,88,88,88,88,88,87,87,88,88,88,88,88,88,88,87,88,87,87,87,87,87,89,91,91,90,92,90,89,89,90,90,90,89,89,89,89,89,88,87,85,87,92,93,90,88,88,88,89,90,90,90,89,90,92,92,92,93,96,97,95,95,95,96,98,99,98,100,103,103,101,101,101,102,101,100,97,95,96,92,89,88,88,87,87,88,88,88,88,88,87,87,88,88,88,88,87,88,88,87,87,87,88,87,87,88,88,87,87,87,88,88,89,91,91,92,93,92,90,90,89,88,88,88,90,92,94,94,95,95,94,91,87,87,91,95,97,96,96,96,94,91,91,94,98,103,107,109,108,106,105,107,108,108,107,108,107,104,99,96,96,96,94,92,92,91,92,98,100,100,98,100,102,103,101,99,100,103,104,104,103,103,105,108,109,108,106,106,106,107,107,104,100,97,94,95,91,89,88,88,87,87,86,86,87,88,88,87,87,88,87,88,88,88,88,87,87,88,88,88,88,87,87,87,87,87,88,88,88,88,88,88,88,88,87,87,87,87,87,87,88,88,89,90,93,93,96,97,97,101,105,106,108,110,109,107,106,109,112,111,109,109,108,107,107,106,103,97,95,95,94,92,93,94,95,96,94,91,89,94,102,108,109,108,106,103,104,107,107,106,107,108,109,108,108,109,110,110,109,108,108,109,109,109,109,109,111,112,110,110,110,109,109,109,108,108,109,109,108,108,109,109,109,108,107,107,109,109,null],[111,112,113,116,115,112,115,120,121,121,124,125,128,134,136,135,135,137,137,135,130,128,130,134,137,139,139,141,140,133,129,129,127,122,119,123,131,136,139,141,141,138,132,128,130,133,134,133,137,144,150,147,141,141,147,148,148,149,146,147,150,146,140,143,145,141,138,139,143,145,143,143,145,145,146,148,149,147,146,147,149,149,149,151,150,149,148,145,143,141,137,132,134,136,132,126,118,109,103,98,95,92,91,90,87,87,87,88,88,87,88,88,88,87,87,88,88,87,87,89,91,94,96,98,98,99,100,100,99,95,91,93,97,98,99,99,99,98,98,100,103,104,103,102,102,102,100,98,95,93,94,96,97,96,95,93,91,91,90,89,88,88,88,88,88,87,87,88,88,87,87,87,87,87,88,88,88,88,88,88,88,88,87,87,88,88,88,88,88,87,87,88,88,88,88,88,88,88,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,88,89,88,88,88,88,88,88,89,90,90,91,94,96,96,95,95,95,94,95,98,99,101,103,103,101,100,100,101,101,99,92,88,88,88,88,87,87,87,87,88,88,88,88,88,87,87,88,88,88,88,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,89,91,94,95,95,92,90,90,90,89,88,88,90,93,94,93,93,94,94,92,89,88,90,92,94,96,98,97,96,91,89,93,99,104,106,107,109,108,106,106,107,107,108,109,110,110,108,104,100,97,96,97,94,92,91,90,92,99,101,102,100,100,100,100,99,98,100,103,105,106,104,103,104,106,107,105,105,106,107,107,105,102,99,99,98,94,92,90,88,87,87,86,86,87,88,88,87,87,88,87,88,88,88,88,87,87,88,88,88,87,87,87,87,87,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,88,89,90,92,92,92,94,94,95,99,103,105,106,107,108,107,106,109,112,111,109,109,108,109,108,105,101,97,96,97,95,92,92,93,94,96,94,91,91,96,103,108,108,107,106,105,105,106,105,107,109,111,110,108,107,107,108,109,109,109,109,109,109,110,108,108,110,111,109,109,110,111,111,110,109,109,109,108,107,108,109,109,108,106,107,109,111,111,null],[107,109,115,116,116,118,121,123,123,123,125,123,124,131,135,137,141,145,146,141,136,134,134,137,143,145,142,137,135,135,133,129,122,118,119,124,130,132,135,140,145,144,139,136,136,139,139,137,135,138,144,147,146,148,150,147,145,146,145,145,148,145,143,148,150,143,138,137,139,140,141,144,145,143,145,148,147,145,145,150,153,152,150,151,152,149,146,143,141,142,137,126,123,124,123,118,110,102,97,94,92,91,91,90,88,88,87,87,87,87,87,88,88,87,87,87,88,88,88,89,92,97,99,98,98,100,101,99,94,91,92,96,98,98,100,100,98,97,99,103,107,108,106,103,102,103,104,102,98,95,95,96,94,93,94,93,92,93,92,91,90,89,89,88,88,87,87,87,87,87,88,88,88,88,87,87,87,87,87,87,87,87,87,88,87,87,87,87,87,88,88,87,87,87,87,87,87,87,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,89,88,88,88,88,88,88,89,89,90,92,94,94,94,93,94,94,93,94,97,99,100,102,101,100,98,99,100,101,100,92,87,87,87,87,88,88,88,88,87,87,87,87,87,88,88,87,87,87,88,88,87,87,88,88,88,87,88,88,88,87,87,88,88,89,91,91,93,93,92,91,90,90,89,88,87,88,93,96,95,93,93,93,91,89,89,91,93,92,93,95,96,95,92,90,92,98,104,107,107,105,105,105,104,105,106,107,107,109,110,110,109,108,105,100,97,96,94,93,91,90,91,97,101,103,103,101,99,98,99,98,97,100,104,107,105,103,102,103,104,106,107,107,107,105,103,101,101,103,102,97,95,92,91,90,89,88,88,88,88,88,87,87,88,88,87,87,87,87,88,88,88,87,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,88,88,88,88,89,90,90,91,91,92,92,92,94,95,96,96,99,103,104,103,105,106,106,108,110,112,111,110,109,109,107,104,101,98,98,97,96,93,91,91,94,96,94,91,93,98,103,106,108,107,106,106,106,105,105,108,111,112,109,108,107,107,107,108,108,109,109,109,109,110,109,107,108,110,109,109,109,110,111,110,109,108,107,107,107,107,108,107,106,106,107,110,112,110,null],[109,112,118,118,117,121,125,126,123,121,121,120,122,129,134,136,141,145,147,144,141,141,139,139,146,151,146,137,132,138,140,133,122,115,120,126,129,129,129,134,142,147,146,143,141,144,148,146,140,137,138,145,151,154,152,147,143,142,141,140,140,141,145,152,152,144,138,136,138,141,144,145,143,142,146,150,147,142,143,149,153,151,149,150,151,148,143,137,136,140,135,120,113,114,115,112,104,98,94,91,89,87,88,88,88,88,87,87,87,87,87,88,88,87,87,88,88,89,90,91,95,98,98,96,96,100,101,97,91,91,96,100,100,99,101,102,98,96,100,105,107,105,100,98,99,103,105,102,97,94,94,94,92,91,93,94,94,94,93,92,92,91,89,88,88,87,87,87,87,87,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,87,87,87,87,87,87,87,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,87,87,87,88,88,88,88,89,89,90,91,91,91,91,91,92,95,97,98,99,99,98,97,93,89,88,87,86,87,87,88,88,87,88,88,88,87,87,87,87,87,88,88,87,87,87,88,88,87,87,88,88,88,87,88,88,87,87,88,88,89,91,94,95,93,91,89,90,90,89,87,87,87,90,95,96,94,94,94,92,89,89,92,94,93,91,92,93,93,91,90,93,98,103,105,106,105,103,101,101,101,102,104,106,107,107,108,108,109,110,109,105,99,95,96,97,93,91,91,93,96,100,104,105,100,97,98,98,98,99,102,105,105,105,104,102,102,106,109,108,107,105,102,101,103,106,105,101,97,94,91,89,92,92,90,89,88,88,87,87,88,88,87,87,87,87,88,88,87,87,88,88,88,87,88,88,87,87,87,86,87,87,87,87,88,88,89,90,91,93,94,92,92,92,92,91,93,97,100,98,96,96,99,100,99,101,103,106,107,109,112,111,108,108,108,106,103,101,99,99,98,97,95,92,91,94,96,94,91,94,100,102,103,107,107,107,106,105,105,106,108,111,110,108,108,108,108,108,107,107,108,109,108,108,109,109,109,109,109,110,110,110,109,109,109,109,108,106,106,106,107,107,107,107,107,107,109,110,108,null],[117,115,116,118,120,121,126,129,125,121,120,119,121,127,131,133,138,140,139,136,136,141,142,139,138,141,143,138,133,138,140,132,121,116,120,125,128,129,129,130,134,139,141,140,140,144,148,150,148,144,141,144,151,155,153,148,143,139,136,136,139,144,149,153,149,140,135,138,144,150,150,144,141,144,148,149,146,139,137,140,144,144,144,146,149,145,137,133,135,140,134,117,109,108,109,106,99,95,92,89,88,87,87,88,87,87,87,88,88,87,87,88,88,88,88,88,89,90,92,95,97,99,99,98,100,101,98,92,88,94,102,103,100,101,103,102,97,96,102,106,106,100,95,94,97,103,105,101,95,93,94,93,91,91,95,96,95,94,94,95,94,93,91,90,89,88,88,88,88,88,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,88,88,88,88,87,87,87,87,88,88,89,89,89,88,88,88,88,89,89,90,90,89,89,89,89,88,87,87,87,87,87,88,88,87,87,87,87,87,88,88,88,88,87,87,88,88,88,87,87,88,88,87,87,87,87,88,87,87,87,88,89,91,94,95,93,90,88,88,89,89,88,87,87,89,93,95,96,95,94,91,89,90,94,96,95,92,90,91,92,91,91,93,97,102,105,104,103,102,101,100,99,99,101,103,105,107,106,107,108,110,111,111,108,103,98,96,95,94,93,93,94,95,97,102,105,103,99,97,99,100,98,98,101,105,106,105,104,103,103,104,106,108,106,103,101,104,105,105,104,103,101,100,99,97,96,94,92,90,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,88,88,87,87,86,86,87,87,88,88,88,90,91,92,94,96,97,97,95,92,90,90,94,101,103,99,95,94,95,96,96,97,99,103,107,110,110,106,102,103,104,103,101,99,100,100,100,100,98,94,93,95,96,93,91,95,101,102,103,106,109,109,107,106,106,107,108,109,108,106,107,109,108,107,106,107,108,108,108,108,108,109,110,110,110,110,111,110,109,108,108,108,108,106,105,105,105,106,108,109,109,109,108,108,107,null],[122,117,114,121,124,121,125,130,127,123,122,124,126,126,126,129,136,137,131,128,130,135,139,139,134,133,135,135,132,133,132,126,121,119,121,126,130,133,133,131,132,134,135,134,134,137,142,146,151,152,148,145,148,150,151,149,144,139,135,137,143,148,148,144,138,134,134,139,148,153,150,143,141,147,148,145,141,136,131,134,140,141,140,140,142,139,131,129,134,139,133,118,110,107,105,101,97,94,91,89,88,87,87,88,88,87,87,88,88,88,88,87,88,88,88,89,90,92,95,98,98,99,101,102,103,102,96,89,90,99,105,102,99,102,105,103,97,97,101,102,99,95,93,95,97,101,102,98,93,92,93,93,92,95,98,98,96,95,97,98,96,93,92,91,91,90,89,89,88,88,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,88,88,88,88,88,88,88,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,88,88,88,88,87,87,87,87,88,88,88,88,88,87,88,88,88,87,87,87,87,87,88,88,88,87,87,87,87,87,87,88,88,87,87,87,87,88,88,88,88,88,87,87,88,88,88,87,87,88,88,87,87,87,87,87,87,87,88,89,90,92,93,93,90,88,88,88,88,88,88,88,89,91,93,93,94,94,92,89,89,93,97,96,93,91,91,92,93,95,96,100,103,104,103,102,101,100,101,100,99,99,101,103,106,107,108,108,109,111,110,109,108,106,102,99,96,96,96,94,94,95,95,98,102,103,101,99,101,102,100,98,100,102,104,105,106,105,102,100,101,105,107,105,103,103,103,104,103,103,104,103,103,101,100,98,96,93,91,89,88,88,87,87,88,88,88,87,87,87,87,87,87,87,87,88,88,87,87,87,87,88,89,89,89,90,91,92,94,97,102,104,102,97,92,89,91,96,101,102,97,94,92,92,92,92,92,95,101,109,114,110,103,97,97,99,99,98,98,99,100,99,101,100,95,94,96,95,92,91,96,103,105,105,107,109,110,108,106,107,108,108,108,107,106,107,108,108,107,106,108,108,108,108,108,108,109,110,111,111,110,110,109,108,108,108,108,108,107,106,105,105,107,109,109,109,109,108,107,107,null],[118,117,117,125,127,122,125,130,128,125,127,133,133,126,124,129,138,139,132,130,131,131,134,137,138,135,131,129,128,126,124,123,120,120,123,128,134,137,137,137,139,140,137,133,128,131,137,140,146,152,152,149,146,145,147,147,147,143,138,139,147,147,137,129,128,132,135,139,144,145,143,141,144,150,148,140,136,132,130,134,141,143,139,134,131,127,122,123,129,133,130,121,112,105,102,99,96,93,91,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,90,92,98,100,99,97,99,102,104,105,102,93,89,94,101,104,101,99,102,106,104,97,95,98,95,93,94,98,101,102,101,99,95,92,93,92,91,93,97,100,100,97,98,99,99,98,96,95,94,93,92,91,90,90,89,88,88,88,88,87,87,87,87,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,87,87,87,87,88,88,88,88,87,87,87,87,87,87,87,88,88,87,87,86,86,87,87,87,87,88,88,88,88,88,88,87,87,88,88,88,88,87,87,87,87,87,88,88,87,87,87,88,88,87,87,88,88,88,88,88,88,88,88,89,92,93,91,89,87,88,88,87,88,88,87,88,91,92,91,90,90,90,89,89,91,94,95,93,91,90,91,95,98,101,104,105,106,105,103,103,102,100,98,99,100,101,102,104,106,108,109,108,108,109,108,107,105,105,104,100,96,95,94,96,96,95,97,96,97,101,104,102,100,100,102,101,99,98,100,103,105,105,104,101,98,99,103,107,105,102,103,103,101,100,100,102,104,106,105,103,100,97,94,92,90,89,88,88,89,90,89,88,88,88,88,88,88,88,88,88,87,88,88,89,90,90,91,91,92,92,93,93,93,96,101,106,106,99,92,92,94,97,99,97,94,91,89,90,90,89,90,94,102,112,115,112,104,98,94,94,96,98,98,98,97,96,99,100,96,95,96,95,91,91,98,106,108,107,108,108,107,106,105,106,107,108,108,106,106,107,108,108,107,107,108,108,108,108,108,108,108,108,109,110,109,108,108,108,108,108,107,107,108,107,106,106,107,107,106,107,109,109,107,106,null],[115,116,118,123,125,123,127,130,128,125,129,137,139,130,127,133,140,141,136,137,138,133,130,131,134,133,128,125,125,124,126,128,124,120,121,127,132,134,134,136,140,144,144,138,132,131,135,138,141,146,152,153,147,142,143,145,146,143,140,140,144,139,130,127,130,134,136,135,136,135,135,137,142,147,145,138,130,126,128,133,137,135,131,126,121,115,111,114,120,125,125,120,112,104,100,97,94,93,92,88,88,88,88,88,88,88,88,87,87,88,88,87,87,88,89,90,94,99,99,98,100,103,105,107,105,99,91,90,97,103,104,103,102,104,106,103,96,93,94,93,93,98,103,105,106,104,100,96,93,92,92,93,96,99,98,97,97,100,101,100,99,99,98,97,96,95,94,92,91,90,89,89,88,88,87,87,87,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,87,87,87,87,88,88,88,88,87,87,87,87,87,87,87,87,88,87,87,87,87,87,87,87,87,88,88,88,88,88,88,87,87,88,88,88,88,87,87,87,87,87,88,88,87,87,87,88,88,87,87,88,88,88,87,88,88,88,89,90,92,91,88,86,87,87,87,87,88,87,87,90,92,92,89,87,87,88,90,91,91,90,91,94,95,95,97,100,103,106,108,108,107,105,103,102,101,99,98,99,101,103,104,106,107,107,108,108,108,108,107,106,105,105,104,102,99,96,94,96,97,98,97,96,97,101,105,105,102,99,99,100,100,99,99,101,102,104,106,105,101,97,99,104,106,104,103,103,103,102,101,101,103,105,106,105,102,100,99,96,92,90,89,90,91,92,90,89,89,89,89,89,89,89,88,88,88,89,91,93,94,94,94,94,94,95,95,94,93,93,97,104,107,102,95,94,95,96,96,94,92,89,89,93,95,94,94,99,107,113,112,106,102,99,95,93,95,97,98,99,97,96,98,101,99,97,96,95,93,91,98,106,110,110,109,107,105,105,104,104,107,109,106,105,106,106,107,108,108,108,108,108,107,107,108,108,107,106,107,108,109,107,106,107,109,108,107,107,109,109,108,107,107,107,105,107,109,110,108,107,null],[116,116,117,118,120,123,126,128,127,125,126,133,138,136,137,141,142,140,140,144,145,136,127,121,122,124,124,124,125,127,131,134,129,122,120,122,126,128,130,133,138,143,147,146,142,140,141,144,143,142,149,153,148,141,139,144,145,140,137,136,135,131,130,135,140,140,137,134,133,133,133,133,135,140,141,137,130,126,128,132,132,127,123,122,118,113,108,109,113,117,117,113,108,102,96,93,91,88,87,87,87,88,88,87,87,87,88,88,87,87,87,88,88,88,89,92,96,98,96,99,104,107,108,108,104,96,89,90,98,105,107,106,105,106,104,99,94,94,96,96,97,102,104,106,107,107,104,99,95,92,92,95,99,99,96,94,95,99,100,99,100,101,100,99,98,97,96,94,93,91,90,90,89,89,88,88,88,88,88,88,88,88,88,88,87,88,87,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,88,88,88,88,87,87,87,87,88,88,88,88,88,88,88,88,87,88,88,88,88,88,88,88,88,87,87,87,87,87,87,88,88,87,87,87,87,88,88,88,88,88,87,88,88,88,87,87,87,88,88,87,87,87,87,88,89,89,90,92,92,90,87,86,87,86,86,87,87,87,88,90,91,89,86,85,86,89,92,92,90,88,91,98,103,102,102,104,105,106,106,106,106,105,104,102,99,98,99,102,103,103,105,107,106,104,105,106,107,107,107,107,105,105,104,102,100,98,96,95,97,98,96,96,98,101,104,106,103,99,95,96,99,102,101,99,99,102,105,108,106,101,97,100,104,106,105,104,106,106,104,101,101,103,104,104,103,103,103,102,97,92,92,93,94,94,92,91,91,91,91,91,90,90,90,90,91,92,95,93,97,100,100,96,93,95,98,98,97,95,97,102,106,104,99,96,96,96,96,94,91,88,91,98,102,103,102,106,111,111,105,99,97,98,96,94,92,93,97,99,98,97,99,101,101,99,97,96,94,93,98,105,109,111,110,107,104,104,104,104,108,109,105,103,104,105,107,108,109,109,109,108,107,107,107,107,107,107,107,107,108,107,106,107,109,109,108,108,110,110,109,107,106,107,107,107,109,109,108,108,null],[121,118,116,115,117,120,121,121,125,126,126,127,132,139,148,150,146,140,141,146,146,135,122,113,114,117,120,124,128,129,131,133,132,128,126,123,123,128,134,135,134,136,142,148,151,150,151,153,150,146,145,147,145,140,138,145,147,138,131,128,128,129,133,142,147,145,140,138,139,140,138,133,130,132,133,133,134,133,135,139,141,135,129,125,126,126,122,118,116,112,108,104,102,99,94,91,90,87,87,87,87,87,87,88,88,87,87,88,88,87,87,88,89,90,89,92,95,98,99,101,105,107,108,108,103,94,87,91,101,108,108,106,106,106,103,97,96,100,104,102,100,102,103,104,105,105,103,101,98,95,95,97,98,98,96,95,95,97,99,98,100,101,100,100,101,99,97,94,93,93,92,91,91,92,90,89,88,88,88,88,88,88,88,88,87,88,87,88,88,88,88,88,88,87,87,88,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,87,88,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,88,88,88,88,87,87,87,87,88,88,88,88,88,88,88,88,87,88,88,88,88,88,88,88,88,87,87,87,87,87,87,88,88,87,87,87,87,88,88,88,88,88,88,87,87,88,88,87,87,88,88,87,87,87,87,88,89,89,91,94,94,90,87,85,86,86,87,87,87,88,89,88,87,85,84,85,87,90,93,93,92,92,98,104,107,105,104,103,104,103,102,104,105,106,104,100,98,99,102,104,105,105,106,106,105,103,104,105,105,104,105,106,105,105,105,103,100,101,99,97,96,95,95,95,97,99,101,102,104,101,94,92,95,101,103,100,98,100,103,106,108,105,101,99,100,104,105,106,105,105,104,102,103,105,104,104,105,104,102,99,94,90,92,96,98,96,93,93,95,96,96,95,91,91,92,93,93,93,97,101,104,103,100,94,92,97,102,103,102,101,102,104,105,103,100,98,99,100,98,93,89,88,92,100,107,110,109,109,109,106,101,98,95,94,96,97,94,94,95,98,98,97,99,101,99,98,97,96,94,93,98,104,107,108,109,106,104,104,105,106,108,107,103,101,101,103,105,107,108,109,110,109,108,107,107,107,108,109,108,108,108,107,107,108,109,110,110,110,110,109,108,107,107,107,107,107,107,107,107,107,null],[123,119,117,116,117,119,119,119,123,125,126,127,132,141,148,149,144,141,143,147,144,133,121,113,115,120,120,123,127,130,130,130,133,136,135,128,123,126,132,136,134,134,139,147,151,151,151,155,154,149,144,141,142,140,140,145,143,134,128,129,133,136,138,144,149,149,143,141,145,146,143,138,135,135,133,133,138,142,142,146,149,147,138,131,134,138,135,127,116,108,102,98,96,95,92,90,90,87,88,88,88,87,87,88,88,87,87,88,88,87,87,88,89,91,91,93,94,96,99,101,103,106,108,106,100,92,88,93,103,109,107,105,105,106,102,95,96,101,105,102,98,99,101,102,102,102,101,99,98,98,98,97,98,98,98,97,97,97,96,97,98,99,98,99,100,99,97,95,94,92,91,90,92,93,92,91,90,89,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,88,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,88,88,88,88,87,87,87,87,87,87,87,87,88,87,87,87,87,87,87,87,87,88,88,88,88,88,88,87,87,88,88,88,88,87,87,87,87,88,88,87,87,88,88,88,87,88,88,87,87,87,87,88,89,89,91,93,93,90,88,86,87,87,87,88,88,89,88,86,84,85,88,91,93,94,96,97,97,99,104,106,106,105,103,102,102,101,99,101,103,104,102,100,99,100,104,106,106,105,105,104,103,102,102,103,104,104,106,107,105,103,104,102,101,103,104,101,98,96,93,94,95,96,97,98,101,100,95,92,95,99,103,102,100,100,102,105,108,109,107,103,102,102,103,103,103,103,102,102,104,106,107,108,110,107,101,95,91,91,94,98,99,99,97,97,97,99,99,97,93,92,94,95,97,100,104,108,107,104,100,97,97,100,103,104,104,104,104,104,103,101,101,101,103,102,96,90,87,86,90,98,107,113,113,110,106,104,103,102,96,91,95,98,94,93,95,98,98,98,100,102,99,97,96,94,93,96,102,107,107,105,106,105,104,105,107,108,106,103,102,100,100,103,106,107,109,110,110,109,108,107,107,106,108,109,110,109,108,108,109,109,110,110,111,110,109,108,108,109,108,107,106,106,105,106,107,105,null],[122,121,120,118,118,121,123,122,122,123,127,133,139,142,140,137,137,142,148,148,142,135,126,121,125,128,125,123,125,129,131,132,135,140,141,136,126,122,125,131,134,136,139,143,145,143,144,147,149,147,142,139,140,141,141,140,134,127,129,137,143,143,141,144,149,151,146,141,144,147,146,146,145,144,138,135,139,144,146,147,150,151,144,136,135,138,133,122,109,102,99,96,93,90,90,89,87,88,88,88,88,88,87,88,88,87,87,88,88,87,87,88,90,92,94,95,94,93,95,98,102,106,107,103,97,91,89,96,107,110,105,104,106,107,101,95,95,97,97,95,94,96,98,100,101,100,98,97,98,99,99,98,98,98,98,100,101,98,96,96,97,97,97,97,98,98,97,97,94,91,89,90,93,95,94,93,91,89,88,88,87,87,87,87,88,88,88,87,87,87,87,87,87,88,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,88,88,88,88,87,87,87,87,87,87,87,87,88,87,87,87,87,87,87,87,87,88,88,88,88,88,88,87,87,88,88,88,88,87,87,87,87,88,88,87,87,87,88,88,88,87,87,87,87,87,87,88,88,89,90,91,90,89,88,88,88,89,89,90,91,91,89,87,89,92,97,101,102,102,103,103,102,104,106,106,105,103,103,102,100,98,98,99,100,100,101,101,102,102,104,106,106,104,103,103,102,101,101,103,105,106,109,108,103,101,102,104,106,106,107,105,99,94,94,92,92,93,93,94,97,97,96,96,98,99,101,102,101,101,104,106,106,109,111,110,107,104,101,101,102,103,104,104,104,106,109,112,113,108,100,92,93,100,100,96,99,102,103,99,97,98,99,98,93,92,95,96,100,106,110,110,107,104,103,104,104,103,102,102,102,101,100,100,101,101,103,104,105,100,92,87,87,87,89,96,106,113,116,110,103,103,107,107,99,91,92,96,95,94,95,98,101,101,104,105,102,99,96,92,93,98,105,109,108,105,103,103,105,107,108,107,102,99,101,101,101,104,107,109,110,110,110,108,107,107,107,106,107,109,109,109,108,108,109,110,110,110,110,109,108,108,109,109,108,106,106,106,106,106,106,105,null],[117,120,121,119,118,121,125,125,122,123,129,138,143,140,134,132,135,144,151,148,139,134,130,127,132,132,126,124,128,131,135,138,138,138,138,136,130,123,120,123,130,135,136,138,140,142,142,139,140,141,140,139,141,142,139,134,126,121,127,137,141,142,142,143,147,152,149,145,145,148,150,150,150,147,140,133,134,139,144,146,148,151,149,143,139,131,122,111,102,98,95,93,91,90,88,87,87,88,88,87,87,88,88,87,87,88,88,88,87,87,87,88,91,94,96,97,95,94,95,98,103,107,106,100,92,88,91,100,108,107,103,102,106,107,101,95,95,95,93,91,92,95,97,98,99,100,99,98,99,99,98,97,99,101,100,102,101,97,94,94,95,96,97,98,98,97,96,96,94,90,90,92,95,96,95,95,93,92,91,89,89,88,88,88,88,88,87,88,88,88,88,88,88,87,87,87,87,87,87,87,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,87,87,87,87,88,88,87,87,88,88,87,87,87,88,88,88,88,87,87,87,87,88,88,88,88,88,88,88,88,87,88,88,88,88,88,88,88,88,87,87,87,87,87,87,88,88,87,87,87,87,88,88,88,88,87,87,88,88,88,87,87,87,88,88,88,88,88,88,88,88,88,89,90,89,88,88,87,87,88,89,90,92,93,94,95,98,102,106,107,107,106,107,107,105,105,107,107,106,104,103,102,100,98,99,100,99,99,100,102,103,103,104,106,106,104,102,101,102,101,101,103,106,108,107,104,102,102,105,107,108,108,108,106,102,98,96,94,93,92,92,92,93,95,96,98,100,98,97,99,99,102,107,108,105,106,108,108,109,109,107,106,105,105,106,106,107,108,110,110,107,100,94,94,101,109,107,101,101,103,103,99,95,95,97,98,96,95,97,100,104,108,110,109,107,104,103,105,105,102,99,99,98,98,100,101,101,102,104,106,104,98,92,90,92,96,99,101,108,114,114,106,100,103,109,108,100,93,92,94,96,95,93,96,98,104,107,107,104,101,98,94,92,97,103,107,109,106,103,104,107,109,106,101,97,98,101,102,101,104,107,108,109,109,109,108,107,108,107,107,108,110,109,108,109,110,110,110,109,109,108,108,109,109,110,110,108,107,106,107,108,107,105,104,null],[118,121,124,122,119,120,124,124,121,122,130,137,138,134,131,134,137,144,150,146,137,134,132,132,134,133,126,126,130,132,137,142,140,135,132,132,131,128,124,122,126,130,131,134,140,146,145,139,134,136,139,142,143,139,133,127,123,123,130,135,135,137,139,141,145,149,151,149,148,149,152,151,148,144,138,132,131,135,140,141,143,148,151,147,138,123,109,102,99,96,93,90,90,90,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,87,88,89,92,94,96,98,97,95,96,100,106,108,105,98,89,87,94,104,108,105,100,103,107,106,100,95,95,95,92,91,92,94,97,98,99,99,101,102,102,98,95,96,100,103,103,101,98,94,93,94,95,97,100,101,100,97,96,94,92,90,91,94,96,97,96,95,95,94,93,91,91,90,89,88,88,88,88,87,88,88,88,88,88,87,87,87,87,87,87,87,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,87,87,87,87,87,88,87,87,88,87,87,87,87,88,88,88,88,87,87,87,87,88,88,88,88,88,88,88,88,87,88,88,88,88,88,88,88,88,87,87,87,87,87,88,88,88,87,87,87,87,88,88,88,88,87,87,88,88,88,87,87,87,88,89,90,90,90,89,88,88,88,88,89,88,88,89,87,87,89,91,93,95,98,101,103,105,106,108,109,108,106,107,107,105,105,107,107,106,105,103,102,100,99,99,100,101,101,102,103,103,104,106,105,104,102,101,100,101,100,101,103,107,107,103,99,101,107,110,109,108,109,107,105,105,104,101,98,95,93,92,92,93,95,96,98,100,99,97,95,95,99,105,106,103,103,103,102,106,109,110,109,107,106,106,108,110,110,107,102,98,92,91,98,107,111,109,105,103,103,102,99,97,96,97,99,101,101,101,103,105,105,106,107,106,104,103,103,102,101,99,98,97,98,102,104,104,104,104,104,101,99,99,100,102,106,108,108,110,112,109,103,99,103,107,106,101,96,93,94,97,96,93,95,98,104,107,107,104,102,100,95,91,93,100,106,109,107,104,105,108,108,103,96,95,98,101,102,103,105,107,107,107,108,108,108,108,108,108,108,109,110,109,109,110,110,110,109,108,108,108,109,110,110,110,109,108,107,107,107,108,106,104,104,null],[127,128,129,125,121,120,122,122,119,121,128,131,129,127,129,135,138,141,145,143,139,137,135,134,136,135,129,125,126,130,136,142,140,134,134,130,128,133,136,132,127,126,129,135,140,145,147,144,136,133,137,144,145,136,125,122,127,134,139,139,136,134,137,140,143,147,149,150,151,150,150,150,147,143,138,136,138,138,136,136,139,145,149,145,132,117,106,100,98,97,94,90,89,88,88,88,87,87,88,88,88,87,87,88,88,87,87,88,88,88,89,90,92,94,97,99,97,94,97,102,107,108,103,96,90,89,97,107,110,104,101,107,110,105,98,94,95,95,91,90,92,95,98,99,99,100,102,104,102,97,94,96,100,103,102,99,95,94,94,95,97,99,102,102,100,98,95,93,90,89,91,94,96,97,96,95,95,96,95,94,93,92,91,90,90,89,88,87,87,87,87,87,87,88,88,87,88,88,88,88,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,88,88,88,88,88,87,87,88,87,88,88,88,87,87,87,87,87,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,87,87,87,88,88,87,87,88,87,87,87,88,88,87,87,88,88,88,88,88,89,90,92,91,89,88,86,87,88,88,88,88,88,88,89,92,94,97,100,103,103,104,106,105,104,104,106,106,106,105,104,105,107,107,106,103,102,101,100,98,99,100,102,103,102,102,103,104,105,103,101,100,100,100,100,100,101,105,107,106,101,98,103,109,110,108,106,107,107,106,106,107,106,102,98,95,94,93,94,95,97,98,100,99,96,94,93,95,100,101,99,102,102,100,100,103,103,104,105,104,104,108,110,107,102,97,95,95,97,100,105,106,105,103,102,102,102,101,101,102,102,101,102,104,105,105,103,103,104,105,103,102,103,103,103,102,102,101,100,101,103,105,105,104,101,99,100,105,110,112,112,112,112,109,109,109,105,103,103,104,105,105,103,99,94,95,99,97,93,95,98,104,106,106,104,101,98,94,91,94,101,108,109,106,103,106,108,104,98,95,97,99,101,103,106,108,109,108,108,108,108,108,108,108,108,109,110,110,110,110,110,109,108,108,109,109,109,110,110,110,109,108,108,107,106,106,106,106,105,105,null],[133,132,128,123,118,117,119,122,124,126,128,127,126,131,134,135,137,141,146,147,144,140,136,133,135,135,129,125,126,127,133,138,140,138,135,129,127,133,139,134,128,124,128,132,136,139,143,148,143,133,135,139,137,129,122,122,131,142,144,141,139,138,139,141,143,145,147,149,152,151,148,149,148,145,141,140,144,144,138,134,137,143,145,140,126,112,104,98,95,95,93,91,89,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,89,90,92,92,94,97,99,97,94,98,105,108,107,101,95,91,94,103,110,109,104,103,107,108,102,96,94,95,94,91,91,94,97,99,100,99,98,100,104,103,97,94,96,99,100,97,95,93,94,96,97,99,101,102,103,101,98,95,91,90,89,91,94,95,96,94,94,96,97,95,93,93,94,94,93,92,90,88,87,87,86,86,87,87,88,88,87,88,88,88,88,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,88,88,88,88,88,87,87,88,87,88,88,88,87,87,87,87,87,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,87,87,87,88,88,87,87,88,87,87,87,88,88,87,87,88,88,88,88,89,90,91,91,90,88,87,86,88,90,90,90,91,91,91,93,96,99,101,105,105,104,104,104,102,101,102,103,105,105,104,105,106,107,107,105,103,103,102,100,98,98,100,101,103,103,103,103,103,103,102,99,98,99,100,101,102,104,106,106,102,100,101,106,109,108,106,104,103,105,106,107,107,107,104,101,99,97,95,94,95,97,98,100,99,98,97,96,96,98,97,96,99,101,100,100,101,101,102,103,101,101,103,104,102,97,95,98,100,102,101,101,103,103,103,103,103,102,103,104,105,102,99,101,104,105,104,102,103,104,103,102,102,103,104,104,104,103,103,103,103,104,105,104,101,97,97,100,109,117,115,106,103,105,110,111,108,106,106,107,105,103,104,104,100,95,94,98,98,94,95,98,103,105,105,104,102,99,95,93,96,104,109,108,104,103,105,105,99,96,97,99,100,101,104,107,110,111,110,109,108,108,107,108,108,108,109,110,110,110,109,109,109,108,109,110,110,110,110,110,109,108,108,108,107,107,107,106,106,106,106,null],[130,130,123,116,114,115,118,122,128,131,129,126,130,139,140,136,135,141,150,154,151,142,134,131,134,135,129,126,127,129,132,137,143,143,137,132,132,134,133,129,126,126,127,128,128,128,133,141,141,134,130,129,128,127,126,127,133,140,140,138,140,142,143,143,143,146,147,148,151,151,149,150,149,146,141,140,147,149,143,137,136,139,139,130,117,107,100,95,92,93,92,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,90,92,91,92,93,94,96,98,97,97,101,106,108,105,99,94,94,100,108,109,104,101,103,104,103,99,95,94,95,93,90,91,96,100,102,100,97,96,98,103,104,98,95,97,98,96,94,92,93,95,97,98,99,101,102,103,101,98,95,91,89,90,92,95,96,94,92,93,95,95,93,93,95,97,99,100,98,93,90,88,87,87,86,87,87,88,88,87,87,87,87,87,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,87,87,87,87,87,88,88,87,88,87,87,87,88,88,88,88,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,88,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,88,88,88,89,89,89,92,93,92,90,88,86,87,90,93,92,92,94,95,96,98,102,106,109,108,106,104,104,103,101,100,101,103,103,104,105,105,106,108,107,106,104,104,102,99,98,99,101,101,102,104,105,103,102,102,101,99,98,98,100,103,106,108,107,103,99,100,104,107,107,106,104,102,101,102,104,106,106,106,107,107,104,100,97,95,95,97,98,100,100,100,100,101,101,100,98,96,96,98,101,101,102,104,106,104,102,99,98,98,97,96,98,102,105,104,102,102,104,105,105,105,104,103,103,103,101,98,97,100,102,102,102,103,105,104,102,102,104,105,105,105,103,103,104,104,104,104,103,100,95,93,96,102,109,113,106,94,93,101,111,114,110,108,108,108,106,104,104,104,101,95,92,96,97,95,94,97,103,106,105,104,104,102,98,96,99,105,108,106,103,102,102,100,97,96,98,99,101,103,105,107,110,111,110,109,108,107,107,107,108,108,109,110,110,109,108,108,109,110,111,111,110,110,110,109,108,107,108,109,108,108,108,108,108,107,106,null],[121,125,120,113,112,117,116,115,122,127,127,125,129,138,141,137,133,138,148,157,154,143,133,130,136,139,132,125,125,131,139,142,147,147,143,141,141,139,134,129,128,128,127,126,126,121,119,123,128,128,126,126,129,133,132,131,129,132,133,136,139,141,140,140,142,145,147,150,152,152,150,152,150,141,136,139,149,151,143,137,135,132,126,116,107,101,96,93,90,88,88,88,88,87,87,88,88,87,87,88,88,87,87,87,87,87,88,89,92,95,95,94,95,96,96,95,96,98,102,107,108,104,97,93,97,105,108,104,98,97,101,103,101,97,95,96,94,91,91,94,99,102,103,103,99,96,98,103,104,99,96,97,97,97,96,95,94,95,97,99,100,102,103,101,98,97,95,91,90,92,95,97,96,93,92,91,93,93,92,93,97,101,102,101,99,96,94,90,89,88,87,87,87,88,88,87,87,87,87,87,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,87,87,87,87,87,88,88,87,88,87,87,87,88,88,88,88,87,87,88,87,87,88,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,88,88,88,88,88,88,88,88,87,88,88,88,88,87,87,88,88,88,88,89,89,91,91,90,90,89,88,88,89,90,91,92,95,97,99,101,103,106,108,110,109,108,105,103,103,103,103,102,102,102,103,102,103,105,107,107,106,105,103,101,98,98,100,102,102,103,105,104,103,102,102,101,99,97,98,102,105,108,109,105,100,98,101,105,107,106,104,102,101,101,101,101,104,105,105,107,109,107,102,97,96,97,97,99,101,101,101,102,102,102,101,100,99,96,95,96,97,99,104,108,108,106,103,100,100,101,101,103,107,109,108,106,105,105,106,106,106,105,103,102,99,96,96,99,103,103,101,101,103,104,103,102,103,105,105,104,103,102,103,105,106,105,101,97,93,90,90,95,105,109,104,96,92,98,107,112,112,108,106,106,106,106,106,106,106,104,96,92,95,97,95,93,97,105,108,105,102,102,103,99,96,99,104,107,106,102,99,99,98,97,96,97,99,100,101,104,108,110,110,110,108,107,108,108,107,107,106,107,109,109,108,108,108,110,111,111,111,110,109,109,110,109,108,109,109,108,108,108,108,108,108,106,null],[117,121,118,112,115,123,119,112,116,122,126,125,126,132,136,138,137,139,147,155,155,145,134,130,137,143,137,127,123,133,143,146,147,147,149,148,146,143,138,132,130,129,127,127,128,121,113,111,117,125,127,130,136,141,141,137,133,131,130,132,134,135,136,137,140,142,144,146,147,147,147,149,144,134,129,135,147,151,144,136,130,122,113,104,99,97,94,91,89,88,87,87,87,88,88,87,87,88,88,87,87,88,88,88,88,88,89,91,94,96,97,97,97,98,96,95,94,96,102,107,109,103,95,92,98,105,104,98,95,97,102,102,100,96,97,98,95,92,92,94,98,101,103,103,99,97,99,103,104,100,97,97,99,100,101,97,94,94,96,99,101,103,103,101,97,96,95,92,92,95,98,98,96,93,92,91,91,92,93,95,99,102,102,100,97,96,95,93,91,89,88,88,87,87,87,88,88,88,88,88,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,88,87,87,87,88,87,87,87,87,88,88,87,88,87,87,88,88,87,87,87,87,87,87,88,87,87,87,87,87,87,87,88,88,87,87,87,87,87,88,87,87,88,88,87,87,87,87,87,87,88,88,89,89,89,89,89,88,88,88,89,89,90,91,93,94,96,98,100,103,105,106,108,108,106,107,107,105,103,104,105,105,102,101,102,101,100,101,103,106,105,105,104,102,99,97,99,102,104,105,105,105,104,102,101,101,100,98,98,100,104,107,109,107,101,97,98,102,106,108,107,105,102,102,103,101,100,101,102,103,105,107,110,107,102,98,97,97,99,101,101,101,102,101,101,101,102,102,99,96,95,95,97,101,105,108,107,104,102,103,104,103,103,106,108,108,105,103,102,102,102,102,102,101,98,96,94,96,101,105,105,103,103,104,103,102,102,104,105,105,103,102,102,103,105,105,102,96,90,87,87,91,97,104,103,96,92,100,108,114,111,108,106,104,103,103,106,108,107,108,105,96,92,95,97,95,94,98,105,109,107,101,100,102,98,95,97,102,105,105,103,100,99,98,98,97,97,98,99,100,104,108,109,108,108,107,107,108,108,108,107,106,107,109,109,108,108,109,111,111,111,111,111,110,109,110,110,110,109,109,108,108,108,108,108,108,107,null],[119,119,114,112,119,129,125,116,117,123,128,129,127,126,131,138,144,148,151,153,153,146,137,132,135,141,141,132,124,131,139,142,142,144,148,147,141,141,139,134,131,130,128,131,132,128,119,114,119,128,134,137,140,144,147,145,143,140,134,131,131,133,134,136,137,137,138,139,138,139,139,139,136,130,126,130,142,148,142,131,120,111,104,98,94,92,91,90,89,87,87,87,88,88,88,88,87,87,88,88,88,87,87,88,88,89,90,92,94,96,98,99,98,98,97,94,93,94,100,107,109,102,93,94,100,104,101,97,98,101,103,101,98,96,98,99,96,92,91,91,96,101,102,100,98,99,101,103,103,100,98,98,101,103,100,95,91,93,97,100,102,103,104,102,99,97,95,93,95,98,99,98,96,93,92,93,93,94,97,99,99,100,100,98,97,96,97,97,96,93,90,89,88,87,87,88,88,89,88,88,88,87,87,88,88,89,89,89,89,89,89,89,90,90,89,88,88,88,88,88,88,88,88,87,87,88,87,87,88,88,87,87,87,87,88,88,87,88,87,87,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,87,87,88,88,87,87,87,87,87,87,88,88,89,90,90,89,88,88,89,88,88,90,92,95,97,99,102,103,104,104,104,106,110,108,104,104,105,104,104,105,106,104,100,100,102,101,99,100,102,103,103,104,103,101,98,97,99,103,105,107,105,104,103,102,100,98,98,98,99,101,105,108,108,103,98,96,99,104,108,110,109,105,103,104,103,102,100,99,99,101,102,104,108,110,106,102,98,98,100,102,101,100,101,101,101,100,101,102,102,101,99,99,98,98,99,102,102,100,99,100,100,99,98,100,102,102,99,97,97,96,96,98,99,98,96,97,99,98,99,102,104,103,105,106,104,103,103,103,104,104,104,103,103,103,103,99,95,90,87,86,88,94,99,99,96,93,99,109,113,110,108,106,105,103,102,102,105,108,107,106,104,96,92,95,97,97,95,97,103,108,107,102,100,100,97,94,96,100,102,102,103,104,102,99,99,100,99,97,98,101,106,108,109,107,106,106,107,107,108,109,108,108,109,110,110,108,107,110,112,112,111,112,113,112,110,108,109,110,109,108,108,108,108,108,107,107,108,null],[116,112,109,116,127,134,129,120,120,126,132,136,133,129,130,139,149,154,153,151,147,141,135,133,134,138,142,136,127,126,131,134,136,138,141,141,139,138,137,134,132,130,131,134,137,135,128,120,120,130,136,139,140,140,143,147,148,143,137,135,135,136,136,135,133,133,137,141,143,139,135,134,135,134,128,128,136,141,135,122,110,102,97,94,92,91,90,90,89,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,90,91,93,95,98,100,99,98,96,94,94,93,94,100,108,109,100,93,97,102,103,100,99,101,103,103,102,99,97,98,98,96,92,90,91,96,102,102,99,99,101,103,105,103,100,98,99,102,103,99,94,94,97,99,100,102,103,103,101,99,98,98,98,100,101,99,96,94,93,94,96,98,99,100,100,99,100,100,98,98,99,100,99,97,94,92,90,89,88,88,88,88,89,89,89,88,88,87,88,88,89,89,90,90,90,90,91,91,92,91,90,89,89,89,89,88,88,88,87,87,88,87,87,88,88,88,88,88,88,87,87,88,87,88,88,87,87,88,88,88,88,88,88,87,87,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,88,88,89,88,87,87,87,88,89,90,93,96,98,101,102,104,103,102,102,103,106,108,106,103,104,106,105,105,106,106,103,99,100,102,100,98,100,102,103,102,102,102,101,99,98,101,105,107,106,104,102,101,100,98,97,98,98,99,102,106,107,104,99,97,97,101,105,108,109,107,105,104,104,103,103,103,101,101,101,102,104,107,109,109,106,100,97,99,102,102,100,100,101,102,101,100,101,102,103,101,100,99,96,96,98,98,97,96,96,97,96,96,97,99,99,96,95,97,97,97,100,101,100,100,101,102,100,98,102,103,102,105,108,105,105,105,103,102,104,106,106,103,99,96,91,88,86,88,91,95,97,95,92,94,101,109,112,109,105,106,107,106,101,99,100,103,105,106,105,102,95,92,95,98,97,96,97,101,106,107,104,101,99,94,93,97,101,103,101,103,108,104,100,101,101,99,97,99,104,107,107,107,107,107,107,108,107,108,108,109,108,108,109,109,107,108,110,112,112,111,111,112,112,110,108,108,109,110,109,108,108,108,109,108,107,109,null],[111,108,111,123,134,135,127,120,122,129,137,144,141,135,135,143,150,152,150,146,141,135,134,137,137,138,141,137,129,125,125,129,132,136,136,139,142,138,135,135,134,132,134,137,139,141,134,122,120,129,135,138,139,137,139,145,146,141,141,141,140,139,138,135,132,133,142,151,152,144,136,136,140,139,132,127,131,131,122,111,102,95,92,92,92,91,90,90,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,91,92,95,98,101,102,100,95,93,92,93,93,95,103,109,108,100,95,99,103,104,104,103,103,103,102,102,100,97,97,97,95,91,91,94,100,104,103,100,100,103,105,106,104,101,99,100,102,102,98,96,98,101,101,100,100,102,101,99,98,98,100,104,105,103,99,95,93,93,95,98,101,101,100,99,100,103,103,100,99,102,102,101,99,96,94,93,90,89,88,88,88,89,90,89,88,88,88,88,88,90,92,93,93,92,92,94,94,93,93,92,91,91,91,90,89,88,88,87,87,88,87,87,87,88,88,88,88,88,87,87,88,87,88,88,87,87,88,88,88,88,88,88,87,87,88,88,88,88,88,88,87,87,88,88,88,88,88,87,88,88,87,87,88,88,88,88,88,88,88,88,88,88,87,88,89,90,92,94,95,97,100,102,104,105,104,103,101,102,104,106,104,103,103,106,106,105,105,106,107,104,99,99,101,100,98,99,102,104,103,101,101,101,101,101,103,105,105,104,103,101,99,99,99,99,99,100,101,103,104,103,100,98,98,100,103,106,108,107,105,104,104,103,102,103,104,104,103,102,103,104,106,109,110,108,103,99,100,102,103,101,99,100,102,101,100,100,102,103,100,99,99,98,97,97,98,98,96,95,96,96,96,98,99,99,97,98,100,101,102,103,103,103,104,104,104,101,101,104,104,101,104,106,104,105,106,103,102,104,106,104,98,93,89,86,85,87,92,97,99,95,91,92,100,110,114,109,104,103,105,107,104,99,97,101,102,102,105,104,100,94,92,95,97,97,96,97,101,105,106,105,103,99,94,92,97,103,105,103,104,108,106,102,101,100,98,98,102,107,108,107,106,107,109,109,108,108,108,108,108,108,107,107,108,108,109,110,111,111,111,110,110,110,110,108,108,108,110,110,108,108,108,109,109,108,108,null],[111,112,121,132,136,131,123,119,120,128,137,145,144,137,138,147,150,148,144,139,137,139,142,143,141,140,142,135,126,127,129,128,133,139,139,143,146,141,138,141,139,136,136,139,141,142,137,126,124,130,134,137,141,143,144,147,145,142,145,144,139,135,137,138,138,142,150,155,151,143,139,141,143,138,130,123,121,117,109,102,96,92,91,91,91,90,88,88,88,87,87,88,88,87,87,87,87,87,88,88,87,87,87,88,90,93,97,98,100,102,103,98,93,93,95,94,93,97,105,109,106,100,96,99,104,105,105,103,102,100,100,101,98,96,98,98,96,92,91,97,104,106,104,101,101,102,102,106,107,104,101,100,100,99,97,98,102,104,102,100,99,100,101,101,98,96,99,104,106,102,97,93,92,94,96,100,102,101,99,99,103,106,105,102,100,102,103,102,99,98,97,96,94,91,89,89,88,88,88,88,88,88,87,87,87,88,90,93,94,94,94,95,96,96,95,94,94,95,94,92,90,89,88,87,87,88,88,88,88,88,88,87,87,87,88,88,87,88,87,87,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,88,88,87,87,88,88,89,89,88,89,88,88,88,89,88,89,90,93,96,100,104,106,105,104,105,106,105,104,102,102,104,106,103,102,104,105,105,104,106,108,106,102,99,99,101,100,98,99,101,102,102,102,101,101,102,103,104,105,104,104,103,101,99,100,101,101,100,102,105,104,101,99,97,98,99,101,104,107,107,105,103,103,104,103,103,103,104,103,101,101,101,103,105,108,110,109,107,103,103,104,104,102,100,99,98,98,99,101,103,105,102,99,99,99,98,98,98,98,97,97,97,96,97,99,98,97,97,98,99,100,100,100,100,100,101,104,105,104,104,106,106,103,102,101,100,101,103,104,104,103,100,97,92,90,91,91,92,95,99,98,94,91,94,100,108,111,110,106,105,106,106,103,98,97,101,105,103,101,104,103,97,92,92,96,97,95,94,97,101,104,105,104,103,101,96,93,97,102,105,104,104,107,106,103,102,99,98,101,106,108,109,108,108,108,109,108,107,109,110,109,108,107,107,108,109,110,109,109,109,110,110,110,109,109,109,110,109,109,109,109,108,109,109,108,107,107,107,null],[116,119,127,132,132,130,125,122,122,126,132,141,145,143,145,151,151,147,142,137,138,145,147,143,143,145,142,133,126,132,134,130,132,138,141,147,151,148,145,144,141,136,134,137,141,143,138,128,125,129,132,136,142,147,152,151,147,144,148,147,136,130,133,140,146,150,154,152,146,141,140,143,143,135,125,117,113,108,102,98,95,92,90,90,91,90,88,88,87,88,87,87,87,88,88,87,87,88,88,87,87,88,88,89,91,95,101,101,101,103,102,97,93,95,97,93,92,98,106,110,106,100,97,99,103,104,105,102,98,96,97,97,95,96,99,100,97,92,91,99,105,105,102,101,99,98,99,103,106,103,100,100,99,98,98,100,102,103,101,99,98,100,101,100,97,94,97,102,103,100,96,93,92,94,98,100,101,100,98,100,104,106,104,103,102,101,101,100,99,99,99,98,96,93,92,90,89,88,87,89,89,88,88,88,87,87,89,91,94,95,95,96,96,96,96,95,96,96,95,93,90,89,88,87,87,88,88,88,88,88,87,87,87,87,88,88,87,88,87,87,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,88,88,87,87,88,88,89,89,88,88,89,89,90,91,90,91,94,97,100,104,107,106,105,104,103,104,105,105,104,102,103,105,104,104,105,104,103,104,107,109,105,100,100,101,101,100,99,99,99,100,101,103,102,101,102,104,104,103,102,103,104,102,100,101,102,101,102,104,105,102,97,96,96,98,101,103,104,105,106,104,103,103,104,104,103,103,102,101,100,100,100,102,105,108,108,109,109,107,105,103,103,103,102,99,97,96,98,101,104,106,103,101,101,100,99,100,100,100,99,98,97,97,98,99,98,96,96,96,97,97,96,97,97,97,98,100,102,102,102,103,103,102,98,96,95,97,98,99,99,97,94,93,92,95,99,100,100,102,100,96,94,97,103,109,111,107,105,106,108,107,103,97,95,98,103,106,103,100,102,100,95,91,92,96,97,95,95,96,99,102,103,103,104,102,97,93,95,100,104,104,105,107,106,102,99,99,102,107,110,110,109,109,108,108,109,107,107,109,110,109,107,107,108,110,111,111,110,109,109,109,109,109,109,109,109,110,110,109,109,108,108,110,110,108,107,107,107,null],[123,122,126,127,129,133,132,129,130,128,128,137,147,151,152,153,153,150,146,142,142,148,146,140,145,148,141,132,129,136,138,133,129,132,138,146,151,153,150,145,139,134,133,136,140,144,140,131,126,125,128,132,138,147,153,155,151,145,149,148,135,126,129,138,146,149,147,145,145,143,141,141,139,133,122,112,107,104,100,97,94,91,89,89,88,88,88,87,87,88,88,87,87,88,88,88,88,87,87,87,88,88,88,89,91,97,101,101,103,104,101,97,95,97,97,91,91,99,107,110,106,100,98,100,102,102,102,99,95,93,93,93,92,95,99,101,97,91,92,98,103,101,99,99,97,95,96,101,103,101,99,100,99,98,99,100,100,100,99,98,98,99,99,97,95,95,98,101,101,98,96,94,93,96,100,101,101,100,99,101,103,103,102,102,103,102,101,100,98,96,96,97,97,95,94,92,90,89,88,89,90,90,89,88,88,88,89,91,92,94,95,95,95,95,94,94,94,94,93,92,91,89,88,87,87,88,87,87,87,87,88,88,88,88,87,87,88,87,88,88,87,87,88,88,88,88,88,88,87,87,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,88,88,87,88,88,89,88,88,88,88,89,91,92,93,95,97,101,104,105,104,104,104,104,103,103,104,105,104,102,102,103,105,105,104,104,104,104,107,108,103,98,99,101,101,100,99,98,98,99,100,102,103,102,103,105,105,102,101,102,102,102,102,103,102,102,103,105,103,99,96,94,94,96,101,104,103,103,102,101,102,103,103,103,103,102,101,100,100,101,101,101,104,106,106,108,109,108,105,102,102,103,102,100,98,97,97,98,102,106,105,104,102,99,99,101,102,102,100,99,98,98,99,99,98,96,94,95,97,96,95,97,97,97,97,97,96,95,94,95,97,97,95,93,94,96,96,94,92,92,94,97,99,102,106,107,105,102,98,98,103,109,112,111,107,104,105,108,108,103,97,95,98,101,102,102,99,97,99,98,94,92,94,97,99,98,96,96,97,100,102,102,103,102,98,94,96,100,104,105,105,106,104,100,97,102,108,113,113,111,109,108,106,107,108,108,107,108,108,107,107,107,110,111,111,110,110,109,109,109,109,109,109,109,109,110,110,110,109,108,108,109,110,109,108,108,108,null],[126,123,124,125,130,137,138,136,137,133,128,133,144,152,154,152,152,150,145,143,144,146,146,144,148,147,138,130,130,136,141,137,132,129,134,141,147,151,153,149,142,138,140,142,140,142,141,135,128,125,123,127,137,142,146,152,152,147,146,143,135,131,132,136,137,136,135,138,144,145,143,141,138,133,121,107,103,102,99,96,93,90,88,89,88,88,88,87,87,88,88,87,87,87,88,88,88,87,87,88,88,88,90,90,92,95,99,103,106,105,100,98,100,100,94,89,92,100,108,108,103,99,99,102,104,103,100,96,93,92,91,91,93,95,99,99,96,92,93,98,101,98,97,97,97,96,97,100,103,101,100,99,99,100,101,100,99,98,98,99,100,99,98,97,97,99,102,102,100,98,96,94,93,97,102,103,102,101,100,101,102,101,101,103,104,103,102,101,98,95,94,96,97,96,95,94,92,90,89,88,88,88,89,90,89,89,89,89,90,92,94,95,95,95,94,93,91,90,90,91,91,89,88,87,87,87,87,87,87,87,88,88,88,88,87,87,88,87,88,89,89,88,88,89,89,90,90,89,87,87,88,88,87,88,88,88,87,87,88,88,88,88,88,88,88,88,88,88,89,89,88,87,88,89,90,92,94,95,99,101,102,103,105,106,105,103,104,104,103,102,103,103,102,101,101,102,104,104,103,103,104,105,107,107,102,96,97,99,100,99,97,98,99,100,100,101,102,104,106,105,103,101,102,101,101,101,102,103,104,105,105,104,99,97,95,94,92,94,99,104,104,102,99,98,100,102,102,101,102,102,102,102,102,102,101,102,103,104,106,108,109,109,106,103,100,100,100,102,102,99,96,95,98,102,106,104,101,98,98,101,103,103,102,100,100,99,99,100,100,98,96,96,97,96,95,97,97,95,96,94,92,89,90,91,94,95,95,96,99,101,100,97,96,97,100,103,105,106,106,105,103,103,104,106,113,116,112,109,106,105,108,109,104,97,94,96,101,103,101,98,97,97,98,96,93,93,96,99,100,100,98,96,97,100,101,99,98,99,98,98,100,102,103,105,106,106,103,100,101,107,112,114,112,110,109,108,106,106,107,107,108,108,108,107,107,108,109,110,110,111,110,110,110,110,110,109,108,108,109,109,110,110,109,109,109,109,109,110,109,108,107,null],[125,123,123,126,132,137,137,136,138,137,135,137,142,149,151,151,151,148,143,143,145,145,147,150,151,145,134,127,129,136,144,144,137,131,130,135,141,146,148,149,145,143,148,147,141,140,142,139,135,128,122,127,138,140,140,148,151,147,142,138,137,139,139,135,130,127,131,139,146,146,143,142,141,135,119,104,100,101,99,95,92,89,88,89,87,88,88,88,88,87,87,88,88,87,87,87,87,87,88,88,89,89,90,90,92,94,99,105,109,106,100,98,101,99,93,90,94,103,108,105,99,97,100,103,105,104,100,96,93,91,90,92,93,95,98,98,95,93,95,99,101,99,98,97,98,99,99,101,103,102,100,100,102,103,101,98,97,97,99,101,100,98,97,97,99,102,103,103,100,98,96,94,93,98,103,104,102,100,99,99,100,101,101,102,103,103,104,103,100,96,94,96,97,97,96,95,93,91,89,88,87,87,89,90,90,90,89,89,89,90,92,94,95,94,93,91,89,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,88,88,87,87,88,89,89,88,88,89,90,90,90,89,87,87,88,87,87,87,87,87,88,88,87,87,87,87,87,87,87,87,87,88,88,89,88,88,89,90,93,95,97,99,102,103,103,104,105,106,105,103,104,104,103,102,103,102,101,101,102,103,104,103,101,101,103,105,107,107,101,96,96,98,98,97,96,97,100,101,100,100,102,105,106,104,102,103,104,102,101,100,101,103,104,106,105,101,98,96,95,93,92,94,100,104,104,102,99,97,98,100,101,101,102,103,103,103,103,102,102,102,103,104,106,108,109,109,107,104,102,100,99,102,104,102,98,95,97,101,104,102,97,94,96,99,101,101,101,101,101,99,99,101,100,99,98,99,99,97,97,99,97,95,97,96,92,91,93,93,94,96,98,101,104,104,103,102,102,104,105,105,105,104,102,102,103,107,111,115,117,113,108,106,108,108,109,106,96,90,95,101,104,104,99,95,97,100,99,94,92,94,98,100,101,101,99,98,100,100,99,95,94,97,100,103,105,104,103,105,106,104,103,105,108,111,111,111,110,109,108,108,107,106,106,107,109,109,108,107,107,108,108,108,109,111,111,110,110,110,110,109,108,108,108,109,110,110,109,109,109,109,109,109,108,107,106,null],[122,125,127,128,130,132,131,129,133,139,144,145,146,148,150,152,153,149,144,145,148,148,149,152,153,145,134,127,130,138,147,147,142,134,130,131,135,138,140,141,142,145,151,149,143,140,141,144,142,135,129,132,141,145,144,147,149,146,142,139,139,142,142,138,133,132,138,145,148,145,141,141,140,133,117,102,98,99,97,92,88,88,89,87,87,88,88,87,87,88,87,87,88,88,87,87,87,88,88,89,90,90,90,92,94,95,99,105,109,106,100,96,96,95,92,91,95,104,108,105,98,98,102,104,104,103,100,97,94,92,91,92,93,94,98,99,95,94,97,101,102,101,100,99,100,98,98,102,104,102,101,101,102,101,98,95,94,96,98,99,99,98,97,96,98,100,102,102,100,98,96,95,95,99,104,104,102,99,98,99,101,102,101,101,101,101,103,103,103,100,98,98,99,98,97,96,94,92,89,88,87,87,88,90,91,90,89,89,90,89,91,93,93,92,91,90,89,89,88,88,87,88,88,88,88,88,88,88,88,88,87,87,87,87,88,88,87,87,88,88,88,88,89,90,90,89,89,88,87,87,87,87,87,87,87,87,88,88,87,87,87,86,87,87,88,89,89,88,88,89,90,90,92,93,95,98,101,103,103,102,103,105,107,105,102,101,102,103,102,102,104,103,101,101,103,106,106,103,100,100,103,106,108,106,101,99,101,100,98,96,96,97,99,101,101,102,104,105,104,102,103,105,104,102,100,100,101,103,105,105,102,100,98,97,95,93,94,99,103,104,103,102,101,99,99,101,102,103,103,103,102,103,103,102,102,103,103,103,104,107,109,108,107,107,107,104,101,102,105,105,102,100,101,103,101,96,92,91,94,96,96,96,98,100,100,99,100,101,99,96,96,98,100,99,98,100,99,98,100,100,97,98,98,97,97,98,101,103,102,101,102,102,103,105,105,104,102,102,104,107,110,113,115,115,113,109,106,107,109,109,105,98,89,89,97,105,106,102,96,93,99,103,99,94,94,97,100,100,100,100,100,101,102,100,96,95,96,99,104,107,107,105,105,106,103,101,105,111,113,111,108,108,109,108,108,107,108,107,106,107,109,109,107,105,105,106,107,108,109,110,110,109,109,109,109,109,108,108,108,108,109,110,110,109,108,109,109,109,108,107,106,null],[120,124,126,126,126,127,125,125,128,139,150,152,149,149,152,155,156,151,145,147,151,151,152,154,152,146,137,132,131,137,142,144,144,139,133,130,131,134,137,136,138,142,148,151,150,146,144,146,146,143,137,134,139,146,150,150,148,145,143,141,138,142,145,142,137,136,140,144,145,139,134,135,134,126,113,100,96,96,94,90,87,88,89,87,87,88,88,87,87,88,88,87,87,88,88,88,88,88,89,90,91,93,92,92,94,96,101,106,107,104,99,96,94,93,91,90,95,104,108,105,97,98,103,104,103,102,100,98,95,94,93,93,93,94,98,99,95,94,98,102,103,103,102,100,98,97,97,102,105,103,101,101,99,97,95,93,94,98,98,97,98,98,97,96,98,100,102,102,100,98,97,96,96,100,103,104,101,99,99,101,103,102,101,100,100,100,102,103,104,102,100,100,99,98,97,96,94,92,90,88,87,87,88,89,90,91,90,90,91,91,91,91,90,89,90,90,90,89,89,88,89,88,88,89,89,89,89,89,89,88,87,87,87,87,87,88,87,87,87,88,87,88,90,91,90,90,89,88,87,88,88,88,88,88,88,87,88,88,87,87,86,86,87,88,89,91,91,90,90,91,93,94,96,97,98,101,103,104,102,101,103,106,106,104,101,101,102,102,101,102,104,103,101,101,104,108,108,104,100,98,101,106,108,105,101,101,102,101,97,96,97,98,99,101,102,103,105,104,103,103,105,107,104,102,101,101,102,103,104,102,99,98,99,98,96,94,97,102,105,105,103,102,103,101,100,102,103,103,103,102,102,103,103,103,103,104,105,105,105,107,108,107,106,108,110,108,104,101,102,105,107,105,106,103,98,93,90,88,90,93,92,92,95,97,98,99,99,97,95,93,93,94,96,95,93,95,97,99,101,101,101,101,101,100,100,101,102,103,101,100,101,103,106,107,106,105,104,105,107,111,114,113,112,111,107,105,105,108,108,104,97,92,91,95,101,106,105,97,92,95,102,105,99,96,97,100,101,100,101,103,104,104,102,97,94,97,102,104,105,105,105,106,105,102,99,100,107,113,114,111,109,108,108,108,107,106,107,107,106,106,108,108,107,105,104,105,107,109,109,110,110,109,109,109,109,109,108,107,107,108,109,110,110,108,107,108,108,108,107,107,107,null],[122,123,123,123,123,126,128,130,133,139,147,149,149,150,153,156,157,152,146,148,152,152,153,154,150,145,142,138,135,132,135,139,143,143,137,132,130,134,139,139,137,139,143,150,156,153,148,147,150,149,144,136,134,141,150,151,148,145,144,140,134,138,146,145,139,134,133,135,136,133,128,126,122,114,106,99,95,92,91,89,88,88,88,87,87,88,88,87,87,88,88,88,87,87,88,88,88,89,90,91,93,95,96,95,94,97,102,107,107,103,98,96,95,92,89,88,94,103,108,104,97,97,103,104,103,101,99,98,97,95,94,93,93,94,97,98,95,95,99,100,101,102,101,99,96,95,97,100,103,104,103,101,97,94,93,95,97,99,99,98,99,100,99,98,99,100,101,102,100,97,96,96,96,98,101,103,100,97,100,104,104,101,99,99,100,101,103,104,103,102,101,101,99,98,97,96,94,92,91,90,88,88,88,88,88,89,91,91,92,92,91,89,88,88,89,90,90,89,89,90,92,92,90,89,89,90,90,90,90,89,88,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,89,90,89,89,89,89,90,91,91,94,96,98,100,101,102,102,103,103,101,101,103,106,106,103,101,102,103,102,102,103,104,103,101,101,105,108,108,106,102,99,101,107,108,103,100,100,102,100,97,96,96,97,100,102,102,103,104,103,103,104,105,104,102,101,102,103,104,104,103,99,97,98,99,98,96,96,99,104,106,105,103,102,102,101,102,103,103,102,101,101,102,103,105,105,104,104,106,107,107,108,108,107,107,107,108,109,107,102,99,103,107,107,106,103,95,91,88,87,88,91,92,92,94,96,98,99,97,94,92,92,90,90,90,89,88,88,92,96,97,97,98,98,98,98,100,102,102,102,103,103,104,107,109,110,110,109,110,110,111,113,113,111,109,107,104,104,106,107,104,97,91,92,96,102,105,105,100,92,91,99,104,103,98,97,100,101,100,99,103,106,106,103,99,94,95,100,107,108,104,101,102,104,102,98,98,103,109,111,111,111,111,109,108,108,107,106,107,107,107,107,107,108,107,105,104,105,108,109,109,110,110,109,109,109,110,110,108,106,107,109,110,110,110,108,107,107,107,108,108,108,107,null],[127,125,123,121,122,127,136,142,142,140,140,143,147,149,152,155,155,151,146,149,153,151,151,152,150,147,144,142,136,130,131,139,146,147,142,136,133,134,137,139,142,143,141,144,150,151,151,153,154,151,146,139,136,138,144,147,149,147,144,135,126,132,144,146,140,131,126,126,128,130,127,119,109,102,99,97,93,90,90,90,88,88,88,87,87,88,88,88,88,87,87,88,88,87,87,87,88,89,92,94,93,95,98,97,96,98,103,106,107,104,100,98,96,92,88,88,94,103,106,102,94,96,103,102,100,100,99,98,97,96,96,96,94,94,97,99,95,95,98,99,99,100,99,98,97,97,98,100,102,104,104,102,98,95,95,98,100,101,101,102,101,100,100,99,99,99,100,100,98,96,95,95,96,98,100,102,99,97,100,104,104,100,98,99,100,102,105,105,104,103,102,101,99,98,97,97,96,93,91,93,93,90,89,88,88,88,88,88,88,88,88,88,87,88,90,91,91,91,92,93,95,95,93,92,92,92,92,92,92,90,89,89,88,88,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,89,90,90,90,91,91,92,92,93,96,99,102,102,101,100,100,102,102,101,102,104,106,106,102,101,103,105,104,102,103,105,104,102,103,105,107,107,106,103,101,103,108,107,101,97,99,102,102,99,97,96,99,101,102,101,102,102,101,102,103,105,104,102,100,101,103,106,106,102,98,96,98,99,97,95,99,104,106,106,105,103,102,101,101,101,102,101,101,101,102,103,105,106,106,105,105,107,108,108,109,110,109,107,106,106,108,109,106,102,101,104,107,106,101,92,89,86,85,86,90,92,94,96,97,98,98,96,93,92,91,90,89,88,88,88,87,88,89,90,90,90,90,90,91,95,99,102,104,106,107,108,108,110,112,113,113,113,112,112,111,111,110,108,106,105,106,107,105,100,92,89,92,98,104,106,101,94,92,96,101,102,99,97,98,100,100,99,100,103,104,102,98,94,94,98,102,106,108,105,102,102,100,99,98,102,109,111,110,110,111,111,110,108,108,107,107,108,109,110,109,108,109,108,106,105,105,108,109,110,109,108,108,108,109,109,109,109,108,108,110,110,110,110,109,108,107,108,110,110,109,108,null],[129,126,122,122,125,132,142,149,148,140,132,135,141,144,148,153,152,148,146,149,151,147,147,151,152,150,145,142,137,129,130,139,147,150,147,141,137,135,136,140,146,148,145,141,143,147,152,156,156,153,149,144,139,137,141,146,151,151,143,131,124,129,138,141,137,131,126,124,126,129,124,112,101,95,94,94,91,89,90,90,88,88,88,87,87,88,87,88,88,87,87,88,88,87,87,87,88,90,92,94,93,94,98,99,98,100,103,105,106,104,101,99,96,90,86,89,96,104,106,101,94,97,104,102,99,97,98,97,96,96,97,97,95,95,97,99,95,95,97,98,98,98,99,99,99,98,98,98,100,104,105,103,101,98,98,100,101,103,104,104,102,100,100,99,97,98,99,98,97,96,95,94,95,96,99,103,100,96,99,102,102,99,97,99,100,103,106,106,105,104,104,102,100,99,100,99,96,93,93,97,97,94,93,91,90,89,89,88,88,88,88,88,88,89,90,90,91,92,93,93,95,95,93,93,93,92,92,93,93,91,91,90,90,90,89,88,88,87,88,88,88,88,88,88,87,87,87,88,87,87,87,87,87,87,87,88,88,88,89,90,91,92,93,93,93,94,94,97,98,100,101,103,102,100,98,98,100,100,100,101,103,106,107,104,102,104,106,105,103,103,105,104,103,104,105,105,105,105,104,102,104,108,106,99,96,99,102,103,101,98,97,99,102,103,102,100,100,100,101,103,103,102,101,100,101,104,107,106,102,97,96,98,98,96,97,104,108,107,106,105,103,102,101,101,101,101,101,101,102,103,105,106,107,106,106,106,106,107,108,109,110,109,108,106,105,107,109,110,106,101,101,105,104,100,93,90,86,85,86,89,91,93,94,95,96,97,98,97,96,95,95,95,93,92,92,91,90,89,90,91,90,89,89,91,95,100,104,108,110,110,109,109,110,113,114,113,111,110,108,106,105,105,106,107,107,108,107,102,96,92,92,95,101,104,102,95,92,97,103,103,100,96,97,98,99,99,100,101,101,98,95,93,93,98,102,104,105,107,106,104,102,98,96,100,107,112,112,110,110,110,109,109,109,108,107,107,108,109,109,109,109,109,109,108,107,107,108,110,110,109,108,108,108,107,107,108,109,110,110,110,109,109,110,110,108,107,109,111,111,109,108,null],[124,123,122,125,131,137,141,142,143,138,131,130,134,137,144,150,150,148,149,151,149,143,144,150,153,150,144,139,136,130,128,134,144,150,151,146,141,139,140,142,146,150,151,146,141,145,151,153,154,155,153,148,141,139,144,148,152,153,144,133,128,128,130,131,133,133,130,127,127,124,115,105,98,94,92,90,89,89,90,89,87,87,88,88,88,88,87,87,87,88,88,88,88,87,87,87,90,94,93,92,94,97,100,100,100,103,105,106,105,103,101,98,95,89,86,89,97,106,108,102,97,99,104,104,98,94,96,98,96,96,98,96,94,94,97,98,96,96,97,98,98,100,102,101,99,96,95,97,100,102,103,103,102,101,99,99,101,105,105,103,101,100,101,98,95,96,98,97,96,96,96,96,95,95,99,103,100,95,97,102,102,100,98,98,100,102,104,105,104,103,103,101,101,102,102,98,94,93,96,101,101,98,96,95,93,91,89,89,88,88,88,88,88,89,89,89,90,91,92,92,92,92,92,92,93,93,93,94,94,95,94,93,93,91,89,88,87,87,87,87,87,87,87,87,87,88,88,88,88,87,87,88,88,88,88,89,89,90,91,92,94,95,96,96,97,98,98,101,102,101,100,101,101,100,98,98,99,99,98,99,101,105,107,106,105,103,104,104,104,104,104,103,103,104,105,104,104,104,103,101,102,105,103,99,99,100,102,102,102,101,99,100,103,105,103,101,100,101,102,102,101,101,102,103,104,105,105,103,99,97,97,97,98,100,104,109,111,109,107,105,103,101,101,102,103,103,103,103,104,104,105,107,107,107,107,107,106,106,107,108,108,108,107,106,106,108,110,110,108,104,101,102,101,99,91,87,86,85,85,85,89,89,89,91,94,98,100,100,100,101,102,103,102,99,97,96,95,96,97,99,99,98,97,99,101,103,107,111,112,110,108,108,109,109,109,107,105,103,102,100,98,99,102,106,107,107,103,99,94,92,94,99,105,103,96,92,96,101,104,104,99,96,97,99,99,100,101,101,97,92,91,93,97,102,105,106,106,106,104,103,102,99,97,102,108,111,111,110,110,109,108,108,109,109,107,106,107,107,106,107,108,109,109,109,109,109,110,110,110,109,109,108,107,107,107,109,110,111,111,109,108,108,109,109,107,107,108,110,109,107,107,null],[121,122,125,129,134,139,137,133,133,132,133,134,135,136,141,146,150,151,151,152,149,142,140,146,149,146,138,134,135,134,132,131,136,143,149,151,148,146,145,146,145,147,151,150,144,146,151,151,153,155,152,144,138,139,144,148,151,153,144,133,130,128,127,129,131,134,131,127,123,117,108,102,99,96,93,90,89,89,87,87,87,87,87,88,88,88,88,87,87,88,88,88,87,87,88,89,92,96,94,94,97,101,103,103,103,105,107,106,104,102,100,98,95,89,86,89,99,107,105,100,99,102,105,104,98,94,96,98,96,96,97,94,92,93,96,99,98,97,99,98,98,102,103,101,97,94,94,97,101,102,103,103,103,103,101,100,101,104,104,102,101,101,101,98,95,97,98,97,96,96,96,96,96,97,99,102,99,96,97,103,105,103,99,97,100,103,104,102,101,101,101,100,101,102,101,97,92,93,97,101,101,99,98,99,98,95,92,90,89,89,89,88,88,88,88,88,88,88,89,89,89,89,90,90,91,93,93,93,92,91,92,92,92,92,90,88,87,87,87,87,87,87,87,87,88,88,88,89,89,89,89,90,90,91,91,91,92,93,94,96,98,99,100,99,97,97,98,101,103,103,101,99,99,98,97,97,98,98,98,98,100,103,105,105,104,104,103,104,104,104,103,102,103,106,106,104,105,104,102,100,101,103,104,103,102,101,101,101,102,103,102,101,102,104,102,100,101,102,102,101,100,101,104,106,106,106,104,100,97,96,96,97,98,103,109,109,108,107,106,104,102,101,102,103,104,103,104,105,105,105,105,106,106,106,107,108,106,105,106,107,108,108,107,106,106,107,109,110,110,108,104,99,98,99,92,88,86,85,85,85,86,86,86,86,88,94,96,98,99,101,104,107,107,105,102,100,100,101,103,105,105,103,102,104,104,103,105,108,108,105,103,103,102,101,99,97,95,94,94,95,98,102,103,103,105,104,101,97,94,92,96,100,101,97,94,94,97,99,101,101,98,96,97,98,99,102,103,100,94,90,92,96,100,104,107,107,104,102,101,102,103,103,104,108,111,111,110,110,110,109,108,109,110,110,108,106,105,106,106,107,109,110,110,109,109,110,110,109,109,109,108,107,107,108,110,110,110,110,110,109,109,109,110,109,107,108,109,109,108,107,107,null],[121,125,129,132,134,135,131,127,127,130,135,140,143,144,144,145,151,154,152,152,150,144,140,140,142,140,134,132,134,137,137,134,133,136,142,147,150,150,150,150,146,143,148,151,149,150,152,151,153,153,148,141,138,137,141,145,150,151,143,133,129,128,127,128,130,129,126,121,115,109,103,100,100,97,94,91,90,89,87,88,88,87,87,88,88,87,87,88,88,87,87,87,88,88,89,91,94,97,97,96,100,104,106,106,105,107,108,106,103,100,99,99,95,90,86,90,100,106,102,98,100,103,105,103,99,96,97,98,97,96,95,93,92,92,96,99,100,99,99,98,98,102,102,98,95,94,95,99,103,104,103,102,101,101,102,101,102,103,103,102,101,101,102,99,97,98,99,98,97,96,95,96,98,99,100,100,98,96,98,103,107,105,100,97,99,102,102,100,99,100,100,99,100,101,100,97,94,93,96,100,100,99,100,102,101,98,96,94,92,91,90,89,89,89,89,88,88,87,88,88,89,89,89,89,90,92,93,91,89,88,89,90,91,92,89,87,86,86,86,86,86,86,87,88,88,89,89,89,90,91,92,93,93,94,94,95,95,96,97,98,100,101,101,99,96,96,99,101,104,105,102,100,98,97,97,97,97,98,98,99,101,103,103,103,104,105,104,103,104,103,102,102,105,108,108,105,105,104,102,100,101,102,104,106,105,103,101,100,101,103,104,103,103,102,101,101,102,103,102,100,100,102,104,106,106,106,104,99,97,96,96,97,101,106,108,106,104,105,103,101,100,102,103,104,104,104,105,105,106,106,106,106,106,106,107,108,107,105,105,106,107,107,106,106,106,107,109,110,111,110,105,98,95,97,93,90,87,85,84,85,86,86,86,86,86,91,92,94,96,97,100,102,103,105,105,103,102,103,105,106,105,104,103,103,102,101,102,104,104,103,101,99,97,94,93,92,91,90,92,97,103,106,105,102,101,101,98,95,93,93,94,96,94,94,97,98,97,96,97,97,97,96,97,98,100,103,102,96,91,92,96,100,102,105,107,106,102,99,100,104,106,108,110,113,113,111,109,109,110,110,109,109,109,110,109,107,105,105,107,108,109,110,110,109,109,109,109,108,108,108,108,107,108,110,112,112,110,109,109,109,109,110,110,109,108,109,110,108,107,107,107,null],[123,126,129,131,131,128,125,126,133,136,136,140,147,152,150,148,152,155,152,151,150,147,143,140,139,138,137,135,134,136,139,140,138,136,136,138,143,149,153,153,147,143,146,150,151,151,152,154,155,152,146,142,143,142,141,145,149,149,140,130,127,127,126,123,120,118,116,114,109,104,99,96,95,95,93,90,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,87,88,89,90,93,97,98,98,98,101,104,106,106,105,107,108,105,101,98,98,98,95,89,85,89,99,106,103,99,101,103,101,101,98,96,98,100,98,97,96,94,93,93,95,98,100,101,101,100,99,100,98,96,95,96,98,101,103,104,102,100,99,99,99,100,102,104,103,101,101,102,102,99,97,99,101,100,98,97,96,97,99,100,100,98,97,96,99,103,105,105,101,97,98,101,101,100,99,100,101,99,98,100,101,101,98,96,95,99,100,97,97,101,103,102,99,96,94,93,92,91,91,90,90,89,88,88,88,87,87,87,88,88,89,90,90,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,88,89,90,90,91,92,94,95,96,97,98,99,98,98,99,100,101,100,99,100,99,98,99,101,103,105,105,103,99,98,97,97,96,97,98,98,99,100,102,103,104,105,105,104,102,103,102,101,103,107,110,109,105,104,104,103,103,103,104,105,106,107,106,103,101,102,103,104,105,104,102,102,103,104,103,102,100,101,102,103,103,103,104,103,99,97,97,97,99,104,107,106,102,101,103,102,100,99,101,104,105,105,106,104,103,105,106,106,107,107,107,107,108,108,107,106,106,106,106,106,106,107,108,110,110,110,108,105,99,95,95,98,97,90,86,85,85,86,86,86,86,86,86,87,90,92,93,93,94,94,99,104,104,104,104,104,104,105,104,103,103,102,101,103,105,106,105,103,100,97,96,98,99,98,98,99,103,105,103,101,100,99,95,91,90,92,93,93,91,92,97,102,101,97,97,96,95,95,96,98,99,100,101,98,92,90,94,100,103,103,104,105,103,101,101,105,110,112,112,112,112,112,110,109,108,110,110,109,108,108,110,110,109,107,106,107,108,109,108,109,110,109,108,108,109,110,110,109,108,109,112,113,112,110,108,108,108,109,110,109,109,109,110,109,107,106,106,107,null],[122,123,124,127,127,124,125,131,138,139,136,140,147,153,152,150,153,156,154,152,150,147,146,145,143,141,139,136,134,135,138,140,143,143,140,138,140,146,151,155,151,148,147,148,151,152,152,154,155,150,145,145,149,145,141,144,148,144,137,131,129,127,123,116,110,108,108,107,105,102,98,95,93,92,91,89,88,87,87,88,88,87,87,88,88,87,87,88,88,87,86,87,88,90,92,95,99,99,98,99,101,103,103,102,103,105,107,105,101,99,98,98,95,89,85,89,98,105,105,103,104,102,99,98,96,95,97,100,99,98,97,96,94,93,94,97,101,101,100,100,100,99,97,95,97,99,101,103,105,103,101,99,98,97,99,101,103,103,101,99,101,104,102,97,95,97,100,100,99,97,96,97,99,99,97,96,95,96,99,102,104,103,100,95,97,101,102,101,101,101,100,99,98,100,103,104,102,98,96,99,101,98,97,100,103,104,101,97,96,95,94,93,92,91,91,91,91,91,90,89,89,88,88,88,89,90,90,88,88,88,88,88,88,88,89,89,89,89,89,89,89,89,90,91,92,93,93,93,95,96,97,98,99,100,101,100,99,100,101,101,100,98,99,101,101,101,102,104,105,105,102,99,98,98,97,96,97,98,98,98,99,101,103,105,105,105,105,104,104,103,102,105,108,110,109,105,103,103,104,105,104,104,105,106,108,108,104,103,103,102,102,104,103,101,102,105,105,103,101,102,103,102,101,102,103,104,103,99,97,96,98,103,107,107,104,101,101,103,103,102,101,102,104,105,105,106,104,103,105,105,105,106,106,107,107,108,109,108,108,108,107,106,105,106,107,109,109,109,108,108,107,103,98,96,98,97,93,90,88,86,85,85,85,85,85,85,85,89,91,91,91,91,92,95,98,100,100,101,101,102,103,103,103,102,101,101,103,106,107,108,106,103,101,101,103,104,103,102,102,101,100,98,97,96,93,90,88,90,92,93,91,93,98,104,105,102,99,97,95,93,94,97,99,100,98,96,93,91,92,96,100,102,103,104,103,101,100,103,109,113,114,112,111,110,111,111,109,108,109,109,109,108,109,109,109,109,108,107,107,107,107,108,109,110,110,109,109,109,110,110,109,109,109,111,111,110,110,109,108,108,108,109,109,109,109,109,108,107,106,106,106,null],[121,119,119,122,124,124,128,133,135,135,135,139,143,145,146,149,153,156,155,154,150,146,146,149,147,142,137,135,135,136,137,138,143,149,152,149,144,143,148,154,155,152,148,148,151,152,152,154,153,150,146,148,153,147,140,143,144,139,137,136,131,126,119,110,105,103,102,101,102,102,100,96,93,91,90,89,87,88,88,87,87,87,87,88,88,87,87,88,88,87,86,86,88,91,93,96,100,99,98,101,103,103,101,99,101,103,105,105,102,100,99,98,95,90,87,90,98,106,108,107,107,102,97,96,95,94,96,99,99,97,95,96,96,93,93,98,102,103,100,100,101,99,98,97,98,100,104,106,104,102,100,99,99,99,101,102,103,102,99,99,101,105,104,97,92,94,97,97,97,97,96,97,99,99,96,94,93,96,99,102,104,103,99,94,96,102,104,103,101,100,99,98,99,102,104,104,102,98,97,100,102,101,99,100,102,103,101,98,98,99,99,97,95,93,91,92,94,94,94,93,92,91,91,91,91,91,90,90,89,89,89,90,90,91,92,92,92,92,92,92,92,92,94,95,97,99,98,98,99,100,100,99,99,99,100,100,99,99,99,100,100,100,101,102,102,101,102,103,105,105,102,99,98,98,97,95,96,98,98,98,100,102,103,104,104,105,106,107,106,105,104,105,107,108,107,106,103,102,103,104,104,104,105,108,109,108,106,104,102,101,102,104,101,100,103,105,105,102,102,104,105,103,102,103,106,107,103,97,94,96,101,107,109,107,104,101,101,103,104,104,104,103,103,104,104,104,104,105,106,105,104,104,105,106,107,108,109,109,109,110,109,106,106,107,108,108,108,108,108,109,110,109,104,99,97,98,98,94,91,88,85,84,85,85,86,85,85,85,86,87,91,94,96,95,94,95,95,95,96,98,99,100,101,100,100,100,101,102,103,104,104,102,101,101,101,100,99,97,96,92,92,93,93,91,87,86,89,93,95,93,94,99,105,107,104,102,100,96,93,92,94,98,100,99,96,92,90,93,96,97,99,102,105,107,105,102,101,104,109,112,111,110,110,110,111,111,109,108,108,108,108,109,110,108,108,108,108,108,107,106,106,109,110,109,110,110,110,109,109,109,109,109,109,109,109,109,109,110,110,109,108,108,109,109,108,108,108,107,106,105,104,null],[125,121,121,122,123,125,126,128,129,129,131,134,135,133,139,149,153,153,154,154,152,146,144,145,143,139,137,137,138,138,139,141,141,147,154,155,149,143,143,150,156,155,150,148,152,153,154,156,154,150,147,149,152,147,141,145,144,137,137,135,126,120,116,111,106,102,100,99,101,103,102,97,92,90,89,87,87,88,88,87,87,88,88,88,88,87,87,88,88,87,87,87,89,92,96,97,98,97,98,100,102,102,101,100,102,103,104,105,102,99,99,99,96,91,87,90,98,106,109,109,107,101,95,94,94,94,97,100,101,98,96,97,97,93,93,99,105,104,100,101,102,98,97,97,98,101,106,105,102,100,99,99,100,101,100,100,101,100,99,99,101,103,102,97,94,95,97,96,97,97,96,97,100,99,95,93,93,97,100,104,105,103,98,94,97,103,105,103,101,98,97,98,101,105,105,103,100,97,96,99,102,102,100,100,101,101,100,99,98,98,98,98,96,94,92,94,97,97,96,94,94,93,91,91,93,93,93,93,93,93,93,94,95,93,92,93,95,96,93,93,95,98,98,98,100,101,100,99,100,101,101,100,98,99,100,99,98,98,99,101,101,101,102,102,102,101,101,102,104,106,103,99,97,97,96,95,96,97,98,99,102,102,101,102,104,104,105,107,107,106,104,105,107,107,108,107,106,104,103,103,105,105,106,108,109,108,107,103,101,102,104,105,101,100,104,105,102,100,102,105,105,103,103,104,106,106,101,95,94,100,105,108,108,106,104,102,103,104,104,104,104,104,103,103,103,104,105,107,108,107,105,106,106,105,107,109,109,109,108,108,109,109,109,109,109,109,109,109,109,111,112,111,108,103,98,99,102,99,94,91,87,86,85,86,86,86,86,85,86,89,89,91,93,95,97,97,93,91,90,91,92,95,98,100,99,96,95,95,95,96,96,96,96,96,95,94,94,93,90,86,87,89,89,87,85,86,90,94,96,98,101,105,104,102,100,100,99,96,94,94,96,99,100,100,96,92,91,92,95,97,101,105,109,110,109,106,105,107,108,109,110,110,110,110,109,110,110,109,108,108,108,109,110,109,109,109,108,108,108,107,107,109,109,108,108,110,111,110,108,108,108,109,109,109,110,110,110,110,111,111,109,108,109,110,109,108,107,107,106,105,104,null],[134,129,127,125,125,126,124,125,130,131,129,128,128,128,135,144,146,147,150,152,151,147,142,139,137,139,140,140,139,139,143,146,145,144,150,155,153,145,141,146,154,156,152,148,151,152,154,158,156,151,150,151,151,147,144,145,141,131,130,128,118,112,112,113,109,103,100,101,102,103,101,95,90,89,89,86,87,88,88,87,87,88,88,87,87,88,88,88,88,88,88,88,90,94,100,98,95,95,98,101,103,104,106,105,104,104,104,103,101,100,100,100,98,92,88,90,98,106,108,107,106,99,94,93,94,95,99,102,102,99,96,97,96,93,95,101,106,105,101,102,101,97,96,97,98,102,107,105,100,99,99,100,101,100,98,98,98,98,100,102,101,100,100,98,97,99,99,96,96,96,95,98,101,99,96,94,95,98,101,104,105,103,99,95,97,103,105,103,100,97,96,98,102,105,105,102,100,96,95,99,102,102,101,100,101,101,98,98,97,95,96,97,97,94,92,95,99,100,99,98,97,95,93,93,94,95,95,96,97,97,97,97,98,98,98,99,101,101,98,96,97,99,100,101,101,102,101,99,99,100,101,100,99,98,99,99,97,98,99,101,101,101,102,102,102,102,102,102,104,107,104,100,97,96,96,95,96,98,100,101,103,103,101,102,104,104,105,106,107,106,105,106,108,107,107,108,108,106,103,103,105,106,106,106,107,107,106,102,100,102,105,105,101,100,103,103,100,101,103,105,104,102,103,105,106,105,99,94,97,104,107,106,105,103,103,103,104,104,104,104,104,104,104,104,105,106,107,109,110,108,108,109,108,107,107,108,109,109,108,107,107,109,110,110,109,109,110,109,109,110,111,109,108,105,101,102,104,102,98,95,92,90,88,87,86,86,86,85,86,88,88,87,88,93,97,98,95,91,91,91,90,92,96,100,100,96,94,92,91,91,91,91,92,92,92,92,93,92,88,88,90,90,89,88,89,91,93,96,99,103,105,104,101,97,97,98,99,98,96,97,98,100,102,100,96,94,94,94,95,100,105,108,110,111,111,109,110,110,109,108,108,110,111,110,109,109,110,110,110,109,109,109,109,110,111,110,109,108,108,107,107,107,107,107,107,108,109,109,108,108,108,108,108,109,111,111,110,109,110,111,109,108,109,111,110,108,106,106,106,105,104,null],[146,139,133,129,129,128,126,129,138,139,132,128,130,135,137,137,137,140,145,149,148,147,142,138,139,143,145,143,138,138,145,152,150,147,148,152,154,148,142,145,151,155,154,151,149,150,153,157,156,152,153,152,149,146,144,141,131,120,118,118,113,107,105,107,106,102,100,102,104,103,99,93,89,88,89,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,90,92,95,101,98,93,95,98,101,105,109,111,108,103,101,101,100,100,101,100,100,101,95,89,91,98,105,106,104,103,99,95,94,95,95,98,103,103,100,96,96,96,94,97,102,104,104,102,101,99,97,96,97,99,103,106,105,101,100,102,103,101,99,98,98,98,99,101,104,102,99,100,98,97,99,100,97,96,95,94,96,100,98,96,98,99,99,101,104,106,105,101,97,99,103,105,103,101,98,97,98,101,104,103,102,101,98,95,98,102,102,100,99,101,101,98,97,96,95,96,97,97,94,92,96,100,102,103,102,99,97,95,95,95,97,99,101,102,101,99,101,104,105,105,106,106,105,102,99,97,98,101,103,103,102,100,100,100,101,102,101,100,98,98,98,98,99,100,100,100,101,102,103,103,103,103,104,106,106,104,100,98,97,96,96,97,100,102,103,104,103,102,104,106,105,106,108,107,106,107,108,110,109,107,106,106,105,105,105,105,106,105,103,105,106,105,102,100,102,103,102,101,101,101,100,101,104,106,104,102,103,104,106,107,103,98,96,100,105,105,102,100,100,101,102,103,105,106,106,105,105,106,106,107,108,108,109,110,110,109,109,110,110,108,107,107,109,110,108,108,109,109,108,108,109,109,109,109,109,109,107,106,106,106,104,101,101,102,101,98,95,92,88,86,85,85,85,86,86,86,87,86,87,90,93,94,96,97,96,94,94,98,101,102,101,100,99,98,95,93,93,94,95,96,97,97,95,92,94,96,95,94,93,94,97,100,101,102,103,102,99,98,98,97,98,99,100,98,98,99,102,103,99,94,95,98,98,101,104,107,108,108,110,111,111,112,113,111,108,107,109,111,110,109,110,110,110,112,111,109,109,109,110,111,111,110,108,107,107,108,107,107,107,107,107,108,108,108,108,107,107,108,109,111,109,108,108,109,109,108,108,109,110,109,107,106,107,107,105,104,null],[152,146,137,133,132,130,126,129,139,145,140,135,135,140,139,134,133,138,146,150,147,143,139,139,141,146,150,145,139,139,144,149,151,151,151,154,155,151,148,147,148,150,152,151,148,150,155,156,156,155,155,152,146,141,136,130,121,112,111,113,112,107,102,102,102,100,100,101,102,100,95,91,88,89,90,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,91,93,97,102,98,94,96,99,100,104,110,111,107,101,100,101,99,100,101,99,99,100,95,90,91,97,103,104,103,103,99,94,94,94,94,99,103,104,101,97,97,96,95,97,101,101,101,102,101,98,96,96,99,101,104,104,103,101,102,103,102,99,97,99,100,99,99,101,102,101,100,100,98,97,99,100,98,96,93,93,96,98,96,96,100,101,101,101,103,105,105,103,100,100,102,103,103,101,98,96,97,101,103,103,102,101,98,96,97,100,102,100,99,101,102,99,96,94,95,97,98,97,94,93,97,101,103,103,102,100,98,97,96,95,98,100,103,104,104,102,103,106,107,108,109,108,106,103,100,98,100,102,103,103,102,102,102,102,101,102,102,101,98,97,98,99,98,99,100,100,100,101,102,103,104,105,106,108,106,102,99,99,99,98,97,98,100,103,104,103,102,103,105,106,105,107,109,108,106,106,108,110,109,107,106,105,104,105,106,105,104,103,104,105,106,105,102,101,102,102,99,99,99,99,100,103,105,104,103,104,105,105,106,106,100,96,100,105,107,104,99,97,96,98,100,103,105,105,105,105,106,107,107,108,108,107,107,109,110,109,110,110,110,108,107,109,110,110,110,109,109,108,107,108,110,109,110,110,109,108,106,105,106,107,105,101,99,101,104,103,100,95,91,87,86,85,85,86,86,86,86,86,87,88,89,90,94,97,99,99,100,101,102,103,104,103,103,103,101,99,99,99,99,100,102,102,100,99,100,103,102,101,100,101,103,104,102,101,100,99,97,96,96,96,97,98,97,97,99,99,99,99,97,95,97,100,101,103,105,106,107,108,108,110,111,111,112,111,109,108,109,111,112,111,110,110,110,112,111,108,108,109,109,110,111,111,109,108,109,109,109,108,108,107,107,108,109,109,109,108,107,108,110,110,108,106,108,109,108,108,109,109,109,108,107,107,107,106,104,103,null],[149,148,143,139,136,131,127,126,133,141,147,144,141,140,139,137,139,145,152,152,147,140,138,141,143,147,151,148,143,142,142,144,148,152,155,157,156,155,153,151,148,147,149,150,150,153,155,156,156,156,153,147,140,132,124,119,113,108,109,112,113,109,104,101,99,99,100,100,98,95,93,90,89,88,88,88,88,87,87,88,88,88,88,87,87,88,88,87,88,89,90,92,95,102,101,97,96,98,100,99,102,106,107,103,100,101,101,100,99,99,97,98,98,95,90,90,95,102,103,104,105,99,92,93,94,95,98,103,105,102,97,96,96,96,98,101,100,99,100,101,99,96,96,100,104,104,101,98,99,101,102,100,97,97,100,102,101,101,100,99,100,101,99,98,97,99,100,99,96,94,93,95,96,96,96,100,101,101,101,103,104,105,104,103,102,101,102,102,100,97,95,97,101,104,104,103,102,99,95,95,99,101,101,99,101,103,101,97,94,95,98,99,96,93,92,97,102,102,101,101,100,99,98,97,96,98,101,103,105,105,104,104,106,108,109,109,108,105,103,101,100,102,104,103,102,103,103,104,103,101,102,103,103,100,97,97,99,98,98,99,100,100,101,102,103,105,105,106,108,106,101,98,98,99,99,98,99,100,102,102,101,101,104,106,105,104,106,108,108,106,105,107,109,108,108,107,106,104,105,106,106,105,104,105,106,106,104,102,103,104,102,98,97,98,99,103,105,105,103,103,105,107,106,105,103,96,95,105,110,108,104,100,97,95,97,99,102,104,104,104,106,106,106,107,108,108,107,106,107,109,109,109,109,108,108,108,110,111,110,110,110,110,109,108,109,110,110,111,111,110,108,106,106,106,105,105,104,100,99,103,108,108,101,96,90,87,86,85,85,85,85,85,85,85,85,88,86,88,91,95,98,101,102,101,101,103,102,102,104,104,103,103,103,102,103,104,104,104,104,105,106,106,105,104,105,105,102,99,98,97,97,96,93,91,92,94,95,94,96,99,98,95,94,96,99,101,102,103,103,104,106,108,108,108,109,110,109,108,109,110,110,110,111,112,112,110,110,110,111,110,108,108,109,109,109,110,111,111,110,110,110,110,110,109,107,107,109,110,110,110,109,108,109,110,110,108,107,109,110,108,108,109,110,109,107,107,108,107,105,103,103,null],[143,149,150,148,142,133,128,127,127,133,142,150,148,142,136,139,147,153,155,150,145,142,142,144,146,149,153,152,148,146,143,142,146,152,154,155,156,156,155,153,149,147,150,154,154,152,151,153,156,153,145,136,128,122,119,117,111,105,106,109,110,110,107,102,99,100,101,100,96,93,91,89,89,88,88,88,88,87,87,88,88,87,87,88,88,87,87,88,89,90,91,94,96,97,97,95,97,100,101,99,101,105,105,102,100,101,102,100,99,98,97,99,100,95,89,88,93,99,103,105,104,98,92,93,95,95,98,102,103,100,96,95,96,97,99,101,101,100,100,100,98,97,98,102,106,103,98,96,97,99,99,97,96,98,101,103,103,102,99,98,99,100,100,99,100,102,102,100,98,96,94,94,95,96,97,98,99,99,101,104,106,104,102,102,102,100,101,102,101,99,96,97,100,103,104,103,103,100,97,96,100,102,101,99,99,102,103,99,95,96,99,100,95,92,93,99,102,102,100,100,100,99,98,97,98,100,102,104,107,107,105,104,105,106,108,108,106,104,102,101,103,104,104,103,101,102,103,105,104,102,102,104,104,102,98,98,99,99,99,99,100,101,102,103,104,105,104,104,105,105,101,98,98,99,98,99,100,102,102,101,99,102,105,105,104,104,105,107,106,105,106,107,108,109,108,106,106,106,106,106,106,105,105,106,107,106,103,101,102,104,103,98,98,101,104,106,105,104,102,103,105,105,104,102,99,96,100,108,111,107,104,101,99,97,98,100,103,104,104,105,106,106,105,107,109,109,108,107,107,108,108,108,108,109,109,109,110,110,109,110,111,111,111,110,110,110,110,111,111,111,108,106,106,106,104,106,106,103,99,99,104,108,106,101,95,90,88,86,85,84,85,85,85,85,85,86,86,87,88,89,90,94,97,98,98,100,101,103,103,104,104,105,104,102,103,104,104,105,105,104,102,102,103,103,104,103,100,99,97,94,94,94,89,89,89,89,92,96,99,99,96,93,95,99,103,104,104,105,105,105,108,108,107,108,109,109,107,105,107,110,110,109,109,111,111,109,109,110,111,111,110,110,110,110,109,109,110,110,109,109,109,109,109,109,109,108,108,108,109,111,110,109,109,110,110,109,109,111,111,109,109,109,110,109,108,108,108,107,105,103,104,null],[141,148,150,150,143,134,131,132,131,131,138,148,151,142,137,142,150,156,154,147,143,146,147,146,147,150,152,153,150,147,143,142,145,149,149,151,154,155,154,151,149,149,152,156,155,149,144,146,149,148,139,130,124,121,120,121,116,107,105,108,108,108,105,101,100,102,103,100,95,91,90,90,89,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,91,93,95,96,94,94,96,99,101,100,98,100,104,106,103,99,99,101,100,100,101,100,100,101,95,89,87,92,99,103,104,102,97,93,93,95,95,98,103,103,100,95,95,97,99,100,100,101,101,100,99,99,99,101,104,106,102,96,97,101,99,95,94,96,99,101,103,103,100,100,101,100,98,98,99,100,103,103,100,98,96,95,95,97,99,99,98,97,98,102,105,106,102,100,101,101,100,101,102,101,100,98,97,98,101,103,104,104,101,97,97,101,103,101,98,97,102,105,102,98,97,100,100,95,92,94,99,102,101,100,102,102,100,98,97,99,101,103,105,107,107,105,104,105,106,106,106,105,103,101,102,103,104,104,103,101,101,102,103,103,102,102,104,105,103,99,97,98,100,100,98,98,101,103,103,104,104,103,103,103,104,102,98,98,98,98,98,100,102,102,101,99,102,105,104,102,103,104,105,105,105,106,107,109,109,108,107,107,107,106,106,106,106,105,104,105,105,104,101,101,104,104,101,101,103,105,104,103,103,104,104,103,102,101,99,97,99,105,109,109,107,104,103,102,102,102,104,104,105,105,106,107,106,106,107,109,111,110,108,107,107,108,108,108,109,109,109,109,108,109,109,110,110,111,111,110,109,110,110,111,110,109,107,106,106,106,106,107,106,103,99,100,103,104,104,98,93,90,87,86,85,85,85,86,86,85,85,85,85,88,86,85,87,90,91,93,96,100,101,101,100,101,102,101,100,101,102,102,102,102,100,99,99,99,99,99,97,96,97,98,94,92,92,88,89,87,89,94,99,99,96,94,96,100,104,105,106,106,107,107,107,109,109,107,107,108,108,106,105,107,110,110,109,108,110,111,110,110,110,111,111,111,110,110,110,110,109,109,109,108,108,109,109,109,109,110,109,108,109,110,111,111,109,109,110,110,110,110,111,111,109,108,109,109,109,108,108,107,107,105,104,104,null],[145,147,146,145,140,135,134,137,140,140,139,145,147,143,142,145,149,153,153,147,143,147,149,148,149,151,152,152,150,146,142,142,144,146,147,148,151,154,152,146,146,148,150,152,151,146,140,137,139,141,138,132,129,127,127,126,121,112,109,109,106,103,100,98,99,101,104,101,94,89,89,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,90,92,94,96,95,95,95,98,101,101,100,98,100,103,105,102,97,98,100,100,103,105,102,100,99,95,89,88,92,98,101,100,98,96,94,94,95,96,99,104,105,102,97,96,98,100,99,99,100,101,100,100,101,103,104,106,105,101,98,102,105,100,94,92,95,99,100,101,101,98,100,105,102,98,98,99,99,102,102,99,95,95,96,99,101,102,102,101,99,99,101,104,105,101,98,99,101,101,102,103,101,99,97,96,97,99,101,103,104,101,97,97,100,102,102,99,97,101,105,105,101,99,100,101,96,93,96,100,102,100,100,103,104,101,98,97,99,102,103,104,106,106,105,105,106,106,105,104,104,103,101,100,101,103,103,102,101,100,101,103,103,100,100,102,104,103,99,96,97,99,99,98,98,101,102,103,103,103,103,102,103,103,101,99,97,97,98,99,101,103,102,101,101,103,104,102,100,101,103,104,105,106,106,107,109,109,109,109,108,107,106,106,106,106,105,104,104,105,104,102,100,102,104,104,104,103,102,101,102,104,105,103,99,97,99,98,96,102,108,108,106,107,106,105,105,106,106,105,105,106,105,106,108,108,108,109,110,111,110,108,107,107,108,109,109,108,109,109,108,108,108,109,109,108,109,109,108,108,109,109,109,109,109,109,108,108,107,106,106,107,107,106,102,99,99,102,103,97,92,90,89,88,87,86,86,86,85,85,85,85,85,85,85,86,86,87,90,94,97,98,98,98,98,98,98,98,99,101,102,100,98,98,99,100,98,96,95,93,92,96,98,88,87,87,88,89,91,93,100,100,96,94,95,100,105,107,107,107,107,108,108,109,109,109,107,107,107,108,108,108,109,110,110,110,110,111,111,111,111,111,111,111,110,109,109,109,109,109,108,108,109,109,110,111,111,110,110,110,110,110,111,111,111,110,109,109,110,110,110,110,109,108,108,109,109,109,108,107,106,107,106,105,103,null],[148,150,147,145,142,137,134,137,145,147,143,145,146,144,146,151,151,152,155,150,144,146,149,150,152,154,154,152,150,148,146,145,146,148,150,150,151,153,149,141,139,141,142,142,143,145,142,133,130,135,138,138,137,136,134,127,118,112,110,109,105,100,96,97,100,101,102,98,92,89,89,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,88,88,91,94,97,97,96,95,97,99,102,101,99,98,101,103,103,100,97,98,100,100,102,106,103,100,97,93,89,88,92,97,99,98,98,96,95,95,94,94,100,106,107,102,96,96,98,97,95,95,99,99,99,101,104,105,106,106,104,101,99,102,104,99,95,96,97,98,99,100,100,97,100,106,103,99,99,99,99,101,101,97,93,93,96,99,102,103,104,103,102,101,100,102,103,100,98,100,101,102,103,101,99,96,95,96,97,98,100,101,102,100,97,96,98,101,102,100,97,98,103,104,102,99,100,99,94,93,97,101,101,100,100,102,104,103,99,98,99,101,103,104,105,106,106,106,106,106,104,104,105,104,101,100,101,103,104,103,102,101,102,103,103,100,100,102,104,103,100,96,96,97,98,98,99,100,101,102,103,103,102,101,102,103,101,99,97,98,99,101,103,103,102,101,103,103,102,100,101,102,103,104,105,107,107,108,108,108,108,109,108,107,106,104,104,106,108,107,104,102,103,103,102,101,102,104,105,103,101,100,102,104,104,100,97,97,98,98,99,104,108,107,106,106,105,104,105,106,105,104,105,106,106,107,110,111,110,110,110,109,108,106,106,107,109,109,108,109,109,108,108,107,107,108,109,108,109,109,108,108,108,108,108,108,109,110,110,109,108,106,106,107,108,108,105,102,102,101,100,98,97,95,95,91,90,88,87,86,85,85,84,85,84,84,85,86,89,90,92,94,96,97,99,100,100,99,99,99,100,101,101,100,98,97,97,95,95,96,90,89,88,88,88,87,87,88,89,92,94,99,101,99,96,97,101,105,108,108,107,106,106,108,109,109,109,108,108,108,109,109,109,109,111,111,109,109,110,110,110,111,111,111,111,111,110,110,109,108,108,109,108,108,110,111,111,112,111,109,109,110,110,110,111,111,111,112,110,109,109,109,109,109,109,109,109,109,109,109,108,106,105,106,107,105,103,null],[146,150,149,150,147,140,134,135,142,146,146,149,150,147,150,154,153,153,156,152,147,147,148,150,152,154,156,155,152,151,150,149,149,151,154,154,151,148,143,138,135,133,132,133,138,144,142,133,127,130,138,141,139,139,136,125,115,111,110,107,103,98,95,97,100,99,98,95,92,89,88,87,87,87,87,88,88,87,87,88,87,88,88,87,88,88,88,89,91,94,97,99,97,96,98,101,103,102,100,100,102,104,102,100,99,101,100,98,100,103,102,100,97,93,89,88,90,95,97,98,98,96,95,95,95,95,100,105,106,101,96,96,96,93,92,94,98,100,100,103,107,106,105,105,103,102,101,100,98,95,96,99,99,99,101,102,100,97,100,105,104,101,100,99,99,101,101,97,93,92,95,98,100,102,104,105,104,101,100,101,102,102,100,99,101,104,104,101,99,96,94,96,97,97,98,100,100,99,98,97,97,99,101,101,98,97,99,101,102,100,99,97,92,92,98,101,101,100,99,101,104,104,101,98,99,100,102,103,104,105,106,107,106,105,104,105,105,104,101,100,101,102,104,104,103,102,103,104,103,101,101,102,104,103,101,98,96,95,96,98,99,99,100,102,103,103,102,100,101,103,103,100,98,99,102,104,105,104,102,102,104,104,102,101,102,104,105,105,106,107,108,107,107,107,108,108,107,106,104,102,101,104,108,110,106,102,101,103,104,101,101,103,104,103,102,102,103,103,101,97,97,98,98,99,102,107,109,108,106,105,103,104,105,104,103,104,105,106,107,109,111,111,109,109,108,107,106,105,106,108,109,108,108,109,109,108,108,108,107,108,109,109,110,110,109,107,107,107,107,107,109,110,110,108,107,106,106,106,107,107,107,107,107,103,99,97,97,96,98,95,93,90,88,87,86,85,85,85,85,85,86,87,91,94,97,97,97,98,100,103,104,102,101,101,101,101,102,101,98,95,92,90,93,96,88,88,88,87,87,87,88,90,92,95,100,101,99,98,100,104,107,109,110,109,107,106,106,108,109,109,108,108,109,110,110,110,110,110,112,112,110,109,110,109,109,110,110,110,111,111,111,111,109,107,108,109,108,108,110,110,111,111,110,109,109,109,110,110,110,111,112,112,110,109,109,108,108,109,111,111,110,109,109,109,107,105,104,105,106,105,104,null],[143,145,147,151,151,145,139,136,139,144,148,152,153,151,151,153,152,152,153,150,148,149,148,146,148,151,154,155,154,151,149,149,149,151,155,154,147,138,135,136,135,130,128,131,136,138,137,134,130,128,133,136,132,131,129,122,116,113,109,104,99,96,95,97,97,95,94,93,92,90,88,87,88,88,88,87,87,88,88,87,87,88,88,87,87,88,88,91,94,94,98,103,102,98,98,102,105,103,100,101,103,103,102,100,100,102,101,98,97,99,99,100,98,93,88,86,88,93,96,98,100,98,95,94,95,97,100,102,102,99,97,96,94,91,92,97,100,102,103,105,106,104,103,102,102,102,101,99,96,94,95,97,98,101,104,105,101,97,99,104,105,102,98,97,98,102,102,98,95,94,96,97,98,99,102,104,103,101,101,103,104,103,99,96,99,104,105,104,103,100,97,97,96,94,97,101,100,100,99,97,95,97,100,101,98,96,97,101,103,101,99,96,93,94,98,99,99,99,99,99,102,104,102,100,99,100,102,104,103,104,106,107,105,102,102,103,105,103,100,99,99,100,102,103,102,102,102,101,101,102,101,102,103,104,103,99,97,95,96,97,99,100,102,102,101,101,101,101,102,103,104,102,99,99,102,104,104,103,103,104,105,105,103,102,103,104,105,105,104,105,107,107,107,107,108,108,106,103,101,99,99,100,102,106,106,103,98,100,103,102,100,101,103,105,103,103,102,101,97,95,96,98,97,98,104,107,109,108,106,104,105,105,104,103,104,106,108,109,109,110,111,110,107,106,106,106,106,107,108,108,107,108,108,108,108,108,109,108,108,108,109,109,110,111,109,108,108,107,106,107,108,109,109,107,106,105,106,106,106,107,107,107,107,106,103,101,99,98,98,99,97,94,90,88,87,87,86,86,86,87,89,90,89,95,99,99,99,99,101,105,106,104,101,101,101,102,103,101,95,91,89,87,87,88,87,87,87,88,88,89,90,93,95,98,102,99,97,101,107,110,111,111,111,110,109,108,109,109,110,109,109,109,110,110,110,109,109,110,112,112,112,111,111,111,110,109,109,109,111,111,110,111,110,108,108,110,109,109,109,109,109,110,110,110,109,109,111,111,111,111,110,110,110,110,109,108,108,109,111,111,110,108,108,108,107,105,104,104,105,105,105,null],[147,145,145,146,148,148,142,137,137,143,150,153,152,151,151,152,152,151,150,148,147,147,144,141,143,146,148,149,149,145,143,145,147,150,151,148,141,133,131,133,134,130,126,127,132,134,135,137,133,128,128,129,124,123,122,121,119,115,108,102,98,96,97,97,96,93,92,92,93,90,88,87,88,88,88,87,87,88,88,87,87,88,88,87,87,88,89,91,96,95,99,104,102,99,100,103,105,104,102,102,102,103,102,101,100,101,100,98,97,98,99,100,99,95,89,86,88,92,94,97,101,99,95,95,96,98,98,97,98,98,96,95,93,92,94,98,100,102,106,107,105,101,99,100,100,101,100,96,94,95,96,97,99,102,104,104,100,97,99,104,105,102,98,97,99,102,102,99,97,98,97,96,95,97,100,102,100,98,100,103,104,103,100,96,98,103,104,105,106,104,100,98,95,92,96,102,103,102,100,96,95,97,100,101,99,96,95,100,103,101,99,96,93,96,99,98,97,99,99,99,101,104,104,103,100,100,102,104,103,102,104,106,105,102,101,102,104,102,99,97,97,99,100,101,102,101,100,99,100,101,101,101,103,104,103,100,98,96,96,97,99,101,102,102,101,101,100,100,100,101,103,102,99,98,101,103,103,103,104,105,104,103,101,102,103,104,104,104,104,103,104,105,107,107,108,107,104,101,98,98,98,97,97,100,104,104,99,98,101,103,101,100,103,105,105,103,101,99,97,96,98,99,96,99,106,109,110,109,107,105,106,107,106,106,107,108,110,111,111,110,109,108,106,106,107,107,107,107,108,107,107,108,109,108,107,108,109,109,109,109,109,108,109,110,110,109,110,108,106,107,108,109,109,107,105,105,107,107,107,107,106,105,105,106,106,105,103,102,101,100,97,95,92,91,90,89,88,88,88,90,91,93,88,91,96,100,102,101,102,103,104,100,99,102,105,105,101,97,93,90,89,87,86,86,86,87,87,88,89,91,93,96,98,100,100,98,100,105,110,111,110,110,109,109,109,110,110,110,110,109,109,109,109,108,108,108,109,110,111,112,112,111,110,111,111,110,109,109,111,111,109,109,109,109,109,110,110,109,109,108,108,109,110,110,109,109,110,111,110,109,108,108,110,111,110,108,108,109,110,111,109,108,107,106,105,104,104,103,104,105,105,null],[153,149,143,140,142,149,144,136,137,143,149,150,147,146,149,153,151,148,146,145,143,140,137,135,138,140,140,143,144,137,133,136,142,144,144,139,133,131,130,128,129,129,124,124,129,133,136,139,135,129,125,123,120,118,119,120,119,114,106,101,99,99,98,98,96,93,91,91,88,88,88,87,87,87,87,88,88,87,87,88,88,87,88,88,88,88,90,93,96,97,101,103,101,100,103,105,103,103,103,101,101,102,102,100,98,99,99,97,99,101,101,100,99,95,90,86,88,91,94,97,99,99,97,97,97,97,96,95,96,97,95,93,92,95,97,98,100,103,107,107,103,98,97,100,101,99,97,95,95,97,99,100,102,103,102,100,98,97,100,104,105,103,100,99,100,102,101,98,99,100,99,96,96,98,100,100,98,96,98,101,102,102,101,99,99,101,103,104,105,105,101,97,94,93,95,99,103,103,99,95,94,97,99,100,99,95,93,97,101,100,99,97,95,98,101,98,96,98,99,99,100,103,105,104,101,100,103,105,103,101,102,104,104,102,101,103,104,101,97,95,97,99,99,99,100,101,99,98,99,100,100,100,101,103,102,100,99,98,97,97,98,99,100,101,101,100,100,99,99,99,101,101,98,96,98,101,103,103,104,104,102,100,100,101,103,103,103,103,104,103,102,103,106,107,107,106,103,99,95,95,96,95,94,96,101,104,103,100,99,101,103,101,102,104,104,103,100,98,98,99,100,99,97,100,107,110,110,108,107,106,107,109,110,110,109,109,110,111,111,110,107,106,107,108,108,108,107,107,107,107,108,109,109,108,107,107,108,108,109,110,110,108,108,109,111,111,109,107,106,106,108,109,110,108,106,107,108,108,108,108,106,104,104,104,105,106,107,106,105,101,97,95,95,96,96,92,91,90,89,90,92,93,92,91,93,99,102,103,103,103,102,98,99,105,109,107,98,92,91,88,87,87,87,87,87,88,89,90,92,94,97,99,102,101,99,101,105,108,109,108,108,108,107,107,109,110,110,110,110,109,108,108,107,106,106,108,110,111,111,111,111,110,109,110,111,111,110,109,111,111,109,109,109,110,110,110,110,110,109,109,109,109,110,110,109,108,108,109,109,108,107,108,110,111,110,109,109,109,109,109,109,108,106,105,105,105,104,103,103,104,104,null],[152,148,141,135,140,149,147,139,137,140,143,144,142,141,145,150,150,145,139,138,138,136,131,129,131,134,135,141,143,133,126,129,134,136,135,132,129,128,127,124,123,123,123,126,131,133,135,139,137,130,124,119,117,117,119,119,116,111,105,101,101,100,98,98,95,91,90,92,88,87,87,88,87,87,87,88,88,87,87,88,88,87,87,88,89,90,92,94,96,99,102,101,99,101,104,105,104,103,102,100,100,100,99,97,96,98,99,97,99,101,99,97,97,94,88,86,88,91,94,96,97,98,99,98,96,94,95,97,99,98,95,92,92,96,97,99,101,104,107,105,100,96,99,103,103,99,97,97,98,98,99,102,105,105,101,97,96,97,100,104,105,103,100,98,100,103,101,97,98,100,100,99,100,101,102,101,98,96,98,100,100,101,102,100,99,101,103,104,104,103,100,97,95,94,93,93,95,99,98,94,92,94,98,100,98,94,91,94,98,101,100,97,96,99,102,99,96,98,100,99,99,103,105,105,102,103,105,107,106,104,103,102,100,99,101,104,103,98,94,95,97,98,98,99,100,101,100,98,99,100,100,100,101,102,101,100,99,99,98,96,97,98,99,100,100,100,100,100,99,99,100,100,98,96,97,98,100,101,103,103,100,100,101,101,102,102,103,104,106,104,101,101,104,106,107,106,102,97,93,93,94,95,95,96,98,102,104,103,100,100,102,103,104,104,103,101,99,98,99,99,99,100,100,103,109,109,108,107,107,108,109,110,112,111,110,109,110,111,110,108,106,105,107,109,109,108,108,107,107,108,108,108,108,108,108,108,108,108,109,110,110,109,108,108,110,110,108,106,106,105,106,109,110,109,108,108,108,108,109,108,107,105,105,105,105,106,107,107,106,103,98,96,97,97,95,94,93,92,91,91,94,98,99,97,95,96,101,104,105,106,106,104,105,109,111,105,95,88,89,88,88,88,88,88,89,90,92,94,96,96,99,102,104,104,104,105,108,109,109,108,108,108,107,107,109,110,110,109,108,107,106,106,107,107,107,108,110,111,111,110,110,110,109,109,110,111,110,109,110,110,110,109,110,110,110,110,110,110,110,110,110,110,110,109,108,108,108,108,108,108,107,108,109,110,109,109,109,109,108,107,108,108,107,105,105,106,106,105,104,103,103,null],[152,147,139,134,138,146,146,140,139,138,138,141,142,142,144,148,148,142,134,132,134,132,129,125,126,129,133,140,142,134,128,128,127,127,129,130,128,125,123,124,122,120,123,128,132,132,134,137,135,128,121,117,117,119,119,117,112,105,100,99,100,100,98,98,94,90,90,92,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,90,92,94,96,97,100,102,100,99,100,103,105,105,102,100,99,99,98,98,96,95,96,97,97,99,100,98,96,96,93,88,86,88,91,95,96,97,100,101,99,94,92,94,98,101,98,93,91,93,95,98,101,104,106,105,102,98,97,102,106,103,98,97,99,101,100,100,102,106,106,101,97,95,96,100,103,104,102,99,97,100,103,102,98,97,98,99,101,103,103,101,102,101,100,100,100,100,101,101,100,99,101,103,103,102,102,100,96,94,95,92,89,90,94,98,94,91,92,97,100,98,93,91,92,96,100,99,96,96,100,102,98,96,99,100,99,100,103,105,104,103,104,107,108,107,105,103,101,99,98,100,104,102,97,94,95,98,98,98,99,101,102,101,100,98,99,100,100,100,101,102,101,99,100,99,98,97,98,99,99,99,99,100,100,99,99,99,100,99,97,96,97,98,99,100,101,100,101,102,101,101,102,103,105,107,104,100,99,101,104,107,107,102,96,93,93,94,95,96,97,97,100,104,105,102,100,100,102,104,104,103,100,98,99,99,98,97,99,103,107,109,108,106,107,108,109,109,110,110,110,109,109,108,108,108,107,105,106,107,109,108,108,108,109,108,108,109,108,108,108,109,109,108,108,109,110,110,109,109,108,109,108,106,107,107,106,106,107,109,109,108,108,108,108,108,108,108,108,106,106,106,106,106,107,106,104,100,99,100,99,96,94,92,91,91,91,93,97,101,101,98,96,99,103,105,107,110,110,110,110,108,102,94,89,90,89,90,89,90,90,91,93,95,97,100,100,103,106,107,107,108,108,108,108,109,109,110,109,109,109,109,110,110,110,108,107,106,107,108,109,109,109,109,110,110,110,110,110,109,109,109,110,109,108,109,110,110,110,110,110,110,110,110,110,111,111,110,110,109,109,108,108,108,108,108,108,108,108,108,109,109,109,109,109,108,107,107,108,108,106,105,106,107,106,104,103,103,null],[154,148,137,132,134,140,141,140,142,141,139,142,146,146,149,150,147,140,134,132,131,130,127,124,124,127,130,134,135,135,133,131,125,122,126,128,126,121,121,124,124,122,124,127,128,129,131,134,130,122,118,118,119,119,116,111,104,98,94,95,97,98,97,96,93,90,89,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,90,93,95,96,99,102,102,100,99,101,103,105,105,101,99,100,99,97,99,98,95,95,97,98,100,100,98,96,96,93,89,88,88,91,93,95,97,101,102,97,93,93,95,97,99,96,92,91,93,95,99,103,106,106,102,100,100,100,103,103,99,96,97,99,101,102,102,103,104,104,102,98,95,96,99,101,102,101,98,97,99,102,103,100,97,96,97,101,104,102,100,101,103,103,101,100,99,100,101,100,99,99,100,102,102,104,102,96,93,94,94,92,90,93,97,96,92,91,95,99,98,94,90,90,93,97,96,95,97,100,101,98,97,99,100,99,101,104,105,104,103,104,106,107,106,103,101,102,102,99,100,103,102,98,95,96,98,98,97,98,100,102,103,101,99,100,100,99,99,100,102,101,98,99,100,100,99,99,99,98,97,98,100,99,98,98,98,99,99,97,95,96,98,98,99,101,102,102,102,101,100,101,103,105,106,103,99,97,99,102,107,107,101,95,94,94,94,95,97,97,96,98,103,106,105,101,99,100,102,102,101,100,100,101,101,99,98,99,103,108,108,108,108,109,109,108,107,107,107,108,108,107,106,106,107,107,107,107,107,107,107,107,108,109,109,109,110,109,108,109,109,109,109,109,110,111,111,109,109,109,108,107,107,108,109,108,107,106,107,107,107,108,108,107,107,107,108,109,107,106,107,107,107,106,105,105,104,104,104,103,101,99,95,90,89,89,89,91,95,99,99,98,99,100,101,103,107,110,111,109,105,100,95,92,90,92,92,92,92,93,93,94,97,99,101,104,108,111,111,109,108,107,107,107,108,109,110,110,110,110,110,110,110,111,110,109,109,108,108,109,109,108,108,109,110,110,110,109,109,110,110,109,108,107,108,110,110,109,109,111,111,111,110,110,110,110,109,108,108,108,108,108,108,107,106,108,108,106,107,108,108,108,108,109,110,109,108,108,108,106,104,105,106,105,103,102,102,null],[147,141,134,130,132,136,141,144,145,143,142,145,149,150,153,153,147,141,138,133,130,127,125,123,125,127,126,126,129,132,135,132,125,121,124,126,123,119,119,124,123,119,121,123,124,128,131,130,124,118,118,120,118,115,110,104,96,91,90,92,94,95,93,93,93,90,89,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,89,91,95,98,98,102,104,102,99,100,102,103,105,105,99,97,98,98,97,99,97,94,95,97,99,100,99,97,95,95,93,91,89,89,89,91,93,97,100,100,96,93,93,95,96,97,95,92,90,92,97,102,105,106,104,102,101,101,101,101,100,97,96,99,101,103,104,104,103,103,103,101,97,95,96,98,101,102,102,100,99,99,102,103,101,97,96,96,99,103,101,100,102,104,104,100,98,99,102,103,102,98,96,97,100,102,105,104,96,92,95,97,95,92,92,95,97,94,91,93,98,99,95,90,89,92,95,95,95,98,101,101,99,98,99,100,99,101,104,104,104,103,104,106,107,104,101,99,101,102,101,100,102,102,99,97,97,97,97,97,98,100,102,102,101,100,100,100,99,98,100,103,102,98,98,100,101,100,98,99,98,98,99,99,98,98,98,97,97,98,97,95,96,97,98,99,101,103,103,102,101,101,102,103,104,104,103,101,99,98,100,103,103,98,94,94,94,95,96,97,97,96,95,99,104,105,102,99,98,100,101,102,102,102,102,101,100,98,99,104,108,107,108,109,109,108,107,105,105,106,108,108,108,107,106,107,108,108,108,107,107,106,107,107,108,110,110,109,108,108,109,110,109,109,109,110,111,110,108,108,108,108,108,108,108,108,109,108,106,106,106,107,107,107,107,107,108,109,109,107,106,106,107,107,106,106,106,107,108,108,107,106,105,101,95,92,92,93,92,93,96,97,96,95,96,96,98,100,102,103,102,100,97,96,95,94,95,96,96,96,97,96,98,101,103,106,107,110,112,111,109,107,107,108,107,107,108,109,109,111,111,110,109,109,111,110,109,109,109,108,108,108,108,108,109,110,110,110,109,109,110,110,108,107,108,109,109,109,108,109,111,111,110,109,110,110,109,108,106,106,107,107,107,107,107,106,108,108,106,106,108,107,107,108,109,109,109,109,108,108,107,105,104,104,104,103,102,102,null],[134,132,130,130,131,135,143,148,147,144,143,144,146,148,149,147,143,139,138,135,131,128,123,119,121,123,121,121,124,127,129,129,127,125,124,123,121,118,119,121,119,116,118,120,121,125,128,124,118,117,120,120,115,109,104,98,92,88,89,91,93,92,91,92,92,88,88,88,87,88,88,87,87,87,87,88,88,87,87,88,88,88,88,90,92,96,101,102,103,106,103,99,100,104,105,106,104,98,95,96,96,96,98,97,94,96,99,99,98,98,97,96,95,94,92,89,88,89,91,93,96,97,98,96,95,94,95,96,96,93,91,90,93,100,105,107,105,103,102,101,101,100,100,99,97,97,101,104,104,103,102,102,102,103,101,97,94,96,99,102,104,103,101,100,99,101,101,99,97,96,96,99,102,102,101,103,104,103,100,97,99,102,104,103,99,96,96,97,100,104,103,96,91,94,98,97,93,91,94,96,95,91,91,96,99,96,90,88,92,95,95,96,100,102,102,100,99,99,99,99,101,103,103,103,103,104,106,106,104,100,98,100,102,102,102,102,100,99,99,98,97,96,97,98,100,101,101,101,100,100,100,99,98,98,101,102,99,97,99,101,101,99,98,98,99,99,98,97,98,97,96,95,96,96,95,95,96,98,100,101,102,103,102,101,102,103,103,103,104,104,103,101,99,98,98,98,96,94,95,95,95,96,98,98,96,94,96,100,103,103,100,99,99,100,103,104,103,102,100,100,99,100,105,107,106,107,108,107,105,103,103,105,106,108,108,108,108,107,108,108,108,107,107,107,107,107,106,107,109,109,108,106,108,110,111,110,109,109,110,109,108,107,106,107,108,109,109,108,107,108,108,107,106,106,107,107,106,107,109,109,109,109,108,106,105,106,107,107,108,108,109,109,109,109,110,111,108,101,96,96,98,98,97,98,97,94,95,96,96,96,96,95,96,96,96,96,97,98,99,98,96,94,97,101,102,102,104,106,107,108,109,110,109,107,106,107,108,108,108,108,108,108,111,111,109,108,108,110,110,109,109,109,108,108,108,108,109,110,109,109,109,109,109,109,109,108,109,110,110,109,108,108,109,110,110,109,109,110,110,109,106,105,104,105,105,106,106,106,107,108,107,106,106,107,107,107,108,108,108,109,109,108,108,108,106,105,104,104,103,102,102,null],[127,125,127,130,132,135,140,146,146,143,138,136,136,139,138,133,131,131,132,134,135,131,122,112,110,114,117,119,118,120,123,126,129,129,127,124,122,119,118,118,118,117,120,121,120,120,120,116,114,115,118,118,112,106,101,96,94,93,94,94,93,92,92,89,88,88,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,91,98,100,102,104,106,105,103,101,103,106,107,107,104,97,95,97,96,96,101,100,96,98,100,98,96,97,98,98,96,94,91,89,88,90,92,94,94,96,97,96,95,96,96,95,92,90,89,91,97,104,106,106,105,103,101,99,98,101,101,99,98,98,101,103,103,101,100,101,101,102,103,98,95,98,103,105,104,102,100,99,99,100,101,100,99,97,96,99,103,103,101,100,102,104,101,98,97,99,102,102,101,99,96,96,98,101,101,97,93,93,98,99,95,92,93,96,94,89,88,92,97,95,89,87,91,95,95,96,100,102,100,100,100,99,99,98,100,102,103,103,102,103,105,106,103,100,100,100,102,102,102,101,100,99,99,98,96,96,97,99,100,102,101,100,99,99,99,99,97,98,100,101,99,97,98,100,102,101,98,97,98,98,98,98,97,96,95,95,96,96,95,96,98,100,100,100,101,103,104,103,103,103,103,104,105,105,103,101,99,99,98,97,97,97,96,97,96,96,97,98,97,96,96,98,101,102,101,100,99,100,104,105,104,102,101,99,100,102,105,107,107,107,106,105,102,100,102,104,107,107,107,107,108,108,108,107,108,107,106,108,109,109,108,108,109,108,107,108,109,110,111,110,110,109,108,108,108,107,107,108,109,109,108,107,107,108,108,107,106,106,108,108,107,108,109,109,109,109,108,106,105,107,109,109,109,109,110,110,109,110,112,112,109,103,98,97,100,102,102,104,103,101,101,102,100,100,101,100,100,101,99,98,99,101,102,101,100,100,104,107,107,105,105,105,106,106,108,109,107,106,106,106,106,107,108,109,109,109,110,110,109,108,109,109,109,109,110,110,109,110,110,110,109,109,109,109,109,109,109,108,108,109,110,110,110,110,110,109,109,109,110,110,110,110,110,108,105,103,102,103,105,105,105,105,107,107,107,106,106,107,108,108,108,108,109,109,109,109,109,108,107,107,106,105,104,104,105,null],[126,124,126,129,130,131,134,139,141,138,130,122,123,130,130,124,119,117,122,130,135,131,120,107,104,108,112,114,115,115,119,123,127,127,126,124,122,120,117,116,117,121,124,124,121,117,114,114,114,115,118,115,108,102,98,96,95,95,96,95,93,91,91,88,88,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,92,97,98,100,104,106,104,102,104,106,107,108,106,103,96,95,98,97,97,102,102,97,99,101,98,95,96,98,99,96,94,92,89,88,91,95,95,93,94,97,97,97,96,95,92,90,90,92,97,103,106,106,105,104,103,101,97,96,99,100,98,99,100,102,103,101,99,100,103,102,103,105,99,95,99,103,103,102,100,99,99,99,101,102,101,100,98,97,99,103,103,100,98,100,102,102,100,98,98,100,101,101,100,97,96,97,99,100,100,95,92,95,98,97,94,93,95,94,90,87,89,95,96,91,88,90,94,95,96,100,102,100,99,100,99,98,99,100,102,103,103,102,102,104,105,103,101,101,101,101,102,101,100,100,100,99,98,98,98,99,99,101,102,100,98,97,98,99,98,97,98,100,101,100,98,98,100,103,102,98,96,96,97,98,98,97,96,96,96,97,97,97,97,99,101,100,99,100,101,103,103,102,102,103,104,105,104,102,101,100,99,98,97,98,99,98,97,97,96,96,97,98,97,96,97,101,103,102,100,99,100,104,105,104,104,102,100,100,102,105,106,108,107,105,104,102,102,103,105,107,107,107,106,107,108,107,106,106,106,106,108,109,109,110,110,108,107,108,109,109,109,109,109,110,110,109,108,108,107,107,108,109,108,107,107,107,108,108,107,106,107,108,109,109,109,109,109,109,109,109,107,107,108,109,109,108,109,110,110,110,110,110,109,106,103,99,98,99,103,106,109,108,107,107,108,105,105,106,106,107,108,106,103,103,104,105,106,106,107,110,110,109,107,106,105,105,105,106,107,107,106,108,107,106,106,107,109,109,109,109,109,109,109,109,109,108,109,110,111,111,111,112,111,110,110,110,109,109,109,108,107,107,109,110,109,110,110,109,109,108,109,110,111,111,111,110,108,105,102,102,103,105,105,105,105,106,107,107,106,106,107,108,108,108,109,109,109,109,109,110,109,107,107,107,106,104,104,105,null],[125,124,125,126,126,125,126,129,134,130,121,112,113,125,132,125,113,107,114,124,128,126,116,105,104,105,105,107,111,114,117,119,121,121,121,122,122,121,119,115,117,122,124,123,119,115,113,114,115,115,116,110,102,96,94,94,94,94,94,94,93,91,91,87,87,87,88,88,88,87,87,88,87,87,88,87,87,88,88,88,88,88,90,93,97,98,100,103,105,102,101,105,107,107,107,105,101,95,95,99,97,97,102,103,98,99,101,98,96,95,97,97,95,95,94,89,89,95,97,96,94,95,97,98,98,96,94,91,90,94,100,105,106,106,105,105,104,102,100,96,95,96,97,96,99,103,104,101,98,98,102,105,103,103,104,99,95,98,101,98,97,98,100,101,100,102,103,103,100,98,98,100,103,103,101,99,98,99,99,98,97,98,101,102,102,100,98,97,97,98,100,101,97,93,92,96,98,96,94,94,94,91,88,88,93,96,95,91,91,95,96,97,101,102,101,100,100,99,98,99,100,101,102,103,103,102,103,104,102,101,100,100,101,101,101,100,101,102,101,100,100,99,99,100,102,102,99,96,96,98,99,98,97,98,100,102,102,100,99,102,104,102,98,95,95,97,97,97,97,98,98,97,97,98,99,99,99,100,99,99,99,100,102,102,101,101,103,105,104,101,100,101,101,99,96,95,97,99,99,98,97,96,96,96,97,96,95,96,100,102,102,99,98,100,103,104,104,105,103,99,99,102,104,106,107,106,104,105,106,106,106,106,107,108,108,106,106,106,106,106,106,106,107,108,108,107,109,110,108,108,109,109,109,108,107,107,109,111,111,109,107,107,108,108,107,107,107,107,107,107,107,108,107,107,108,109,109,108,108,109,109,109,108,107,107,108,108,108,108,108,109,111,110,109,107,105,104,103,102,101,101,103,107,109,109,109,109,109,108,108,109,110,111,112,111,109,107,107,108,110,111,110,108,108,108,108,108,107,106,106,106,106,106,107,109,109,107,106,106,108,108,108,109,109,109,110,110,109,108,108,108,110,111,112,112,110,111,112,111,110,109,109,108,107,107,107,107,107,108,108,107,107,107,109,110,111,111,111,110,108,105,103,103,104,105,106,106,106,106,107,107,107,106,106,107,107,107,108,109,109,109,109,110,110,108,107,107,105,103,102,103,null],[123,121,122,124,124,122,121,123,127,126,121,112,112,123,132,129,116,108,111,118,120,117,111,105,102,101,99,102,109,115,117,114,115,116,118,120,122,124,120,116,114,117,118,118,115,111,111,113,114,112,109,103,95,90,90,91,93,95,95,94,93,91,87,87,87,88,88,87,87,88,88,87,87,87,87,88,88,87,87,88,88,89,91,94,97,99,101,103,103,102,102,104,106,107,106,103,98,92,94,100,99,97,102,103,99,98,100,99,96,95,96,96,94,95,95,91,92,97,98,96,94,95,97,98,98,96,94,92,94,101,107,107,105,105,105,106,105,102,98,95,96,98,97,97,100,104,104,99,96,99,103,104,103,103,103,98,95,99,100,96,95,98,100,100,100,102,103,102,100,96,96,98,101,103,102,100,98,97,96,96,96,97,101,103,102,100,99,99,97,97,99,101,100,95,92,94,98,98,94,91,91,91,90,89,90,94,97,94,92,94,95,96,100,101,99,99,99,99,100,101,101,101,104,104,103,103,104,104,102,101,101,100,100,100,101,101,102,102,102,101,100,99,99,99,101,102,99,96,96,97,99,99,97,97,100,104,104,103,102,103,105,103,99,96,96,98,97,96,96,98,98,97,97,99,101,99,98,99,101,100,99,100,101,101,100,101,104,105,104,102,102,103,102,100,98,97,98,100,100,99,97,96,95,95,96,97,96,96,98,101,101,99,99,100,102,103,103,103,101,98,99,104,106,107,106,105,105,106,107,107,106,107,108,108,108,107,106,106,106,106,107,107,107,108,107,107,107,108,108,109,109,110,109,108,107,107,109,110,110,109,108,108,108,107,107,107,107,108,107,107,108,109,107,107,108,108,108,108,109,108,108,108,107,107,107,108,109,109,108,108,108,108,108,107,105,103,103,105,106,105,105,106,107,108,108,109,109,109,110,109,109,110,111,111,112,112,109,108,108,110,110,108,107,108,109,109,108,108,107,107,106,106,106,107,108,107,107,107,108,108,108,108,109,110,111,111,110,110,109,109,109,109,110,111,111,110,111,112,111,109,110,110,109,109,107,105,105,106,106,107,107,106,106,108,109,110,111,110,109,108,106,105,104,105,106,106,106,106,107,108,108,106,105,106,107,107,107,108,109,108,108,109,110,109,108,107,107,106,103,101,101,null],[120,117,118,121,123,122,121,121,122,121,118,113,113,120,127,128,120,113,111,112,112,109,105,102,99,97,97,99,105,112,114,111,111,114,116,118,121,124,122,117,112,111,112,111,110,109,109,111,111,106,100,95,90,88,88,91,93,94,95,95,94,92,87,87,87,88,88,87,87,88,88,87,88,87,87,88,88,87,87,88,88,90,92,95,98,100,103,102,100,101,102,105,107,108,105,101,96,90,93,100,99,96,100,103,100,98,98,99,97,95,96,96,95,95,94,92,94,98,98,96,95,96,98,99,99,97,95,95,99,105,107,105,103,105,106,107,107,103,97,94,95,99,100,99,101,102,101,96,96,100,103,102,101,102,102,97,95,99,99,95,95,99,100,99,100,102,103,101,98,95,94,96,100,103,104,102,99,98,97,96,96,96,100,104,104,101,101,100,97,95,98,101,102,99,93,92,96,99,96,91,90,91,92,90,88,90,95,96,95,94,94,96,99,100,98,98,100,101,101,100,99,101,104,104,103,104,104,103,100,100,101,101,100,100,101,102,102,102,102,101,100,99,98,99,101,101,100,98,96,97,98,99,97,97,99,103,105,105,103,104,104,103,101,98,97,98,98,97,97,98,97,95,96,99,101,99,97,99,101,100,99,100,101,100,100,101,104,106,105,105,105,105,103,101,100,98,98,99,100,99,97,96,95,95,96,97,96,95,96,99,101,100,99,100,102,103,102,100,97,95,100,106,109,107,106,105,105,106,106,106,106,107,108,108,108,107,107,106,106,107,108,108,107,108,108,107,107,107,109,109,109,110,110,108,108,108,109,109,108,108,108,108,108,107,107,108,108,108,108,108,109,109,108,108,109,108,107,108,109,108,108,108,108,106,106,108,110,110,109,108,107,106,106,106,106,104,103,105,106,107,107,108,108,107,107,107,108,109,110,110,109,109,108,109,110,110,110,109,108,107,107,107,107,108,109,108,107,107,108,108,107,106,106,106,107,106,106,108,110,109,108,108,109,111,112,111,110,110,110,110,109,109,108,109,110,110,110,110,109,109,111,112,111,111,108,104,104,105,105,105,107,106,106,106,107,109,110,110,108,107,107,105,105,105,106,105,105,106,107,108,107,105,105,107,107,107,107,109,109,107,107,108,109,109,108,107,107,106,104,102,100,null],[118,115,114,118,122,122,120,118,118,114,109,107,109,114,118,119,116,112,109,106,106,105,103,99,96,96,96,97,100,105,109,109,110,113,115,117,119,121,120,116,112,109,108,109,109,107,107,110,107,99,92,89,88,89,91,94,93,91,93,94,88,88,87,87,87,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,89,91,94,98,98,99,100,100,97,96,100,106,109,107,103,99,95,90,93,100,97,93,98,102,101,98,97,99,98,96,97,98,97,96,95,94,95,97,97,96,96,97,98,99,101,100,97,98,104,105,104,103,103,105,106,105,105,102,97,94,95,98,101,102,103,101,98,95,97,101,103,100,99,101,101,98,96,98,98,95,97,100,100,99,101,103,103,100,96,95,94,96,99,102,104,103,101,99,99,99,99,97,98,104,106,104,104,101,96,94,96,100,103,102,95,91,93,96,96,95,92,91,91,91,87,86,90,95,97,96,95,98,101,101,99,100,101,100,99,98,98,100,103,103,103,104,105,103,99,98,101,102,102,100,100,101,101,101,100,99,98,97,98,100,101,101,100,98,96,97,98,98,97,97,99,103,105,104,102,102,102,103,103,101,98,96,97,98,98,97,96,95,95,97,99,98,97,98,100,100,99,99,99,99,98,99,102,106,107,107,106,105,105,103,99,97,97,99,101,100,98,96,96,97,97,97,96,95,95,97,100,100,99,100,102,104,102,98,94,94,101,109,110,108,107,106,105,105,105,105,105,107,108,108,107,107,107,107,106,106,108,109,109,109,109,108,108,109,110,109,108,109,109,109,108,108,108,108,107,108,108,108,108,108,108,108,109,109,108,108,108,108,108,109,109,108,107,108,108,109,109,110,109,106,105,107,109,110,110,107,105,105,107,107,106,106,103,102,104,106,107,108,108,107,106,106,107,108,109,110,109,108,108,109,109,109,110,110,108,106,106,108,109,109,107,106,106,106,107,108,108,106,105,105,107,106,106,107,109,109,109,109,108,109,111,110,109,109,110,110,109,108,106,107,109,109,109,108,109,110,110,111,112,111,109,106,106,105,104,105,106,106,106,106,107,108,110,110,109,107,106,105,105,104,104,104,104,106,107,106,105,105,106,108,108,107,107,108,109,107,106,106,107,108,108,107,107,106,105,103,101,null],[118,115,113,117,122,122,120,117,113,107,102,102,108,113,112,111,111,111,109,105,103,106,105,101,98,98,98,97,96,101,105,108,110,111,114,116,116,116,115,112,108,106,108,110,109,108,109,108,100,91,86,85,87,90,93,94,91,89,91,92,87,88,88,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,92,94,97,97,98,99,98,95,96,101,107,107,104,100,97,93,89,92,99,96,92,96,100,100,98,96,97,97,96,97,98,98,96,95,95,97,97,96,96,97,98,99,102,104,102,99,101,106,107,103,100,102,105,105,104,101,99,97,95,95,99,102,104,103,99,95,96,100,102,101,99,100,102,100,97,96,98,99,98,100,102,101,99,100,101,101,98,96,95,95,96,98,101,103,103,101,99,100,101,101,98,98,102,105,104,104,102,98,95,94,96,100,102,97,91,90,93,96,96,93,91,91,91,88,85,87,93,97,96,96,99,102,102,100,100,100,99,98,97,98,100,102,101,101,104,105,103,99,98,99,101,101,99,99,100,100,99,96,95,96,97,98,100,101,100,99,97,96,96,97,98,97,97,99,102,105,103,101,102,101,102,103,103,99,96,96,97,98,97,98,97,95,96,99,100,99,97,98,100,99,98,99,101,101,100,103,106,108,107,106,107,107,106,102,98,97,98,100,99,97,96,96,97,96,96,96,95,94,96,98,99,99,99,101,103,103,99,94,95,102,109,110,108,106,105,105,105,105,106,106,107,108,107,106,106,107,107,106,107,108,108,108,109,108,108,109,110,110,109,108,108,109,109,108,107,108,108,108,108,108,108,109,110,109,108,108,108,108,108,108,107,109,109,109,109,109,108,108,109,110,110,108,106,105,106,109,110,110,108,104,104,108,109,109,109,105,101,103,106,107,108,108,106,106,106,107,108,108,108,108,107,107,108,107,107,109,109,107,104,105,108,110,109,106,106,107,108,108,108,107,105,105,105,107,107,106,107,108,108,109,109,108,108,108,108,108,108,108,107,107,107,106,106,108,109,109,109,109,110,110,111,111,110,109,109,108,106,105,104,105,107,107,106,107,109,109,109,109,107,106,106,105,103,102,102,103,104,104,104,104,106,107,108,108,108,108,108,109,108,107,106,106,106,107,108,108,107,105,103,101,null],[118,115,114,117,122,122,120,114,108,102,100,103,110,115,112,107,108,111,111,107,105,107,108,105,102,100,99,97,95,100,104,106,106,109,112,113,112,110,109,108,105,105,109,111,108,109,109,103,95,86,84,86,88,90,92,91,89,90,87,87,87,88,88,88,87,87,88,88,88,88,88,87,87,87,87,88,87,87,88,89,91,94,95,96,96,98,100,99,97,100,104,106,102,98,98,94,89,87,91,98,96,92,95,98,99,98,97,97,96,95,95,97,98,97,96,96,97,97,96,95,98,98,98,103,104,102,100,102,107,108,104,100,100,104,105,103,99,96,96,95,96,101,104,104,102,97,95,99,102,100,97,97,101,102,98,95,95,99,101,101,103,103,101,98,98,99,99,97,96,95,95,96,98,100,102,103,100,98,98,101,102,98,97,100,102,102,101,101,101,98,94,93,96,100,99,94,89,90,94,96,94,91,91,90,89,87,87,90,95,96,97,99,102,102,100,99,99,98,99,100,100,100,101,100,100,102,104,103,100,98,98,98,98,97,98,99,99,97,94,93,96,98,99,100,100,100,97,96,96,96,97,99,98,97,99,102,105,103,100,101,100,101,103,103,101,97,95,96,97,98,99,98,95,95,98,100,99,97,98,101,99,98,100,103,104,103,104,106,106,105,106,107,109,108,105,102,100,100,99,98,97,96,95,95,96,96,95,94,94,94,96,99,100,99,99,103,105,101,97,99,104,109,109,108,106,106,106,106,107,107,107,107,107,106,105,105,106,107,107,108,109,107,106,107,108,108,109,109,109,109,109,109,109,109,108,107,108,109,109,109,109,109,110,110,109,107,107,107,107,108,108,107,108,109,109,110,110,109,109,109,109,109,107,105,105,107,110,111,111,110,105,104,108,110,111,110,106,103,105,108,108,108,108,106,106,107,108,108,107,107,107,106,106,106,106,107,107,106,105,104,105,107,109,108,106,107,109,110,109,108,106,105,105,105,107,107,107,108,108,108,108,108,108,107,105,106,107,107,106,105,105,106,107,107,107,109,111,111,110,109,111,111,110,110,110,110,109,107,105,105,105,106,107,106,107,109,109,107,107,107,107,106,105,103,101,100,102,102,102,102,104,106,106,106,107,107,108,108,108,108,107,106,105,105,106,108,109,108,106,103,101,null],[117,113,115,118,122,123,117,108,103,100,101,106,111,112,108,105,107,110,112,110,107,107,109,109,104,99,97,97,98,100,101,101,103,107,111,110,105,103,104,107,109,108,109,108,107,108,105,96,90,88,89,92,94,93,92,89,89,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,88,88,88,87,87,88,89,90,93,96,97,97,95,96,100,102,102,105,106,103,100,97,96,92,88,86,91,98,96,92,94,98,99,98,97,99,98,96,94,94,95,96,96,94,96,97,95,95,99,99,98,100,102,101,102,105,107,105,101,100,103,105,106,103,99,95,94,95,98,103,104,102,100,98,98,102,103,99,96,98,100,99,96,94,95,99,102,102,101,101,99,97,96,98,99,99,97,96,95,96,98,100,101,102,100,98,98,100,102,100,98,99,100,100,100,102,103,101,98,95,94,96,100,99,92,90,94,96,96,93,91,90,90,90,89,90,93,96,97,98,100,101,99,99,99,99,100,101,101,101,101,100,99,99,101,102,100,98,96,96,98,98,98,98,98,96,93,94,97,100,101,100,100,99,96,95,95,95,96,98,98,98,100,102,104,102,99,98,97,98,100,102,102,99,95,94,95,97,98,97,96,95,95,99,100,98,99,101,99,98,99,101,103,103,104,104,103,103,105,107,107,106,104,105,105,104,102,101,100,97,95,95,96,97,96,94,94,94,96,99,100,99,100,102,104,102,101,103,107,110,110,108,107,107,107,106,106,107,108,108,107,106,104,105,106,108,107,107,109,108,107,108,109,109,108,109,110,110,109,109,109,108,108,107,107,108,109,110,110,109,109,110,109,108,107,107,107,107,107,107,108,109,109,109,109,109,109,108,108,107,106,106,108,108,109,110,112,112,109,107,107,109,110,110,107,104,107,109,107,107,108,108,107,106,106,107,107,107,107,107,107,106,106,107,106,105,105,105,106,108,108,107,106,107,108,109,108,106,106,107,106,106,107,107,107,107,108,108,107,106,106,106,105,106,108,108,107,106,106,107,108,108,108,110,112,113,112,111,112,111,110,111,112,111,109,107,106,105,105,105,105,105,107,109,108,107,107,107,106,106,105,103,100,99,101,103,102,102,103,105,105,104,105,105,106,106,107,107,107,107,106,105,106,108,110,109,107,105,103,null],[116,113,113,114,118,120,114,105,101,100,102,107,110,107,105,105,106,108,110,110,110,108,108,108,104,98,96,98,101,101,99,99,101,106,109,107,101,99,102,107,111,110,107,105,105,103,98,91,89,92,96,98,97,94,91,89,90,87,87,87,88,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,90,92,94,97,98,98,96,97,100,103,105,106,104,101,99,97,94,91,87,86,91,98,96,91,93,99,101,100,99,100,99,96,94,93,95,96,96,94,95,96,94,94,99,100,99,98,99,101,105,107,105,100,98,100,104,105,105,103,100,96,93,95,100,103,102,101,100,100,100,102,102,99,98,99,98,96,94,93,96,100,101,99,99,100,99,97,96,99,101,99,97,96,95,95,97,100,101,101,100,100,99,100,101,100,98,98,99,100,101,101,102,103,101,97,93,93,99,102,97,92,92,96,98,95,92,91,90,91,92,92,93,96,98,98,99,99,98,98,99,100,101,102,101,101,101,100,99,98,99,100,99,96,94,96,99,99,98,98,97,96,95,96,98,101,101,100,100,98,95,95,95,95,95,96,97,98,101,103,103,101,99,97,96,95,97,101,103,101,97,94,95,96,96,97,98,95,94,98,100,98,99,100,99,98,99,100,101,101,102,103,102,103,105,106,105,103,103,105,108,107,103,104,104,100,96,96,98,99,96,94,94,94,95,98,100,101,101,102,104,103,104,106,109,111,110,109,109,108,108,107,108,109,108,107,107,106,106,106,107,108,107,108,109,108,108,109,109,109,108,108,109,111,111,110,109,108,108,108,107,107,107,109,110,109,109,109,109,108,107,107,107,107,108,109,109,109,109,109,109,109,108,108,108,107,106,108,110,110,109,109,112,113,113,111,109,108,109,109,106,103,107,109,108,107,108,108,108,107,107,108,108,108,107,107,106,106,107,107,107,106,105,106,106,106,106,106,107,108,108,108,108,107,106,107,106,106,107,107,107,106,107,108,106,104,104,104,105,106,107,108,108,108,107,108,109,109,109,110,112,112,112,112,112,111,111,112,113,111,109,107,106,106,105,105,105,105,106,107,107,107,107,106,106,105,104,103,101,101,102,103,103,102,102,104,104,104,104,103,103,104,105,105,106,106,105,104,105,107,109,109,109,107,105,null],[117,115,111,108,110,114,112,107,102,100,102,106,107,105,103,103,104,105,107,109,111,110,107,104,101,100,99,101,102,101,100,102,104,105,104,103,101,99,101,105,107,106,104,102,99,97,94,91,91,94,99,100,96,91,89,88,87,87,87,88,88,87,87,88,88,87,87,87,87,88,88,87,87,88,88,87,87,88,91,94,97,97,97,98,100,100,98,101,104,103,100,99,99,96,93,90,86,85,90,97,96,92,94,100,104,103,100,99,98,96,95,94,95,97,97,95,94,94,94,95,97,98,99,99,99,102,104,104,100,96,97,100,102,103,103,102,100,96,94,97,102,103,101,99,100,101,102,101,100,101,101,99,97,94,91,91,96,102,101,98,98,101,101,98,95,99,101,99,95,94,93,93,96,100,101,99,101,102,101,100,99,99,98,97,99,101,102,101,101,102,101,98,94,94,98,102,101,95,91,95,99,96,93,91,90,90,91,94,95,96,97,98,99,99,97,96,97,100,102,103,102,101,101,100,100,100,99,99,98,96,95,97,100,99,98,98,98,97,97,97,99,100,101,101,100,97,94,94,96,95,96,97,97,98,100,102,102,101,100,99,97,94,95,99,103,103,100,97,95,94,94,97,99,97,94,97,99,98,98,99,98,98,99,101,101,100,102,104,104,104,105,105,104,104,103,104,107,106,103,104,106,104,100,97,98,99,97,95,95,94,94,96,101,104,103,102,103,104,105,106,109,109,108,107,108,108,107,108,109,109,108,106,106,107,109,107,106,106,108,109,108,107,107,109,109,109,108,107,108,110,112,111,109,108,108,109,108,107,106,107,109,109,109,108,108,108,107,108,109,108,108,110,109,109,109,109,109,108,107,107,108,108,107,108,111,112,110,110,111,113,113,112,110,109,109,108,105,102,105,108,109,109,109,108,108,109,109,109,109,109,107,105,105,106,107,108,107,107,106,106,104,102,102,105,109,110,108,108,108,107,106,105,106,107,108,108,107,106,106,106,105,103,103,104,105,105,105,107,108,109,107,107,109,110,110,111,111,110,111,111,111,111,111,112,112,111,108,107,106,105,105,106,107,106,105,105,106,107,107,106,106,105,104,103,103,103,103,102,102,102,103,104,104,104,104,103,103,103,104,104,104,103,102,102,104,106,108,109,109,107,105,null],[118,116,111,107,106,108,110,108,102,100,102,105,106,105,103,103,102,103,107,110,112,110,107,104,104,104,101,100,101,100,102,104,105,104,101,100,101,101,101,103,104,102,101,98,94,93,94,94,94,95,96,95,92,89,88,87,87,87,88,88,88,87,87,88,88,87,88,87,87,88,88,87,87,88,88,87,87,89,92,95,98,98,97,99,102,103,100,101,103,101,99,99,97,94,91,89,87,86,90,96,95,92,95,100,104,102,100,100,98,95,93,94,96,97,96,96,95,95,95,96,96,97,99,100,102,104,104,101,96,94,96,99,101,101,101,100,98,95,93,97,103,103,100,98,98,100,103,103,101,102,102,100,98,94,91,92,97,102,102,99,100,103,103,99,95,98,99,97,94,93,93,93,95,100,102,99,98,101,100,98,97,98,98,97,99,102,103,102,101,101,101,100,97,95,95,98,101,97,92,94,97,97,95,92,90,89,90,93,96,95,97,99,99,98,96,95,96,99,102,103,103,101,100,101,102,102,100,99,99,98,97,99,101,100,98,97,98,98,98,98,99,99,100,100,98,96,94,94,95,96,96,97,97,97,98,100,101,101,101,101,99,96,94,95,99,101,102,100,96,92,92,95,98,97,94,95,97,99,98,99,100,100,99,100,101,100,100,103,105,106,105,104,104,105,105,103,103,104,103,104,105,106,104,102,100,98,97,96,96,95,95,97,102,105,104,102,103,104,105,106,108,107,106,105,106,106,106,106,107,107,107,107,106,108,109,108,106,106,108,109,108,107,105,107,109,109,108,107,107,109,111,111,109,108,108,108,109,108,107,107,109,109,109,108,108,108,107,109,109,109,109,110,110,109,109,109,109,108,107,107,107,107,108,109,111,111,111,111,111,111,111,110,108,108,109,109,106,104,105,107,108,110,110,109,108,109,109,109,109,107,106,106,106,106,107,108,107,106,106,106,104,100,100,105,109,110,108,107,107,107,106,105,107,108,108,108,108,106,105,105,104,104,104,105,106,105,104,106,108,109,108,107,108,109,110,110,110,111,111,111,111,111,110,110,109,109,108,107,106,105,105,107,109,108,106,105,106,107,107,107,106,105,104,102,102,102,102,103,103,104,104,104,104,104,105,105,104,105,105,104,103,103,101,101,102,104,106,108,109,108,106,null],[116,115,112,111,110,108,109,108,103,101,103,105,106,107,106,105,103,105,109,111,110,107,105,106,108,107,103,100,99,100,102,103,104,102,99,98,101,101,101,100,100,99,97,93,91,93,96,97,96,95,93,91,89,89,87,87,88,88,88,87,87,88,88,87,87,88,88,88,88,87,87,88,88,88,88,87,88,90,93,96,98,97,97,99,102,104,102,101,101,100,100,98,95,92,90,88,87,87,91,97,96,92,94,99,101,101,99,100,98,94,92,94,96,97,95,95,95,96,97,97,97,97,99,103,106,106,104,99,94,94,96,98,99,99,100,99,96,92,92,97,103,102,99,98,98,101,105,105,102,101,101,100,99,96,93,93,98,102,103,101,102,103,103,99,96,96,98,96,94,92,92,93,95,100,102,99,97,97,98,97,96,97,98,97,99,102,103,102,103,102,101,102,100,95,93,94,97,98,95,93,94,97,96,93,91,90,89,91,94,94,96,99,98,96,95,95,96,99,102,102,101,101,100,102,104,103,101,101,102,100,98,100,101,99,97,96,97,98,98,98,98,99,99,99,97,95,94,94,95,97,98,99,98,97,97,98,99,101,102,101,100,98,95,94,95,99,103,103,98,93,92,94,97,97,95,94,97,101,100,99,101,102,99,99,100,99,100,103,106,108,106,103,103,105,104,101,100,102,104,104,103,104,106,105,100,98,97,98,97,96,97,100,103,105,105,103,102,103,104,106,107,106,105,104,104,106,106,105,104,105,107,108,107,107,107,107,107,107,108,108,108,106,105,107,109,109,108,108,108,108,109,110,110,108,107,107,109,109,108,109,109,109,109,109,108,108,108,109,109,109,109,110,110,110,109,109,109,109,108,107,107,108,110,110,110,110,110,111,111,110,108,106,106,108,110,109,107,105,105,105,105,109,111,109,108,108,109,109,109,107,106,107,107,106,107,108,106,104,105,106,104,100,100,105,110,110,108,106,106,106,105,106,107,108,107,107,108,106,104,105,105,105,106,107,107,106,105,106,108,109,108,107,107,108,109,110,111,112,112,112,111,110,109,107,106,107,107,107,106,106,106,108,109,109,107,106,107,107,107,107,106,104,103,102,100,100,101,103,104,104,104,104,103,104,106,106,105,106,106,104,103,103,102,100,100,102,104,106,108,109,107,null],[113,111,111,114,114,110,109,109,106,104,103,104,107,109,110,109,108,109,110,109,107,103,102,103,106,108,107,103,99,98,99,100,101,101,98,98,99,99,98,97,96,94,91,90,92,94,96,97,96,95,94,91,87,86,86,87,87,88,88,87,87,88,88,87,87,87,87,88,88,87,87,88,88,87,87,88,89,92,96,97,98,96,96,98,100,102,103,100,98,97,97,96,94,92,91,89,86,85,91,100,98,93,94,98,101,100,98,97,97,95,94,94,96,96,94,95,96,96,96,97,98,99,100,104,106,105,103,99,94,94,96,96,96,97,101,100,95,91,93,99,103,101,99,99,101,104,105,103,101,100,100,100,102,99,94,94,99,103,103,100,99,101,103,101,97,97,98,98,95,93,92,93,95,99,103,101,97,95,96,97,96,97,98,97,100,103,102,102,104,103,101,102,101,96,93,93,94,98,99,94,92,95,96,94,93,91,90,92,93,93,95,97,96,94,94,94,97,100,101,100,100,100,100,102,103,102,101,102,102,101,98,98,99,98,95,95,96,98,98,98,99,98,98,97,96,95,94,95,96,98,99,99,98,97,97,97,98,100,101,101,100,99,97,95,95,98,102,103,100,95,92,94,97,98,97,95,98,104,102,98,100,100,99,100,100,100,102,105,107,107,106,103,102,103,101,99,100,103,105,103,101,103,106,106,101,98,98,99,98,97,99,103,105,105,106,104,102,101,103,105,106,105,104,104,105,107,108,107,106,106,106,107,107,106,105,105,106,107,108,108,108,108,108,107,107,107,108,109,110,109,108,109,110,108,107,107,108,108,108,108,108,107,108,109,109,108,109,109,108,108,108,109,110,110,109,109,110,110,109,107,109,111,111,110,109,110,110,110,111,110,106,104,107,109,109,107,104,102,103,103,104,107,109,109,108,109,109,109,110,109,107,106,107,108,107,106,105,105,105,103,101,101,102,105,110,111,108,107,105,103,102,104,107,107,106,105,105,104,104,106,107,107,107,107,107,107,107,107,108,108,108,108,107,107,108,110,111,112,112,111,110,109,108,106,105,106,107,107,107,107,107,108,109,109,108,107,107,108,108,107,105,103,103,103,102,101,102,103,103,103,103,103,103,104,105,106,106,106,105,103,102,102,103,102,101,100,102,104,106,108,108,null],[113,112,113,116,117,113,112,112,111,108,105,105,108,109,109,109,109,108,107,106,104,102,100,100,102,105,108,106,102,99,98,99,99,99,98,98,97,97,96,93,91,90,88,88,90,92,94,95,94,94,94,92,87,86,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,87,87,89,90,93,96,96,97,97,99,101,101,100,101,99,96,95,95,94,94,93,90,88,85,84,91,100,99,94,95,99,102,99,97,98,99,98,96,95,95,95,93,94,95,96,95,96,98,99,101,103,104,103,102,99,96,95,95,94,94,97,100,100,95,92,94,99,103,101,99,99,104,105,103,101,99,100,100,100,102,99,93,94,101,105,103,98,96,99,102,101,96,96,99,101,98,93,92,93,95,100,104,102,99,98,99,99,98,98,96,96,99,102,103,103,105,103,101,100,99,97,95,94,94,97,99,96,92,92,94,96,95,92,92,93,94,94,96,97,95,93,94,95,97,100,99,98,99,100,100,102,102,101,100,101,101,100,97,97,99,98,95,94,95,97,97,98,98,98,97,97,97,96,94,95,97,99,98,97,97,98,98,98,99,100,101,100,99,99,98,97,95,96,99,103,103,98,94,94,96,99,98,95,98,103,102,98,100,100,99,100,100,101,105,108,108,105,103,102,103,102,101,100,101,103,105,105,102,102,104,104,102,99,98,98,99,99,100,104,104,103,105,104,103,101,102,104,105,105,103,103,105,107,108,107,106,106,106,107,108,106,105,105,106,108,107,107,107,109,109,107,106,107,109,110,110,109,108,110,110,109,108,108,109,108,108,108,108,107,108,108,107,107,109,109,108,108,108,109,109,109,109,109,110,111,109,107,110,112,112,109,108,109,110,110,110,109,105,105,108,107,105,102,100,100,102,103,104,105,106,106,107,109,109,109,109,109,108,106,106,108,107,106,105,106,105,102,100,100,101,102,105,108,108,104,100,99,101,104,106,106,105,104,103,104,106,108,108,107,107,106,106,106,106,106,107,107,107,107,107,107,108,110,111,110,110,111,111,110,108,107,106,106,107,107,107,107,107,107,108,109,108,107,107,107,108,107,105,103,102,102,103,103,102,103,103,103,103,103,104,105,105,105,106,105,105,104,103,102,103,103,101,100,102,104,105,106,107,null],[115,115,115,115,115,114,114,115,115,112,107,107,108,106,105,105,104,103,102,101,101,102,101,98,98,102,105,106,104,100,99,100,99,98,98,98,96,95,93,89,87,88,89,89,89,91,92,92,93,89,88,88,87,87,87,87,87,88,88,88,87,88,88,87,87,88,88,87,87,88,88,87,87,87,88,89,92,94,95,95,97,101,105,105,103,100,98,95,94,95,95,94,95,94,90,87,85,84,90,99,99,94,96,100,101,96,95,100,102,99,97,96,95,94,93,93,94,95,94,95,97,100,101,102,102,100,98,97,96,95,94,93,95,98,100,98,95,93,94,100,103,102,100,100,103,104,102,100,100,102,103,101,102,99,94,95,102,105,102,97,96,99,102,100,96,96,100,102,99,94,93,94,96,101,104,103,101,101,102,101,100,98,95,93,96,101,104,104,103,102,99,97,97,98,96,94,93,95,96,96,93,90,93,96,94,92,92,94,95,96,97,96,94,93,94,96,97,98,98,99,101,102,101,101,101,100,100,99,99,98,97,97,98,98,96,94,94,96,96,97,97,97,97,97,96,96,96,96,98,98,96,95,96,98,98,99,100,102,102,101,99,98,98,97,96,95,97,103,105,101,96,93,96,99,98,95,96,100,101,100,101,100,99,99,100,103,106,108,107,104,101,102,104,104,104,103,102,103,104,106,106,103,101,102,102,101,99,97,97,98,100,102,101,100,102,104,103,101,102,103,105,104,103,102,103,105,107,107,106,105,106,108,108,107,107,108,108,108,107,105,107,108,108,107,107,108,109,110,109,108,109,110,110,109,109,109,110,109,107,107,108,108,108,107,106,106,108,109,109,109,109,109,108,107,109,110,110,110,109,109,111,112,111,108,107,108,110,110,110,109,106,108,110,106,100,100,99,98,101,104,105,106,106,103,104,107,108,108,107,108,108,107,106,107,107,106,106,106,105,102,99,98,98,99,99,102,103,100,96,98,102,104,105,105,104,104,104,106,108,109,109,108,106,106,105,104,103,105,106,106,106,106,108,109,109,110,110,109,110,111,111,111,110,109,108,107,107,107,108,108,108,107,107,109,109,108,107,107,106,106,106,103,101,100,102,103,103,103,104,104,104,104,105,105,105,105,106,106,106,106,105,104,104,103,102,103,104,106,106,106,107,null],[111,112,111,110,110,112,113,112,112,110,107,107,106,103,102,102,101,99,98,98,100,102,101,98,99,102,104,103,101,98,97,98,100,101,99,96,93,91,89,84,85,89,91,95,98,94,90,87,87,87,87,88,88,88,88,88,88,87,87,87,88,88,88,87,87,88,88,87,87,88,88,87,87,87,88,90,93,94,96,96,100,105,108,106,102,98,95,93,93,95,95,95,96,94,90,87,85,84,90,99,100,96,97,99,99,93,93,99,101,98,96,95,95,94,94,95,95,94,93,95,97,100,101,101,98,96,95,95,95,94,94,96,99,101,101,98,94,92,95,99,102,101,98,98,99,102,102,101,101,104,104,101,101,98,95,97,103,105,102,97,96,98,101,101,97,95,98,101,99,95,94,95,95,99,102,102,101,100,99,99,98,97,95,93,95,100,103,103,101,101,100,97,98,100,98,94,94,94,94,95,94,92,92,95,94,92,92,93,95,96,96,94,93,93,94,96,97,98,100,101,102,102,102,101,100,100,100,100,100,99,97,96,97,98,96,94,94,96,96,96,97,98,98,96,95,96,97,98,97,97,96,94,96,98,98,98,99,102,102,100,98,98,99,98,97,96,96,99,102,102,99,95,95,98,98,95,95,99,102,102,100,99,99,100,101,103,105,105,105,103,103,103,103,103,103,103,103,102,103,105,107,105,102,101,103,104,102,98,95,97,100,101,100,98,100,103,103,102,103,104,105,105,104,102,101,103,105,107,107,105,107,108,107,106,107,109,108,107,106,105,106,108,108,108,108,109,110,110,108,108,109,110,110,109,108,108,110,109,107,107,108,108,108,107,107,107,108,109,109,110,109,108,107,108,110,111,110,110,110,111,111,110,110,109,107,107,109,111,111,110,109,110,111,107,103,103,100,97,100,105,107,109,110,105,104,106,107,107,106,107,107,108,108,107,105,105,105,105,103,101,99,97,98,100,99,97,98,97,97,100,102,102,103,104,105,105,106,107,108,109,109,108,106,106,106,105,105,105,105,106,107,108,108,109,110,110,109,110,111,112,110,111,112,109,107,107,108,108,109,109,109,108,108,109,109,109,107,105,104,105,105,103,100,99,101,102,103,104,104,104,104,105,105,105,105,106,107,107,108,108,107,106,105,104,106,107,107,107,107,107,108,null],[107,106,103,103,106,108,108,107,106,105,105,105,103,101,99,99,99,98,97,96,98,100,100,99,102,103,102,100,99,99,98,98,99,100,99,95,91,90,89,87,88,91,93,101,109,98,87,87,86,87,87,88,88,88,88,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,87,87,88,89,91,94,96,97,99,103,107,106,103,100,98,95,93,93,94,95,95,95,94,91,88,85,84,89,99,100,97,95,97,97,92,91,97,99,97,95,95,95,94,94,96,95,94,93,96,99,100,99,99,96,94,94,95,95,94,94,96,99,102,102,99,93,91,95,99,100,97,95,95,97,101,103,101,100,102,102,100,101,99,96,99,104,104,101,98,96,98,101,101,98,96,97,100,98,94,94,95,94,96,99,101,101,99,96,95,95,96,95,94,95,99,102,101,100,100,101,99,99,100,99,96,95,94,94,94,94,94,93,92,93,93,92,92,94,95,94,92,91,91,93,96,98,100,101,102,101,101,102,101,99,100,100,100,101,101,98,96,96,98,97,95,95,96,96,96,97,99,97,94,94,95,97,98,97,96,95,95,96,98,98,98,99,101,102,100,97,98,99,99,98,97,95,95,98,102,101,97,95,95,97,96,95,98,102,103,99,97,99,100,101,102,103,103,102,103,105,105,103,102,103,104,103,102,102,103,106,108,104,101,102,105,105,101,96,95,97,100,100,99,99,102,103,103,103,104,105,106,105,103,100,101,104,107,106,105,106,106,105,106,107,108,107,106,106,107,107,108,109,108,108,109,110,110,108,108,109,109,108,108,107,107,108,108,107,108,108,108,108,108,109,108,108,108,109,110,109,107,107,109,111,111,110,110,110,111,109,108,109,108,106,105,107,110,111,109,110,111,111,109,107,105,102,99,99,102,106,111,111,107,105,106,106,106,106,106,107,109,109,106,104,104,103,103,102,101,100,97,99,101,99,95,94,98,102,103,103,102,102,103,105,105,106,106,107,108,108,108,107,106,107,108,108,107,106,106,108,109,108,109,110,109,109,110,111,111,110,111,112,109,107,107,108,109,109,109,109,109,109,109,109,109,107,105,104,104,104,103,101,100,100,101,103,104,104,104,104,105,105,105,106,107,109,110,110,109,109,107,106,106,108,109,108,107,107,108,108,null],[106,99,96,97,102,104,103,102,102,102,102,102,101,100,97,96,97,99,98,96,95,99,100,99,101,101,99,98,101,103,103,101,97,95,94,94,92,92,96,100,98,92,88,89,90,89,88,87,87,87,87,88,88,87,87,87,87,87,88,88,88,87,87,88,88,87,87,87,88,88,87,87,88,88,89,92,96,98,98,103,106,104,100,99,99,98,95,93,92,92,93,93,94,94,92,90,87,83,87,95,98,95,94,96,97,94,93,96,98,96,96,95,94,93,94,95,96,95,95,98,102,101,98,97,94,92,94,96,97,95,93,94,97,100,101,98,92,93,98,100,97,93,92,94,100,104,104,102,98,97,98,101,102,99,95,98,102,102,100,98,97,99,101,102,99,95,95,98,97,94,94,94,93,96,100,103,103,100,95,93,93,94,94,93,94,98,101,101,98,98,100,101,101,99,99,98,95,94,95,93,93,95,94,92,92,93,93,93,93,94,93,90,89,91,94,97,99,101,102,102,100,100,102,101,99,100,100,99,100,101,100,97,96,99,99,95,95,96,96,95,96,96,96,95,95,96,97,98,99,98,96,96,97,98,99,98,99,101,102,99,97,98,98,99,98,97,95,95,97,101,101,98,95,93,93,94,95,96,100,101,99,98,100,100,101,103,104,103,102,103,105,105,105,105,105,105,104,102,100,101,104,108,107,102,100,103,107,106,101,94,94,99,102,101,99,99,101,103,103,104,105,107,106,103,100,100,102,104,104,103,104,105,106,106,106,106,106,106,107,107,108,109,109,108,108,109,110,110,108,108,108,107,106,108,108,108,107,108,109,109,109,108,108,109,109,109,108,108,108,109,109,109,109,109,109,110,110,109,109,108,108,108,108,106,104,103,105,109,109,107,108,110,111,108,105,104,103,101,98,99,103,108,108,105,105,108,107,105,104,105,107,109,109,106,103,102,102,102,102,103,102,99,98,99,96,95,97,102,106,107,106,105,104,104,104,104,104,105,106,107,109,109,108,108,108,108,108,108,107,106,106,107,107,108,108,108,108,109,109,110,111,111,110,109,109,108,108,109,109,109,108,108,108,108,108,107,106,106,105,105,104,103,102,102,101,102,104,104,104,105,105,105,106,107,107,108,110,112,112,110,108,108,107,108,108,108,107,106,106,106,106,null],[102,96,93,96,100,100,99,99,101,101,100,101,102,101,98,96,96,97,99,97,96,98,100,100,100,99,99,100,102,101,100,98,98,93,87,85,90,94,104,115,107,91,88,88,88,88,88,87,87,87,87,88,87,87,87,87,87,87,88,88,88,87,87,88,88,87,87,88,88,87,87,88,88,89,90,93,96,98,99,106,110,105,99,97,99,100,96,93,92,91,90,90,93,94,92,90,87,84,87,94,98,95,93,94,98,96,93,95,96,97,98,97,95,94,93,95,96,95,94,96,100,101,98,96,94,93,93,95,97,96,95,95,98,100,100,95,91,95,102,102,96,91,91,97,103,106,106,105,102,97,96,100,102,99,94,95,100,102,100,97,96,98,100,102,99,95,94,98,97,94,94,93,93,96,101,104,104,101,97,93,91,92,93,92,95,99,103,103,100,98,100,102,102,100,99,98,95,94,94,94,93,95,95,94,93,94,96,95,95,95,93,90,89,94,98,98,99,101,103,102,100,101,103,102,100,100,100,99,99,100,100,98,96,99,99,95,94,96,95,95,94,95,96,96,96,96,97,100,100,98,96,96,97,97,98,99,100,102,101,98,96,96,97,98,98,97,95,95,96,99,100,99,95,92,91,93,95,96,100,102,100,100,100,98,98,102,105,104,103,104,105,105,106,107,108,107,103,100,99,99,100,106,109,106,103,103,106,109,105,97,94,97,101,102,100,98,100,102,104,104,105,107,106,104,102,100,100,102,103,104,103,105,106,107,106,105,106,106,107,107,106,107,108,108,108,108,109,110,109,108,107,106,106,108,108,107,107,108,109,109,109,109,109,109,109,109,108,108,108,109,109,109,110,110,109,110,111,110,108,106,107,109,110,107,103,104,107,108,109,108,108,110,111,107,104,102,101,99,100,101,104,106,105,102,102,106,106,103,103,104,107,108,107,104,102,101,102,102,102,103,102,98,95,96,96,98,101,105,107,108,108,108,108,107,105,104,104,105,106,106,107,109,109,109,108,108,107,107,107,106,106,106,107,107,107,108,108,108,109,109,109,108,108,109,109,108,109,110,110,109,108,108,108,108,108,107,106,106,105,104,103,101,101,102,103,103,104,104,104,105,105,106,107,108,108,109,110,111,111,109,108,108,109,109,107,106,106,106,104,103,103,null],[98,96,97,98,98,97,96,97,100,100,98,100,104,103,101,98,94,94,97,98,97,97,99,100,99,98,99,99,98,97,95,96,99,94,82,80,88,89,90,91,91,88,88,87,87,87,87,88,88,88,88,87,88,88,88,88,88,88,87,87,88,87,87,88,88,87,87,88,88,87,87,88,89,90,91,94,95,97,101,108,110,107,100,97,98,100,96,94,92,91,89,89,92,94,91,88,85,84,88,95,99,97,93,95,100,98,94,94,96,98,99,99,97,94,93,95,96,96,93,92,97,100,99,95,93,93,92,92,96,98,97,97,100,101,98,92,91,97,104,104,96,90,93,101,105,106,107,107,105,100,98,99,101,98,93,94,100,102,99,95,94,96,99,101,100,95,94,98,97,94,94,93,93,96,101,103,103,101,98,94,92,91,92,92,94,98,103,104,101,99,99,101,102,102,99,97,97,96,95,94,93,93,95,96,95,95,97,97,97,97,93,90,93,98,101,99,98,101,104,104,102,102,104,102,100,100,102,102,99,98,99,98,97,99,98,95,93,94,95,94,94,96,97,97,96,96,98,101,101,98,95,95,96,97,98,100,101,101,99,97,95,94,95,97,99,97,95,95,96,97,98,98,96,92,90,92,94,95,99,103,101,100,99,97,96,101,104,105,104,104,105,105,106,107,108,105,101,98,97,96,97,102,108,109,107,104,105,108,108,103,97,95,98,101,100,99,100,102,104,105,106,106,105,105,105,102,100,102,104,105,104,105,107,107,106,105,105,106,106,105,105,106,107,108,108,108,108,109,109,108,107,107,107,108,108,107,107,107,108,108,108,109,108,108,109,109,108,109,109,109,109,109,110,110,110,110,111,111,108,105,107,110,111,108,107,108,110,108,109,110,109,110,110,106,102,99,97,95,100,103,105,106,106,101,100,103,103,102,103,104,106,106,105,102,100,100,101,102,102,102,99,95,93,95,99,102,104,105,105,106,108,109,110,110,107,106,106,107,107,106,106,107,108,108,108,107,107,106,106,107,107,107,107,107,107,108,108,108,109,109,107,106,107,109,108,107,109,111,111,109,108,108,108,108,108,108,107,105,104,103,102,100,100,102,104,104,104,104,104,105,106,107,108,108,109,109,109,109,109,108,107,107,108,108,106,104,104,105,104,102,102,null],[97,99,100,100,97,96,95,95,97,97,95,99,103,104,103,100,95,92,94,97,98,96,96,97,96,95,96,93,93,96,99,90,90,89,87,87,88,88,88,88,88,88,87,87,87,87,87,88,88,88,88,87,88,88,88,88,88,88,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,91,93,95,96,97,100,106,108,106,102,98,97,98,98,95,93,92,90,90,93,95,92,87,84,83,88,94,99,98,94,96,102,101,96,95,95,98,99,99,97,94,94,96,98,97,94,94,99,102,99,94,92,93,91,90,94,97,98,98,99,99,95,90,91,99,106,104,95,90,95,104,106,105,106,106,104,102,100,99,100,98,94,95,99,101,99,95,92,93,97,101,100,95,94,98,97,95,95,94,92,94,97,102,101,100,98,94,92,91,92,93,93,95,100,102,100,98,98,99,102,104,101,98,97,97,95,95,93,92,95,98,98,98,98,97,98,96,92,90,95,101,103,100,98,101,104,104,102,102,104,102,101,102,103,103,100,99,99,98,97,99,99,96,92,92,94,95,95,97,99,98,96,96,99,100,98,96,95,95,96,97,99,100,101,100,98,96,95,94,95,97,98,98,97,95,95,95,97,100,99,94,89,90,92,93,97,102,102,101,100,98,99,103,106,105,104,104,105,107,107,106,105,103,100,98,96,94,96,100,105,108,107,104,103,105,107,106,101,98,98,100,99,98,98,100,102,104,105,105,104,105,105,104,103,104,105,105,104,104,106,106,106,106,105,105,105,105,106,107,107,107,107,108,108,108,107,106,107,108,108,108,108,107,106,106,107,108,108,107,107,107,108,108,109,109,110,111,109,107,108,109,108,109,110,110,108,105,107,109,109,109,110,112,111,108,107,109,109,107,106,103,99,97,93,91,95,100,101,105,108,106,104,103,101,101,103,104,104,105,104,102,101,100,100,102,104,100,95,93,95,99,102,103,104,103,103,105,106,108,110,109,107,107,108,107,106,107,107,106,105,105,107,107,107,108,108,108,108,107,106,106,107,107,108,108,108,108,107,107,107,108,108,107,109,111,111,110,108,107,107,108,108,107,107,105,104,104,103,101,101,103,104,104,103,103,105,105,106,108,108,109,110,110,109,109,108,107,105,105,106,107,106,104,103,105,105,104,103,null],[97,100,103,104,102,101,98,96,97,97,96,99,103,104,102,99,95,93,94,96,98,96,95,95,94,92,92,90,91,96,99,87,87,87,87,88,87,87,87,87,87,87,88,88,88,88,88,87,87,87,87,88,87,87,87,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,90,93,95,96,97,98,100,104,107,106,102,98,96,96,97,97,94,93,91,91,94,95,92,87,84,83,86,93,98,99,95,98,105,104,99,97,95,96,98,99,96,94,94,97,98,97,95,97,102,104,100,93,92,93,91,90,93,95,97,99,100,98,93,89,92,100,105,102,94,91,96,104,104,104,105,104,103,103,101,100,100,98,95,96,99,100,98,96,94,93,96,99,100,96,94,97,97,94,95,94,93,94,97,102,100,99,98,95,92,91,91,92,91,92,97,101,100,98,97,98,102,105,103,100,98,98,98,96,94,92,93,96,99,99,98,97,98,95,90,89,95,101,102,100,98,100,102,102,101,101,102,102,101,102,103,103,102,100,99,98,98,99,100,97,93,92,94,95,96,98,98,97,96,97,98,97,95,95,96,96,97,98,99,99,99,99,97,96,95,94,95,96,98,99,98,96,94,94,97,100,101,95,89,89,90,91,95,101,104,104,102,100,101,104,105,103,102,102,106,107,106,103,101,100,98,97,96,95,96,99,102,104,104,102,101,103,106,105,103,100,98,97,99,99,98,99,101,103,104,104,105,106,105,106,106,105,104,104,104,104,104,105,106,106,106,105,106,106,106,107,107,107,107,108,109,108,106,106,108,108,108,108,109,108,107,106,107,109,109,107,106,107,108,109,109,110,110,109,108,107,107,107,107,108,108,107,106,104,106,108,107,107,108,110,109,106,106,107,107,105,101,98,96,95,92,89,92,96,99,105,109,109,107,106,102,100,102,103,104,105,106,105,103,101,100,101,101,97,94,96,99,103,104,103,103,103,103,104,105,106,108,108,107,108,108,107,106,107,107,106,104,105,107,107,107,107,108,108,107,107,106,105,105,106,108,109,108,108,109,109,109,109,109,109,110,111,112,110,109,107,108,108,108,107,106,105,104,104,104,103,103,103,104,104,104,104,105,106,106,108,109,109,109,109,109,108,107,106,104,104,104,106,107,105,104,105,106,105,105,null],[95,99,103,108,109,107,102,99,101,101,100,102,104,103,100,98,97,98,98,97,96,96,95,93,92,91,90,91,88,88,88,86,86,87,87,88,88,87,87,87,87,87,88,88,88,88,88,87,87,87,87,88,87,87,87,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,91,94,96,98,99,100,101,104,107,104,101,100,97,96,96,97,97,94,91,91,94,95,92,88,84,83,85,90,97,99,95,99,107,108,103,98,95,94,98,99,96,95,95,95,96,97,96,99,104,105,100,94,92,93,93,92,92,93,95,99,99,96,91,89,94,100,104,100,95,93,98,102,103,102,103,103,103,102,101,100,99,97,94,96,99,100,99,97,96,95,96,98,98,94,94,97,95,92,93,93,93,95,96,102,101,100,98,96,93,91,91,92,92,92,95,100,101,100,98,98,100,103,104,101,99,99,100,99,95,91,90,93,97,99,98,97,98,96,90,89,96,102,102,100,99,99,100,100,100,100,101,101,100,101,103,103,102,99,97,98,98,100,100,99,96,93,94,96,97,97,98,98,97,96,95,94,94,95,95,96,97,99,99,98,98,97,97,97,96,95,95,96,97,99,99,96,93,93,95,99,101,97,91,89,89,90,94,100,104,106,104,102,102,103,103,100,99,102,105,105,102,99,98,97,97,96,95,95,96,99,101,101,100,98,98,101,104,104,101,99,97,96,98,99,101,100,101,102,103,104,106,108,107,106,105,104,103,102,104,104,103,104,105,106,106,107,108,107,105,106,108,108,107,107,108,109,108,108,108,109,109,109,109,108,107,107,108,109,109,107,107,108,110,110,109,109,109,107,106,107,107,107,108,108,107,105,102,101,104,108,107,105,103,105,108,108,107,107,106,104,100,96,93,94,95,94,95,97,99,104,108,106,106,108,103,98,99,101,103,105,106,106,105,103,101,100,97,94,95,100,104,104,104,104,104,103,103,105,106,106,107,107,107,108,108,107,107,107,106,106,106,107,107,107,106,105,105,106,107,107,106,105,105,106,108,110,109,109,110,110,110,110,110,112,112,112,111,111,110,109,109,109,108,106,105,105,103,103,103,104,103,102,103,104,105,106,106,106,106,108,109,109,108,108,108,107,106,105,104,104,105,105,106,106,106,105,105,105,106,null],[93,96,101,107,109,108,104,102,103,104,105,107,107,104,101,99,101,103,101,98,95,94,94,92,88,88,87,87,88,87,87,87,87,87,87,88,88,88,88,88,88,88,87,87,87,87,87,88,88,88,88,87,88,88,88,88,88,88,87,87,87,88,88,88,88,88,88,88,87,87,88,90,93,96,98,99,98,99,102,105,105,102,99,99,98,96,95,97,98,95,91,90,93,95,93,89,85,84,85,89,95,98,95,99,108,109,104,98,93,93,98,101,98,96,95,94,95,96,97,100,103,105,101,96,93,94,95,93,92,93,97,99,99,95,90,90,96,103,103,98,95,97,101,103,101,101,103,105,102,98,97,99,98,96,94,96,98,98,97,97,98,97,97,96,96,93,94,98,94,91,92,94,93,93,95,100,101,101,100,97,92,90,91,93,93,93,95,99,101,101,99,98,99,101,103,103,102,100,101,102,99,94,92,93,95,96,97,98,98,96,90,89,96,102,101,100,99,99,99,100,101,102,102,101,100,100,102,103,101,98,98,97,97,98,100,100,97,94,94,96,97,98,99,99,97,94,93,93,94,95,95,96,98,99,99,98,97,97,97,97,96,95,95,96,97,100,100,97,95,94,94,97,100,98,93,90,89,91,94,99,104,106,104,102,103,103,102,100,100,102,103,101,98,97,97,97,96,96,95,94,94,96,99,101,100,97,97,101,104,102,99,97,96,97,97,100,103,102,101,102,104,105,106,108,108,106,104,104,104,103,104,104,103,104,105,105,106,107,108,107,107,107,108,108,107,107,108,108,108,107,107,109,109,108,107,107,107,107,109,109,109,109,108,107,109,109,109,108,108,106,106,106,106,107,108,109,107,103,100,100,104,108,107,104,103,105,108,110,109,108,108,107,105,98,93,93,97,102,104,102,98,99,101,101,104,108,103,97,95,97,100,101,101,103,104,104,104,100,95,93,95,101,104,104,104,105,104,103,103,106,108,107,107,107,106,107,107,107,107,107,107,107,108,108,106,106,106,106,105,106,107,108,107,107,108,108,109,110,110,109,109,109,109,109,110,111,112,112,111,110,110,110,110,109,107,105,104,104,103,103,103,103,102,102,103,104,104,105,106,107,107,108,108,108,109,109,108,107,106,106,105,104,104,105,106,107,106,105,105,105,104,null],[94,97,101,105,104,103,102,103,104,105,107,109,108,105,102,102,105,107,104,99,94,92,92,92,88,87,87,87,88,87,87,87,87,87,87,88,88,88,88,88,88,88,87,87,87,87,87,88,88,88,88,87,88,88,88,88,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,91,94,97,99,99,97,98,102,105,105,102,100,99,98,95,93,96,99,97,92,89,91,94,95,92,87,85,85,88,94,97,94,97,105,108,104,98,93,93,98,101,98,97,96,95,94,95,97,99,101,103,102,98,95,94,95,94,92,94,98,99,97,94,90,91,98,104,103,98,95,100,104,102,101,102,104,104,100,95,95,100,100,96,93,94,96,96,96,99,100,99,98,97,95,93,94,98,94,90,92,93,92,92,94,99,101,102,101,98,92,90,91,93,94,93,94,97,100,101,100,98,97,98,102,104,104,102,100,101,101,98,95,93,92,93,96,99,99,95,91,91,97,101,101,99,99,99,99,99,101,103,103,102,101,100,102,103,101,99,99,97,96,96,99,101,98,94,94,96,98,100,101,99,97,94,92,92,94,96,95,96,98,100,99,98,98,97,97,96,95,94,95,97,98,100,100,98,96,95,94,96,99,99,96,91,89,91,94,98,104,105,104,104,104,103,102,101,101,101,101,98,96,96,97,98,96,95,95,94,92,93,98,102,100,97,98,102,105,102,98,95,96,98,98,101,104,103,102,103,105,105,106,108,108,106,104,104,105,105,104,104,104,104,104,104,106,107,107,107,108,108,107,107,107,107,107,107,106,105,106,108,108,107,106,107,107,108,109,109,109,109,108,107,107,108,108,107,107,107,107,106,106,106,108,109,108,104,100,101,105,108,107,105,106,107,108,110,110,110,109,110,109,101,94,92,99,108,112,107,99,96,96,97,101,104,101,96,94,95,98,97,96,98,101,104,104,100,95,93,95,98,101,103,105,105,104,102,102,106,107,107,107,107,106,106,107,107,107,108,108,107,108,107,106,106,107,107,107,106,107,109,109,110,111,111,110,110,110,110,109,108,108,108,108,108,110,111,110,110,110,110,110,108,106,103,103,103,103,103,103,102,102,102,103,103,102,104,106,108,108,108,108,108,110,110,108,108,109,107,106,104,104,105,106,106,105,105,105,105,104,null],[98,101,104,104,101,97,98,101,104,105,104,105,105,104,102,103,108,109,104,98,93,90,88,88,87,88,88,88,87,88,88,88,88,88,88,87,87,87,87,87,87,87,88,88,88,88,88,87,87,87,87,88,87,87,87,87,87,88,88,87,87,88,88,87,87,87,87,87,88,89,91,93,95,98,98,97,98,99,101,105,107,107,104,100,99,96,93,96,98,98,94,89,90,95,96,93,88,86,86,87,92,97,97,98,102,107,106,99,94,94,97,98,97,96,97,95,94,92,94,97,101,102,103,102,97,94,93,94,93,94,97,99,97,93,90,93,100,104,101,96,96,100,102,101,103,104,104,101,96,93,99,105,102,95,92,93,95,94,97,101,102,100,99,98,95,92,94,97,95,91,91,92,93,93,92,95,98,101,100,97,94,91,91,92,93,92,94,97,100,101,100,98,97,99,101,103,105,102,99,97,99,101,98,94,91,91,94,98,98,94,91,93,98,101,101,99,99,99,99,99,101,102,102,102,101,101,102,102,101,99,99,97,95,96,99,101,98,95,94,96,98,100,100,98,97,95,92,92,93,94,95,97,100,101,99,97,97,97,96,96,95,95,96,98,99,100,99,98,96,95,95,95,96,99,99,93,90,90,92,96,102,105,104,104,105,104,101,100,99,100,101,100,98,97,98,97,95,93,94,93,92,94,98,100,98,96,99,103,106,102,98,96,97,99,98,101,104,104,103,104,105,105,104,105,106,105,105,105,105,105,105,105,106,105,104,104,105,106,107,108,107,107,107,108,108,108,107,106,105,105,105,106,106,105,105,107,108,109,107,107,108,108,108,108,107,107,107,106,106,106,106,106,106,107,108,109,108,105,103,104,107,109,107,106,107,106,106,107,109,110,108,108,108,102,95,94,100,109,114,110,103,100,100,99,99,100,98,97,97,97,98,96,95,96,98,100,101,98,94,93,95,96,98,101,104,105,104,103,104,104,104,104,106,106,106,106,107,107,108,109,108,107,107,107,107,108,108,108,107,107,108,110,111,111,112,112,111,110,110,111,111,110,108,107,107,108,109,110,110,110,109,109,108,106,104,102,102,102,102,103,103,104,103,103,102,102,102,103,105,107,107,107,107,108,109,109,110,110,111,109,107,106,105,105,106,105,104,103,104,106,106,null],[99,102,105,104,99,94,94,98,102,101,99,101,103,104,102,102,105,106,101,96,93,89,88,87,87,88,88,88,87,88,88,88,88,88,88,87,87,87,87,87,87,87,88,88,88,88,88,87,87,87,87,88,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,90,92,95,97,100,97,95,97,100,102,105,107,109,107,102,100,97,93,94,98,100,95,90,90,94,95,92,88,86,86,86,93,98,99,99,102,106,106,100,94,93,96,97,97,97,97,97,95,93,95,98,101,102,103,103,99,94,94,95,94,94,96,98,95,91,90,96,100,100,97,95,97,100,101,102,104,105,102,97,94,96,101,104,101,94,91,93,96,96,99,102,102,101,101,99,95,92,93,97,96,92,92,92,92,92,91,93,96,98,98,98,96,94,92,91,92,92,93,95,98,100,101,99,100,101,102,102,103,102,99,97,98,101,100,96,92,90,92,96,96,93,91,93,98,101,100,99,100,100,99,99,101,101,100,100,100,101,101,101,101,100,100,99,97,97,98,100,100,97,94,95,97,98,98,97,97,95,94,93,94,94,95,98,100,100,98,97,97,98,97,96,96,96,97,98,99,100,100,99,97,95,95,94,94,98,100,96,90,89,90,94,100,103,102,103,105,104,102,100,100,101,101,101,100,99,97,95,93,94,94,93,93,95,97,97,96,96,100,105,105,102,98,98,99,99,99,101,103,105,104,103,104,105,104,103,103,104,105,105,105,105,105,106,106,106,105,104,104,106,107,108,107,107,108,108,108,108,106,105,105,105,105,105,105,105,106,107,107,107,106,106,107,107,107,107,107,107,107,107,106,106,106,106,105,105,106,106,106,107,106,106,108,109,108,108,107,105,104,106,109,110,108,108,109,103,98,98,103,109,112,110,108,106,106,105,102,99,97,98,99,100,99,99,98,97,96,96,96,95,93,94,97,98,99,100,102,103,104,105,105,104,104,104,105,106,107,108,108,107,107,108,108,107,107,108,109,108,108,108,108,107,108,110,110,110,110,111,111,110,111,112,112,112,110,107,106,108,108,109,109,108,107,107,106,104,102,101,101,102,102,102,103,104,104,103,102,102,102,103,104,106,107,107,107,107,108,109,110,111,112,111,109,108,108,108,107,106,104,103,104,106,107,null],[98,100,102,101,97,93,93,95,98,97,95,98,102,103,101,99,101,101,98,95,88,88,87,87,88,88,87,87,88,88,87,87,87,87,87,87,87,87,88,88,88,88,87,87,87,87,87,88,88,88,88,87,88,88,88,88,88,87,87,88,88,87,87,88,88,87,88,88,90,92,94,96,99,99,96,92,94,99,104,106,107,111,108,102,101,99,93,92,96,100,97,91,90,93,94,90,86,86,86,86,93,98,99,100,102,104,103,99,95,94,96,98,99,98,97,97,96,95,97,100,101,103,103,102,99,97,96,96,95,95,96,97,93,89,92,98,99,95,91,94,98,101,102,104,106,103,97,95,97,100,102,101,98,93,92,95,98,98,98,101,101,100,101,100,96,93,94,100,99,95,93,92,91,91,90,92,94,95,96,97,97,96,93,91,91,93,94,94,97,100,100,100,102,103,102,101,102,103,101,99,98,100,101,99,95,92,91,94,95,93,91,94,99,100,98,99,102,102,101,100,100,100,99,99,100,100,100,100,101,101,102,101,99,97,97,100,101,100,96,95,97,97,97,97,96,95,95,95,96,96,98,101,101,100,98,96,97,99,99,98,97,97,96,97,98,101,102,101,99,97,96,93,92,96,100,98,92,88,88,91,98,100,100,102,104,104,103,102,102,103,102,102,102,100,96,94,93,94,95,94,94,95,95,94,94,96,101,105,105,100,97,99,99,98,99,101,104,106,106,104,104,105,104,103,102,102,104,105,106,106,106,106,105,106,106,105,105,106,106,106,107,108,108,107,107,106,105,104,105,106,106,104,104,106,107,107,105,104,106,107,107,106,105,105,105,107,108,108,107,106,105,104,103,103,103,103,104,107,108,106,107,109,109,109,108,106,105,108,109,110,110,111,111,106,101,102,105,109,109,109,111,111,110,110,108,103,101,100,101,100,99,101,102,100,98,97,95,94,95,97,100,102,103,101,101,103,104,105,105,105,105,106,106,106,108,109,109,108,107,107,107,107,108,109,110,108,107,108,108,108,109,109,109,108,108,110,111,110,110,111,112,112,110,107,106,107,108,108,108,107,105,105,105,103,102,101,101,103,103,102,102,103,103,102,102,102,103,103,104,105,107,107,106,106,108,108,109,110,111,111,110,110,110,110,109,107,105,104,104,106,107,null],[97,98,97,97,96,94,94,95,95,94,93,94,98,99,97,96,91,90,89,89,88,87,87,87,88,87,87,87,88,88,88,88,87,87,87,87,87,87,88,88,88,87,87,87,87,87,87,88,88,88,88,87,88,88,88,88,88,87,87,88,88,87,88,88,88,88,88,89,90,93,96,99,99,96,92,91,91,96,104,107,108,111,109,104,101,98,95,93,93,96,95,92,91,92,92,88,85,85,85,87,92,98,99,100,101,102,102,99,97,95,95,97,99,97,95,94,94,95,97,100,102,103,104,102,99,97,96,96,96,96,95,96,94,90,94,98,96,91,90,94,99,102,104,104,102,96,93,98,103,103,102,101,97,93,92,94,97,96,97,100,100,99,100,100,97,93,95,102,103,98,94,92,91,91,90,92,94,96,95,96,97,97,93,91,91,93,93,94,97,99,100,100,102,103,103,102,102,103,102,100,99,99,100,100,98,95,93,93,93,93,93,96,99,100,98,98,101,102,101,101,101,100,98,98,100,100,99,100,101,102,102,102,100,97,97,100,102,101,98,97,98,97,96,97,97,96,95,96,97,99,102,102,102,101,100,99,98,99,99,98,97,96,96,96,99,101,103,103,101,98,95,93,92,94,98,98,95,89,86,89,95,99,101,103,105,106,105,103,103,103,102,102,102,101,97,95,95,96,95,95,95,95,94,94,94,96,100,103,102,98,98,102,101,99,99,101,104,106,105,104,104,105,105,104,103,103,103,104,105,105,106,105,104,104,105,106,107,106,105,104,106,107,107,106,105,105,105,105,105,105,105,104,105,106,107,106,104,104,106,108,108,106,105,105,105,106,108,107,107,107,105,103,101,101,104,105,105,107,108,107,108,109,110,110,110,109,109,110,111,111,111,111,111,108,104,102,103,106,107,108,109,110,111,112,112,109,107,104,102,99,97,100,103,102,102,101,99,99,100,102,104,105,105,104,103,103,103,103,104,104,105,107,107,108,108,108,108,107,107,106,106,107,108,109,109,108,108,108,108,109,110,110,109,109,110,111,111,109,109,108,108,108,107,107,107,106,107,108,108,107,106,105,104,103,103,102,103,103,103,102,101,101,101,101,102,103,104,104,105,105,106,106,106,106,107,107,108,109,110,109,109,110,110,110,110,110,108,106,106,106,107,null],[96,96,94,94,94,94,95,95,94,93,93,92,93,96,98,98,88,88,87,87,87,88,88,87,87,88,88,88,87,87,87,87,88,88,88,88,88,88,87,87,87,88,88,88,88,88,88,87,87,87,88,88,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,90,91,94,98,100,97,92,90,91,90,94,101,106,108,110,109,106,101,98,96,93,92,93,94,91,91,92,91,88,85,84,85,87,91,97,100,99,99,100,101,100,98,95,94,96,98,97,96,95,94,93,95,99,102,104,103,102,100,98,96,95,95,95,93,94,93,91,94,95,92,89,90,95,99,100,101,99,94,91,93,101,106,104,103,103,99,94,92,94,95,94,97,102,102,100,99,99,97,93,94,102,105,101,96,93,93,92,90,92,95,97,96,95,96,96,94,92,92,93,94,94,96,98,100,101,102,103,103,102,102,101,101,101,100,100,99,100,100,99,97,94,92,92,94,97,100,100,98,98,100,100,101,101,102,100,98,99,101,99,99,100,102,103,102,101,99,97,98,101,103,102,99,98,99,98,97,97,97,98,97,97,99,103,105,103,102,102,101,100,98,98,99,98,97,96,95,96,98,101,103,103,102,99,96,94,94,94,96,99,97,91,87,88,94,99,102,104,104,104,103,102,101,102,103,102,100,99,98,96,96,95,95,95,95,94,94,94,94,95,98,100,100,98,100,103,102,100,100,102,104,104,104,104,105,105,104,103,103,103,103,103,102,103,104,105,104,103,104,106,107,106,105,104,104,105,106,107,106,105,106,107,106,105,104,103,104,105,105,104,104,105,106,107,107,106,106,106,105,105,106,106,105,106,104,101,99,102,106,108,106,106,106,106,108,109,110,109,109,111,112,111,111,112,111,110,110,109,105,101,101,104,106,107,106,107,110,111,111,110,109,107,103,99,98,99,101,101,102,103,102,102,103,105,106,105,105,105,105,104,102,102,103,103,105,107,108,108,108,107,107,107,107,106,106,107,108,108,107,107,108,108,109,110,110,110,109,109,110,110,110,109,107,106,105,105,106,108,108,106,106,107,107,106,106,105,104,103,103,103,103,103,101,101,101,101,101,101,102,104,104,104,105,105,105,106,106,106,106,105,106,107,107,106,107,108,108,108,108,108,108,107,108,107,106,null],[93,93,93,92,92,93,94,89,89,88,88,87,88,88,88,88,87,88,87,87,87,88,88,87,87,88,88,88,87,87,87,87,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,90,93,97,100,99,94,90,89,90,90,92,97,103,107,108,109,107,103,99,97,94,92,92,93,91,90,90,91,89,86,85,85,86,92,98,100,99,97,99,100,101,98,96,95,97,99,99,99,98,97,95,95,98,102,104,102,100,99,99,97,95,95,94,92,92,91,92,93,94,91,89,91,97,101,100,95,92,90,93,99,103,105,103,104,104,100,94,91,93,94,92,94,101,104,102,100,100,98,93,93,100,104,102,98,95,94,92,90,92,96,98,97,96,95,95,94,93,94,97,97,94,93,95,99,101,102,103,103,102,101,101,100,101,101,100,99,99,101,101,99,96,93,91,93,98,100,99,97,97,99,98,99,101,102,100,97,98,101,99,98,99,102,104,102,100,98,97,98,102,104,102,100,100,100,100,99,97,97,98,99,101,104,107,107,102,101,102,101,98,97,97,98,99,98,96,94,95,97,99,101,101,101,100,98,96,95,94,95,99,99,93,88,88,92,98,102,102,101,100,99,98,99,102,104,101,98,97,97,97,96,94,94,95,96,95,94,94,94,95,96,98,100,101,102,101,101,102,103,105,104,103,103,104,105,105,104,103,102,103,103,102,101,101,103,104,104,104,104,105,105,105,106,105,104,104,106,108,108,107,106,107,108,107,105,102,103,104,104,103,104,104,104,104,104,105,106,106,105,105,105,104,104,105,103,100,100,102,106,107,107,106,105,105,107,108,108,107,105,108,111,110,110,110,110,110,109,108,105,101,102,105,107,106,104,107,111,110,108,106,106,106,105,103,102,101,100,98,99,101,101,99,100,104,107,106,105,105,105,104,103,103,104,104,105,107,108,107,107,107,108,108,107,106,106,107,108,106,105,106,108,109,110,111,110,109,108,108,108,108,108,108,107,105,105,105,107,108,107,105,106,106,106,105,104,104,104,102,102,102,102,102,100,99,100,102,103,102,103,104,104,103,103,104,105,106,106,106,105,105,104,104,104,104,105,106,107,106,106,106,106,107,109,107,105,null],[92,93,94,93,92,92,93,87,87,87,87,86,86,86,86,87,87,88,88,88,87,87,87,88,88,87,87,87,88,88,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,87,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,88,88,88,90,91,94,98,99,95,90,88,89,89,89,90,94,100,106,108,107,107,103,100,98,95,93,92,92,92,90,89,91,90,87,86,85,86,92,99,101,99,98,97,98,99,98,96,97,98,98,98,99,99,97,96,95,98,101,103,102,100,100,101,99,96,96,95,92,90,91,94,94,92,90,91,94,97,98,97,94,92,93,97,101,103,103,102,103,103,100,95,92,93,94,91,93,99,102,102,101,102,99,93,92,98,103,103,99,96,95,94,91,93,96,99,98,97,96,95,94,93,94,96,96,93,90,93,99,101,102,102,104,104,103,101,100,101,102,101,99,98,99,100,100,99,95,91,92,97,100,100,98,98,98,97,99,102,103,100,97,98,100,99,97,96,101,105,104,102,101,98,99,102,104,102,102,102,102,101,100,99,99,101,102,104,105,107,105,101,101,102,101,98,96,96,99,100,99,96,94,94,95,97,99,101,101,101,100,99,96,94,94,98,99,96,91,88,90,96,101,103,101,99,97,97,98,101,102,100,97,95,96,96,95,93,94,95,96,96,96,95,93,94,96,99,101,103,103,102,103,105,106,106,105,103,103,104,104,104,103,103,102,103,104,103,103,103,103,103,104,104,104,105,105,105,106,106,105,104,106,108,108,108,107,107,107,106,104,103,104,105,104,103,103,103,104,104,104,105,106,106,106,105,105,105,104,103,101,98,100,103,104,106,107,107,107,106,108,108,106,104,105,108,110,110,109,108,109,110,109,106,103,102,104,108,108,106,104,106,108,107,105,105,105,106,107,107,106,104,101,98,98,99,100,99,97,101,104,105,105,105,104,103,103,104,105,105,106,107,106,105,106,108,108,107,106,106,106,107,107,106,106,106,107,109,110,111,110,109,108,106,105,104,105,107,107,106,106,107,107,107,106,105,105,105,105,104,103,104,103,102,101,102,102,101,100,100,101,103,103,102,103,104,104,103,103,104,106,106,106,106,105,104,103,103,103,104,105,105,104,104,105,104,106,108,109,107,106,null],[88,88,89,88,88,88,88,87,87,87,87,87,87,87,87,87,87,88,88,88,87,87,87,88,88,87,87,88,88,88,88,88,87,87,87,87,87,87,88,88,87,87,87,87,87,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,90,91,93,96,98,96,92,87,87,89,89,88,88,92,100,107,108,106,105,104,102,100,97,93,91,91,93,91,89,91,91,88,88,86,86,92,99,103,102,99,96,95,96,97,97,98,98,97,97,98,97,97,97,97,97,99,102,102,101,101,102,99,97,98,97,93,89,92,97,95,90,90,94,98,98,97,96,97,98,99,100,101,102,102,101,102,102,100,95,92,93,94,92,91,96,99,102,103,103,100,93,92,99,103,101,98,94,95,95,91,93,96,99,98,97,96,95,93,92,92,93,93,92,91,93,97,100,101,102,105,106,105,102,101,101,101,101,99,97,96,97,98,99,97,93,92,96,100,101,99,99,98,98,100,103,103,100,98,98,100,101,96,94,99,105,105,104,103,99,99,102,103,103,105,105,104,101,100,101,103,104,104,105,105,104,102,101,101,102,101,99,96,96,99,101,100,97,94,94,95,97,99,101,100,100,101,100,97,94,94,97,100,99,94,89,90,94,100,103,103,101,99,99,100,100,100,99,97,95,95,94,93,93,94,95,96,96,95,94,93,95,99,102,103,103,103,104,106,107,107,106,104,103,104,104,103,103,104,104,103,104,104,104,105,105,104,103,103,104,105,105,105,106,107,106,105,105,105,105,106,107,107,107,106,104,102,103,105,105,104,102,102,103,104,104,104,105,106,106,106,106,106,106,105,103,100,97,99,102,104,106,107,108,108,108,109,109,106,105,107,109,110,110,108,107,108,110,110,104,100,103,107,109,108,106,105,105,106,106,106,106,106,106,109,109,108,107,104,101,99,99,100,99,98,99,101,103,105,105,105,104,103,104,106,107,108,107,106,105,106,107,108,106,105,106,107,107,106,106,107,108,108,109,109,110,109,108,107,105,104,103,104,106,106,106,107,107,107,106,106,105,105,105,105,104,103,103,103,102,102,102,102,102,101,101,101,102,102,102,103,104,104,103,103,105,107,106,106,106,106,104,102,102,104,105,105,104,103,103,104,104,106,108,108,106,106,null],[87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,87,87,88,88,88,88,88,87,88,88,88,89,89,88,88,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,87,87,88,89,91,93,95,98,98,94,90,87,88,89,89,89,89,92,99,106,105,104,105,104,104,102,100,95,91,92,94,91,89,91,91,88,88,87,87,93,100,104,103,100,95,93,95,97,98,98,97,97,99,100,97,97,98,98,98,99,101,102,100,99,99,97,97,99,98,94,91,92,95,92,88,90,95,101,102,101,100,100,101,101,101,101,101,100,99,101,103,100,96,93,95,96,92,90,94,98,102,104,104,100,94,95,101,103,98,93,92,94,94,92,93,96,100,99,97,96,95,93,92,91,91,92,92,92,92,94,99,101,102,103,105,105,103,101,100,99,99,98,96,96,95,96,98,99,95,92,94,98,100,99,99,100,100,101,103,103,100,98,99,101,101,96,93,97,102,103,103,101,98,99,102,104,105,106,106,104,101,101,103,104,104,104,104,104,102,101,101,101,101,101,99,97,97,98,98,98,96,95,95,95,96,98,100,100,100,101,101,98,95,94,96,100,101,98,93,92,94,98,102,105,103,102,101,100,100,99,98,96,95,95,94,93,94,95,97,97,95,92,90,93,98,101,103,103,102,102,103,106,106,105,104,105,104,104,105,104,104,105,105,104,104,104,104,105,105,104,102,102,104,106,107,107,106,106,105,105,104,104,103,104,105,105,105,104,102,101,102,103,102,101,100,101,103,104,103,103,104,105,105,106,106,106,105,103,101,99,99,100,102,105,107,105,106,107,107,109,109,108,108,109,109,109,109,108,107,107,110,110,103,98,103,109,109,107,105,105,104,104,106,107,106,105,105,107,108,108,108,107,103,100,99,100,100,100,100,100,101,104,106,106,104,104,105,107,108,109,109,108,107,107,106,105,104,104,106,108,109,107,106,107,109,111,110,109,108,108,107,106,106,105,104,104,106,106,106,107,107,106,106,107,106,106,107,107,106,104,103,103,103,103,103,102,102,101,101,102,101,101,102,103,104,103,104,105,107,107,107,107,107,106,103,102,102,104,104,104,103,103,103,103,104,106,106,106,106,106,null],[87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,87,87,88,89,90,90,90,89,88,89,89,89,89,88,88,88,87,87,88,88,88,88,88,88,87,87,88,88,88,88,87,87,88,88,87,87,88,88,87,87,88,89,92,94,96,99,98,93,89,87,89,90,89,91,91,91,97,102,102,103,105,105,104,103,100,97,93,93,94,92,90,91,90,88,87,86,86,93,101,103,102,99,96,95,95,97,99,98,96,96,100,101,97,97,98,97,99,102,101,100,98,97,97,96,97,99,97,93,92,92,92,90,88,89,95,103,107,106,104,103,103,102,102,103,102,100,99,101,104,101,97,94,96,97,93,91,94,99,104,105,103,100,94,96,102,102,96,92,91,94,94,91,93,96,99,99,98,96,95,94,92,91,91,90,91,93,92,93,98,101,101,102,104,104,103,101,99,98,99,97,95,95,95,95,97,99,98,94,93,97,100,99,100,101,100,101,101,101,99,98,99,102,102,97,94,97,101,102,100,98,97,99,102,105,106,107,106,105,103,104,105,105,104,103,102,101,100,100,101,100,100,100,98,96,96,96,96,96,97,96,94,95,96,98,99,100,100,100,100,99,97,95,96,99,101,99,96,95,95,97,101,103,103,102,101,100,99,98,96,94,94,95,95,95,96,98,100,99,94,91,92,97,101,103,103,103,103,103,104,105,105,104,104,105,104,104,105,104,104,105,105,104,104,104,104,105,104,103,103,104,105,106,107,107,106,104,103,103,103,102,101,101,101,102,103,104,103,101,100,99,98,98,98,99,100,101,101,101,103,103,103,105,106,104,103,102,101,101,101,102,103,105,105,104,105,107,107,108,109,110,110,109,109,109,108,108,109,108,109,108,103,100,104,109,108,107,106,106,105,105,107,107,106,105,105,106,105,105,107,106,104,101,99,99,100,102,101,100,100,102,105,106,106,106,106,107,109,110,109,109,108,108,106,105,104,104,105,107,108,108,107,108,110,112,111,109,108,107,105,104,106,106,105,105,106,106,105,106,106,106,107,108,108,107,107,107,107,105,104,104,104,104,103,102,101,101,102,102,102,102,103,104,104,103,104,107,107,106,107,107,107,106,104,102,102,103,104,103,103,103,103,103,104,104,103,105,106,105,null],[88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,89,89,91,93,93,92,91,91,90,90,90,90,89,88,88,88,87,87,87,87,87,87,87,88,88,87,87,88,88,88,88,87,87,88,87,87,87,87,88,89,90,94,93,95,99,100,95,89,87,90,92,91,92,91,90,94,100,101,103,105,106,105,103,101,98,96,96,95,93,91,90,90,88,86,84,85,93,100,100,99,99,98,97,96,97,99,99,97,96,99,100,98,97,97,97,99,102,101,97,97,98,98,98,98,98,95,92,92,92,91,89,88,91,97,104,108,106,104,103,103,102,103,104,104,102,100,102,104,101,97,95,95,95,92,90,93,98,103,104,102,99,95,95,99,100,95,92,91,90,91,91,93,95,96,97,98,97,96,95,94,93,92,91,90,92,92,93,97,100,100,102,103,104,104,102,99,100,101,99,96,95,94,94,96,98,99,96,94,99,101,100,101,102,101,100,100,99,97,97,100,103,102,98,95,98,101,101,100,98,97,99,102,103,104,105,105,105,105,106,107,106,104,101,98,96,96,98,101,102,101,99,98,96,95,95,95,96,97,96,94,95,96,98,98,99,100,99,98,99,98,96,95,96,98,99,98,95,94,96,99,101,102,101,100,98,97,96,94,93,94,95,97,99,100,101,101,99,95,95,99,103,104,103,103,103,104,104,105,106,105,104,105,105,104,103,104,104,104,105,104,103,104,105,105,105,104,104,105,106,106,106,107,106,104,102,101,100,100,100,100,99,98,99,102,103,104,103,99,96,95,96,96,96,96,97,99,100,101,102,103,105,105,103,102,101,102,102,103,103,102,101,102,104,106,106,107,107,108,110,109,107,109,109,106,107,108,109,107,104,103,104,106,107,107,108,108,107,106,106,107,106,105,106,107,106,104,103,104,104,103,102,101,99,100,102,102,101,100,100,101,104,107,108,107,106,108,109,108,108,108,107,107,106,105,104,104,105,106,107,108,109,110,111,110,109,108,106,104,104,105,106,105,105,105,105,105,104,105,106,108,108,108,107,106,107,107,106,105,104,104,104,103,101,101,102,102,102,103,103,104,105,105,104,105,106,105,105,106,107,107,106,104,103,103,103,104,104,103,103,103,104,103,102,101,103,105,104,null],[88,88,87,87,88,88,88,88,88,87,87,87,87,87,87,87,88,87,87,87,87,89,89,89,88,89,92,93,92,91,90,90,90,91,92,92,90,89,88,88,87,87,87,87,87,87,87,88,88,87,87,88,87,88,88,87,87,88,88,87,87,88,89,90,91,95,95,97,103,103,98,90,88,90,92,93,93,91,89,93,100,102,101,103,104,104,102,100,100,98,97,96,95,93,91,89,88,86,84,86,94,100,98,97,99,98,96,95,96,99,102,100,97,98,100,98,97,97,97,99,100,97,95,96,99,98,97,97,97,95,92,91,92,91,88,89,95,101,104,104,105,105,105,104,102,101,102,103,102,100,102,105,103,98,95,94,93,91,90,91,95,100,102,101,98,93,92,96,98,96,92,91,90,90,90,92,94,95,97,98,97,97,97,98,97,96,94,92,92,93,94,95,96,98,101,103,104,104,103,100,100,102,102,99,95,94,94,96,97,98,97,97,99,101,101,100,99,100,100,100,99,97,97,100,103,102,98,96,98,101,101,101,102,100,99,101,103,103,103,104,105,106,106,105,105,104,101,97,95,95,99,103,104,103,100,97,97,97,96,95,96,97,97,96,95,96,98,99,100,99,98,97,98,97,95,94,93,95,99,99,96,93,94,98,102,103,102,99,96,95,95,95,95,95,97,99,100,100,99,100,100,100,101,103,103,102,102,103,102,102,102,104,105,106,105,104,104,103,103,104,104,104,104,104,104,105,106,105,104,104,103,104,104,105,106,107,106,104,103,101,99,98,99,100,98,97,98,99,101,103,103,100,96,95,96,97,97,96,96,98,100,101,103,104,104,103,103,102,101,102,102,102,103,102,102,103,104,104,103,103,105,108,110,108,106,106,105,103,104,106,107,105,102,103,104,104,105,107,107,107,106,105,105,106,106,106,107,108,107,105,103,104,104,104,103,101,100,100,102,102,101,100,98,98,103,107,108,107,106,108,108,106,106,106,106,106,106,106,106,105,106,106,106,107,108,109,110,110,110,109,106,105,104,105,106,106,105,105,106,106,106,105,106,108,108,108,107,107,107,107,107,105,103,102,103,103,102,102,103,102,102,103,104,105,105,105,106,105,105,104,105,106,107,106,105,104,104,103,104,104,104,104,104,103,102,102,103,104,106,104,102,null],[87,88,88,88,88,87,87,87,87,87,88,88,88,88,88,87,87,88,88,88,88,88,88,88,88,89,91,92,91,90,90,90,91,93,94,92,90,90,89,89,88,88,88,88,88,88,88,87,87,88,88,87,87,88,88,87,87,88,88,87,87,88,89,91,93,96,96,98,102,103,99,92,89,89,92,95,93,90,89,94,101,103,101,100,103,104,102,101,101,99,97,97,97,95,91,89,87,86,85,86,94,100,98,98,100,98,95,94,95,98,102,102,98,99,100,98,96,96,97,98,98,96,95,97,99,98,97,97,98,96,92,91,91,91,90,91,100,105,104,102,101,104,105,103,101,100,100,101,101,100,102,105,104,99,96,95,93,91,89,90,92,95,99,100,97,92,91,94,97,96,92,91,90,89,90,91,93,95,98,99,98,97,99,100,100,99,97,93,91,92,93,92,94,97,100,101,103,104,102,100,100,101,102,100,97,94,94,95,96,96,97,97,99,101,100,98,96,98,100,102,101,98,97,100,103,102,98,96,98,100,99,102,105,102,99,101,103,103,103,103,105,104,102,101,102,102,100,98,96,97,100,103,106,105,100,97,98,98,97,95,95,96,97,96,95,95,97,100,101,100,97,96,97,97,95,93,93,94,97,100,97,92,92,96,102,104,101,98,95,95,96,96,96,97,99,98,98,98,98,100,102,103,103,102,101,100,101,102,101,99,100,102,105,105,104,103,103,103,103,104,104,104,103,103,104,106,105,104,103,104,104,103,103,104,105,106,106,105,105,102,99,98,99,100,100,98,98,98,99,102,103,101,98,97,97,97,97,97,96,98,100,102,104,105,103,101,103,103,103,104,104,103,101,100,102,104,104,102,101,102,105,107,107,105,103,103,103,101,103,105,105,103,102,104,104,103,104,106,106,105,104,103,104,104,105,105,107,108,107,106,104,105,105,105,104,102,100,100,102,102,101,98,96,97,101,105,107,106,106,107,106,105,104,105,106,106,106,107,107,107,107,107,106,107,108,109,109,110,110,109,107,106,105,106,106,107,106,105,106,107,108,107,106,107,108,107,107,107,107,107,107,105,103,102,102,103,103,104,104,103,102,103,104,105,105,105,106,105,104,104,106,107,107,106,105,104,104,104,104,105,105,105,104,103,101,102,104,107,107,104,101,null],[87,88,88,88,88,87,87,87,87,87,88,88,88,88,88,87,87,88,88,88,88,88,89,89,90,91,91,92,92,92,92,92,93,93,94,93,92,91,92,90,89,89,89,89,88,88,88,87,87,88,88,87,87,88,87,88,88,87,88,88,88,89,90,93,95,96,96,96,97,99,98,94,90,91,94,96,94,91,90,94,100,104,101,99,104,106,103,102,101,98,96,96,97,96,93,89,87,85,85,87,93,98,98,97,99,97,95,95,95,97,102,102,99,99,100,98,96,95,96,98,99,99,98,98,98,98,97,96,97,96,93,91,90,91,91,95,104,108,105,101,100,100,100,101,101,99,98,100,102,101,101,103,102,99,96,95,93,90,89,90,89,91,96,98,97,93,92,94,96,95,92,91,90,90,90,91,92,94,98,101,98,97,98,100,101,99,96,92,89,89,90,91,95,99,99,99,101,103,101,99,98,98,99,100,100,97,93,93,94,94,95,96,98,100,99,97,96,98,100,102,101,99,98,100,103,102,98,96,99,100,99,101,103,101,99,100,102,102,101,102,105,103,100,98,98,99,99,99,99,101,102,103,104,103,99,96,97,97,96,95,94,94,96,97,96,95,96,99,102,100,97,95,96,98,98,96,95,94,96,98,98,96,94,95,99,102,101,97,95,95,95,96,97,97,97,97,97,98,99,102,104,102,101,101,102,102,102,101,100,99,100,103,103,103,103,103,103,103,103,104,104,104,103,103,104,105,104,103,102,104,105,104,104,103,103,104,104,104,105,103,101,100,100,100,99,99,98,98,99,101,102,101,99,98,97,96,97,97,97,98,100,101,103,103,101,101,102,103,104,106,107,105,99,96,98,101,102,102,103,105,106,104,102,101,102,103,103,104,105,105,105,104,104,105,107,106,105,104,105,105,104,103,103,104,104,103,104,105,106,105,104,104,105,106,105,103,100,99,101,102,101,98,96,97,99,103,106,106,106,105,105,105,104,105,106,106,107,109,109,107,106,106,108,109,109,109,108,108,107,107,107,107,106,105,106,107,107,106,106,107,108,108,108,108,108,107,106,106,107,107,107,106,104,104,103,103,103,104,105,104,104,104,104,104,106,106,104,103,103,104,106,107,107,106,106,106,105,104,105,107,106,104,103,102,101,103,105,107,107,105,102,null],[88,87,87,87,87,88,88,88,88,88,88,87,87,88,88,87,87,88,88,89,89,89,90,91,91,91,91,92,94,95,94,94,92,92,93,93,92,92,92,91,90,90,90,90,89,88,88,87,87,88,88,87,87,87,87,88,88,87,87,88,89,90,92,95,97,97,96,94,92,95,100,97,92,91,95,97,94,90,90,92,97,103,102,99,104,108,105,103,101,99,97,96,96,96,94,91,87,86,85,87,93,98,97,97,99,97,95,96,95,96,101,102,99,98,100,99,97,96,96,99,101,102,100,96,95,96,97,97,97,96,94,92,91,91,93,97,102,104,102,101,99,98,99,101,102,100,98,101,104,101,100,101,100,97,96,95,93,90,89,90,90,90,93,95,95,92,92,94,96,95,92,91,90,90,90,91,91,93,98,102,99,98,98,99,99,97,95,92,90,89,89,91,95,98,99,98,100,101,101,100,97,96,96,98,100,99,95,93,93,94,94,95,97,99,99,98,99,100,101,102,100,99,100,102,103,101,98,98,100,101,99,100,102,100,99,100,100,100,100,102,105,104,101,98,98,99,100,101,102,102,101,102,103,102,100,97,96,97,97,95,93,94,95,97,96,95,96,99,100,97,96,95,96,99,100,98,96,94,95,97,100,99,95,94,97,102,101,97,95,95,96,97,98,97,97,98,99,100,101,103,103,102,101,101,101,102,102,101,100,100,101,103,103,102,103,103,103,103,103,104,104,104,103,102,102,103,103,103,102,103,105,106,105,103,102,101,101,101,102,102,102,100,99,97,98,99,99,99,99,101,102,101,99,97,96,96,98,98,96,98,100,101,102,103,103,102,102,103,105,108,108,104,98,95,99,102,102,103,105,107,106,103,101,102,104,103,103,104,104,103,103,103,104,106,107,107,105,104,105,105,105,105,105,105,105,104,103,103,104,104,104,103,104,106,107,104,100,100,101,102,102,99,97,97,99,102,106,107,106,105,105,106,106,107,107,107,107,108,108,107,105,106,109,109,108,108,107,106,106,107,107,106,105,104,105,108,108,106,106,107,108,108,109,109,109,107,106,106,107,108,107,106,105,104,104,103,104,105,105,104,104,105,104,104,105,105,103,103,103,103,105,107,107,106,105,105,105,104,104,106,105,104,105,105,104,105,107,108,107,105,103,null],[88,87,87,87,87,88,88,88,88,88,88,87,87,88,88,87,88,88,89,90,90,89,90,91,90,90,92,93,94,95,95,93,91,90,91,92,92,92,92,92,91,91,93,94,90,89,88,87,87,88,88,87,87,87,87,88,88,87,87,88,89,91,94,96,97,98,95,92,90,94,100,99,94,91,95,97,93,89,90,90,95,103,103,99,103,108,107,102,99,100,99,96,94,94,94,92,88,86,85,87,94,98,97,97,100,98,96,96,95,95,101,103,99,98,100,102,100,97,97,100,102,103,100,95,91,92,96,98,97,96,94,93,92,92,95,98,99,99,99,99,100,99,100,102,101,99,99,102,105,101,100,101,99,97,96,95,93,89,88,89,90,90,92,92,92,90,91,94,97,96,92,91,90,90,91,90,91,93,98,102,100,99,98,98,97,96,95,93,93,92,91,91,92,95,98,99,99,101,103,101,99,97,94,95,99,100,98,94,92,94,95,95,97,97,98,100,102,103,102,101,100,99,101,103,103,101,99,100,102,102,100,101,102,99,98,100,101,100,99,101,105,106,104,101,100,101,102,103,103,102,101,101,102,103,102,100,98,97,98,97,95,94,95,96,95,96,97,98,97,96,95,95,96,99,101,99,96,94,94,96,100,100,97,94,96,101,102,98,96,96,97,98,98,99,99,99,101,102,102,101,102,103,104,102,100,100,101,102,101,102,103,104,103,103,104,104,103,103,103,104,104,104,103,102,102,102,103,104,103,102,104,106,105,103,102,100,99,99,99,100,101,100,97,95,96,98,99,99,99,100,102,101,99,97,96,97,99,98,96,97,100,101,102,104,105,105,102,104,106,108,106,101,97,98,102,104,103,104,105,105,104,103,105,106,106,103,102,102,101,100,100,101,103,105,106,105,105,105,106,106,107,107,107,107,107,106,105,104,104,104,104,104,105,107,106,103,101,101,102,102,102,102,100,98,99,102,106,107,107,105,105,107,108,108,108,107,106,106,106,106,106,106,108,108,107,106,106,105,106,107,106,105,104,104,104,106,107,106,107,108,108,108,109,110,110,108,107,107,108,108,107,106,106,104,104,104,104,104,105,104,103,105,105,104,104,104,104,104,103,102,105,107,107,105,104,104,105,104,103,104,105,106,108,108,107,107,109,109,107,105,104,null],[88,87,86,86,87,88,89,89,89,89,88,87,87,88,88,87,87,88,89,90,90,89,89,90,90,90,93,93,92,92,93,93,92,91,91,91,91,92,92,90,90,92,94,95,92,89,88,87,87,88,88,87,87,87,87,88,88,87,87,88,89,91,94,94,96,98,95,91,90,94,99,98,95,93,93,93,90,87,88,90,96,104,103,98,101,107,107,103,99,100,100,95,93,92,93,93,90,86,85,88,95,100,97,97,101,99,96,96,95,96,101,102,99,97,99,102,100,96,96,99,101,103,102,96,91,90,94,97,97,97,96,92,91,93,97,100,102,101,98,97,98,100,102,101,99,98,101,104,104,101,101,103,99,95,97,97,94,90,88,89,88,88,89,91,91,90,91,94,98,97,93,92,91,91,91,90,91,93,99,103,101,99,98,97,96,96,96,95,94,93,92,92,91,93,96,98,100,102,104,103,100,98,96,95,98,100,99,96,94,94,95,96,96,97,98,100,102,104,103,101,100,101,101,102,100,99,99,101,104,103,101,102,102,98,96,99,102,101,99,100,103,105,104,102,100,100,100,101,103,104,103,101,101,103,103,102,101,99,99,99,98,96,95,95,96,97,98,98,96,95,96,96,97,99,101,100,97,94,93,94,98,100,100,96,95,100,102,100,100,99,98,97,98,99,100,101,102,102,102,101,102,103,102,100,98,99,101,102,102,103,104,104,104,104,104,104,103,102,102,103,105,104,103,103,103,103,104,105,104,103,104,106,105,103,101,99,99,98,97,98,100,100,98,96,96,97,98,98,98,99,99,99,98,97,97,98,100,99,97,99,101,101,102,104,106,105,103,105,107,108,105,101,100,101,104,104,104,105,105,103,102,104,107,108,106,103,101,101,101,100,100,101,102,105,105,103,102,104,107,108,107,108,108,108,108,108,107,105,105,105,106,107,107,107,104,101,101,101,101,102,103,102,100,99,100,102,104,106,106,105,105,106,107,107,107,107,107,106,106,107,107,107,106,106,107,106,106,105,106,106,106,106,106,105,104,104,105,106,108,110,110,109,109,110,110,110,109,108,107,107,107,107,106,105,105,105,104,104,105,104,103,104,105,105,104,103,104,104,103,103,104,105,105,104,104,104,104,104,103,104,106,109,109,108,107,108,109,110,108,106,105,null],[87,87,87,87,88,89,90,90,90,89,88,88,87,87,88,87,87,88,88,89,90,89,89,90,90,91,92,92,90,90,90,90,90,91,91,91,91,92,92,91,91,93,94,94,93,89,88,87,87,88,88,87,87,88,87,87,87,88,88,89,92,92,93,93,97,100,97,91,89,92,97,98,96,95,95,92,89,86,87,90,97,104,103,99,100,105,106,102,100,102,102,96,93,92,93,93,91,87,85,89,97,102,98,98,100,98,96,97,96,97,101,104,102,97,96,100,99,96,96,97,99,103,104,100,93,89,92,96,97,98,97,92,91,93,97,102,105,105,102,99,99,100,101,100,98,99,103,106,103,100,103,105,99,95,97,99,96,91,89,89,88,87,89,91,92,91,91,94,98,98,94,93,92,91,91,90,91,93,99,103,101,99,97,96,96,97,97,95,94,93,93,92,91,92,94,97,99,101,103,102,101,99,97,95,96,98,100,99,96,95,95,96,96,97,98,99,101,103,102,100,100,101,101,99,97,96,98,101,103,102,101,102,101,96,95,99,102,101,99,99,100,101,101,101,100,99,99,100,103,105,103,101,101,103,103,102,101,100,100,100,100,98,96,95,96,97,98,97,96,96,96,97,99,100,102,102,99,94,92,93,95,99,100,96,94,98,103,104,103,101,98,96,97,100,101,100,99,101,102,103,102,101,99,97,97,98,100,101,102,104,105,104,104,103,103,104,104,103,103,104,104,103,103,104,105,104,104,105,104,103,104,105,105,103,101,99,99,100,99,99,99,99,99,99,98,97,97,98,98,98,97,97,97,97,97,98,99,99,100,101,102,102,103,104,106,105,104,106,108,108,106,104,104,104,104,104,105,106,106,104,102,104,107,107,105,102,102,103,103,102,102,102,102,104,104,103,103,105,107,108,107,107,108,108,108,108,107,106,106,107,108,108,108,106,103,101,103,102,99,100,101,101,100,99,100,102,104,105,106,105,105,106,106,106,107,107,107,106,107,108,108,107,106,107,108,107,106,106,106,106,107,108,107,105,104,103,105,107,110,111,110,110,109,110,110,110,110,109,106,106,107,107,106,105,105,105,104,104,105,105,103,103,104,104,103,103,104,105,104,103,104,105,104,104,104,104,104,104,104,104,107,110,110,108,107,108,109,109,108,106,104,null],[88,88,89,89,89,90,91,91,91,90,90,89,88,87,87,87,87,88,88,88,88,90,90,89,89,90,90,89,89,91,90,87,87,90,92,92,93,92,92,93,93,93,92,92,93,88,88,87,87,88,88,87,87,88,88,87,87,88,89,90,94,93,92,95,100,103,100,92,88,91,96,98,97,96,97,96,90,86,87,91,96,102,103,100,99,102,106,102,99,104,105,99,94,93,96,96,93,87,86,90,99,104,100,97,98,97,97,97,96,95,100,105,105,98,93,96,98,96,95,96,98,102,106,104,96,89,89,93,96,97,97,94,91,93,98,103,105,106,104,103,101,101,100,101,101,102,104,104,102,100,103,104,98,94,98,101,97,92,89,89,90,89,90,92,93,92,91,93,99,101,96,93,92,91,91,90,90,92,97,102,101,99,98,97,97,98,96,95,94,92,92,92,91,91,94,97,98,98,100,100,100,100,98,96,95,98,101,101,98,95,94,96,97,98,98,99,101,101,101,99,98,99,99,98,96,96,97,99,99,99,100,101,100,97,96,99,100,99,98,98,98,98,98,98,97,98,100,102,103,103,102,101,102,103,101,100,99,100,100,100,101,100,97,95,96,96,96,96,97,97,96,96,98,100,102,103,101,95,92,93,94,97,100,96,93,96,103,106,104,100,98,97,98,100,99,97,98,100,103,103,100,99,97,95,96,98,98,100,102,105,107,106,104,102,102,103,104,105,104,103,102,101,102,103,105,105,104,103,102,102,103,104,104,103,101,99,100,101,101,100,99,98,99,100,100,98,96,97,98,98,97,97,97,96,97,98,99,100,102,103,103,104,104,104,106,106,104,105,107,107,107,107,106,105,104,104,104,105,105,104,104,104,105,106,105,103,103,105,104,103,104,105,103,103,104,105,106,107,107,107,107,107,107,107,107,107,106,106,107,107,108,108,108,105,103,103,105,103,98,97,99,100,99,98,101,104,106,106,106,106,106,106,106,106,107,107,107,107,107,108,108,107,108,109,109,108,107,107,106,106,107,107,105,105,105,104,106,109,111,111,110,110,110,110,110,110,111,109,107,106,107,107,107,106,106,105,104,105,106,106,105,103,103,103,103,103,104,105,105,104,104,105,105,104,103,103,103,104,104,104,107,109,110,108,108,109,109,107,107,106,103,null],[89,90,92,93,93,94,92,92,97,97,93,90,89,88,87,87,88,88,88,88,88,88,88,90,89,90,90,89,89,89,91,94,94,93,92,92,94,94,93,94,92,91,91,92,89,88,88,87,87,88,88,87,87,88,88,87,87,88,88,90,93,92,92,97,102,102,100,96,92,92,95,96,96,95,97,98,92,88,90,91,94,99,101,100,96,99,105,103,101,106,108,103,96,93,95,97,94,88,85,90,101,106,102,98,99,98,97,97,95,95,98,103,106,99,93,95,98,97,96,97,100,104,106,105,98,90,87,90,95,98,98,95,92,93,98,102,103,102,102,102,102,101,101,103,105,104,103,101,100,100,101,100,94,93,97,99,96,91,88,89,90,90,91,92,93,92,90,92,100,104,98,93,93,92,91,90,90,92,96,101,101,100,98,97,97,96,96,94,92,91,91,92,92,92,95,98,97,97,98,101,101,100,98,97,97,100,102,102,100,98,96,95,96,98,99,100,101,102,101,100,98,98,98,98,96,96,98,99,99,99,100,101,100,97,96,98,99,99,97,98,98,99,98,97,97,100,105,106,103,100,100,101,102,103,102,100,98,99,100,99,99,99,98,97,96,95,95,96,97,97,96,96,97,98,101,104,103,98,95,94,94,97,99,98,94,94,100,104,102,99,100,100,99,98,97,96,99,103,104,101,99,99,98,97,97,98,99,101,103,103,105,106,105,103,102,102,103,105,105,103,101,100,101,103,105,104,103,101,101,102,104,106,105,103,100,98,99,101,101,100,98,98,99,101,100,98,97,97,96,96,96,98,98,97,97,98,100,102,101,101,103,105,105,104,105,106,105,105,106,107,107,107,107,107,105,103,102,102,103,102,103,104,105,105,104,103,103,105,105,104,105,104,103,102,103,105,107,107,106,106,107,107,107,107,107,107,107,107,108,108,108,108,107,106,105,105,105,103,98,97,98,100,99,98,101,104,106,106,107,107,106,106,106,106,107,107,107,107,106,106,106,107,109,110,109,108,107,107,106,106,106,105,105,106,106,106,107,109,111,111,110,110,111,111,110,110,110,110,108,107,107,108,108,106,106,105,104,105,106,105,104,104,104,104,103,103,103,104,105,105,105,105,105,104,104,103,103,104,104,103,106,108,109,108,108,107,107,107,107,105,103,null],[92,93,95,95,94,92,90,91,96,95,92,93,90,88,88,88,87,87,87,87,87,87,87,90,89,89,90,91,90,87,93,102,103,96,92,91,94,94,93,92,90,89,91,92,87,87,87,88,88,87,87,88,88,87,87,87,88,88,89,89,90,91,94,100,102,98,98,99,97,96,95,96,96,93,96,98,94,92,92,90,91,95,99,99,95,96,103,105,104,105,106,105,98,93,93,96,94,88,85,90,101,106,101,99,101,99,96,94,94,94,95,100,103,99,95,95,97,97,98,99,100,103,105,105,101,93,88,89,94,98,98,94,92,93,98,102,100,98,98,100,101,102,103,105,105,103,100,98,98,99,100,96,91,91,97,99,94,90,88,89,90,90,90,92,93,92,90,92,100,105,99,93,93,92,91,90,89,91,95,100,100,101,99,97,94,94,95,95,92,90,91,91,92,93,96,98,98,97,97,101,102,101,100,100,99,100,102,102,102,101,99,96,94,97,100,102,102,103,103,102,99,98,98,98,97,96,98,100,100,100,102,103,101,97,96,98,99,99,98,98,100,101,99,97,98,102,106,106,103,100,99,100,103,104,103,101,98,99,100,99,98,98,98,98,97,96,95,96,97,97,97,96,95,96,99,103,104,101,97,95,95,96,99,100,97,93,95,101,101,100,101,101,100,98,97,99,103,105,102,99,98,99,100,98,97,97,101,104,104,102,102,104,105,104,103,103,103,105,104,102,100,101,102,104,104,104,103,102,102,103,105,106,105,102,99,98,99,101,100,99,98,99,100,100,99,97,97,96,95,95,97,98,99,100,98,99,101,102,101,101,103,107,107,104,105,107,107,106,107,107,106,105,106,107,106,103,101,101,101,101,103,105,105,105,104,103,104,105,105,104,104,104,103,103,103,104,106,106,105,105,107,107,107,108,108,108,109,109,108,108,108,108,108,107,107,106,105,103,101,100,99,100,100,99,101,103,104,106,107,107,106,105,105,106,107,107,107,106,106,105,105,106,108,109,109,109,108,107,107,106,105,105,105,106,107,107,108,110,111,111,110,110,111,111,111,110,110,110,110,109,108,109,109,107,106,106,106,105,105,104,104,104,105,105,104,103,103,103,104,105,105,105,105,105,104,103,103,104,104,103,104,106,106,106,105,104,106,108,108,106,104,null],[95,97,98,99,97,93,91,93,95,96,96,95,92,89,88,88,87,87,87,88,87,87,87,88,89,89,90,91,88,88,88,90,90,90,92,90,93,93,91,89,88,89,88,87,87,87,87,88,88,87,87,88,88,87,87,88,88,89,91,91,89,93,98,104,102,94,93,98,100,98,97,99,98,95,95,97,96,94,92,90,89,92,97,100,95,94,99,104,104,102,103,104,99,94,94,96,96,90,86,91,101,105,100,98,100,98,96,95,94,93,94,98,102,102,98,96,96,97,99,100,99,100,102,105,104,97,89,87,92,97,97,94,92,92,97,101,100,99,98,100,101,101,102,103,103,102,99,97,98,101,101,97,91,92,99,100,94,90,89,90,90,89,89,91,93,92,90,91,98,103,98,94,94,92,90,89,89,91,94,97,101,101,100,97,93,93,94,95,94,91,91,90,91,92,94,97,98,97,96,98,102,102,102,101,99,98,99,101,103,103,100,97,94,94,98,100,101,103,103,101,100,100,101,99,96,94,96,97,97,98,103,105,101,96,96,99,101,99,97,97,100,101,101,99,100,102,103,103,102,101,100,101,103,105,105,102,98,98,100,99,99,100,99,98,98,96,94,94,96,98,98,96,95,96,98,102,104,103,99,95,94,96,100,102,98,92,92,97,101,102,101,100,99,99,101,103,104,102,99,97,98,98,98,96,95,98,103,106,104,102,102,103,104,104,104,104,103,103,102,101,100,101,103,104,104,104,104,104,104,105,105,105,104,101,99,99,101,100,99,98,98,98,99,98,97,96,95,95,96,97,99,99,99,100,100,101,103,103,103,103,105,107,107,105,106,107,109,109,109,108,106,104,105,106,106,104,102,102,102,102,104,106,106,105,105,106,107,107,106,105,104,105,105,105,104,105,105,106,106,106,107,108,108,108,108,108,110,110,108,107,107,108,108,107,107,107,106,105,104,102,100,100,100,101,101,101,103,106,107,107,105,105,105,106,105,105,105,106,106,106,105,105,108,110,110,109,109,108,108,108,106,105,106,106,106,108,110,111,111,110,110,111,112,111,110,112,111,110,110,110,111,111,110,108,106,106,106,106,105,105,105,104,104,104,104,104,104,104,104,105,105,103,104,105,104,103,103,105,105,103,104,104,103,101,102,103,105,107,108,107,107,null],[98,100,101,103,101,95,95,98,100,100,100,97,93,91,89,88,88,88,87,87,88,88,88,87,88,89,89,91,87,87,87,88,88,88,92,90,93,93,90,88,88,89,88,87,88,88,88,87,87,88,88,87,87,88,88,88,88,89,92,92,91,96,104,107,102,94,92,96,101,101,99,100,100,97,95,95,97,96,94,93,93,94,99,101,98,94,96,102,104,102,101,102,99,94,94,96,96,91,87,91,99,103,99,97,99,97,95,95,94,93,94,97,100,102,98,94,94,99,101,100,98,98,101,105,105,99,91,87,91,95,95,94,92,92,97,102,100,97,97,99,101,102,101,101,101,102,100,98,98,102,102,97,91,93,100,100,93,90,89,90,90,89,88,90,92,91,90,91,98,101,97,95,95,92,90,89,89,91,93,96,100,101,100,98,95,94,94,95,94,93,92,91,90,91,92,96,99,98,95,96,100,102,102,102,100,98,98,100,103,103,102,99,95,93,95,98,100,100,100,99,100,102,103,101,97,94,94,96,97,99,103,104,100,95,94,99,101,99,97,97,100,102,102,101,101,101,100,101,103,102,102,103,103,104,105,103,100,98,98,100,102,102,100,98,97,96,95,93,95,98,98,96,96,98,100,102,102,102,99,95,94,95,98,102,100,93,92,96,101,101,99,98,100,101,103,102,101,99,98,98,98,97,95,95,97,101,105,105,104,102,103,103,103,102,103,103,102,102,101,100,101,103,105,104,104,103,104,105,105,105,104,103,102,101,100,101,101,100,99,99,99,98,97,97,96,95,95,95,97,98,100,99,98,99,101,102,102,104,105,105,105,106,107,108,108,108,109,109,108,106,105,104,106,107,107,106,105,105,105,104,105,107,107,106,105,106,107,107,106,105,105,106,106,106,105,105,105,106,107,107,107,107,108,108,108,109,109,109,107,106,106,107,107,107,107,108,107,107,105,103,100,101,103,103,102,101,103,105,107,106,106,106,107,107,105,105,105,105,106,107,106,106,108,109,109,109,109,110,109,108,107,107,107,106,106,108,109,110,110,110,110,111,111,110,110,112,111,109,109,110,110,111,110,109,107,107,107,107,105,105,105,104,104,104,105,105,104,104,104,104,104,103,103,103,103,103,103,104,104,103,103,103,101,99,99,101,105,108,109,108,108,null],[101,102,103,105,103,98,99,103,105,105,103,101,97,92,91,90,89,88,87,87,87,88,88,87,87,87,87,87,87,87,87,88,88,88,88,88,89,88,88,88,88,88,87,87,88,88,88,87,87,88,88,87,87,88,88,88,88,91,92,92,94,100,107,106,100,94,92,95,100,102,101,100,100,100,96,93,94,96,97,97,97,98,101,103,100,95,94,100,104,102,100,101,98,94,93,95,95,91,88,91,98,102,98,97,99,96,94,95,94,92,94,97,99,100,98,93,94,99,101,99,97,98,100,102,103,101,95,89,90,93,93,93,92,92,98,102,98,95,96,99,101,103,101,100,102,103,101,99,100,102,101,96,91,94,100,99,92,89,89,90,90,89,89,90,91,90,89,91,98,101,98,96,96,94,90,89,89,91,93,96,100,100,100,100,99,98,96,95,94,95,95,93,90,89,90,96,101,99,95,96,99,101,102,102,101,100,98,99,101,103,105,103,98,93,94,97,99,98,98,99,100,102,104,102,98,96,95,96,100,102,102,102,99,94,94,98,100,99,97,97,99,102,103,103,102,101,101,101,103,103,104,105,103,102,104,104,102,98,97,101,103,103,101,99,97,96,95,94,94,96,98,98,98,100,101,101,101,100,99,97,96,95,95,99,100,95,93,96,100,100,99,99,102,103,101,98,96,97,99,99,98,96,95,97,102,106,106,104,102,102,102,102,102,102,101,102,102,101,101,101,102,104,105,104,103,103,103,103,104,104,103,102,101,102,102,101,100,99,99,99,99,98,97,96,95,95,96,97,98,99,101,100,98,99,101,102,103,104,106,106,105,106,108,109,110,108,107,107,107,105,104,105,107,109,108,108,108,107,107,106,106,107,108,107,104,104,105,106,106,106,106,106,105,106,106,105,105,106,107,107,107,107,107,108,108,109,109,108,107,106,106,107,107,106,107,108,108,107,105,101,100,102,104,104,102,101,104,105,106,106,107,108,108,108,106,106,106,105,105,107,107,107,108,108,108,108,110,111,110,108,109,109,108,107,107,107,107,108,110,111,110,110,110,110,110,110,109,108,108,108,108,109,109,108,108,108,107,107,106,106,106,104,104,105,106,106,104,103,103,102,102,103,102,101,103,103,102,102,102,103,103,102,102,100,98,100,104,107,109,108,107,null],[105,105,104,102,101,101,101,102,102,102,100,96,94,95,96,95,91,90,88,88,87,87,88,88,88,88,88,88,88,88,88,88,87,87,87,87,87,87,87,87,87,87,88,88,87,87,87,87,87,88,88,87,87,88,88,89,90,92,92,92,96,102,106,102,97,95,93,94,97,101,102,100,99,100,97,92,89,91,94,95,95,97,101,103,100,96,95,100,104,101,99,100,99,95,92,95,96,93,89,91,97,101,97,96,97,96,94,94,94,92,92,94,99,101,99,94,94,98,98,97,98,99,99,98,100,102,98,92,89,90,92,91,90,91,96,99,97,96,98,100,102,104,102,100,101,102,101,100,101,103,100,95,91,94,99,98,92,89,89,89,89,90,90,90,91,89,87,90,97,103,101,98,97,94,90,89,89,91,92,95,99,101,102,102,103,101,98,95,94,96,97,95,91,89,91,96,100,100,97,97,99,100,101,100,100,100,99,99,100,103,105,104,101,97,96,97,99,99,99,99,99,101,104,103,100,98,96,96,98,102,103,102,98,94,95,99,101,100,98,97,97,100,102,104,104,104,105,105,104,104,104,103,102,103,104,103,100,98,99,103,103,102,102,101,98,96,96,96,96,97,98,99,99,100,101,101,101,100,98,97,97,96,95,98,99,96,94,95,100,102,101,102,104,104,100,96,98,100,100,98,97,95,97,101,105,108,106,104,102,102,102,101,102,102,101,102,103,102,102,102,103,103,103,103,103,103,102,101,102,103,103,102,102,103,104,102,101,100,99,97,97,97,96,95,95,96,98,99,100,101,102,102,100,100,102,103,104,105,107,106,106,106,108,111,109,107,106,107,108,107,106,106,108,109,109,108,107,107,107,107,106,107,107,106,104,104,105,104,106,108,107,106,105,105,106,105,104,104,105,106,108,107,106,106,106,107,107,106,107,108,108,108,108,106,105,106,108,109,107,102,100,102,103,102,101,102,104,106,107,107,107,108,108,107,107,106,105,104,105,107,108,108,109,109,108,108,108,110,109,109,108,109,108,108,108,107,107,108,109,110,110,109,109,109,109,109,108,107,107,107,107,108,108,108,107,107,107,106,107,107,106,104,104,104,105,105,104,104,103,102,101,101,101,101,102,103,102,101,101,102,102,102,102,101,99,100,103,105,105,105,104,null],[107,104,102,100,100,101,100,97,96,96,95,92,91,97,100,97,94,93,90,88,87,87,88,88,88,88,88,88,88,87,88,88,87,87,87,87,87,87,87,87,87,87,88,88,87,87,87,87,87,87,87,88,88,88,88,89,90,92,91,94,99,103,103,98,94,93,94,95,96,99,102,101,99,98,97,94,90,89,91,92,94,96,100,102,99,96,96,100,102,99,98,101,99,95,92,95,96,92,89,90,96,100,98,96,97,96,95,94,94,92,89,92,99,104,101,96,95,98,97,97,98,100,98,96,98,102,99,92,88,89,92,91,89,89,93,97,98,100,103,102,103,104,102,100,100,100,100,101,103,103,99,94,91,95,100,97,91,88,89,89,90,90,90,90,90,88,86,89,98,105,103,99,97,93,91,90,90,91,92,94,98,101,103,103,103,101,99,97,95,96,97,95,92,90,90,94,98,100,98,97,98,101,101,100,100,99,99,99,100,103,104,104,104,102,101,99,99,100,101,100,98,99,103,103,101,98,95,94,96,100,103,102,98,95,97,102,103,101,98,96,96,99,102,104,106,108,108,106,103,102,101,100,102,105,105,103,101,101,102,103,103,101,102,102,101,98,97,97,98,97,98,99,99,99,100,101,100,99,97,97,98,98,97,98,98,97,93,94,100,105,104,104,104,102,98,97,100,102,99,97,97,98,101,105,107,106,105,104,102,103,102,101,102,103,103,103,103,103,103,103,103,103,102,102,102,103,102,101,101,102,103,102,102,103,104,102,101,100,98,97,96,96,96,95,96,100,102,103,101,101,103,104,104,103,104,105,106,107,107,107,108,108,110,110,108,105,106,108,109,109,108,107,107,108,108,107,105,105,107,107,107,106,106,105,104,105,105,104,106,108,108,106,105,106,106,105,105,104,104,106,108,108,106,105,105,106,106,107,108,109,109,109,108,106,104,104,106,109,109,104,99,100,101,101,102,103,103,105,107,107,107,107,107,107,107,106,105,105,106,107,108,108,109,109,109,109,108,109,109,109,108,108,107,108,108,107,107,108,108,108,108,109,109,109,109,109,108,107,107,107,107,108,108,107,106,106,105,106,107,108,107,105,104,104,105,105,104,103,103,101,100,100,100,101,102,101,101,101,101,102,102,102,102,102,101,101,101,103,103,102,102,null],[103,100,99,100,101,98,96,94,91,92,94,94,94,99,100,98,94,92,92,91,88,87,87,87,87,87,87,87,87,88,87,87,87,88,88,88,88,88,88,88,88,88,88,87,87,88,88,88,88,88,88,88,88,87,87,89,90,90,92,96,102,103,99,96,93,92,95,98,98,97,99,102,101,97,98,100,98,94,91,94,97,99,100,102,100,96,95,98,101,99,99,101,98,95,93,94,94,91,88,88,94,98,99,98,98,97,95,94,94,93,89,91,98,103,102,96,95,98,99,98,98,100,100,98,98,100,98,93,89,90,92,92,89,89,93,98,101,103,105,104,103,104,102,100,99,99,99,101,103,103,98,92,92,98,102,97,89,87,89,90,90,89,89,89,89,87,86,90,100,106,103,97,94,92,91,90,90,91,92,94,98,101,103,102,101,100,99,98,96,95,96,95,93,90,91,93,96,98,99,97,97,101,105,104,101,99,99,99,100,102,103,104,105,106,104,100,97,99,100,99,97,98,101,102,100,97,94,92,94,99,103,100,95,95,99,103,103,101,97,95,95,98,103,106,107,107,106,104,100,97,98,100,104,106,105,104,105,106,104,102,101,102,102,103,103,102,100,99,97,97,98,100,100,99,99,99,99,98,97,98,99,100,99,98,97,95,93,92,100,106,106,105,102,99,97,99,102,101,98,97,99,103,106,106,105,105,104,103,104,104,103,102,102,103,104,103,103,104,104,103,104,103,102,101,100,101,102,103,103,103,102,101,101,103,103,102,101,99,99,98,97,97,97,96,98,103,106,104,100,99,103,106,107,106,106,106,106,107,108,108,108,109,110,109,108,107,107,109,110,109,108,108,106,106,107,107,106,106,107,108,107,106,105,104,104,105,106,106,107,107,107,106,106,106,106,106,106,107,107,107,107,107,107,106,106,106,107,108,108,108,108,108,107,106,105,104,105,109,111,106,100,99,99,100,102,102,101,102,104,105,106,107,107,107,107,107,108,107,107,107,108,108,108,108,109,109,109,109,109,109,108,107,106,106,107,107,107,106,106,106,106,107,108,110,110,109,107,106,107,107,107,107,106,107,107,106,105,105,106,107,107,105,105,105,104,104,104,103,102,101,101,100,100,100,100,99,100,101,102,101,101,101,101,101,102,102,102,104,104,103,102,null],[98,99,101,101,99,95,94,93,92,93,97,98,99,101,103,102,100,97,94,92,90,88,87,87,87,86,87,87,87,88,87,87,87,87,87,87,88,88,88,88,88,88,88,87,87,88,88,88,88,88,88,87,87,87,87,90,90,90,95,102,106,103,96,93,92,90,93,97,99,99,97,100,101,98,99,103,105,101,97,96,99,101,103,104,103,99,95,97,101,100,99,100,97,94,92,93,94,91,88,88,93,98,100,99,98,97,95,94,94,93,89,89,94,99,100,96,95,98,99,99,98,100,100,98,98,99,99,95,90,90,93,93,90,89,93,100,102,104,106,104,103,103,101,100,99,98,98,101,104,103,96,90,93,100,104,97,87,85,88,90,90,89,88,88,88,87,87,91,101,106,101,95,93,93,92,91,91,92,92,94,97,101,103,101,100,99,99,98,95,95,95,94,92,91,92,93,94,98,100,99,98,101,104,105,102,100,100,99,99,100,102,103,104,104,103,101,98,98,98,98,97,97,100,102,100,97,93,92,93,98,102,99,94,95,99,101,102,100,98,96,95,98,103,107,106,104,101,98,96,96,99,102,104,105,105,105,106,105,102,100,100,102,102,102,102,103,103,100,98,97,98,99,99,98,97,98,99,98,98,99,100,100,99,97,97,98,95,94,99,105,106,102,98,96,99,101,101,100,99,101,104,106,106,105,104,103,103,104,105,105,104,103,104,104,104,103,103,104,103,103,104,104,103,100,98,100,102,103,104,103,102,100,100,102,103,102,100,98,99,99,97,97,97,98,100,103,105,103,100,100,102,105,105,105,106,105,104,105,107,107,108,109,109,108,109,110,109,109,110,110,110,109,107,106,107,107,107,107,108,107,107,106,106,105,105,105,106,106,106,105,105,105,106,106,106,106,107,108,108,107,106,106,106,106,106,106,107,108,108,107,106,106,106,107,107,106,105,108,111,108,103,99,98,99,100,100,100,100,101,103,106,107,107,107,107,107,108,107,107,106,107,108,108,108,108,108,107,105,105,106,105,105,104,104,104,105,105,105,105,104,104,106,107,109,109,108,107,106,106,106,106,105,105,107,107,106,106,105,104,105,106,105,105,105,104,104,104,104,103,102,101,100,100,100,100,100,99,100,101,101,101,101,101,101,103,103,103,103,104,104,103,null],[99,102,104,100,95,94,95,97,96,98,100,101,102,103,105,106,106,103,97,95,95,91,89,88,87,87,87,87,87,88,88,88,88,88,88,88,87,87,87,87,87,87,87,88,88,87,87,87,87,87,87,87,88,88,90,92,91,92,99,107,108,102,94,91,90,89,90,92,97,100,99,97,97,98,100,104,107,106,102,101,102,104,106,106,105,101,96,98,101,100,99,99,98,96,92,92,94,92,89,88,93,98,99,99,99,97,95,93,94,93,90,88,90,95,98,96,95,96,97,98,98,99,100,98,97,99,101,99,93,90,91,93,92,90,94,101,102,104,105,103,101,102,101,99,98,97,98,102,106,104,96,91,95,102,103,96,87,85,88,91,92,90,88,86,86,85,88,94,101,105,99,94,93,93,93,92,93,93,93,93,94,98,102,102,100,99,99,97,95,95,96,95,93,91,93,94,94,98,102,100,98,99,103,104,103,102,101,99,98,98,102,104,103,100,100,100,99,98,97,97,97,98,101,103,102,99,95,92,93,98,102,99,95,96,98,98,99,99,98,96,96,98,103,105,104,100,97,96,96,99,101,102,103,105,105,104,103,102,101,99,100,102,102,100,98,99,101,101,99,98,98,98,98,97,97,99,101,100,100,100,99,99,98,95,97,100,98,95,98,103,103,98,96,97,101,102,101,99,101,105,107,106,104,105,104,103,103,104,106,106,105,103,104,105,104,103,103,103,103,103,104,105,103,100,99,100,102,103,103,103,102,100,100,101,102,101,99,98,98,97,96,97,98,100,102,102,102,102,102,103,105,104,103,104,105,105,103,104,106,107,107,107,107,108,110,111,109,109,110,110,111,111,109,108,108,108,108,108,108,107,106,106,107,107,106,105,105,106,105,104,104,105,106,106,106,106,107,108,109,108,106,106,106,106,106,106,107,107,107,106,105,105,107,108,108,107,106,107,110,110,105,99,97,98,98,98,99,99,99,101,104,106,106,106,107,107,106,106,106,106,106,107,107,106,105,104,103,102,102,103,103,103,103,103,103,102,102,104,103,102,102,104,106,107,107,107,106,106,105,105,104,103,105,108,108,106,106,105,103,103,104,105,105,105,104,104,104,104,104,103,102,101,101,101,101,101,100,100,100,101,101,101,101,102,103,103,103,103,105,105,104,null],[105,105,100,96,93,96,100,101,100,101,102,102,101,102,104,107,108,106,101,98,96,94,93,91,89,88,88,88,87,88,88,88,88,88,88,88,88,87,87,88,87,87,87,88,88,87,87,87,87,87,87,88,88,90,93,94,92,94,100,105,104,97,91,88,89,89,88,89,93,99,101,97,94,97,100,104,106,105,102,103,106,107,108,107,104,100,97,98,100,99,97,98,100,98,92,91,93,92,89,88,91,96,97,97,97,97,95,94,93,93,91,89,89,92,95,95,95,96,97,98,97,98,99,99,98,99,101,102,98,92,89,92,93,91,94,101,102,103,103,100,99,102,102,99,97,98,101,104,106,105,97,93,97,104,104,96,88,86,89,92,93,91,88,84,83,84,88,96,102,102,97,93,94,94,93,92,93,95,94,93,93,97,101,102,100,99,100,98,95,95,97,96,93,91,92,93,93,96,100,99,98,101,104,106,105,102,99,98,98,98,103,106,104,99,97,98,99,98,97,97,98,100,101,103,102,99,96,93,93,97,101,98,95,96,98,98,97,97,96,95,96,100,103,102,100,98,97,99,101,103,101,100,102,104,104,103,102,101,101,101,100,99,100,99,96,95,97,100,101,101,99,97,97,97,99,102,103,100,99,99,99,99,98,95,96,100,99,97,97,100,100,98,98,102,104,102,100,101,102,104,106,106,105,103,103,103,103,104,104,105,104,103,103,104,104,104,103,103,102,102,104,105,103,102,102,102,103,103,102,101,101,102,102,101,100,99,98,98,97,96,95,97,99,101,102,102,104,106,106,108,109,107,106,106,107,105,104,105,107,108,108,107,107,109,110,110,109,109,109,108,109,111,110,109,108,108,108,108,108,109,107,106,105,107,108,106,105,106,105,103,103,105,106,106,105,106,107,108,110,109,108,107,107,107,106,107,107,107,107,106,105,106,107,107,106,105,104,106,110,111,106,97,94,96,95,96,98,98,98,99,100,102,105,106,107,106,105,104,105,106,106,105,104,103,102,101,101,102,102,103,103,103,103,104,104,102,103,104,103,101,101,103,104,104,105,105,106,106,106,105,103,102,104,107,107,106,106,105,103,102,103,105,105,104,104,104,105,105,104,103,102,102,102,102,101,101,102,101,101,102,102,101,101,102,103,103,102,102,105,107,106,null],[104,101,96,94,96,99,102,104,105,105,105,102,100,100,103,106,108,108,104,99,95,93,93,95,93,91,90,89,88,87,87,87,87,87,87,87,87,88,88,87,87,88,88,87,87,88,88,88,88,88,88,88,88,92,95,94,93,96,100,101,97,91,88,87,88,89,88,87,89,95,100,98,95,95,98,102,103,101,99,102,106,107,108,107,103,99,97,98,100,99,97,98,100,99,93,91,93,92,89,88,91,95,96,94,95,96,97,95,94,93,92,90,89,91,93,94,96,98,99,98,97,99,101,101,99,98,100,103,102,94,89,91,92,91,94,101,103,103,101,98,99,103,103,99,98,100,103,105,106,105,98,94,98,104,103,95,88,87,89,91,94,92,88,85,83,83,88,97,101,101,97,94,95,94,93,93,94,95,94,92,92,96,100,101,100,99,99,99,97,97,98,96,92,90,91,92,92,94,98,97,97,100,105,108,106,102,99,98,98,99,102,104,102,99,96,96,98,99,98,97,98,100,101,102,102,100,97,95,93,95,98,96,95,97,99,97,96,95,94,94,96,99,101,100,98,98,100,104,106,103,100,99,101,104,103,102,102,102,102,101,99,98,99,99,97,95,96,98,101,103,101,98,97,98,101,104,103,100,97,98,100,100,98,94,94,98,99,98,97,97,98,99,102,104,103,101,101,102,103,103,103,104,104,103,102,102,103,103,103,103,103,102,103,103,103,103,103,103,103,102,102,102,102,103,103,103,103,103,102,101,102,103,103,100,98,97,98,98,97,96,97,98,100,102,103,103,105,107,107,109,111,110,109,109,109,108,106,106,108,109,109,107,106,107,109,109,108,108,108,107,107,109,108,108,108,108,108,108,108,108,108,106,105,105,105,105,104,104,103,103,103,105,106,106,105,106,107,108,109,109,108,108,109,108,107,107,107,107,107,107,106,107,107,106,105,105,104,106,109,111,106,96,92,95,97,98,98,98,98,98,98,100,102,104,105,105,105,104,105,106,106,105,103,103,102,102,103,104,104,104,104,105,105,105,105,104,104,105,104,103,103,104,105,104,104,104,105,106,106,105,102,101,102,104,105,106,106,105,104,103,104,105,105,104,104,105,105,105,103,102,102,102,102,102,101,101,102,102,102,102,102,101,102,102,103,102,102,103,104,105,106,null],[95,95,97,99,100,99,98,101,105,108,107,103,99,99,101,104,108,108,103,98,96,97,97,98,98,96,93,91,89,88,87,87,87,87,86,87,87,88,88,87,87,88,88,87,87,88,88,88,88,90,88,87,89,93,97,94,95,100,100,97,92,88,86,87,88,88,87,86,87,90,94,98,97,94,94,98,100,98,97,100,104,105,106,106,101,96,96,98,100,100,98,98,101,100,94,92,93,92,89,88,92,97,95,92,92,95,98,96,94,92,92,90,88,89,91,95,98,100,100,99,98,100,103,103,100,98,98,100,101,96,90,90,91,91,95,101,103,103,101,100,102,105,103,100,100,102,105,106,106,104,97,93,99,103,100,94,89,86,88,91,93,92,89,86,84,83,88,97,101,99,96,94,94,94,94,93,93,94,94,92,92,95,100,101,99,98,100,101,100,98,98,96,92,88,89,90,91,94,97,97,97,100,104,107,106,103,100,99,98,98,99,100,100,98,96,95,96,99,99,98,98,98,99,102,103,101,98,96,94,93,93,94,96,99,99,96,95,95,94,94,96,98,99,99,99,100,103,105,105,101,98,100,103,103,102,101,101,103,102,100,99,99,100,100,99,98,97,96,98,103,103,100,99,99,102,104,102,98,97,98,100,100,98,94,93,97,99,99,97,98,99,101,102,102,100,100,102,104,103,102,102,102,103,104,103,102,102,103,103,102,102,103,104,103,102,101,102,103,103,102,100,100,99,100,101,103,104,103,101,101,102,102,101,98,96,97,98,98,97,97,99,100,100,103,105,105,104,104,103,105,108,109,109,109,110,111,109,107,108,110,110,108,106,105,107,107,106,107,107,107,107,107,106,106,108,108,107,107,107,106,107,107,105,103,102,102,102,101,101,101,102,103,104,105,106,106,106,107,107,107,107,108,108,108,108,107,106,106,107,107,107,106,106,105,105,105,105,105,106,108,105,97,93,95,100,101,98,99,100,99,99,100,101,101,102,103,104,104,105,106,106,106,104,104,104,105,106,106,105,104,105,106,106,106,106,106,106,106,107,107,107,107,107,106,104,104,105,106,106,103,101,101,101,101,103,104,106,106,105,105,105,105,105,105,105,105,105,104,103,101,101,103,103,102,101,100,100,101,102,102,101,101,102,102,102,102,102,104,103,104,105,null],[93,95,100,103,100,95,93,95,99,102,102,100,99,100,100,102,108,109,103,98,98,102,105,106,99,103,107,129,92,90,89,89,89,88,87,87,87,88,88,87,87,87,87,87,88,88,89,89,89,91,88,87,90,93,96,95,99,104,101,94,89,86,86,87,88,88,87,87,87,88,90,94,95,94,93,96,98,99,99,101,103,101,102,101,96,92,93,98,101,99,97,98,101,101,95,92,93,92,90,89,93,97,94,90,90,94,97,96,93,91,90,90,88,88,91,97,100,100,98,96,97,99,102,101,98,96,97,99,100,98,93,90,90,94,97,100,101,101,102,102,103,105,103,101,103,105,105,106,105,102,96,94,99,103,98,93,89,88,90,91,92,91,88,87,85,82,87,97,101,99,95,93,93,93,93,93,93,92,92,92,91,94,98,101,100,100,100,101,101,100,98,96,92,88,88,90,90,93,96,96,97,99,103,104,104,103,101,99,98,97,97,98,99,99,97,95,94,96,99,100,100,98,98,101,103,101,98,96,94,92,91,92,97,100,99,95,95,95,96,96,97,100,102,101,101,102,105,105,102,99,98,101,104,104,100,97,98,101,102,100,99,99,99,100,100,101,98,94,94,99,102,102,101,101,102,103,100,97,96,97,99,100,97,93,93,96,99,99,98,99,102,102,100,98,99,102,104,105,104,103,103,103,104,105,104,102,103,104,103,102,102,103,104,103,102,102,103,103,103,102,100,99,97,97,99,102,104,103,102,102,101,100,99,97,96,96,97,97,96,96,98,100,101,104,106,108,107,105,103,105,108,110,108,107,108,110,110,109,108,109,109,108,106,105,105,106,105,105,106,107,107,106,105,106,108,108,107,106,105,106,106,107,105,102,100,100,101,100,100,99,99,100,103,104,105,105,105,105,105,105,106,106,106,106,107,107,106,106,106,107,107,106,106,106,105,105,105,104,104,106,104,96,92,94,100,102,99,99,101,101,100,101,102,101,100,100,102,102,102,104,106,106,104,103,103,105,105,104,103,104,106,108,107,106,107,107,107,107,108,110,109,108,106,105,105,105,106,106,106,105,103,101,101,102,103,104,105,106,106,105,104,104,104,105,106,105,104,104,103,102,102,104,103,102,102,101,100,101,102,102,101,101,102,103,103,103,103,104,104,104,106,null],[99,102,106,107,102,96,93,93,95,97,98,98,99,100,99,100,105,106,103,100,101,106,110,110,106,107,106,121,95,94,93,93,92,91,89,88,88,87,87,88,88,87,87,88,88,89,89,89,89,90,87,87,91,93,95,98,104,106,102,93,88,86,87,88,88,88,88,87,87,87,88,89,90,91,91,93,96,98,100,101,99,96,96,95,91,88,92,99,102,100,97,97,102,102,95,92,93,93,90,89,92,96,93,90,90,93,96,96,93,90,89,90,89,87,90,96,100,99,96,94,95,97,99,99,96,95,97,98,99,97,94,89,90,95,97,98,99,100,102,103,104,104,101,100,104,106,105,105,104,99,95,96,101,101,96,91,89,88,90,92,92,90,87,85,83,83,90,99,102,99,94,91,91,92,93,92,92,91,91,92,91,94,98,101,102,101,100,101,101,101,99,97,92,89,89,91,91,92,95,97,98,99,100,101,100,100,100,99,97,97,96,97,100,101,98,95,94,95,98,100,101,99,98,100,103,101,98,96,94,92,91,93,97,100,98,95,95,96,97,97,98,102,105,105,103,104,106,104,100,98,100,103,105,103,98,94,95,99,102,101,99,98,98,98,100,101,99,95,93,95,100,103,102,101,102,102,100,97,95,96,98,99,98,95,93,95,99,100,98,98,101,100,97,97,100,103,106,105,104,104,104,107,108,106,105,103,104,104,104,103,102,103,103,103,103,103,103,103,103,102,102,100,98,97,99,102,103,103,103,103,101,100,98,96,97,97,97,96,95,95,97,99,102,105,107,108,110,110,106,107,109,110,108,108,107,108,109,110,109,108,108,108,107,105,105,105,105,105,105,106,106,106,107,108,108,108,107,105,105,106,106,106,104,102,100,100,100,100,100,99,98,99,102,102,102,103,104,104,104,104,104,104,103,104,105,106,106,106,106,106,107,106,106,106,106,105,104,103,103,103,101,95,92,93,98,101,100,100,101,101,101,101,103,103,100,100,101,101,101,102,104,104,103,103,103,103,102,102,102,103,107,108,107,107,107,108,108,107,108,109,108,106,104,105,106,106,106,106,106,106,105,104,103,104,104,104,106,107,107,106,104,103,104,105,105,104,104,104,104,103,103,104,104,103,102,102,101,101,101,101,101,101,103,104,104,104,103,104,104,105,106,null],[107,110,113,112,108,102,98,98,101,101,100,99,99,98,99,101,102,102,100,101,104,108,109,106,105,104,102,102,105,117,113,95,90,93,91,89,88,87,87,88,88,88,88,88,89,89,90,91,90,88,86,87,91,93,95,100,105,105,101,95,89,87,88,89,89,89,88,87,87,87,88,88,87,87,88,90,91,93,94,94,92,90,89,89,88,87,91,99,105,103,98,95,100,103,96,92,94,94,92,88,91,96,94,92,91,92,94,97,94,91,91,91,89,87,88,93,98,100,98,95,94,96,97,96,94,94,95,96,97,97,95,91,89,92,96,97,98,100,102,104,104,102,99,99,103,105,104,104,100,95,95,99,101,99,94,90,88,87,89,93,93,90,87,84,83,86,94,103,105,100,93,90,92,93,93,92,92,91,90,90,91,94,98,101,101,100,99,100,101,102,102,99,93,89,90,92,92,93,96,99,99,99,99,99,98,98,100,100,100,99,97,96,100,103,102,98,96,97,98,99,100,100,99,100,102,102,99,96,95,94,93,96,100,100,97,95,95,97,97,97,99,104,106,106,104,105,106,104,98,97,100,104,103,100,96,94,96,99,102,102,101,98,97,97,98,99,98,97,94,94,98,102,102,101,102,102,100,97,94,95,96,97,99,97,95,95,98,100,97,96,98,99,97,98,101,104,105,105,105,104,105,108,108,107,105,103,103,103,104,104,103,102,102,103,103,103,103,103,103,103,102,101,99,99,101,103,103,103,103,103,103,101,99,98,99,99,98,96,96,96,97,101,105,107,107,108,110,111,109,107,107,108,109,110,110,108,108,109,110,109,109,108,106,104,104,105,106,105,104,103,104,105,107,108,108,107,106,105,105,105,106,105,103,102,101,101,100,99,99,100,99,99,101,101,100,101,102,102,103,103,103,102,102,103,104,104,104,105,106,106,105,107,107,105,105,105,104,103,103,102,99,96,93,95,98,100,101,101,102,101,100,99,101,103,103,102,101,102,102,101,102,103,104,104,105,103,103,103,103,103,105,107,107,106,107,108,108,108,108,107,105,103,103,106,107,107,107,107,107,107,107,106,105,105,105,105,108,109,107,106,106,105,104,103,103,104,105,105,104,104,104,103,103,103,103,103,102,100,100,101,101,102,103,104,104,104,103,103,103,104,106,null],[105,110,114,113,109,105,103,103,104,103,100,99,99,101,104,105,104,101,101,103,106,107,105,102,101,100,100,98,123,185,175,100,84,95,92,90,88,87,87,88,87,88,88,89,89,90,90,92,88,86,87,90,92,93,96,101,103,101,100,98,92,89,88,89,90,89,88,87,87,88,88,88,87,87,87,88,88,88,89,89,88,87,86,87,88,88,89,96,105,106,99,94,97,100,96,93,94,95,92,87,90,95,96,94,91,90,92,96,96,94,92,91,90,89,88,89,94,99,99,96,95,94,94,94,94,95,95,94,94,95,95,93,90,91,95,98,98,100,104,105,103,99,98,100,103,105,105,102,96,90,93,100,102,97,92,89,87,87,90,94,95,92,88,83,83,87,97,106,107,101,95,92,91,92,92,92,91,90,90,89,91,93,97,101,101,100,99,100,100,101,102,99,93,88,89,92,92,93,97,101,102,100,99,98,98,100,101,102,102,102,99,96,99,103,106,103,100,98,97,96,97,99,99,100,102,102,100,96,95,96,97,100,101,99,95,95,96,96,95,96,99,103,106,105,103,103,105,103,98,97,100,104,102,97,95,94,96,100,103,102,101,98,95,94,95,96,98,99,97,95,98,101,101,101,102,102,100,96,93,93,94,97,99,99,96,95,98,99,95,94,97,99,100,100,102,104,106,105,104,105,106,107,108,107,105,104,102,102,103,104,103,102,101,102,102,103,104,103,102,103,102,100,100,101,102,103,103,103,102,102,103,103,101,100,99,100,99,98,96,97,100,103,106,108,108,108,108,108,107,106,106,107,109,111,111,109,107,107,109,110,109,109,107,104,103,104,106,105,103,101,101,103,106,107,106,105,103,103,104,104,104,104,102,101,100,99,98,97,98,100,100,100,101,100,100,101,102,102,102,102,102,102,102,103,104,104,104,104,106,106,105,106,106,106,105,106,105,105,104,102,98,96,95,96,97,99,100,102,103,102,101,100,101,102,102,103,103,104,102,101,102,104,104,104,105,104,104,105,106,106,106,106,105,105,105,107,107,107,106,105,104,103,103,106,108,108,108,107,107,107,106,106,106,105,104,105,108,109,107,106,106,106,105,103,103,104,106,105,104,104,104,104,103,103,103,102,101,101,101,101,102,102,102,103,104,103,102,103,103,104,104,null],[99,105,110,109,106,104,104,104,102,100,100,99,100,103,108,109,107,105,104,106,107,105,102,99,99,100,101,102,103,99,99,104,105,99,92,89,88,87,87,87,87,88,88,89,90,91,91,90,87,86,89,93,94,94,95,99,100,98,98,99,96,92,89,88,89,89,89,88,88,88,88,88,88,89,89,88,88,88,86,87,88,87,87,87,87,86,86,92,102,106,101,94,95,99,97,95,95,95,92,87,88,95,99,97,90,88,90,93,97,98,94,90,90,90,88,87,91,98,99,97,95,93,92,94,95,96,95,93,92,93,95,94,91,91,95,99,98,101,106,105,100,97,100,104,104,106,106,100,92,89,95,102,103,97,90,87,86,87,91,95,97,95,88,83,83,88,98,107,107,102,98,95,91,90,91,91,91,90,90,90,91,93,97,101,102,100,100,100,100,100,101,98,93,88,89,91,92,94,98,103,104,102,100,100,102,104,103,102,102,103,102,98,98,101,106,107,104,100,97,95,96,98,99,100,101,101,100,98,96,96,99,102,102,98,95,96,96,95,94,95,99,103,104,103,101,101,102,102,98,97,100,102,101,98,96,95,97,101,103,102,100,99,96,94,94,95,97,98,97,97,99,101,100,101,102,102,100,96,93,93,94,97,100,99,96,94,97,99,95,94,99,101,102,102,104,105,106,105,104,104,105,106,107,107,106,104,102,101,102,103,102,101,101,101,102,103,104,103,101,102,101,99,99,99,100,101,102,102,101,100,101,102,102,101,100,100,100,98,96,97,102,104,105,107,108,107,106,106,105,107,108,107,107,109,110,109,107,107,109,109,109,109,108,106,103,103,105,104,102,100,100,101,103,104,103,102,102,101,101,102,102,102,101,100,99,98,97,96,97,98,100,100,100,100,100,103,103,101,101,101,102,103,103,104,104,104,104,104,106,106,105,105,105,106,106,106,106,106,105,102,98,97,97,97,98,98,99,101,103,103,103,103,103,102,102,104,105,104,102,102,104,106,104,103,104,105,105,106,107,108,107,105,104,104,104,105,105,105,104,104,105,105,104,105,107,109,109,108,108,107,105,104,104,104,104,105,107,107,106,105,105,107,107,105,104,104,106,105,104,104,104,105,105,104,103,102,101,102,103,102,102,102,101,102,104,103,102,103,104,104,104,null],[96,101,105,106,107,108,107,103,99,100,102,99,98,101,104,105,107,107,105,105,104,103,100,97,99,101,102,104,99,87,88,102,102,96,90,88,88,87,87,87,87,88,88,89,91,92,92,89,87,87,89,92,94,95,95,96,98,100,98,96,96,94,90,88,88,88,88,88,89,89,89,88,88,89,88,87,88,88,87,88,88,88,87,87,87,85,86,91,100,108,105,96,96,99,99,96,94,95,92,87,87,94,101,100,93,89,89,91,95,98,95,91,90,89,89,88,90,95,98,98,94,93,93,94,95,95,95,93,92,92,93,94,92,92,95,98,99,103,106,102,97,97,103,107,105,104,105,98,90,92,99,104,104,97,89,85,87,89,93,96,96,93,88,84,84,90,99,106,104,100,99,97,93,90,89,90,93,93,92,90,90,92,96,100,100,99,100,102,102,102,101,99,93,88,88,91,93,97,101,103,102,101,101,103,105,105,104,103,102,103,103,102,100,100,104,107,106,102,98,95,96,98,99,100,99,98,98,98,96,97,99,103,103,99,96,96,96,94,93,95,99,101,103,103,103,103,103,101,97,97,99,100,100,99,97,97,100,103,104,101,100,99,98,96,96,96,96,96,97,97,98,99,99,99,100,101,99,94,92,94,97,99,100,98,95,94,97,98,95,96,101,103,103,104,103,103,104,104,102,103,104,104,104,105,105,104,102,101,101,102,102,101,101,101,102,102,102,101,101,102,101,100,100,100,100,100,101,101,100,99,100,101,102,103,102,101,100,98,96,98,102,104,103,105,106,106,106,105,105,107,109,108,107,107,108,108,108,107,108,108,109,109,109,107,105,103,102,102,102,100,99,100,101,102,102,103,103,101,100,100,100,100,100,100,100,99,98,98,97,96,98,99,99,99,100,102,101,100,100,102,103,103,103,104,104,104,103,104,105,106,105,104,104,104,105,105,105,105,104,100,98,98,97,97,99,99,98,100,103,104,105,106,105,105,106,106,106,105,103,103,105,106,104,103,104,107,106,104,106,108,105,103,105,105,104,103,103,104,103,103,104,104,103,104,106,108,109,109,109,108,105,103,103,105,107,107,106,106,107,107,106,106,106,106,105,104,105,105,105,105,105,105,105,104,104,103,102,103,104,103,103,102,100,101,103,104,103,104,105,105,105,null],[98,99,101,103,106,107,105,101,99,101,103,100,97,98,100,100,104,105,105,104,102,102,100,97,97,99,101,101,102,105,103,97,92,92,88,87,87,88,88,88,88,88,88,89,92,94,93,89,87,89,90,92,95,97,96,93,96,102,99,94,95,95,92,89,87,87,88,88,90,90,89,88,88,88,88,87,88,88,88,88,88,87,87,87,87,86,86,89,97,106,105,98,96,99,102,99,95,95,94,89,87,91,99,102,97,93,89,89,91,95,95,92,89,88,89,89,90,93,98,99,95,94,94,93,94,95,95,94,94,93,93,93,93,92,93,96,99,103,103,100,96,98,104,107,105,104,102,95,91,96,103,106,103,95,88,85,87,91,95,96,94,91,87,85,87,94,102,105,103,99,98,97,95,93,90,90,92,94,92,90,90,92,95,99,99,98,100,102,103,102,100,97,92,87,87,90,94,98,102,102,100,100,103,106,106,106,104,103,102,102,103,104,103,101,102,105,106,104,100,97,96,97,98,98,97,97,98,98,97,96,98,102,104,101,98,97,96,93,93,95,99,101,103,104,104,104,103,100,97,98,99,99,99,98,96,98,101,104,103,101,100,100,99,99,99,98,96,96,97,97,97,97,98,98,99,100,99,93,92,95,99,101,100,98,96,94,96,97,96,97,101,102,102,103,103,102,102,102,101,101,103,104,104,104,104,104,103,101,100,100,101,101,101,102,102,101,100,101,103,103,103,102,101,101,100,100,100,100,100,99,100,101,103,103,102,102,100,98,98,100,103,103,103,103,103,104,106,106,106,108,110,109,108,108,107,108,108,109,109,108,108,108,108,108,106,103,101,101,102,101,100,100,100,100,101,102,102,102,100,99,98,99,99,100,100,99,99,99,98,96,97,98,99,99,99,100,100,99,100,101,103,103,103,103,103,103,102,103,104,105,105,105,104,103,103,103,103,104,104,102,99,98,97,97,99,100,100,101,104,105,105,106,107,108,109,108,106,106,106,105,106,106,105,105,105,107,106,103,104,107,104,104,106,106,105,104,104,105,103,102,103,103,103,103,104,106,107,108,109,109,106,104,104,107,109,109,107,106,109,109,107,105,105,106,105,104,104,105,105,105,105,105,104,104,104,103,103,104,104,103,103,101,100,101,103,104,104,105,106,106,106,null],[98,95,95,98,100,99,98,97,100,102,103,100,97,98,100,100,101,102,103,103,103,103,101,98,96,97,99,100,99,101,99,94,91,90,87,87,87,88,88,88,88,89,89,89,91,94,93,88,88,92,94,95,96,99,97,94,95,100,101,98,94,92,92,90,88,87,87,88,90,90,88,87,87,88,88,88,88,88,88,88,87,87,87,88,89,88,88,88,92,100,103,100,96,98,104,102,97,96,96,91,86,87,95,103,103,98,92,90,89,90,93,93,90,89,89,88,88,90,96,99,97,95,93,91,92,96,95,93,93,93,92,92,92,93,92,94,99,102,100,100,99,98,100,103,105,105,100,93,91,100,105,104,100,94,88,85,88,93,96,95,92,89,87,85,88,96,104,105,103,100,99,98,96,95,93,91,91,93,92,91,91,92,94,97,98,97,98,100,100,99,97,94,89,86,86,89,93,98,102,102,101,102,104,106,107,106,104,103,102,102,104,105,105,103,102,102,104,104,103,101,97,95,96,96,96,97,99,99,98,96,97,101,103,101,99,98,96,93,93,96,100,102,103,102,101,101,103,101,98,99,100,99,98,97,96,96,99,101,101,100,100,101,101,101,100,97,96,97,98,98,97,96,97,98,99,100,98,93,93,97,100,102,101,100,98,96,96,97,95,96,101,102,102,103,104,103,101,101,101,101,102,104,105,105,104,104,104,102,101,99,100,101,103,103,103,102,100,101,103,104,103,101,101,101,100,99,99,100,101,100,100,101,102,101,100,101,102,102,102,102,103,104,105,104,102,103,105,107,108,108,108,108,109,110,109,108,108,109,110,110,108,107,107,107,106,103,100,100,101,102,102,100,98,97,99,100,99,100,100,99,98,98,99,99,98,97,97,98,98,98,98,98,99,100,100,99,98,98,99,100,101,102,102,102,102,102,102,102,103,104,104,105,104,102,101,101,102,104,106,105,101,98,96,97,99,101,103,104,104,104,104,104,107,109,109,108,107,107,108,108,108,108,107,107,107,106,105,104,106,108,107,106,107,106,105,105,107,107,104,102,104,104,103,103,103,102,103,105,107,108,107,107,107,108,109,109,107,107,110,110,107,105,105,106,105,104,105,105,106,105,104,104,105,105,104,103,103,104,104,103,102,101,101,101,102,103,104,106,106,107,107,null],[94,91,90,93,93,92,92,94,97,100,100,99,99,100,103,104,104,102,102,102,102,104,104,101,100,101,102,101,100,100,98,94,90,89,87,87,87,88,87,88,88,91,90,89,92,94,92,88,89,93,96,96,96,98,99,96,93,94,99,101,96,92,90,90,90,89,88,88,89,89,88,87,88,88,88,88,87,87,88,88,87,88,88,88,88,89,89,87,89,95,101,102,97,96,102,102,98,97,96,93,88,87,92,101,105,103,97,92,89,89,92,94,92,90,88,88,87,89,95,99,97,95,92,88,91,96,96,94,94,93,92,91,92,94,92,93,98,101,100,101,101,97,97,101,104,104,98,93,95,103,106,103,97,91,86,85,89,94,96,95,92,88,85,85,90,99,104,104,103,102,101,100,99,97,96,94,93,93,92,92,92,92,94,97,97,96,98,100,99,97,93,91,87,85,85,88,91,97,101,103,102,102,103,104,104,104,104,105,106,106,106,106,106,105,103,102,103,103,103,102,98,95,95,95,96,97,99,100,99,97,97,99,101,101,100,99,97,93,93,97,101,101,100,99,98,100,102,102,100,100,101,100,98,96,95,95,96,98,99,99,99,98,99,100,99,98,97,98,99,100,99,97,98,99,100,100,98,95,95,97,99,100,102,101,98,95,97,98,95,96,101,103,103,104,104,103,101,101,102,101,102,103,104,104,105,105,106,105,103,100,100,101,103,104,103,102,101,101,101,102,101,101,101,100,99,99,100,101,100,99,100,101,99,97,97,100,102,101,102,103,105,106,105,103,102,103,105,107,109,110,108,107,107,109,111,109,107,108,110,111,110,108,107,108,107,105,102,101,102,102,101,99,97,97,98,98,98,99,99,98,98,99,99,98,98,98,98,98,98,98,98,98,98,100,100,100,99,98,100,101,100,101,102,102,102,102,102,102,103,103,104,104,103,102,101,101,103,105,106,106,103,98,96,98,99,101,103,104,104,103,102,102,104,106,106,107,107,107,107,108,109,109,108,108,108,107,107,107,108,110,110,108,107,106,106,106,107,107,107,105,105,103,102,103,104,104,103,102,104,105,105,106,107,108,109,109,109,109,110,109,108,108,107,107,105,105,106,107,108,107,106,105,105,105,104,103,103,104,103,102,102,102,102,102,102,103,104,106,107,107,107,null],[89,89,90,90,90,90,90,91,95,98,99,100,100,101,105,109,107,103,101,101,103,105,105,104,105,105,105,103,102,102,99,95,91,89,88,87,87,88,87,88,88,91,90,90,94,93,90,88,90,96,99,98,96,97,99,98,93,90,94,99,98,93,90,91,92,91,89,88,89,89,88,88,88,88,88,87,87,87,88,87,87,88,88,87,87,88,89,88,88,92,99,103,99,95,99,101,98,96,94,93,90,88,90,96,102,105,102,96,91,91,91,93,94,92,89,88,87,89,94,97,96,94,91,88,88,92,95,95,93,92,91,90,91,93,93,93,98,102,104,103,101,98,98,101,103,100,96,95,99,103,105,101,96,89,84,86,91,94,95,93,90,85,83,85,93,101,104,104,103,104,104,103,102,100,98,98,97,95,92,92,93,93,95,96,95,94,98,101,100,96,92,88,87,86,87,88,90,96,102,103,102,101,102,103,103,103,105,107,108,108,106,106,106,105,104,103,103,102,103,103,100,97,96,95,95,96,98,100,99,98,98,99,100,101,101,99,96,94,94,98,100,98,96,96,97,100,103,103,100,99,100,100,98,96,94,95,97,99,99,98,97,96,97,98,98,97,98,98,100,101,100,98,97,99,101,100,98,98,98,97,97,99,101,100,96,94,97,99,96,97,103,104,103,104,103,102,101,101,102,102,102,101,101,103,104,106,107,106,105,103,101,102,103,103,103,103,102,100,99,99,100,101,101,100,99,99,100,100,99,98,100,99,97,95,97,99,100,99,100,103,105,105,104,103,104,105,106,108,110,110,108,105,105,108,111,111,108,107,110,111,111,109,109,109,108,106,104,104,103,101,99,98,98,98,98,98,98,98,98,98,99,99,98,98,98,99,99,98,97,97,97,97,98,99,100,100,100,99,101,101,100,101,102,102,102,102,102,102,103,103,103,102,101,101,101,103,105,105,103,104,103,99,97,98,99,101,102,103,103,101,100,101,102,103,104,106,107,106,106,107,108,109,108,108,109,110,109,109,110,111,111,110,109,108,108,107,107,108,110,108,106,102,101,102,106,107,106,104,101,102,103,104,105,106,108,109,110,110,109,108,108,110,109,108,107,106,107,108,109,109,108,107,107,106,105,104,104,103,102,102,103,104,104,103,102,103,105,107,107,107,107,null],[92,93,94,93,92,93,93,94,98,99,100,101,102,101,104,108,105,100,98,101,105,104,102,101,103,104,103,102,101,99,97,94,93,89,88,87,87,88,87,88,88,90,90,92,94,91,87,90,96,101,102,101,99,98,98,99,95,90,91,95,96,95,94,93,92,90,90,91,92,90,88,87,88,89,88,87,88,89,88,86,85,86,87,87,87,88,89,89,87,88,94,101,100,98,99,100,98,96,94,92,89,87,88,92,98,103,103,100,97,93,90,91,95,95,92,88,87,89,93,96,95,93,91,88,86,88,94,96,94,92,92,91,91,93,93,94,97,104,107,104,101,100,102,102,100,96,95,97,101,101,101,99,93,87,85,87,92,93,92,89,87,84,84,88,96,103,104,103,102,103,104,105,105,102,100,101,100,98,96,95,94,94,95,96,95,95,99,103,101,95,89,86,87,90,93,93,92,95,101,104,102,100,101,104,106,107,106,106,106,105,106,106,106,105,104,103,102,104,104,102,100,98,97,97,96,96,96,97,99,98,98,99,102,103,101,97,95,94,96,99,99,96,95,96,98,101,103,102,99,98,99,100,98,94,94,96,100,102,100,97,95,95,96,96,96,97,98,100,101,101,100,97,96,98,100,99,99,101,100,98,96,99,101,99,95,95,97,99,97,98,103,105,104,103,102,101,101,102,102,102,101,102,102,103,105,105,105,105,105,104,102,102,101,101,102,102,101,100,98,99,101,103,102,101,99,99,99,99,98,97,98,97,96,96,98,99,98,96,100,103,104,104,105,105,106,107,108,110,110,109,107,105,106,108,111,111,109,107,108,109,109,109,110,111,110,107,105,104,103,100,98,98,98,98,99,99,99,99,99,100,100,99,97,98,99,99,98,98,97,97,97,97,98,99,100,100,100,100,100,100,100,101,102,102,101,102,102,103,103,103,101,100,100,101,103,104,105,103,100,101,102,99,97,98,99,100,101,102,101,99,99,99,101,103,104,105,105,105,105,106,107,108,108,109,110,110,109,109,110,111,110,110,111,111,110,109,110,111,112,110,107,103,101,103,107,110,109,105,102,101,102,103,102,104,106,108,110,109,107,107,108,110,111,110,109,109,109,110,110,109,108,109,108,107,106,105,105,103,102,103,105,106,105,103,102,104,105,106,108,109,108,null],[95,98,98,98,99,100,100,101,102,101,100,101,102,101,103,104,101,97,96,101,105,104,103,102,103,103,103,102,100,98,96,94,94,88,88,88,88,87,87,88,88,89,90,92,93,88,87,92,100,105,103,100,100,100,99,99,95,91,88,90,93,95,97,97,95,93,91,90,91,91,89,89,90,90,89,88,88,89,89,87,86,86,87,88,87,87,88,88,87,86,91,98,101,102,101,101,99,97,95,92,89,87,87,90,95,99,101,102,100,96,91,91,94,97,95,90,87,89,91,93,93,94,93,91,88,87,92,96,94,93,94,91,91,92,93,94,97,104,108,105,101,103,104,103,99,97,97,99,100,99,99,98,92,87,87,89,91,91,89,87,85,85,87,93,101,105,106,103,100,101,103,104,103,102,102,103,102,101,100,98,96,96,97,97,95,94,98,100,97,91,86,86,91,97,101,98,93,93,98,102,101,100,103,107,109,108,107,105,104,105,105,106,104,103,103,102,102,104,104,102,100,99,99,99,98,96,96,97,99,99,98,101,105,105,100,95,93,94,97,99,98,95,94,96,99,102,103,102,99,98,99,98,96,94,95,99,103,104,101,97,94,95,95,95,95,96,97,99,101,102,101,98,95,97,99,100,101,103,102,99,98,100,102,98,94,94,97,99,98,100,104,105,104,103,102,101,101,102,102,101,100,101,103,104,104,104,104,104,104,104,103,102,101,100,101,100,98,97,98,101,103,103,102,101,101,100,100,99,98,98,97,97,97,99,100,99,97,98,101,104,103,102,103,104,105,106,108,110,109,108,106,107,107,107,108,108,108,108,108,108,108,108,110,111,110,108,106,105,104,101,99,98,98,98,99,99,98,99,99,100,100,99,97,98,99,98,97,98,98,98,97,97,98,98,99,100,100,100,100,100,100,101,102,101,101,102,103,103,103,102,101,99,100,102,103,104,104,101,98,99,100,99,98,98,98,99,100,100,99,98,97,98,100,103,105,106,105,104,104,105,106,106,107,108,109,109,107,107,108,109,109,110,111,112,111,111,111,112,112,111,108,105,104,104,106,108,109,107,104,103,104,103,102,103,104,106,107,107,107,108,108,109,110,111,112,111,111,111,110,108,108,109,109,108,107,106,105,103,103,104,106,106,105,104,104,104,104,106,107,109,108,null],[97,100,102,105,108,109,109,108,105,103,101,101,101,102,102,102,100,98,99,102,104,106,106,106,106,105,105,104,101,100,97,91,90,88,87,88,88,87,87,88,88,89,90,91,91,87,88,95,102,104,100,96,97,99,101,99,96,91,88,88,91,94,97,100,101,99,94,91,90,90,91,92,93,92,90,89,89,89,89,89,89,89,89,89,89,89,89,89,90,90,92,96,101,103,104,102,101,99,97,93,90,88,87,90,93,97,101,102,101,99,95,93,93,97,98,93,89,88,88,89,92,94,95,95,92,90,92,94,94,94,94,92,91,91,93,94,96,102,107,106,104,104,106,104,101,101,102,99,97,99,99,96,90,87,87,88,89,90,88,86,85,86,91,98,104,108,106,103,100,100,102,102,100,100,101,103,104,104,103,101,99,99,100,97,94,92,94,94,91,87,86,89,96,103,106,103,95,91,93,97,100,101,105,108,109,108,106,105,104,105,106,105,104,103,104,103,102,102,102,102,100,99,99,99,98,97,97,98,100,100,99,102,106,104,99,95,92,93,96,97,96,95,94,96,99,102,103,102,100,100,99,98,96,95,97,102,104,103,100,98,96,95,95,96,96,96,96,98,101,103,102,98,96,97,100,101,102,103,101,98,98,101,102,98,94,95,98,100,100,103,105,105,104,104,104,103,102,101,101,100,100,101,102,103,104,105,105,104,102,103,105,103,101,99,99,97,95,95,98,102,104,103,101,102,103,102,100,99,99,99,97,98,99,100,99,100,100,100,102,104,104,102,101,102,103,104,107,109,109,108,108,108,108,107,106,106,106,108,109,110,108,108,109,110,109,107,106,105,104,102,100,98,98,98,98,97,97,99,99,98,99,99,98,98,97,97,97,98,99,99,98,97,97,98,98,99,99,99,99,99,100,101,101,101,102,103,103,102,102,102,101,101,101,102,103,103,102,100,99,99,100,99,98,98,98,98,98,98,98,97,97,98,100,103,106,106,105,103,103,104,105,105,106,107,107,106,105,106,106,106,108,109,109,109,110,111,111,111,111,111,110,108,107,106,105,105,106,107,106,105,105,104,104,105,105,104,104,105,107,108,108,109,110,111,113,113,112,112,111,109,109,109,109,108,107,107,107,106,105,105,105,105,104,105,105,104,103,104,107,108,108,null],[101,105,107,108,110,112,112,111,109,107,104,102,101,101,101,102,102,103,104,105,104,107,109,108,106,104,103,104,103,100,97,89,88,87,87,88,88,87,87,89,90,90,91,90,89,88,91,97,101,100,96,93,94,97,99,100,96,92,90,90,91,93,96,99,101,102,100,97,93,92,92,93,93,92,91,89,89,88,88,88,88,89,88,89,91,94,96,97,99,101,99,96,97,101,103,103,102,100,98,95,91,88,88,89,91,94,99,102,103,101,99,95,92,93,96,97,94,89,86,88,91,96,98,98,96,94,92,93,94,95,94,93,91,90,91,93,93,97,104,107,106,106,106,106,103,103,102,97,94,97,98,94,88,85,87,88,88,87,86,85,85,89,97,104,107,107,105,103,101,100,99,97,97,97,98,101,103,104,103,102,101,101,100,96,92,91,92,91,90,91,94,97,101,104,106,105,99,93,91,94,98,100,104,107,107,106,106,105,105,105,104,104,104,104,105,105,103,101,100,99,100,99,99,100,100,97,96,97,100,100,99,101,105,104,100,96,93,94,96,95,94,94,95,97,100,102,103,102,100,98,98,99,100,99,100,102,102,102,100,98,97,95,95,97,98,98,96,97,100,102,101,99,97,98,100,100,101,102,100,97,97,101,103,98,94,95,98,100,101,103,105,105,104,103,103,103,102,100,100,101,101,101,101,101,103,105,104,103,102,104,106,104,101,98,97,95,93,94,97,100,101,101,101,102,102,101,98,97,97,98,98,98,99,98,98,100,99,98,101,104,106,106,104,102,101,102,104,106,108,109,110,109,107,106,105,105,107,109,110,111,111,110,109,108,107,106,104,104,103,102,100,98,98,98,98,97,97,99,99,98,97,98,98,97,96,97,98,97,97,98,99,98,98,98,98,98,98,99,99,99,100,100,100,101,101,102,102,102,102,102,101,101,102,102,102,102,100,99,100,101,101,99,97,97,97,97,97,97,98,98,98,100,102,104,105,105,105,103,103,103,104,105,105,105,105,104,104,105,105,105,106,108,108,108,108,109,110,110,110,110,111,112,110,108,106,105,105,106,108,106,104,104,105,106,107,105,103,103,105,106,106,107,109,111,113,113,111,111,111,110,109,109,108,108,108,108,108,108,107,106,106,105,104,105,107,105,104,104,106,107,107,null],[101,105,108,107,107,110,110,110,110,110,108,106,104,102,102,104,106,108,109,108,108,110,111,108,105,102,103,104,103,97,95,88,87,87,87,88,88,87,87,90,92,90,91,90,88,90,96,100,100,96,93,91,91,94,96,98,98,95,93,93,92,92,94,97,99,101,103,101,98,96,96,96,94,93,92,91,93,92,91,91,91,91,92,93,96,100,103,105,108,110,106,99,96,98,101,102,102,100,98,96,92,88,87,87,89,92,98,102,104,103,101,97,92,90,93,98,98,92,88,88,91,96,99,100,98,96,92,92,94,94,93,93,92,88,90,91,91,94,101,107,108,107,106,106,104,102,100,96,94,97,97,92,87,84,86,88,87,86,85,84,87,93,102,107,107,106,104,103,103,101,98,96,97,97,96,98,101,103,102,101,102,101,99,96,94,93,93,93,95,99,102,103,103,104,105,105,102,96,91,91,94,98,103,105,105,104,104,105,105,104,104,104,103,104,105,105,104,102,100,99,99,100,99,101,101,98,96,97,100,100,98,99,102,102,99,95,94,95,96,96,94,94,97,100,102,103,103,101,98,95,97,101,103,101,100,100,101,101,99,98,97,96,96,97,99,98,96,97,100,102,101,99,99,100,101,100,100,101,100,98,97,100,103,99,95,96,98,99,101,103,105,105,103,101,101,102,101,100,100,101,102,102,102,102,103,105,104,102,103,104,104,103,101,98,96,95,95,96,98,100,100,100,101,102,101,98,96,94,96,97,98,98,97,97,98,100,99,98,99,104,108,109,107,104,103,103,103,105,107,109,111,109,107,106,106,107,108,109,110,110,111,110,109,108,107,105,103,102,103,102,100,99,99,99,98,98,99,100,100,98,97,97,98,97,96,97,98,97,96,97,98,99,98,98,98,97,98,99,99,99,100,100,100,101,101,101,102,102,102,101,101,102,102,102,101,100,99,99,100,101,100,98,96,96,96,96,96,96,98,99,100,101,103,104,104,103,104,103,103,104,105,105,104,104,104,104,104,105,105,105,105,106,108,107,107,107,108,109,108,109,111,112,112,110,109,108,107,106,106,106,104,105,106,107,108,107,105,103,104,104,105,106,108,110,111,111,110,111,113,112,110,109,109,110,109,110,109,109,108,108,107,106,105,106,107,106,105,106,107,107,107,null],[95,98,101,103,103,106,106,107,106,107,108,111,109,104,103,105,107,109,110,111,111,112,111,108,105,104,106,103,98,95,96,88,87,87,87,88,88,87,87,90,93,90,92,91,87,92,99,101,99,93,90,90,91,92,93,96,98,99,98,95,93,90,92,96,99,100,100,100,101,102,102,100,98,97,96,96,99,101,100,99,98,99,100,102,103,105,107,109,109,107,106,103,99,97,99,100,100,98,97,96,93,89,87,86,88,91,96,101,102,101,101,98,95,91,92,97,100,98,92,88,89,94,98,101,100,97,92,92,95,95,94,94,92,89,88,89,90,94,100,105,107,107,106,106,104,101,99,96,96,98,96,91,87,86,86,87,86,86,86,86,91,98,104,106,106,106,105,103,102,102,100,99,98,96,95,97,100,101,101,101,101,102,101,98,97,98,97,98,101,104,105,103,103,104,105,104,104,101,94,89,91,98,105,106,103,100,100,103,105,105,104,103,102,102,104,104,104,103,103,102,101,100,99,101,101,98,96,97,99,98,97,99,101,100,97,95,94,96,99,100,98,98,99,101,103,103,101,99,96,95,98,102,102,99,98,99,101,101,100,99,98,97,96,97,98,97,97,98,100,102,102,102,101,101,102,102,100,101,101,100,97,98,100,98,95,95,97,99,102,104,104,104,102,100,99,100,101,101,101,101,101,102,104,105,105,104,103,103,104,103,102,101,100,99,97,97,97,98,100,100,101,101,101,100,99,98,96,95,96,97,98,97,96,97,99,101,101,99,100,103,106,108,107,106,106,106,106,105,107,109,110,109,108,107,107,108,108,108,108,108,108,108,108,109,110,107,104,102,103,104,103,101,101,100,99,99,99,99,99,98,98,98,98,98,97,97,97,98,97,97,97,98,98,98,97,97,98,99,99,99,100,99,99,101,102,103,102,101,100,100,101,102,102,101,100,100,98,98,99,99,98,97,97,97,96,95,95,95,96,100,102,103,104,104,103,102,102,103,104,105,105,105,104,104,104,104,104,105,105,105,105,106,107,107,106,107,107,107,107,108,110,111,110,112,111,110,109,107,105,104,106,107,107,106,107,108,106,105,104,105,106,105,106,108,109,110,110,111,113,114,112,111,110,111,111,111,110,109,109,109,108,107,106,106,106,107,107,106,106,106,107,null],[91,91,91,94,97,97,98,99,99,99,101,104,105,102,101,102,103,103,104,108,108,107,105,105,106,108,108,101,95,96,99,87,87,87,87,88,88,87,88,89,92,91,93,91,88,93,100,102,98,93,90,90,92,93,93,94,97,100,100,98,94,92,91,93,96,99,99,100,103,105,103,101,99,99,100,100,102,104,106,106,107,107,108,108,106,105,106,107,106,104,105,105,103,99,98,99,101,99,97,96,94,92,88,87,88,90,93,98,100,101,99,98,97,95,92,93,98,100,95,88,87,91,96,99,100,98,93,91,93,94,95,94,91,89,88,89,91,94,97,104,107,107,106,106,104,101,98,97,98,98,95,91,87,86,85,85,86,85,86,91,98,103,105,105,105,105,104,101,102,103,101,101,99,96,94,97,100,101,101,100,101,101,102,100,99,100,101,102,104,104,102,101,103,105,103,102,105,103,95,88,89,97,104,104,99,97,100,104,106,106,105,104,102,102,102,104,104,102,101,100,98,98,99,100,100,99,98,97,96,97,98,100,101,98,94,94,95,98,101,102,101,99,100,101,101,99,98,97,96,98,100,101,100,98,98,100,102,101,100,99,98,97,97,97,98,99,99,100,101,102,103,104,103,101,102,104,104,103,103,101,97,97,98,97,95,95,96,99,101,102,101,100,99,99,99,100,101,101,101,101,101,102,104,107,106,105,104,104,104,103,101,102,101,100,100,99,99,100,101,101,102,103,101,99,98,97,97,96,97,97,97,96,96,98,101,103,102,101,102,103,104,106,107,107,108,109,107,105,104,106,108,109,108,107,107,108,108,107,106,105,105,106,107,109,111,110,106,104,103,104,103,102,102,102,100,99,98,98,98,98,98,98,97,97,98,97,97,98,98,98,97,97,98,98,97,97,98,100,100,100,100,100,100,102,104,103,101,100,99,100,101,101,100,99,100,100,97,97,98,98,97,97,98,98,96,94,94,95,97,101,103,104,105,105,104,103,102,103,104,104,104,104,104,104,103,103,104,105,105,105,106,107,108,106,105,107,107,107,107,107,108,109,110,111,112,111,111,108,106,104,106,107,107,107,107,108,108,107,106,106,106,104,104,106,107,108,109,110,112,113,113,113,112,111,111,112,112,110,109,109,109,108,107,106,106,107,107,107,106,106,106,null],[95,92,88,90,92,92,92,93,93,92,93,94,96,99,100,99,97,97,99,103,103,101,98,100,108,112,108,98,93,90,89,87,87,87,87,87,87,88,88,89,90,93,91,89,90,95,100,101,97,93,90,90,91,93,93,93,95,98,100,100,97,95,92,90,91,95,98,101,104,105,102,100,99,100,103,103,102,102,105,108,111,111,111,109,107,105,104,105,105,105,106,107,106,102,98,99,103,102,98,96,95,94,91,89,89,88,90,94,98,100,98,97,98,97,94,91,94,97,96,90,86,89,95,99,100,99,95,91,91,93,96,94,93,91,89,88,90,92,95,103,109,109,106,105,103,101,98,97,98,97,94,92,88,85,84,84,85,86,90,98,104,106,106,105,105,104,102,100,101,103,103,102,99,94,92,95,98,100,100,99,99,101,102,100,99,100,102,103,103,101,100,101,104,105,101,100,105,104,96,88,89,96,103,102,96,97,103,107,107,106,105,105,104,103,102,103,104,101,97,94,94,96,98,99,100,101,100,97,96,96,98,101,102,98,93,93,96,101,103,102,101,100,100,101,98,95,95,97,99,101,101,101,100,100,101,101,101,101,100,99,98,97,98,99,100,101,102,101,102,103,104,104,103,101,101,105,107,104,102,100,97,96,98,97,94,93,95,99,101,100,97,96,97,98,99,99,100,100,100,101,101,101,103,105,106,105,104,104,104,103,102,103,102,101,100,99,99,100,102,101,102,102,100,98,97,98,98,97,97,97,96,96,97,99,101,103,102,102,103,104,104,105,106,107,108,108,107,104,102,104,107,109,107,107,107,107,107,105,103,103,105,106,107,109,111,111,110,106,104,104,104,103,103,103,101,99,98,98,98,98,98,97,96,97,98,97,97,98,99,99,97,97,98,98,98,98,99,100,100,100,101,101,101,102,103,102,100,99,98,100,101,100,99,99,100,100,97,96,97,97,97,98,98,98,96,94,94,96,100,102,104,105,106,106,105,104,103,104,104,103,103,103,105,105,103,103,105,106,106,106,106,108,108,106,105,106,107,107,107,107,107,108,109,110,110,111,111,111,108,107,106,106,106,107,107,108,108,108,107,107,106,103,103,105,106,107,108,108,109,110,112,113,112,111,111,112,113,112,110,109,110,110,108,107,107,107,107,108,107,106,106,null],[101,100,96,95,96,96,95,93,93,93,93,94,96,100,102,100,98,98,101,102,100,98,97,100,107,111,106,95,91,88,87,88,88,88,88,87,87,88,88,91,89,93,89,88,92,97,99,97,94,92,91,91,91,92,93,92,94,96,98,100,100,97,94,91,88,90,93,98,102,103,102,104,105,104,105,105,104,102,102,104,106,108,108,106,106,106,105,105,105,106,106,106,107,104,98,98,103,104,101,97,96,96,95,92,89,88,88,90,94,98,98,96,97,98,97,93,92,94,96,93,89,90,95,99,100,99,96,92,90,91,94,95,94,93,91,88,88,89,94,102,109,109,107,103,101,99,97,96,95,95,94,92,89,86,85,84,87,92,98,104,106,105,105,106,105,104,102,100,102,104,103,102,100,96,92,92,93,94,96,97,98,100,100,99,100,102,102,101,100,100,100,101,102,101,99,100,104,104,97,88,89,97,104,103,101,103,107,105,103,103,104,104,104,104,104,104,103,101,97,91,91,94,97,99,100,103,104,100,96,94,96,100,101,99,95,93,97,102,103,102,101,102,101,98,96,96,98,99,100,102,101,100,100,101,102,101,100,100,100,99,98,98,99,100,101,103,103,100,99,102,104,105,104,101,99,102,104,103,101,98,95,97,100,98,94,93,96,99,101,99,96,94,95,97,97,97,98,98,99,100,101,100,101,104,104,103,103,103,103,102,102,102,101,100,100,99,99,100,102,101,100,98,96,95,96,98,98,97,96,96,97,98,100,101,101,102,102,102,103,105,105,104,105,106,108,108,106,104,101,103,108,109,107,107,107,107,106,103,101,103,106,107,107,108,109,110,110,107,105,104,105,106,105,103,101,100,99,98,98,98,98,97,97,97,97,97,97,98,98,98,97,98,99,99,98,98,99,100,99,100,101,101,101,101,101,101,99,97,97,98,99,100,101,101,101,100,97,95,96,95,96,96,97,97,96,95,95,98,101,103,104,107,107,106,106,105,105,106,106,105,105,106,106,105,105,106,106,106,106,106,105,105,106,107,106,106,106,106,107,107,106,106,107,108,109,111,111,111,112,111,109,107,105,104,105,106,106,106,107,107,106,105,105,106,106,106,107,108,108,107,108,110,111,110,111,112,112,112,111,111,110,109,108,108,108,108,108,109,108,107,107,null],[105,105,104,101,102,104,103,98,97,97,99,100,100,102,103,103,102,102,104,103,102,102,102,104,107,107,102,93,92,87,87,88,88,88,88,87,87,88,88,91,88,90,88,89,95,99,99,97,95,93,94,93,92,92,93,92,92,94,97,99,100,99,96,94,91,89,90,93,96,100,103,107,108,106,105,104,104,102,100,99,99,102,103,103,104,105,105,104,104,105,106,106,106,103,98,97,100,103,103,101,98,97,96,94,91,89,88,88,92,96,97,96,96,98,99,96,92,91,95,97,94,92,93,96,99,100,98,93,90,90,93,95,96,95,93,89,87,87,92,101,108,109,106,102,99,97,96,95,94,94,94,91,87,85,85,87,92,99,104,105,104,102,103,105,105,103,101,99,102,104,103,101,100,98,95,93,90,90,92,94,96,98,99,98,101,104,103,100,99,99,101,102,101,99,99,102,105,103,96,88,90,100,106,107,106,107,105,102,100,102,104,103,104,105,105,104,103,103,98,92,91,94,97,99,102,105,105,101,97,94,96,99,101,100,97,96,98,101,101,101,101,102,100,97,97,99,102,102,102,101,101,100,101,102,103,103,101,100,99,98,98,99,98,98,99,102,102,98,97,100,104,106,105,101,99,100,101,101,100,97,96,99,102,100,95,93,96,100,101,99,96,94,94,95,95,95,96,97,98,99,100,100,102,104,103,101,100,100,101,102,101,100,100,99,99,99,100,100,100,99,97,96,95,95,96,97,98,97,97,97,98,100,102,103,101,100,100,102,104,105,107,105,104,106,108,108,106,104,103,105,108,109,107,107,108,108,106,103,102,104,107,107,107,108,109,109,109,108,106,105,106,107,106,104,102,102,102,100,98,98,98,98,97,97,97,97,97,98,97,96,96,97,98,98,98,98,98,98,98,99,100,100,99,99,100,100,98,96,95,96,97,99,102,103,102,100,97,95,95,95,95,96,96,97,97,97,98,100,101,102,105,107,106,106,106,106,105,107,108,108,108,108,107,106,107,107,107,106,106,105,104,103,103,104,105,105,105,106,107,107,106,106,106,106,108,111,110,110,112,113,111,108,106,105,105,106,105,105,105,106,106,106,107,107,107,106,107,108,108,107,107,108,109,110,110,111,112,111,112,112,111,109,108,109,109,109,108,109,109,108,108,null],[104,105,105,104,105,108,107,103,101,102,104,105,104,101,100,102,104,104,102,103,105,106,107,107,106,102,97,94,88,87,87,88,88,87,87,87,87,87,89,89,89,88,88,92,98,100,100,101,99,97,98,98,94,93,92,92,92,92,94,97,99,99,98,98,98,96,92,90,91,96,103,105,106,107,104,100,101,101,100,98,97,99,99,100,101,101,101,101,102,104,105,106,103,100,98,97,98,100,104,105,102,97,95,95,93,90,88,88,90,93,96,96,95,97,100,99,93,90,93,97,96,91,89,93,98,100,98,94,89,89,92,95,97,97,94,91,88,86,89,97,104,106,105,101,97,96,96,96,95,94,92,89,86,85,88,94,100,105,106,104,102,101,100,101,103,102,99,97,100,103,103,101,99,98,98,97,94,90,90,92,94,96,98,98,101,104,104,102,100,99,101,103,102,100,101,105,106,102,93,88,93,103,108,108,106,104,101,100,102,103,104,104,104,106,106,105,104,103,99,95,93,93,96,99,102,105,105,101,97,95,96,99,101,101,99,98,99,100,98,98,100,100,99,98,100,102,103,103,102,101,101,101,100,101,104,104,102,101,99,97,96,97,98,98,99,100,101,98,96,98,102,106,106,103,100,100,100,100,99,98,98,101,103,100,95,94,97,101,101,98,96,94,94,95,95,94,95,97,97,97,98,99,103,106,103,99,96,96,98,100,101,99,97,96,98,99,101,100,98,97,97,97,98,97,96,97,99,97,98,99,99,101,103,104,102,100,100,102,104,105,107,106,105,105,107,107,106,104,105,106,108,108,107,108,109,108,106,103,104,105,105,105,106,107,109,110,108,107,107,107,107,107,106,105,105,105,105,102,98,97,98,98,97,97,97,96,96,96,96,96,96,96,96,97,98,97,97,97,98,98,99,99,99,100,100,100,99,97,96,96,96,97,100,103,103,100,98,95,94,95,96,97,97,97,97,98,100,100,101,103,105,106,106,105,106,105,105,107,109,110,110,109,108,108,108,108,107,105,105,104,104,102,101,101,102,104,105,105,106,106,106,107,108,108,108,110,110,110,110,111,111,109,107,107,108,109,107,106,104,105,106,106,106,107,107,107,107,108,109,109,109,109,109,109,108,110,111,112,112,112,112,111,110,110,110,109,108,108,108,108,108,null],[102,103,105,104,105,107,108,106,103,103,105,105,102,98,97,99,103,103,100,103,107,107,106,105,102,98,96,95,88,87,87,88,88,87,87,87,87,84,90,89,88,89,91,95,100,101,101,104,102,98,97,98,98,94,91,91,92,91,92,95,97,98,97,97,100,102,98,92,91,95,100,103,105,108,105,101,99,100,101,101,100,99,97,95,94,94,97,98,99,101,104,106,103,101,101,101,101,99,103,108,105,98,94,95,96,93,89,88,88,90,94,96,95,96,98,99,96,92,92,94,96,93,90,92,97,99,98,95,92,88,89,92,94,98,95,92,89,85,86,93,100,103,104,102,98,96,96,97,97,94,89,86,87,92,98,103,106,107,106,104,103,101,99,102,104,101,97,96,99,103,103,100,97,97,99,100,97,91,89,89,92,96,98,97,98,101,102,100,99,99,101,104,104,103,104,105,104,98,91,91,97,105,107,105,103,101,99,100,102,103,104,105,107,108,107,106,104,102,101,99,96,94,95,99,102,104,103,99,96,94,96,99,102,102,101,101,100,100,99,98,98,98,99,101,102,102,104,102,100,98,98,101,102,102,103,103,102,101,100,98,96,96,99,100,101,101,100,99,97,98,102,106,106,103,99,98,99,101,100,99,99,102,103,100,96,96,99,100,98,97,95,94,94,95,94,94,95,96,97,96,95,98,103,106,104,98,94,95,97,99,100,99,97,96,97,99,101,100,98,99,99,98,97,96,96,97,98,97,97,98,98,99,101,102,101,101,103,106,105,103,105,106,106,106,106,107,107,105,104,105,107,107,107,109,109,108,106,105,105,105,106,105,106,107,109,110,108,106,106,107,107,106,105,104,105,105,104,102,99,97,97,97,97,97,98,97,96,95,95,96,97,97,97,98,98,97,97,98,98,98,98,99,100,101,101,100,100,100,98,97,96,96,98,102,103,102,101,98,94,95,97,99,98,97,98,100,101,102,103,105,106,106,105,105,106,106,105,107,109,110,110,109,109,108,108,107,106,104,103,103,103,103,102,102,102,102,103,104,104,104,105,106,108,108,109,110,110,110,109,111,112,110,109,109,110,111,109,107,105,105,106,105,105,106,107,108,108,108,109,110,110,109,108,108,107,109,111,112,112,112,113,113,111,110,110,109,108,107,107,107,108,null],[100,100,103,104,103,103,104,104,103,102,101,101,100,98,97,97,100,100,99,102,106,103,102,100,97,95,95,96,88,87,87,88,88,87,87,88,87,77,94,89,87,90,94,97,99,101,103,105,102,98,95,97,99,96,92,91,91,92,92,93,95,96,96,95,98,103,102,97,95,95,98,100,102,105,105,103,102,101,102,104,103,100,96,94,91,92,94,96,97,99,102,106,106,104,104,106,105,101,101,106,107,101,96,96,98,96,92,88,87,88,90,94,96,95,96,98,98,95,91,92,95,95,92,93,96,98,98,97,94,89,87,90,93,98,95,93,89,86,86,90,97,102,104,102,99,96,96,97,97,92,88,88,93,101,107,108,108,107,107,106,105,103,101,104,105,101,96,96,101,104,103,99,95,95,98,100,98,93,89,88,91,97,98,95,96,99,99,98,99,100,102,104,105,105,104,103,100,94,91,96,102,105,103,101,102,102,102,102,102,103,105,107,110,110,108,106,104,101,101,102,99,96,97,99,102,103,102,99,96,94,94,97,101,103,103,103,102,101,100,98,97,98,101,102,102,101,100,99,96,94,96,100,103,103,102,102,102,101,99,99,98,98,101,102,102,101,100,98,98,99,102,105,104,101,97,97,100,102,101,99,100,102,102,99,97,99,100,98,96,95,95,94,94,95,95,94,95,96,97,96,94,97,102,105,104,99,95,96,98,98,99,100,100,98,98,99,100,99,100,100,100,98,96,95,95,96,97,96,96,96,96,97,99,99,100,101,106,109,107,103,103,105,107,106,107,108,108,107,105,104,105,106,108,109,108,108,108,106,105,106,107,106,106,107,108,108,107,106,106,107,107,106,104,103,103,103,102,100,98,98,97,96,97,98,98,97,96,95,95,96,98,98,98,98,98,97,97,98,98,98,98,99,100,102,102,101,102,103,101,99,97,97,98,101,103,104,104,100,94,95,98,99,98,97,99,101,102,103,105,107,107,106,105,105,106,105,105,106,107,109,109,109,108,107,106,106,105,103,103,103,103,103,103,103,103,102,102,103,103,103,105,105,106,107,108,108,109,109,110,111,112,111,110,109,110,111,111,109,107,107,107,104,104,106,108,108,108,108,109,111,111,109,109,108,107,108,109,110,111,112,113,113,112,111,110,109,108,107,107,107,108,null],[98,98,101,104,103,99,99,101,101,100,98,99,101,102,101,100,97,97,100,103,101,97,96,96,92,90,90,89,88,87,87,88,88,87,87,88,88,87,88,89,85,89,95,99,98,101,106,107,103,98,97,98,96,96,95,92,91,93,93,91,92,93,94,94,96,98,99,99,99,98,97,96,97,97,99,102,104,103,102,103,103,100,98,97,97,96,93,93,94,97,103,107,108,107,106,108,108,103,100,103,106,106,101,97,96,96,94,89,87,87,89,91,94,96,96,95,96,96,93,91,94,94,92,91,93,99,100,98,96,91,88,90,93,97,97,94,90,87,86,89,96,103,104,101,98,97,97,96,93,90,91,96,102,107,107,106,106,107,108,108,107,105,104,105,104,99,95,96,100,103,102,97,94,95,96,96,96,95,90,87,91,97,99,97,97,99,99,99,101,102,104,105,106,106,104,100,95,91,94,101,105,103,100,100,104,106,104,103,103,104,106,108,110,109,107,106,104,103,101,100,99,99,99,100,103,105,104,101,99,97,93,94,98,102,104,105,104,101,98,97,98,101,103,102,100,97,96,95,94,94,96,99,102,103,103,103,102,100,100,100,101,101,101,101,101,100,98,97,97,98,102,104,102,99,98,99,102,104,102,100,100,102,101,98,98,99,99,97,95,95,95,94,94,95,95,94,95,96,96,95,95,97,101,104,103,100,98,99,100,99,98,100,102,102,102,101,100,99,99,99,98,96,95,95,95,96,96,96,96,95,96,97,99,99,99,99,103,109,109,106,103,105,107,107,107,108,109,109,107,105,104,106,107,107,107,107,107,107,107,107,107,107,107,106,107,106,106,107,108,109,108,106,103,102,102,101,99,97,98,99,97,96,97,98,97,97,96,95,95,96,97,98,98,98,97,97,97,96,97,97,97,98,100,101,102,103,104,104,103,101,99,99,100,101,104,106,106,101,96,96,97,97,97,98,99,101,102,104,105,108,108,107,105,105,105,105,104,105,106,107,108,107,106,104,104,105,105,104,103,103,102,103,104,104,103,103,104,104,104,104,104,104,104,105,106,106,107,108,109,110,111,111,110,109,110,110,110,109,109,109,107,104,103,106,108,108,108,109,111,111,111,111,110,109,107,106,107,108,110,112,113,113,113,112,111,110,109,108,107,107,108,null],[99,99,99,103,104,100,97,97,98,98,99,100,102,104,104,101,97,96,99,100,97,93,92,92,90,89,89,88,88,87,87,88,88,88,88,87,87,87,87,88,86,89,96,100,98,101,106,108,104,98,99,99,96,96,97,93,91,91,93,93,91,90,92,94,96,95,95,96,98,100,99,98,97,95,96,99,102,102,100,101,101,99,97,98,101,100,96,94,95,99,105,109,108,106,106,108,108,105,100,99,104,108,105,100,96,96,96,92,89,88,88,89,92,97,98,94,93,95,95,94,93,93,92,89,91,98,101,99,97,94,91,91,93,98,99,96,91,87,86,89,95,103,104,99,97,96,97,95,93,94,98,102,105,106,104,103,104,106,107,108,106,105,106,106,102,97,94,96,100,102,100,96,94,94,94,91,93,94,91,88,91,97,99,97,97,99,100,101,103,104,104,104,103,103,101,98,95,94,98,102,104,103,101,103,106,107,105,104,104,105,106,107,107,106,104,104,105,105,102,99,99,100,99,100,103,106,105,102,100,98,95,93,95,100,104,105,103,100,98,99,101,102,102,100,98,95,93,94,96,98,98,99,99,100,102,101,100,101,103,104,103,102,100,101,100,98,96,96,97,99,102,103,101,99,99,99,101,103,102,100,101,102,102,99,98,99,99,96,95,95,94,93,93,94,95,94,95,95,95,95,95,98,101,102,101,100,100,101,102,101,99,100,103,104,103,102,101,100,99,98,96,94,95,96,96,96,96,96,97,97,96,97,99,100,99,98,100,104,107,106,104,104,106,107,108,108,109,109,108,106,105,106,107,106,106,107,107,107,107,107,107,107,106,106,105,105,106,107,108,110,108,105,103,101,100,99,97,97,98,100,98,96,96,97,97,97,96,95,96,96,97,97,97,97,97,97,97,96,97,97,97,97,99,100,101,102,103,103,102,101,101,101,100,100,103,105,103,99,97,97,97,95,97,99,100,101,104,105,105,107,108,107,106,105,105,105,104,105,106,106,107,106,104,103,104,104,104,105,104,103,102,102,103,104,104,104,104,105,106,105,104,103,104,105,105,104,105,107,108,108,109,109,110,109,109,110,109,109,111,112,109,107,106,106,106,107,108,109,111,110,110,111,111,110,109,108,107,107,109,111,112,113,114,114,113,112,110,109,108,107,107,null],[101,100,98,102,105,103,100,98,96,97,101,102,102,101,101,100,97,96,97,96,94,92,90,90,91,91,89,88,88,87,87,88,87,88,88,87,87,90,87,87,90,94,97,99,100,101,105,107,104,100,101,101,98,97,96,95,92,90,92,94,91,88,90,94,96,95,93,93,94,98,101,101,100,99,99,99,100,100,101,102,101,99,97,99,101,103,102,100,100,102,107,110,108,106,105,106,106,105,103,99,99,104,106,103,98,97,98,96,91,88,87,88,90,95,98,96,94,94,95,95,94,93,92,89,90,95,100,101,99,96,94,91,92,94,97,98,93,88,86,87,93,100,101,98,96,97,98,98,99,102,103,103,102,102,102,103,104,105,105,105,104,105,107,106,102,96,94,97,101,101,98,96,96,95,92,90,91,92,90,90,94,98,99,96,96,98,99,101,103,103,102,100,99,99,99,98,99,100,102,103,104,104,105,106,107,105,103,103,104,105,105,104,103,102,102,102,104,106,104,100,99,99,97,99,103,106,105,102,99,98,97,95,95,99,103,102,101,101,101,102,101,99,98,98,97,96,95,96,99,101,100,98,97,97,98,98,98,101,105,106,104,101,101,102,102,99,96,96,97,100,103,103,101,100,99,96,98,102,102,100,101,103,102,99,97,98,98,97,95,94,94,94,94,94,95,95,94,94,94,94,94,98,101,103,102,100,100,101,103,102,101,102,103,103,102,101,101,100,100,99,96,94,95,96,96,95,95,96,98,99,99,98,99,100,100,98,99,101,102,104,105,105,104,106,108,108,108,108,109,108,107,107,107,107,107,107,106,105,105,106,106,106,106,105,105,105,105,105,107,109,108,105,102,100,100,99,98,98,99,100,99,97,96,96,97,96,96,96,96,96,97,97,97,97,97,97,97,97,98,98,97,98,99,100,100,100,101,102,101,101,101,100,100,99,99,101,100,99,98,97,96,96,97,99,100,102,105,106,106,107,107,106,105,105,105,105,105,106,106,106,106,105,103,104,106,105,104,105,105,104,103,102,102,103,104,104,105,106,107,105,103,103,104,106,106,105,105,106,107,107,107,108,109,109,109,110,110,110,111,112,112,110,108,106,105,106,108,109,109,109,110,112,112,111,111,110,109,108,108,109,111,113,115,115,113,112,111,110,108,107,107,null],[98,96,95,99,102,103,102,100,96,97,100,102,101,98,97,97,97,97,96,95,92,90,90,91,93,92,89,88,88,87,87,87,87,88,88,87,86,87,87,90,96,99,98,98,100,100,102,104,104,103,102,102,102,98,95,96,94,92,92,93,93,90,89,91,94,95,95,94,94,95,97,98,99,100,103,104,105,104,104,106,106,103,101,101,105,107,106,106,107,107,109,110,109,106,103,103,104,105,103,101,99,100,104,105,102,98,97,96,92,88,87,88,88,91,94,97,95,93,92,93,93,94,92,90,90,93,98,101,101,100,97,92,91,92,95,99,95,90,87,86,90,97,99,98,98,99,101,102,103,104,105,103,102,103,105,104,103,105,107,107,106,106,107,105,100,96,96,99,101,99,97,97,97,95,91,89,91,92,90,91,95,98,98,94,94,98,102,104,103,101,98,95,96,98,99,99,102,104,104,104,105,105,105,106,104,102,101,100,101,102,104,104,104,104,103,100,100,104,106,104,100,96,96,99,103,104,104,102,100,99,98,97,96,99,101,101,100,101,102,101,99,98,98,98,97,97,97,98,100,101,100,98,97,98,100,101,102,102,104,106,104,100,100,102,102,100,98,97,98,100,102,103,101,99,97,94,95,101,102,101,102,102,101,99,98,98,98,97,95,94,94,95,95,94,94,95,94,94,93,93,95,99,102,104,103,102,102,103,102,101,101,102,102,101,100,100,100,100,99,98,96,94,94,95,95,94,94,96,98,100,101,99,98,99,100,100,101,101,101,103,105,106,106,106,107,107,106,107,109,110,108,106,105,107,108,107,106,105,105,105,105,105,105,104,105,104,103,104,106,107,108,106,102,100,101,100,98,98,98,99,98,97,97,98,98,96,95,97,96,95,95,96,98,98,97,97,97,98,98,97,98,99,100,100,100,100,100,100,100,101,101,101,100,99,97,97,98,100,100,97,95,96,97,98,101,103,105,107,107,106,105,104,104,105,106,105,105,106,106,106,105,104,103,105,107,106,105,105,105,104,104,104,102,102,103,103,105,106,106,105,104,104,105,106,106,106,107,107,107,107,107,107,109,110,110,110,111,111,111,112,112,110,109,107,106,106,107,108,109,109,111,113,112,111,110,110,110,110,110,110,110,113,115,114,112,112,112,110,108,107,107,null],[97,95,94,96,99,100,101,101,99,98,100,101,100,98,97,96,97,97,96,94,92,89,91,94,94,93,90,89,88,87,87,88,87,88,88,87,86,85,88,93,100,102,101,100,102,103,102,102,104,104,103,103,104,101,96,94,94,93,91,91,93,93,91,90,92,94,96,96,96,95,95,96,97,99,102,103,104,103,104,106,107,105,104,105,107,108,107,108,109,107,106,106,105,103,101,102,105,104,104,105,103,100,101,105,107,102,97,96,93,89,87,86,85,86,91,95,97,95,91,90,92,93,93,91,89,91,96,101,103,101,97,93,91,91,93,98,97,92,87,84,87,93,98,99,101,102,103,103,104,104,105,105,104,106,108,106,103,105,108,109,108,107,107,104,100,97,98,100,100,97,96,97,97,94,90,89,91,93,91,92,96,98,97,95,96,100,102,102,99,95,92,91,95,101,103,102,103,104,104,105,106,105,105,104,102,100,99,98,99,101,103,105,106,107,104,99,97,100,105,105,100,96,96,99,102,104,103,102,100,99,98,97,96,97,99,102,102,102,102,101,100,98,98,99,100,101,101,101,101,101,101,100,99,101,104,106,105,104,103,103,102,100,101,103,103,101,99,98,99,101,103,102,101,99,96,93,94,100,103,103,101,100,99,99,99,98,97,97,96,94,94,95,95,94,94,94,94,93,93,94,96,100,104,105,106,106,105,103,102,99,100,101,102,101,99,98,98,98,98,97,96,94,94,95,95,94,95,96,98,100,101,100,98,98,100,101,102,102,103,104,105,106,108,106,106,107,107,108,109,110,108,106,105,107,108,107,105,105,106,105,105,105,104,104,104,103,102,103,105,106,108,107,104,101,101,101,99,99,98,98,97,97,98,99,98,96,96,97,96,95,94,96,98,98,97,97,98,98,97,97,98,99,99,99,100,101,101,100,100,100,101,100,99,99,97,96,99,101,100,97,95,96,97,98,100,103,104,107,108,106,104,103,104,105,106,106,105,106,107,106,106,105,104,105,107,107,106,105,104,104,105,105,104,102,102,103,105,106,105,105,104,105,105,105,105,106,107,108,107,107,107,108,108,110,110,111,112,112,111,112,112,110,109,108,107,105,106,108,110,111,112,113,112,110,109,109,111,112,112,111,110,112,113,113,111,111,112,111,109,107,107,null],[100,97,95,96,97,97,98,100,100,101,101,99,98,101,99,96,97,98,95,94,93,91,93,95,94,93,89,89,88,87,87,88,88,88,88,87,87,87,89,95,100,103,104,104,106,106,105,104,104,104,103,103,105,102,97,95,93,92,89,89,92,95,94,92,90,92,94,95,96,98,99,100,100,98,95,93,94,96,98,100,101,101,103,105,105,104,104,106,106,102,99,97,98,99,100,104,107,106,105,108,108,103,100,103,108,106,100,96,95,93,89,85,84,85,88,93,96,96,93,89,89,91,93,92,89,89,94,101,102,99,96,93,91,90,91,96,98,95,88,85,87,92,97,101,102,102,102,102,103,106,107,106,106,107,108,106,104,104,106,107,107,107,107,104,99,96,98,100,99,96,97,97,94,91,89,88,90,93,94,94,96,97,97,98,100,101,99,95,92,89,88,91,99,107,107,105,104,104,105,105,106,105,103,102,101,100,98,98,99,101,103,104,107,107,104,99,97,99,103,105,103,99,96,98,102,105,103,101,100,100,100,97,95,94,97,101,103,104,104,103,102,99,98,100,103,105,104,102,101,103,104,103,102,103,106,106,105,104,103,101,101,102,103,104,104,101,98,98,100,103,105,104,101,99,97,93,94,100,104,104,101,99,98,100,100,98,97,97,96,94,93,94,95,95,94,93,93,93,94,95,97,101,105,107,107,107,106,104,101,99,100,101,103,103,101,97,96,96,97,96,95,94,95,96,96,95,96,99,99,98,100,99,98,98,99,100,100,101,105,108,108,108,108,107,107,108,109,110,109,108,108,108,107,107,107,107,106,106,107,107,106,104,103,103,103,103,102,102,104,106,107,107,105,102,101,101,101,100,100,100,98,97,98,98,98,98,98,97,96,96,96,96,97,97,97,99,99,98,97,97,97,97,97,98,99,101,101,100,100,101,101,100,99,98,97,97,100,101,99,97,95,96,98,99,100,102,104,108,109,107,105,104,104,105,107,107,106,107,107,107,106,106,105,105,105,106,106,104,104,105,105,105,104,104,104,104,104,105,105,105,105,105,104,104,104,106,107,107,106,107,108,108,108,110,111,112,114,113,111,111,112,110,110,109,106,103,105,108,111,111,111,112,112,111,111,111,112,113,112,111,109,110,112,114,113,112,111,110,110,109,108,null],[101,98,96,98,100,99,98,98,100,102,102,100,98,99,97,95,97,98,96,94,94,93,93,94,94,93,88,88,88,87,87,88,88,88,87,88,88,86,90,95,99,100,101,102,103,103,103,104,105,105,103,103,105,104,100,97,94,91,89,89,92,96,98,96,92,90,90,92,96,98,100,101,100,98,94,92,91,92,93,94,95,96,98,99,97,95,96,97,99,96,95,97,99,102,103,104,106,105,105,108,109,105,101,101,105,107,104,99,97,96,91,87,86,85,87,89,93,96,96,93,90,90,93,93,90,88,92,98,100,98,96,95,93,90,90,94,97,96,91,87,88,91,97,101,103,102,101,100,102,106,108,107,106,106,105,104,105,106,107,107,108,108,106,101,97,95,97,98,97,95,96,95,92,89,88,88,90,93,96,97,97,97,97,98,97,95,92,90,89,88,91,96,103,108,107,105,104,104,104,105,105,105,103,101,100,98,97,98,99,99,99,102,106,105,101,98,97,98,101,104,106,102,97,97,101,104,103,102,100,100,101,99,96,93,94,99,104,105,104,102,100,99,100,102,104,104,102,100,99,101,103,103,102,101,102,102,102,101,100,100,101,103,105,105,103,100,98,98,100,103,106,104,101,100,98,93,93,99,104,104,102,100,99,101,100,98,96,95,95,94,94,94,95,95,95,94,94,94,95,96,99,103,105,106,106,106,105,103,101,101,100,101,103,103,100,97,95,95,96,96,95,94,95,96,96,96,97,99,100,100,100,99,97,97,98,98,99,101,106,110,110,108,108,107,107,108,110,110,109,107,107,109,109,107,107,107,107,107,107,106,105,104,103,104,104,104,102,101,102,104,105,105,104,102,101,101,101,100,100,100,99,97,97,98,98,98,98,97,96,96,97,97,96,96,97,98,98,97,97,97,97,97,97,97,98,100,101,100,100,101,102,102,100,98,97,97,100,101,100,99,98,98,98,100,101,103,106,108,108,106,105,104,105,106,107,107,107,106,106,106,107,106,106,105,104,105,105,105,104,105,106,105,104,104,105,105,104,104,105,106,105,104,104,104,105,106,107,106,106,106,108,108,108,109,111,112,113,112,112,112,112,110,111,110,107,105,106,109,111,110,110,111,111,111,112,112,112,113,112,111,110,110,112,114,114,113,111,110,110,109,108,null],[98,97,97,101,103,102,99,97,98,99,100,100,98,96,94,94,97,98,96,95,94,93,93,93,94,94,87,87,87,88,88,87,87,87,87,88,86,87,92,95,96,95,94,94,97,96,96,100,103,105,104,104,106,106,103,101,98,93,92,92,93,96,99,99,98,93,90,91,94,96,97,97,98,99,99,98,97,95,93,93,95,95,96,98,95,92,92,94,97,98,100,103,106,108,105,103,103,103,104,106,108,107,103,100,102,105,105,103,100,97,95,91,88,87,87,88,90,94,96,96,93,91,93,94,92,89,91,96,99,100,98,96,93,91,90,91,96,97,95,90,87,89,94,100,103,103,102,102,103,105,105,105,104,102,101,102,104,107,109,109,109,107,103,98,95,94,96,96,96,95,96,95,91,89,88,88,91,94,98,99,98,95,93,92,90,88,89,91,92,94,98,103,106,106,104,103,102,102,102,103,104,104,103,100,98,97,97,98,97,96,98,101,105,104,100,98,97,97,99,103,106,103,97,96,99,102,104,104,101,100,101,102,99,94,93,97,102,104,102,98,98,100,103,103,101,99,97,96,96,98,99,99,98,98,97,97,99,99,99,100,102,104,106,105,103,100,98,98,100,102,104,104,102,101,98,93,93,99,103,103,102,101,102,102,100,97,94,93,94,95,95,95,95,95,95,95,95,95,96,98,101,104,104,104,105,104,102,101,102,102,101,100,101,101,98,96,96,95,95,96,95,94,95,95,95,96,97,99,100,102,100,99,97,97,98,99,101,103,107,110,109,108,108,107,107,108,109,109,109,107,106,107,108,107,107,107,107,107,106,105,104,103,104,105,105,104,102,100,100,101,102,103,103,103,101,101,101,100,100,100,99,98,97,97,98,98,98,97,96,96,97,96,95,96,97,97,96,95,96,97,97,98,98,97,97,99,99,100,101,102,103,104,102,99,96,96,99,101,101,101,100,99,99,100,102,104,107,108,106,104,103,104,105,106,107,107,107,105,105,106,107,107,108,106,103,104,105,105,105,105,106,105,103,103,104,105,105,104,105,106,105,105,105,106,107,107,107,106,106,106,107,107,108,109,110,111,111,111,112,112,112,110,111,112,110,108,108,109,110,109,109,111,112,112,112,111,111,112,112,111,110,110,111,113,114,114,113,112,111,110,109,null],[96,98,100,101,100,100,97,95,95,95,94,97,97,96,95,96,99,99,96,94,93,93,93,93,89,88,87,87,87,88,88,87,87,87,87,89,87,93,97,96,92,89,88,89,89,89,89,92,96,101,103,104,105,106,106,104,101,99,96,95,96,96,97,100,101,99,95,91,91,92,93,95,97,99,100,100,100,99,96,97,98,99,101,104,102,101,101,103,106,107,108,109,109,106,102,101,102,104,105,107,109,110,106,101,100,100,103,105,103,99,96,94,91,88,87,87,89,92,95,96,95,92,91,93,93,92,91,94,100,102,99,95,93,91,89,89,93,96,97,92,87,87,92,98,103,105,104,103,103,103,104,104,102,101,100,101,103,105,108,110,108,103,98,96,95,95,96,97,96,96,97,96,91,89,88,88,92,98,101,99,95,91,88,87,87,90,95,98,98,100,103,105,106,105,104,102,100,99,100,101,103,103,102,99,97,96,97,97,97,97,99,103,106,105,102,98,97,96,99,102,105,103,99,96,98,102,104,103,101,100,100,102,102,97,93,94,100,103,100,98,101,104,104,101,97,94,93,93,95,97,97,97,96,96,96,97,98,100,102,103,104,105,106,105,102,99,99,98,99,101,103,103,101,100,98,93,94,101,104,103,101,103,104,103,100,96,94,94,95,95,94,95,96,95,94,95,95,95,96,98,102,104,104,104,105,104,103,102,102,101,101,101,100,99,97,96,95,94,93,94,95,95,95,94,95,97,99,98,100,100,98,97,98,99,100,102,104,105,107,107,107,107,108,108,108,108,107,108,110,109,107,106,106,105,106,106,106,105,105,106,105,104,104,105,104,103,102,101,100,100,101,103,105,106,104,102,101,101,102,101,100,98,98,98,99,99,98,97,97,97,96,95,94,95,96,96,95,95,96,97,96,96,96,96,97,97,98,99,100,103,104,104,102,98,96,95,97,99,99,98,99,100,101,101,103,105,106,106,105,103,102,103,105,107,107,107,107,106,106,107,108,108,108,107,105,105,106,105,105,105,105,105,104,103,103,104,105,105,104,105,106,106,106,106,106,106,106,106,106,106,106,106,106,107,109,110,111,111,111,112,112,112,112,112,112,110,108,107,108,108,110,112,112,112,112,112,111,112,112,112,110,109,110,112,113,114,113,113,112,110,109,null],[95,98,98,97,96,95,93,92,93,92,90,92,95,98,99,99,98,96,95,94,93,92,91,92,88,87,87,87,87,88,88,87,87,86,87,89,89,96,100,97,93,90,89,89,88,89,87,87,89,93,97,99,100,102,104,104,105,104,102,100,99,97,94,95,99,102,100,95,92,91,90,91,93,96,98,99,100,100,99,99,100,100,104,108,107,107,108,111,113,113,111,108,105,101,100,101,103,105,105,107,109,110,109,106,102,99,100,105,106,102,98,94,91,89,87,87,89,91,94,96,96,94,91,93,95,94,91,93,101,104,100,95,91,89,89,88,90,94,96,92,88,87,90,96,101,104,104,103,103,102,102,102,102,101,100,101,103,106,107,106,103,99,96,95,94,95,97,98,97,96,97,95,90,88,88,88,94,101,101,97,92,89,87,87,91,97,101,103,101,102,104,105,106,105,104,101,98,98,99,100,100,100,99,96,96,97,98,98,98,100,102,105,106,106,103,99,97,98,101,104,105,104,102,98,98,102,104,103,102,100,99,100,102,101,97,95,98,102,102,102,104,104,102,98,94,93,92,93,95,96,96,95,96,97,100,100,99,101,104,105,105,106,106,104,101,99,98,98,99,101,102,102,101,100,97,93,96,103,106,103,101,102,104,102,99,96,94,95,95,94,94,95,96,95,94,94,94,95,96,98,101,103,104,104,104,103,102,101,100,100,100,101,100,97,95,95,94,93,93,93,94,95,95,95,96,98,100,98,98,97,96,97,100,101,102,103,105,106,106,105,105,106,108,110,109,108,107,107,109,110,108,106,104,106,107,107,106,105,106,107,106,105,105,105,104,103,102,102,101,100,102,105,107,107,105,104,103,102,103,103,101,99,98,99,99,98,97,97,97,97,96,94,94,95,96,96,96,95,96,96,96,96,96,96,96,97,98,99,100,102,103,102,101,99,96,95,96,97,98,98,98,101,101,101,104,106,105,105,104,102,102,103,105,106,106,107,107,106,106,107,107,108,108,108,107,106,106,105,105,105,105,105,105,104,103,104,105,106,105,104,106,107,106,106,106,106,106,106,106,106,106,106,106,106,108,110,111,111,111,111,111,112,112,112,114,112,108,106,107,108,110,111,112,112,112,111,111,111,112,111,109,109,109,110,111,112,112,113,113,111,110,null],[97,96,93,92,92,91,90,89,92,93,91,90,93,98,101,100,95,93,95,96,94,91,90,88,88,87,87,87,87,88,88,87,87,86,87,89,91,95,99,99,96,95,93,93,93,93,92,89,88,89,89,90,91,94,98,102,104,106,105,104,103,99,95,92,94,97,100,101,99,95,90,87,88,92,95,96,97,96,96,96,97,98,100,103,102,103,106,110,111,109,105,101,99,99,101,104,105,105,105,107,107,109,111,110,106,102,101,102,104,103,100,95,92,90,88,86,88,91,94,96,96,95,95,95,96,94,91,92,100,104,101,95,91,88,88,89,89,91,94,93,90,88,88,93,99,101,102,102,103,103,101,100,101,101,100,102,106,108,105,101,98,97,96,94,94,96,99,98,97,96,96,93,88,87,87,90,95,100,98,94,90,88,90,93,98,102,104,103,102,101,103,105,107,107,103,98,97,98,99,98,97,96,95,95,95,98,100,100,100,102,103,105,105,105,102,99,97,100,104,107,107,105,104,101,100,101,103,104,103,101,98,97,99,102,101,97,98,102,105,105,103,101,99,96,94,93,93,93,95,95,95,95,98,101,104,103,102,101,102,104,105,105,105,103,99,98,97,98,100,103,103,103,103,101,96,93,97,104,107,104,102,101,101,101,99,97,95,95,94,94,94,94,94,95,95,94,94,95,96,98,101,104,105,104,103,101,98,97,97,98,99,101,100,97,95,93,93,94,94,93,93,93,95,96,97,98,100,99,96,95,96,99,101,102,102,102,103,104,105,105,106,107,109,110,110,109,107,106,108,109,109,106,105,107,108,108,107,107,107,107,107,105,105,105,104,104,104,103,103,103,104,107,108,107,105,104,104,103,103,103,101,100,99,99,99,98,97,97,97,96,96,96,95,95,96,96,96,96,96,96,96,97,98,97,97,99,100,101,100,100,101,101,101,99,97,96,95,97,100,100,100,101,100,100,104,107,106,105,104,102,102,104,105,105,105,105,106,106,106,106,106,106,108,109,108,106,105,105,104,104,105,106,106,105,105,105,105,106,105,105,106,106,106,106,106,106,106,106,105,106,107,108,108,107,108,110,111,111,112,111,110,110,111,113,114,113,109,107,106,107,109,109,110,111,111,111,111,111,111,109,109,109,110,109,108,110,111,112,112,111,112,null],[95,94,92,91,92,92,91,91,93,94,93,92,93,96,97,96,92,91,93,93,92,90,90,88,88,88,88,88,88,88,88,87,87,87,88,90,92,94,95,95,93,92,91,91,93,96,98,98,95,92,89,86,87,89,92,95,99,104,105,105,105,103,102,98,95,94,96,101,104,100,94,91,92,94,94,92,92,91,92,92,92,92,93,95,97,100,102,104,103,101,98,97,98,101,105,107,107,106,106,108,109,109,111,111,109,105,101,99,100,102,102,99,94,92,90,86,86,90,94,96,95,95,96,98,97,94,90,91,97,101,100,98,93,90,89,88,87,88,92,94,92,88,87,91,97,100,102,103,105,104,101,99,101,103,104,106,108,105,100,97,97,98,96,94,94,98,99,97,96,96,93,90,88,87,89,91,96,97,95,91,90,93,97,99,101,104,105,104,102,102,103,106,107,106,102,99,98,97,96,95,94,95,96,97,98,100,101,101,100,99,101,103,104,103,101,98,98,101,105,107,107,106,104,104,102,100,100,102,103,102,100,96,96,101,103,100,98,99,102,101,98,96,95,94,93,93,94,94,95,95,96,97,100,103,105,105,103,102,103,104,105,106,105,103,98,96,97,98,101,104,104,104,104,101,95,94,98,104,106,104,102,101,100,99,97,96,95,95,94,94,94,94,95,95,95,94,95,97,100,102,103,105,105,104,103,101,98,96,96,96,98,100,99,97,95,94,93,94,94,93,92,92,94,95,96,98,100,98,95,95,97,99,101,102,102,102,103,104,105,106,106,107,109,109,110,109,108,107,107,108,108,107,106,108,108,107,107,106,106,106,106,106,105,105,105,105,105,105,105,106,107,108,107,106,104,103,103,103,103,103,102,100,100,100,99,98,97,97,96,96,97,97,96,95,95,96,96,96,96,97,98,99,101,100,101,102,103,102,100,99,100,101,101,99,98,97,97,98,101,102,102,102,101,101,104,107,107,105,103,102,103,105,106,106,105,106,107,106,106,106,106,106,107,107,107,105,104,104,104,105,106,107,107,106,106,106,105,105,105,105,105,105,106,107,107,107,106,106,105,105,107,108,108,107,109,110,110,111,111,111,111,110,110,112,113,113,111,108,107,107,108,108,109,110,111,112,112,112,111,110,110,110,111,110,108,109,110,111,111,111,113,null],[93,92,93,93,94,94,94,94,95,95,94,93,93,93,93,91,90,91,90,90,90,90,91,88,88,88,88,88,88,88,87,87,87,87,88,89,93,95,94,92,90,89,90,91,92,96,101,103,104,101,96,92,89,89,89,91,93,97,101,102,103,105,107,106,101,95,94,97,102,101,98,98,100,101,98,94,91,89,90,90,90,92,93,94,96,98,98,98,97,96,96,99,102,105,109,110,109,108,108,108,110,110,109,109,109,107,104,99,98,99,103,103,98,95,92,88,85,87,91,94,94,94,95,97,96,92,88,90,94,97,98,98,96,92,90,88,87,88,93,96,93,89,86,89,95,101,104,106,106,104,102,102,103,105,106,107,105,99,96,97,99,99,95,94,96,99,98,95,95,96,91,88,88,88,89,93,96,95,93,92,92,97,101,101,101,103,104,105,103,102,104,105,105,102,100,99,98,96,94,94,95,97,99,101,102,103,102,102,100,98,99,102,104,103,100,97,98,101,104,106,106,105,104,105,104,100,98,99,102,103,101,97,96,99,103,103,100,98,98,97,94,93,93,93,93,94,94,95,94,95,96,98,102,104,105,104,103,103,103,104,104,105,105,103,98,95,96,99,102,104,103,104,105,101,96,95,99,103,103,101,102,102,100,97,96,95,95,95,94,94,94,95,95,95,96,96,98,100,103,104,105,104,104,104,103,100,98,96,96,96,97,98,97,96,95,94,93,94,94,93,92,92,93,95,96,99,99,96,94,95,97,100,100,101,102,103,104,105,106,106,106,106,108,109,109,109,109,109,107,106,107,107,107,107,106,106,106,106,105,105,105,106,106,105,105,105,106,107,108,108,108,107,106,103,101,100,102,103,103,103,102,101,100,100,99,99,98,97,96,96,97,97,96,95,95,95,95,95,96,98,100,100,100,102,103,104,104,102,99,99,100,101,101,99,98,97,97,99,101,102,103,102,102,103,106,108,108,105,103,102,103,105,107,107,105,105,107,107,106,106,106,106,106,105,104,105,105,104,104,105,106,106,106,105,106,106,105,104,105,105,104,105,106,107,107,107,107,106,105,106,107,108,108,108,109,110,110,110,111,112,112,111,109,110,111,112,113,110,108,108,108,108,109,111,112,112,112,112,112,112,111,111,112,112,110,110,111,111,111,111,113,null],[91,92,93,94,94,94,94,95,95,94,94,92,91,91,90,90,88,88,89,89,87,87,88,87,87,87,87,87,87,88,88,88,88,88,89,90,93,97,98,96,95,94,95,95,96,96,99,103,105,106,105,102,98,93,90,90,90,91,95,100,101,103,107,109,107,101,96,94,94,95,96,100,104,106,106,103,98,95,92,92,94,98,100,100,99,98,97,97,98,98,100,103,107,110,111,110,109,109,108,107,108,108,107,107,108,109,106,102,98,98,102,105,103,99,96,92,88,86,88,92,94,94,93,93,92,90,88,89,94,95,95,96,96,93,90,88,88,89,89,92,93,90,88,89,95,102,106,108,106,105,105,106,106,105,104,102,99,95,97,100,98,95,95,97,99,99,97,96,95,94,91,88,88,87,90,95,97,94,93,93,95,98,101,101,101,102,103,102,101,102,103,103,100,97,96,95,95,95,95,96,99,101,103,105,105,106,105,102,100,99,101,103,104,103,100,96,97,100,104,106,106,105,104,106,107,104,101,99,100,101,101,100,99,98,100,104,103,100,98,96,94,94,94,93,93,93,95,96,95,94,95,100,103,104,104,103,103,104,105,105,103,102,103,101,97,95,97,99,101,103,103,103,105,102,97,98,101,102,100,98,100,101,100,97,95,94,94,94,94,94,93,94,95,96,98,100,102,103,103,104,104,103,103,103,101,99,97,97,97,96,96,96,96,96,95,94,94,94,94,94,93,94,95,97,98,100,99,96,95,95,97,99,101,101,102,103,104,104,106,106,105,105,106,108,109,108,109,109,107,106,106,107,107,106,106,106,105,105,106,105,105,105,106,106,105,105,107,107,108,109,109,107,104,100,97,97,101,103,104,104,103,102,101,99,99,99,100,99,98,96,96,96,97,96,95,94,94,95,97,97,97,97,97,98,99,100,100,100,98,98,99,101,101,100,98,97,97,98,99,100,101,100,102,106,108,109,109,107,105,104,103,103,104,105,105,105,105,106,106,105,106,106,106,105,104,105,106,106,105,104,104,104,103,104,105,105,105,105,105,106,106,106,106,106,106,107,107,106,105,106,107,108,108,109,109,109,109,110,111,112,112,110,109,110,110,111,112,111,109,109,110,110,111,112,112,112,111,112,113,113,112,112,112,113,113,112,112,113,112,111,111,null],[91,92,94,96,97,95,95,95,93,92,91,91,90,89,90,90,88,87,89,90,87,87,87,87,87,88,88,87,87,88,88,88,88,89,91,93,96,97,98,98,98,99,100,100,101,99,98,101,102,103,103,103,100,97,95,94,93,91,93,96,97,98,102,107,109,106,102,98,93,93,95,98,101,103,106,107,106,102,99,97,98,101,102,101,98,99,101,103,104,103,105,108,111,111,109,108,108,109,107,104,104,106,107,107,107,107,106,104,100,98,100,105,106,104,101,97,93,88,87,89,93,93,92,90,89,89,88,89,94,96,96,95,95,94,91,88,88,88,88,92,96,92,87,87,93,102,107,108,105,104,105,106,104,101,98,98,97,96,98,99,96,94,96,99,100,98,97,97,96,94,91,89,88,88,92,97,98,95,93,94,96,98,101,103,104,103,102,101,101,102,103,101,99,97,95,95,97,98,100,102,104,105,105,105,105,106,105,104,103,103,103,104,105,104,100,98,99,102,105,106,105,104,105,106,107,107,105,102,100,99,100,100,99,97,97,101,104,103,101,99,96,94,94,93,93,95,97,98,97,95,97,102,104,104,103,103,103,105,105,104,102,101,101,99,96,96,97,99,102,103,103,103,105,104,101,102,103,102,100,99,100,100,99,97,96,96,95,94,93,93,93,93,94,97,101,103,104,104,103,104,104,102,102,102,101,99,97,97,97,97,96,95,96,96,95,94,94,94,95,95,94,95,98,100,100,99,98,97,96,95,96,98,101,102,103,105,105,104,105,106,105,106,107,108,109,108,108,109,108,107,106,106,106,106,106,106,105,105,106,106,105,105,106,106,106,106,107,108,109,109,108,106,102,98,95,96,99,101,103,103,102,101,100,99,99,100,101,100,99,98,97,96,97,97,97,95,94,95,96,96,95,94,95,95,96,96,97,98,98,98,99,100,101,100,98,97,98,99,99,99,99,99,102,106,108,108,110,109,108,106,104,102,102,104,106,106,105,105,105,104,105,106,106,106,104,105,106,107,105,104,104,104,104,104,104,105,105,105,106,106,106,106,106,106,107,107,107,106,105,106,107,107,108,108,109,109,108,109,110,112,111,111,111,111,110,110,111,110,109,110,111,112,112,112,112,111,111,112,113,113,112,112,113,114,115,115,114,113,113,113,113,null],[93,94,95,97,98,95,94,94,92,90,90,89,89,89,89,87,88,88,88,88,88,88,88,88,88,87,87,88,88,87,87,88,88,90,93,96,97,96,95,95,96,98,98,100,103,102,101,102,101,98,97,97,96,97,99,99,99,97,96,95,94,95,98,101,104,106,107,105,100,97,98,98,96,97,102,107,109,108,105,100,98,99,99,97,98,102,107,109,108,107,108,110,112,109,104,104,106,107,106,104,104,106,108,108,107,104,103,106,103,100,102,105,108,107,104,102,98,93,89,89,91,93,92,89,88,90,89,89,94,99,99,96,94,96,93,87,86,87,88,92,97,93,87,86,91,101,107,107,103,101,101,101,99,97,96,97,99,98,97,96,95,96,98,100,100,99,98,98,97,94,91,89,88,90,94,97,98,96,94,93,95,100,105,107,105,102,100,101,102,103,102,101,100,100,100,100,102,104,105,106,107,107,105,103,103,103,104,104,105,104,103,104,105,104,101,101,103,105,104,103,103,104,105,106,106,107,107,106,102,98,98,98,98,96,95,97,101,104,103,100,98,95,94,95,97,99,100,99,98,99,101,103,104,104,103,103,103,104,104,103,102,103,101,98,96,96,97,99,102,104,104,104,105,105,105,106,104,101,101,102,102,101,99,98,98,98,96,94,93,94,94,95,97,101,103,104,104,104,104,105,104,102,101,101,100,99,97,96,96,96,96,95,95,95,94,94,94,95,95,95,95,96,99,101,100,97,96,97,98,97,96,98,101,104,106,107,106,104,104,105,106,107,108,109,109,108,108,109,109,108,106,105,104,106,106,106,105,105,105,106,106,106,106,106,107,107,107,108,109,109,107,104,100,98,98,98,98,100,102,102,101,100,99,99,99,100,100,100,100,100,98,96,96,97,98,97,95,95,95,95,94,95,96,97,98,96,96,97,98,99,100,101,101,100,99,98,100,101,100,99,98,98,102,105,106,107,110,111,111,109,105,102,102,104,107,109,107,104,103,104,105,106,106,106,105,105,105,106,105,104,104,104,105,104,104,106,106,106,106,106,105,105,106,107,107,107,106,106,106,106,106,107,107,107,108,109,108,108,110,111,111,111,112,112,111,110,111,110,108,109,111,112,112,112,111,111,111,112,113,112,112,112,113,114,115,115,115,113,114,116,116,null],[96,97,96,97,95,92,92,92,89,87,87,88,88,88,88,88,88,88,89,89,89,89,89,87,88,87,87,88,88,87,86,87,89,93,94,94,95,97,97,95,94,94,93,94,95,98,102,105,104,100,98,97,94,95,97,99,101,102,100,97,96,96,97,96,97,101,106,108,106,105,104,100,98,99,103,106,109,107,103,98,96,98,100,103,104,106,107,107,107,107,108,110,108,104,102,103,105,106,106,108,108,108,108,109,107,103,103,108,108,105,104,105,107,106,103,102,100,97,93,90,90,92,92,88,88,89,89,89,91,97,101,96,94,97,95,89,87,86,87,89,92,93,87,85,89,96,103,104,100,98,97,97,97,96,96,96,97,96,97,98,98,98,98,99,100,100,99,99,97,93,89,88,89,93,97,97,97,96,93,93,97,103,107,107,103,100,99,100,101,101,101,100,102,104,104,105,106,105,105,105,105,104,103,103,102,100,100,103,103,101,101,103,103,103,102,103,104,103,101,100,101,103,104,104,104,104,105,107,104,99,95,95,97,97,96,96,100,102,101,100,99,99,100,101,102,102,102,99,98,99,103,105,106,105,103,103,104,103,102,102,103,103,99,96,94,95,96,98,101,103,103,103,104,106,106,105,102,100,101,103,103,101,100,100,99,98,96,94,94,95,97,99,101,104,104,103,102,102,103,104,104,103,101,100,99,97,97,96,95,94,95,95,95,94,93,93,94,95,95,95,95,96,99,101,100,96,94,95,97,99,97,98,102,106,108,108,106,105,105,106,106,106,107,107,108,109,109,109,110,109,107,103,102,105,107,108,107,105,105,105,106,106,106,107,107,106,105,105,107,107,105,103,102,101,102,101,100,101,102,102,100,99,99,99,99,98,98,99,100,100,98,96,95,96,97,97,96,95,95,94,93,94,96,99,99,96,97,98,98,100,102,104,104,103,101,101,103,103,100,99,98,98,100,104,107,108,110,111,111,109,106,102,101,102,106,108,107,103,102,104,106,107,105,104,105,105,106,105,105,104,103,103,104,104,104,105,107,107,106,105,105,106,108,108,107,105,105,106,107,106,106,106,107,107,108,109,109,109,110,110,110,110,111,111,111,111,111,109,107,109,111,112,112,112,111,110,111,112,113,112,113,114,114,114,115,115,115,114,115,116,116,null],[96,96,95,94,92,89,90,93,88,88,88,88,89,89,89,89,89,89,90,90,90,90,90,86,88,87,87,88,88,87,87,88,90,96,95,92,92,96,99,97,95,93,92,92,93,95,99,103,104,102,101,100,97,96,95,98,100,102,100,96,96,98,98,97,96,100,104,107,109,110,110,107,104,105,106,105,107,104,98,96,97,100,105,107,107,105,102,102,104,106,107,105,101,98,98,102,105,106,107,109,109,108,108,108,107,105,106,110,112,108,104,104,105,104,101,100,101,100,97,94,91,91,92,89,88,88,88,89,89,95,100,97,95,97,96,91,87,86,86,88,90,92,89,86,87,93,100,101,99,96,95,95,96,97,98,97,97,97,100,102,101,98,97,98,100,101,100,98,95,91,88,88,91,96,98,96,96,95,93,94,100,106,107,104,100,99,101,103,102,102,101,101,102,105,106,106,106,105,105,104,103,103,104,104,101,99,99,101,100,97,99,102,101,101,103,104,101,99,98,99,102,104,104,103,102,102,103,106,106,102,96,94,96,97,96,96,98,100,100,100,101,103,104,103,102,102,101,100,99,101,104,105,106,106,104,103,102,101,102,103,104,102,97,94,94,95,96,98,101,103,103,102,103,104,105,104,102,101,102,102,102,102,103,101,100,99,97,97,97,98,100,102,103,103,103,102,102,102,102,103,103,102,101,99,97,97,97,96,94,94,95,95,94,94,93,94,95,95,95,95,95,96,98,99,98,96,94,95,97,100,101,101,104,107,109,108,107,107,107,107,106,106,106,106,108,110,109,109,110,110,107,103,101,104,107,109,107,105,106,106,106,106,107,107,107,105,103,103,105,105,105,104,104,105,105,103,101,101,102,102,100,99,100,101,100,99,98,98,98,98,97,96,95,95,96,97,96,95,95,95,94,93,95,98,99,98,99,101,101,103,105,107,108,107,104,102,102,102,100,99,98,98,99,103,108,110,110,110,110,109,107,104,102,101,103,105,105,103,102,105,107,106,104,104,105,106,106,105,105,104,103,103,103,103,105,106,107,107,106,105,106,107,108,108,106,105,105,106,107,107,106,106,107,108,109,109,109,109,110,110,109,110,110,111,111,112,111,108,106,109,111,112,112,111,110,110,112,113,113,113,114,115,114,114,115,115,116,116,115,115,114,null],[93,92,92,91,89,87,91,90,90,90,90,90,90,90,90,90,92,92,91,91,92,92,90,89,88,87,88,88,88,87,87,89,91,97,96,93,91,92,96,100,100,97,97,99,99,96,96,98,101,101,101,102,102,100,99,100,101,99,95,93,95,99,102,102,102,103,104,106,108,111,113,112,110,107,104,103,104,101,97,98,102,106,107,105,101,98,96,98,103,104,103,99,95,94,96,101,106,108,107,107,106,106,107,107,107,108,109,111,113,110,104,101,103,103,101,100,101,102,101,99,96,93,91,91,89,87,87,88,88,93,98,97,96,97,96,92,88,86,86,87,90,94,92,88,86,91,99,100,98,98,97,95,95,97,99,100,101,103,103,101,98,97,98,99,99,100,98,96,93,89,88,89,93,97,98,96,95,94,93,95,102,106,106,102,100,101,105,106,106,104,103,102,102,103,104,103,104,105,107,106,104,104,107,106,100,98,101,101,98,96,99,103,102,102,103,102,98,95,97,101,105,105,103,101,101,102,103,105,107,105,99,96,95,96,97,97,97,98,99,101,103,103,101,99,98,98,100,102,103,104,104,103,104,105,103,100,98,100,103,105,103,99,95,94,94,95,97,100,102,103,103,102,101,102,105,106,105,103,101,100,101,103,103,102,101,101,101,100,101,101,103,103,101,100,101,103,102,102,102,102,101,101,100,99,98,97,96,96,96,96,95,94,94,95,95,95,96,96,95,94,94,95,96,96,96,96,96,97,99,101,104,107,107,107,107,108,108,108,107,107,108,107,107,108,108,108,107,108,110,110,108,104,102,104,106,106,105,106,107,107,106,107,107,107,107,106,104,104,105,106,106,105,104,104,104,102,100,100,101,101,101,100,101,102,102,101,99,98,97,96,97,97,96,96,96,96,96,95,95,95,95,95,95,96,98,100,102,105,107,107,108,110,111,110,104,100,99,100,100,99,97,98,99,103,108,110,110,110,110,109,109,107,104,102,103,103,102,102,103,105,105,104,104,105,106,106,105,105,105,105,104,103,103,104,105,106,106,105,105,105,107,107,107,107,107,107,106,105,106,107,107,106,106,108,109,109,108,108,108,108,108,110,110,111,112,112,111,109,108,109,111,112,112,111,110,111,113,114,114,113,113,114,115,115,115,116,117,117,117,117,116,null],[89,89,89,89,90,90,91,92,94,94,94,92,91,92,93,93,92,91,90,91,92,92,91,89,88,87,87,87,87,88,89,91,93,98,97,93,90,90,93,98,101,100,100,102,102,100,99,101,103,102,101,100,101,102,102,102,103,103,102,100,99,101,105,106,106,106,107,108,109,110,112,111,107,104,103,102,101,101,100,101,103,104,102,99,98,98,98,98,98,97,94,91,91,94,98,103,107,108,108,107,107,107,107,106,106,108,109,109,111,110,105,101,100,100,100,99,100,103,104,102,98,94,91,91,91,88,88,87,87,91,97,99,97,96,95,94,90,87,86,86,87,88,89,89,87,91,98,99,98,98,97,96,96,98,100,102,104,103,100,96,96,97,97,97,96,96,95,94,91,89,88,91,95,97,96,94,94,94,93,97,103,105,102,99,101,105,108,108,105,104,103,102,102,103,103,102,102,104,106,106,106,106,107,104,99,99,103,102,99,99,102,106,106,104,102,99,96,96,99,104,106,103,99,97,99,102,104,105,108,108,103,98,95,96,97,98,97,97,98,101,103,102,98,96,96,98,101,104,105,105,104,102,101,101,99,96,97,101,106,106,101,94,91,92,94,96,99,103,104,102,101,100,101,103,105,107,106,104,102,102,102,102,103,103,103,102,103,104,102,103,104,103,101,101,102,103,102,101,100,100,100,100,99,98,97,97,97,97,98,97,95,93,94,96,97,96,96,96,96,95,93,94,95,96,96,97,98,99,99,101,106,108,107,106,106,108,109,108,106,106,108,108,107,108,109,107,105,106,109,109,107,105,104,104,104,104,105,105,106,105,105,106,107,107,106,105,103,105,106,106,106,106,104,103,102,101,99,99,100,101,100,100,101,101,101,100,100,99,97,97,97,97,97,97,96,95,94,94,94,95,96,96,95,97,98,99,102,104,106,107,108,110,112,109,104,98,96,97,99,100,99,98,100,104,106,108,109,110,110,110,110,109,107,105,105,104,103,103,105,104,103,103,103,105,106,105,105,105,105,106,106,105,104,104,105,106,105,104,104,105,107,107,106,107,108,107,106,105,106,107,106,106,107,107,108,108,108,108,107,107,108,110,110,111,111,112,112,110,108,109,111,112,112,111,111,111,112,114,114,112,111,112,114,115,114,115,116,117,119,119,118,null],[94,92,89,89,91,92,93,94,95,95,95,93,92,92,93,93,93,91,89,90,92,92,90,90,89,88,87,87,87,88,90,92,95,98,96,93,90,89,91,96,98,99,100,100,102,102,104,105,106,105,102,99,99,102,104,104,105,108,110,109,106,105,105,105,106,108,110,111,111,110,107,104,102,102,103,102,99,100,101,101,100,99,97,96,98,101,102,98,93,90,88,89,94,100,104,106,107,107,108,110,110,109,107,105,104,105,107,107,108,109,108,103,99,99,100,98,98,101,103,103,99,95,93,92,92,90,88,86,85,90,97,99,97,94,94,94,92,88,87,87,86,87,89,90,87,89,96,100,100,99,98,99,99,100,101,103,104,101,96,94,97,99,97,95,93,93,93,92,90,89,89,92,95,95,93,92,92,93,94,99,104,103,99,99,102,106,107,104,100,99,101,102,102,103,103,102,102,102,103,105,105,105,103,100,98,101,104,103,101,102,104,107,107,105,101,97,97,99,103,105,103,99,95,95,99,102,104,105,108,108,104,99,96,96,97,100,100,98,97,99,101,101,99,98,100,103,104,104,105,104,103,101,100,98,95,96,99,104,106,104,98,91,90,92,95,98,102,105,104,101,100,101,103,105,106,106,105,103,103,104,103,102,103,104,103,103,104,105,105,104,103,102,102,102,103,102,99,98,98,99,99,98,98,97,96,96,97,97,96,96,94,93,94,97,98,97,96,96,96,95,94,95,96,97,97,98,98,99,100,102,105,106,106,105,104,106,107,106,105,106,108,107,107,109,110,108,105,105,106,107,108,107,106,105,104,104,105,105,104,103,104,105,107,107,105,102,101,104,107,107,106,106,104,102,101,100,99,100,100,100,99,99,101,100,99,98,99,99,99,98,97,97,98,97,96,94,94,94,94,94,96,96,96,98,98,98,99,101,103,105,107,110,110,107,102,98,95,96,99,102,102,100,101,104,105,106,109,111,111,110,109,108,107,107,107,106,104,105,105,104,103,102,103,105,105,105,105,105,106,106,106,106,105,105,105,105,105,104,104,105,107,107,106,108,108,107,106,105,107,107,106,106,107,107,107,107,108,108,107,107,108,110,110,110,111,113,113,110,108,108,110,112,112,112,112,111,111,112,113,111,111,112,113,113,113,113,115,117,119,120,120,null],[91,90,90,91,92,96,96,95,94,95,95,93,91,91,91,92,92,92,92,92,93,92,88,90,89,88,87,87,87,89,91,92,98,100,97,94,93,92,91,94,98,101,101,101,101,101,102,103,106,108,106,102,101,105,107,105,103,105,109,110,108,107,105,105,106,108,111,114,112,105,99,98,101,103,104,102,98,95,95,96,98,99,100,99,100,100,98,95,91,88,89,94,102,108,111,109,109,108,109,111,112,110,106,104,103,103,105,106,107,109,110,108,102,100,100,99,97,97,100,103,102,100,97,94,91,90,88,86,86,90,96,99,97,93,92,93,92,90,88,86,85,87,90,91,87,87,94,101,104,104,103,103,102,102,103,104,103,101,99,99,100,100,97,94,93,93,93,91,89,88,90,92,93,93,92,93,92,93,98,103,105,103,102,102,103,103,102,98,95,95,97,99,100,102,103,103,103,102,101,100,101,101,100,98,98,102,105,103,101,103,105,106,106,104,101,99,101,104,106,104,99,95,94,97,100,103,104,105,106,106,104,100,97,96,98,101,101,98,97,98,100,101,102,104,107,108,105,103,102,100,99,100,100,98,96,98,103,106,104,98,93,91,91,93,96,102,106,105,101,100,102,105,107,106,105,105,104,104,104,105,104,103,102,102,101,102,104,106,108,108,105,102,100,102,103,101,99,98,98,98,97,96,95,96,95,95,96,95,94,95,95,94,93,95,96,97,96,95,96,97,96,96,98,99,97,97,98,99,103,106,107,106,104,103,102,105,106,105,105,106,108,107,106,108,109,109,108,106,104,105,107,108,107,105,105,106,105,104,102,103,104,104,107,108,105,102,100,104,107,106,105,105,104,103,101,99,98,99,99,99,100,101,101,99,98,98,99,100,100,99,97,97,97,97,97,96,96,94,94,94,95,96,97,97,96,97,99,102,104,106,109,109,107,103,100,98,96,96,99,103,104,101,102,104,105,107,110,112,111,109,107,106,106,106,106,104,103,104,106,105,103,103,104,104,104,104,105,106,106,105,105,105,105,105,104,104,104,105,104,104,106,107,107,108,108,108,107,107,108,108,107,106,106,106,107,107,107,107,107,108,108,108,109,109,110,112,114,111,109,108,109,110,111,111,112,111,110,111,112,111,113,114,113,112,112,112,114,117,118,119,119,null],[91,92,93,93,93,97,97,94,93,93,94,93,90,89,89,91,93,94,94,93,93,93,90,89,88,87,87,87,88,89,91,94,100,102,99,97,96,95,94,96,99,101,101,102,104,103,102,101,104,106,107,104,101,103,106,106,103,102,104,107,110,109,108,108,108,107,108,109,107,104,100,101,104,103,102,99,97,95,95,96,97,99,100,100,98,96,93,91,90,91,96,103,107,109,111,110,109,107,109,111,112,108,104,102,103,101,100,103,106,110,112,110,105,101,100,101,100,98,98,100,103,104,102,97,93,91,90,88,87,88,93,99,100,96,93,93,92,90,88,87,86,87,90,92,88,86,91,100,106,106,105,104,103,102,103,104,103,103,103,102,102,100,97,95,94,94,93,90,88,90,92,93,92,92,93,93,93,95,101,105,105,105,105,104,101,100,99,98,96,95,96,98,100,101,102,102,102,102,100,99,99,100,99,98,100,103,103,100,100,103,104,104,103,102,101,100,101,104,103,98,95,94,95,99,102,103,104,103,104,105,104,102,99,98,99,101,102,101,98,98,101,103,104,105,106,105,102,99,98,97,98,99,99,99,99,102,104,103,98,92,91,93,95,97,100,104,105,102,100,102,104,107,106,106,105,105,105,104,103,104,105,105,102,100,101,102,104,107,110,110,106,101,99,101,101,101,100,98,97,96,95,94,95,96,96,95,95,94,93,94,95,94,93,93,95,95,95,95,95,96,96,97,98,98,97,96,98,100,104,108,107,105,105,104,103,104,105,106,107,108,108,107,106,107,109,110,110,107,104,103,105,106,106,105,105,106,104,103,102,103,104,105,107,107,105,102,101,103,105,104,104,105,105,103,101,98,97,98,99,99,100,101,100,100,100,100,100,101,100,98,97,97,97,97,97,98,97,96,95,95,95,96,97,98,99,100,103,105,105,105,106,106,104,101,101,100,97,97,101,105,105,102,101,104,105,108,110,112,111,109,106,104,104,104,105,104,103,104,105,105,104,103,104,104,103,103,104,105,105,105,105,105,105,104,104,104,105,105,104,104,105,106,107,107,108,109,108,107,107,107,107,106,106,105,106,106,107,107,107,107,107,108,108,108,109,111,113,112,110,108,107,108,110,112,112,111,110,110,111,112,114,114,113,112,112,112,113,114,116,117,117,null],[91,91,91,92,93,94,95,93,91,91,91,91,90,89,90,92,94,94,93,94,95,94,93,89,88,87,88,88,89,93,94,97,99,102,103,102,99,97,97,97,98,99,100,101,102,103,105,107,104,101,104,105,102,100,102,103,104,104,105,107,111,112,111,111,109,106,102,100,103,108,110,105,99,97,100,103,104,105,104,98,93,93,95,94,91,89,92,94,96,100,103,103,103,104,105,102,98,98,103,107,105,100,99,98,98,97,97,99,102,104,107,109,108,103,98,99,101,101,98,96,98,102,105,103,100,96,94,91,87,88,92,97,101,99,96,94,94,94,91,89,88,87,91,96,92,87,87,95,101,100,100,101,102,103,103,103,103,102,100,97,96,96,96,96,94,92,90,89,89,90,91,92,94,94,93,92,96,103,107,107,106,105,105,104,103,103,104,104,103,101,100,101,100,99,99,99,101,103,104,103,100,98,98,101,102,101,99,97,99,102,103,102,102,101,98,98,100,100,97,95,96,97,98,100,102,103,102,103,104,105,107,105,102,100,99,98,100,101,99,98,99,100,98,96,95,95,95,94,93,95,99,101,101,101,102,101,97,94,94,96,99,101,103,103,102,102,101,103,104,105,105,104,104,104,105,106,107,106,103,102,104,105,105,105,105,105,107,109,110,108,105,103,102,100,100,100,98,95,94,95,95,95,94,94,95,94,94,94,95,96,97,96,96,96,95,94,94,95,96,97,97,96,95,96,97,97,98,102,106,107,107,107,108,108,105,104,105,107,109,108,107,106,106,106,107,108,109,109,108,107,106,103,101,101,104,105,104,102,101,101,103,105,105,105,103,103,105,106,105,104,104,105,104,103,102,101,100,100,101,102,102,102,103,103,103,102,102,101,99,98,99,99,98,97,97,98,98,97,98,98,97,96,96,98,100,101,101,101,101,101,102,102,104,106,108,106,101,100,100,102,102,104,103,103,103,104,106,107,107,106,104,104,102,102,104,105,104,104,104,104,104,104,103,103,104,104,104,103,104,105,106,106,105,104,104,106,106,105,104,104,103,103,104,105,106,106,106,106,105,106,107,108,108,107,105,105,106,106,106,106,107,106,105,106,107,109,111,114,113,111,108,107,108,110,111,112,111,109,110,113,113,113,114,113,112,111,110,111,113,113,114,null],[93,91,92,91,91,92,93,93,93,92,91,92,92,91,92,93,93,92,93,95,96,94,93,89,88,87,88,89,90,93,94,95,97,99,101,102,101,100,100,100,99,98,98,98,99,100,104,108,106,103,104,106,105,104,104,104,105,107,108,108,108,108,108,107,106,104,102,101,104,108,108,102,97,98,102,105,107,106,102,94,89,91,94,94,92,91,94,97,100,102,101,100,102,104,102,95,90,93,100,104,101,98,98,97,95,95,97,99,101,101,102,106,109,105,100,98,100,101,98,96,97,99,101,103,103,100,97,92,88,87,91,94,99,99,96,95,96,95,93,90,88,87,92,98,94,88,86,92,97,98,100,102,103,103,103,103,102,100,97,95,94,95,98,97,94,91,90,90,89,89,90,93,95,95,93,93,98,105,108,108,106,104,104,105,106,106,105,105,104,102,102,101,100,98,99,101,103,105,105,102,98,97,100,102,102,99,98,100,102,102,101,102,102,100,97,98,101,99,98,98,98,99,99,100,101,101,102,103,104,105,106,105,103,101,99,98,98,99,99,98,98,97,96,94,94,95,96,95,95,97,100,102,102,101,101,99,96,96,99,103,104,103,104,103,101,101,103,105,106,106,106,105,104,105,106,106,107,106,105,103,103,105,107,108,107,107,108,109,108,106,104,103,101,100,101,100,96,94,95,96,95,95,95,94,94,93,93,94,95,97,98,97,97,97,96,95,95,96,97,99,100,98,96,98,101,99,99,103,106,107,107,107,107,107,106,104,105,107,108,107,106,106,106,106,106,107,107,107,108,108,107,103,100,102,105,107,104,102,100,101,102,102,102,103,104,105,107,108,107,106,104,103,104,104,103,103,103,103,103,104,104,103,103,102,102,102,102,100,99,99,100,100,98,97,97,98,97,97,97,98,97,96,96,96,97,97,96,96,97,101,104,105,106,107,109,109,106,103,101,99,100,104,106,105,103,102,104,104,104,103,103,104,103,102,103,104,104,104,104,104,105,105,104,104,105,105,104,103,104,105,106,106,105,104,104,106,105,104,104,104,103,103,105,105,105,105,106,106,106,106,107,108,109,108,107,107,106,106,106,107,107,105,104,105,106,108,110,113,115,113,110,108,107,108,110,112,111,110,111,113,112,112,114,114,113,111,110,110,112,113,113,null],[96,94,95,94,93,92,91,92,95,95,94,94,95,94,94,93,92,92,94,96,96,94,93,88,88,88,88,90,94,94,93,93,94,95,96,100,104,105,105,106,101,96,97,98,98,98,101,105,106,103,103,106,107,108,108,107,107,107,106,104,103,103,104,104,102,100,101,103,103,103,102,100,102,105,102,98,100,100,96,92,90,91,93,94,95,96,97,99,101,101,101,102,106,104,97,90,89,96,101,100,99,99,98,96,93,95,97,99,101,101,101,104,109,108,103,100,100,102,100,97,98,97,98,101,104,103,99,94,90,88,89,90,93,97,97,96,96,97,95,91,88,88,90,93,95,89,87,90,96,101,103,103,103,103,103,103,101,98,96,95,95,97,99,98,94,91,90,89,89,89,93,96,97,94,94,98,101,102,104,106,106,105,104,104,104,104,104,103,102,102,103,102,99,98,101,106,107,106,103,99,98,99,102,102,100,98,100,104,105,102,100,100,100,98,96,99,100,97,95,98,99,99,98,97,98,100,102,104,105,105,105,104,104,103,102,101,99,98,99,98,98,98,98,98,98,100,100,100,101,102,103,102,101,99,99,99,100,102,105,107,107,104,102,100,100,102,105,106,107,107,106,105,105,105,106,105,105,106,106,105,105,107,108,107,107,108,106,104,102,102,102,102,100,100,101,101,99,98,98,97,96,96,96,96,95,94,93,94,95,97,98,98,97,96,96,96,96,97,99,101,101,100,101,103,103,100,100,104,106,106,106,106,105,107,107,105,105,107,108,108,108,108,107,107,107,107,106,106,106,106,105,103,103,105,108,108,106,103,102,102,101,100,100,102,105,108,109,109,108,106,103,102,104,105,103,104,105,103,103,105,105,103,101,100,100,101,101,100,100,100,100,100,99,98,97,97,97,97,97,96,96,96,96,97,97,96,96,96,97,101,106,108,108,106,107,109,108,106,104,101,100,102,107,109,107,105,105,105,105,104,104,104,104,104,103,103,103,104,104,104,105,106,106,105,105,105,104,103,104,105,105,105,105,105,106,106,104,103,104,104,103,104,106,105,105,106,107,107,106,105,106,107,107,107,108,108,106,106,106,106,105,105,105,106,108,110,111,112,113,113,112,110,108,108,111,112,112,111,112,113,112,112,114,116,114,112,110,110,110,111,112,null],[98,98,97,95,93,92,92,93,96,97,97,97,98,97,96,94,92,93,95,96,94,92,91,88,87,88,89,91,96,96,94,94,94,94,93,95,100,103,105,107,103,100,101,103,102,102,104,106,106,105,105,106,105,105,105,104,102,100,99,100,102,105,104,101,99,100,102,101,99,98,101,105,109,108,101,93,92,94,92,91,92,91,91,93,95,97,98,100,103,102,101,103,105,100,91,89,95,99,99,98,99,100,98,95,93,95,97,100,102,102,100,102,108,109,105,102,101,103,101,99,98,97,97,99,103,105,102,97,93,89,87,88,91,96,96,96,97,98,96,92,89,88,90,93,96,90,86,89,97,103,105,105,104,103,102,101,98,95,94,94,95,97,97,96,94,92,89,88,89,92,96,97,95,93,96,101,103,102,103,105,106,104,102,101,101,101,100,99,99,100,100,99,99,101,105,106,104,102,100,100,100,100,100,100,98,99,102,105,105,102,100,99,99,98,97,98,98,96,94,95,96,96,96,96,98,101,104,105,105,104,102,103,105,105,103,102,100,98,97,98,99,101,102,101,103,103,102,102,103,103,103,102,100,99,100,103,104,106,107,107,105,102,101,101,101,102,104,105,106,107,106,105,106,106,105,104,103,104,106,107,108,108,107,105,104,105,103,102,100,101,102,101,100,100,101,102,101,100,99,96,95,97,98,97,97,97,96,96,97,97,98,98,97,95,96,97,97,98,100,101,100,101,105,107,104,101,101,103,105,105,105,105,105,106,107,107,106,107,107,108,110,109,108,107,107,107,107,106,106,105,104,104,105,106,108,109,107,104,102,101,100,99,99,102,106,109,109,109,107,104,101,100,103,103,101,102,105,105,105,106,106,104,101,99,100,100,100,100,100,99,100,100,99,97,96,97,97,97,96,96,96,97,97,97,96,95,96,96,97,100,105,109,108,105,105,108,110,109,107,103,101,101,106,110,110,108,108,108,108,106,105,104,104,104,103,103,103,104,104,105,105,106,107,106,105,104,104,103,104,105,105,105,105,106,106,105,104,103,104,104,103,104,105,105,106,108,109,107,105,104,106,107,107,107,108,108,107,106,106,106,105,105,106,106,108,111,112,112,113,113,112,111,109,110,112,113,111,110,111,112,112,111,114,115,115,113,112,111,111,112,113,null],[99,99,97,94,93,93,95,96,97,98,101,101,99,97,97,96,93,93,96,95,92,91,92,88,87,88,90,93,96,98,97,95,95,95,93,91,92,95,98,101,101,102,105,106,105,107,107,106,105,104,104,103,100,99,98,97,95,92,93,98,104,106,104,100,99,103,101,97,96,100,106,111,112,108,99,91,89,90,90,92,92,90,90,92,94,96,99,102,104,102,101,103,101,94,88,92,99,99,97,98,100,100,96,93,93,96,98,100,102,102,100,101,106,110,107,103,100,101,102,100,97,96,97,99,101,104,104,101,96,90,87,86,90,96,96,96,97,98,96,94,91,89,90,94,98,91,86,89,97,103,106,105,104,102,101,98,96,94,93,93,94,94,94,93,93,92,90,89,91,96,97,95,92,94,99,105,105,103,103,103,102,101,100,98,97,97,96,95,95,96,96,97,100,105,106,102,98,97,101,103,103,101,99,99,99,100,102,103,103,102,100,98,98,98,98,98,98,97,94,92,93,96,97,97,100,104,106,105,103,101,101,104,106,105,103,102,100,98,96,96,100,103,104,102,101,102,102,102,102,101,101,101,101,101,103,105,106,106,105,103,102,102,103,104,103,102,102,103,105,106,105,104,105,106,105,104,103,103,104,107,109,107,104,102,101,101,102,102,102,103,103,102,101,101,102,102,101,100,98,95,94,97,99,98,97,98,99,99,98,97,97,97,96,94,96,98,98,100,100,99,100,103,107,107,104,101,101,103,104,104,105,105,106,107,108,108,107,106,107,109,109,109,108,107,107,107,107,107,107,106,104,104,104,105,107,108,107,105,102,100,99,98,99,101,105,107,107,107,106,102,99,100,103,103,100,101,104,106,107,106,107,107,104,102,101,100,100,100,99,99,100,100,98,97,98,99,100,99,98,97,97,98,98,98,96,95,95,96,98,99,103,108,109,107,106,109,111,110,107,105,104,103,105,107,107,108,110,109,107,106,106,105,105,104,103,103,103,103,105,106,107,107,107,106,105,104,104,104,104,105,105,105,105,105,105,104,104,104,104,104,104,104,104,104,106,108,108,106,104,104,106,107,107,107,107,107,107,107,107,107,106,106,106,106,108,111,113,113,113,113,112,110,109,111,112,113,111,109,109,111,112,112,112,114,115,115,114,113,114,114,114,null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null],[101,100,99,101,100,99,101,103,101,100,99,98,98,98,99,98,95,93,95,93,92,89,88,87,88,90,93,95,99,100,98,95,94,96,97,94,91,91,92,90,90,90,92,94,97,99,99,97,94,92,91,92,93,96,97,97,97,98,100,101,99,99,101,105,104,101,97,99,105,110,110,108,107,103,96,91,89,89,88,90,92,91,90,90,94,98,101,101,99,99,102,104,96,91,94,95,93,94,97,100,97,94,93,94,97,99,101,102,102,100,98,99,105,110,110,104,98,97,101,103,97,93,94,98,100,100,102,103,100,93,87,86,87,89,92,93,93,96,98,96,91,88,89,94,98,93,88,92,99,102,102,101,99,99,100,98,97,98,96,91,89,90,90,91,90,89,90,93,97,97,93,92,97,102,106,106,104,101,98,96,97,96,95,95,95,94,95,96,96,96,98,102,104,102,101,99,99,102,104,104,103,103,104,104,105,104,103,103,104,104,101,97,97,99,102,102,100,97,95,96,100,103,102,102,104,106,105,101,98,98,100,102,103,105,104,102,100,97,95,96,99,103,103,100,97,98,101,102,101,100,101,103,103,102,101,103,105,104,102,101,104,107,106,104,104,104,104,105,106,106,105,104,105,105,106,107,108,106,106,107,106,103,100,100,101,102,101,101,101,102,102,101,101,101,100,101,102,102,100,98,95,96,97,97,98,98,99,100,99,98,97,96,96,96,98,98,98,99,99,100,102,105,107,107,105,105,105,105,106,107,107,107,108,111,112,110,107,107,107,107,107,106,106,107,109,108,107,107,108,109,107,104,104,105,107,106,105,103,102,100,97,96,97,99,103,106,105,103,100,98,98,102,105,107,108,107,107,107,107,107,108,109,109,109,108,104,101,101,101,101,101,100,100,102,105,107,108,108,106,102,100,98,98,100,101,100,99,99,100,101,102,106,108,109,109,110,110,110,110,109,108,108,107,105,101,99,100,101,104,105,106,107,106,103,100,100,101,104,106,107,109,110,109,108,108,107,106,105,104,104,104,105,106,106,105,105,105,105,105,106,107,106,104,105,105,105,103,102,104,105,104,105,106,105,105,105,105,106,107,108,108,108,107,106,109,111,112,113,114,114,114,113,111,109,108,110,112,112,110,109,112,115,113,112,111,113,114,115,116,116,116,null],[99,98,99,101,102,102,102,102,100,98,96,95,96,99,100,97,94,93,94,92,90,88,87,88,89,91,95,98,99,100,98,96,98,100,98,94,93,94,94,92,91,90,89,91,95,97,98,97,96,95,93,93,96,101,102,101,102,103,102,100,98,101,105,104,100,99,101,105,108,108,107,107,104,98,92,89,88,88,88,89,91,93,94,94,95,95,96,95,95,100,104,105,99,95,98,95,90,94,99,98,94,92,94,97,99,99,101,103,103,101,99,99,104,109,110,106,100,97,99,102,100,96,94,97,99,100,102,104,104,98,90,87,88,89,92,94,91,92,95,95,92,89,89,93,96,94,89,94,102,103,100,98,99,100,100,98,96,97,95,89,87,88,89,90,89,89,91,94,95,93,91,95,101,104,104,102,99,97,96,96,95,95,95,96,96,96,98,99,99,100,100,101,102,103,104,103,103,104,105,104,105,105,104,104,105,104,102,101,102,102,100,97,97,99,101,100,97,97,99,101,102,101,100,100,102,103,101,98,98,98,99,100,102,104,104,103,101,98,96,97,100,104,106,104,101,101,103,103,102,101,101,102,102,100,100,101,103,105,105,105,106,107,105,103,104,106,107,106,106,106,104,103,104,105,105,106,108,108,108,108,108,105,101,99,99,99,99,99,100,101,101,101,100,100,100,101,103,103,101,100,99,98,99,101,100,100,101,102,100,99,97,97,98,99,99,97,95,96,99,101,103,105,107,106,106,107,108,108,109,109,107,107,108,111,113,111,108,107,107,107,107,106,106,108,109,110,109,107,106,106,106,106,105,105,106,106,105,103,102,101,99,97,98,100,103,106,106,103,99,96,95,98,103,107,108,106,106,106,106,105,106,107,107,107,108,105,103,103,101,100,100,101,102,105,107,108,108,108,108,105,101,99,99,102,103,103,102,101,101,103,104,106,108,109,109,109,109,109,110,110,109,107,105,105,104,102,103,104,107,107,106,105,105,103,102,102,104,106,107,107,108,109,109,109,109,107,106,105,105,105,103,103,105,105,105,105,104,103,104,106,107,106,105,104,104,104,103,102,103,104,105,105,104,104,105,105,104,105,107,108,109,108,108,108,109,111,113,114,114,115,115,114,112,109,108,108,111,113,112,111,112,114,114,113,111,111,113,115,116,116,114,null],[97,97,99,99,99,100,102,101,99,96,94,91,93,96,96,93,92,93,94,93,88,88,88,88,90,91,93,96,97,97,98,100,104,104,99,94,95,96,96,94,92,90,89,89,92,95,95,95,97,99,98,98,100,101,102,102,103,103,102,100,101,104,105,101,99,102,106,108,107,107,107,105,100,92,88,88,88,88,89,90,93,96,96,96,94,93,93,93,94,99,103,104,101,98,97,94,92,96,98,95,91,92,96,99,98,98,100,102,103,102,101,101,104,107,109,109,103,96,97,101,103,101,96,94,96,100,101,103,105,101,94,88,87,89,92,96,92,91,92,94,93,90,89,89,89,89,90,94,101,100,98,97,99,101,99,95,94,95,93,88,87,89,90,89,88,91,95,97,93,91,94,99,101,99,95,94,93,92,94,96,96,95,97,98,99,98,98,99,100,101,101,99,100,103,106,107,106,104,105,105,105,105,103,103,104,103,101,101,101,99,97,96,96,98,98,98,98,101,103,102,102,101,101,101,102,102,100,98,98,99,99,98,100,103,104,103,102,101,99,97,99,102,104,103,103,104,104,103,103,103,103,102,102,102,102,103,104,106,105,105,106,106,103,103,105,107,106,106,105,105,104,103,104,105,105,105,106,106,107,108,108,104,100,98,98,98,99,99,99,100,100,100,99,99,100,101,102,102,100,99,100,100,101,102,101,101,103,103,101,101,99,98,99,100,100,97,95,97,101,103,105,105,105,106,107,108,110,109,109,109,108,108,108,108,109,109,108,107,107,107,107,106,105,106,108,110,110,108,106,105,105,107,107,105,105,106,105,103,102,102,101,99,100,102,104,105,105,103,98,95,93,97,102,107,106,105,104,104,104,105,106,106,105,107,108,107,105,104,102,100,101,102,103,105,106,107,108,109,109,108,105,103,102,102,102,103,103,103,104,104,105,106,107,108,110,109,108,108,109,110,109,106,106,105,103,101,102,106,109,108,105,103,105,106,104,104,105,107,108,108,106,106,107,110,110,108,106,106,107,106,104,102,103,104,104,104,103,102,103,105,106,105,103,103,104,104,103,102,102,104,105,104,103,103,105,106,104,104,107,109,110,109,108,109,109,111,113,113,113,115,116,114,111,108,109,109,110,112,113,112,112,113,115,114,113,113,114,115,116,115,114,null],[95,97,99,99,99,100,101,100,97,95,94,93,91,93,91,89,90,93,94,94,88,88,88,89,90,90,92,94,94,95,97,102,107,105,100,96,97,97,96,95,94,92,91,91,90,91,92,93,95,98,100,101,101,100,100,102,101,100,100,102,105,104,101,99,101,107,109,108,105,106,106,102,94,87,86,88,88,89,91,92,93,95,96,93,91,91,93,93,94,98,101,102,100,97,93,93,94,98,97,93,91,94,97,98,96,96,98,101,101,102,102,104,106,106,108,111,105,97,95,101,106,105,98,93,93,97,100,102,104,103,97,90,87,88,92,98,96,92,90,92,93,91,89,88,87,89,91,94,99,98,96,98,100,100,97,93,92,94,94,90,89,89,90,89,89,94,98,96,92,91,97,100,97,92,90,91,91,92,94,95,96,97,97,98,99,98,97,97,99,100,100,100,101,104,105,105,106,106,106,106,105,102,102,104,104,103,101,100,101,99,96,96,96,97,96,96,99,102,103,103,102,104,105,103,101,101,99,98,99,100,99,97,99,104,104,102,103,104,100,97,98,101,102,101,102,104,104,103,103,105,105,104,103,105,106,107,106,105,104,104,105,105,103,104,106,106,105,104,104,104,104,104,104,105,105,105,105,104,105,107,106,103,99,98,98,98,99,99,99,100,100,99,99,100,100,100,101,101,100,100,101,101,102,102,102,102,103,102,102,102,101,99,98,99,100,99,98,99,102,104,106,105,105,106,107,109,108,108,107,108,109,109,108,107,106,106,107,107,107,107,107,106,105,104,106,108,110,110,107,105,104,106,107,107,107,107,106,104,102,103,103,102,102,103,103,104,104,102,98,94,93,96,101,105,104,103,103,102,103,105,106,106,106,107,108,107,105,103,101,101,102,103,104,105,105,106,108,109,109,109,108,107,106,103,102,102,103,105,105,105,105,105,106,107,109,110,108,107,108,109,109,106,106,105,101,99,99,104,108,107,104,103,107,108,106,104,105,106,108,108,106,105,107,109,110,109,108,107,107,107,104,102,102,102,103,102,102,102,103,104,105,104,102,102,103,104,104,103,103,103,103,103,103,103,104,106,104,104,106,109,110,109,109,109,109,111,113,112,113,115,117,114,111,108,108,109,109,111,113,113,113,113,114,115,115,115,115,116,116,115,115,null],[92,95,99,101,102,103,102,98,95,94,95,95,93,90,88,88,90,93,89,89,87,88,88,92,91,90,91,92,93,93,96,101,104,105,102,99,99,97,95,96,96,96,95,92,90,89,90,90,92,93,95,98,99,101,103,103,101,98,101,106,107,104,101,101,104,108,108,105,103,103,104,97,89,84,85,88,89,89,92,92,91,91,91,90,90,91,92,91,93,96,101,101,96,91,90,93,95,97,96,94,93,95,97,97,97,96,97,99,100,100,102,104,106,106,108,111,106,98,96,101,106,106,101,95,92,94,99,102,103,104,100,93,88,88,88,92,98,94,90,90,92,92,90,87,88,90,92,95,99,98,99,101,101,98,94,91,91,93,94,93,91,89,88,89,92,97,98,94,91,93,98,99,95,93,92,93,94,94,95,96,97,98,98,97,96,97,97,99,100,99,99,102,105,106,104,102,103,107,108,106,103,102,104,106,105,102,100,100,101,99,97,96,96,95,94,95,97,99,101,103,107,108,105,102,100,99,97,97,100,100,97,96,99,105,106,102,103,104,101,99,101,102,101,101,102,103,103,103,104,105,105,103,104,105,107,107,105,104,104,105,105,104,103,104,106,107,106,104,103,102,104,105,106,105,105,106,105,104,105,107,107,104,101,100,99,98,97,98,99,100,100,98,97,99,100,100,100,101,102,103,103,103,103,103,103,102,102,101,102,103,102,98,97,98,100,101,101,101,102,105,107,107,107,107,109,109,108,107,106,107,108,108,109,109,107,106,106,107,108,107,106,105,105,105,105,107,109,110,109,106,105,106,107,109,109,109,107,106,105,105,106,105,105,104,103,103,104,103,99,95,94,97,101,103,103,103,103,103,103,104,106,107,107,106,106,105,103,101,100,101,102,104,106,107,105,104,106,108,108,109,109,109,108,106,105,104,105,105,105,105,105,104,104,106,108,108,107,107,108,109,108,105,104,103,101,99,99,101,105,105,105,106,109,109,105,104,105,106,108,108,109,108,109,109,110,110,109,107,106,105,104,103,103,103,103,103,102,102,102,104,105,104,102,102,102,103,103,103,104,103,101,103,104,103,103,103,103,103,106,108,110,110,109,109,110,112,113,113,114,115,117,114,111,108,108,108,108,111,113,114,114,114,113,113,114,113,114,116,116,116,115,null],[94,96,100,104,106,103,99,96,94,95,97,95,92,90,89,90,91,92,88,87,87,88,88,92,92,91,90,91,93,94,94,96,99,103,104,102,100,96,93,95,96,96,97,95,92,91,91,90,89,89,90,93,96,102,106,104,100,100,104,106,104,101,102,104,106,106,104,102,102,103,100,92,85,83,85,87,89,90,91,91,89,88,88,88,89,90,91,92,94,96,99,98,93,88,89,92,94,95,94,92,94,97,98,98,98,98,98,99,100,100,100,102,105,106,109,110,107,99,96,98,103,105,104,99,93,91,95,101,103,104,103,97,91,88,86,91,99,96,92,90,91,93,90,86,88,91,95,98,100,99,101,103,101,97,92,90,90,93,95,94,91,90,89,91,94,95,93,91,94,99,100,98,97,97,98,99,99,99,98,98,99,98,97,96,97,98,99,100,101,100,100,105,108,106,102,101,103,106,106,104,102,104,106,106,103,101,100,100,101,99,96,94,93,93,93,96,100,101,101,104,109,109,105,101,99,98,97,97,100,100,96,96,101,106,106,104,103,103,100,100,103,103,101,101,101,101,102,103,104,105,105,104,104,105,106,106,104,103,104,106,105,105,105,105,106,106,105,105,104,103,104,106,106,105,104,105,106,106,105,106,106,105,102,101,100,98,98,98,99,100,100,99,98,100,101,101,101,102,104,104,103,102,103,104,103,102,100,100,100,100,99,97,97,99,100,102,105,104,104,105,106,107,107,108,109,108,107,106,107,108,109,109,109,110,110,108,107,108,109,107,106,105,106,106,105,105,107,109,110,108,106,106,108,109,109,108,107,107,107,108,108,108,107,107,105,104,104,104,101,97,95,97,98,100,102,104,105,104,104,104,106,107,108,107,106,103,101,99,100,102,103,105,107,107,105,104,104,106,107,108,108,108,107,107,106,106,105,105,105,105,105,104,104,106,107,107,108,108,108,109,108,104,102,102,101,100,100,102,104,105,107,109,109,107,104,103,105,106,108,110,112,112,110,108,109,109,108,106,106,105,104,103,103,103,103,104,103,102,103,104,104,104,103,102,102,102,103,103,104,103,101,102,104,103,102,101,102,103,105,108,111,111,110,109,110,111,112,113,114,116,116,114,111,109,109,108,108,109,111,113,114,114,113,112,112,112,114,115,117,117,117,null],[99,100,102,105,104,100,96,96,96,97,96,92,90,91,91,91,88,89,88,87,87,88,88,92,93,93,90,90,92,93,93,93,94,99,103,104,100,96,93,94,94,94,95,97,96,94,93,91,90,89,89,91,95,102,105,102,100,104,105,103,101,101,103,105,104,102,101,100,101,101,96,89,84,85,86,86,88,89,89,89,89,89,89,89,89,89,91,94,96,96,94,94,92,90,89,91,94,94,91,92,94,99,101,101,99,99,100,100,100,100,100,100,101,105,109,111,107,100,96,96,99,105,107,102,95,91,92,97,101,104,105,101,94,89,87,89,98,97,94,90,89,91,90,86,88,92,97,99,100,100,102,103,100,95,92,91,91,93,94,93,91,91,92,94,93,92,91,93,100,105,103,100,100,101,102,103,102,101,100,100,100,99,97,98,100,101,101,101,101,102,104,106,106,104,103,103,104,103,101,100,103,107,107,104,101,99,99,99,99,97,95,93,93,93,95,100,104,105,105,104,106,107,105,101,97,97,97,98,101,100,96,97,102,104,104,103,104,102,98,99,103,102,100,100,100,100,99,100,103,105,105,105,105,106,106,105,104,104,105,105,105,106,107,106,105,105,105,106,107,106,105,105,106,105,104,104,105,107,105,104,104,104,102,101,99,99,99,99,99,99,100,100,100,101,102,103,103,103,103,102,101,100,101,103,103,102,100,98,98,98,97,96,98,100,99,102,106,107,105,104,104,105,105,106,107,107,105,106,108,109,110,110,109,110,110,108,107,109,108,107,105,105,106,106,105,103,106,109,109,108,107,107,107,108,108,107,106,106,107,109,109,107,108,109,108,106,104,104,104,100,98,98,97,97,100,103,106,105,105,106,106,106,108,108,107,104,101,101,102,104,105,105,106,105,104,105,105,105,106,107,107,106,106,107,107,106,105,105,104,104,104,105,105,106,106,106,108,108,108,109,107,104,102,102,101,101,102,105,107,106,106,108,108,106,104,105,106,106,108,111,112,111,109,108,108,108,107,106,107,107,106,105,104,104,104,104,104,103,104,104,103,103,103,102,102,102,103,103,103,103,102,102,102,102,101,101,102,104,106,109,112,112,111,109,109,110,111,112,113,115,116,114,111,109,110,110,109,108,108,110,112,113,113,113,112,112,113,115,117,118,118,null],[106,104,102,102,101,98,97,98,99,98,94,90,90,91,93,88,88,88,87,87,87,90,90,92,93,92,90,89,89,90,91,93,92,94,99,101,101,97,95,96,95,93,93,95,97,96,94,94,93,92,92,94,98,99,99,99,100,102,103,101,100,101,103,102,100,99,98,97,96,94,91,87,84,86,87,87,87,88,88,88,89,90,90,90,91,94,95,95,94,92,91,90,89,88,89,91,93,92,91,94,97,101,104,102,101,101,102,101,101,101,101,100,100,103,107,110,108,102,96,96,99,104,108,105,100,95,92,94,98,101,103,103,98,89,86,87,90,94,95,90,87,88,87,86,88,93,99,97,97,99,102,100,95,92,93,92,91,91,91,91,92,93,94,93,92,94,97,101,105,107,104,101,101,101,101,101,101,100,99,100,101,102,101,101,101,101,101,103,104,106,105,105,104,103,106,107,103,97,96,100,106,106,103,100,98,96,97,97,97,96,97,98,99,100,102,105,107,107,106,105,105,105,104,100,96,95,96,99,102,101,95,97,102,104,103,102,103,100,97,99,104,102,99,100,100,99,98,100,103,104,104,105,106,106,105,104,104,105,105,104,105,107,107,105,104,103,104,106,107,106,105,104,105,106,106,105,106,107,106,104,104,102,100,98,99,100,100,99,98,98,98,100,102,102,102,103,104,103,102,101,99,98,100,102,103,102,99,97,97,96,97,97,99,99,99,102,107,108,106,105,104,104,104,105,105,105,105,106,108,110,109,109,109,111,110,108,106,106,106,105,106,106,105,104,103,103,105,107,107,108,109,108,107,107,107,107,106,106,108,109,109,108,108,108,108,108,107,107,106,104,102,102,99,97,98,102,105,106,106,107,107,106,107,107,106,104,104,104,104,105,105,105,104,103,104,106,107,107,107,107,106,106,107,108,107,107,106,105,104,103,103,105,106,106,105,105,106,107,107,108,108,106,105,103,101,101,104,107,109,107,106,106,106,107,107,108,108,108,108,109,109,108,108,109,109,108,106,107,107,107,107,106,105,105,104,103,103,103,104,104,103,102,102,102,102,103,103,103,102,102,102,102,102,102,102,101,102,103,106,109,111,112,112,110,110,111,111,112,113,116,116,113,110,108,110,111,110,109,107,109,111,112,113,113,113,113,114,116,118,118,118,null],[109,106,102,100,100,99,99,100,102,99,94,91,91,92,92,88,88,87,87,87,87,89,89,90,90,90,91,89,87,87,90,92,92,91,94,96,97,96,96,97,96,94,92,93,95,96,96,96,96,94,96,98,99,97,95,97,100,100,101,101,100,102,103,99,97,97,96,93,90,89,88,87,85,87,87,87,87,88,90,91,92,93,92,92,95,96,96,95,93,91,90,88,87,87,88,90,93,93,93,97,101,104,104,103,101,101,102,101,100,99,100,100,99,101,105,109,108,103,97,96,99,104,106,106,103,99,94,92,95,98,101,103,100,92,87,87,89,93,96,92,88,86,85,86,88,94,100,98,97,101,101,97,92,91,93,93,92,92,91,92,93,94,94,94,96,100,103,106,106,105,102,101,100,99,100,100,99,98,99,101,103,103,102,101,100,100,102,104,105,105,104,103,103,105,107,104,99,94,94,100,104,102,100,99,97,95,95,96,96,98,100,104,105,106,106,107,107,106,105,105,104,103,102,99,96,94,96,99,103,100,95,96,102,104,103,101,100,99,97,100,104,101,99,100,100,99,98,100,102,102,102,103,105,106,105,104,104,105,104,103,104,106,106,104,103,103,104,104,105,106,106,106,106,107,107,107,106,106,105,105,104,102,98,96,97,100,100,98,98,98,99,101,103,102,101,102,102,103,102,101,99,99,99,100,101,100,98,97,98,97,98,99,99,99,99,103,106,106,106,106,106,104,105,105,105,106,106,107,108,108,107,107,109,110,109,107,105,105,105,106,106,106,105,104,103,104,105,106,107,108,110,109,107,107,108,108,107,106,106,106,107,108,107,106,108,109,108,108,107,106,106,105,101,98,98,99,102,103,106,108,109,108,107,107,106,106,106,107,108,106,105,104,103,102,104,108,110,108,107,106,106,107,109,108,108,107,107,106,105,103,103,104,105,105,105,105,105,106,107,108,108,108,106,104,101,102,107,109,108,107,106,106,107,108,110,110,109,108,108,108,107,107,108,110,110,108,107,107,107,107,107,107,107,106,105,104,103,103,104,104,104,103,102,102,102,103,103,102,101,101,102,102,102,102,102,102,103,104,105,107,110,111,112,111,111,111,112,113,113,115,116,114,110,108,109,111,112,110,108,109,110,111,112,113,114,115,116,117,117,118,118,null],[106,105,102,101,101,99,98,98,99,98,95,92,91,89,89,88,87,87,87,87,88,88,88,87,88,89,90,91,90,89,88,89,90,92,91,91,92,93,94,95,96,95,92,92,94,96,96,96,94,95,100,102,97,95,96,99,101,100,101,101,99,100,101,97,95,96,94,90,89,89,88,87,87,88,88,87,88,90,93,96,97,96,95,95,96,94,90,92,90,88,87,86,86,87,87,88,89,89,92,99,101,103,102,100,100,100,100,100,98,96,96,99,100,100,103,107,107,103,97,96,99,103,105,105,103,101,97,94,94,97,101,103,102,97,90,87,88,92,97,94,90,86,85,86,89,95,100,100,100,102,100,95,94,94,94,94,94,94,94,95,95,96,96,99,103,103,102,103,103,102,100,99,98,98,99,100,99,98,101,105,105,102,99,98,100,102,103,102,101,101,102,104,106,106,102,96,92,93,96,98,98,98,99,100,97,96,96,97,99,101,103,104,105,106,107,106,105,104,104,104,103,102,101,99,96,94,96,100,101,98,95,97,102,104,103,101,98,97,97,101,103,100,98,99,99,98,98,100,100,100,100,101,103,105,105,104,103,104,105,105,104,104,105,104,103,103,103,104,104,105,106,107,107,107,107,107,106,105,104,104,104,101,97,95,96,98,98,97,98,100,101,102,102,101,100,101,101,101,101,100,100,101,100,99,99,99,99,99,99,98,98,98,99,100,100,101,104,105,106,108,108,106,106,106,106,107,108,107,107,107,106,107,109,109,108,107,106,107,107,107,106,105,105,106,105,104,103,105,107,109,110,109,108,108,108,109,109,106,103,103,106,107,107,106,108,108,107,107,107,107,106,105,104,102,100,99,100,101,104,108,110,110,108,109,110,110,110,110,110,108,106,104,102,101,103,107,109,109,107,107,107,109,109,108,108,109,108,107,105,103,102,103,103,103,104,104,105,106,107,107,107,107,106,103,101,104,109,110,107,106,107,109,109,109,111,110,109,109,109,109,108,108,109,110,109,108,107,107,107,107,105,106,107,107,106,106,105,105,105,105,104,103,102,102,103,103,102,102,102,102,102,102,102,101,102,103,104,104,105,106,109,111,111,111,111,111,113,113,113,114,115,114,110,108,109,111,112,111,111,111,111,111,113,113,113,115,116,117,117,116,117,null],[103,102,100,99,98,96,97,97,96,95,93,91,90,88,88,87,87,88,88,88,87,88,88,88,89,89,88,90,92,91,89,88,90,92,91,90,89,90,91,91,92,93,94,94,93,93,93,93,93,96,103,103,96,94,98,102,102,100,98,99,99,97,95,94,96,96,92,87,88,89,88,88,90,92,92,91,92,93,95,98,99,98,96,96,95,92,89,91,89,87,85,85,86,87,88,88,89,91,94,99,100,101,99,99,100,102,100,98,95,94,97,99,100,100,102,107,107,102,98,97,100,102,104,105,105,103,99,95,94,96,100,102,103,101,94,89,89,91,97,95,91,87,85,85,88,94,100,102,101,101,98,96,95,96,96,96,97,96,95,94,96,99,102,103,103,100,99,99,100,99,98,98,98,97,98,98,98,99,101,103,103,101,98,99,102,104,103,101,100,101,105,106,105,101,95,91,90,93,96,96,96,98,99,99,97,97,99,101,103,104,104,104,104,105,105,104,104,104,102,100,101,102,101,99,96,95,98,101,99,96,95,99,103,103,102,100,98,98,101,103,102,100,98,99,99,99,99,100,100,99,100,101,102,104,105,104,104,104,105,105,104,104,105,106,105,103,103,104,105,106,106,106,107,106,106,107,107,106,104,103,101,99,97,95,96,97,96,97,101,104,105,103,100,99,98,99,99,99,98,99,101,102,101,99,98,99,99,100,100,99,98,98,99,101,101,102,102,104,106,108,108,107,107,108,108,108,107,106,106,107,107,108,109,108,107,106,107,108,107,106,106,105,105,105,105,104,104,105,107,109,109,108,107,108,109,110,110,107,103,103,105,107,107,106,107,106,106,106,107,108,106,104,104,103,103,102,101,102,104,107,109,109,107,109,112,112,110,111,111,110,107,104,102,101,104,107,110,110,109,108,108,109,110,108,109,110,109,107,105,104,103,103,104,103,103,104,104,105,107,107,107,107,106,104,103,106,109,109,107,109,109,109,109,110,111,110,109,110,110,110,109,108,108,109,108,107,107,107,108,107,106,105,106,106,105,107,107,107,106,105,104,103,102,103,104,104,103,102,102,102,102,102,102,101,102,103,103,104,105,106,108,110,111,112,112,112,112,113,114,115,115,113,109,107,109,111,112,111,111,112,112,111,112,113,113,115,116,116,116,116,116,null],[100,100,100,97,95,93,95,96,92,91,90,90,90,88,87,88,88,88,88,88,87,88,89,89,89,88,87,88,91,91,91,90,91,91,92,92,91,91,90,88,89,92,95,95,91,91,91,91,93,97,102,101,96,95,100,104,102,97,95,97,99,94,89,91,95,95,91,87,88,89,88,89,92,94,95,94,94,94,94,96,97,96,96,95,92,91,88,88,87,86,85,85,86,87,89,91,95,97,98,99,99,99,98,99,100,102,100,97,95,95,98,100,100,100,102,107,107,102,99,98,100,101,103,106,107,106,101,97,94,95,98,101,103,103,97,91,88,88,89,90,91,86,85,86,89,95,100,101,99,98,98,98,97,97,97,97,98,98,96,95,98,103,106,104,100,98,98,98,98,97,97,98,98,97,96,97,99,100,100,101,101,101,101,102,104,105,104,102,102,104,106,104,99,93,91,90,91,92,94,97,99,100,100,98,97,99,103,105,106,105,105,104,104,104,103,103,104,104,100,97,100,103,102,98,95,95,100,102,99,94,96,102,104,102,99,100,99,101,104,104,100,99,99,99,99,99,99,99,100,100,101,102,102,102,103,105,105,105,105,105,104,104,107,108,106,104,104,104,106,107,106,105,105,106,105,106,108,107,106,103,99,97,96,96,96,97,97,99,103,106,105,101,97,96,97,98,98,97,96,97,100,100,100,99,99,99,99,100,100,99,99,99,100,101,103,104,103,103,105,107,107,107,107,108,109,108,107,105,106,108,108,108,108,107,107,107,108,109,107,105,106,106,105,104,104,105,106,106,108,109,109,108,107,107,109,110,110,107,103,104,107,107,106,106,105,105,105,105,106,107,106,104,104,105,105,105,104,104,104,106,108,108,106,107,111,110,109,110,110,110,108,104,102,103,106,109,111,111,110,110,109,110,110,109,109,110,109,107,106,104,104,105,105,103,103,103,103,105,106,106,106,107,106,105,106,106,106,107,108,111,110,108,108,109,110,110,110,110,110,109,107,107,108,108,107,106,106,107,107,107,107,106,105,105,105,107,107,107,106,106,104,103,103,104,104,104,104,103,102,102,102,102,102,102,102,102,103,103,104,105,107,109,111,113,113,113,112,113,115,117,115,112,108,107,110,112,112,111,111,112,112,111,112,113,114,114,115,116,116,116,116,null],[99,102,103,98,92,91,93,94,91,89,90,88,87,87,87,88,89,88,88,87,86,87,88,88,88,87,87,88,89,89,89,90,92,92,92,91,91,91,91,90,90,90,92,91,90,91,93,94,96,99,99,97,96,99,101,100,95,91,94,100,100,94,88,90,92,91,89,87,88,90,91,91,91,92,92,92,91,92,92,92,92,94,94,92,89,87,86,86,86,87,86,86,87,89,94,96,97,97,97,98,99,100,99,99,99,99,99,99,98,97,98,99,99,99,101,106,106,102,97,96,99,101,102,104,106,106,102,98,95,94,96,99,103,103,100,94,87,86,86,89,92,87,85,87,91,96,99,99,98,98,99,100,100,99,98,97,97,99,99,100,101,103,104,103,101,102,101,99,97,97,97,98,99,100,100,99,100,102,103,104,104,104,104,103,105,107,107,106,105,104,100,96,92,89,90,90,91,93,96,99,101,100,100,99,100,102,105,106,105,104,104,105,104,102,101,102,104,103,98,96,100,104,102,97,95,96,101,102,97,94,98,105,107,102,98,98,100,102,103,101,97,97,99,99,98,97,98,99,100,102,103,103,102,102,102,102,103,104,105,105,104,104,106,108,107,107,106,106,107,107,107,106,106,106,106,107,107,107,105,102,98,96,97,97,97,98,98,99,101,103,101,98,96,95,96,98,99,98,97,98,100,100,99,99,99,99,98,98,99,100,100,99,100,102,105,106,106,105,104,105,106,106,106,106,106,106,105,104,106,108,109,108,107,108,108,108,108,108,106,105,106,106,105,104,105,106,106,106,107,108,108,109,108,106,108,110,107,104,103,106,108,107,106,105,104,104,106,107,106,105,105,105,106,107,106,106,105,104,104,106,108,108,106,106,108,108,108,108,109,108,107,105,104,105,109,110,110,109,109,110,110,109,109,110,110,108,108,108,107,106,107,107,105,103,102,103,103,104,105,105,105,105,106,106,107,105,103,104,107,110,109,108,108,109,110,111,111,109,107,105,105,106,107,107,107,106,105,105,105,106,107,107,106,107,107,107,105,105,105,105,105,105,105,104,104,103,103,103,102,101,101,102,103,102,102,103,103,103,103,105,107,109,111,112,112,112,113,113,115,117,115,112,109,108,110,112,114,113,113,112,112,112,112,113,114,113,115,116,117,116,115,null],[97,101,103,98,92,90,91,92,93,92,92,87,87,87,87,87,88,88,87,86,86,85,86,86,87,87,88,88,87,87,88,89,90,90,90,90,90,90,91,92,92,91,89,89,89,92,95,97,98,98,97,98,99,100,97,94,92,92,98,101,98,92,89,89,89,88,87,87,88,89,90,90,89,89,89,90,90,92,93,92,91,92,92,90,88,86,85,85,87,88,88,89,89,91,95,98,99,97,96,98,100,100,99,97,95,95,98,101,100,99,98,98,98,99,102,105,107,104,96,94,98,102,103,102,103,104,103,100,98,95,94,98,101,102,102,96,88,85,85,89,95,89,86,88,93,98,101,100,100,101,100,100,100,100,98,97,97,100,102,103,102,101,100,100,101,103,102,98,96,97,98,99,100,101,101,100,101,103,105,106,107,107,106,106,106,106,106,104,101,96,92,91,90,91,91,91,93,95,99,102,102,101,100,101,101,102,104,104,103,102,101,102,101,100,101,104,105,101,97,98,102,104,101,96,94,98,102,101,97,96,102,106,106,102,98,98,99,101,100,97,95,96,98,98,97,96,97,98,99,101,104,105,104,102,101,100,101,103,105,105,105,105,106,107,107,108,108,107,106,107,108,108,107,107,107,107,106,106,105,104,101,98,98,98,99,98,98,98,100,100,99,97,96,96,97,99,100,99,99,99,101,100,100,99,99,98,98,98,99,101,100,99,100,102,105,106,108,106,105,105,106,106,105,105,106,106,106,106,107,108,109,108,107,107,108,109,108,106,106,107,107,107,106,106,106,107,107,106,107,108,108,109,109,108,108,108,103,102,103,106,107,106,105,105,104,105,107,107,105,104,103,104,105,106,106,106,106,105,105,107,109,108,106,105,106,108,108,108,108,108,106,104,104,107,111,110,109,108,109,110,110,110,109,109,108,107,108,108,108,107,107,107,105,104,103,103,103,103,103,103,103,104,105,106,106,105,102,103,106,108,109,108,107,107,109,111,111,107,104,103,103,105,106,107,107,106,105,103,103,105,107,107,106,107,108,107,105,104,104,105,104,105,105,105,103,103,103,103,102,101,101,102,103,102,102,103,103,103,103,104,106,107,109,110,111,112,113,114,115,117,116,113,110,109,108,111,115,115,114,112,111,112,113,114,114,113,114,116,117,116,116,null],[95,96,98,95,90,89,88,90,94,95,88,88,88,88,88,89,89,89,87,87,86,83,84,86,87,87,87,87,87,88,88,87,87,87,88,89,89,89,89,90,92,93,91,89,89,92,95,98,97,96,97,100,101,98,93,92,95,100,102,99,92,89,88,89,89,88,88,88,88,88,89,90,90,90,90,92,95,96,97,96,94,93,91,88,87,86,86,87,88,89,90,91,92,95,96,99,100,99,99,100,100,99,98,95,93,95,99,101,101,99,98,98,98,100,103,105,107,105,96,93,99,103,103,101,101,103,104,103,101,97,94,95,99,102,102,99,91,86,85,87,91,92,87,88,93,98,101,102,102,102,100,99,98,99,100,100,100,100,101,102,102,100,98,97,98,101,100,97,96,97,98,99,100,100,100,100,101,103,105,106,105,106,107,107,105,102,99,95,91,88,88,91,93,93,92,93,95,98,100,102,103,102,102,101,101,100,99,101,101,100,98,96,97,98,101,104,104,100,97,100,103,103,100,95,94,99,102,99,96,99,105,106,103,101,100,98,99,100,98,96,95,96,97,97,96,96,96,96,97,100,103,105,104,101,98,97,99,102,105,105,105,106,106,106,107,108,108,107,106,106,107,108,108,107,106,106,105,104,105,105,103,100,99,100,100,97,96,97,100,100,99,97,97,97,98,99,99,98,99,100,101,100,100,99,98,97,97,98,99,99,99,100,101,103,105,106,106,106,106,106,106,106,105,106,108,109,109,109,107,106,108,109,107,107,108,109,108,106,106,107,108,108,107,107,107,108,107,107,108,109,108,109,110,110,108,104,102,102,104,105,105,105,105,104,104,105,106,106,105,103,102,102,102,103,105,106,107,106,106,106,107,107,106,106,107,109,110,108,109,109,106,103,103,107,111,109,109,110,110,110,110,110,110,108,107,108,109,109,108,107,106,105,105,104,104,104,103,102,102,103,103,103,103,104,105,105,104,105,106,108,108,108,106,106,108,110,110,107,105,104,104,104,106,107,107,107,105,103,103,105,106,106,105,105,106,107,107,106,105,104,103,104,105,105,104,103,103,103,102,102,102,102,102,102,102,103,103,103,103,104,104,104,105,107,110,112,113,114,115,116,115,113,112,110,108,110,113,114,113,111,110,111,113,115,115,113,113,115,116,116,117,null],[92,91,92,91,89,88,88,89,89,88,87,88,89,89,89,89,90,90,88,87,86,85,85,85,85,85,86,86,87,88,88,87,86,86,87,88,88,88,87,89,91,93,93,91,91,92,94,95,95,95,97,99,98,95,95,98,102,103,100,93,88,86,87,89,89,89,88,88,89,90,91,91,91,92,93,96,97,97,96,96,91,89,88,87,86,87,87,88,90,92,95,97,98,98,98,100,101,101,100,99,99,99,98,95,94,97,100,100,100,100,99,98,99,99,101,104,106,105,96,94,99,103,101,100,101,103,104,104,105,101,96,94,97,101,102,99,93,87,86,87,90,93,89,89,92,95,97,97,97,99,99,99,99,102,104,105,103,102,101,100,99,99,97,98,99,100,99,98,97,98,99,101,102,103,102,102,102,104,105,105,104,103,104,103,99,94,90,89,88,88,90,92,93,94,96,98,98,96,96,98,101,102,102,101,99,97,96,98,100,99,96,95,97,100,102,103,102,98,99,103,105,103,100,95,94,100,101,97,96,100,105,105,102,101,100,99,99,99,96,96,96,96,96,96,96,96,95,95,96,99,102,104,102,99,97,97,97,101,104,105,105,106,107,107,107,107,107,106,105,106,107,107,107,105,104,103,103,102,102,103,104,102,100,101,101,99,98,98,100,99,97,96,96,97,99,99,98,98,99,100,100,100,99,98,98,97,97,97,98,98,98,99,102,104,105,106,106,106,106,106,107,107,106,107,110,111,110,110,108,108,109,109,108,108,109,109,108,107,107,108,108,108,108,108,108,108,107,107,109,108,107,108,110,110,107,104,103,106,107,105,103,104,104,103,104,105,105,105,105,104,103,102,101,100,103,105,106,106,106,106,106,105,106,107,108,110,111,109,110,109,105,102,102,104,107,108,109,111,111,110,110,110,109,108,107,108,109,109,109,107,105,104,103,103,103,104,103,103,103,104,103,102,102,102,104,104,104,104,106,107,108,109,108,107,107,109,109,108,106,105,105,105,105,105,106,106,105,104,104,105,105,105,105,105,105,106,106,106,106,105,104,104,104,104,105,105,104,103,102,102,102,102,102,103,103,103,103,103,103,104,104,104,104,105,108,111,112,114,116,117,116,114,112,112,111,110,110,111,111,110,109,111,113,114,115,114,113,115,115,115,116,null],[90,88,88,88,88,88,88,89,88,87,87,88,90,91,90,89,89,90,90,88,87,85,85,84,84,84,86,86,86,87,88,87,87,88,88,88,88,87,87,88,90,91,92,92,92,92,93,93,93,95,96,95,94,95,100,103,104,101,94,90,88,87,87,88,89,89,88,88,90,93,94,94,94,94,96,98,99,96,93,93,88,87,86,86,87,88,89,90,93,95,98,100,100,100,100,101,101,101,100,98,98,99,99,98,98,99,100,100,100,98,97,98,100,101,102,105,107,104,97,94,99,101,98,99,101,102,103,104,105,103,99,95,96,100,100,97,93,89,87,87,89,92,91,91,92,94,93,93,93,96,99,101,102,104,106,106,104,103,102,101,99,98,98,99,100,99,98,98,98,99,100,102,104,106,105,103,103,103,103,103,102,99,98,96,92,88,86,88,91,93,93,93,93,94,97,98,97,94,94,97,100,101,102,101,100,98,97,98,99,99,97,97,99,103,104,102,98,98,101,105,106,104,99,95,96,100,100,97,97,100,102,102,102,100,99,99,99,98,96,96,97,96,95,95,96,96,95,95,96,99,101,101,98,96,96,97,97,99,102,104,104,104,105,107,107,106,106,105,105,104,105,105,105,104,103,102,102,101,101,101,103,103,101,101,102,102,101,100,99,97,96,95,95,96,98,99,98,98,99,100,100,99,98,98,98,98,98,97,97,98,99,100,103,105,106,106,106,106,106,106,107,108,108,109,109,109,110,110,110,109,109,109,109,109,109,109,109,108,107,107,108,108,108,109,109,109,108,108,108,107,106,107,108,108,106,105,107,110,111,108,105,104,103,102,101,101,103,105,105,104,104,103,100,99,99,101,104,105,107,107,106,105,107,108,109,111,111,110,110,108,107,104,103,103,105,107,109,110,110,109,108,108,109,109,108,108,108,109,108,107,105,103,102,102,102,103,102,102,104,104,104,102,102,102,104,104,103,103,105,106,108,109,109,108,107,107,109,108,107,105,105,105,104,104,105,104,104,104,105,105,104,104,105,105,105,105,105,106,106,106,106,105,105,105,105,105,104,103,101,101,102,102,103,104,104,103,103,103,103,103,104,104,104,105,106,108,112,114,117,118,116,114,112,112,114,111,107,108,110,112,110,110,112,113,115,115,114,113,114,115,116,null],[90,89,89,89,89,88,88,88,87,87,88,89,91,93,93,91,89,88,90,90,89,86,85,84,84,84,84,85,84,87,88,86,86,88,90,89,88,88,88,87,88,89,90,91,91,91,92,93,93,93,92,91,92,95,99,101,100,96,93,92,91,90,88,89,89,89,88,89,92,95,97,97,97,97,97,98,91,91,89,89,87,86,86,88,92,92,91,91,93,95,97,98,99,99,100,101,100,100,100,100,100,100,100,99,98,98,99,101,99,96,96,98,102,104,106,108,108,104,98,94,96,97,97,98,99,101,103,104,102,101,100,97,96,98,98,96,95,91,87,86,88,91,94,96,97,96,94,94,96,98,100,102,102,102,103,103,103,101,101,102,101,100,99,99,99,98,96,97,98,100,102,104,105,105,104,102,101,101,100,98,97,96,93,91,90,88,88,89,92,94,94,93,93,94,94,93,93,95,99,102,102,101,101,103,103,103,103,102,101,100,99,99,101,105,106,101,96,97,101,105,106,102,97,95,97,100,99,97,100,103,102,100,98,97,97,99,99,98,97,96,96,96,94,94,95,96,97,97,97,100,101,99,96,95,97,98,97,97,100,103,104,104,103,105,106,107,106,105,104,102,102,103,104,104,103,103,103,102,101,102,104,102,100,100,102,102,101,100,98,96,96,96,96,97,97,97,97,97,98,99,100,99,98,99,99,99,99,99,99,99,99,101,104,106,107,106,105,106,107,107,107,108,108,107,107,107,108,109,109,109,110,109,108,108,107,107,108,107,106,106,107,108,108,108,109,110,111,109,108,107,106,107,108,107,105,106,108,110,111,109,108,105,103,100,98,98,100,104,106,104,103,102,100,97,96,98,102,104,106,108,108,108,109,109,109,110,110,110,108,107,108,107,105,105,106,106,107,108,109,109,107,107,109,109,108,107,106,107,108,108,106,104,102,101,101,101,101,101,102,103,103,103,104,105,105,105,104,103,103,105,107,108,110,109,106,106,107,108,107,105,104,104,104,104,104,104,104,104,105,105,104,104,104,105,106,105,105,106,105,104,106,107,107,107,105,104,103,103,102,101,102,102,103,104,104,103,102,102,102,102,102,102,103,104,104,107,110,114,117,118,116,114,111,112,113,110,107,109,112,114,112,111,111,113,115,115,113,112,114,115,116,null],[89,88,88,88,89,87,88,88,88,88,89,90,91,94,96,95,91,88,89,91,91,88,87,86,85,85,85,85,83,85,87,86,87,88,90,89,87,87,87,87,86,86,88,89,89,89,90,92,93,93,92,90,90,91,93,94,94,92,91,92,93,93,91,92,92,92,92,92,93,95,96,96,96,96,98,99,88,87,87,87,87,86,87,88,91,92,93,91,91,93,96,97,98,98,99,100,101,101,100,100,100,100,100,100,98,96,97,99,99,97,96,97,101,106,110,112,110,105,100,95,93,94,96,97,98,99,102,102,100,100,101,99,97,97,96,96,96,93,88,86,88,93,97,100,101,99,97,97,100,101,102,102,101,100,100,100,100,98,98,100,100,100,99,99,99,97,96,97,99,100,101,101,100,100,101,101,99,98,97,96,95,94,93,91,90,89,89,91,92,93,92,91,91,92,92,93,97,101,105,106,104,101,101,104,105,105,105,104,103,101,101,101,102,104,104,100,97,99,102,104,104,101,95,95,97,99,98,97,101,104,101,97,95,96,98,100,98,97,97,96,96,95,95,96,96,96,98,98,98,100,99,96,94,94,97,98,99,98,99,102,103,103,103,104,106,106,106,106,105,102,101,102,104,104,104,104,103,102,102,103,104,102,100,100,100,99,98,98,98,97,97,97,98,98,97,97,98,98,98,99,99,98,98,99,99,100,100,99,99,99,100,102,106,108,109,107,105,106,107,107,107,107,108,106,104,105,108,109,109,109,109,109,109,109,108,107,106,106,106,107,108,108,108,107,109,110,111,109,108,106,107,109,110,107,104,103,106,109,109,107,106,106,105,102,98,97,100,102,103,101,99,99,97,96,97,99,101,103,106,108,109,108,109,108,108,109,110,110,109,107,108,108,107,106,106,106,106,107,108,108,107,108,110,110,108,106,106,106,108,108,106,105,103,101,100,101,101,101,101,102,104,105,105,105,105,105,105,104,103,104,105,107,108,108,106,106,106,107,107,106,104,104,104,104,104,104,104,104,105,105,105,104,104,105,106,106,106,106,105,104,107,108,109,107,105,103,103,104,104,104,104,104,103,103,103,103,102,102,102,102,101,101,102,103,105,107,109,113,115,116,115,113,111,112,113,111,110,111,114,116,114,113,112,112,113,113,112,112,112,114,115,null],[86,85,86,87,87,88,88,88,89,89,90,89,90,92,96,98,93,89,87,89,92,91,90,88,87,86,85,85,85,85,86,87,87,87,88,87,86,86,86,86,86,86,87,87,88,88,88,90,91,92,93,91,89,87,87,89,91,91,90,90,92,93,95,94,94,95,95,95,95,94,94,95,94,91,90,89,87,86,86,87,87,87,87,88,89,90,91,90,89,90,93,96,97,96,96,99,101,101,100,100,100,100,100,99,97,95,95,97,99,99,97,97,101,106,111,114,111,107,102,96,90,92,97,97,97,99,101,102,100,100,102,100,98,97,96,96,98,95,90,87,91,97,102,103,103,102,99,99,100,101,102,102,101,100,101,101,99,97,96,97,97,97,97,98,99,98,98,99,99,100,100,97,94,95,98,100,100,98,97,96,94,93,93,92,91,89,89,90,92,92,90,89,89,90,94,98,103,106,107,106,103,101,101,102,102,102,102,103,103,104,104,103,102,101,99,98,99,101,102,103,104,100,94,94,97,98,98,99,102,104,101,97,95,97,100,101,98,95,95,96,96,96,97,98,98,97,98,98,98,98,98,96,95,95,97,98,99,99,100,101,102,103,104,105,106,105,105,106,106,104,103,104,103,102,102,103,103,102,103,103,103,102,101,101,99,96,96,98,99,98,97,98,100,100,99,98,99,99,98,99,99,98,98,98,99,100,99,98,98,99,101,103,107,109,109,107,105,104,105,107,108,108,108,106,104,106,109,110,110,109,108,109,110,111,109,107,106,106,107,108,109,109,108,108,108,109,109,108,107,107,108,110,110,108,102,100,103,106,106,103,102,105,106,106,103,101,101,101,100,98,96,96,96,97,100,101,100,102,105,108,108,108,107,106,106,108,110,110,110,109,108,108,107,106,105,106,107,107,108,108,109,110,110,110,108,106,106,107,108,108,107,105,103,101,101,101,101,101,101,102,104,106,105,104,104,105,106,106,105,104,104,106,107,107,107,107,106,106,106,106,105,104,105,105,104,105,105,105,105,105,105,105,105,106,106,106,106,106,105,105,107,108,108,107,105,103,103,104,105,106,106,105,104,103,103,103,102,102,103,103,102,101,101,103,105,108,109,111,113,114,114,112,111,112,114,113,112,113,115,116,115,114,112,111,111,111,112,112,111,111,114,null],[88,87,87,87,87,88,89,89,93,92,91,89,88,88,93,96,96,91,86,87,90,92,94,93,89,87,86,85,85,85,85,87,86,87,87,86,86,86,86,86,86,86,87,86,86,86,86,87,88,90,91,92,90,88,88,88,90,91,91,90,90,93,95,94,92,93,96,98,96,94,90,90,89,88,88,88,87,86,86,87,88,88,88,88,87,89,91,90,89,90,92,94,95,95,95,98,99,98,98,99,100,100,99,97,95,93,94,97,99,100,99,99,101,105,110,113,112,107,101,94,89,93,98,97,96,99,100,100,99,99,101,102,100,98,97,99,98,95,93,91,95,101,105,104,104,104,103,101,100,101,102,102,102,102,103,103,103,102,101,100,98,95,94,95,97,99,99,99,98,99,100,98,95,95,97,100,101,100,98,96,92,90,90,90,90,89,89,90,91,90,89,90,92,95,99,101,103,105,105,102,100,98,98,99,99,99,100,101,103,105,105,103,99,95,94,95,98,101,102,103,103,98,94,96,98,97,98,102,104,103,101,98,97,97,99,99,97,95,95,95,95,96,97,99,99,97,97,97,97,98,98,98,98,97,96,97,98,99,100,100,101,104,106,106,105,103,103,105,105,105,105,104,103,101,100,101,101,102,103,102,102,102,102,103,101,97,97,99,99,98,98,98,99,101,100,99,100,100,99,99,98,98,98,98,99,99,99,98,99,100,102,104,106,108,108,107,105,104,105,108,109,109,108,106,106,107,109,111,110,109,107,109,111,111,109,107,106,106,106,107,108,108,109,109,109,110,110,108,107,107,109,111,110,106,100,98,101,103,104,104,104,105,106,105,104,102,102,101,100,98,96,97,98,100,102,101,100,102,104,105,107,107,106,106,107,108,109,109,109,110,110,110,109,106,105,107,108,108,108,109,109,108,108,109,109,107,108,109,109,108,107,105,104,103,103,102,101,101,100,100,102,104,105,105,105,105,105,106,106,105,105,107,107,108,109,108,106,106,106,106,106,105,105,105,105,106,106,104,104,105,105,105,105,106,106,106,106,105,105,106,106,107,107,106,105,105,105,104,104,104,105,105,104,104,104,103,102,102,103,103,103,102,101,102,104,107,109,111,113,115,113,111,111,113,114,113,113,114,115,116,116,114,112,111,111,111,112,113,112,111,113,null],[88,87,87,87,88,89,90,90,94,93,92,90,88,88,90,93,93,91,86,85,88,91,94,95,90,89,88,87,86,85,85,87,85,87,86,86,86,86,86,87,87,88,88,87,86,86,86,85,86,87,89,90,90,90,90,90,92,93,93,92,92,92,94,93,90,89,94,98,96,92,87,86,86,86,87,87,87,87,87,87,88,88,88,88,87,88,90,90,87,88,90,91,92,92,93,95,96,95,96,96,97,97,96,94,93,93,95,96,98,99,100,100,101,104,109,111,111,107,100,94,90,93,97,98,97,99,99,98,99,98,99,102,101,98,98,100,98,95,93,94,98,104,106,105,104,105,105,103,100,100,101,101,102,102,103,105,106,106,106,104,101,98,94,94,96,97,97,97,99,100,100,100,99,98,99,100,101,102,100,96,91,88,87,87,87,88,89,90,91,91,92,94,97,98,99,99,100,100,100,99,99,98,98,99,99,99,100,102,104,105,105,101,96,93,94,96,99,101,103,104,100,96,94,97,99,97,99,103,104,102,101,101,101,99,98,97,96,95,95,96,95,96,97,98,98,97,97,97,96,98,100,101,100,98,96,96,97,98,100,101,102,104,106,106,105,103,103,104,105,105,104,104,102,101,99,99,100,100,101,101,101,102,104,104,102,99,99,100,98,97,98,97,98,100,100,99,100,100,100,99,98,98,98,98,99,99,99,99,100,102,104,104,106,107,107,107,106,106,107,110,111,110,109,108,108,108,109,110,110,109,108,109,111,110,109,109,108,106,105,106,107,108,109,109,109,110,110,109,108,108,109,110,108,103,99,100,102,104,105,106,106,105,105,105,104,102,100,102,103,102,100,100,101,102,101,100,100,101,102,103,105,107,107,107,108,109,109,108,108,109,110,111,109,108,107,108,109,109,109,109,109,108,107,108,109,109,109,110,109,109,107,105,104,104,103,102,101,100,99,99,100,103,106,106,105,104,105,106,106,105,105,107,108,108,109,108,107,107,107,107,107,106,105,105,106,106,106,105,105,105,105,105,105,106,106,106,105,105,106,106,105,105,105,104,105,106,105,104,103,103,104,105,105,104,104,104,103,103,104,105,105,104,103,103,103,106,109,111,113,115,114,112,112,113,113,113,114,115,116,116,115,113,111,110,111,111,111,112,113,113,114,null],[87,87,88,88,89,92,92,93,93,93,92,92,93,94,93,91,90,90,87,86,86,88,91,93,94,94,91,89,88,88,88,86,86,85,86,86,86,86,87,88,89,90,90,89,89,88,88,88,88,88,87,86,87,88,89,91,93,95,96,95,93,92,93,92,89,89,93,91,90,88,86,85,85,86,86,86,86,87,89,89,89,89,89,87,86,86,86,86,86,86,88,89,89,88,88,89,92,93,94,92,91,91,91,91,92,94,96,96,98,100,100,100,101,104,108,109,109,107,102,96,93,93,96,98,100,99,98,97,98,98,97,99,100,98,97,99,99,95,92,94,99,104,106,105,104,105,105,102,99,100,101,101,101,101,102,103,106,107,107,107,106,103,99,97,97,95,94,97,101,102,100,99,101,102,101,100,100,102,103,99,93,89,88,88,87,87,88,89,91,93,96,98,98,96,95,95,97,97,97,99,101,101,101,102,102,101,101,104,105,103,100,95,93,95,98,101,102,103,104,103,98,94,94,96,98,100,101,101,101,100,101,104,104,101,98,97,96,96,96,97,97,96,96,96,96,96,96,96,96,99,101,101,99,97,96,96,97,99,101,103,103,103,104,105,104,104,104,104,104,104,104,103,102,101,101,100,99,99,99,99,99,102,105,104,101,101,100,99,97,96,96,96,97,98,99,99,100,100,100,99,98,97,97,97,98,100,99,100,101,103,104,105,105,106,107,107,107,107,108,110,111,110,110,109,109,109,109,109,109,110,110,111,110,109,109,110,109,107,105,105,107,108,109,109,109,108,109,110,110,109,109,108,104,100,100,104,106,107,106,105,104,104,106,107,105,101,99,101,105,105,103,103,103,101,100,99,99,99,99,102,105,107,108,108,109,109,109,108,107,107,108,109,109,109,109,108,109,110,109,109,110,109,108,108,109,110,110,110,109,109,108,106,104,102,102,102,101,99,98,98,101,104,106,106,105,104,105,106,107,105,105,106,107,108,108,108,108,108,108,109,108,107,105,105,106,106,105,106,106,106,105,105,105,106,106,105,105,106,106,105,104,103,103,103,105,105,105,104,104,104,104,105,105,104,104,105,105,105,106,106,106,106,105,105,106,107,109,111,113,115,115,114,113,113,112,113,116,116,116,116,115,113,111,110,111,111,111,111,113,115,116,null],[87,88,89,91,92,93,94,95,94,92,92,95,98,100,97,93,92,90,87,86,86,86,88,90,93,94,94,92,90,88,88,88,86,85,86,86,85,86,88,89,90,91,91,91,91,92,91,90,90,91,89,88,86,88,90,88,89,90,90,90,91,91,92,89,89,89,90,90,89,87,86,85,86,86,86,86,85,85,86,86,86,86,86,86,86,86,86,86,86,86,86,87,87,87,87,90,92,89,89,89,89,89,88,89,92,96,99,100,101,102,103,103,103,104,106,107,107,106,103,97,93,93,95,100,101,100,98,97,97,97,96,97,98,99,98,98,100,97,93,94,100,104,106,105,104,104,103,101,100,101,103,103,102,101,102,104,105,106,106,107,107,105,101,101,101,98,97,97,99,99,98,99,102,104,103,101,100,100,101,100,98,97,96,93,91,90,91,92,92,93,94,95,93,92,93,95,97,98,98,100,102,102,102,103,103,102,103,104,104,99,94,91,93,97,101,103,103,103,104,103,98,94,94,96,100,102,102,100,98,99,103,106,105,101,98,98,98,97,97,97,96,96,96,95,96,96,96,96,96,98,100,100,98,97,97,98,99,99,101,104,105,105,105,106,105,104,103,103,104,105,104,103,101,102,102,101,100,100,100,99,98,100,104,103,101,100,99,98,98,97,96,95,96,99,100,101,101,101,100,98,97,97,97,98,99,99,99,100,103,105,105,105,105,105,106,107,107,106,107,110,110,109,109,110,110,111,111,110,110,111,112,111,110,108,109,110,110,108,105,104,106,108,109,109,108,107,108,110,112,112,110,106,101,101,104,107,108,108,106,104,102,102,104,107,107,104,101,102,105,104,103,103,102,102,100,99,98,97,98,102,105,107,108,108,109,108,108,109,109,108,108,108,108,109,109,109,110,110,109,109,111,110,108,107,108,110,110,109,109,109,108,107,105,103,102,101,100,99,98,99,101,104,106,106,105,105,106,107,108,106,106,107,108,107,107,108,109,108,108,109,109,108,106,105,105,104,104,105,106,105,105,105,105,106,106,105,105,105,105,105,105,104,104,104,105,105,105,105,104,104,104,105,105,104,105,105,106,106,106,106,107,109,109,109,109,109,110,111,112,114,115,115,114,113,111,113,114,115,115,116,116,114,112,111,111,112,113,113,114,115,116,null],[88,89,90,92,93,93,95,98,96,94,94,98,102,104,102,99,96,92,89,87,86,86,86,87,89,92,93,94,93,90,90,90,88,87,87,85,85,86,87,87,88,90,89,89,91,94,93,91,91,94,93,91,90,91,92,88,89,89,89,88,89,89,90,88,88,88,89,89,89,88,88,88,88,88,88,87,87,87,87,88,87,87,87,88,88,88,88,88,88,87,87,87,87,88,93,95,95,88,88,88,89,90,91,93,96,98,101,103,104,104,106,106,104,103,104,105,106,106,102,96,92,93,96,100,101,100,99,98,98,97,96,96,97,98,98,98,99,98,95,96,100,105,106,105,105,103,102,100,102,104,106,106,104,103,104,105,106,105,106,107,106,103,102,104,105,104,102,100,97,96,97,98,100,102,103,102,101,100,99,100,101,101,101,99,96,96,97,97,95,92,91,91,90,91,94,97,98,98,98,100,101,102,102,103,103,102,101,101,98,94,91,91,95,100,102,103,102,102,103,102,98,95,96,99,102,101,100,99,98,100,105,107,104,101,98,99,99,98,97,96,95,95,95,95,96,96,96,96,97,98,98,97,97,97,99,101,100,100,102,103,104,105,106,106,105,103,103,102,103,105,104,103,101,102,102,101,101,101,102,99,97,98,102,102,101,99,98,97,98,98,97,97,98,100,102,102,102,101,100,98,98,98,98,99,100,100,99,100,103,106,107,106,105,105,106,107,107,106,106,108,109,109,109,110,111,113,112,110,110,111,111,110,109,107,108,109,109,107,105,104,106,108,109,108,107,106,108,110,112,113,110,103,100,104,107,109,110,108,106,104,102,101,103,106,107,107,105,104,103,103,103,102,102,102,101,99,98,98,99,102,104,105,106,107,108,107,107,110,111,110,109,108,108,108,109,110,110,110,109,109,111,110,109,108,109,110,109,109,109,108,107,106,105,103,102,101,100,100,99,100,102,103,104,105,106,107,107,108,108,107,108,108,108,108,107,108,109,108,108,109,109,109,107,105,104,104,104,105,104,104,105,105,105,106,106,106,105,104,105,105,105,105,105,105,105,105,105,105,104,105,105,105,105,105,105,105,106,106,106,106,107,109,111,111,110,108,108,110,111,113,115,116,114,112,111,111,112,113,114,116,117,115,113,112,112,113,115,115,115,114,115,null],[92,92,93,95,94,93,96,100,99,97,98,101,105,107,107,105,102,99,95,92,88,86,86,86,87,89,90,91,91,92,93,93,92,90,88,86,85,86,86,86,87,87,86,87,90,94,94,91,90,92,94,93,92,93,94,92,91,90,90,89,88,88,87,87,89,95,94,95,98,98,94,92,90,89,89,90,91,91,90,91,95,95,94,92,97,97,91,91,90,90,89,89,89,90,91,92,93,91,92,96,96,98,100,101,101,101,101,103,104,105,107,107,104,102,101,102,105,105,100,93,91,93,96,99,99,98,99,100,99,98,95,93,94,96,98,98,98,98,98,99,102,107,108,105,105,103,102,103,105,107,107,107,106,106,107,106,106,105,106,107,107,104,103,104,106,106,105,102,100,99,98,96,96,97,100,101,103,103,101,99,98,98,99,99,100,102,102,101,98,96,94,93,94,96,97,96,95,95,95,96,99,102,104,103,102,98,95,93,93,93,94,96,100,103,104,103,103,104,103,101,97,97,100,102,102,100,99,99,101,104,106,106,103,101,99,99,99,98,97,95,95,94,94,95,95,96,96,97,98,98,97,97,96,98,101,102,101,101,101,100,102,103,104,104,104,103,103,103,103,103,103,103,103,102,100,99,100,101,101,99,97,98,100,101,100,100,99,97,96,97,98,100,101,100,101,102,101,100,99,99,99,100,99,98,100,101,102,102,103,106,106,105,105,106,106,107,107,106,105,106,108,109,109,109,111,113,112,109,108,110,110,109,107,107,108,107,107,106,106,105,106,107,108,107,107,107,108,110,110,109,106,102,101,104,107,110,112,109,106,104,103,103,104,106,106,106,106,104,103,102,103,103,102,101,101,100,98,98,100,102,103,104,105,106,106,105,106,109,111,110,109,107,108,109,110,111,110,109,109,109,109,109,109,110,110,109,108,108,109,108,106,106,105,103,101,101,101,101,100,101,103,104,104,104,106,107,107,106,107,108,109,108,109,110,110,110,109,109,108,108,109,110,108,105,104,105,106,106,105,104,105,105,105,105,106,106,106,105,105,105,105,105,105,105,105,105,104,104,105,106,106,104,104,106,106,105,106,107,108,108,108,108,108,109,108,106,106,107,110,112,114,115,114,112,111,111,110,111,114,116,117,116,114,113,113,114,115,115,114,114,114,null],[95,96,97,96,96,95,97,100,101,101,102,104,105,108,109,108,106,105,103,100,95,90,90,87,86,87,92,92,90,91,92,93,93,93,90,88,87,87,87,86,87,87,86,86,89,93,93,92,91,92,92,92,93,95,95,93,92,91,91,91,90,89,88,88,89,93,94,95,95,95,95,95,93,93,94,95,95,95,94,94,96,98,98,96,100,100,95,94,94,93,93,93,93,94,94,95,96,96,98,101,100,102,105,105,103,101,101,102,104,106,107,106,103,100,101,102,105,105,98,92,90,92,95,97,96,95,97,99,100,98,96,94,94,96,97,97,96,95,96,99,104,108,107,105,105,105,105,106,107,107,107,107,107,108,108,108,106,105,106,107,107,105,104,104,106,106,106,104,103,102,102,99,96,95,96,98,101,104,105,103,99,96,96,98,100,103,103,102,101,99,97,97,99,100,98,94,93,94,94,95,99,102,101,99,97,93,89,89,92,97,100,102,103,105,105,104,104,104,102,98,98,101,103,102,100,98,97,99,103,106,105,102,100,100,99,98,98,98,97,95,94,93,94,95,95,96,96,97,98,99,100,98,97,98,100,101,100,99,99,100,102,104,104,104,103,103,103,103,103,103,103,103,103,101,98,97,98,100,99,98,98,100,101,100,100,101,100,97,95,96,99,101,101,100,100,100,100,99,99,99,99,99,98,99,102,105,104,103,103,105,106,105,105,106,107,108,107,106,105,106,107,109,109,109,109,110,110,108,108,109,109,107,105,107,108,107,106,106,107,107,107,108,109,108,107,108,108,108,105,103,101,102,104,107,109,111,112,109,104,102,103,104,105,107,107,106,105,103,103,103,104,104,103,101,101,101,100,100,101,102,103,103,105,105,104,104,105,107,108,109,109,108,108,109,110,109,109,109,109,109,109,109,110,111,111,109,108,108,107,107,106,105,104,102,101,101,102,103,102,103,104,105,104,104,106,107,105,105,106,108,109,108,109,109,109,108,109,109,109,108,109,110,109,107,107,107,108,107,105,104,105,105,105,106,107,108,108,107,105,105,106,106,105,105,105,105,104,104,105,106,106,105,105,106,106,106,107,109,110,110,109,108,105,105,105,105,104,106,110,112,114,115,114,112,112,112,113,113,113,115,115,115,114,113,113,114,114,113,113,115,114,null],[96,98,98,98,98,98,99,99,102,104,105,105,105,106,106,107,107,109,110,108,103,99,97,89,88,86,86,87,88,92,90,90,91,91,92,91,90,89,89,89,89,89,89,89,91,92,92,94,94,94,92,91,92,95,95,92,92,94,95,94,93,93,93,89,88,89,90,91,90,93,96,95,94,96,99,100,98,98,97,98,99,100,100,100,102,101,98,97,97,97,98,99,100,100,99,99,100,102,104,103,101,102,105,104,100,99,100,101,106,109,109,105,102,100,102,104,105,103,98,92,89,90,93,96,96,95,95,97,98,98,97,95,95,96,97,96,95,93,94,99,105,107,106,104,104,106,108,107,107,106,106,107,107,108,109,108,107,106,106,107,107,106,106,105,105,105,106,105,104,103,104,104,102,98,95,95,97,101,104,106,104,100,97,97,98,100,102,102,102,100,98,97,99,99,96,93,94,95,96,97,98,98,95,92,91,89,88,91,96,101,103,103,102,102,102,102,103,103,99,98,102,105,103,100,98,97,97,100,103,104,101,99,97,98,98,97,97,97,97,95,95,94,94,95,95,96,96,95,96,99,101,100,98,97,98,98,98,98,98,101,104,106,106,104,102,103,103,103,103,103,102,102,102,99,98,98,99,99,96,95,99,102,102,101,99,99,99,98,97,97,99,99,100,101,100,99,99,99,99,99,98,97,98,101,105,107,106,104,103,105,106,106,106,107,109,108,107,107,107,107,109,110,109,108,108,109,109,109,109,110,109,107,105,107,108,108,106,106,107,108,109,109,110,110,108,107,106,104,102,99,99,103,107,111,112,112,109,106,103,101,102,104,106,107,107,106,104,102,102,104,104,104,103,103,102,102,102,102,102,103,103,103,105,106,104,104,104,104,105,107,108,108,108,108,108,107,107,108,110,110,109,109,110,111,111,109,108,107,105,105,105,104,104,103,102,102,103,103,104,105,105,106,106,105,106,106,105,105,106,108,108,107,107,106,105,105,107,109,109,108,109,110,109,109,109,110,110,109,106,105,105,105,105,107,108,108,108,108,106,105,107,107,106,104,104,105,105,105,105,105,106,107,107,106,106,107,109,110,111,112,111,108,106,104,104,105,105,106,109,111,113,114,114,114,113,114,116,115,114,113,113,114,114,114,114,114,114,112,114,116,116,null],[98,99,99,99,100,102,102,102,104,106,106,106,105,104,104,105,107,110,112,111,107,106,104,99,97,96,87,86,86,88,88,88,89,88,89,89,89,91,91,91,91,91,92,92,93,94,94,94,94,93,91,90,91,94,96,94,93,95,97,96,94,94,95,95,94,91,92,92,92,92,93,93,92,93,97,98,97,97,98,101,102,102,101,101,102,102,99,98,96,96,97,99,99,99,99,100,100,101,102,103,104,104,105,102,96,96,98,101,107,112,111,106,104,103,104,105,104,101,97,89,88,87,92,96,98,97,95,95,97,98,98,97,96,97,97,96,95,95,97,101,105,106,105,104,103,105,108,109,108,107,107,108,108,107,108,108,107,107,107,106,106,107,106,105,104,105,106,106,104,103,105,106,105,102,100,99,98,98,99,101,104,104,102,99,97,97,99,101,102,102,101,100,99,98,95,93,92,93,94,95,94,93,91,90,92,92,93,96,100,102,103,101,99,97,98,100,102,102,101,102,104,104,101,99,98,100,101,102,102,101,101,99,97,97,97,96,96,96,97,97,97,96,95,94,95,96,95,95,96,97,99,99,98,97,96,96,97,98,99,102,104,106,106,104,102,102,102,102,102,102,102,101,101,98,97,98,99,97,95,95,98,100,99,100,100,99,99,100,100,99,97,98,99,101,102,101,100,100,100,99,98,99,101,105,108,109,108,106,105,107,108,106,107,108,109,108,107,108,108,108,109,110,110,109,109,109,110,111,110,109,108,107,105,107,108,107,105,106,107,109,110,111,112,112,109,106,103,102,102,103,103,106,110,113,113,111,107,105,102,100,101,104,106,106,107,106,104,104,103,102,102,103,103,103,103,104,104,103,102,103,103,104,106,106,105,103,102,102,104,105,106,107,109,108,107,107,107,108,110,110,108,108,110,110,111,110,108,106,104,103,104,104,105,105,105,104,103,103,104,106,106,106,105,104,105,106,106,106,107,107,107,106,106,105,102,102,104,107,109,109,109,109,109,109,109,111,112,110,108,105,104,104,105,107,108,107,108,108,107,106,106,106,105,105,104,105,105,105,105,105,105,107,107,106,107,109,110,111,112,112,112,110,108,107,106,106,105,105,108,110,112,113,115,115,114,114,116,116,115,113,113,113,114,115,115,116,115,114,115,117,117,null],[101,101,101,101,100,101,103,104,106,106,106,106,106,104,103,104,106,108,109,108,108,109,107,103,102,102,91,89,88,88,87,87,87,88,86,87,88,90,92,91,91,92,93,94,94,96,96,95,93,92,90,89,89,91,93,92,92,94,96,96,94,95,97,98,97,96,95,93,92,92,91,91,90,89,90,92,93,94,97,100,102,101,100,99,100,100,101,99,98,98,98,99,99,99,100,100,99,97,98,102,106,105,102,98,94,94,98,102,109,113,111,107,104,102,103,104,103,100,95,88,88,87,90,95,98,99,96,94,95,97,97,97,96,96,96,96,95,96,100,103,104,105,104,103,102,104,107,108,108,108,108,109,108,107,107,108,107,107,107,106,107,107,105,104,104,105,106,106,105,104,104,105,105,104,104,104,102,100,97,98,101,104,104,102,98,97,98,100,101,103,104,103,101,98,97,96,94,93,93,93,92,91,90,92,96,97,97,98,99,98,98,96,94,94,96,101,103,103,104,106,104,101,100,99,99,102,104,104,102,101,102,101,99,97,97,96,96,96,97,97,98,97,95,94,95,96,96,95,95,96,96,96,96,95,94,94,97,99,100,102,103,104,104,103,102,101,101,102,102,102,101,100,99,97,97,98,99,98,97,97,98,98,97,98,100,100,101,102,101,98,96,98,101,102,102,102,101,101,100,99,99,103,106,108,109,109,108,107,106,107,108,107,106,107,107,107,107,108,108,108,108,109,110,109,109,110,111,111,110,108,107,105,104,105,106,105,106,107,108,109,111,111,111,111,108,103,100,101,105,108,108,109,111,113,113,109,105,103,101,102,102,102,103,104,106,106,105,105,104,102,101,100,100,102,104,105,105,104,103,103,104,105,106,107,106,102,99,100,102,103,104,106,109,109,109,109,108,108,110,111,109,109,111,110,110,110,109,107,105,103,103,104,106,106,106,105,103,103,104,105,105,105,104,104,105,106,107,107,107,106,106,106,106,104,101,101,102,105,107,108,108,108,109,108,108,111,112,111,108,106,104,105,106,108,108,107,107,108,108,106,105,105,105,105,105,105,105,105,105,105,105,106,107,108,108,109,109,110,112,112,112,112,111,111,109,107,106,105,106,108,110,112,114,115,114,114,115,116,116,114,113,113,114,116,116,118,117,117,117,117,117,null],[102,104,104,102,100,99,101,103,104,105,105,106,106,105,105,105,105,105,105,106,107,109,109,105,103,103,101,100,98,90,89,88,86,86,86,87,88,90,90,89,89,91,92,93,94,94,95,95,94,92,90,88,86,86,86,87,89,91,94,94,95,98,101,101,100,99,98,95,93,94,91,89,88,88,88,87,89,90,92,93,96,97,97,97,97,98,99,100,101,102,101,101,100,101,100,98,96,94,96,102,104,102,97,94,94,96,100,106,111,112,109,103,99,98,99,102,102,98,93,87,88,88,89,93,97,98,96,94,93,94,96,97,95,94,95,95,94,96,102,104,104,105,104,103,103,105,107,108,109,108,107,107,107,107,107,107,107,107,107,107,107,106,104,103,103,104,105,105,106,105,105,105,104,104,104,105,106,104,102,101,101,101,102,104,103,101,100,99,99,102,104,104,102,100,100,100,99,98,97,96,94,93,93,95,97,97,95,94,93,93,93,93,93,95,99,104,106,106,105,103,101,100,101,99,99,102,104,104,103,103,104,102,100,98,97,97,97,98,97,97,97,96,96,96,96,96,96,95,95,96,97,96,95,94,93,93,96,99,101,102,103,103,102,101,101,101,100,101,103,102,102,101,98,97,97,97,98,99,100,100,101,100,100,99,99,99,101,102,100,97,96,99,102,101,101,101,101,100,100,99,101,107,110,110,109,108,107,106,105,106,106,106,105,105,104,106,107,107,107,108,108,109,109,109,109,110,110,109,108,106,105,104,103,103,104,105,107,109,108,107,109,109,109,108,104,98,98,102,105,108,110,110,111,113,112,107,102,99,99,103,104,101,100,102,105,107,107,106,105,104,101,98,97,100,102,103,103,104,104,105,105,105,106,106,105,100,97,97,99,101,104,106,108,110,111,111,109,108,109,110,110,111,113,110,108,108,109,108,106,104,104,105,106,107,106,105,104,103,103,103,103,104,105,106,105,105,106,107,107,105,105,105,105,103,102,103,105,105,104,105,106,107,108,108,109,111,111,109,108,108,106,107,108,109,109,108,108,108,107,107,107,106,106,106,106,106,106,105,105,105,106,108,109,110,110,110,109,111,113,113,112,112,113,114,112,109,107,106,105,105,106,109,112,114,115,114,114,116,118,116,114,113,114,116,116,116,116,117,117,117,116,null],[103,102,101,99,97,98,100,103,106,106,105,105,105,104,105,106,105,104,104,105,106,107,107,106,104,104,105,104,100,94,92,90,89,88,87,86,90,89,87,86,87,88,90,91,91,92,93,94,93,91,89,88,87,85,84,85,87,88,89,90,92,95,98,100,102,103,101,98,95,94,91,90,89,88,88,87,86,88,89,89,89,91,92,93,93,93,94,96,99,100,99,98,99,100,99,98,97,96,97,100,99,95,93,95,99,101,103,107,109,107,104,100,96,95,97,100,98,93,90,87,87,89,92,98,99,97,95,93,92,93,95,96,94,92,92,92,91,94,100,102,103,104,105,105,105,105,107,108,109,107,106,106,107,107,107,107,107,107,106,106,106,106,105,104,103,103,104,105,105,105,106,105,104,103,105,106,107,106,106,105,104,102,101,103,104,103,102,99,98,99,101,103,103,102,103,103,103,102,101,99,97,96,95,95,96,96,95,93,93,93,95,96,97,100,104,106,107,106,103,100,98,98,99,101,102,103,103,103,103,104,104,102,100,98,97,96,97,97,97,97,96,95,96,96,96,96,96,95,95,96,97,96,94,93,92,94,97,99,101,101,101,101,101,101,100,100,101,101,100,101,101,100,98,97,97,96,97,99,101,102,101,101,101,100,99,99,100,100,98,97,98,100,102,102,101,100,100,100,101,101,102,107,110,109,108,107,106,106,106,106,107,107,106,105,104,105,107,107,107,108,109,110,110,109,110,110,109,107,106,106,105,103,101,102,104,106,109,110,109,107,108,107,105,104,102,100,101,105,107,109,110,111,111,111,110,105,100,97,99,105,107,101,98,101,103,106,108,107,106,105,102,98,96,98,101,101,101,102,104,106,106,105,106,106,103,100,96,96,98,101,105,107,109,110,112,112,110,109,110,110,109,111,112,110,108,107,109,110,107,105,105,106,108,108,106,104,105,105,103,103,103,104,105,106,105,103,104,106,107,106,105,105,105,104,103,104,105,104,103,103,103,105,106,107,109,110,111,110,110,109,108,109,110,110,109,108,108,109,109,109,108,107,105,106,106,106,107,107,107,108,109,110,110,111,112,111,111,112,114,113,112,111,113,115,113,110,108,107,105,104,105,107,110,113,115,115,115,116,117,116,115,114,115,115,115,115,116,116,116,117,117,null],[101,99,98,97,98,99,101,105,108,108,106,105,103,102,103,105,104,104,106,107,107,105,105,106,106,106,107,106,105,102,101,101,99,91,89,88,88,86,86,86,86,86,88,88,89,89,90,90,90,89,89,89,88,87,87,87,87,87,86,87,88,89,91,94,98,102,103,100,98,95,93,92,92,92,92,89,89,89,89,90,88,88,88,89,89,89,89,91,93,94,94,95,96,96,96,97,99,99,99,99,96,94,96,100,103,104,103,103,102,100,99,98,95,96,98,97,93,88,87,87,88,91,97,103,103,98,94,93,93,95,95,95,94,92,91,89,90,95,100,101,102,105,106,107,106,106,107,108,109,108,107,107,107,107,107,107,106,105,105,104,105,106,106,104,103,103,104,104,104,106,107,106,105,105,106,108,107,106,106,106,107,106,104,103,103,103,101,100,98,98,99,100,101,102,103,104,103,103,102,100,98,98,97,96,95,96,97,98,98,98,99,101,102,104,106,106,105,104,101,99,98,97,98,102,105,104,102,102,102,102,101,101,99,97,95,95,96,97,97,97,96,95,95,96,96,96,95,94,95,96,96,96,94,93,93,94,97,100,102,102,100,99,100,101,100,101,100,99,98,99,99,99,97,97,97,96,96,98,100,101,101,100,100,100,99,98,98,97,97,98,99,101,102,103,102,101,99,100,101,100,102,105,108,108,108,107,105,106,107,107,108,109,108,107,106,107,108,107,107,108,110,112,110,110,110,109,108,106,105,106,105,103,103,104,107,110,111,111,108,106,105,104,101,100,101,103,105,107,108,110,111,112,112,110,108,103,98,97,101,107,106,101,98,100,101,103,107,108,107,105,102,99,98,99,100,100,100,100,102,106,106,106,106,105,103,100,97,97,99,102,107,109,110,110,111,111,111,110,110,110,109,110,111,110,108,107,109,110,108,106,106,107,108,108,106,104,105,106,104,104,104,104,104,105,104,102,101,104,107,107,106,105,104,104,103,103,104,104,104,103,103,103,104,105,107,108,109,111,111,111,110,110,111,110,109,108,108,109,111,111,109,106,105,106,107,107,108,109,109,110,111,110,110,111,111,112,113,114,114,113,112,112,113,114,113,111,109,108,107,107,107,106,108,112,114,116,116,115,115,115,116,116,116,115,114,115,116,115,116,117,118,null],[98,98,99,101,102,102,102,104,107,108,107,105,103,101,101,103,103,105,108,109,108,106,105,106,107,107,106,108,109,107,106,105,103,99,96,93,89,88,87,86,86,86,86,86,87,87,88,84,85,89,89,88,86,87,89,89,88,88,88,89,89,88,88,90,92,96,98,100,100,99,97,95,93,92,92,91,90,91,92,92,89,88,88,87,88,88,88,89,90,91,93,94,93,92,93,94,95,96,97,98,99,100,103,104,103,100,97,95,96,98,99,98,97,99,100,95,91,88,87,88,91,96,101,104,103,98,93,92,94,95,96,96,95,93,91,90,91,96,102,105,106,107,107,107,106,106,107,108,107,107,108,108,107,106,106,106,105,104,104,104,104,104,105,105,104,103,103,104,105,106,108,109,108,107,107,107,108,107,107,106,105,106,107,106,105,104,101,100,101,100,98,97,98,101,103,104,104,104,104,102,99,98,98,98,98,98,100,102,102,100,101,103,105,105,104,103,103,103,101,99,97,97,100,104,106,105,103,102,102,101,101,100,98,96,95,96,96,96,97,98,98,97,97,97,96,95,94,94,95,96,96,95,95,95,95,95,98,101,103,103,101,100,101,101,102,101,100,98,98,98,98,97,96,96,96,95,96,98,100,101,102,100,99,99,99,97,95,95,97,99,101,102,101,101,101,101,100,100,100,99,100,104,107,108,109,107,106,105,107,109,109,108,108,108,109,109,108,106,107,109,111,111,109,109,108,107,106,104,104,103,102,103,107,110,112,113,112,109,105,101,100,100,100,99,99,101,104,107,109,110,111,112,112,111,107,102,98,100,104,106,103,99,98,99,99,100,105,108,107,105,102,102,101,99,98,98,100,99,101,105,107,107,106,104,102,99,97,97,99,102,106,108,108,110,111,112,111,110,109,109,110,112,112,111,109,108,109,109,109,109,108,107,107,107,105,103,104,104,104,105,105,103,103,104,104,102,101,103,106,106,106,105,104,104,103,103,105,104,104,104,103,102,103,103,104,105,107,109,112,113,112,112,113,112,110,109,108,108,109,108,107,106,106,107,108,110,110,109,109,107,107,107,108,110,110,111,113,114,113,113,112,113,115,115,113,109,107,108,110,110,109,107,107,110,113,115,116,115,115,115,117,117,116,115,115,116,116,116,116,117,118,null],[99,100,102,104,106,105,103,103,105,106,104,102,101,102,102,102,105,107,107,108,108,106,105,105,107,107,107,109,111,109,107,107,105,101,99,98,93,92,91,89,88,88,88,87,87,87,87,85,85,89,89,88,87,86,87,87,87,87,87,88,89,88,88,87,88,89,92,95,97,98,99,97,95,93,92,92,92,92,94,93,89,89,88,87,89,88,87,88,89,89,91,93,94,93,93,93,92,92,93,96,100,102,103,101,97,95,93,93,96,99,101,101,100,100,98,92,89,88,88,90,94,99,102,104,102,97,92,91,94,97,98,98,95,93,92,93,96,101,105,108,109,108,108,107,106,106,107,107,106,106,108,109,107,105,105,104,104,103,104,105,104,103,104,104,104,103,103,104,106,107,107,109,110,109,108,107,108,108,107,105,104,106,107,108,108,107,105,103,104,104,102,100,98,99,100,102,103,104,105,104,103,101,101,102,101,101,103,105,105,103,102,103,104,103,102,101,101,100,99,98,99,100,103,104,104,104,103,102,101,101,99,98,97,96,97,98,97,96,97,99,99,98,98,97,96,94,94,95,95,96,96,95,95,95,94,96,99,102,104,103,102,102,102,102,102,100,99,97,98,99,98,96,96,95,95,95,96,98,101,102,102,101,99,99,99,98,96,96,98,100,102,102,101,100,100,100,100,100,99,99,102,105,108,108,109,108,106,104,105,107,107,107,108,109,110,109,107,106,107,109,109,109,108,107,106,105,106,106,105,102,100,103,111,114,113,111,108,104,100,98,98,100,102,102,100,99,101,105,109,111,113,112,112,112,106,100,100,103,105,105,100,98,98,99,100,100,103,107,108,105,104,105,104,100,98,96,98,100,102,105,106,107,107,105,102,99,97,98,99,102,106,108,108,110,111,112,111,110,109,109,111,113,113,111,110,110,109,110,111,111,110,108,107,107,106,105,105,105,104,105,105,104,104,105,105,104,104,105,107,106,106,105,105,104,103,104,106,104,104,104,102,100,101,101,102,103,104,106,110,112,112,112,113,112,111,110,109,109,109,108,107,107,108,108,108,109,109,108,107,104,103,102,104,107,107,107,111,112,113,113,114,114,115,115,112,109,107,108,110,111,109,107,106,108,112,114,115,115,115,116,117,117,115,115,117,117,116,116,117,117,116,null],[102,102,101,102,103,103,103,102,103,103,100,99,100,105,105,105,107,108,105,106,106,106,104,104,106,108,109,109,108,107,107,106,103,102,102,103,105,104,102,101,98,96,91,90,89,88,88,88,87,87,87,87,88,87,85,86,87,86,85,85,87,87,87,88,89,89,88,88,90,93,95,96,96,95,94,93,92,92,92,93,93,94,92,88,87,86,86,86,87,88,90,92,93,94,95,94,92,91,92,94,96,95,94,93,94,96,98,99,100,102,104,104,102,97,93,90,89,88,90,93,98,101,103,104,100,93,90,92,96,99,100,99,95,91,93,98,102,105,108,109,109,109,109,108,107,106,107,107,107,106,106,106,106,105,104,104,103,103,104,105,105,104,104,103,103,104,104,104,105,105,105,107,109,110,108,108,108,108,107,106,106,107,108,107,107,109,109,108,107,107,106,104,102,99,99,100,101,103,105,105,106,105,105,105,103,102,104,107,108,106,103,101,101,101,101,101,100,98,96,98,102,104,103,102,101,100,99,99,99,99,97,96,97,98,98,98,97,96,96,97,98,98,98,97,96,96,96,96,96,97,97,96,95,94,94,96,99,102,102,102,101,102,102,102,100,98,98,98,100,101,100,98,96,95,95,95,96,97,100,102,102,101,101,102,102,100,99,99,100,100,100,101,101,100,99,99,99,100,101,104,107,108,107,107,108,107,104,103,103,104,104,106,107,108,108,107,106,107,109,108,108,107,107,107,106,106,107,109,108,104,99,102,109,112,108,103,100,98,98,99,102,104,106,107,106,103,100,101,108,114,114,112,112,111,105,100,100,104,105,103,100,97,98,100,101,102,103,106,108,108,107,107,105,101,98,96,96,100,102,105,106,107,108,107,104,102,100,100,101,104,108,110,110,110,110,110,110,110,110,110,110,111,112,111,110,110,110,110,112,112,111,109,109,109,108,108,108,107,106,106,106,107,107,107,106,106,107,108,108,107,107,107,106,104,104,105,106,104,103,102,100,98,98,101,104,105,105,105,107,110,111,111,111,111,111,110,110,111,110,110,110,110,110,109,107,106,106,105,105,103,101,100,102,104,103,104,108,111,113,114,115,114,114,113,113,110,109,108,108,108,107,107,107,108,110,112,114,116,116,115,116,116,114,115,117,117,116,116,116,116,114,null],[103,103,101,99,100,101,101,101,100,100,100,101,103,108,108,106,107,107,105,105,105,105,104,103,104,106,106,106,105,107,107,105,102,101,104,106,107,108,106,104,102,100,99,98,97,97,96,96,95,94,94,96,97,93,88,89,90,88,87,87,87,87,87,88,88,87,85,85,87,89,91,92,93,93,92,91,92,92,91,92,94,96,95,94,92,90,86,86,86,87,88,89,91,93,94,95,95,94,95,96,95,94,93,94,97,100,103,104,104,103,103,102,98,93,90,89,88,88,91,96,100,102,104,103,97,91,91,94,96,98,98,95,92,92,96,102,106,108,108,107,108,108,108,107,106,106,106,106,106,106,106,105,105,105,104,104,103,103,104,104,105,105,103,102,103,104,104,104,103,103,103,104,107,108,108,108,107,106,106,106,107,109,109,106,106,108,109,109,107,107,107,106,105,103,100,99,99,100,101,103,105,106,108,108,105,104,105,106,106,105,102,100,99,99,100,101,101,101,101,103,104,103,101,100,99,98,97,97,98,98,97,97,97,98,98,97,96,96,96,96,97,98,98,98,98,98,97,96,96,97,97,96,93,92,93,97,100,101,100,98,99,101,103,101,99,99,99,99,100,102,101,98,96,96,95,94,94,96,98,100,100,100,100,101,103,102,101,100,98,97,99,101,102,101,100,100,100,102,104,108,110,109,107,106,107,106,103,103,104,104,104,105,106,106,105,105,106,107,109,108,107,105,106,107,108,108,110,111,109,104,98,100,105,106,101,99,98,99,100,102,106,108,109,110,110,107,102,102,108,113,113,112,111,109,103,99,101,104,103,103,101,99,98,99,101,103,104,106,108,110,109,107,105,103,100,97,97,100,103,104,104,105,106,106,104,104,103,103,104,107,110,110,110,110,110,109,109,111,111,111,110,109,110,112,112,109,109,110,112,113,113,112,111,110,110,110,109,108,107,107,108,108,108,108,107,106,106,107,109,109,109,108,108,106,104,104,105,104,102,100,99,99,101,104,108,109,109,108,108,108,109,110,111,111,111,110,110,110,110,110,111,111,109,108,106,104,104,104,104,103,102,101,102,103,104,105,109,112,113,114,114,115,114,113,113,112,110,108,107,107,106,107,108,110,110,112,114,117,117,115,114,114,113,114,116,117,117,116,115,115,114,null],[101,101,99,97,97,99,100,101,101,102,103,105,107,108,107,106,106,106,105,104,104,105,105,104,104,103,103,103,106,108,108,105,101,102,105,107,106,107,108,106,104,103,102,102,100,101,101,101,100,101,101,103,104,100,96,96,97,95,92,92,93,92,91,91,90,89,89,91,92,92,91,90,90,89,90,90,90,90,91,91,93,95,96,95,94,92,88,87,87,87,87,87,88,89,91,94,95,96,98,99,98,97,98,100,101,103,104,105,103,100,98,95,92,89,88,88,88,89,92,98,101,103,102,99,93,90,92,96,96,94,93,91,91,96,101,105,108,108,107,106,106,107,107,106,105,106,106,105,105,106,105,104,104,105,105,104,104,103,103,104,105,104,102,101,102,103,104,104,103,102,102,103,105,106,106,106,105,104,105,106,108,109,108,106,105,106,106,107,107,106,106,106,106,106,103,101,100,100,99,100,100,102,105,107,106,104,103,103,102,101,99,98,99,99,99,101,104,107,108,106,104,100,98,98,98,97,96,96,97,98,98,97,97,97,97,97,96,96,96,97,98,98,98,98,98,98,97,96,95,94,95,95,94,93,96,99,100,99,97,95,96,100,102,101,100,100,101,100,99,99,100,99,96,96,95,94,94,97,99,99,99,99,99,100,102,102,100,97,96,96,97,101,103,102,101,102,103,104,107,109,109,108,107,106,106,105,104,105,107,106,104,103,103,104,104,104,105,107,108,108,107,107,107,108,109,109,109,109,106,102,99,100,103,102,100,100,102,104,104,105,109,110,110,111,112,111,106,103,107,110,111,111,110,106,100,98,102,104,102,103,103,100,98,98,99,100,102,105,108,110,109,107,105,104,102,100,99,101,103,103,104,105,105,104,104,105,106,106,107,108,109,109,109,110,110,109,110,111,113,112,109,108,109,112,112,109,108,109,110,112,113,113,113,111,111,111,109,107,108,109,109,108,109,110,108,106,105,106,108,109,109,109,109,108,104,102,103,104,103,101,101,102,106,110,112,112,112,112,110,108,107,109,111,111,111,111,111,110,110,110,111,110,107,106,106,105,105,104,104,104,103,103,103,104,106,109,112,113,114,113,113,115,115,113,112,112,110,109,108,107,107,109,111,112,112,112,114,117,118,116,114,113,113,114,115,116,117,115,115,115,115,null],[100,100,97,95,95,97,100,102,105,106,107,106,107,107,105,104,105,106,105,103,102,104,107,106,105,102,101,104,108,109,107,104,102,104,107,107,106,107,107,105,104,105,105,104,102,102,104,105,105,105,106,107,106,104,102,102,103,103,102,101,101,100,99,99,99,99,99,99,99,99,97,95,92,90,91,91,90,89,90,91,93,94,95,96,95,94,93,91,88,88,88,88,88,89,89,90,91,93,96,97,97,98,100,101,100,100,101,100,98,94,92,90,89,89,88,88,88,89,93,99,102,101,99,95,92,91,93,94,94,92,90,90,95,103,107,108,109,108,107,107,107,106,105,105,105,106,107,106,105,104,104,104,105,107,107,106,104,103,102,103,103,102,100,99,100,101,103,104,104,103,103,103,103,104,104,104,104,104,104,106,107,108,107,107,107,106,106,106,105,106,106,106,105,105,104,104,103,103,100,98,97,98,100,102,103,102,100,98,98,99,99,98,97,99,102,104,107,108,107,105,102,99,97,96,97,97,97,97,96,96,97,97,97,97,97,96,95,96,98,99,99,98,98,98,97,96,96,96,94,93,93,96,96,97,100,100,99,96,95,95,97,99,101,101,101,101,102,100,98,97,98,99,98,96,95,94,96,100,101,100,99,99,100,101,101,100,97,96,97,98,98,99,101,102,103,103,104,106,108,108,108,108,107,106,107,107,106,107,108,107,103,101,102,104,106,106,106,107,108,109,109,109,108,107,107,107,105,103,102,102,103,104,104,104,104,104,104,105,106,107,109,109,109,110,112,112,107,102,103,107,110,109,106,102,99,99,104,105,102,103,104,101,98,97,97,97,98,101,106,109,109,107,104,105,105,104,103,102,103,104,105,106,106,105,105,107,108,108,108,108,108,108,108,109,110,111,111,111,113,112,108,108,110,111,112,111,110,109,108,109,111,112,112,112,112,111,109,108,108,110,111,110,111,112,110,108,108,108,108,108,109,110,112,110,106,102,102,105,106,104,105,107,111,113,112,111,111,112,111,109,108,109,111,112,112,113,113,112,111,111,112,110,106,105,106,107,107,105,105,104,103,104,104,106,109,112,112,113,115,114,114,114,115,113,110,110,110,111,109,107,109,113,114,114,114,114,115,117,117,116,115,115,115,114,113,115,116,115,115,117,116,null],[100,99,97,96,98,101,104,105,107,107,106,106,106,107,105,103,105,105,104,103,103,104,106,108,107,104,102,104,108,108,106,105,105,106,108,109,107,107,107,106,105,105,106,105,102,102,103,104,104,105,106,107,107,106,105,104,105,106,106,105,105,104,103,103,104,106,107,106,104,103,103,101,99,96,95,94,93,93,94,95,96,97,97,97,96,95,94,93,90,90,89,88,88,88,88,88,88,90,92,94,95,96,98,97,96,95,96,96,94,91,88,88,90,91,88,88,90,93,95,99,100,99,96,93,92,92,92,92,93,91,90,94,102,108,109,109,109,108,107,108,107,105,104,105,106,107,108,107,105,104,104,105,107,108,108,107,105,104,103,101,100,99,98,98,98,99,101,103,103,103,104,104,104,104,104,103,103,104,105,105,107,107,107,108,108,107,107,106,105,105,106,106,105,104,105,106,106,106,105,103,100,99,98,98,99,100,99,97,97,98,99,98,98,101,105,106,106,105,103,101,99,98,97,97,98,97,97,96,96,96,96,96,97,97,96,95,95,96,98,99,99,99,99,99,98,97,96,95,95,95,96,97,99,101,102,100,97,96,96,97,97,99,101,101,101,103,103,101,98,96,98,100,98,96,96,96,99,103,103,100,100,100,101,102,102,99,97,97,99,100,100,99,99,102,103,104,105,107,107,106,106,107,107,107,108,107,106,107,108,105,102,101,102,106,109,110,110,108,107,107,106,105,105,105,104,104,103,101,100,102,106,108,105,106,107,107,107,107,107,108,109,108,108,110,112,111,106,100,101,107,110,109,104,100,98,101,106,107,103,104,105,102,99,97,96,95,97,100,104,108,108,106,106,107,109,108,105,104,104,105,106,106,107,106,105,108,110,108,107,106,105,106,108,109,111,112,111,111,112,112,110,110,111,110,110,111,112,110,108,108,108,109,111,113,113,112,111,111,111,112,113,112,113,114,112,111,111,111,111,111,112,113,116,114,108,103,105,109,111,109,109,111,114,114,113,111,110,110,109,109,110,111,112,112,112,112,114,114,113,113,113,111,108,106,107,109,108,107,107,106,106,107,107,109,111,114,115,115,116,115,114,113,114,113,110,109,111,113,112,110,111,114,116,116,116,116,116,115,115,115,116,117,116,114,112,114,115,115,116,118,118,null],[103,102,99,100,104,108,109,108,104,104,105,106,107,108,107,105,105,105,103,104,105,102,103,106,110,108,104,103,106,106,105,106,106,107,109,109,109,108,107,108,107,106,105,104,102,101,101,101,101,101,102,103,104,105,105,104,103,103,102,102,103,104,103,103,105,107,109,107,105,103,104,104,104,103,101,98,98,100,101,101,101,101,101,99,98,97,96,96,95,94,93,92,92,91,88,88,88,89,90,91,93,95,95,93,91,91,92,93,92,90,88,88,88,89,89,91,93,98,98,97,96,96,95,94,94,94,92,92,93,92,93,101,108,110,109,108,108,109,108,108,107,105,105,106,107,108,108,107,106,105,105,106,107,107,106,106,106,105,102,99,97,98,98,98,98,97,98,100,101,102,104,105,104,104,104,103,105,106,106,105,106,106,106,108,108,108,108,107,106,106,106,106,105,106,107,106,105,106,108,109,107,105,102,101,101,102,102,101,99,99,100,101,101,103,106,106,103,100,99,98,99,98,98,99,99,97,96,95,96,97,97,96,96,97,97,98,97,97,97,97,98,99,100,101,101,99,96,95,97,99,100,99,99,101,101,100,98,98,98,97,98,100,102,102,101,102,104,102,98,96,98,100,99,98,98,98,100,102,102,100,100,101,102,102,101,100,100,101,102,102,101,101,101,103,103,104,106,107,106,105,105,105,106,107,107,106,105,105,105,102,102,103,105,108,111,113,112,109,105,103,101,100,101,101,101,103,104,103,103,104,107,108,106,106,108,109,109,107,108,109,109,109,109,110,111,110,104,101,103,108,111,110,105,99,98,103,107,107,104,105,106,103,101,100,99,98,100,102,105,108,108,106,107,109,112,111,107,106,106,105,105,105,107,107,106,108,109,107,104,103,103,105,107,109,112,113,112,111,111,112,112,112,111,109,109,111,111,111,110,108,107,109,111,114,114,114,114,114,114,115,115,115,115,115,115,115,115,116,117,117,118,120,121,118,112,109,111,115,116,113,112,112,114,115,114,113,110,108,107,107,109,112,113,112,111,110,112,114,114,114,113,112,110,108,109,111,111,110,110,111,111,111,111,112,114,115,116,116,116,115,115,115,115,114,112,112,114,115,115,115,114,114,115,116,116,116,116,114,113,114,116,117,116,114,112,113,115,116,117,118,118,null],[106,106,104,106,108,109,109,107,104,104,106,107,106,107,107,107,107,106,105,105,104,100,101,106,110,110,106,106,106,105,104,104,106,108,108,109,109,107,107,109,109,107,106,105,103,102,101,101,100,99,99,99,100,103,103,102,101,101,101,101,102,103,103,103,103,105,107,107,104,101,103,104,105,105,103,102,103,104,104,104,104,105,104,103,103,102,100,99,97,95,94,93,93,93,91,91,91,91,91,91,91,92,92,91,90,90,89,89,88,88,87,88,89,90,92,95,97,98,98,96,94,94,94,95,95,94,94,94,94,93,96,105,110,109,107,107,108,109,108,108,106,105,105,106,107,108,107,106,105,106,107,107,106,106,106,106,104,102,99,96,96,97,97,98,98,97,97,98,100,102,104,105,104,103,103,105,106,107,106,105,105,105,106,108,109,109,108,108,107,107,107,106,105,105,107,106,105,105,107,108,108,108,107,106,106,107,107,107,105,104,104,105,104,104,104,104,102,100,100,100,101,100,99,99,98,97,96,96,96,98,99,98,97,97,98,100,100,99,98,98,98,99,100,100,100,98,96,96,99,100,100,99,98,98,98,98,99,99,98,96,96,99,102,101,100,102,103,101,97,96,98,101,101,101,101,101,101,100,101,102,103,103,102,101,101,101,102,102,104,104,103,103,104,104,104,104,104,105,105,105,104,103,103,105,106,106,105,103,102,102,104,106,107,109,111,112,110,106,102,100,101,101,102,103,102,101,103,105,106,106,107,109,109,109,109,109,108,106,108,109,110,110,110,109,109,108,105,103,107,110,111,110,106,99,99,103,106,105,103,105,106,105,104,103,104,104,105,107,110,111,109,104,103,105,110,112,109,108,106,105,105,105,106,107,107,107,106,102,101,101,103,104,106,109,112,115,115,113,113,114,114,112,110,111,110,109,110,111,110,109,109,111,113,115,116,116,117,117,117,117,118,119,118,118,120,121,120,121,122,124,125,125,124,121,120,118,118,118,118,115,115,115,117,117,115,114,112,109,106,105,108,111,112,112,111,110,110,111,112,112,111,112,113,111,111,112,112,112,112,114,115,115,115,115,115,114,113,114,114,115,117,118,119,117,115,116,117,118,118,118,117,116,115,116,115,115,115,114,114,116,116,117,116,114,113,114,117,118,118,117,117,null],[108,107,106,108,109,108,106,104,105,106,107,107,106,106,107,107,107,107,105,102,101,99,103,108,109,108,109,108,108,107,104,102,105,108,108,107,106,106,106,107,107,107,106,106,105,104,103,103,101,100,98,97,97,99,100,99,99,99,100,101,100,101,102,102,102,103,104,104,102,102,103,104,104,104,104,105,104,104,104,104,104,105,105,105,105,105,104,102,99,97,95,94,94,94,92,92,93,93,92,91,91,90,89,88,88,87,87,87,86,86,87,89,91,93,95,96,96,97,97,95,93,93,94,95,96,96,97,96,95,95,99,106,110,109,107,106,107,108,108,107,106,107,106,106,106,107,107,106,105,106,107,106,104,104,105,105,103,101,98,97,97,97,97,97,97,96,96,98,100,102,103,103,101,101,102,104,107,107,105,104,104,104,106,107,107,107,107,107,107,108,108,107,106,105,106,106,105,104,104,105,106,107,108,109,110,110,110,109,109,108,108,108,105,102,102,103,103,102,102,102,101,101,99,98,97,97,98,97,97,98,99,99,98,98,99,101,101,100,99,99,99,98,98,98,97,95,95,98,100,100,98,97,97,97,97,97,97,97,97,95,96,99,101,100,100,101,102,99,96,95,97,101,104,105,105,104,101,99,101,104,104,103,103,103,102,102,102,102,103,104,103,104,105,105,104,103,103,103,104,104,102,101,101,102,104,104,103,101,101,103,107,108,107,108,109,107,104,101,100,102,104,107,107,105,104,102,102,106,107,108,109,110,110,110,110,109,107,107,108,110,111,111,110,110,109,107,105,106,109,111,110,109,105,99,99,102,103,102,102,103,105,105,105,105,106,107,108,110,112,112,107,101,98,100,104,108,109,108,107,107,106,106,106,107,107,106,103,100,99,102,104,106,107,109,113,117,117,115,114,114,112,110,110,112,112,110,109,110,110,110,112,114,116,116,118,119,121,120,117,118,121,121,121,121,123,124,124,125,126,127,127,127,126,125,125,124,122,121,119,117,118,119,120,119,118,117,115,112,108,106,108,111,112,112,112,111,109,109,111,113,114,114,114,113,112,112,113,114,113,114,116,115,114,115,115,114,112,113,116,119,121,122,123,122,120,119,120,120,120,121,119,118,117,116,115,115,115,115,116,117,117,116,117,115,113,114,117,118,117,117,117,null],[105,104,103,106,109,107,104,103,104,106,107,107,106,107,107,106,106,105,102,98,98,103,108,109,107,107,109,111,110,108,104,101,103,107,108,106,103,104,104,104,105,105,106,105,106,107,106,104,102,101,99,98,98,97,97,97,98,99,100,100,98,99,101,102,103,101,99,99,102,105,106,105,104,104,105,105,105,104,105,105,105,105,103,103,104,106,105,103,101,100,99,98,96,94,92,92,93,94,94,93,94,95,90,89,88,87,87,87,87,87,89,92,98,98,97,96,97,97,97,95,93,93,94,96,98,100,100,98,97,98,103,108,110,110,108,108,108,108,107,106,107,109,108,107,106,107,108,107,106,105,105,104,103,103,104,105,105,104,102,99,98,97,96,95,96,96,96,97,98,100,100,99,99,100,101,102,105,106,104,102,103,104,105,105,104,104,105,106,107,108,108,107,106,106,106,105,104,104,104,104,105,105,105,106,108,108,107,107,108,109,109,107,104,102,101,103,103,103,102,101,101,100,99,98,98,98,99,99,99,98,98,99,99,99,100,100,101,100,100,100,100,99,98,98,96,95,95,98,100,99,97,97,97,98,99,98,96,95,96,96,97,98,101,101,100,101,101,98,95,95,98,102,105,106,105,104,101,99,101,103,103,103,104,105,104,103,101,101,101,103,103,103,103,104,104,102,102,103,103,102,100,99,100,101,103,102,100,100,102,106,107,107,106,105,104,101,98,98,101,106,109,110,108,107,106,103,102,105,108,109,110,111,110,109,109,108,108,108,109,111,111,111,110,111,109,104,105,107,110,111,111,109,104,98,97,99,100,100,102,104,104,105,105,105,107,109,110,110,110,108,103,99,97,98,99,102,105,106,106,108,109,107,107,107,106,105,102,98,100,103,106,108,109,110,114,115,116,115,114,112,110,109,111,113,114,113,110,109,109,110,112,114,116,118,120,122,124,123,119,118,120,120,122,124,125,127,127,128,128,126,125,126,128,127,126,124,124,123,122,120,120,120,121,123,123,123,120,118,114,112,111,114,114,113,113,113,113,112,115,117,119,117,115,112,112,113,116,116,116,116,116,114,113,115,117,117,116,118,121,124,125,124,125,126,124,122,122,123,123,123,121,120,119,118,117,117,116,115,116,117,116,115,116,116,114,114,115,116,116,116,118,null],[102,102,104,107,108,105,103,102,104,106,107,106,105,105,105,104,105,101,97,95,100,107,110,107,105,106,109,109,106,103,101,102,104,106,106,104,102,103,103,101,102,103,104,104,105,107,108,105,103,102,100,100,99,100,99,98,98,100,101,100,98,97,100,102,103,100,97,100,104,107,107,107,105,104,104,104,104,104,104,105,105,105,103,102,104,105,105,104,103,102,102,102,100,97,96,95,95,95,95,94,95,96,95,94,94,93,92,92,93,93,94,96,97,97,96,94,95,95,95,95,95,95,96,98,100,100,101,101,101,103,107,109,109,109,109,108,107,106,106,107,108,107,107,108,108,108,108,108,107,106,105,105,104,104,103,105,106,106,104,101,98,96,95,95,95,95,96,96,97,99,99,98,98,99,101,101,102,103,103,102,103,104,103,102,103,103,104,105,107,108,107,107,106,106,105,105,106,105,104,105,105,104,103,104,105,105,105,105,106,108,109,107,104,103,103,104,104,103,102,101,100,101,101,101,100,100,100,100,101,100,99,99,99,100,101,101,101,101,101,101,101,100,99,97,95,94,95,96,98,97,96,96,97,98,98,97,96,96,97,98,97,98,100,102,101,101,101,98,96,97,100,103,104,103,103,102,101,99,100,102,102,103,104,105,104,102,100,99,99,101,103,102,100,100,101,102,103,103,103,102,101,100,100,103,103,102,100,102,106,106,106,105,103,100,100,99,98,101,106,110,111,110,109,109,109,106,104,106,108,110,110,109,108,107,108,108,108,108,110,112,111,110,109,109,106,103,104,107,109,111,111,109,105,100,97,96,98,100,103,105,105,105,106,107,108,110,111,110,108,104,102,101,100,99,97,98,101,102,104,108,110,109,107,106,104,103,100,97,98,102,106,109,110,112,113,113,114,114,114,112,110,110,112,113,115,115,112,109,108,111,114,116,118,120,122,124,126,124,121,119,118,118,121,125,126,127,128,129,128,126,126,127,128,126,125,124,125,126,124,121,121,122,122,124,126,126,124,121,119,118,118,117,116,116,116,117,117,118,119,122,123,120,115,112,112,116,120,122,121,121,119,115,114,116,118,119,120,121,122,123,124,123,125,128,126,125,124,124,125,125,125,124,122,121,120,118,116,114,115,116,116,115,116,116,115,116,117,116,115,116,118,null],[101,103,106,106,105,103,102,102,104,106,107,105,102,103,103,103,102,98,94,97,104,109,107,104,103,105,106,105,101,98,100,105,106,104,103,103,104,104,103,102,101,101,101,101,102,104,106,107,104,103,102,101,101,103,104,102,101,102,103,102,100,99,99,102,103,101,101,103,105,106,106,106,105,103,103,103,103,103,103,104,105,105,104,103,103,104,104,104,103,102,102,104,103,101,101,100,98,98,98,97,98,97,96,96,96,95,95,95,97,98,97,96,96,96,95,94,93,94,95,96,97,98,100,101,100,99,100,103,105,107,109,109,109,108,107,107,106,105,105,107,107,105,106,108,109,108,107,107,108,107,107,106,105,104,104,106,107,105,103,100,97,96,95,95,95,95,95,96,97,98,98,98,97,99,101,101,100,101,102,103,104,102,101,101,101,102,103,105,107,107,106,106,106,105,105,106,107,106,104,105,105,104,103,103,104,105,104,104,105,106,107,106,107,106,105,105,105,103,103,103,103,103,103,103,102,101,101,102,103,103,102,101,102,102,102,102,101,101,101,101,101,100,98,97,95,95,94,95,96,95,94,95,95,96,97,97,97,97,98,98,97,97,99,101,102,103,102,100,98,99,102,103,101,100,100,100,100,99,100,101,103,103,103,104,103,102,100,99,99,100,102,102,100,99,100,103,104,103,103,103,102,100,102,105,105,102,102,104,105,104,103,103,100,98,99,101,103,107,110,111,110,109,109,111,112,109,106,106,108,109,108,107,106,107,108,108,108,109,111,113,111,109,108,108,105,102,104,107,109,111,112,110,106,102,98,96,98,100,103,106,106,106,107,110,111,112,111,110,107,104,104,105,104,101,98,97,97,98,102,107,110,109,107,104,102,100,98,97,97,99,103,107,111,112,112,113,113,113,114,114,113,113,114,114,116,117,114,109,108,112,117,120,121,122,123,124,125,124,122,121,120,119,121,125,127,128,128,128,128,127,128,129,127,124,124,125,126,126,123,120,122,125,124,124,125,127,126,123,122,123,123,120,118,119,121,120,120,122,123,126,125,121,116,112,113,118,123,125,125,126,124,119,118,119,119,118,120,122,121,121,121,122,124,127,127,127,126,125,125,127,128,126,125,123,122,119,117,114,114,116,116,116,116,115,115,117,118,116,115,116,117,null],[102,103,103,101,101,102,104,103,103,104,104,102,101,102,104,103,99,95,96,102,107,107,105,105,106,106,104,101,100,101,104,107,105,102,102,104,107,106,104,103,101,99,100,99,99,102,106,107,106,105,104,104,104,105,107,106,105,104,104,105,103,102,102,103,103,104,104,104,103,104,105,106,104,102,102,104,102,102,104,105,104,104,104,104,104,104,104,104,103,102,102,102,101,102,103,103,101,102,103,104,103,101,101,100,98,98,97,97,99,100,98,98,99,98,97,97,98,99,101,101,101,102,104,104,101,99,101,104,106,107,108,108,108,108,107,106,106,105,105,106,106,106,106,107,107,107,107,108,108,107,107,108,106,105,104,105,105,103,100,98,96,96,96,96,95,95,95,95,95,95,96,96,97,98,100,100,99,100,102,103,104,103,101,100,99,99,101,104,106,106,105,104,104,104,105,106,106,105,104,105,105,105,104,104,105,105,104,103,103,104,106,107,108,107,105,104,104,104,105,106,106,104,103,103,104,103,102,102,103,103,104,105,104,103,102,101,100,98,98,98,98,97,96,95,96,96,95,95,95,94,93,93,94,96,96,97,97,98,97,95,95,97,100,102,103,104,104,101,99,100,102,103,100,99,100,100,100,100,101,102,102,102,103,105,106,105,103,102,101,101,102,104,104,102,102,104,103,102,103,103,102,101,103,105,105,103,101,100,99,100,98,98,99,101,103,105,107,109,111,110,109,109,109,111,112,109,106,105,106,107,107,107,107,108,109,109,109,111,113,112,111,111,111,108,105,104,105,107,110,112,112,111,108,103,99,98,99,101,104,106,107,107,108,110,111,111,110,110,109,108,108,108,106,102,99,96,96,98,101,106,109,109,106,103,100,98,98,99,99,100,102,106,110,111,112,113,114,114,114,116,116,117,117,117,118,119,114,109,107,111,118,122,123,121,124,126,124,122,123,124,124,123,123,127,129,129,128,127,126,127,128,128,127,125,124,125,126,126,124,123,123,125,127,127,126,127,127,124,124,126,125,122,120,122,124,121,120,123,126,128,127,123,118,114,115,118,122,124,127,128,126,123,123,124,121,119,121,124,124,125,124,121,121,125,127,129,129,126,125,128,130,127,125,121,119,118,117,115,115,116,116,116,115,114,115,117,118,116,115,116,118,null],[103,101,98,96,98,102,105,105,103,102,101,101,102,103,104,101,95,94,101,108,110,107,105,107,107,105,103,102,103,104,106,106,104,103,103,104,106,106,105,102,100,98,98,98,98,102,106,106,105,106,107,107,106,106,106,108,107,106,105,106,106,105,105,104,105,106,105,103,101,102,104,105,103,103,103,104,103,103,105,105,104,104,104,104,104,104,104,104,103,103,103,102,100,101,103,103,103,103,105,106,105,104,104,103,101,100,100,100,101,102,102,102,103,102,102,102,104,105,105,104,103,104,106,104,102,101,102,104,106,107,107,107,108,107,106,106,106,106,106,106,107,108,107,107,106,106,106,107,107,106,106,106,105,104,104,103,103,102,99,98,97,96,96,95,94,94,95,96,95,94,95,95,96,97,98,98,98,99,101,102,102,102,101,99,97,97,101,103,104,104,103,102,102,103,105,106,104,103,104,105,105,104,104,105,106,106,104,103,102,104,105,106,107,106,104,103,103,105,107,108,106,104,103,104,105,104,103,102,102,103,104,105,105,102,99,99,97,96,96,96,95,94,94,94,95,96,96,95,95,94,94,94,94,94,95,96,97,97,96,95,96,99,100,101,104,105,104,102,101,101,101,100,99,99,100,101,101,101,102,102,102,102,103,106,107,107,106,105,104,103,103,105,106,104,104,105,103,102,103,103,102,102,103,103,103,102,100,97,96,97,98,98,102,106,107,108,109,109,110,110,109,109,110,110,110,107,103,102,103,105,107,107,108,109,110,109,111,113,113,111,112,112,111,110,108,107,107,108,110,112,114,112,107,103,101,101,100,102,104,107,108,109,109,108,109,109,109,109,110,110,111,109,106,102,99,98,98,99,102,105,108,109,106,102,99,97,98,100,101,102,104,107,110,112,112,114,116,117,117,118,119,120,120,118,117,117,113,109,109,111,117,123,125,122,124,127,123,121,123,127,127,127,126,128,129,130,129,127,127,128,128,127,126,126,125,125,126,125,126,126,125,124,128,128,126,125,125,124,125,126,125,122,120,122,123,122,121,123,125,128,128,123,116,115,117,119,120,124,128,128,126,126,127,126,122,119,121,124,127,129,128,122,121,123,126,128,130,128,127,128,129,127,123,119,118,117,117,116,115,116,116,115,114,113,114,116,117,117,116,117,120,null],[102,98,94,94,97,101,105,106,104,101,100,101,104,104,101,96,92,95,106,111,111,108,107,107,105,104,104,106,107,106,104,104,106,106,105,104,104,104,103,100,98,98,99,99,100,104,106,105,103,105,107,110,108,106,104,106,106,105,105,105,107,106,104,105,106,106,104,102,101,103,104,104,104,104,103,103,104,105,105,105,105,104,103,103,103,103,103,103,104,105,104,103,103,103,102,102,102,103,103,104,104,105,105,104,104,103,103,103,103,104,106,106,106,106,106,106,107,107,106,105,105,105,104,104,104,103,104,106,107,107,108,108,107,106,106,106,107,107,107,107,107,107,107,106,105,105,105,106,106,105,103,103,103,103,103,101,101,101,100,99,97,97,95,94,93,94,95,96,95,95,95,96,97,97,97,96,97,98,100,100,100,100,99,97,96,98,101,103,102,102,102,101,102,103,105,106,104,103,103,104,105,104,104,105,106,106,104,104,104,105,105,104,104,104,104,104,105,105,105,105,104,104,104,105,105,104,103,103,102,102,101,102,102,100,97,96,96,96,97,96,94,94,94,94,95,96,96,95,94,95,96,95,94,93,94,96,97,97,98,99,100,101,100,101,104,105,103,102,102,101,99,98,98,99,100,101,102,102,103,103,103,103,104,106,107,107,107,107,105,105,105,106,105,104,105,106,106,105,104,104,104,102,102,101,102,103,103,100,99,100,103,104,107,109,109,109,109,110,110,110,109,108,110,109,107,104,102,101,102,104,107,107,106,107,109,110,111,113,112,110,112,111,110,110,110,110,109,107,107,110,113,111,106,103,103,103,102,103,105,107,109,110,109,107,107,108,109,109,109,110,110,108,105,102,100,100,100,100,101,105,108,109,105,101,98,99,100,102,104,106,108,110,112,114,114,115,119,122,122,121,119,121,122,117,113,113,112,112,111,112,115,123,126,124,124,125,123,123,125,126,127,127,127,128,129,129,129,128,128,128,128,127,126,126,127,127,126,125,127,128,126,125,127,127,125,124,123,123,124,125,123,121,120,121,122,124,124,124,126,128,127,120,114,116,121,123,123,125,128,129,128,128,127,125,122,121,121,124,128,131,130,127,124,124,124,127,129,130,129,128,126,124,121,119,117,117,116,114,114,116,115,114,113,113,113,115,116,118,119,120,122,null],[99,94,93,96,100,103,104,105,105,103,102,103,103,101,96,92,94,97,103,107,108,107,106,105,105,106,106,107,106,106,105,106,108,109,107,105,102,103,102,99,98,100,101,101,102,105,106,104,103,104,106,108,108,105,103,103,104,104,104,104,105,105,105,106,105,103,102,102,103,105,105,104,104,103,103,103,104,104,104,104,105,103,102,103,103,103,103,103,104,105,106,105,104,103,103,103,103,102,101,102,103,104,104,105,105,105,104,104,104,105,107,108,108,108,108,107,106,106,106,107,107,106,105,104,103,104,106,107,107,107,108,107,106,107,108,108,108,108,107,107,106,105,105,105,106,106,105,107,107,106,104,103,103,102,101,99,99,100,100,99,98,97,95,94,93,94,95,95,95,95,95,96,97,97,96,95,97,99,100,99,99,99,98,97,97,99,101,101,100,100,103,103,103,103,104,104,104,103,103,104,103,102,103,105,105,104,104,104,104,104,104,104,103,103,104,105,106,105,105,104,104,103,104,105,105,104,104,104,104,103,102,101,100,98,97,95,96,96,95,95,94,94,94,94,96,96,95,95,95,95,95,94,93,93,95,96,98,100,101,102,102,101,101,102,104,104,102,100,100,99,99,99,99,100,100,101,102,102,103,104,103,103,104,105,105,105,106,107,106,105,106,106,105,104,104,106,108,108,106,105,103,103,103,103,103,104,106,105,103,105,108,109,110,111,110,110,110,110,109,109,108,108,109,108,105,103,103,103,103,104,107,106,105,105,107,110,112,111,110,110,110,110,109,110,111,110,109,107,103,105,107,106,104,102,104,105,104,103,105,107,109,109,108,107,108,109,109,109,109,111,110,108,105,103,102,102,101,99,101,104,108,109,106,101,98,100,104,107,109,110,113,114,114,115,117,120,122,124,125,122,119,121,123,119,115,113,114,114,113,111,113,121,126,124,122,122,124,125,127,126,126,127,128,129,129,130,130,128,126,126,126,127,127,128,130,129,127,126,127,127,128,127,127,126,127,126,124,123,124,124,123,121,120,122,125,125,124,124,125,126,124,118,114,119,125,127,127,127,127,128,128,129,127,125,125,125,123,123,126,130,131,130,128,126,125,125,127,129,130,127,123,120,118,117,117,116,115,116,117,117,115,113,114,115,115,116,117,118,120,121,122,null],[96,93,95,99,103,105,104,104,105,105,104,103,100,96,93,93,94,97,102,106,105,106,105,104,106,108,108,105,104,105,107,108,110,110,109,106,104,103,101,98,100,103,103,103,105,105,105,104,105,105,105,106,106,105,104,103,103,103,103,104,104,105,107,106,104,102,102,104,105,105,105,105,104,102,102,103,103,102,103,103,103,103,103,103,104,104,103,102,103,104,105,105,104,103,103,104,103,102,101,102,102,104,105,107,106,105,104,105,106,105,106,107,107,108,108,106,104,104,106,107,107,108,108,105,104,104,106,108,107,107,107,106,106,107,108,108,109,108,107,106,105,104,103,104,106,106,105,107,109,107,105,104,102,101,99,97,98,99,99,98,97,96,95,94,94,94,95,94,94,95,95,96,96,95,95,96,98,100,100,99,99,99,99,99,99,100,100,99,98,99,102,103,103,102,101,102,102,103,103,103,102,102,103,105,103,103,104,104,104,104,104,104,103,103,104,105,106,105,104,104,104,104,104,104,103,104,104,105,105,104,103,101,100,98,97,98,97,95,94,94,95,94,94,95,96,96,95,95,96,95,93,92,93,95,97,98,100,101,103,103,102,101,102,103,103,102,100,98,97,98,100,102,101,100,99,100,101,102,103,104,103,104,104,105,105,105,106,106,105,106,106,107,106,103,103,106,109,110,108,105,103,104,105,106,105,105,107,108,108,109,110,111,110,110,111,111,111,110,108,107,107,108,108,107,105,104,105,104,104,105,107,106,105,106,109,111,110,110,110,111,110,110,110,111,110,109,108,106,103,102,104,103,102,103,105,106,105,104,105,107,108,107,107,107,109,110,109,109,109,111,110,107,105,104,104,104,103,102,103,105,108,109,107,102,98,101,107,110,112,113,115,116,116,117,120,123,125,124,123,121,119,120,123,122,119,116,114,113,112,110,112,120,125,124,121,121,125,128,128,127,126,128,129,129,130,129,128,126,124,124,126,128,128,129,131,130,129,128,127,127,128,129,128,128,128,128,126,125,123,123,123,121,120,124,127,126,125,126,126,124,121,117,117,122,127,129,129,128,126,126,128,128,128,128,129,129,125,123,124,127,130,131,130,128,127,126,126,127,128,126,122,118,117,117,116,115,115,117,119,118,116,114,115,117,118,118,118,119,120,122,123,null],[94,95,98,102,105,105,104,102,103,104,102,100,96,93,94,93,102,105,105,105,105,106,107,106,107,108,108,106,105,105,107,108,109,109,108,107,106,104,101,98,101,105,104,103,106,106,104,104,105,106,104,104,105,105,105,104,103,102,103,105,106,107,108,106,104,103,104,105,104,104,105,105,103,102,102,104,102,101,103,102,102,103,104,104,105,105,103,102,102,103,103,103,102,102,101,103,104,102,101,102,103,105,106,108,108,106,106,107,107,106,106,106,107,108,108,106,105,105,104,104,105,107,108,107,106,106,106,107,107,107,106,106,106,106,106,107,108,108,107,106,105,105,104,103,105,106,106,106,107,107,105,104,101,98,96,96,97,98,98,97,96,95,95,95,94,94,94,94,94,94,95,96,94,93,94,97,99,100,99,99,100,100,100,100,100,100,100,99,98,97,98,99,100,100,99,99,99,100,101,101,101,103,105,105,103,102,104,105,105,105,105,106,105,104,104,105,105,104,103,103,103,104,104,104,103,103,104,105,105,103,101,100,99,98,98,99,98,96,94,94,95,95,94,94,95,95,95,95,95,94,93,92,94,96,99,100,101,100,100,100,100,99,100,100,99,99,98,97,96,97,100,103,103,100,98,99,101,103,103,103,104,105,105,105,106,105,105,105,106,106,107,107,106,104,103,106,109,110,108,104,103,104,105,105,106,106,107,108,110,111,111,110,109,109,111,112,111,109,107,105,106,106,106,105,106,106,105,104,105,106,107,107,107,110,111,110,108,107,109,111,111,111,110,110,109,108,108,108,106,105,106,103,102,103,105,105,106,105,105,107,108,106,106,108,109,111,111,109,108,109,110,109,106,105,106,107,107,106,106,106,108,109,108,104,102,104,109,112,115,116,115,117,120,121,122,123,124,124,122,120,118,120,122,121,118,115,113,111,111,111,113,120,125,124,122,122,126,128,127,127,127,128,129,129,128,126,123,123,125,127,128,129,129,129,129,130,131,130,129,129,128,129,130,130,129,129,128,126,124,123,122,121,121,123,126,126,126,127,127,124,118,118,121,125,127,128,128,127,126,126,127,129,130,131,132,131,128,125,124,125,127,129,129,130,129,127,126,126,126,126,122,120,119,118,117,115,115,116,117,118,116,115,116,118,119,119,119,119,121,124,124,null],[95,98,101,104,105,104,103,101,102,101,99,95,93,96,99,95,105,105,106,106,106,107,108,108,108,107,106,107,107,106,105,106,107,108,109,108,106,104,102,102,104,107,106,105,107,107,105,104,104,105,103,102,104,106,106,105,104,102,104,107,107,107,107,106,105,105,105,104,104,104,104,105,104,103,104,105,103,102,104,104,103,105,105,104,104,105,103,103,103,103,103,102,102,102,100,102,104,104,103,103,104,105,106,107,107,107,106,106,106,106,105,106,107,107,106,105,105,106,104,103,103,105,107,107,107,107,107,106,107,107,106,105,105,106,106,107,108,109,107,106,105,105,105,104,105,106,105,104,105,105,104,101,98,95,95,96,96,96,97,97,96,95,95,95,94,94,95,95,95,94,95,95,94,93,94,98,100,100,99,98,99,99,99,98,99,100,100,99,98,97,96,97,97,97,97,96,97,98,99,99,99,102,104,104,102,102,104,105,105,105,105,106,106,105,105,106,106,105,104,104,103,103,103,103,104,103,103,103,104,103,100,99,98,97,97,99,98,96,94,94,94,95,94,94,95,95,95,95,95,95,95,95,96,97,99,101,101,99,97,98,98,97,97,97,96,96,96,97,97,98,100,103,102,100,98,100,103,104,103,102,104,106,105,106,105,105,105,106,106,107,108,107,105,105,105,106,108,110,109,106,104,104,104,103,104,105,107,108,110,110,110,109,108,109,111,111,110,108,106,104,105,105,105,105,106,105,104,104,105,106,107,108,111,112,112,109,107,107,107,108,109,109,108,108,108,108,109,109,110,110,109,106,104,105,105,105,106,107,106,107,107,105,106,108,110,111,111,110,108,107,109,110,108,106,107,109,110,108,107,108,109,108,107,107,106,108,111,114,118,119,117,117,121,123,122,123,124,123,121,120,119,119,119,119,117,115,112,110,112,112,113,117,121,121,120,121,125,127,126,127,126,126,126,125,125,123,121,123,127,129,129,129,129,129,129,129,130,131,131,129,127,127,129,130,129,129,128,126,124,123,121,120,121,123,124,126,126,126,126,123,116,118,124,126,124,124,125,126,126,127,128,129,130,131,132,132,130,127,125,126,128,127,128,129,130,129,127,126,126,125,123,121,121,119,117,114,113,114,116,116,117,117,117,118,119,119,119,120,122,124,124,null],[97,100,103,104,103,102,101,101,100,98,94,92,94,93,95,97,105,105,105,105,106,106,106,107,106,105,105,107,109,107,105,105,106,107,108,107,104,103,104,105,105,106,107,107,106,106,106,104,103,103,102,102,104,106,106,106,104,103,104,106,107,106,105,105,105,105,104,103,104,104,104,105,105,105,105,105,104,104,105,105,105,105,104,103,103,104,103,103,104,103,103,103,103,102,100,102,104,104,104,104,104,104,104,105,105,105,105,104,105,105,104,105,106,105,104,104,105,106,105,104,103,104,105,106,107,108,108,107,107,107,106,105,105,106,107,108,109,109,107,105,104,104,104,105,107,106,104,103,103,102,101,99,96,95,95,96,96,95,96,96,96,96,95,95,95,96,96,96,95,95,94,94,94,94,95,98,99,98,98,98,97,97,97,96,96,98,99,99,98,98,98,97,97,96,96,96,96,96,96,96,97,98,100,101,102,102,103,104,104,104,104,104,104,104,105,106,107,107,107,107,104,102,102,104,106,105,103,101,102,102,100,98,97,95,95,96,95,94,94,94,95,94,94,94,95,95,95,95,96,96,97,97,97,97,98,98,98,96,96,97,97,96,95,95,94,95,95,96,97,99,101,101,101,99,99,102,104,104,102,102,104,106,106,105,105,104,104,105,106,107,107,106,105,106,106,106,107,109,110,108,105,103,102,101,103,106,108,109,109,109,109,110,110,110,111,110,108,106,105,103,104,104,103,104,105,105,104,105,105,106,107,110,112,112,109,107,107,107,105,103,104,105,105,106,108,109,109,110,111,111,109,107,106,106,106,107,108,109,108,108,108,106,106,108,110,110,110,109,107,106,107,110,109,107,107,109,110,108,108,110,108,106,106,108,110,113,116,119,121,122,119,119,122,122,122,124,125,123,122,122,122,121,119,118,117,115,113,112,114,113,112,114,117,117,118,118,122,124,124,125,124,123,121,121,121,122,123,125,128,127,127,128,128,129,130,129,128,129,130,128,127,127,127,129,130,128,126,125,124,123,121,120,122,123,124,126,126,124,123,120,115,119,125,125,121,121,122,124,125,127,128,129,129,130,131,132,132,129,127,129,130,129,128,128,129,129,128,127,126,124,122,121,120,118,116,113,111,113,115,117,119,119,118,117,118,118,119,121,123,124,123,null],[97,101,102,103,102,101,101,100,97,94,91,92,92,93,96,104,104,104,104,104,105,104,103,103,104,104,105,107,109,109,107,105,104,105,105,104,102,102,104,104,104,105,106,107,106,104,104,104,104,103,102,103,105,105,104,104,104,105,104,104,106,108,106,105,103,104,105,104,104,104,105,105,104,105,105,104,103,103,104,104,104,103,103,104,104,104,103,104,104,102,102,104,103,102,100,101,103,104,104,103,101,101,102,103,104,104,103,102,103,105,104,103,103,103,103,103,104,105,104,103,103,102,103,103,105,107,107,106,106,107,107,106,106,106,107,108,108,108,106,103,102,104,106,106,106,106,105,104,102,100,99,98,99,98,96,96,96,96,95,95,95,96,95,95,95,96,95,94,94,95,95,94,95,94,96,98,97,96,96,97,97,97,96,95,95,97,97,97,98,99,99,98,97,96,96,95,95,95,95,95,95,96,97,98,100,101,101,102,103,103,103,103,102,101,101,101,103,106,107,107,103,100,102,104,105,105,102,100,99,99,99,98,97,95,94,94,94,93,92,93,95,95,95,94,94,94,95,96,97,96,96,95,95,95,95,95,95,95,95,96,95,94,94,95,95,94,94,95,97,100,100,100,99,100,100,102,102,102,101,102,103,105,106,106,105,104,103,103,104,104,105,105,105,105,106,106,106,108,109,108,106,105,103,103,104,107,109,110,109,109,110,111,111,111,110,109,107,105,103,102,104,104,102,103,106,107,107,107,107,107,109,111,111,110,109,109,108,106,103,101,103,104,105,106,108,110,110,110,111,110,107,106,106,107,108,108,108,107,108,109,109,107,107,108,110,110,109,108,106,105,106,109,110,109,107,107,108,108,109,109,107,104,106,108,111,116,121,125,125,122,119,120,123,123,122,123,124,125,125,124,124,123,121,120,120,117,114,113,113,113,112,113,116,119,118,116,118,119,119,119,120,121,121,120,123,124,125,128,128,126,126,128,128,128,128,128,128,127,128,127,128,128,129,130,131,128,124,123,122,121,121,122,123,125,126,126,125,125,122,118,116,119,123,123,122,122,122,122,123,124,126,129,131,131,131,132,133,130,128,129,131,130,130,129,128,127,127,127,125,123,122,122,121,118,115,113,113,113,115,117,120,119,117,116,117,118,121,124,125,124,124,null],[98,101,102,102,101,101,102,100,95,91,91,91,92,94,98,103,103,104,104,104,104,103,102,101,104,106,106,108,109,108,106,105,105,104,102,101,101,102,103,102,102,103,105,106,105,103,102,103,104,103,104,105,105,104,103,103,104,105,103,103,106,108,107,105,102,103,105,105,104,105,106,105,104,104,104,104,104,104,104,104,103,102,102,104,104,104,103,103,103,102,102,104,103,102,101,102,103,103,102,102,100,100,101,103,103,103,102,101,102,103,103,102,102,103,105,104,104,104,103,103,104,103,103,103,105,106,106,105,106,107,107,107,107,107,107,108,107,107,105,101,100,103,106,106,105,105,105,103,101,99,99,99,100,99,97,96,96,96,95,95,95,96,96,96,95,95,94,93,94,95,96,95,95,95,96,97,96,93,94,96,98,98,97,95,94,96,97,97,97,98,99,99,98,97,96,94,94,95,95,95,94,95,96,97,98,99,100,101,102,103,103,102,101,100,98,98,99,102,104,102,99,98,99,101,101,100,99,97,96,96,97,97,96,95,94,93,92,92,92,93,94,94,94,94,93,94,95,96,97,96,95,94,94,93,93,93,94,94,95,95,94,93,94,95,95,94,94,95,99,101,100,99,100,101,101,101,101,101,102,102,102,104,105,107,106,105,104,104,103,103,104,105,105,105,106,106,106,107,108,108,107,105,104,104,105,107,109,109,109,110,111,112,111,110,109,108,107,105,103,103,104,103,102,102,106,108,108,109,109,108,109,111,110,110,110,109,107,105,103,103,104,105,106,107,109,110,110,110,109,107,105,104,105,107,109,109,108,107,107,108,109,108,107,109,110,110,108,106,106,105,106,107,109,108,107,106,105,108,109,107,104,103,106,109,115,120,126,128,125,121,120,122,124,124,123,123,124,126,127,126,126,125,124,123,121,117,114,114,114,112,111,113,117,121,121,117,117,118,120,119,119,122,123,123,125,127,127,127,127,127,128,128,127,127,128,127,126,125,126,127,128,130,131,131,130,127,125,124,123,121,121,123,124,126,127,125,125,124,120,116,117,120,123,124,125,127,126,124,124,123,124,128,130,131,130,130,131,131,130,130,130,131,131,130,128,127,127,126,124,122,122,123,122,118,116,114,115,115,116,118,119,119,117,116,117,119,122,125,125,124,124,null],[100,103,104,101,100,101,102,99,94,91,90,91,94,102,100,100,101,104,104,104,104,104,104,104,107,108,108,109,109,105,104,104,106,105,103,101,102,102,103,103,102,103,105,106,105,104,103,103,103,104,106,106,105,105,105,105,104,103,102,103,105,107,106,105,104,104,105,105,104,105,106,105,103,102,103,105,106,106,105,104,104,103,103,102,103,104,103,103,103,103,103,103,103,102,102,102,103,103,102,100,101,103,104,104,104,103,102,101,100,101,102,102,103,105,107,106,104,103,103,103,104,106,106,106,106,106,105,105,106,107,107,107,107,107,107,107,108,107,105,100,99,103,105,105,104,103,101,100,98,98,99,99,98,97,96,96,95,96,96,96,95,95,96,96,96,95,95,95,95,95,96,96,95,96,97,96,94,92,94,96,98,98,97,95,95,95,97,97,97,97,97,97,98,98,96,94,93,94,95,95,95,95,96,97,97,97,99,99,100,102,102,102,102,101,100,97,97,98,97,95,95,95,95,95,95,95,94,94,94,95,95,95,94,94,93,92,92,93,94,93,92,93,93,92,93,94,94,95,95,95,95,94,93,93,93,94,93,93,94,94,94,94,94,94,94,94,94,96,99,101,99,98,102,104,102,101,102,102,103,102,101,102,105,107,106,105,105,106,104,103,104,105,106,107,106,106,106,107,109,108,107,104,103,103,105,107,108,108,108,109,111,111,111,110,109,108,107,105,104,104,104,103,102,103,105,107,109,110,110,110,111,111,110,110,109,107,105,104,105,106,105,104,105,107,109,109,110,110,108,105,104,104,105,106,107,109,110,109,107,107,107,108,108,109,110,109,107,106,106,105,105,106,107,107,106,104,104,107,107,105,102,103,106,113,121,126,127,126,124,124,123,125,126,125,124,125,125,125,127,127,125,125,125,124,120,116,115,116,115,112,109,111,117,122,122,120,119,122,125,124,122,124,126,127,127,126,125,125,127,129,130,129,128,128,129,126,123,124,127,128,129,130,131,130,127,125,126,126,125,122,121,123,125,125,125,125,123,121,118,117,119,121,124,128,130,130,129,128,128,127,125,124,126,129,129,128,129,131,132,131,130,131,131,130,129,128,127,126,124,123,123,123,122,120,118,116,116,116,117,118,118,118,116,116,118,120,122,125,126,124,123,null],[103,105,104,100,98,99,98,95,92,93,90,93,97,103,101,100,102,104,102,103,105,106,107,108,108,108,110,111,108,102,101,103,105,104,102,102,104,104,105,105,104,105,106,107,107,107,105,104,102,104,106,107,105,104,104,105,105,103,104,105,105,105,104,104,105,106,106,105,104,104,105,105,104,103,103,105,107,107,106,106,105,103,101,102,103,104,104,104,104,104,104,103,102,102,102,102,102,102,101,100,101,103,104,103,103,102,102,102,101,100,101,103,103,105,107,106,104,103,103,103,104,107,109,108,108,107,106,105,106,107,107,107,107,108,107,107,108,108,105,101,100,103,106,105,103,100,97,96,96,99,100,98,96,95,95,96,96,96,96,96,96,95,96,96,96,95,95,96,95,95,94,94,95,97,98,96,94,93,93,94,95,95,95,95,95,95,96,97,97,97,97,97,98,98,96,94,94,95,96,95,94,95,96,97,96,96,97,98,99,99,100,101,102,102,100,98,97,96,94,93,94,95,93,92,92,93,93,93,94,94,94,92,92,93,93,92,93,94,94,93,93,93,93,93,93,94,95,95,95,95,95,94,93,93,94,94,93,93,92,93,94,95,95,94,94,94,96,98,100,101,99,99,102,103,102,100,101,103,104,103,102,103,104,106,106,106,106,107,106,104,104,105,108,109,107,106,107,108,110,109,107,104,102,103,104,106,106,106,108,109,111,110,110,109,108,107,106,106,105,104,103,102,103,104,105,107,108,110,111,111,112,111,110,108,107,105,105,105,106,107,106,105,105,105,107,109,111,110,108,106,106,106,107,105,105,107,110,110,108,106,107,108,109,109,108,108,108,108,107,106,106,105,105,105,106,106,105,105,105,103,104,105,110,117,123,126,125,124,125,126,126,127,127,126,125,125,125,126,127,126,124,124,125,122,119,117,117,117,114,111,110,112,117,121,120,119,121,125,128,127,126,126,128,129,127,126,126,126,126,127,128,129,129,128,127,125,125,127,128,128,130,131,131,128,126,126,127,127,125,123,123,124,125,126,125,123,120,118,118,120,122,122,123,127,129,129,128,129,130,129,127,123,123,125,127,127,127,130,132,132,131,132,132,131,129,128,127,126,125,124,124,124,123,121,120,118,117,116,117,119,119,118,117,117,119,120,122,124,125,125,123,null],[104,104,104,99,96,95,92,90,93,98,92,95,100,103,103,103,104,103,101,102,106,107,107,107,106,107,110,110,105,100,100,103,104,101,100,101,104,105,106,107,107,106,106,108,109,109,107,105,104,104,105,106,104,103,103,104,105,104,105,107,106,104,103,104,106,107,106,105,104,104,104,105,105,105,104,105,106,106,106,106,105,102,101,102,104,104,104,104,105,104,104,103,103,103,102,101,101,101,101,101,102,102,102,101,101,101,102,103,102,101,102,103,103,104,104,103,103,103,102,102,103,106,109,109,107,107,107,106,106,106,106,106,107,108,107,107,108,108,105,103,103,104,106,104,100,96,94,94,95,98,99,97,96,95,96,97,97,96,95,95,96,96,95,95,95,95,95,95,94,94,93,93,95,97,98,96,94,93,93,93,92,92,94,95,95,94,95,96,97,97,98,98,98,96,94,93,94,96,96,95,94,94,96,96,96,95,96,97,97,96,96,98,100,101,99,97,96,95,94,94,95,95,93,92,92,93,94,95,95,94,93,92,92,93,94,93,93,93,93,94,94,95,95,95,95,95,95,95,95,95,94,93,93,94,94,93,93,92,92,93,95,95,95,94,94,95,97,99,101,101,100,100,100,101,101,100,100,102,104,104,103,103,105,107,107,106,107,107,106,105,104,106,109,110,108,107,107,108,110,110,109,106,103,104,105,105,104,104,107,110,111,110,109,108,107,106,105,105,104,103,103,103,104,104,105,107,109,110,110,111,112,112,109,106,105,105,106,106,106,106,107,107,105,104,106,109,110,109,108,107,107,108,109,106,105,107,110,110,108,107,107,108,108,108,107,107,109,109,108,106,106,105,103,104,107,108,106,103,102,104,106,110,114,119,123,124,123,125,126,127,127,127,127,126,125,125,126,127,127,126,125,124,123,120,118,120,120,117,113,111,111,113,116,120,119,118,120,123,125,128,128,127,127,128,127,128,128,128,126,125,126,129,129,126,124,126,128,129,128,128,129,131,130,128,127,127,127,126,125,125,125,126,126,127,126,122,118,117,121,124,124,123,122,124,124,124,126,128,130,131,129,126,124,123,125,127,127,128,130,131,132,132,131,131,130,128,127,128,126,125,124,125,124,122,121,119,118,116,117,120,120,118,117,117,119,119,121,124,126,126,125,null],[102,103,103,98,95,93,91,91,91,93,94,103,104,105,107,107,105,102,101,103,106,106,104,104,106,109,109,106,102,101,102,103,103,102,99,100,102,104,105,105,105,106,106,107,108,107,106,108,108,106,106,104,102,102,103,104,104,104,106,108,106,103,103,104,106,107,106,104,103,104,105,106,106,105,105,105,104,104,104,104,104,103,103,103,105,105,104,103,103,103,103,104,105,104,102,100,101,101,102,103,103,102,100,100,100,101,102,102,102,102,103,103,102,102,102,102,103,102,102,101,103,105,108,108,107,106,106,107,106,105,105,106,107,107,107,107,106,105,104,104,104,105,104,100,97,94,94,94,96,97,97,96,96,96,96,96,96,95,94,95,95,95,94,94,95,96,95,94,93,94,94,95,95,96,97,97,95,93,92,92,91,92,95,96,95,94,94,94,95,98,100,99,96,94,92,91,93,95,96,96,96,97,96,95,95,97,98,97,95,94,93,95,96,97,96,93,92,92,94,94,94,93,92,92,93,93,93,94,94,94,94,95,94,93,93,93,93,93,93,94,95,95,96,97,96,95,95,95,95,94,94,94,94,94,93,93,92,92,92,94,95,95,95,95,96,98,99,99,100,101,101,100,99,99,100,100,101,103,104,104,104,105,106,106,106,107,106,106,106,106,106,107,109,110,109,108,107,108,110,112,111,107,104,105,106,106,105,105,106,110,112,111,109,107,107,107,106,105,105,105,106,106,106,105,106,109,112,112,110,110,111,112,109,106,104,105,105,105,105,106,108,107,105,105,106,109,109,107,107,107,108,109,109,107,106,107,109,109,109,108,107,107,107,107,107,107,109,110,109,106,105,105,105,105,106,107,105,102,102,105,110,115,117,121,125,126,125,126,128,127,126,125,125,124,125,126,127,127,126,127,127,125,122,119,121,124,123,119,116,113,111,111,113,119,121,121,121,122,125,128,129,129,127,126,129,129,128,127,127,127,128,128,126,124,125,128,130,129,127,127,128,129,130,130,129,127,125,125,127,127,127,126,126,127,126,122,119,119,123,127,127,126,123,120,120,122,125,127,130,132,131,130,129,128,127,127,127,129,130,130,129,129,129,130,130,129,128,128,128,126,125,125,125,123,122,121,119,118,117,119,121,120,118,117,118,119,121,124,127,127,127,null],[100,102,101,96,93,93,95,90,92,95,97,106,107,106,106,106,104,103,103,104,103,103,102,103,108,109,105,102,101,104,104,103,102,101,98,98,102,105,106,103,104,105,105,106,108,107,107,110,110,108,106,104,103,102,103,104,104,104,107,108,107,105,104,105,106,107,106,105,104,106,107,107,105,104,105,105,103,102,103,103,104,104,104,105,106,106,104,103,103,103,103,105,106,104,102,101,102,102,102,104,103,102,100,99,100,101,102,102,103,104,104,104,103,102,102,103,104,102,101,101,104,106,108,108,106,105,106,107,106,105,105,105,106,106,107,107,106,105,104,103,104,104,102,98,95,96,96,97,96,96,96,96,96,95,96,96,96,95,94,94,93,92,91,91,93,95,95,94,93,94,94,95,95,96,97,98,95,93,92,92,92,94,95,96,95,94,94,94,95,99,102,100,97,94,92,92,94,95,96,96,97,98,97,95,96,97,98,97,95,94,93,93,94,94,93,91,90,91,93,94,92,91,92,92,93,93,92,92,93,94,95,96,96,95,93,93,94,94,94,94,94,95,96,96,96,95,95,95,94,94,94,94,94,93,93,92,92,92,93,94,95,95,95,96,98,100,100,100,99,100,101,101,100,100,101,102,103,104,104,105,105,105,106,106,107,107,106,106,106,107,107,108,109,109,109,107,108,109,111,113,112,109,106,105,106,107,107,106,106,108,111,110,109,107,107,108,108,107,106,106,107,108,108,107,108,110,112,113,109,107,108,109,108,106,105,105,104,104,104,106,107,107,107,107,106,106,106,107,108,108,108,109,109,108,108,109,109,110,109,107,107,108,107,106,107,108,109,109,108,106,104,105,106,107,107,106,105,104,105,110,115,120,121,123,125,126,126,126,127,127,125,123,122,124,126,128,127,126,125,127,129,125,120,120,124,127,123,119,118,115,111,109,110,115,120,123,122,123,125,128,128,128,126,126,129,130,127,127,129,129,130,128,123,122,126,128,128,127,126,127,127,128,130,130,129,126,125,127,129,130,128,127,126,126,125,123,120,119,124,130,130,128,124,121,121,124,126,128,129,131,133,133,132,131,128,127,127,129,130,130,129,127,128,130,130,129,128,127,127,127,126,125,126,125,123,122,120,119,117,119,120,121,119,118,117,119,122,125,127,127,125,null],[99,100,96,93,92,91,91,92,94,98,105,107,107,106,104,104,103,105,105,103,101,100,102,106,108,106,101,100,104,106,106,103,100,99,99,102,105,107,107,105,104,104,105,106,107,107,108,110,109,107,106,105,104,104,104,105,105,106,106,107,108,106,105,106,107,107,107,106,106,107,108,106,103,103,104,105,104,103,104,104,104,104,104,105,105,105,105,105,104,104,104,104,104,104,102,102,103,102,101,102,102,102,101,101,101,101,102,103,103,104,105,104,103,103,104,104,104,103,101,101,105,108,109,108,107,106,107,107,106,105,106,105,105,107,108,108,106,104,103,103,103,102,99,96,97,98,98,98,96,95,95,96,95,95,95,96,95,94,94,93,90,88,88,90,92,95,96,95,94,94,93,94,95,97,98,98,96,94,92,91,92,94,95,94,94,95,94,94,96,100,102,101,98,95,94,95,96,96,96,96,97,98,96,94,95,96,96,96,95,95,94,94,94,94,93,92,92,92,94,94,93,91,91,92,93,92,91,91,92,93,93,94,96,95,94,94,94,94,94,93,93,94,95,95,95,94,95,94,94,94,95,94,93,92,93,92,91,92,93,95,96,96,96,99,102,102,100,100,100,99,100,101,100,101,103,104,105,106,106,105,104,104,105,106,107,107,106,106,106,107,108,108,108,108,108,108,110,112,113,113,112,110,107,106,106,107,108,107,106,107,109,109,108,107,107,108,109,108,107,105,105,107,110,110,108,108,110,111,108,104,103,105,107,107,106,105,104,103,104,105,105,107,108,108,106,105,105,107,109,110,108,107,107,109,109,109,110,111,109,107,107,109,108,106,107,109,110,109,107,106,106,107,110,111,110,107,106,107,110,115,120,124,124,124,124,125,125,125,125,126,126,124,123,125,128,128,127,126,125,126,126,123,118,121,125,127,124,120,119,116,113,111,109,111,116,122,123,124,126,127,127,126,126,127,129,129,127,128,129,129,128,126,122,123,126,126,125,125,127,128,128,128,130,130,128,126,127,129,131,130,128,127,127,126,124,124,121,120,124,130,132,129,124,124,125,127,128,128,128,130,133,132,131,130,129,128,127,128,130,131,131,129,130,130,130,129,127,125,126,127,128,126,125,125,123,121,120,118,117,117,119,120,120,118,117,119,123,126,127,125,123,null],[100,95,88,91,96,90,92,95,104,105,108,108,108,106,105,104,103,102,99,99,100,103,106,106,104,100,98,102,107,107,105,103,99,98,103,105,107,106,105,106,105,105,106,107,106,106,107,108,107,106,107,107,106,105,105,107,107,106,105,106,108,107,104,106,107,106,105,105,106,106,105,103,103,104,105,105,104,103,104,105,105,104,104,104,104,104,105,106,106,105,104,103,103,103,103,103,102,100,100,101,101,101,101,100,101,102,102,101,101,102,104,104,103,103,104,103,104,104,103,102,104,107,109,108,107,107,107,106,106,107,106,105,105,107,109,107,105,103,102,102,102,100,98,97,98,99,97,95,95,94,95,95,94,94,95,94,92,91,91,90,88,88,90,92,93,95,96,96,95,94,94,94,95,97,98,98,96,94,92,91,92,93,94,93,95,96,95,94,95,99,102,102,98,94,94,96,97,97,96,96,97,97,95,94,95,96,95,95,95,95,95,94,94,94,93,94,94,95,95,95,95,93,91,92,93,93,93,93,93,93,93,94,95,95,94,94,93,93,93,93,93,94,94,94,94,94,94,95,95,94,94,93,92,92,93,93,93,93,94,96,96,97,99,101,103,102,100,100,100,99,98,100,102,103,104,105,105,106,106,105,104,105,105,107,107,106,106,106,106,107,108,108,107,108,108,109,111,113,114,113,112,109,107,107,107,107,108,107,105,105,106,107,107,107,108,108,107,106,105,104,105,107,110,111,109,108,108,110,107,102,101,103,105,106,106,106,106,106,106,105,104,106,108,109,108,107,105,106,108,108,107,106,106,107,108,109,110,110,109,107,107,107,107,107,108,109,110,109,108,110,112,114,116,115,112,109,109,112,116,120,123,126,126,125,125,126,126,126,125,124,125,124,124,126,128,128,127,126,124,124,123,120,118,121,126,128,126,122,119,117,115,113,112,112,114,118,120,122,125,126,126,126,128,129,128,128,129,130,128,125,122,121,121,124,126,126,126,127,129,129,129,129,130,131,130,128,128,129,130,129,127,127,128,127,124,122,122,123,125,129,133,130,126,127,128,129,128,127,129,131,130,129,129,129,131,130,130,128,127,130,133,133,131,130,128,128,127,125,124,126,127,126,125,123,120,118,117,115,115,116,118,120,121,119,118,120,124,127,126,124,122,null],[98,92,85,93,100,92,95,98,104,107,108,107,105,104,103,103,101,98,96,98,103,106,107,103,99,97,100,105,108,106,103,102,100,101,106,108,107,105,104,106,107,107,107,107,106,106,106,106,105,106,108,108,106,106,107,109,109,107,105,106,107,106,104,105,107,107,106,105,105,104,103,103,104,105,105,105,104,104,104,105,105,104,104,104,104,104,104,105,105,105,104,103,103,103,103,103,101,99,99,100,100,100,100,100,101,102,102,101,100,101,103,104,102,102,103,103,103,104,105,103,103,106,109,108,107,107,106,106,107,107,106,105,105,107,108,106,104,103,102,102,101,100,98,98,98,97,94,94,94,94,94,94,94,94,94,93,91,90,89,89,90,90,93,94,94,95,96,96,96,95,95,95,96,97,98,98,97,95,92,91,92,93,94,94,96,96,94,92,93,96,100,101,98,94,94,96,96,96,96,97,97,96,95,94,96,96,95,94,93,93,93,93,94,94,93,95,96,95,95,96,98,97,95,93,93,93,93,94,93,93,92,93,94,94,94,93,93,92,92,93,94,95,94,93,92,92,92,93,95,94,92,91,92,93,93,93,94,94,95,96,97,98,100,103,104,102,99,99,100,100,97,98,103,104,103,103,104,105,105,105,105,106,107,108,108,106,105,106,106,107,108,108,107,108,109,110,112,113,114,113,111,108,107,108,108,107,107,106,105,105,105,106,107,108,110,109,105,104,104,104,105,107,109,110,109,108,107,109,107,104,103,103,105,106,106,105,106,107,107,105,104,106,108,109,109,109,107,106,106,106,106,105,105,107,108,109,110,109,108,108,109,108,108,108,108,108,110,111,113,116,119,121,121,118,114,112,113,117,121,123,125,126,125,125,126,127,127,126,125,124,125,126,126,126,127,126,126,125,124,122,120,121,121,122,124,128,128,125,120,118,116,114,113,114,114,114,115,118,121,123,125,126,127,128,128,129,129,128,124,122,119,118,120,123,125,126,127,128,129,129,130,130,131,131,131,130,130,129,130,129,128,128,129,127,124,121,123,126,127,127,131,131,129,129,130,130,129,128,129,129,129,128,128,129,132,133,133,130,127,130,134,134,132,130,129,129,128,125,123,125,126,126,125,123,120,117,115,114,114,116,118,120,120,119,118,121,125,127,127,125,124,null],[95,93,91,91,94,94,97,103,102,104,105,104,100,98,98,99,99,100,102,105,106,104,103,101,99,100,105,108,108,105,101,100,102,104,107,108,107,106,106,107,108,108,107,107,108,107,106,106,105,106,108,108,106,106,108,108,108,107,107,108,107,106,105,105,107,109,108,106,105,104,104,105,105,104,103,104,105,105,104,104,104,104,104,105,104,103,102,103,104,104,103,102,102,103,103,103,101,100,100,101,101,100,100,101,102,102,102,101,102,103,104,104,102,101,102,103,104,103,103,103,104,107,110,108,107,106,106,106,107,107,106,106,106,107,107,105,105,103,101,102,101,100,99,98,97,95,94,94,95,96,95,95,94,93,93,94,94,92,92,92,92,93,93,93,94,96,97,96,95,94,94,96,98,98,97,98,98,96,94,93,93,94,95,95,96,96,94,91,92,95,97,97,95,94,95,96,96,95,96,97,98,96,96,96,97,97,96,93,92,93,93,93,93,92,92,94,95,95,94,96,99,100,99,96,94,92,93,93,92,91,90,92,93,93,94,95,93,91,91,92,94,94,94,93,92,91,91,92,94,94,93,93,93,94,94,94,94,94,95,97,98,100,102,104,104,101,98,98,100,100,97,97,102,104,102,102,103,104,105,106,107,108,109,110,109,107,105,105,106,107,108,107,107,108,111,112,112,112,113,112,109,107,106,107,108,107,106,105,105,105,106,107,109,110,111,109,106,105,105,106,107,106,107,108,109,108,106,108,108,106,105,105,106,106,105,104,105,107,107,106,106,107,108,109,109,109,108,107,106,106,107,106,106,108,109,110,109,108,108,109,110,111,111,110,109,110,113,116,118,122,124,124,122,120,118,117,118,121,123,125,125,125,126,126,126,128,127,125,125,126,127,127,127,127,127,125,124,123,124,124,122,125,127,124,122,125,128,128,123,119,117,114,113,114,114,113,112,112,115,120,124,124,123,124,126,128,126,121,120,123,123,120,120,121,123,124,125,126,127,129,130,130,131,131,131,132,132,131,131,131,130,130,128,125,122,122,126,129,129,126,127,130,132,131,131,133,132,130,128,128,129,130,130,130,131,133,134,133,131,132,132,132,132,131,131,131,129,125,122,123,125,126,126,124,121,118,116,115,116,116,118,119,120,118,118,121,125,127,127,127,127,null],[95,96,92,93,94,96,99,103,101,101,102,100,96,95,97,101,102,104,107,107,104,101,99,99,100,104,108,108,105,103,101,101,104,107,107,106,106,105,105,106,108,108,107,106,108,109,108,108,107,106,108,108,107,108,109,108,106,106,107,109,108,106,106,105,106,108,108,106,105,104,104,104,104,103,103,103,104,104,103,103,103,103,104,105,104,102,102,103,104,103,102,102,102,102,102,103,103,101,101,102,101,100,100,101,102,102,103,103,104,104,104,103,102,101,102,104,104,102,102,103,105,108,109,107,105,105,104,105,107,108,107,106,106,107,107,105,104,102,100,100,99,99,99,98,96,94,94,94,95,96,96,95,94,93,94,95,95,94,94,95,95,94,93,93,95,96,96,96,95,94,93,96,98,97,97,98,98,97,95,94,93,94,95,95,97,97,93,91,92,95,96,95,93,93,95,96,96,95,96,97,98,97,96,96,95,95,95,94,94,94,93,93,92,92,93,94,94,93,93,95,98,101,100,98,95,93,92,92,92,91,91,92,92,92,93,94,93,92,92,93,94,93,92,92,91,90,91,92,92,93,93,94,94,94,94,94,94,95,96,98,100,102,103,103,101,99,98,99,100,99,95,96,100,102,101,102,103,104,106,107,108,109,109,109,108,106,105,106,106,108,109,109,108,109,111,112,111,110,110,109,108,106,106,106,107,108,107,106,105,106,107,108,110,111,110,109,106,106,107,109,108,106,106,108,109,108,107,107,107,107,106,106,107,107,107,106,106,107,106,106,107,108,110,110,109,110,109,108,107,107,108,107,108,109,110,110,109,109,108,108,109,111,113,115,115,116,116,118,120,122,122,123,123,123,123,123,123,124,125,126,125,126,126,126,125,127,126,124,123,125,127,127,126,126,127,127,125,124,125,126,124,126,128,126,123,123,127,129,126,123,120,116,113,113,113,112,111,110,112,116,120,119,117,118,122,124,122,118,119,123,125,123,122,122,123,124,125,125,126,129,129,129,130,131,132,132,131,130,131,132,131,128,125,122,121,124,129,132,131,128,126,128,132,132,131,132,134,134,131,129,128,129,130,131,131,131,132,132,133,133,133,132,131,130,131,133,132,128,124,123,124,124,124,123,120,118,117,117,118,117,118,119,119,118,119,122,125,127,128,129,129,null],[92,93,93,94,96,99,100,101,101,101,99,96,95,96,101,106,106,107,108,104,99,98,97,98,102,106,106,105,103,102,103,104,106,107,106,104,104,103,104,105,107,108,106,105,107,109,110,109,108,107,109,110,109,108,109,108,106,105,106,108,107,107,107,106,105,107,106,105,105,105,104,103,103,104,104,104,104,103,102,102,103,103,104,105,104,103,104,105,104,103,102,102,101,100,101,103,105,103,102,102,102,101,101,101,102,103,103,104,104,104,103,102,101,101,103,105,103,101,102,104,106,107,108,106,105,104,104,105,107,108,108,107,106,107,108,106,102,99,99,98,98,99,99,97,95,95,94,94,95,96,96,95,94,93,93,95,95,94,95,96,96,94,93,94,95,95,95,95,95,94,93,95,97,96,95,96,97,96,96,94,92,92,94,96,98,97,94,92,93,96,97,96,93,93,96,98,97,96,97,98,98,97,96,95,94,93,94,96,96,96,94,93,93,93,94,93,92,92,92,93,96,97,98,97,96,95,93,92,92,92,93,92,92,91,91,92,93,94,94,94,94,93,92,92,91,91,93,93,92,93,94,94,94,93,94,94,95,96,99,100,102,103,103,101,99,98,99,100,100,97,95,96,100,102,103,104,104,104,106,108,108,108,108,108,107,106,106,107,108,110,111,111,110,110,111,111,109,108,107,107,107,107,107,106,107,108,108,107,106,107,107,107,109,110,109,108,107,107,108,109,109,107,107,109,109,108,107,106,106,106,106,107,108,108,108,108,109,107,106,105,106,109,111,110,109,110,109,108,109,109,110,109,108,109,110,110,109,109,109,108,108,111,115,119,122,122,120,119,120,120,121,123,124,125,126,126,126,126,126,126,126,126,127,127,125,125,124,122,122,123,125,125,124,125,127,128,127,127,128,127,124,124,126,126,126,125,127,129,128,127,124,119,115,113,112,112,112,112,113,117,119,117,117,118,119,121,122,122,122,123,123,124,125,124,124,125,126,127,128,130,130,129,131,132,132,131,129,128,129,129,128,125,123,121,121,125,129,132,132,130,129,130,131,132,131,131,133,136,135,132,129,128,129,132,132,130,130,130,130,132,133,132,131,130,130,132,133,130,125,122,121,122,121,120,117,117,118,119,118,117,118,119,119,119,121,125,127,127,128,129,127,null],[91,92,102,100,96,97,98,99,101,100,97,95,96,99,104,108,106,104,105,101,97,95,96,100,104,105,104,102,101,104,106,106,107,106,105,103,102,101,102,104,107,108,105,104,106,107,108,108,108,109,112,112,110,108,107,107,106,104,105,107,108,108,106,106,106,106,105,104,104,104,104,104,104,104,105,106,105,104,103,103,104,104,103,104,105,105,105,105,105,104,104,103,101,99,100,101,102,102,102,103,102,102,102,103,104,104,103,104,103,102,102,102,100,101,103,104,103,101,103,106,106,107,108,107,106,106,105,105,106,107,108,109,108,107,106,105,102,99,98,98,99,100,99,95,94,94,93,93,95,96,96,94,94,94,93,93,94,94,95,96,95,93,93,94,94,94,94,95,95,94,93,95,96,95,94,95,96,97,96,93,91,92,95,97,97,95,92,91,92,96,98,96,93,94,97,99,98,97,98,98,97,97,96,96,95,95,95,96,97,96,95,94,93,93,93,92,91,91,92,94,95,94,95,97,98,97,94,92,92,93,93,92,92,92,92,92,93,96,96,95,93,93,93,92,91,91,93,94,94,94,93,93,94,94,95,96,96,99,102,102,103,103,102,100,99,99,101,102,102,100,99,99,100,103,104,104,105,105,107,108,109,109,108,107,107,107,108,109,110,110,109,109,110,110,110,110,108,108,108,108,108,108,108,108,108,108,107,107,107,108,107,106,107,108,109,109,110,108,107,107,108,109,110,109,108,107,105,104,104,105,106,107,109,110,110,109,109,107,105,104,106,108,109,108,107,108,109,109,108,109,109,108,108,109,110,111,110,109,109,110,112,115,117,119,123,124,122,121,122,123,125,126,125,124,124,125,126,125,125,125,125,126,127,128,127,125,123,121,123,124,124,123,124,125,126,127,128,129,129,128,126,126,127,126,126,127,127,127,126,126,124,120,117,115,113,113,114,113,113,118,124,124,124,124,121,122,126,129,128,125,123,123,125,126,126,125,125,126,129,132,132,130,133,133,131,130,128,126,126,125,124,125,125,124,122,124,126,130,130,130,132,132,131,131,131,130,132,135,136,134,132,129,129,131,132,132,131,129,129,130,131,131,132,131,130,129,129,127,124,121,120,120,120,119,117,117,118,118,117,116,118,120,118,121,125,128,128,128,127,126,125,null],[93,94,102,99,95,95,96,98,99,98,96,96,98,102,106,106,103,100,100,98,97,97,100,104,106,105,102,100,102,107,109,107,106,106,105,104,103,103,103,103,106,108,107,106,106,106,107,108,109,110,111,112,110,107,106,106,106,106,105,105,107,107,106,105,106,107,106,104,104,105,105,106,106,106,106,106,105,105,105,105,104,104,104,103,105,106,105,105,105,105,105,104,102,101,101,101,101,102,103,103,102,102,104,106,105,104,103,102,102,102,102,101,100,101,103,103,103,103,104,106,108,108,108,108,107,107,106,106,106,107,109,110,109,106,103,102,101,100,99,100,102,101,98,94,93,94,93,94,95,97,95,93,94,95,94,94,93,94,95,94,93,93,94,95,94,93,94,95,94,93,94,97,98,96,94,95,97,97,95,91,90,93,96,98,96,94,91,90,93,97,98,96,94,95,97,99,98,98,97,97,97,97,98,97,96,96,97,98,97,96,94,93,93,93,92,91,91,91,93,94,93,92,93,95,98,99,97,93,92,92,92,92,92,93,92,92,94,96,96,94,93,94,94,93,91,91,93,94,94,93,92,93,94,95,95,96,98,100,102,102,102,102,101,101,101,102,103,103,103,103,103,102,102,104,106,105,105,107,108,109,109,110,109,108,107,108,110,111,110,108,107,108,109,110,109,109,108,108,108,108,108,108,108,108,108,107,107,108,108,108,107,107,107,107,108,110,111,108,105,105,107,110,110,109,107,105,104,104,105,105,106,106,107,109,110,109,109,108,106,105,106,107,107,106,106,106,108,109,108,107,107,108,109,110,111,111,110,110,110,114,117,120,120,121,123,124,123,123,124,125,126,125,124,122,121,123,125,125,125,125,125,126,127,128,127,125,122,122,124,125,123,122,124,126,126,127,127,128,128,128,128,128,129,125,124,126,126,125,124,124,125,124,121,116,113,113,114,113,112,119,126,129,130,129,127,126,129,133,133,129,125,125,125,127,128,127,126,126,129,132,132,132,134,134,131,130,129,127,124,122,125,128,129,126,122,121,123,126,127,129,132,132,130,131,132,132,133,134,135,136,135,134,132,132,133,134,132,131,130,129,129,130,132,132,130,129,127,125,124,122,121,120,120,119,117,117,118,117,116,116,117,118,119,123,128,130,130,128,127,125,123,null],[97,97,98,96,95,97,98,98,97,97,98,98,101,103,105,103,100,97,97,97,97,100,105,109,108,105,101,101,104,109,110,106,106,108,107,105,105,104,104,103,105,107,109,108,106,105,106,108,108,108,109,109,107,107,107,106,106,108,107,106,107,107,106,105,106,108,107,105,105,106,107,107,106,106,105,104,103,104,106,106,104,104,104,105,104,104,104,105,105,104,103,103,103,103,103,103,103,103,103,102,102,102,104,106,106,104,102,101,102,102,101,100,101,102,103,104,105,104,105,107,109,109,108,109,109,107,105,106,106,107,109,109,108,105,100,98,99,100,101,103,103,100,96,93,92,93,94,95,96,97,95,94,94,95,96,95,94,94,94,93,93,94,95,95,94,94,94,94,93,93,95,99,102,99,95,94,96,96,93,89,89,93,96,97,95,93,90,91,95,99,98,95,94,96,98,99,98,96,95,96,97,99,100,99,97,96,98,100,98,94,92,92,92,92,91,91,92,92,93,93,92,92,93,94,97,100,100,95,92,92,92,92,92,92,92,92,93,93,93,92,93,94,94,94,93,92,92,93,93,91,91,93,94,95,94,95,99,100,99,99,99,100,101,101,103,105,106,105,104,104,104,104,104,106,107,106,106,108,109,109,110,110,110,109,108,109,111,112,110,108,107,108,109,109,109,108,107,107,107,107,108,108,107,107,107,107,108,108,108,107,107,109,108,107,107,109,109,106,104,104,107,109,109,108,106,105,105,105,106,106,105,104,104,106,109,110,110,109,108,108,108,108,107,106,104,105,107,109,109,108,108,109,111,111,110,110,110,111,113,117,121,124,124,125,125,124,122,122,122,123,123,121,121,121,122,124,125,126,126,126,127,127,126,126,125,125,124,123,124,124,122,123,125,127,127,127,126,125,125,128,130,131,129,125,123,124,125,125,125,126,127,130,126,118,112,111,113,112,112,117,124,127,128,130,130,129,130,133,136,132,130,130,127,129,132,132,128,128,129,131,132,132,133,133,133,132,130,129,125,125,129,133,131,127,123,122,122,124,126,129,130,130,130,132,133,133,133,133,135,135,135,136,136,135,135,134,134,132,131,130,131,132,132,131,131,130,128,127,127,125,122,120,119,119,118,118,117,117,117,117,116,117,122,127,130,130,129,127,127,126,125,null],[97,98,98,97,98,100,100,98,97,98,100,101,102,101,101,99,98,97,98,98,98,102,107,110,107,103,102,104,107,110,110,108,108,109,108,107,106,105,103,102,103,105,105,105,104,104,106,107,107,107,107,107,108,108,108,107,107,108,107,106,108,108,106,104,106,108,107,105,106,107,106,105,105,105,105,104,103,104,104,104,103,103,104,105,103,103,104,105,105,103,101,102,104,105,105,104,104,103,103,102,101,101,102,105,106,105,103,102,102,103,102,101,103,104,104,105,105,105,104,106,109,109,108,109,109,107,107,107,108,109,109,108,108,105,100,96,98,100,101,103,102,99,95,93,92,91,92,95,97,97,96,95,94,95,95,95,95,95,95,94,94,94,94,94,94,95,95,93,91,93,97,100,100,97,94,94,96,96,91,88,89,93,96,96,95,94,92,93,97,100,99,96,94,95,98,98,97,95,95,96,97,98,99,99,97,96,98,98,96,93,92,92,92,93,92,92,92,92,92,93,92,92,93,94,96,100,100,98,95,93,92,91,91,92,92,93,93,93,92,92,92,94,95,94,93,92,92,92,92,92,93,95,96,95,93,96,100,99,98,97,97,97,99,100,102,104,105,106,106,105,104,104,105,106,107,106,106,107,108,109,109,109,109,108,108,109,111,112,110,108,108,108,109,108,107,106,106,106,106,107,108,109,108,106,106,107,108,108,107,107,108,109,109,107,106,106,107,106,105,105,107,108,107,106,105,106,106,106,107,106,105,103,103,105,108,110,110,109,108,107,107,107,107,106,106,106,108,109,110,110,110,110,110,110,109,108,109,110,113,117,122,125,126,127,126,124,121,120,122,121,120,121,122,125,126,126,125,126,127,128,129,127,124,123,125,125,123,122,122,124,124,125,127,128,127,126,125,124,126,129,130,131,129,126,125,126,126,125,125,127,130,132,127,118,111,110,111,112,114,117,120,123,125,128,131,131,131,133,135,133,133,133,132,132,134,133,131,131,131,131,131,132,132,133,134,133,131,127,126,128,133,135,132,129,126,124,122,122,125,128,128,130,132,132,131,131,132,133,134,134,134,136,138,138,137,136,136,134,132,131,132,134,134,133,132,132,131,131,128,124,120,118,118,119,119,119,117,118,119,119,118,119,124,128,130,130,128,126,127,127,126,null],[99,100,100,101,102,102,99,97,97,100,103,104,102,98,97,96,96,98,99,99,99,102,105,107,104,103,105,107,108,109,109,109,109,109,108,105,103,102,100,99,98,97,97,96,97,99,101,101,102,103,105,106,107,107,107,108,108,107,106,106,109,108,106,105,106,107,106,105,105,106,105,104,104,105,105,105,105,104,103,103,103,104,105,105,103,103,104,105,104,102,100,101,104,106,104,104,104,103,102,103,101,99,100,102,105,105,104,103,102,103,103,102,103,104,105,104,104,104,103,105,108,108,106,108,109,108,108,108,109,109,108,107,108,107,103,99,99,101,101,101,100,97,95,93,92,91,92,94,97,97,96,95,95,95,94,94,94,95,96,96,95,94,93,94,95,96,95,92,91,94,98,100,98,95,93,95,97,95,90,87,89,93,96,97,96,95,94,96,99,100,98,96,95,97,98,97,95,94,94,96,97,97,98,98,97,97,96,94,93,93,94,93,93,93,93,92,92,92,92,93,92,92,94,95,96,98,99,98,97,94,92,91,91,92,93,93,94,94,93,92,92,95,95,94,94,94,94,94,94,95,96,97,96,95,96,98,100,99,98,98,96,94,95,97,100,102,104,106,107,106,104,103,103,105,106,106,105,105,107,108,108,109,109,108,108,109,110,111,111,109,108,109,108,108,106,105,105,105,106,107,108,109,108,108,107,107,107,107,107,108,108,109,108,107,106,105,105,107,108,106,106,107,106,105,104,105,106,106,107,107,105,104,105,106,108,110,111,110,108,107,107,107,107,107,107,108,108,108,110,111,111,112,112,111,111,110,111,110,110,114,120,123,125,125,124,122,120,121,123,123,123,124,125,127,127,126,125,125,127,129,129,127,123,122,125,126,123,121,121,124,126,127,128,127,126,124,123,124,126,129,130,130,129,126,126,128,127,126,127,129,131,130,126,119,113,110,110,113,115,116,117,119,123,127,129,130,132,133,133,131,133,135,135,135,135,133,133,134,134,132,131,132,132,133,134,134,130,126,128,132,134,133,132,132,131,127,124,122,124,126,127,130,132,131,129,128,130,131,132,133,133,135,137,139,138,137,136,135,133,132,132,134,135,134,133,133,134,132,127,122,118,117,117,119,120,119,118,119,120,120,121,123,125,128,130,129,127,126,127,128,127,null],[101,101,101,104,104,101,97,95,97,101,104,103,99,96,95,96,96,96,97,98,99,102,103,103,102,104,109,109,107,108,110,110,109,108,107,102,97,95,95,94,92,89,88,87,87,89,91,92,94,97,99,101,103,104,105,106,107,107,106,106,107,107,106,107,108,107,106,105,104,104,105,104,104,105,105,105,105,104,103,104,105,106,106,106,104,104,104,104,102,100,100,101,104,105,104,104,105,103,102,103,102,100,99,100,101,104,105,103,102,103,103,102,101,102,103,103,104,105,104,105,107,108,107,107,108,108,108,107,107,107,107,108,109,109,105,102,102,102,101,101,99,97,94,92,93,93,93,94,96,96,96,96,96,95,95,94,94,95,96,96,95,94,94,94,95,95,95,93,93,96,100,101,99,96,95,96,98,95,89,87,89,93,96,97,97,97,97,98,99,99,97,96,97,99,99,96,95,95,96,96,96,97,97,97,97,96,93,92,92,94,94,94,93,93,92,92,92,92,93,92,92,94,95,95,94,95,96,97,97,95,93,93,92,92,92,93,95,95,93,92,93,94,94,94,95,96,96,96,97,97,96,96,95,96,100,103,102,100,98,99,97,93,93,97,100,102,104,105,107,106,104,103,104,104,104,105,105,105,106,106,107,109,110,109,108,108,108,109,110,111,110,109,108,107,106,105,106,106,107,108,109,109,109,109,109,108,107,107,107,107,108,108,107,106,105,105,106,109,110,108,106,106,107,106,104,104,105,105,106,107,106,106,107,107,109,111,113,111,110,109,109,109,109,109,108,107,108,109,110,112,113,115,117,118,118,118,115,111,110,111,115,119,121,122,121,120,121,124,127,127,127,127,125,124,124,125,125,125,126,127,127,125,123,124,126,125,122,119,122,126,127,126,126,125,123,123,123,124,125,127,129,130,129,126,125,126,127,128,128,130,130,128,124,120,116,114,114,114,113,113,114,116,121,127,128,129,132,133,132,130,132,134,134,134,136,135,135,135,135,133,133,134,134,134,133,133,131,128,130,133,133,131,131,133,133,130,127,124,122,123,126,128,130,130,131,130,129,130,131,132,133,134,136,137,137,136,135,135,135,134,133,132,133,133,134,134,132,128,124,121,119,118,118,119,120,120,120,120,120,120,121,124,126,129,129,128,126,126,128,129,127,null],[100,101,104,106,106,103,99,97,99,101,102,100,97,97,97,96,96,96,97,98,99,100,101,101,102,106,109,108,106,107,109,110,109,108,106,101,95,92,92,91,89,87,86,85,84,84,85,88,91,92,94,96,98,95,95,99,105,108,107,106,106,106,106,108,108,106,105,105,104,104,105,105,105,105,105,105,104,103,105,106,106,106,105,105,105,105,104,103,101,100,101,103,103,104,105,104,103,103,103,103,101,99,99,99,100,102,103,103,104,103,102,101,100,101,102,102,104,105,105,105,107,108,107,107,107,108,108,107,107,106,106,107,108,107,105,104,103,102,101,100,99,97,94,92,93,94,95,95,95,95,95,96,95,95,95,94,94,94,95,96,95,95,95,95,94,94,95,94,96,98,100,101,99,98,97,96,96,94,89,86,90,95,97,97,97,96,97,98,99,98,96,96,98,101,99,97,97,97,95,94,93,94,94,96,97,96,94,93,93,94,95,94,93,93,92,92,93,94,93,93,94,95,96,95,95,95,94,93,94,96,96,95,94,92,92,93,95,94,92,92,93,94,94,94,95,97,97,98,99,98,97,95,96,99,102,103,101,98,98,101,100,97,96,99,103,105,105,106,106,106,105,104,104,103,103,104,106,106,107,107,108,109,109,108,108,108,108,108,109,110,110,108,107,107,106,106,107,108,108,108,108,109,110,110,110,110,110,109,109,108,108,108,106,104,105,106,108,111,111,109,106,106,107,106,105,103,104,105,106,107,107,107,108,108,109,112,113,111,111,110,109,109,110,110,109,108,109,110,111,111,113,119,124,124,123,121,117,113,111,110,111,114,118,120,121,123,126,127,127,127,127,126,124,122,123,124,124,125,125,125,124,123,124,125,126,124,121,119,122,127,127,125,124,122,123,125,125,126,126,127,128,128,128,126,125,127,128,129,129,128,128,127,125,122,120,121,120,117,112,112,113,114,119,125,127,129,133,134,131,129,130,133,132,132,135,136,133,133,133,135,135,135,135,134,133,133,133,131,130,131,132,132,132,132,134,133,131,127,123,121,123,125,128,130,132,131,130,130,133,133,133,134,135,135,135,136,135,135,136,135,133,131,129,129,132,131,127,123,121,119,119,118,118,117,118,119,120,121,121,120,122,125,128,130,129,128,127,127,129,130,128,null],[98,100,107,109,108,105,102,101,100,99,99,97,96,98,98,97,96,96,98,99,99,99,99,101,104,106,106,106,105,107,109,109,109,108,106,102,98,94,93,91,91,89,89,88,87,84,85,91,94,92,92,93,93,92,92,97,103,106,107,107,105,105,107,108,107,105,105,105,105,105,105,106,106,105,105,105,103,103,106,107,106,104,104,104,104,104,103,102,101,101,103,104,103,104,105,103,101,103,104,102,100,98,98,99,100,100,101,103,104,103,101,100,101,102,102,103,104,105,106,107,107,107,108,107,107,108,108,108,107,107,107,107,107,105,104,103,101,101,101,100,98,97,95,93,91,92,94,95,96,95,95,95,95,95,95,95,95,94,95,95,96,96,96,95,94,95,95,95,98,101,101,100,99,99,97,95,95,94,89,88,93,97,98,97,96,96,96,97,98,97,95,96,98,99,98,97,98,97,94,93,91,90,91,93,96,98,97,96,95,95,94,93,93,93,94,94,94,95,94,94,95,96,96,96,95,96,94,92,92,96,99,98,95,93,93,94,94,93,92,92,94,95,95,96,96,97,98,99,99,98,97,97,98,101,102,101,99,96,98,103,104,101,101,103,105,107,107,106,106,106,107,106,104,104,104,105,106,107,108,108,109,110,109,108,108,109,108,108,108,108,108,108,108,107,107,107,108,109,108,107,108,109,110,109,109,110,111,112,111,109,109,108,106,104,105,106,108,111,112,110,107,106,106,106,105,104,104,105,107,108,108,108,108,109,111,113,113,112,111,110,109,109,110,110,109,109,110,111,112,112,116,123,128,126,124,120,117,114,113,111,110,112,115,118,121,125,128,127,123,122,123,123,121,120,123,123,122,124,125,124,123,122,123,125,124,122,120,121,123,125,125,124,122,122,124,127,129,129,128,128,127,126,126,127,127,129,130,130,130,127,125,128,128,123,123,127,126,120,113,113,115,115,117,122,125,129,133,133,130,128,129,132,132,131,133,133,131,129,130,134,136,135,134,133,133,134,134,134,131,129,132,134,133,132,134,136,134,129,126,123,122,123,126,128,130,129,130,133,135,134,132,133,134,134,135,136,135,135,135,135,134,131,128,126,126,126,121,119,118,117,118,118,116,115,117,119,121,122,121,120,121,125,128,130,129,128,128,130,130,129,129,null],[98,99,105,106,105,102,100,99,98,98,97,96,96,96,97,98,97,97,99,100,99,100,102,103,105,106,106,105,105,106,108,109,107,106,106,105,101,96,93,92,91,90,90,89,87,85,87,94,100,101,99,93,89,88,90,93,97,97,102,108,107,106,107,107,107,106,106,106,107,106,105,104,105,104,104,105,105,105,105,106,105,104,104,104,104,103,102,102,102,102,103,104,103,103,104,101,98,100,103,102,100,98,99,99,99,100,102,102,101,100,100,101,100,100,102,104,105,105,106,107,108,109,109,108,108,109,109,108,107,107,107,107,107,106,105,103,100,99,100,98,97,97,95,90,90,92,95,96,96,95,95,96,96,95,94,95,96,95,94,95,95,96,96,95,95,97,97,95,98,101,102,100,99,99,97,95,95,95,91,91,95,97,96,96,97,98,99,99,98,95,93,93,94,95,94,93,95,95,95,94,93,91,90,91,95,98,100,99,97,95,93,92,93,95,95,94,94,95,94,93,94,95,95,94,94,94,94,93,94,96,97,98,98,95,94,94,94,93,92,92,95,97,98,97,96,97,99,100,99,98,98,100,101,100,100,99,99,100,101,104,105,104,102,104,107,109,108,107,106,106,106,106,106,107,107,105,104,106,107,108,110,110,109,109,109,108,108,107,107,108,109,109,110,108,107,108,108,108,108,107,108,109,109,108,109,110,112,112,111,110,108,107,106,106,106,106,107,109,111,110,108,107,107,107,106,106,106,107,108,110,111,111,110,111,112,112,112,112,111,110,110,110,110,110,110,110,111,112,115,117,120,126,129,126,121,118,118,118,116,113,112,112,113,115,117,120,122,121,118,118,119,119,117,117,121,122,122,124,125,125,124,124,124,123,122,120,119,121,122,122,121,121,122,124,126,128,130,131,131,129,129,127,126,128,130,131,131,132,131,129,128,130,129,123,125,129,128,121,113,113,116,116,115,118,122,127,131,131,129,130,131,132,132,131,131,130,128,128,130,133,134,133,133,132,131,133,134,133,131,131,133,135,134,134,135,135,133,129,129,127,124,123,124,125,125,126,129,132,133,132,132,133,134,134,135,136,136,134,133,134,135,132,128,124,123,122,119,116,115,116,117,118,117,116,118,120,123,122,119,119,120,124,127,129,129,128,128,130,131,129,128,null],[98,98,101,102,101,98,97,96,98,98,97,97,97,96,96,97,98,100,102,102,101,103,104,104,104,105,108,107,105,105,107,109,106,104,105,105,102,96,92,92,92,90,90,88,86,86,90,97,103,104,103,95,86,85,86,89,92,90,92,102,108,110,108,107,106,106,106,106,106,107,106,105,104,104,104,105,106,106,105,105,105,104,105,105,104,102,102,103,103,102,102,102,103,102,102,99,96,99,102,102,100,99,99,99,99,101,102,100,97,97,100,101,99,98,100,103,105,106,106,107,108,109,109,109,109,109,109,108,107,107,107,107,107,107,105,103,101,100,99,97,96,98,95,89,90,92,95,96,96,95,95,95,96,95,94,96,97,96,95,94,95,96,96,95,96,97,96,94,96,100,101,100,99,97,96,95,96,96,94,93,95,96,94,95,97,99,99,99,97,95,92,92,93,93,92,90,89,92,94,95,94,92,90,90,92,96,99,100,99,96,93,92,93,95,95,94,93,93,93,92,93,94,94,94,93,92,94,96,96,95,94,96,99,96,94,95,96,95,94,95,97,100,100,97,96,98,100,101,100,99,100,101,101,99,99,101,103,105,105,105,105,104,104,105,107,108,108,107,107,106,106,106,107,109,109,106,104,105,106,107,109,110,109,109,109,108,106,105,106,108,109,110,110,109,107,107,108,108,107,108,108,108,108,107,108,109,110,111,111,110,108,106,106,107,107,106,106,107,109,110,109,108,107,107,107,108,108,108,109,112,113,112,111,112,112,112,112,112,111,110,111,112,111,111,111,111,112,115,119,122,124,126,127,125,122,120,121,121,120,117,115,114,113,112,113,113,114,114,114,114,115,114,113,114,116,118,119,121,122,124,125,125,123,121,120,119,120,120,120,119,119,119,121,125,127,127,129,131,130,129,129,129,128,130,131,131,132,132,131,131,130,131,127,122,123,128,127,120,112,113,117,117,114,115,119,124,127,129,130,133,134,134,133,132,129,128,128,130,131,131,132,132,133,132,131,132,133,133,133,133,133,134,134,134,134,133,131,129,129,128,126,125,125,124,124,125,128,130,131,130,131,132,133,134,135,136,135,133,132,134,136,133,129,126,123,121,118,116,116,117,118,118,119,118,118,121,123,121,117,118,120,124,126,128,129,128,128,129,130,130,129,null],[98,98,99,99,99,98,98,100,100,99,98,98,98,97,96,97,101,104,106,104,104,106,106,103,103,105,109,109,107,105,106,107,107,106,104,102,99,94,92,92,92,91,91,89,88,89,93,100,101,98,98,95,89,88,84,86,88,88,88,97,107,110,108,106,105,105,105,104,105,106,107,106,106,105,105,105,105,105,105,105,105,105,107,106,103,101,101,102,102,101,101,101,102,102,101,98,96,99,101,100,100,100,99,98,99,100,99,97,96,97,100,101,98,96,97,100,103,106,108,108,107,108,108,109,109,108,108,108,107,107,107,107,106,105,105,104,103,102,100,97,96,95,92,89,90,92,94,94,94,93,93,93,93,93,94,96,97,96,95,95,95,95,95,95,95,95,94,93,95,98,98,98,97,96,95,97,97,96,95,95,96,94,93,94,97,98,98,97,95,93,93,95,96,95,92,88,86,88,92,93,93,92,90,90,91,94,97,100,100,96,93,92,93,93,93,93,93,93,93,92,92,93,95,95,93,92,94,96,96,94,93,96,99,98,95,96,98,98,97,98,100,101,100,98,99,100,101,102,103,103,102,100,98,98,101,105,107,107,106,105,104,104,106,107,107,107,107,107,107,106,105,105,106,109,109,108,107,106,105,106,107,109,109,108,108,108,106,105,106,108,109,110,110,107,106,106,107,108,108,108,107,107,106,106,106,107,109,110,110,110,108,107,107,108,107,106,106,107,108,110,110,108,107,107,108,109,110,109,110,111,112,111,111,112,112,111,111,111,110,110,111,112,113,113,114,115,117,119,123,125,126,127,127,127,125,123,124,124,123,121,119,117,116,115,113,111,111,112,114,115,114,112,111,111,113,115,116,115,117,121,124,123,119,116,116,119,121,119,117,119,120,121,121,122,124,126,127,128,128,127,128,130,132,131,130,131,131,131,131,132,132,129,124,120,124,128,127,119,111,113,117,117,114,113,116,119,122,125,129,135,136,134,132,130,127,126,128,131,131,128,129,132,133,133,132,132,133,135,134,133,132,132,132,132,132,132,132,130,128,126,127,127,127,127,128,128,129,129,130,130,130,131,132,134,135,134,134,134,133,135,136,134,132,130,125,120,118,117,118,118,119,120,120,119,118,121,122,120,118,119,122,125,127,129,129,128,127,129,130,130,131,null],[99,98,99,99,99,100,101,102,99,97,98,98,97,97,97,100,104,107,109,107,107,107,105,103,102,104,107,108,107,106,105,105,106,106,104,101,97,94,92,91,90,90,90,90,91,94,98,101,98,94,93,94,92,87,83,84,85,86,87,93,99,99,77,103,114,107,104,105,103,105,108,108,106,105,105,105,104,104,104,105,106,106,106,106,104,102,100,101,101,100,99,100,102,103,101,99,99,99,100,100,100,100,99,98,99,99,97,98,98,99,100,101,99,97,97,98,102,107,108,107,107,107,108,108,108,107,107,108,108,107,106,106,107,106,104,103,104,104,101,99,92,81,81,89,90,92,95,94,93,92,92,92,93,93,94,95,96,96,95,95,94,94,94,94,93,94,94,95,96,96,95,95,95,94,94,96,97,96,95,94,95,95,94,94,96,97,97,96,94,93,95,99,101,98,93,88,86,88,91,93,92,90,90,91,93,95,97,98,98,96,95,94,93,93,93,94,94,93,93,93,93,93,95,95,94,94,94,95,95,94,96,98,99,98,97,96,99,100,99,98,100,101,100,99,100,101,102,102,104,103,101,98,98,99,103,107,108,107,105,104,104,104,106,107,106,106,107,108,108,106,104,104,106,108,109,109,110,109,106,105,106,108,108,107,107,107,107,107,106,107,108,110,109,107,107,107,107,107,107,107,106,106,106,106,105,106,108,109,109,110,110,109,109,108,106,106,107,108,109,110,111,111,111,109,108,109,110,109,110,110,110,110,111,112,113,112,111,110,110,110,111,113,115,117,119,121,123,124,125,127,126,127,127,126,125,126,126,126,124,122,119,119,120,120,120,116,114,114,118,119,118,116,114,113,116,117,115,113,113,117,120,119,117,114,116,119,120,119,119,121,123,123,122,121,122,125,126,127,127,126,126,129,132,131,130,130,131,132,132,133,131,127,124,124,128,130,126,118,113,113,115,115,115,114,115,116,117,119,123,128,130,130,130,129,129,129,130,133,133,130,130,131,132,132,132,134,135,136,134,131,131,131,131,131,132,133,133,132,130,129,129,127,126,128,131,131,131,130,131,132,132,132,132,132,133,133,134,135,135,135,133,132,133,132,126,121,120,119,120,120,120,120,121,120,120,121,122,120,119,122,123,126,128,130,130,128,127,128,129,131,133,null],[101,100,101,100,101,102,103,102,98,98,100,100,98,97,99,103,107,108,108,107,107,105,103,103,104,105,106,106,107,107,105,103,104,106,105,102,98,96,94,92,91,91,91,93,95,99,101,100,96,93,92,93,93,90,86,85,83,83,84,89,94,99,101,103,107,109,108,105,103,105,108,108,106,105,105,105,104,103,104,106,107,107,105,105,105,103,99,99,100,100,99,98,100,101,101,101,100,99,99,100,100,100,99,99,99,98,97,99,100,101,101,101,101,100,98,98,101,105,106,106,106,107,108,107,106,106,106,107,108,106,106,108,109,107,104,103,104,104,100,99,89,72,73,89,90,93,95,95,93,92,92,93,93,93,94,95,95,95,95,94,92,92,93,93,92,94,96,98,97,96,94,93,93,93,94,95,95,95,94,93,94,95,96,95,95,96,97,97,95,93,96,101,103,100,95,89,88,88,90,92,92,90,89,91,95,97,98,97,96,96,97,96,94,94,95,95,94,94,94,95,95,94,94,95,96,96,95,95,95,97,99,99,99,98,97,96,97,99,99,98,98,99,100,99,100,102,102,102,102,101,100,98,98,100,102,106,108,106,104,104,103,103,104,106,106,106,108,109,109,106,104,105,107,108,109,110,111,110,107,105,106,106,106,106,106,106,107,108,107,107,108,110,109,107,107,108,107,107,106,106,106,107,107,106,106,107,108,109,109,110,110,110,109,108,106,107,108,110,111,110,111,114,114,111,109,109,110,109,109,110,110,110,111,112,113,112,111,110,111,111,113,116,118,121,123,126,126,126,127,127,127,128,127,125,124,124,124,125,124,121,119,121,124,126,126,123,119,119,122,125,125,122,119,119,121,122,119,115,113,114,116,118,118,118,118,118,120,121,123,124,126,126,125,124,123,123,125,127,128,127,126,128,130,130,130,130,131,132,133,132,130,127,127,130,133,132,125,120,116,114,113,114,116,117,118,118,117,116,117,120,122,122,125,128,131,133,134,134,133,132,129,129,130,130,130,132,133,133,131,130,130,131,131,131,133,135,134,132,132,132,130,126,125,127,130,131,132,131,132,132,133,133,133,131,132,133,134,136,136,134,130,129,130,129,124,121,121,121,120,119,119,120,121,121,122,123,122,120,120,122,123,125,129,131,131,129,127,128,129,130,132,null],[104,105,104,104,104,104,105,104,102,102,104,103,100,99,101,104,105,105,105,105,105,103,102,103,104,106,108,107,105,106,105,102,103,107,107,104,100,99,98,96,94,95,96,98,101,101,99,97,94,93,92,92,94,95,91,82,107,83,83,86,90,107,185,107,83,107,115,106,104,106,108,109,107,106,105,104,104,105,105,105,106,106,106,105,105,102,99,99,102,102,100,98,97,97,100,101,100,99,99,99,100,99,99,99,97,97,98,98,100,100,101,102,102,102,100,99,101,104,104,104,106,107,108,106,105,106,107,107,107,106,107,109,109,106,103,103,104,104,100,97,92,87,87,90,92,96,96,95,94,93,93,93,93,93,94,95,95,95,95,94,92,92,93,93,93,94,96,97,97,98,97,95,95,95,95,95,95,95,94,93,94,96,97,96,95,97,98,97,95,93,95,99,102,101,98,94,90,88,90,92,92,90,90,91,93,95,97,97,96,96,96,96,95,95,96,96,95,94,94,95,95,95,95,95,96,96,95,96,98,98,98,98,98,96,93,93,95,97,96,96,98,100,100,100,100,101,101,101,100,101,100,98,96,97,101,104,107,106,105,106,105,104,104,106,107,108,108,108,108,106,105,106,107,109,109,110,110,109,107,106,105,106,106,105,104,105,106,108,107,107,108,110,109,107,106,107,107,107,107,106,106,107,107,106,106,106,107,108,109,111,111,110,109,107,107,108,109,110,110,109,111,113,113,112,111,111,112,110,109,110,112,112,111,111,112,112,112,112,114,114,115,117,121,124,126,125,125,125,126,127,128,129,128,125,123,123,122,122,122,122,121,123,127,130,129,125,121,122,126,128,128,127,123,122,125,126,123,119,115,114,116,120,123,124,122,119,120,124,126,127,129,129,128,127,125,122,122,125,128,128,128,129,130,130,130,129,130,131,131,129,127,128,130,133,132,130,126,123,120,116,113,115,118,120,123,123,121,119,118,118,117,117,122,129,133,135,134,132,129,126,125,125,125,124,124,126,128,128,128,129,130,130,130,131,132,133,134,134,134,132,128,126,126,126,127,128,131,132,132,130,131,132,132,132,132,133,134,135,136,133,129,127,126,124,120,119,120,120,118,117,118,120,121,122,123,123,122,120,119,122,123,126,129,131,131,128,126,127,129,131,133,null],[106,107,107,107,107,106,107,107,107,107,108,105,102,102,102,103,102,102,102,103,103,103,103,103,104,106,108,107,105,106,105,104,105,107,109,107,105,103,102,99,99,100,100,101,100,97,93,92,92,92,90,90,92,95,93,85,108,86,84,84,86,100,167,116,84,106,114,107,106,107,107,107,107,107,105,104,105,105,105,105,105,105,106,105,105,103,101,101,102,103,101,98,96,96,99,101,100,100,99,98,98,98,99,98,96,96,97,98,98,99,101,102,101,101,101,99,102,105,105,104,106,108,107,106,106,107,108,107,107,107,107,109,107,104,102,103,104,103,100,95,92,90,89,90,93,96,96,95,94,93,93,93,92,93,95,96,96,95,94,93,93,93,92,92,94,95,95,95,97,100,100,98,97,96,96,96,95,94,93,94,96,98,97,96,95,97,98,96,93,92,94,97,100,101,101,98,93,90,89,91,90,89,89,91,92,94,96,97,97,96,95,96,96,97,97,96,95,95,95,95,95,95,96,97,97,97,96,96,97,96,95,98,99,95,90,91,94,97,96,95,97,100,100,98,98,99,99,99,100,102,102,98,95,95,100,104,105,105,105,106,106,105,105,106,108,108,107,106,107,107,107,106,107,108,109,109,109,108,107,105,105,105,105,104,104,105,106,107,107,108,109,110,109,106,105,106,106,107,107,107,107,108,109,107,106,106,107,108,110,110,110,109,108,107,108,109,109,110,110,109,109,110,111,112,113,113,112,110,110,111,114,114,112,111,110,112,113,114,116,116,117,118,120,122,123,122,124,125,126,127,127,128,128,126,125,123,121,121,123,124,125,126,128,131,129,126,124,126,128,129,128,126,123,124,127,128,126,122,117,114,117,122,127,128,126,121,120,122,124,125,127,130,131,131,129,124,122,124,126,126,126,128,130,130,129,129,130,131,129,127,126,129,132,132,131,130,128,125,120,116,114,115,118,123,126,126,124,123,124,123,120,118,120,127,130,130,128,127,124,120,121,123,125,124,123,125,125,125,126,130,132,132,131,131,132,132,133,134,133,131,127,127,128,128,127,126,129,132,132,131,130,131,132,132,132,133,133,133,134,133,131,129,124,120,118,119,120,120,119,118,118,119,121,123,123,123,122,120,119,121,122,124,129,131,131,129,127,127,128,131,133,null],[104,106,107,107,107,108,109,110,109,109,108,104,101,101,102,102,101,101,103,103,103,103,103,103,103,104,106,106,106,105,105,106,106,106,109,109,108,106,103,100,101,102,100,97,94,90,88,89,90,89,87,86,87,90,93,96,67,52,85,84,84,88,102,108,172,113,87,109,108,106,106,105,106,106,106,105,105,105,105,104,104,105,105,106,105,105,104,101,100,101,101,99,98,98,99,100,100,99,98,96,97,97,98,96,94,95,96,98,97,97,100,101,100,100,101,101,103,105,106,106,107,109,108,108,108,108,107,107,108,108,107,107,105,103,103,104,104,103,100,95,91,92,92,91,94,94,94,94,93,93,93,92,91,92,94,96,96,94,92,93,94,92,91,92,94,96,95,95,98,101,101,99,97,96,97,97,95,93,93,96,99,99,96,94,95,97,97,94,91,90,93,96,99,100,100,99,97,94,91,90,89,88,89,90,91,93,95,96,96,97,96,96,97,97,97,97,97,96,95,95,96,97,98,98,98,98,98,97,95,94,96,100,99,94,90,92,95,97,97,96,96,98,98,96,95,97,98,99,101,104,104,100,96,97,101,104,104,103,104,105,106,106,106,107,108,108,106,106,107,108,108,106,107,107,107,108,108,108,107,105,105,105,105,105,105,105,106,106,107,107,108,109,108,107,107,108,106,105,106,107,108,109,110,109,107,106,107,109,111,110,109,109,108,108,108,108,109,110,111,110,109,108,110,113,114,113,111,111,111,113,114,114,112,110,110,113,115,116,115,115,117,119,119,118,119,121,124,126,127,126,126,126,127,128,128,125,124,124,127,127,127,128,130,131,131,130,131,130,130,130,127,123,122,124,128,130,128,124,119,115,115,121,126,130,129,125,121,120,120,121,124,128,130,131,131,128,126,126,125,124,123,125,127,128,128,129,131,132,131,129,128,130,131,131,132,132,131,125,119,115,115,115,118,121,124,124,123,124,127,129,128,124,122,122,124,123,122,124,123,120,121,125,129,130,128,129,128,125,126,131,135,135,133,133,133,132,132,132,132,132,129,130,131,131,131,129,129,130,132,133,132,131,131,131,131,132,132,132,133,134,134,132,126,121,120,120,120,121,121,121,119,118,121,124,123,122,121,120,121,122,120,122,127,131,131,130,128,128,128,130,131,null],[102,104,106,105,105,107,109,109,107,107,107,104,101,101,102,102,101,101,102,103,103,102,102,103,103,102,104,106,106,105,105,107,107,107,110,110,107,105,102,98,97,97,94,90,89,88,89,88,88,87,87,87,87,86,93,105,8,-29,86,84,82,84,87,94,120,129,30,112,112,104,105,104,105,106,106,105,105,105,106,105,103,104,105,106,106,105,103,100,98,99,100,99,99,99,99,97,97,97,97,96,95,95,95,94,93,94,96,97,96,97,100,102,101,100,101,102,103,104,106,107,108,110,111,110,109,108,107,108,109,108,107,107,105,103,104,106,104,101,98,93,91,89,89,90,93,94,94,93,92,92,92,92,91,93,95,96,95,93,92,93,93,92,93,94,96,97,96,96,98,101,101,99,96,96,97,97,95,93,94,97,100,98,94,94,95,97,96,92,90,91,93,96,97,96,97,99,100,98,94,90,89,89,90,90,91,92,94,95,96,97,97,96,98,98,97,97,97,96,95,96,97,98,98,97,97,98,98,97,96,97,100,101,99,93,92,94,96,98,99,98,97,98,98,96,95,97,98,100,101,103,104,103,101,101,102,102,103,103,104,105,106,107,106,106,108,109,108,108,108,108,107,107,107,108,107,106,106,106,106,106,106,107,106,106,106,106,106,106,107,107,107,108,109,109,110,110,108,106,107,107,107,108,109,110,109,107,106,108,110,109,108,109,110,108,107,107,109,111,112,111,110,110,111,112,112,112,112,112,112,113,113,113,111,111,113,117,120,118,116,114,115,118,121,121,120,120,122,124,125,125,125,125,126,128,128,128,127,127,129,129,128,128,129,131,132,133,134,132,131,130,127,122,121,124,128,130,128,125,120,115,115,120,125,129,130,129,126,122,121,122,123,125,126,128,129,129,129,128,128,125,123,123,125,127,129,131,133,134,133,131,128,129,131,131,132,133,131,126,121,116,115,116,118,119,120,120,120,122,126,132,133,131,125,122,121,121,122,126,128,126,124,127,131,132,130,131,131,127,126,129,134,137,136,135,133,133,132,131,131,132,132,132,132,133,134,132,130,129,130,131,131,132,132,131,132,133,133,132,131,133,134,132,126,122,119,118,119,120,122,122,121,119,121,123,124,122,121,121,123,123,121,120,124,129,130,132,130,128,128,129,130,null],[101,102,104,104,105,107,107,107,105,105,105,104,101,101,101,100,101,101,100,101,101,100,102,104,103,102,103,105,106,104,104,106,107,108,110,109,105,102,99,94,92,92,89,87,88,91,91,90,89,89,89,89,89,87,91,103,8,-31,86,84,83,83,86,88,99,125,22,112,111,103,105,105,106,106,106,105,105,106,106,106,105,105,105,106,107,105,102,100,100,100,99,98,98,99,98,96,95,96,97,95,94,93,93,93,93,93,94,96,96,97,100,101,101,101,101,103,104,104,105,106,107,109,111,111,109,107,106,108,109,109,108,107,106,105,105,105,103,100,96,93,90,89,88,90,93,94,94,93,93,93,92,91,93,95,96,94,92,92,93,93,93,94,95,96,97,96,95,96,98,100,100,98,95,96,97,96,94,93,95,98,98,96,94,94,96,96,94,91,92,93,94,95,94,93,95,99,101,101,98,94,91,91,90,90,90,91,94,96,97,96,95,96,97,97,97,96,96,96,96,97,98,98,97,96,95,96,98,98,98,100,102,100,97,94,94,96,97,98,99,100,99,98,98,98,99,99,100,100,101,103,104,105,105,104,103,103,104,105,105,105,106,107,106,106,108,110,110,108,106,105,105,108,109,109,107,104,103,104,106,107,108,108,107,106,106,106,105,105,106,106,106,108,109,110,111,112,111,110,109,108,107,108,109,110,110,108,107,107,109,108,108,109,111,109,107,107,109,112,113,113,112,111,111,111,110,112,113,113,112,113,112,111,111,112,116,120,122,121,119,116,115,117,122,125,124,122,122,124,124,125,126,127,127,128,129,129,130,129,128,128,129,128,128,130,133,133,132,131,131,130,127,122,122,124,128,129,127,125,118,113,114,119,124,129,131,132,130,126,124,125,125,123,122,124,127,127,128,129,129,128,126,125,125,127,129,132,133,134,134,132,130,130,130,131,131,132,130,128,125,119,115,116,118,119,118,116,115,119,125,130,134,134,130,125,123,123,125,130,132,131,128,128,131,132,130,131,132,130,128,127,130,133,134,134,134,134,133,131,130,132,135,134,132,132,133,134,132,129,126,128,131,133,133,132,132,133,134,133,132,132,131,128,124,121,118,117,118,120,121,121,120,120,122,123,123,121,121,122,124,123,121,120,124,128,130,132,131,128,127,128,128,null],[99,99,101,104,107,107,106,105,105,106,105,102,100,100,99,98,99,99,99,99,99,99,101,105,104,101,102,103,104,104,104,106,106,107,109,109,105,102,98,93,92,92,90,89,91,93,94,93,93,91,92,92,91,90,89,92,75,67,88,85,84,84,84,86,90,98,84,104,105,104,106,107,107,105,105,106,106,106,106,107,106,106,105,106,107,106,103,102,101,100,98,96,97,98,99,97,95,95,95,94,92,92,93,94,93,93,94,95,95,96,98,100,101,102,102,104,105,105,105,105,106,107,108,110,109,107,106,107,108,109,109,108,107,107,106,104,101,98,95,93,91,89,89,91,93,94,94,95,95,94,92,92,95,97,95,92,91,93,94,94,95,96,96,95,95,93,93,94,98,100,99,97,96,97,96,94,92,91,95,98,98,96,96,96,96,95,92,93,96,96,93,93,93,94,96,98,99,100,100,98,95,92,91,90,90,92,95,96,96,94,94,94,95,95,95,96,97,98,98,97,96,96,96,96,96,96,98,98,99,99,99,98,96,96,97,96,97,99,100,101,100,99,99,101,102,102,102,101,102,104,105,105,105,105,106,107,107,106,105,105,106,107,106,107,109,109,108,106,103,102,105,108,109,108,107,103,101,103,107,109,109,108,108,107,106,105,105,105,106,107,106,107,108,108,109,110,111,112,112,110,109,109,110,109,109,108,108,108,109,108,108,108,110,110,109,108,109,111,113,113,112,111,110,110,111,112,114,113,112,112,113,112,112,114,117,120,121,122,123,121,118,117,119,124,126,125,125,125,125,126,128,128,128,130,131,131,131,129,127,127,129,130,130,129,130,130,129,128,129,129,126,122,124,128,129,129,127,122,115,111,113,119,126,130,131,130,129,129,128,128,127,125,124,125,126,126,126,127,127,128,128,128,127,127,129,132,132,132,132,133,132,132,130,129,130,131,130,131,130,123,116,114,117,121,119,114,112,116,123,128,132,133,132,128,127,126,128,129,131,131,130,129,130,131,132,132,133,134,132,129,127,127,130,132,134,135,133,131,132,134,135,133,132,132,132,132,131,129,125,128,133,134,134,134,134,134,134,134,133,131,127,124,122,120,119,118,119,121,122,120,118,119,122,123,121,120,121,123,125,124,122,122,125,127,129,131,132,130,127,127,128,null],[98,97,100,103,106,106,106,105,107,108,107,103,99,99,99,98,98,99,99,98,98,98,101,104,104,102,102,101,102,102,104,106,106,107,108,107,104,101,98,95,94,94,95,96,96,96,96,96,95,94,94,94,92,92,90,89,103,101,29,65,85,84,83,84,86,90,94,97,99,104,106,106,106,105,106,107,106,105,105,106,106,106,105,105,106,106,103,103,102,100,98,97,96,97,98,98,96,96,95,94,93,93,94,94,93,93,93,95,96,96,96,98,100,101,102,104,106,105,105,105,106,106,108,109,108,106,105,106,107,108,108,107,107,108,106,104,101,99,96,94,92,90,90,92,93,94,94,95,95,95,94,94,96,96,93,91,92,92,93,95,97,97,95,93,93,93,92,92,96,100,100,99,98,98,96,93,90,90,94,97,98,97,96,97,95,92,91,94,96,94,90,90,93,96,98,98,97,97,99,100,98,94,91,90,90,92,93,95,95,94,94,94,93,93,95,96,97,97,97,97,96,95,95,96,96,97,97,96,97,97,96,97,98,99,97,95,96,99,101,102,101,98,98,101,104,104,102,101,102,105,107,106,105,106,108,109,108,107,106,106,106,107,108,108,108,108,107,105,103,102,105,107,106,106,106,104,103,105,110,112,110,108,108,108,107,106,106,106,106,106,106,107,107,108,107,107,110,113,114,113,111,110,109,109,108,108,108,108,108,107,108,108,109,109,109,109,109,110,111,112,112,111,111,111,112,112,113,113,112,112,113,114,115,117,119,121,121,123,125,125,122,118,117,120,122,125,126,126,126,126,127,127,128,130,130,130,129,128,128,128,129,130,129,128,128,129,129,129,128,126,124,125,128,130,131,130,127,121,114,111,113,121,127,130,129,128,129,130,129,128,129,129,127,127,127,127,127,127,127,129,130,131,131,130,130,131,131,131,132,133,133,132,130,128,129,131,129,131,131,124,116,113,117,121,121,116,113,115,121,125,129,131,130,129,129,129,131,130,129,131,132,131,128,129,131,133,134,135,134,131,128,126,128,130,132,133,133,133,134,135,134,133,132,132,131,129,128,127,127,129,132,134,134,135,135,134,134,135,134,131,126,122,120,119,117,118,120,122,122,119,117,119,122,124,121,119,121,124,125,124,123,125,128,129,128,129,130,131,128,127,128,null],[98,97,100,102,104,105,105,106,107,109,108,104,101,100,100,99,99,99,99,99,99,100,101,102,103,103,103,101,100,101,104,107,107,106,107,106,103,101,100,98,97,98,99,100,100,100,99,98,96,95,95,94,92,92,93,94,85,86,130,104,86,84,83,83,84,87,90,91,96,104,105,105,104,104,106,107,106,105,105,105,105,106,106,106,106,104,102,102,102,100,98,97,97,97,98,98,97,97,95,94,94,94,94,94,93,93,94,95,95,96,96,97,98,98,99,103,105,105,105,105,106,108,108,109,108,106,104,105,105,106,106,106,107,107,107,105,103,100,96,95,93,91,91,93,93,93,93,93,93,94,95,96,95,93,92,92,93,93,93,94,97,96,94,93,94,93,92,91,95,100,101,100,99,98,96,93,89,90,95,98,96,96,96,96,93,90,91,94,95,91,88,89,93,97,98,97,96,95,96,100,101,98,94,92,92,92,91,92,92,93,95,95,93,93,95,95,95,94,94,95,95,95,95,95,96,96,95,94,95,96,96,98,100,99,97,95,96,99,102,103,101,96,96,100,103,103,101,100,101,104,107,106,106,108,109,109,108,107,107,107,108,109,109,108,108,108,108,107,105,104,105,106,105,105,104,104,106,108,111,113,111,109,107,108,108,108,108,107,106,106,107,107,107,108,107,107,109,112,114,113,112,110,109,108,108,108,107,108,108,107,108,109,109,108,109,110,110,110,110,110,111,112,112,112,113,112,112,112,111,111,113,115,117,119,121,122,123,123,125,126,125,122,119,117,118,120,124,125,125,124,126,127,127,128,128,128,127,127,129,130,130,129,128,127,128,130,131,131,128,123,124,128,130,130,131,131,128,121,115,114,116,121,126,127,127,128,130,131,129,128,131,132,130,129,129,129,130,129,129,131,132,133,133,133,132,131,132,133,133,133,132,131,129,128,128,129,127,128,128,122,115,114,116,119,121,118,115,116,119,122,126,129,129,128,128,132,134,132,131,132,134,132,127,127,131,134,134,133,133,133,131,130,130,129,129,130,132,136,136,134,133,133,133,133,130,126,125,126,127,129,131,133,135,136,135,134,134,136,135,132,126,121,118,117,116,117,119,121,121,119,117,119,123,124,121,120,121,124,125,124,124,126,128,130,129,128,129,130,129,128,129,null],[97,97,101,103,104,105,105,106,107,107,106,105,103,102,101,100,99,99,100,100,99,99,99,100,102,103,103,101,100,101,104,107,107,107,106,107,105,103,102,101,102,102,102,102,101,100,99,98,97,96,96,96,94,94,95,95,87,89,131,106,87,85,83,82,83,85,87,89,93,103,105,105,103,104,105,106,106,106,106,105,105,107,108,108,106,104,103,101,101,100,98,97,96,96,97,97,96,96,95,94,94,95,94,93,93,95,95,95,94,95,95,95,96,96,98,101,104,104,104,105,106,107,108,109,107,105,104,105,106,106,106,107,107,106,106,106,103,99,94,95,95,93,92,92,93,93,93,92,93,95,97,96,94,92,91,92,93,93,93,94,94,94,93,94,95,93,92,92,97,100,101,100,100,100,97,93,89,90,95,97,95,95,96,96,92,89,92,96,96,93,91,92,95,95,94,92,92,92,94,98,101,101,99,97,96,95,92,90,89,90,92,93,93,93,94,93,93,94,94,93,94,95,95,96,96,95,95,94,95,96,96,97,98,96,95,96,98,100,102,103,100,98,97,99,101,101,101,102,103,104,106,107,108,109,109,108,107,106,106,107,108,109,109,109,108,107,108,108,108,107,108,110,109,107,105,105,107,108,110,111,110,107,106,107,109,109,109,108,108,107,107,107,108,108,108,108,108,110,112,112,111,111,109,107,106,107,108,109,109,109,109,110,110,109,110,110,110,111,110,108,108,110,112,113,114,113,112,112,112,111,111,113,116,119,121,122,123,124,124,125,126,125,123,120,118,118,120,122,122,123,125,127,128,129,130,130,127,126,129,129,129,130,129,128,128,131,134,132,128,124,125,130,131,130,131,130,127,120,116,116,118,121,124,124,125,128,131,132,130,129,132,132,129,129,130,131,132,132,132,132,134,134,134,135,135,134,134,135,135,134,131,129,129,128,127,126,124,124,123,120,117,115,114,115,118,119,118,118,120,121,123,127,127,129,130,132,134,133,132,131,133,133,130,130,133,133,133,133,133,134,135,135,133,130,128,128,131,133,133,132,132,133,133,133,130,126,123,123,126,129,132,133,134,135,134,133,135,136,134,130,124,120,117,116,116,117,119,120,119,118,117,120,123,125,123,122,122,125,125,123,123,125,127,128,129,130,130,130,129,129,130,null],[97,96,101,105,106,105,105,106,106,105,104,105,106,104,102,100,98,99,100,100,99,99,99,100,101,101,102,101,100,101,104,107,108,107,107,109,108,105,103,102,103,104,103,101,99,99,99,98,98,98,98,98,97,96,95,95,95,95,92,93,88,86,84,83,83,83,84,87,96,99,103,104,104,105,104,105,105,106,106,107,107,107,108,109,107,106,104,102,102,100,98,96,96,97,98,97,96,95,95,94,93,93,93,92,93,95,97,95,94,94,95,95,95,96,99,101,103,103,103,104,105,106,108,108,107,105,104,105,106,106,106,107,106,105,106,106,102,97,92,93,95,94,93,92,92,92,91,92,95,97,96,95,93,92,93,93,93,93,93,94,94,93,93,94,95,93,92,94,98,100,99,98,99,100,97,91,89,91,95,97,96,96,97,94,91,90,93,96,97,96,95,96,96,93,90,89,90,92,94,96,99,101,100,99,99,99,96,93,90,90,91,92,92,92,91,90,91,94,94,93,93,95,96,95,94,93,94,95,97,97,97,97,97,96,97,99,100,101,102,102,100,100,99,99,99,100,102,104,105,104,105,107,109,109,109,107,106,105,106,107,107,108,110,110,110,108,107,108,109,110,112,113,111,108,106,106,106,107,109,109,108,106,105,107,109,109,109,109,110,110,109,109,109,109,109,109,108,108,109,110,111,112,111,108,107,108,110,110,110,110,111,112,111,110,110,110,110,111,111,109,107,108,110,113,115,115,114,114,114,113,111,112,115,117,118,119,122,124,125,124,126,126,126,126,123,120,120,121,121,121,123,125,128,130,132,130,125,124,125,127,128,129,130,130,130,132,134,132,128,127,129,131,132,132,132,131,127,121,116,115,116,118,121,123,125,129,132,133,132,131,133,133,130,130,131,130,132,134,134,133,134,134,134,135,136,136,135,135,134,133,131,130,130,130,128,125,123,123,123,122,120,117,114,113,115,117,119,120,120,121,122,125,128,130,129,130,133,134,133,131,133,135,134,134,135,134,134,135,134,134,136,138,135,132,130,130,129,129,130,130,131,132,133,133,131,128,123,122,126,130,132,134,134,134,133,133,135,135,133,129,123,119,117,118,118,118,119,119,118,117,117,120,123,126,124,123,123,125,125,122,122,123,125,127,129,130,131,130,129,129,130,null],[97,95,99,105,108,106,105,105,106,105,103,104,105,105,102,99,97,99,101,100,98,98,100,101,101,100,100,100,100,100,103,108,107,106,108,110,109,107,104,100,101,102,103,101,99,99,100,99,99,100,100,100,98,97,96,96,96,95,92,93,95,98,85,85,84,83,82,84,89,93,99,103,105,106,106,105,105,105,107,107,107,106,106,107,106,106,106,105,103,101,98,95,96,98,99,98,97,96,95,94,92,92,93,94,94,95,97,97,96,95,95,95,93,95,99,101,102,102,103,105,105,105,106,107,107,106,105,104,105,105,106,106,106,106,106,105,101,95,92,92,93,94,94,93,92,91,90,93,96,97,96,94,93,94,94,93,92,92,93,94,95,94,94,93,93,93,94,96,99,100,98,96,97,98,94,88,87,92,96,97,98,98,96,92,91,92,93,95,96,96,96,97,95,91,90,91,92,93,94,95,96,98,98,99,100,100,100,99,97,95,95,94,92,90,89,88,89,93,94,93,93,94,95,94,91,91,94,96,98,98,98,100,101,101,102,102,100,99,100,101,101,100,99,99,100,102,104,106,106,104,105,107,109,108,107,106,106,106,107,107,107,109,110,111,110,108,108,110,111,112,113,112,108,106,107,107,106,106,107,107,106,105,104,106,107,106,108,109,111,112,111,111,111,111,110,108,108,108,108,109,111,113,112,110,110,111,111,110,109,110,112,113,112,110,109,109,110,111,112,111,109,107,109,113,115,116,116,115,115,115,114,114,115,115,116,117,120,124,126,125,126,127,128,130,129,125,123,122,121,120,119,121,124,127,129,126,122,120,123,126,126,127,129,131,131,131,132,130,129,131,132,132,133,133,133,132,128,123,117,115,114,116,120,123,125,129,131,133,133,134,135,135,132,131,131,130,132,135,135,134,133,133,133,134,136,136,135,133,132,132,133,132,132,132,130,127,125,126,126,127,124,117,115,115,114,115,119,120,119,119,122,127,130,130,128,129,132,134,133,132,134,136,136,135,135,136,136,135,134,134,135,137,136,135,133,133,131,128,128,129,130,131,133,135,133,130,125,123,126,130,132,133,132,132,132,133,134,133,130,129,125,120,119,120,120,120,120,119,118,117,118,121,124,126,125,125,125,124,124,123,123,123,124,126,128,130,131,131,130,129,131,null],[98,95,97,104,110,108,107,105,105,104,102,103,104,104,102,100,99,100,101,100,98,98,100,101,101,101,100,100,100,100,103,107,107,106,108,109,109,108,104,101,100,102,102,101,101,101,101,100,99,100,103,103,100,98,97,97,96,95,95,93,90,94,92,86,85,83,81,83,86,90,95,100,104,105,106,106,106,106,106,106,106,106,105,104,105,106,107,105,101,99,98,96,96,98,98,98,98,96,95,93,92,93,96,97,97,97,97,97,98,96,95,95,95,96,98,99,100,101,103,104,105,104,105,107,108,107,104,102,103,106,107,107,106,106,108,107,102,96,93,93,94,94,94,94,93,91,92,95,98,97,95,93,94,94,94,93,92,92,93,94,95,95,94,93,92,93,95,97,100,100,97,95,96,96,91,86,87,92,96,97,98,96,93,91,92,93,94,95,95,96,96,95,93,91,91,92,93,94,93,93,94,97,99,99,99,99,100,102,102,101,99,97,95,94,92,91,91,94,96,96,93,92,93,92,92,94,97,99,98,98,99,100,102,103,104,103,101,99,99,100,100,100,99,100,101,103,105,106,106,105,105,107,108,107,105,105,107,108,108,108,108,110,110,109,108,109,109,111,112,113,111,109,106,105,106,107,106,106,106,104,103,102,103,104,104,105,106,107,109,110,110,111,112,112,110,109,109,110,110,110,112,113,112,112,113,112,110,108,108,111,113,112,111,109,108,109,110,113,114,114,111,108,109,112,115,117,118,116,116,117,116,115,115,116,117,118,120,123,126,127,127,128,130,132,132,129,125,124,125,123,120,119,120,122,124,124,123,122,123,124,124,125,127,130,132,132,131,130,131,134,134,132,132,134,134,133,130,125,119,115,114,116,120,123,126,129,131,132,133,134,135,134,132,130,129,130,132,134,134,133,133,133,133,134,135,136,134,131,129,131,134,132,132,133,132,130,128,129,130,129,123,116,115,116,114,115,119,119,117,118,122,127,131,131,129,130,132,132,132,132,133,135,135,135,135,136,136,134,134,134,135,135,135,135,135,135,133,131,130,129,128,130,132,135,135,132,130,129,129,130,131,130,130,131,132,133,132,130,128,129,127,121,120,121,120,119,120,120,119,118,119,123,126,126,125,125,126,125,124,124,123,123,124,126,127,128,130,130,130,129,131,null],[99,95,96,103,110,110,109,106,104,103,102,102,103,103,102,101,100,100,101,100,98,98,99,100,100,101,100,100,100,101,103,106,106,106,107,109,109,107,105,102,100,100,101,102,103,103,102,101,100,100,104,104,102,100,99,99,98,97,97,96,95,94,93,88,85,83,82,82,85,88,93,103,105,105,106,107,106,106,106,106,105,105,105,104,104,105,106,102,98,97,97,97,98,98,97,97,98,97,96,95,95,98,100,101,100,98,97,96,97,97,96,96,97,98,97,97,99,101,102,103,104,104,106,108,108,106,103,101,102,106,108,108,107,107,109,109,104,97,95,94,95,94,94,95,94,93,95,98,99,96,94,94,94,94,93,93,92,93,94,94,94,94,94,93,92,92,94,97,100,100,95,92,94,94,89,85,87,92,95,96,96,93,91,91,91,92,93,93,93,93,95,95,93,92,92,92,93,93,92,93,94,97,100,100,97,96,98,100,102,102,102,101,99,98,97,96,96,98,99,98,95,92,91,92,95,99,101,101,100,98,97,98,99,100,101,101,100,99,98,98,99,100,101,103,103,103,105,106,106,105,106,107,108,107,105,106,108,109,108,108,109,109,108,107,108,109,110,111,112,112,109,106,105,104,105,106,107,107,106,103,100,101,103,104,104,105,105,105,105,105,107,108,110,110,109,108,109,111,112,112,112,113,113,113,113,112,109,108,109,111,112,112,111,109,109,110,112,114,115,114,112,110,110,112,113,115,116,116,115,115,114,115,116,117,119,120,121,123,126,128,128,129,131,133,132,130,126,127,129,130,126,121,118,118,121,126,127,127,126,125,124,124,126,129,132,133,131,132,134,135,134,131,130,131,131,131,128,124,119,117,116,118,122,125,128,130,131,131,131,133,133,133,132,129,128,130,132,132,132,131,133,133,133,133,135,135,132,129,128,131,134,132,131,133,133,131,129,130,132,128,121,115,113,115,115,116,118,118,117,118,121,125,129,129,129,130,132,131,131,132,133,133,133,134,135,135,134,133,133,134,135,135,134,134,135,134,135,135,132,130,130,129,131,133,133,133,133,133,131,131,131,128,126,128,131,133,132,128,126,127,127,122,121,121,119,118,120,122,121,120,120,123,125,126,125,125,126,126,126,125,124,123,125,127,128,129,130,130,130,130,131,null],[100,96,96,102,108,109,109,108,105,103,103,103,103,101,102,102,99,98,99,100,99,98,98,99,99,99,101,102,101,101,103,106,106,105,107,109,109,105,102,101,99,99,100,102,102,101,100,100,101,102,104,104,102,102,102,102,101,100,100,100,99,97,95,93,90,83,82,83,84,87,93,111,108,105,105,106,105,106,108,107,106,105,105,105,105,104,103,100,97,95,96,98,100,100,99,98,97,97,98,98,101,104,104,101,99,97,95,94,95,96,96,97,98,98,97,98,99,101,101,103,104,105,107,108,108,106,103,102,102,105,109,109,108,107,108,108,103,98,94,93,94,94,96,95,94,94,98,100,99,95,93,94,95,94,94,93,93,95,95,94,93,93,94,93,91,90,92,95,99,97,92,89,91,91,87,85,87,92,95,95,93,91,89,88,87,87,88,89,89,91,94,93,92,91,92,93,93,92,93,94,95,98,100,99,97,95,96,98,100,100,101,101,99,98,97,99,100,101,101,100,98,95,93,96,100,102,103,103,102,98,95,94,95,96,97,97,97,98,98,97,98,102,106,107,105,104,105,107,107,105,105,107,107,106,105,107,109,109,109,109,110,110,109,108,109,110,110,110,109,108,107,106,106,105,104,105,106,108,107,104,100,100,103,106,107,107,106,104,103,103,104,105,106,106,106,106,108,109,110,111,112,114,115,114,112,111,110,110,109,109,110,112,112,111,111,111,113,113,113,112,111,111,111,111,111,111,113,114,113,111,111,114,116,116,116,117,120,122,125,126,128,129,132,132,131,129,128,129,132,134,131,125,120,119,123,128,130,130,130,129,127,127,128,129,131,132,132,133,135,135,134,132,129,127,127,127,124,122,120,118,118,120,123,127,130,132,132,130,130,131,130,131,133,130,127,129,131,130,130,130,132,133,133,133,134,135,133,129,128,131,134,133,132,133,132,129,127,130,132,127,119,114,113,114,115,115,116,118,119,118,120,123,126,127,127,129,132,133,133,133,133,133,132,132,134,135,134,132,131,133,135,136,136,134,133,133,135,135,133,132,133,131,129,131,132,132,132,132,132,133,132,127,124,126,130,132,132,129,128,127,125,121,120,121,120,118,120,123,123,121,119,121,124,125,124,124,125,126,127,127,125,123,125,127,130,132,132,131,131,131,131,null],[101,98,97,102,106,107,108,107,105,103,103,103,103,102,102,101,98,97,99,99,98,96,97,99,98,99,102,102,101,101,103,106,105,105,107,109,107,102,99,99,99,99,101,101,99,98,98,99,100,101,102,102,102,104,105,104,103,101,102,102,101,98,95,91,87,84,83,83,84,86,90,105,102,104,105,104,103,104,107,107,106,106,107,107,105,103,101,99,96,94,94,97,101,102,100,98,98,100,102,103,105,105,104,101,98,96,95,94,94,94,96,97,98,97,97,98,100,101,102,103,105,106,107,108,108,106,104,102,102,104,108,110,109,107,106,106,102,98,94,93,93,94,95,95,94,96,99,99,97,95,95,96,96,95,94,94,95,97,97,95,94,93,94,94,92,91,92,95,97,95,90,87,88,88,86,86,88,92,95,93,90,88,88,88,87,86,86,88,88,89,90,91,90,89,90,91,91,92,94,95,96,98,98,98,97,96,96,97,97,98,98,99,99,97,96,97,99,100,101,102,101,97,95,97,101,102,103,103,102,98,94,93,94,96,96,96,96,97,98,97,97,101,105,106,105,104,105,105,105,105,105,107,107,106,105,107,108,109,109,110,110,110,109,110,110,110,110,109,108,107,106,106,106,105,103,103,105,107,108,106,103,102,105,109,111,110,107,105,104,104,104,103,103,103,104,105,107,108,109,110,112,114,115,114,112,112,113,113,110,108,109,111,113,113,112,112,112,112,111,112,115,117,113,110,109,110,112,112,111,109,110,113,116,115,114,116,118,121,122,124,127,129,129,129,129,129,129,131,133,134,134,130,124,121,124,127,128,130,132,132,130,130,130,129,130,131,132,132,133,133,132,131,128,128,127,125,124,125,124,121,118,118,120,125,130,133,132,129,128,130,130,131,132,129,126,127,129,130,130,130,132,133,133,132,134,134,132,128,127,129,131,132,132,131,130,129,128,130,130,126,119,114,113,114,115,115,116,119,121,120,122,125,128,129,130,131,133,135,135,134,134,134,132,133,135,136,134,131,132,135,137,137,136,134,132,133,135,135,133,134,135,133,131,131,133,133,132,132,133,135,133,128,125,126,129,132,133,132,131,129,125,120,119,121,120,119,120,122,123,121,119,119,122,124,124,124,125,126,128,128,126,125,125,127,130,133,133,132,132,132,132,null],[101,100,99,103,106,106,106,106,104,102,102,102,103,104,103,100,98,98,99,98,96,95,97,99,100,100,102,102,101,102,104,106,105,105,108,109,105,100,98,99,101,101,101,100,99,96,96,98,99,98,97,98,101,103,103,103,101,100,100,101,101,98,95,91,88,85,84,83,83,84,86,92,96,103,104,104,101,101,104,105,105,107,109,107,105,102,101,100,97,94,93,96,100,102,101,99,100,103,106,106,104,102,101,101,98,96,95,94,94,94,95,97,99,98,97,97,99,101,102,103,104,105,107,108,109,108,104,101,100,104,108,109,108,107,106,105,102,99,95,93,93,95,96,96,96,98,100,98,94,94,96,98,98,97,95,95,96,98,98,96,94,94,93,93,94,93,95,97,97,94,88,85,86,87,87,87,89,93,94,91,87,86,88,89,89,89,88,90,91,90,88,88,88,88,88,88,89,92,95,96,95,95,96,96,96,97,98,97,97,96,97,99,99,97,94,94,95,98,101,103,102,98,94,96,99,100,100,101,100,98,96,95,96,98,100,99,98,97,98,98,97,100,102,103,103,103,103,103,103,104,105,107,107,106,106,107,108,109,110,110,109,108,109,110,110,110,109,109,109,108,108,107,106,105,104,103,103,105,106,106,105,106,108,111,112,110,108,107,106,106,105,103,103,105,106,107,108,109,110,110,110,112,113,113,113,114,115,114,111,109,109,111,112,112,112,112,111,111,113,117,123,124,117,112,111,112,112,113,112,110,110,112,115,116,116,116,117,119,120,123,128,128,126,126,127,129,131,131,131,132,133,132,127,123,121,122,125,128,131,132,132,131,130,129,130,132,132,132,131,131,128,127,129,131,130,129,128,130,130,124,119,115,115,120,127,133,132,128,128,130,130,129,129,126,124,127,130,131,132,132,133,133,133,133,134,133,130,126,128,128,128,129,130,128,128,129,129,129,129,126,120,116,114,114,115,115,117,119,121,122,124,130,135,136,135,133,134,136,136,134,134,134,132,133,136,136,133,132,134,137,138,136,134,133,133,134,135,135,134,134,136,135,133,133,135,135,135,135,135,135,134,131,128,129,130,132,133,134,134,132,126,121,119,120,120,119,118,120,121,122,120,119,121,123,124,124,124,125,127,127,128,127,127,127,129,131,131,130,131,131,132,null],[99,98,99,104,107,106,104,104,104,103,102,102,103,104,104,102,100,99,98,96,96,97,98,99,100,100,101,101,101,102,105,106,106,106,108,109,105,100,98,100,102,101,99,99,101,100,99,101,100,97,94,94,95,98,100,100,99,99,100,101,101,99,95,93,91,91,87,84,83,82,84,88,94,101,96,104,102,100,103,104,105,107,108,107,104,102,102,100,98,95,95,95,98,101,102,100,100,102,105,106,105,103,102,102,100,97,95,94,93,93,94,96,99,100,98,97,98,100,100,101,103,104,105,108,110,109,104,99,98,102,107,108,107,108,107,105,101,98,95,94,94,96,98,98,98,99,98,95,92,93,97,98,98,97,95,95,96,97,97,95,94,93,92,93,94,94,96,99,97,93,88,85,85,85,86,88,91,93,92,89,87,87,90,92,92,92,91,92,94,92,90,89,89,88,88,87,88,92,94,94,93,93,93,94,94,96,99,100,99,98,99,100,98,95,92,92,94,96,100,103,102,98,93,94,97,97,98,100,101,100,100,98,98,101,103,103,101,99,99,98,97,99,101,101,102,103,103,104,104,104,106,107,108,107,107,108,109,109,109,108,107,107,108,110,110,109,109,111,111,110,108,107,107,107,105,104,103,104,104,105,107,109,111,111,110,109,108,109,109,107,105,105,106,108,109,109,109,110,111,111,110,110,111,112,112,113,113,113,113,112,111,110,110,111,112,113,114,116,121,125,127,126,123,119,115,112,113,118,118,114,110,110,113,116,115,115,115,117,120,125,129,129,126,123,124,127,129,129,129,131,133,132,129,125,120,119,122,126,128,129,130,129,129,130,131,131,131,132,133,130,127,126,129,131,132,132,134,134,133,127,120,115,114,118,124,129,130,129,130,131,129,125,124,125,126,128,131,132,134,135,135,134,134,135,135,133,129,128,130,130,128,127,126,125,126,127,125,125,127,128,124,118,115,115,114,115,117,117,119,121,127,133,137,137,135,135,136,135,135,135,133,132,130,132,134,133,132,134,136,136,136,134,134,134,134,135,135,135,135,135,136,135,134,133,134,136,137,137,136,135,134,133,131,131,130,131,133,136,135,132,127,125,121,119,120,120,119,120,121,121,120,120,119,120,122,122,122,123,126,127,128,129,128,128,127,128,128,128,129,130,131,null],[96,96,99,106,109,106,103,104,105,105,103,101,102,104,105,104,102,99,97,96,96,97,99,100,100,100,100,100,101,103,106,107,107,106,107,108,106,101,98,100,102,101,96,98,103,103,102,104,102,98,94,91,92,94,97,98,97,98,99,101,102,100,97,95,95,95,88,84,82,81,83,86,93,101,95,102,103,102,103,104,105,106,106,104,103,103,103,101,99,98,97,97,97,100,101,101,99,99,100,101,102,102,101,101,100,97,95,93,92,93,94,97,99,100,99,98,98,100,99,100,101,102,103,107,110,110,105,99,97,101,106,108,107,108,107,105,102,99,96,96,96,98,100,100,100,98,96,93,91,93,96,97,97,95,95,96,96,96,95,93,92,91,91,93,95,95,97,99,97,91,86,84,85,84,85,89,92,92,90,88,88,90,91,92,93,93,93,94,96,95,93,92,92,91,88,87,88,91,93,91,90,92,93,93,93,94,97,99,99,99,101,102,98,93,91,93,95,96,99,102,102,97,93,94,96,97,98,101,102,102,102,101,101,103,104,105,104,101,99,98,100,101,101,102,102,103,105,106,106,105,107,109,109,108,108,109,110,110,108,107,106,106,107,108,109,109,110,112,113,111,108,108,109,108,107,105,105,104,103,104,107,110,111,110,109,108,109,110,109,107,106,106,108,109,109,109,110,112,113,112,110,110,111,111,110,110,111,112,113,113,112,111,111,113,116,118,120,124,128,131,129,127,129,126,119,113,115,122,124,118,111,109,111,115,114,113,113,115,120,125,130,130,126,121,121,126,129,129,129,130,131,131,129,125,122,120,120,122,125,126,127,127,129,130,129,129,130,132,133,130,127,128,130,131,132,133,134,133,132,128,122,117,116,118,121,125,128,130,131,130,127,124,124,127,130,131,132,134,136,136,135,134,134,136,136,133,131,130,132,133,131,127,125,125,125,124,123,123,125,127,124,118,116,117,115,114,115,115,116,119,125,132,135,135,134,134,134,133,133,133,132,129,129,130,132,130,131,135,135,133,133,133,135,136,135,135,135,135,135,135,136,136,134,133,134,136,136,136,136,136,134,134,134,132,130,130,133,137,136,133,130,130,127,122,121,121,121,121,121,120,120,121,119,119,121,121,121,122,125,128,128,128,129,127,125,126,127,127,128,130,130,null],[96,96,98,106,109,105,103,105,105,105,104,102,102,104,105,104,101,98,97,97,97,97,99,101,100,99,100,100,102,104,107,108,106,104,106,107,106,102,98,99,100,101,98,98,102,103,104,106,103,98,94,93,94,95,95,95,94,94,97,101,103,102,100,98,98,97,89,85,83,81,82,86,92,102,107,101,101,103,105,105,105,105,104,103,103,103,103,103,101,100,99,99,99,99,99,99,99,97,95,95,96,98,98,97,97,95,94,93,93,94,96,98,99,98,98,98,99,98,98,99,100,100,102,106,110,110,105,99,96,99,104,107,107,107,105,104,103,101,98,98,99,99,102,102,100,97,94,92,91,93,95,96,96,94,95,96,97,95,94,92,92,91,91,93,96,97,98,98,94,88,84,84,85,84,86,91,93,92,88,88,90,91,91,92,93,94,94,95,96,96,96,96,96,94,90,87,87,90,91,91,91,94,97,98,96,94,94,96,97,98,101,102,99,95,93,95,97,96,98,100,99,96,95,95,96,97,100,102,102,102,102,103,104,104,105,106,107,104,100,99,101,101,102,104,105,105,106,108,107,107,108,109,110,109,108,109,110,110,108,108,107,106,106,107,108,109,111,113,112,110,109,110,111,110,108,107,106,105,104,104,106,109,110,110,109,108,108,108,108,107,107,108,108,108,108,109,110,112,112,111,111,111,111,111,110,108,110,111,111,111,112,113,116,119,124,125,126,129,131,130,128,128,130,127,119,115,119,126,128,123,115,110,111,113,114,113,112,113,118,125,130,130,125,121,122,127,130,131,131,131,130,129,128,126,125,124,120,120,124,126,127,128,128,128,128,128,130,133,132,129,129,130,132,133,133,132,131,131,129,126,122,120,119,117,118,121,126,128,127,124,124,126,129,131,131,130,131,134,135,134,133,133,133,135,135,133,132,132,133,133,132,130,128,129,127,126,128,126,122,120,120,117,118,119,117,116,114,115,116,118,123,130,132,132,134,132,130,129,129,131,131,130,128,128,129,129,130,132,132,131,131,133,135,136,135,134,134,135,135,136,137,136,135,135,135,135,135,135,136,136,136,136,135,134,132,132,135,137,136,135,134,135,134,130,125,122,121,120,120,121,121,122,121,120,119,121,123,123,125,127,127,127,128,127,124,125,127,129,130,130,129,null],[97,96,98,105,108,105,104,106,105,104,105,104,103,105,105,103,100,98,98,98,97,98,100,102,100,99,100,101,104,106,108,107,105,104,106,106,103,101,99,98,98,99,99,99,101,103,105,106,102,97,96,98,100,99,96,95,92,92,96,101,104,104,102,100,100,98,88,86,83,81,82,85,93,110,109,102,101,103,105,105,104,103,103,103,104,103,103,102,102,102,102,102,101,100,99,100,101,100,96,93,95,97,97,95,93,92,92,93,95,97,99,99,98,96,96,97,97,97,98,100,101,101,102,105,109,108,104,98,96,98,103,106,107,105,103,102,104,103,100,100,100,99,100,101,98,96,93,92,91,93,95,95,94,94,96,98,97,95,94,93,92,91,92,94,97,99,99,98,93,87,84,84,86,87,89,92,92,90,88,88,90,91,91,93,94,96,95,96,97,97,97,97,97,94,90,88,90,91,92,93,94,97,100,101,99,96,95,96,96,96,98,99,97,95,95,97,98,97,96,98,98,97,97,97,97,97,99,102,103,103,103,104,106,105,105,106,107,105,101,101,103,101,102,105,107,107,107,107,107,107,108,109,110,110,109,108,109,110,110,109,109,108,107,107,108,110,110,111,110,111,110,111,111,110,109,109,108,107,107,106,107,109,110,110,109,108,108,108,108,108,108,108,108,108,108,109,110,111,112,111,111,111,112,112,110,109,110,110,109,110,114,120,124,126,128,128,127,128,128,126,124,124,125,122,117,117,123,128,130,126,118,112,110,112,114,113,111,112,117,124,129,126,122,122,125,128,130,132,133,133,131,131,130,128,127,125,121,121,125,129,130,130,129,128,128,129,132,134,133,132,131,132,133,135,134,131,129,128,127,125,124,124,120,117,116,118,121,122,122,123,127,132,134,134,131,129,131,134,133,133,133,133,132,134,135,134,133,132,132,132,131,131,131,131,129,130,131,127,121,118,119,120,120,119,119,118,115,115,116,117,121,125,128,129,131,130,129,129,130,130,132,131,126,125,127,131,132,133,132,133,133,132,133,134,135,134,134,135,136,137,137,136,135,134,134,135,135,135,136,136,136,137,136,135,133,133,134,136,136,135,135,136,137,135,129,122,119,119,120,121,121,122,122,120,118,120,123,121,121,124,126,128,128,127,125,124,126,129,130,130,129,null],[97,97,98,104,107,106,105,106,105,104,105,104,104,105,105,103,99,98,100,99,97,99,101,101,101,100,100,101,104,107,108,106,106,106,107,105,101,100,100,100,99,98,99,101,102,103,104,106,102,97,96,101,105,103,96,94,91,91,95,101,103,103,102,101,100,97,89,91,83,82,82,85,92,111,109,102,100,102,104,104,103,103,103,104,104,104,103,101,101,102,103,104,102,101,102,102,102,101,99,97,98,99,99,97,93,91,92,95,99,100,100,99,98,96,95,95,96,97,99,102,103,102,102,105,107,107,103,97,95,98,102,106,107,105,102,101,104,104,101,101,100,98,98,97,96,95,94,92,91,93,94,94,93,93,97,99,97,96,94,93,92,92,93,96,98,98,98,97,93,88,84,85,88,91,93,92,90,88,87,88,90,92,93,95,97,98,97,97,98,98,98,97,96,93,92,92,95,96,95,96,97,98,100,101,101,100,99,100,99,96,96,97,95,94,96,98,98,96,96,97,97,97,97,96,96,96,97,100,104,106,105,106,106,105,105,106,106,105,103,103,103,102,102,105,108,109,108,107,107,108,109,109,109,110,109,108,108,109,110,110,109,109,108,108,109,109,109,108,109,110,110,110,109,110,110,109,109,109,109,109,109,109,110,109,109,107,108,109,109,108,107,108,109,109,109,110,109,109,111,111,111,112,112,112,112,110,109,110,110,112,119,126,129,128,128,126,125,125,123,121,119,118,118,116,116,121,127,129,129,125,119,114,111,112,115,114,112,113,118,123,125,122,120,124,128,128,128,130,132,133,133,133,132,131,128,124,122,123,127,130,131,131,131,130,130,131,133,135,135,134,133,132,133,135,134,133,130,129,127,126,127,127,121,116,115,118,118,118,119,124,131,135,134,133,130,129,130,133,133,134,134,132,131,132,134,135,133,132,132,132,131,130,130,130,131,131,129,125,122,121,124,126,123,120,121,120,117,116,116,117,119,122,124,125,126,128,130,131,132,132,133,130,124,123,127,133,135,135,134,135,134,132,131,132,134,133,133,134,136,137,136,135,134,133,133,135,135,135,135,135,135,136,137,136,134,133,133,134,135,134,134,135,136,137,132,125,118,117,119,120,120,121,121,120,118,120,122,119,119,122,126,129,129,128,127,125,124,127,129,129,129,null],[96,98,99,103,107,107,106,105,105,105,105,103,103,105,106,103,98,97,100,99,97,97,99,99,100,101,100,100,103,106,107,107,108,109,109,105,101,101,102,101,100,100,100,101,102,101,103,106,104,98,96,98,102,100,95,92,89,90,93,98,102,103,102,102,101,97,95,101,83,82,83,85,88,95,98,96,95,102,103,103,102,103,103,103,103,103,103,101,100,101,103,104,103,102,102,102,101,100,99,98,99,99,100,97,95,96,98,99,101,101,100,98,98,97,96,96,95,97,100,102,104,104,103,105,107,107,104,98,95,97,102,106,107,106,103,101,103,105,103,102,99,97,96,96,96,96,94,93,93,95,95,94,93,93,94,95,95,95,95,93,91,92,95,98,97,94,93,94,93,89,87,88,92,94,93,90,89,89,89,89,90,94,97,98,98,97,97,98,98,99,100,99,97,96,96,97,98,99,98,98,99,100,101,101,101,102,103,103,102,100,99,99,97,96,96,96,96,96,97,98,97,95,94,94,96,97,96,97,102,107,108,106,106,106,106,106,106,106,105,105,105,105,105,104,105,107,108,109,109,109,109,109,109,109,109,108,108,109,110,110,109,109,108,108,109,109,108,108,108,109,110,109,109,108,108,108,108,109,110,109,109,108,108,108,108,107,108,109,110,109,107,108,109,110,110,109,109,108,109,110,111,112,112,111,112,112,112,113,116,119,124,128,130,129,127,126,126,125,122,118,117,117,116,117,121,126,130,131,129,124,118,114,111,113,115,114,113,114,119,121,120,120,123,127,127,126,127,129,130,132,133,134,133,131,128,125,122,122,127,130,131,131,132,132,131,133,134,134,133,133,132,131,133,136,135,135,133,130,127,127,129,128,122,117,117,121,123,121,121,124,128,129,129,129,129,128,128,130,134,135,134,131,130,130,132,134,133,132,134,134,133,130,129,130,129,127,123,122,123,125,127,129,126,122,123,124,122,118,116,117,121,123,122,122,123,126,129,130,131,132,132,129,125,125,129,132,134,133,134,135,134,132,132,132,133,132,132,133,135,135,134,133,132,132,133,135,135,134,134,134,135,136,136,136,135,134,133,133,134,134,135,135,134,135,134,130,121,118,117,118,119,121,122,121,120,121,121,120,120,123,127,129,128,128,129,127,126,127,128,129,127,null],[94,95,97,103,108,108,105,104,104,104,105,103,102,104,104,102,99,98,99,99,97,97,96,97,99,101,100,99,101,105,108,106,108,110,108,104,102,103,103,101,99,99,99,101,103,100,101,104,105,100,96,95,96,97,95,92,89,89,91,94,98,101,102,104,103,98,97,100,84,82,83,85,87,90,92,89,89,103,102,101,101,102,102,103,103,103,102,100,99,101,102,102,102,101,99,98,97,95,95,97,98,98,97,97,98,101,102,101,101,100,99,98,98,99,98,97,97,98,100,103,105,105,105,106,108,109,105,99,96,97,103,106,108,106,104,103,103,105,103,101,98,96,95,96,97,96,94,92,94,96,96,93,91,91,91,91,93,95,95,93,91,92,97,98,95,92,91,92,92,89,88,90,94,93,90,87,89,91,92,91,91,95,99,100,99,98,98,98,97,99,100,99,99,100,101,101,100,99,99,99,100,101,102,102,103,104,105,104,103,103,102,101,98,96,96,95,95,96,97,98,96,94,95,96,97,100,99,97,100,104,107,107,106,105,105,106,106,106,106,105,105,106,107,106,104,105,107,108,109,110,110,109,109,108,108,108,108,108,109,109,109,108,108,107,107,108,108,108,108,108,108,108,108,107,106,106,107,108,109,108,108,107,107,108,108,108,108,109,109,108,108,109,110,111,110,109,108,109,109,110,110,110,110,111,112,115,118,120,123,126,129,129,130,130,128,127,126,124,121,118,120,121,120,120,124,128,131,133,131,125,119,114,113,114,115,115,114,115,117,118,118,121,125,127,127,127,128,130,129,131,133,134,132,131,131,129,122,121,125,128,129,129,130,130,130,132,134,133,131,132,132,131,133,134,135,136,134,131,127,128,130,128,123,118,119,125,129,128,125,123,122,122,125,128,130,130,129,131,134,135,132,130,131,131,132,134,133,133,134,135,132,129,127,128,126,123,122,123,124,127,130,130,126,123,125,128,127,122,117,117,121,124,124,123,124,125,127,128,129,131,130,127,127,130,132,132,132,133,133,132,130,129,129,130,131,132,133,134,135,135,132,131,132,133,134,135,135,135,134,135,136,136,136,135,133,132,132,133,134,135,136,135,134,134,135,132,125,119,117,117,119,121,122,122,122,121,120,121,122,124,127,128,129,129,129,129,128,129,129,129,127,null],[94,95,97,103,108,108,105,104,104,104,105,103,102,104,104,102,99,98,99,99,97,97,96,97,99,101,100,99,101,105,108,106,108,110,108,104,102,103,103,101,99,99,99,101,103,100,101,104,105,100,96,95,96,97,95,92,89,89,91,94,98,101,102,104,103,98,97,100,84,82,83,85,87,90,92,89,89,103,102,101,101,102,102,103,103,103,102,100,99,101,102,102,102,101,99,98,97,95,95,97,98,98,97,97,98,101,102,101,101,100,99,98,98,99,98,97,97,98,100,103,105,105,105,106,108,109,105,99,96,97,103,106,108,106,104,103,103,105,103,101,98,96,95,96,97,96,94,92,94,96,96,93,91,91,91,91,93,95,95,93,91,92,97,98,95,92,91,92,92,89,88,90,94,93,90,87,89,91,92,91,91,95,99,100,99,98,98,98,97,99,100,99,99,100,101,101,100,99,99,99,100,101,102,102,103,104,105,104,103,103,102,101,98,96,96,95,95,96,97,98,96,94,95,96,97,100,99,97,100,104,107,107,106,105,105,106,106,106,106,105,105,106,107,106,104,105,107,108,109,110,110,109,109,108,108,108,108,108,109,109,109,108,108,107,107,108,108,108,108,108,108,108,108,107,106,106,107,108,109,108,108,107,107,108,108,108,108,109,109,108,108,109,110,111,110,109,108,109,109,110,110,110,110,111,112,115,118,120,123,126,129,129,130,130,128,127,126,124,121,118,120,121,120,120,124,128,131,133,131,125,119,114,113,114,115,115,114,115,117,118,118,121,125,127,127,127,128,130,129,131,133,134,132,131,131,129,122,121,125,128,129,129,130,130,130,132,134,133,131,132,132,131,133,134,135,136,134,131,127,128,130,128,123,118,119,125,129,128,125,123,122,122,125,128,130,130,129,131,134,135,132,130,131,131,132,134,133,133,134,135,132,129,127,128,126,123,122,123,124,127,130,130,126,123,125,128,127,122,117,117,121,124,124,123,124,125,127,128,129,131,130,127,127,130,132,132,132,133,133,132,130,129,129,130,131,132,133,134,135,135,132,131,132,133,134,135,135,135,134,135,136,136,136,135,133,132,132,133,134,135,136,135,134,134,135,132,125,119,117,117,119,121,122,122,122,121,120,121,122,124,127,128,129,129,129,129,128,129,129,129,127,null],[95,95,94,102,107,105,103,103,103,103,102,102,102,102,101,101,101,99,97,98,99,99,98,98,98,99,100,100,101,105,107,106,108,108,105,101,100,102,102,98,96,96,96,98,103,103,102,102,101,101,99,95,92,94,96,95,93,92,92,92,92,95,100,103,105,103,95,90,85,83,83,84,84,86,89,91,95,104,101,100,100,100,101,103,105,104,101,100,101,100,100,100,101,100,98,99,100,98,97,99,99,99,98,99,101,103,103,102,101,100,99,98,97,99,100,101,100,99,100,102,104,106,107,107,109,109,106,101,100,105,109,109,107,104,102,102,103,104,102,98,95,95,96,98,97,97,96,95,95,97,94,89,87,87,87,87,88,92,93,92,93,96,97,95,93,95,95,92,88,88,90,91,88,86,86,89,93,98,99,98,96,96,98,99,100,101,100,99,98,98,98,99,101,102,102,101,100,101,103,104,105,106,107,108,108,107,105,102,101,102,102,99,96,95,98,100,99,96,94,96,99,102,104,104,104,105,106,104,101,99,100,104,107,106,105,105,106,107,107,107,106,106,106,108,108,107,106,106,106,107,106,105,106,107,109,109,110,108,107,107,108,108,108,108,107,107,107,108,108,108,108,108,105,104,105,106,106,106,106,107,108,108,107,106,107,108,108,108,107,107,107,108,108,108,108,109,110,111,113,114,113,112,115,119,123,126,129,130,131,132,131,130,132,133,130,127,126,125,122,119,123,129,130,128,128,129,131,133,133,128,118,113,114,116,116,115,114,114,116,119,120,119,119,123,129,132,131,128,129,131,133,132,133,134,134,130,124,123,126,127,127,128,128,127,128,130,132,131,130,132,133,132,130,130,133,133,131,129,130,131,132,128,123,118,121,129,135,134,131,128,125,123,123,126,129,130,130,130,129,128,127,130,134,134,134,133,132,131,132,132,131,130,128,125,123,125,130,130,127,130,133,129,126,126,129,132,130,125,120,118,118,120,126,131,130,128,128,127,127,126,122,121,126,129,128,128,131,131,128,124,124,126,128,128,128,129,130,132,134,133,130,131,133,135,135,134,134,135,136,137,137,136,132,129,129,132,134,135,136,135,134,134,136,136,133,128,124,122,121,121,122,121,119,119,120,120,121,122,122,120,120,122,125,127,127,128,129,130,132,131,130,null],[97,101,103,103,103,104,104,103,104,104,102,102,102,100,101,102,101,99,97,98,99,98,98,98,99,99,100,100,101,105,107,107,108,107,103,100,99,98,98,97,98,98,95,95,101,104,104,103,102,104,104,99,93,92,94,94,94,95,94,93,93,95,99,102,104,104,97,89,86,84,84,83,83,85,89,97,102,103,102,101,101,101,102,103,105,104,102,100,100,100,101,101,101,100,100,103,104,103,101,100,100,99,99,101,101,103,104,102,101,100,99,98,97,98,100,101,99,98,100,102,104,107,108,106,107,107,105,102,102,106,108,108,106,103,101,101,102,104,102,97,94,95,97,98,98,98,99,98,97,96,94,90,88,87,87,86,87,89,91,92,95,97,96,94,92,94,94,92,89,89,91,89,86,85,88,91,96,100,100,98,96,96,97,97,99,100,99,97,97,98,99,101,102,104,103,100,100,104,108,108,107,108,108,108,108,107,105,102,102,104,102,98,95,96,100,102,100,97,96,99,103,105,106,106,106,105,106,107,106,102,99,101,104,105,105,105,106,107,107,108,107,106,106,107,108,108,108,107,106,105,105,104,105,107,107,108,110,109,107,107,108,108,109,108,108,107,107,107,107,108,109,108,106,106,106,107,107,106,106,107,108,108,108,107,106,107,107,106,107,107,107,107,107,107,107,108,109,112,114,114,114,117,121,125,128,129,129,129,131,131,130,130,133,133,130,129,129,127,123,119,122,128,130,132,133,131,130,131,130,123,115,112,114,117,116,115,115,116,119,121,121,119,118,122,127,129,128,127,130,132,132,131,133,133,130,127,124,126,130,130,129,131,131,130,129,130,132,131,130,131,132,132,131,130,132,131,131,131,132,133,132,128,123,119,121,128,135,133,131,130,129,126,122,122,125,125,125,125,126,127,128,131,133,133,132,131,131,132,132,132,132,132,130,127,125,126,131,131,129,131,133,129,127,128,129,130,129,126,121,118,117,119,124,129,130,129,126,125,124,122,120,120,122,123,123,124,125,125,123,122,127,131,132,129,127,127,128,130,132,132,131,132,133,133,134,133,132,134,135,136,136,134,130,128,131,135,136,135,135,134,133,133,135,135,133,129,126,125,124,123,122,121,120,120,120,121,123,123,122,120,119,118,119,122,125,127,127,129,131,131,129,null],[92,94,97,105,100,105,104,102,104,104,103,103,101,98,100,103,102,99,97,97,97,98,98,97,98,100,101,101,102,106,107,105,106,105,103,100,98,95,96,98,101,99,96,95,100,105,105,102,104,109,109,103,94,91,92,92,93,94,95,94,93,96,101,102,104,104,93,83,86,84,84,83,83,86,90,99,102,103,102,101,101,102,104,105,105,102,100,99,100,101,102,102,101,100,99,100,100,101,100,99,98,98,99,100,101,102,103,102,100,99,98,99,99,99,99,101,99,97,99,103,106,107,106,106,106,106,104,102,102,103,105,106,106,104,102,101,102,104,102,97,93,94,97,98,98,98,99,99,98,95,92,90,88,87,86,85,87,89,91,93,96,96,94,92,92,93,94,93,91,90,89,87,86,89,92,96,100,102,101,98,96,96,96,97,99,100,98,97,99,100,101,102,104,105,104,101,102,107,111,110,108,108,108,108,107,106,105,104,104,104,102,98,96,99,102,103,100,99,101,104,104,105,106,107,107,107,107,108,107,104,102,101,100,100,101,103,105,107,108,108,108,106,105,105,107,107,107,106,105,105,105,105,106,106,105,105,107,108,108,108,108,108,107,106,106,106,106,106,106,108,108,107,107,108,108,107,107,107,107,107,107,107,107,107,107,107,106,106,107,108,108,108,107,106,107,108,110,112,114,114,115,119,123,126,128,128,127,128,129,129,129,130,133,133,131,131,132,129,123,121,123,128,130,133,135,134,131,129,123,117,113,113,115,115,115,116,117,119,120,122,122,122,121,121,123,126,126,127,131,133,131,131,132,132,129,126,126,130,133,133,132,133,133,132,130,130,132,132,130,129,130,132,132,131,132,133,134,134,134,132,131,127,122,119,122,128,133,133,132,132,132,130,126,124,123,122,123,125,128,129,130,131,132,133,131,130,131,133,134,133,131,130,130,129,126,126,131,132,130,132,133,131,129,130,128,128,129,128,123,118,117,120,122,126,129,127,122,120,120,120,122,123,123,122,121,121,121,120,121,124,130,133,131,130,129,130,131,131,132,132,133,132,131,132,133,134,134,134,134,135,134,132,130,130,133,135,136,135,134,134,135,135,134,134,135,133,132,130,128,124,123,123,123,122,122,123,124,124,123,121,119,118,116,117,121,125,126,126,126,126,127,null],[91,91,94,102,102,103,103,102,103,104,103,102,100,98,99,102,101,99,97,96,97,98,98,97,99,101,103,103,102,105,106,105,105,104,103,101,99,97,96,98,99,100,98,98,101,106,106,103,105,110,110,103,96,93,93,92,91,93,94,93,92,95,100,103,101,100,104,105,85,83,83,84,84,86,91,99,101,103,103,102,101,102,104,104,103,101,101,99,99,101,103,103,102,100,99,98,97,97,98,98,99,99,99,101,102,103,102,101,100,100,100,100,101,100,100,101,99,98,101,105,107,107,106,105,106,106,104,101,98,99,102,105,106,105,103,101,102,103,102,98,95,95,96,97,97,97,98,98,97,94,91,90,89,88,87,86,87,89,92,94,95,95,94,93,92,93,93,92,90,89,88,88,90,93,96,99,101,101,100,98,98,97,97,97,99,100,100,100,101,102,102,102,104,105,105,105,106,109,110,108,106,107,107,106,105,104,103,103,103,102,100,98,99,102,104,103,100,100,103,105,105,105,105,106,107,107,108,108,107,105,105,103,100,97,98,101,104,107,107,108,108,106,105,105,106,106,105,105,105,105,105,106,107,107,104,103,104,106,108,107,106,105,104,105,106,106,106,105,106,108,108,107,107,108,108,107,107,107,107,107,106,106,107,108,109,108,107,107,109,110,110,109,108,107,107,108,110,112,115,117,118,120,123,124,125,125,126,128,129,129,128,129,130,129,128,129,130,125,122,123,126,128,130,132,135,136,132,125,118,113,112,114,116,116,116,115,117,119,120,122,123,126,125,123,122,124,125,128,132,134,133,131,131,130,128,127,130,133,135,134,133,133,133,132,131,131,132,132,132,131,131,132,133,133,133,135,136,136,134,131,128,123,118,117,122,129,133,134,133,132,132,131,129,127,125,125,125,126,129,131,132,131,132,132,130,130,132,135,136,133,131,131,132,131,128,127,131,132,130,132,133,132,132,132,130,128,127,126,123,118,118,120,121,123,126,123,119,120,121,122,126,128,128,125,123,124,123,121,120,123,129,131,129,131,133,134,134,133,132,132,133,133,132,131,132,133,135,135,134,134,134,130,129,130,131,131,133,133,133,134,136,136,135,134,134,136,135,135,132,129,127,126,124,122,123,124,124,123,122,120,120,119,118,118,119,122,124,124,123,123,123,null],[91,91,94,95,104,102,101,102,103,103,102,101,100,100,101,101,100,98,96,96,96,97,97,97,98,101,104,104,102,103,104,106,105,104,103,102,100,99,98,97,98,100,101,101,102,105,108,106,107,107,105,100,96,96,96,93,91,92,93,93,91,92,97,102,99,97,118,132,84,82,83,84,85,88,92,99,101,102,103,102,101,101,102,102,101,101,102,101,99,100,102,103,103,102,101,99,98,97,97,99,101,101,102,103,103,103,102,100,100,101,101,101,103,103,102,101,101,102,104,106,108,107,106,105,107,107,105,100,95,96,100,104,106,106,103,101,101,102,102,100,97,96,96,96,97,97,97,96,96,95,92,89,88,89,90,89,89,91,92,92,93,93,93,93,93,93,92,89,88,88,89,91,94,97,99,100,100,98,98,99,100,99,98,98,99,101,103,103,104,103,103,103,102,104,107,110,110,110,109,105,104,106,106,105,104,103,102,102,100,98,98,99,101,103,104,103,102,100,101,104,105,105,105,105,106,107,109,108,106,104,104,104,102,99,98,100,103,106,106,106,105,106,107,108,107,106,106,106,106,105,104,105,107,107,106,103,103,104,106,105,103,102,103,104,106,106,105,105,106,107,108,108,107,106,107,107,107,107,108,107,106,105,106,107,109,108,108,108,110,111,111,110,109,109,109,110,112,116,120,123,123,122,122,123,123,124,128,131,132,130,128,127,126,125,124,124,124,121,121,125,127,128,129,132,135,135,131,122,116,113,112,114,118,119,118,116,115,118,120,122,124,126,127,127,126,124,125,128,132,134,135,133,131,129,127,128,133,135,134,133,132,131,131,131,132,132,132,132,133,133,132,131,132,134,136,137,137,136,134,130,126,121,116,117,123,131,135,135,133,132,132,131,129,129,130,131,128,126,129,132,133,132,131,131,131,132,133,134,135,134,132,133,134,132,128,127,130,130,129,132,134,132,132,133,132,129,125,124,122,120,119,120,120,120,122,121,121,124,126,127,130,133,132,129,127,130,130,127,122,121,124,128,128,132,135,135,133,132,132,132,133,134,133,132,131,133,135,136,135,134,133,128,127,129,129,129,130,131,132,133,135,136,135,134,133,135,137,137,136,134,132,129,125,122,122,123,123,123,121,119,119,121,121,121,121,121,122,123,124,122,121,null],[92,92,95,96,105,102,102,102,102,101,100,99,100,100,101,100,98,97,96,95,95,96,95,95,97,100,102,103,103,104,105,106,104,102,101,101,99,98,97,99,100,101,102,101,101,103,107,109,109,106,100,96,95,96,96,93,90,91,92,92,92,91,95,101,99,96,110,119,83,81,83,85,86,89,93,99,100,100,100,100,100,100,100,100,100,102,103,102,100,100,101,102,103,103,102,100,99,99,99,100,101,103,103,102,102,102,101,101,101,100,101,102,104,106,105,104,104,105,106,107,108,108,107,106,107,108,105,99,94,95,100,104,105,105,104,103,103,104,103,101,98,97,97,97,96,96,97,96,96,96,93,90,89,91,92,93,93,93,92,90,91,92,92,92,92,92,90,88,89,91,92,93,96,100,101,100,98,97,98,100,100,99,98,99,100,102,104,105,104,104,104,104,103,103,108,112,112,111,109,107,106,108,108,107,106,104,101,100,100,99,99,101,103,104,104,104,104,102,101,102,105,106,105,105,106,108,109,109,107,105,104,104,104,103,102,102,103,104,104,104,105,106,107,108,109,108,108,107,106,105,104,105,107,108,107,105,104,104,106,105,103,103,103,103,104,104,104,103,104,106,108,109,108,106,105,106,107,107,108,107,105,104,104,106,107,108,108,109,111,112,111,111,111,111,111,114,119,123,124,125,126,125,124,125,125,127,132,134,133,130,129,129,129,127,125,123,120,119,120,125,129,131,131,132,134,135,129,120,114,112,113,116,120,122,120,117,115,116,119,122,122,123,125,129,129,126,124,126,131,134,135,134,131,129,128,129,132,133,132,130,129,129,129,129,129,131,132,132,132,133,132,130,131,134,137,137,137,137,135,130,125,120,117,120,126,132,135,134,132,133,133,131,129,130,133,133,129,126,129,133,134,132,131,132,133,133,134,135,136,135,134,134,134,132,129,126,128,129,129,133,135,132,130,131,130,129,126,124,122,121,121,120,119,119,121,123,126,128,129,130,132,135,135,132,130,133,134,130,125,122,122,124,127,130,132,131,130,131,132,134,133,132,132,130,131,134,135,135,136,134,131,129,129,132,133,132,131,130,129,130,132,134,133,132,132,134,136,136,136,137,136,133,127,123,122,123,123,122,120,119,119,121,122,123,122,121,120,121,123,123,123,null],[93,94,96,98,104,104,104,104,103,101,99,98,99,101,102,100,96,95,96,96,95,96,95,93,95,98,101,102,105,106,107,105,102,100,99,99,100,98,98,101,102,101,101,100,99,101,106,111,110,105,99,96,95,95,94,91,90,90,90,91,92,94,96,100,101,98,95,93,83,81,83,85,87,90,94,99,101,100,98,98,99,99,99,100,100,101,101,101,101,101,102,103,103,102,101,100,99,100,99,99,100,102,103,102,101,101,101,102,100,98,99,101,104,106,108,107,107,107,106,106,107,108,107,106,108,108,105,99,96,97,100,104,105,103,103,104,104,105,103,101,98,97,98,97,96,96,96,97,97,97,95,93,91,91,92,94,95,93,91,89,90,91,91,90,90,89,89,89,92,93,94,95,98,100,101,98,97,97,98,99,99,98,99,102,103,103,104,105,105,104,104,105,105,106,109,111,111,111,111,110,110,110,110,110,109,105,102,100,100,101,103,104,104,104,104,105,105,103,101,102,104,106,106,106,107,108,110,110,109,107,105,105,105,106,105,102,101,102,104,104,104,105,106,107,108,109,110,109,108,106,104,105,106,108,107,106,105,104,104,103,103,103,103,103,102,102,102,101,102,106,108,109,108,106,105,105,107,108,107,106,104,104,104,106,107,108,109,110,111,111,111,112,113,113,115,120,127,129,126,126,127,127,127,127,129,133,135,135,132,130,130,132,134,133,130,126,122,120,121,124,130,134,133,133,134,133,127,118,112,112,113,117,121,122,121,120,117,116,118,121,122,122,124,129,130,127,124,126,130,133,134,134,133,131,130,129,129,129,129,128,128,127,126,127,128,130,131,131,131,133,132,130,131,133,134,133,134,135,134,129,123,119,119,123,128,131,132,133,134,134,134,132,130,132,134,131,127,126,130,134,134,132,131,133,134,133,134,135,136,137,137,134,132,130,128,126,127,129,131,134,135,133,130,129,130,131,128,126,123,121,120,120,119,119,122,126,130,130,129,130,133,135,133,131,132,133,134,131,128,126,123,123,125,126,125,126,127,129,134,135,134,130,129,130,133,135,134,133,134,131,129,129,133,135,136,136,135,132,130,130,131,132,132,133,133,133,135,135,135,136,137,135,132,128,125,123,123,122,121,120,120,120,121,122,123,121,120,120,122,123,125,null],[94,96,99,101,104,104,105,106,104,101,98,96,98,103,103,99,95,94,96,96,95,97,96,94,95,97,100,102,105,107,106,103,100,98,98,100,101,100,100,103,104,102,102,101,101,101,105,109,108,105,103,101,98,95,94,92,91,91,90,90,92,95,99,100,100,99,94,88,84,82,83,85,87,90,94,100,101,100,100,100,100,99,99,101,99,99,99,100,100,101,103,104,103,101,99,99,99,99,98,97,99,101,102,102,101,100,100,100,98,96,96,99,103,106,108,108,107,105,105,106,107,108,107,106,108,108,105,100,99,99,101,103,104,103,102,102,102,103,103,101,99,98,98,97,95,95,96,98,99,99,98,97,92,90,90,92,92,91,90,89,90,91,90,88,88,88,90,92,93,94,95,97,98,99,98,97,96,98,100,99,98,98,103,107,107,104,103,105,106,106,105,105,107,109,110,110,111,111,112,113,112,111,112,113,111,107,102,100,100,103,104,104,103,103,103,104,103,101,101,102,104,104,104,105,107,109,110,110,108,107,107,107,107,106,104,102,101,102,103,103,102,102,103,103,105,107,109,110,109,107,105,104,105,106,105,104,103,101,100,100,100,101,102,102,101,100,99,100,102,106,107,107,107,105,105,106,107,107,106,105,105,105,106,108,109,109,109,109,110,111,111,112,113,116,119,125,131,132,128,127,127,127,127,129,134,136,135,134,132,130,132,135,137,135,134,131,128,124,121,124,129,133,134,134,133,129,123,117,113,113,115,118,120,120,121,123,121,116,116,119,122,123,125,128,129,127,126,128,130,131,133,133,132,132,131,129,126,126,127,128,127,125,125,127,129,130,130,130,131,133,133,132,131,131,130,130,130,131,130,126,122,119,121,124,127,128,129,133,135,135,135,134,133,133,133,130,126,126,130,133,133,133,132,132,132,133,134,134,135,137,138,135,131,128,126,127,129,131,133,134,134,134,132,130,130,132,131,127,122,119,119,120,119,119,120,125,130,128,127,129,134,135,131,130,133,132,132,131,131,129,127,126,126,123,122,123,125,129,133,134,132,130,130,131,133,134,133,131,131,128,127,130,134,135,135,135,136,135,134,135,134,134,135,135,135,135,135,135,135,137,138,137,136,134,129,125,122,122,123,122,121,121,122,122,122,123,122,121,121,122,124,null],[96,97,105,104,102,103,104,105,104,101,98,95,97,104,104,98,95,94,95,95,94,96,96,96,97,100,102,104,106,106,104,102,99,97,98,102,105,102,100,103,104,102,101,100,101,102,103,105,106,105,105,103,100,98,96,94,92,92,90,89,92,95,97,97,97,97,93,88,84,83,83,84,87,90,94,100,101,101,102,102,102,101,101,101,100,100,100,100,100,100,101,103,103,102,100,100,99,101,100,99,100,100,101,101,101,101,100,99,97,96,96,99,104,106,107,106,105,105,106,109,109,108,107,106,107,107,104,102,101,102,103,103,103,103,103,102,101,101,102,102,100,99,97,95,94,94,95,98,99,100,98,96,92,89,89,89,90,90,90,90,90,90,88,86,86,88,91,92,92,93,96,98,99,98,97,96,96,98,100,100,99,102,106,109,108,105,104,105,107,106,105,105,107,110,111,111,111,112,113,113,112,111,112,112,110,106,102,100,100,103,105,104,103,102,102,102,101,99,99,100,102,104,104,103,105,107,109,109,108,107,107,107,107,106,104,103,103,104,104,103,102,101,101,101,102,104,107,108,109,108,107,105,104,103,102,100,98,97,97,97,98,100,102,102,101,100,101,102,104,105,105,105,106,106,105,105,105,106,107,107,107,107,109,110,110,109,109,110,112,112,112,115,118,121,123,126,131,132,129,128,128,129,129,131,134,136,135,134,134,133,134,136,137,136,136,135,132,126,122,123,128,132,134,133,130,125,121,117,114,113,116,119,120,120,121,123,122,118,116,117,121,124,126,127,128,128,129,130,131,132,133,132,131,132,132,130,128,127,126,127,128,127,127,129,130,131,130,130,131,133,133,132,132,132,131,131,131,129,128,125,121,119,121,124,126,128,130,134,136,135,136,136,135,135,135,131,127,127,130,134,133,132,132,132,133,134,134,134,135,136,137,135,131,128,128,129,131,133,134,133,133,133,131,129,130,130,128,125,122,121,121,121,120,119,120,123,126,126,126,130,132,133,131,131,134,133,131,131,131,131,130,130,130,126,123,122,124,128,130,130,130,132,132,131,129,128,129,128,127,126,128,131,134,134,133,133,134,135,137,137,136,136,137,138,137,136,136,135,136,138,139,137,138,136,132,127,123,121,122,122,122,121,122,123,123,123,124,124,122,121,122,null],[96,99,110,107,102,102,102,102,102,100,97,95,98,103,103,98,95,94,94,93,93,94,96,98,100,102,104,105,106,104,102,102,98,96,99,105,106,102,99,101,102,102,100,99,100,102,103,103,103,104,103,102,101,100,99,96,94,92,90,89,91,93,94,94,93,92,90,87,84,83,83,84,87,90,93,99,100,101,103,103,102,102,101,100,100,101,101,100,99,97,98,100,103,104,102,101,100,102,102,102,101,100,99,99,99,99,99,98,97,97,98,102,104,105,104,104,103,105,108,110,110,108,107,108,107,105,102,102,101,103,104,104,103,104,104,103,101,100,102,102,102,101,98,95,94,94,95,97,99,99,97,94,91,90,90,91,90,90,90,90,90,89,87,86,88,90,92,92,91,93,96,98,98,97,97,96,97,98,99,101,102,105,108,108,107,106,105,105,107,106,105,105,106,109,111,112,113,113,113,113,112,111,111,112,109,105,102,100,100,102,105,105,103,102,101,101,101,99,98,98,100,102,103,103,104,105,107,108,108,108,108,107,106,104,104,104,105,105,105,105,104,103,102,102,102,102,103,104,105,107,108,107,106,103,101,99,97,97,97,98,99,101,102,103,103,103,104,105,106,105,104,103,105,105,105,103,103,105,107,107,106,107,109,111,111,110,108,110,114,116,116,119,124,127,127,127,129,131,130,130,131,132,132,132,132,133,134,135,136,135,135,136,137,137,137,136,132,126,122,124,127,131,133,132,127,122,119,117,114,113,116,119,120,121,121,121,121,120,117,116,119,123,125,127,128,129,128,129,130,131,131,130,130,132,133,132,132,130,127,126,128,131,130,131,132,133,133,132,132,133,133,132,133,134,134,134,134,132,129,125,121,119,122,125,127,131,133,135,135,135,136,136,136,137,138,134,129,127,131,133,132,130,131,133,134,134,134,134,135,135,136,134,131,129,130,132,133,133,133,131,131,131,130,128,128,126,123,122,124,124,123,121,120,121,122,121,122,123,127,131,132,131,132,133,134,134,133,132,132,132,132,133,134,131,127,124,125,125,125,125,127,131,133,128,124,123,125,126,125,128,131,133,133,133,132,131,132,134,136,136,136,137,137,138,139,138,137,135,135,137,138,137,136,135,133,130,125,120,119,121,122,123,123,124,124,123,124,125,123,121,120,null],[97,100,109,108,104,103,100,99,99,98,97,97,100,101,100,96,95,94,93,92,92,95,97,99,100,101,103,105,105,104,103,101,96,96,100,105,106,103,101,100,100,100,100,100,100,101,103,105,104,102,101,100,100,101,101,98,94,92,90,91,93,93,92,93,92,88,87,85,84,83,83,84,87,89,92,96,97,98,102,101,99,100,99,98,98,98,98,98,98,98,97,97,100,102,100,100,101,100,101,100,100,99,97,96,96,97,97,96,96,97,99,102,104,103,103,104,105,105,106,107,109,109,109,109,108,104,102,101,100,102,105,105,105,105,104,102,100,99,99,101,103,102,100,97,95,95,96,96,96,97,95,92,91,91,92,93,92,91,89,88,88,88,87,89,91,93,94,93,92,93,96,98,97,97,97,97,99,100,101,102,104,107,108,107,107,107,106,106,106,106,106,106,108,111,113,113,113,112,113,113,112,111,113,113,110,105,101,99,100,102,103,104,103,102,101,100,100,100,99,98,98,100,103,105,105,104,105,106,107,108,109,108,105,102,102,104,105,104,103,104,105,103,102,102,102,102,102,101,101,103,106,108,108,106,104,103,102,101,101,102,102,102,103,104,105,106,107,107,106,105,104,103,103,104,104,103,102,103,105,104,101,101,106,111,113,112,108,110,117,121,121,123,127,129,130,129,131,132,131,132,133,134,133,133,132,133,134,136,137,136,136,136,137,138,137,134,130,126,124,126,128,130,133,132,127,121,117,116,114,114,117,119,121,122,122,121,122,122,119,117,117,119,122,125,128,128,127,126,127,127,126,127,130,133,134,133,133,132,128,126,127,131,133,133,134,135,135,134,135,135,134,134,134,135,135,135,135,134,132,127,119,118,123,128,129,132,135,134,134,135,135,135,135,136,137,135,131,128,129,130,129,129,131,133,133,133,134,134,133,134,135,133,130,130,132,134,134,133,132,130,130,129,129,128,124,121,122,124,125,124,121,120,119,122,124,123,121,122,126,131,133,133,134,133,134,133,133,133,133,133,132,133,134,133,131,128,127,126,124,123,125,127,127,126,125,124,124,125,128,132,135,135,134,132,131,130,131,132,133,135,136,137,137,137,137,137,136,133,133,133,136,136,134,134,134,133,127,120,117,120,123,124,124,123,124,122,122,123,123,123,122,null],[97,100,107,106,105,102,100,99,98,97,97,99,101,100,97,95,95,95,94,92,93,97,99,99,99,101,104,106,106,104,101,99,94,95,101,105,104,103,102,101,100,101,102,102,101,100,102,103,103,101,100,100,100,100,100,98,96,93,92,93,94,93,92,94,92,88,86,84,83,83,83,84,87,89,92,96,94,95,100,99,96,97,97,96,96,96,98,99,100,99,97,96,97,99,99,101,101,100,98,98,97,96,95,94,93,94,94,94,94,95,97,101,102,102,102,104,106,105,105,106,108,109,109,110,107,103,100,99,100,102,105,106,106,105,104,102,100,98,98,99,102,103,101,97,95,95,95,94,93,94,93,91,90,91,92,93,92,90,89,87,87,88,88,91,94,95,94,93,92,93,96,97,96,96,98,100,102,104,104,104,104,106,107,107,107,106,106,106,106,106,106,106,109,113,114,113,112,112,112,113,112,111,113,112,109,105,101,100,99,100,102,104,104,103,102,100,100,101,101,99,98,100,103,106,106,104,104,105,105,106,109,109,106,103,102,104,104,103,103,105,105,103,102,102,103,103,102,100,99,100,104,106,108,108,108,108,107,106,105,105,104,104,104,105,106,107,106,105,105,105,104,103,103,104,104,103,101,100,102,102,97,98,105,112,114,114,112,115,122,126,125,125,127,129,131,132,133,132,131,132,133,135,135,133,132,133,134,134,135,135,135,135,135,134,133,129,126,126,128,130,130,131,132,130,124,118,114,113,114,116,118,119,120,122,123,123,123,123,121,119,118,117,119,122,125,126,125,124,125,125,124,126,130,132,132,133,133,132,130,127,128,131,133,132,133,133,134,135,136,137,136,134,134,134,134,134,134,134,131,125,119,117,123,128,130,132,133,134,134,135,135,135,135,136,136,135,132,129,127,127,129,130,132,132,132,133,134,134,133,134,135,131,129,130,133,135,134,133,133,131,131,130,130,128,123,122,125,127,126,123,120,118,119,123,127,126,122,122,125,129,132,132,132,131,132,132,133,132,133,133,132,132,133,133,133,131,130,130,128,127,128,127,126,127,128,128,126,125,129,133,134,133,131,130,129,130,133,133,132,134,136,137,136,136,136,136,135,130,128,130,134,136,135,134,133,131,127,122,119,120,123,125,124,122,122,121,121,122,123,124,124,null],[98,101,106,104,103,101,102,101,98,95,97,100,101,100,97,95,95,95,94,94,96,99,101,100,101,103,104,107,107,104,99,96,93,96,102,105,104,103,102,101,102,103,103,103,102,101,100,100,100,101,102,103,101,99,98,98,97,96,94,94,93,94,94,93,90,87,86,83,83,82,83,85,87,89,93,99,95,95,98,99,97,97,95,95,96,98,100,101,101,100,98,96,95,97,100,102,101,101,99,98,96,95,95,94,93,92,91,91,92,93,95,98,101,101,102,104,105,105,106,107,108,108,108,108,104,100,98,99,102,104,104,104,104,104,104,103,102,99,98,98,100,101,98,95,94,94,92,90,90,92,91,89,90,91,92,91,89,88,88,87,87,89,91,93,95,95,93,92,92,95,97,97,97,97,100,103,106,108,108,106,104,104,105,107,106,105,105,107,107,106,104,105,109,112,114,113,113,113,114,113,112,112,111,110,109,106,102,98,97,99,102,104,105,105,104,102,101,101,102,101,99,100,103,105,105,105,105,104,103,104,107,108,107,106,105,106,106,105,105,106,105,104,102,102,103,103,102,102,101,102,103,104,105,106,107,108,108,106,105,105,105,105,105,106,106,106,105,104,104,104,103,102,103,104,105,103,100,99,101,101,98,100,107,114,116,116,119,124,128,129,127,127,128,130,133,134,132,130,130,131,133,135,136,135,134,133,133,132,132,132,132,132,131,128,126,124,124,127,131,133,133,133,132,127,120,113,111,112,116,117,117,117,119,121,123,124,123,122,121,122,122,120,118,118,121,123,124,125,126,126,126,128,129,130,130,133,134,133,131,130,130,132,132,131,132,132,132,133,134,136,136,135,133,133,135,134,133,129,126,122,119,119,123,127,129,130,131,133,134,134,135,135,135,136,136,135,133,131,129,129,131,132,133,132,132,133,134,134,133,134,135,132,131,132,134,135,133,133,134,133,132,132,130,127,126,128,130,130,126,123,120,118,118,123,129,127,122,122,124,127,130,130,129,129,130,132,132,131,132,134,132,131,132,132,132,132,133,133,133,133,133,132,130,130,131,131,128,126,128,130,130,129,128,127,127,130,134,135,133,134,135,135,135,135,137,137,134,129,126,129,134,138,139,136,132,128,127,126,124,121,122,123,122,122,122,121,121,124,124,124,124,null],[102,106,106,102,100,102,103,102,96,94,98,100,100,99,97,95,94,94,94,97,100,102,103,102,102,103,104,105,105,103,98,94,95,99,104,105,104,102,101,100,101,103,105,104,103,102,101,99,99,102,105,105,102,100,99,99,100,99,96,94,94,96,95,91,87,85,84,83,82,82,83,85,88,91,95,100,98,98,101,101,100,99,97,97,97,98,98,99,99,99,99,97,97,98,99,99,98,99,100,99,97,97,96,95,93,92,92,92,92,92,94,96,98,99,99,100,102,105,107,108,108,107,106,106,103,98,97,100,104,105,103,103,103,104,104,103,103,101,99,99,98,97,95,92,91,90,88,88,89,90,90,90,90,92,92,90,89,88,87,86,88,91,93,95,95,95,93,91,92,96,99,101,101,102,104,106,108,110,109,107,105,104,104,104,104,104,105,108,108,104,102,103,108,112,114,114,114,115,115,114,113,113,112,110,109,107,102,98,97,100,102,104,104,104,104,103,102,102,102,102,101,102,103,103,104,105,105,104,103,103,103,106,108,108,107,107,107,107,106,106,106,106,104,103,103,103,103,102,102,103,103,103,103,104,106,106,104,102,102,103,104,104,105,106,106,105,105,105,105,104,103,102,103,104,104,103,101,100,100,100,100,103,110,116,118,119,124,129,131,130,130,129,130,132,134,134,131,129,130,132,133,135,135,136,136,135,133,130,128,126,127,128,126,125,124,124,126,129,132,133,133,133,132,126,117,111,111,114,117,118,117,117,119,121,123,124,123,121,121,124,126,125,121,118,118,120,124,127,128,130,131,130,129,129,130,133,134,134,133,133,133,133,133,133,133,134,134,134,134,135,136,136,135,135,136,134,130,127,124,123,121,121,124,127,128,130,131,132,133,134,135,134,134,134,135,134,133,132,132,132,133,133,133,133,134,135,134,134,134,135,136,134,133,133,134,135,134,133,133,132,132,132,128,126,128,131,132,132,128,123,120,119,119,124,129,128,124,123,125,129,131,130,128,128,131,131,131,130,133,135,133,131,132,132,131,131,132,134,135,135,134,134,133,130,130,131,131,129,127,127,127,126,125,125,127,129,132,133,132,133,134,134,134,136,138,138,136,133,130,131,134,138,140,136,133,130,130,130,129,127,125,123,121,122,123,122,122,124,124,123,123,null],[105,107,104,101,101,103,103,100,95,94,97,99,98,97,96,95,94,94,95,99,103,103,103,104,103,102,102,103,103,101,97,94,98,103,105,104,102,102,101,100,101,103,106,105,103,104,102,99,99,103,104,103,102,101,100,100,101,100,98,96,97,98,95,89,85,84,83,83,83,83,83,85,89,92,96,101,101,101,103,104,103,101,100,99,98,98,96,96,97,99,99,98,98,99,98,95,94,95,98,97,97,97,96,95,94,94,94,95,95,94,94,95,96,97,97,96,99,103,106,107,107,106,105,105,104,100,97,99,103,105,104,103,103,104,104,103,103,102,101,98,96,94,93,92,90,88,87,88,89,90,91,92,93,93,92,91,89,88,87,87,90,94,97,97,96,96,94,93,93,96,100,102,104,106,108,108,108,108,108,107,105,104,103,103,103,104,106,108,107,103,101,104,110,114,114,114,114,115,116,114,114,114,113,112,111,107,103,99,98,100,102,103,104,104,103,103,103,102,101,102,103,103,103,103,103,105,105,105,105,103,102,104,108,109,108,107,107,107,106,105,106,106,106,104,103,103,103,102,101,102,103,102,102,103,104,103,101,99,99,101,102,103,104,105,105,105,105,106,106,105,105,104,103,103,103,104,103,100,98,99,103,108,114,119,121,122,125,129,131,132,132,132,132,134,135,134,130,128,131,134,135,134,134,135,137,136,134,131,128,125,125,126,126,126,126,128,130,131,132,132,133,134,132,126,116,111,113,116,118,118,117,117,119,120,122,124,123,120,121,124,128,128,126,123,120,120,123,128,130,133,134,133,131,131,132,133,134,134,134,135,135,135,135,135,135,135,135,135,134,135,135,136,136,136,135,133,129,128,126,124,122,121,124,126,128,130,131,131,133,134,134,133,132,133,134,134,133,133,134,135,133,132,132,134,135,135,134,134,135,136,137,136,135,135,135,135,134,132,132,131,130,129,127,127,129,131,132,131,128,122,120,121,121,124,129,130,126,124,124,128,131,130,128,128,131,130,129,129,132,133,132,132,132,131,131,130,132,133,134,133,132,133,134,130,128,131,134,133,128,127,127,125,124,125,127,128,129,128,129,130,132,132,133,135,136,136,137,136,135,134,136,138,137,136,135,135,134,133,132,132,129,125,122,122,124,124,123,123,123,123,121,null],[104,105,102,101,102,103,101,98,95,95,95,97,97,96,94,93,95,96,96,100,102,101,102,105,103,101,101,102,102,99,95,94,99,105,105,102,101,102,102,102,102,104,105,104,103,102,101,98,99,102,101,99,101,102,101,100,100,101,100,101,102,100,94,88,85,83,83,83,83,83,83,86,90,96,99,101,102,102,102,103,103,102,100,100,100,99,96,95,97,100,100,98,96,97,97,95,93,93,93,94,94,94,94,94,95,95,97,99,99,99,97,96,96,97,96,94,96,101,104,106,106,105,104,105,106,104,99,96,100,104,105,104,103,103,104,105,104,103,100,95,92,91,92,93,91,88,88,89,90,90,92,94,94,93,91,90,90,89,89,90,94,98,100,100,98,96,95,96,96,96,98,101,104,108,109,108,107,108,108,106,105,104,105,104,104,105,107,108,106,104,104,107,112,115,115,115,115,115,115,115,114,114,114,114,113,110,105,101,99,100,101,103,104,105,104,102,101,101,102,103,104,104,103,103,104,105,105,106,105,104,103,104,106,109,108,107,107,107,106,105,105,106,105,104,103,103,101,100,100,101,102,103,102,102,102,102,100,99,99,100,101,102,103,103,103,103,104,104,105,106,107,107,105,103,104,106,105,101,98,100,107,115,120,123,125,125,126,128,132,133,133,132,133,134,135,133,130,129,131,134,135,134,134,135,137,136,133,132,133,131,129,128,128,128,129,130,132,133,134,134,134,134,131,122,114,112,115,117,119,120,118,118,119,120,122,124,124,122,122,124,127,128,128,128,125,122,122,125,129,133,134,133,133,133,132,132,133,135,136,135,135,135,135,135,134,134,134,134,135,136,136,135,135,134,131,130,131,130,127,123,122,123,122,124,127,129,130,130,132,133,132,132,132,134,135,134,134,134,135,135,132,131,132,134,134,133,133,133,134,135,136,137,137,136,135,134,133,133,131,130,128,126,127,130,131,132,131,129,125,121,121,122,122,124,129,131,129,125,122,124,127,128,126,127,129,128,127,127,128,128,130,131,131,130,129,129,132,134,133,132,131,132,133,131,131,133,136,135,131,129,129,128,126,125,126,127,127,126,125,126,128,130,132,133,134,134,135,136,137,137,137,137,135,135,136,137,136,135,135,135,132,128,123,123,124,125,124,123,122,123,121,null],[104,103,101,101,102,102,100,97,96,95,95,94,95,94,93,94,96,98,97,100,103,102,103,105,103,101,101,103,102,96,94,96,100,103,103,101,102,104,104,103,103,104,104,102,101,100,100,100,102,102,100,99,101,102,101,100,100,101,102,104,105,100,93,87,85,82,82,83,83,83,83,86,90,97,101,100,101,101,100,101,102,102,101,101,100,99,97,95,96,98,98,96,94,95,96,97,96,95,93,92,91,91,92,94,95,97,99,100,101,101,101,99,98,98,97,95,97,101,103,104,104,103,103,105,107,106,99,95,98,103,106,104,102,102,104,105,104,101,97,93,91,90,92,93,92,89,89,89,90,92,94,95,95,93,91,91,92,93,94,96,99,102,101,100,98,96,97,99,99,97,97,99,102,105,107,106,107,107,107,106,105,106,107,107,107,108,109,108,106,106,107,110,113,115,116,115,115,114,114,115,115,114,114,115,115,113,108,104,101,101,103,104,104,104,104,103,102,101,101,102,103,103,102,103,104,105,105,105,105,105,104,103,104,107,108,108,108,108,106,105,105,105,103,102,103,102,101,99,98,99,100,102,102,102,102,102,102,102,102,101,100,99,98,99,99,100,100,102,105,108,109,108,107,105,105,107,107,104,102,106,115,123,127,127,127,128,128,129,132,133,132,132,133,134,134,132,129,129,131,133,134,134,134,135,136,136,134,135,137,137,133,130,129,130,131,132,133,132,130,130,131,130,125,117,112,113,115,116,118,120,119,119,120,120,121,123,125,124,123,123,124,125,127,130,128,122,121,123,127,130,130,129,129,130,130,129,130,131,133,132,132,134,136,136,134,134,135,135,136,136,136,134,134,132,130,131,133,131,126,123,123,124,122,122,124,128,130,130,130,131,131,131,133,134,135,135,134,134,135,135,133,133,133,134,133,133,133,133,133,134,135,137,137,136,135,134,134,132,130,129,128,127,129,132,133,132,129,125,122,121,122,123,123,126,129,132,131,127,123,121,122,124,124,125,126,125,124,125,125,125,128,130,130,129,127,128,131,133,132,131,131,132,134,134,133,134,135,136,134,132,131,131,130,128,127,127,129,129,126,125,127,129,129,130,130,131,131,132,134,136,136,134,133,133,134,135,135,135,136,136,134,131,128,126,125,125,123,122,122,124,123,null],[103,103,102,101,101,101,99,97,95,95,95,94,93,93,93,95,98,99,98,101,104,104,104,104,102,101,103,103,100,94,94,99,102,101,102,103,104,106,106,103,103,104,103,100,98,98,101,104,104,103,102,103,102,101,100,101,102,102,102,103,103,97,90,86,85,82,82,83,83,84,85,87,91,96,99,99,100,100,100,99,100,101,103,101,100,99,97,95,93,93,94,94,94,94,96,98,99,99,96,93,92,91,91,93,95,97,98,99,100,101,102,100,98,97,98,99,101,103,103,103,103,103,103,105,106,106,99,95,98,104,106,104,101,101,102,102,101,98,94,93,92,90,91,92,92,90,90,89,91,93,94,95,95,95,94,95,96,98,99,101,103,103,100,98,96,97,99,101,102,100,99,99,101,102,104,104,105,106,106,106,106,108,109,108,109,110,109,108,105,105,107,110,113,115,116,116,115,114,113,114,114,113,114,115,116,115,111,106,102,103,104,104,103,103,104,104,103,101,100,100,101,101,101,102,103,105,105,104,105,105,104,103,103,105,107,109,110,109,106,105,106,105,103,102,102,103,102,99,97,97,100,102,102,102,102,103,103,103,102,101,99,97,95,94,95,96,98,102,106,108,109,108,106,106,106,108,108,109,109,113,122,130,131,128,127,129,131,131,131,131,131,132,134,134,132,130,128,129,131,133,133,134,135,135,137,138,137,137,138,138,136,132,130,131,132,134,133,130,127,126,126,124,118,112,111,113,115,115,115,118,119,120,120,120,121,124,126,125,125,123,122,123,126,130,128,122,120,122,125,127,127,126,126,126,127,127,128,129,130,129,131,133,136,137,136,136,136,136,136,136,135,134,133,132,131,134,134,129,125,125,128,127,123,120,122,126,129,129,129,129,129,132,134,133,133,135,134,133,134,135,134,134,134,133,133,133,134,134,134,134,134,136,137,135,134,134,133,132,130,130,130,130,130,131,133,132,128,122,120,121,122,123,125,128,131,132,132,130,127,124,122,121,123,125,124,124,125,126,126,125,127,128,129,127,126,127,129,131,130,130,130,132,134,136,135,134,134,135,136,134,131,132,133,133,130,129,132,134,132,129,128,130,130,129,128,129,129,130,131,132,132,133,133,133,132,133,134,136,136,135,135,134,133,130,127,124,121,120,123,126,126,null],[101,101,103,102,101,101,98,95,94,94,94,94,92,92,94,97,98,98,98,101,104,104,103,102,100,101,103,101,97,95,97,101,102,102,103,104,105,105,104,102,103,103,101,98,98,101,104,104,103,102,104,104,102,99,99,102,104,103,102,102,98,92,87,85,85,83,82,83,84,85,87,90,91,94,95,96,97,99,100,98,97,98,100,101,102,102,99,94,92,92,93,94,94,94,95,96,98,98,97,95,94,93,93,94,94,95,95,96,97,98,100,99,97,98,100,102,103,104,103,103,105,105,105,105,107,107,101,96,98,103,105,103,100,100,100,97,95,93,93,95,94,91,90,91,92,92,92,92,92,93,94,95,96,97,98,100,101,101,101,101,101,100,99,98,98,98,100,103,104,103,101,101,102,102,102,102,103,104,104,104,105,107,109,109,109,109,109,107,104,101,103,108,112,114,115,116,115,114,113,113,113,113,114,116,116,115,112,108,105,104,104,103,101,101,102,103,103,101,100,99,100,100,100,101,103,104,104,104,104,104,104,103,103,105,107,109,109,108,106,105,105,105,105,103,102,103,102,100,98,98,101,102,102,102,101,101,101,100,99,100,98,96,94,94,95,96,99,103,107,109,108,107,107,107,108,108,109,111,114,118,124,130,132,129,128,131,132,131,130,130,132,133,134,135,133,128,126,129,132,133,134,135,136,138,139,139,139,138,137,137,137,136,135,132,132,133,134,131,129,129,127,122,115,111,112,112,113,114,115,117,119,119,119,120,123,125,127,127,126,125,124,124,127,131,130,126,123,123,125,126,128,129,130,130,129,130,131,132,132,132,133,133,135,137,137,137,136,136,136,136,135,134,133,133,133,134,133,128,127,130,133,132,127,122,121,123,126,127,128,130,131,133,132,131,131,133,134,133,134,134,133,133,133,132,131,132,135,136,136,135,134,136,136,134,133,133,132,132,132,132,133,133,132,131,133,132,128,123,120,121,122,122,126,129,131,131,132,133,132,130,127,124,125,126,126,126,128,131,131,127,125,125,127,126,125,125,127,127,128,128,128,129,132,134,135,133,132,133,135,133,130,132,136,136,133,131,132,134,136,134,131,133,134,133,130,130,131,131,129,128,128,130,132,134,135,136,137,138,138,136,136,136,136,133,129,123,120,120,123,126,128,null],[100,100,103,103,102,100,96,94,93,93,94,94,92,92,94,97,98,98,100,103,104,103,101,100,99,100,101,98,95,97,100,102,104,104,104,103,103,102,101,100,101,101,99,98,100,104,105,101,100,101,103,104,102,100,100,104,104,101,100,99,93,88,85,85,86,83,82,83,85,87,90,94,95,95,95,94,96,97,97,96,95,95,95,97,102,104,100,95,92,92,93,95,95,94,94,95,96,96,96,96,95,95,94,94,94,92,92,93,94,95,96,95,95,97,100,102,103,104,104,104,106,106,105,106,109,109,102,97,97,101,101,99,98,97,95,92,90,90,92,95,94,92,92,93,93,92,93,94,94,93,93,95,96,98,100,102,102,101,99,99,99,99,100,101,101,99,100,103,104,104,103,104,104,104,104,104,103,102,102,102,103,105,107,109,108,107,107,106,102,99,100,104,109,113,114,114,114,113,113,113,113,112,114,115,114,113,112,109,106,104,103,102,101,101,100,101,102,101,100,99,100,101,101,101,102,103,103,104,104,104,103,103,104,105,106,107,108,107,106,104,105,106,106,105,104,104,104,103,101,102,103,103,102,101,100,99,97,95,96,98,98,97,96,95,95,98,102,105,108,109,108,106,107,108,108,108,112,116,117,119,123,128,131,130,129,132,132,130,129,130,132,132,134,135,132,126,125,129,133,135,136,136,137,138,138,138,138,138,137,137,138,138,137,135,132,132,135,134,133,133,130,123,115,111,112,112,111,113,115,117,119,119,119,120,122,125,128,129,127,126,126,126,128,131,131,130,127,125,125,127,131,134,134,133,132,132,133,134,135,135,135,135,135,136,137,137,137,136,135,135,134,134,134,135,135,132,129,126,127,133,137,136,131,125,121,121,124,126,128,130,132,132,131,129,128,133,134,133,134,133,132,133,133,131,130,131,133,136,137,137,136,136,136,135,134,133,133,133,134,135,135,133,131,130,131,130,126,123,121,120,120,121,125,129,130,130,130,131,132,133,131,128,126,126,128,131,133,134,133,129,123,123,127,128,128,127,127,125,126,127,126,127,129,133,134,133,133,134,136,133,129,132,136,136,135,134,132,134,137,136,134,135,137,137,133,132,134,134,132,129,128,129,132,135,137,139,140,140,140,138,137,137,138,136,130,124,121,121,124,126,126,null],[101,101,104,104,101,98,94,92,92,93,93,93,93,94,96,98,100,100,103,105,104,102,100,100,100,99,99,96,96,100,102,103,104,105,102,101,99,98,97,97,98,99,98,100,103,105,102,99,99,103,102,102,102,102,103,103,101,99,97,95,89,85,84,84,84,83,82,83,86,89,93,100,100,99,98,97,96,95,94,95,95,94,92,93,98,102,100,96,92,91,93,95,96,95,96,96,95,95,96,96,95,94,94,95,94,93,93,93,93,92,93,93,94,96,98,101,103,105,106,106,106,105,104,105,109,108,101,95,95,97,96,95,94,93,91,91,91,91,91,92,93,93,94,94,93,93,94,95,95,94,94,95,95,97,100,101,99,98,98,100,101,101,102,103,103,102,101,101,103,106,106,105,104,105,108,108,105,102,101,102,103,105,107,108,107,106,105,104,101,100,101,103,107,111,114,114,114,113,113,113,114,114,114,114,113,111,111,111,109,105,103,102,103,101,100,100,101,101,99,98,100,103,103,103,103,103,103,103,104,103,103,103,105,105,105,106,107,107,105,105,105,106,107,106,106,106,106,106,106,104,103,103,102,100,98,96,95,94,95,97,98,98,97,96,96,99,104,107,108,109,109,108,108,108,108,111,116,122,122,121,125,130,132,130,129,132,133,131,128,127,129,131,133,133,130,125,125,129,132,135,136,136,135,134,134,135,135,137,137,137,137,137,136,136,134,134,135,134,134,133,130,124,117,113,113,113,113,113,114,116,118,119,120,120,122,125,128,130,128,126,127,128,129,129,130,131,130,128,127,128,131,133,133,131,131,132,132,133,134,136,137,136,136,136,136,137,137,136,134,134,133,133,135,136,134,130,125,125,129,134,137,136,134,129,123,120,123,126,128,128,129,131,130,129,129,133,134,133,132,132,132,132,132,131,130,131,131,134,135,137,137,136,135,136,136,135,134,134,134,135,134,131,129,129,130,128,123,121,121,120,119,121,124,127,128,128,128,129,130,131,132,129,125,125,130,134,136,135,132,129,124,123,128,132,134,133,130,128,128,129,128,127,128,132,134,133,135,137,138,134,132,133,135,135,137,138,135,135,138,138,137,137,137,136,135,134,135,136,136,133,130,129,132,135,137,139,141,141,140,138,137,138,139,137,132,127,123,123,125,125,125,null],[101,102,104,103,99,95,92,93,93,93,92,93,95,98,99,100,102,104,104,103,102,102,102,101,100,98,97,95,96,101,104,103,103,104,101,98,96,95,96,97,98,97,97,101,105,103,100,99,102,104,103,102,104,105,104,102,99,96,94,91,87,85,85,83,83,83,83,85,90,95,100,102,101,100,100,100,99,97,94,93,94,95,95,94,95,97,97,97,95,93,92,93,94,93,94,94,94,95,97,98,97,97,97,97,96,96,97,96,95,94,94,94,95,96,99,102,104,105,106,106,106,105,104,106,108,106,98,91,91,92,92,92,92,92,92,92,93,93,92,92,92,93,94,95,94,93,93,94,94,95,96,97,97,98,99,98,97,97,99,101,102,102,102,103,104,103,102,102,103,104,106,105,105,107,109,109,106,103,101,101,103,105,107,108,106,103,101,101,102,102,103,105,108,112,115,115,114,112,112,113,115,114,114,113,111,109,110,112,111,108,104,103,103,102,100,101,102,102,99,96,98,102,103,103,103,103,103,103,104,105,106,106,105,105,105,104,106,107,106,105,105,107,108,108,108,108,107,107,107,106,104,103,102,100,98,96,97,98,99,98,98,98,97,96,96,101,106,108,109,110,109,109,111,111,113,117,122,126,126,126,131,133,132,129,128,131,132,130,127,126,126,130,131,130,127,124,125,126,127,129,131,132,131,129,130,131,133,134,134,136,136,135,134,134,135,135,134,133,132,131,129,126,121,117,115,114,114,113,113,115,118,120,121,122,124,126,128,129,128,127,128,128,128,127,127,130,132,131,130,130,129,130,130,131,132,133,133,133,134,135,136,136,136,136,135,135,135,134,132,131,132,133,134,134,131,127,124,127,132,135,135,136,135,131,125,120,121,126,128,126,128,130,130,130,131,134,135,133,131,130,130,130,130,129,129,131,132,133,136,137,137,135,134,136,136,136,134,134,134,134,132,130,129,130,132,129,123,119,119,119,120,121,123,125,126,126,127,127,130,132,132,128,125,124,128,132,134,133,131,128,126,126,129,134,136,135,132,131,130,131,130,129,128,130,131,133,136,138,137,134,134,135,136,137,138,139,138,137,138,138,138,138,136,135,135,135,135,136,136,134,131,129,132,134,136,138,140,141,140,139,138,138,138,137,134,130,127,125,124,124,124,null],[101,102,104,101,97,93,93,93,92,91,92,95,98,102,103,103,105,106,103,101,101,102,103,102,99,97,96,95,96,100,104,104,103,103,101,99,98,98,99,100,99,98,99,102,104,102,100,101,103,104,104,103,103,104,103,100,97,94,91,88,86,84,85,82,82,83,84,86,91,95,99,100,99,99,100,101,101,99,97,94,93,95,97,95,94,93,94,96,97,96,94,93,92,92,91,92,93,95,97,98,99,100,100,99,99,99,100,100,99,97,98,98,98,99,101,103,105,106,106,106,106,106,105,106,105,102,96,90,89,90,91,92,92,93,93,93,94,94,94,93,93,93,93,94,94,94,94,93,93,95,98,100,100,99,97,97,98,100,101,102,101,99,99,101,103,103,103,102,102,103,104,106,107,108,108,108,106,103,102,102,103,105,107,107,105,102,99,99,103,105,106,108,110,112,115,117,115,112,111,113,115,114,113,113,112,110,110,112,113,111,108,105,103,102,102,103,103,103,100,96,96,98,100,101,103,104,103,103,104,106,108,108,106,106,105,105,106,107,106,105,106,108,110,110,110,109,107,107,106,105,104,103,102,101,100,100,101,103,103,102,99,98,97,96,97,102,106,108,110,111,111,112,115,116,119,123,126,128,128,131,135,135,131,128,128,131,131,130,129,127,127,129,129,127,126,127,128,127,126,126,127,128,128,128,128,130,132,132,133,135,136,135,133,133,135,135,134,132,130,129,128,126,124,121,118,115,114,114,113,113,116,120,121,123,126,127,129,128,128,128,128,127,126,126,127,129,131,133,133,132,130,129,130,131,133,134,135,135,135,136,136,136,137,136,135,133,133,132,131,131,131,132,132,130,127,126,128,131,133,135,135,135,134,132,127,122,120,123,125,126,127,128,128,129,131,133,133,132,129,127,128,128,128,129,130,132,133,135,137,137,136,134,134,134,136,136,134,133,134,133,132,131,130,132,134,131,125,120,118,120,121,121,121,122,124,126,126,127,131,134,133,129,127,126,126,130,132,131,129,128,128,128,130,133,135,133,133,134,133,133,133,133,131,128,128,131,135,137,135,134,135,136,138,140,140,139,139,139,139,138,138,138,136,134,137,137,136,135,135,132,130,130,132,135,135,137,139,140,140,140,139,138,137,136,135,133,130,127,126,125,124,null],[100,101,102,99,95,94,93,91,90,91,94,97,101,104,104,103,104,104,103,101,101,101,102,101,97,95,95,95,95,99,103,105,104,102,103,103,103,102,102,102,101,100,101,103,102,101,100,101,102,103,103,102,101,102,100,98,94,90,87,86,85,83,83,82,83,84,85,87,91,94,97,96,96,97,98,99,99,98,98,96,95,94,94,94,95,95,94,94,95,98,98,96,94,93,92,92,92,93,93,94,96,98,98,98,98,97,98,101,101,100,100,101,101,102,104,105,105,106,106,106,105,105,106,105,102,99,96,94,93,92,93,92,91,91,91,92,94,95,95,94,92,91,91,92,94,96,95,92,91,94,98,101,100,98,97,97,99,101,102,102,99,97,97,98,99,100,100,102,102,103,103,105,107,108,108,107,105,104,103,103,104,106,107,107,105,103,101,102,104,106,108,110,111,112,114,117,116,113,113,113,114,114,113,113,113,112,111,112,113,112,110,108,104,103,103,104,104,105,102,98,96,95,96,100,102,103,102,102,103,105,107,108,108,106,105,105,105,105,105,106,108,110,111,112,111,109,107,106,106,105,104,102,101,101,102,103,105,107,106,104,100,98,98,99,101,104,107,109,112,115,117,119,120,123,125,127,127,127,129,132,134,134,131,130,130,131,132,133,133,132,129,127,125,125,128,132,134,133,131,130,130,131,131,130,132,133,133,133,134,136,137,135,135,136,137,136,134,133,132,130,128,126,126,123,119,115,113,114,115,113,114,117,121,122,124,128,130,130,129,129,129,127,125,126,129,132,133,133,134,134,133,132,131,132,134,135,135,136,138,138,138,138,138,136,134,133,132,133,133,131,131,131,130,127,126,129,132,134,134,134,134,134,133,132,129,125,121,121,122,124,125,124,125,126,129,131,131,129,127,127,128,129,131,132,133,134,135,135,137,137,135,135,134,133,135,136,135,134,133,133,133,133,132,132,133,130,125,122,122,122,122,120,119,121,124,126,126,126,129,133,134,132,130,130,130,131,130,129,130,130,130,131,132,134,134,133,133,134,134,134,135,136,135,131,129,130,133,136,136,136,137,137,138,141,142,140,140,140,140,139,139,140,137,137,139,140,137,136,135,133,131,131,133,136,137,137,137,138,139,139,138,137,137,136,134,134,132,129,128,128,126,null],[100,102,102,98,94,94,92,90,90,93,98,99,101,104,104,103,102,101,100,101,102,100,100,99,94,93,96,97,98,101,103,104,102,101,103,105,106,105,105,104,103,102,103,104,102,101,102,102,101,101,101,101,100,98,97,94,91,87,85,85,85,85,83,83,84,85,88,90,94,95,97,97,97,97,97,98,98,98,96,96,96,94,92,93,94,95,95,94,94,96,98,99,97,94,92,92,92,93,92,92,92,93,95,96,96,96,97,99,100,99,100,101,103,105,105,105,105,106,107,107,106,105,105,102,98,96,98,98,96,94,92,90,88,88,90,92,93,93,94,94,93,91,91,93,95,97,96,92,90,94,99,101,99,98,98,99,101,102,101,100,98,97,96,97,98,97,98,101,103,104,103,103,106,108,108,106,105,105,105,104,104,105,107,107,106,105,103,104,106,107,109,113,114,112,113,115,115,114,113,113,113,113,114,114,113,113,113,113,113,113,112,110,107,105,104,104,104,105,105,103,99,95,95,98,101,101,102,102,103,104,105,107,107,106,105,105,104,103,104,107,111,112,112,112,111,109,109,108,107,106,104,102,101,101,103,105,107,109,108,105,102,100,102,105,106,108,111,114,116,118,120,122,123,125,127,128,127,127,129,132,132,132,131,131,132,134,134,135,135,133,130,125,122,123,128,132,136,136,136,134,134,135,134,133,135,136,134,134,136,137,137,137,137,136,136,133,132,133,133,132,130,129,128,125,121,116,114,115,116,114,113,114,118,119,121,127,130,129,128,129,129,127,127,129,132,134,133,132,133,134,135,135,134,133,134,135,134,136,138,138,138,138,137,135,135,135,134,135,134,132,131,131,129,127,127,132,135,135,134,134,134,134,133,132,131,127,123,122,123,125,123,122,122,124,126,127,127,127,128,130,130,132,133,134,134,135,135,135,135,135,134,135,134,133,134,136,137,135,134,134,135,133,132,131,131,128,124,125,128,125,122,120,120,122,124,126,126,125,127,131,133,134,133,133,133,132,130,129,132,134,133,132,133,135,136,135,134,135,135,136,137,138,137,133,130,129,130,132,135,136,136,136,137,139,140,139,140,140,140,140,140,140,140,140,141,141,138,136,136,135,133,131,133,136,138,137,136,138,140,138,137,137,137,136,134,134,132,130,130,129,128,null],[102,102,101,97,93,92,91,91,92,98,103,102,101,104,105,103,101,98,97,100,102,99,97,97,94,94,98,100,101,103,102,100,97,97,100,103,104,104,104,104,104,104,105,104,101,101,102,102,101,99,99,99,97,95,93,90,88,86,85,84,83,83,83,84,86,88,92,99,98,98,99,99,98,97,96,97,98,97,94,95,95,96,94,92,92,92,94,95,93,92,95,99,100,96,93,92,94,95,95,93,92,91,93,93,94,95,97,97,98,98,100,101,103,104,104,104,105,106,108,108,107,106,104,100,96,95,99,101,97,93,90,87,86,87,89,92,93,93,94,95,95,92,93,96,97,97,95,92,92,95,99,101,100,98,98,100,102,101,99,97,98,98,98,99,98,97,98,100,104,104,103,103,105,108,108,106,105,106,106,105,105,105,106,107,107,106,104,105,108,108,110,114,115,114,113,113,115,115,114,113,113,113,114,115,113,112,113,114,115,115,113,111,110,108,106,105,105,105,105,105,102,98,97,98,99,100,102,103,103,104,104,105,106,107,106,104,103,103,104,108,112,113,112,111,110,110,110,110,109,107,105,103,102,103,104,106,108,110,110,107,105,106,110,113,115,116,118,120,120,119,120,121,122,124,126,127,128,129,130,130,131,130,129,130,132,135,136,135,133,131,128,124,123,125,127,129,132,134,134,134,135,136,136,136,136,136,135,135,137,136,137,137,136,135,134,132,130,130,131,132,132,132,131,128,124,120,117,116,116,116,114,113,114,116,119,124,126,126,127,129,128,128,129,131,132,132,132,132,132,133,134,134,134,134,134,134,134,135,136,136,136,136,135,135,136,136,137,136,134,132,132,132,129,128,130,133,135,135,135,135,134,134,133,132,130,127,125,127,129,127,125,124,123,122,123,123,125,128,131,133,133,134,133,133,134,135,135,135,134,133,133,134,134,134,134,135,137,137,135,135,134,132,130,130,128,125,124,128,131,127,122,120,121,123,125,125,125,125,127,130,131,132,134,134,133,132,132,132,135,137,135,133,133,136,139,138,136,137,137,139,139,138,136,135,134,131,128,128,131,135,136,135,135,136,136,137,139,140,140,140,141,141,142,142,140,138,137,137,136,134,132,131,132,134,136,137,138,140,140,138,137,137,135,135,134,133,131,128,128,129,129,null],[103,101,99,96,93,92,90,91,96,101,104,103,102,102,104,104,102,98,95,98,100,97,94,94,94,97,100,101,98,98,97,96,95,94,95,97,98,101,102,102,102,102,103,101,100,100,101,100,98,97,96,94,93,91,88,87,85,85,84,84,83,83,84,86,90,97,98,98,97,96,97,96,96,95,94,95,96,95,95,95,96,98,98,95,93,93,93,94,93,91,93,97,98,97,95,94,96,99,99,97,95,94,94,95,95,96,98,98,99,100,101,102,104,104,103,103,104,105,107,109,110,108,103,97,94,97,100,102,100,95,91,87,87,89,90,91,93,95,96,97,96,94,94,97,98,98,96,93,93,96,98,100,100,100,100,101,101,101,101,99,99,100,100,99,98,98,99,101,103,103,103,103,105,108,108,107,106,107,108,108,107,106,107,108,108,107,107,109,110,110,111,113,115,115,113,112,115,116,115,113,113,113,114,113,112,111,112,115,116,115,113,111,112,110,108,108,109,108,107,105,103,102,101,101,101,102,103,104,105,105,105,105,106,107,105,103,104,105,106,108,111,111,112,112,111,111,111,110,109,108,106,105,105,106,107,109,111,112,112,111,111,114,118,121,123,124,124,124,122,120,120,122,124,126,127,128,130,131,130,129,130,129,128,129,132,134,135,134,132,127,123,123,127,130,130,129,130,131,131,132,134,136,137,138,139,137,135,134,134,136,137,136,135,134,134,132,130,128,128,130,132,133,133,131,128,124,120,116,115,116,116,114,112,114,117,120,122,125,129,130,130,130,131,132,131,130,132,133,133,134,135,133,132,133,134,135,135,134,135,135,135,134,134,136,137,137,136,135,134,134,134,132,129,129,133,135,134,134,134,134,134,134,132,131,129,126,125,129,131,130,128,127,127,125,122,122,125,128,132,133,133,132,132,133,134,135,136,135,133,132,132,132,133,135,135,134,135,135,135,135,133,132,132,132,130,127,124,128,131,127,122,120,121,123,125,125,123,123,126,129,132,133,134,134,135,134,135,136,139,140,138,135,135,138,141,140,139,139,139,140,138,136,136,137,139,135,130,127,130,134,138,137,136,137,137,138,139,139,139,139,141,142,141,139,138,137,138,138,136,131,131,132,133,133,135,138,141,142,140,138,137,137,136,135,134,132,128,126,127,129,130,null],[103,100,98,95,94,93,92,93,99,103,104,105,104,101,103,105,102,98,94,95,95,93,90,90,93,97,100,98,93,92,93,94,94,93,92,93,95,97,99,99,99,100,99,98,98,98,98,96,94,93,90,88,87,87,85,85,84,85,83,83,83,84,86,89,93,100,99,97,95,94,93,92,92,92,93,95,96,96,97,97,98,100,99,97,96,95,94,93,92,92,93,95,96,97,97,96,97,99,101,100,99,97,96,96,96,96,97,98,100,103,103,104,106,105,104,104,104,104,105,106,108,107,102,97,96,99,102,103,102,97,92,90,91,92,91,91,93,96,97,98,98,97,97,98,99,98,96,95,96,99,100,100,101,103,103,101,101,102,103,103,102,101,100,97,96,97,99,100,101,102,103,104,106,108,109,107,107,107,108,109,109,108,108,110,110,110,111,112,113,113,113,113,115,115,113,113,115,116,114,113,113,113,113,113,112,112,114,115,116,114,112,111,113,112,110,111,113,113,110,107,105,104,105,105,105,104,105,106,107,107,107,107,107,106,106,106,107,108,108,107,108,110,112,113,113,112,111,110,109,108,108,109,110,111,112,115,117,117,116,115,116,118,121,125,127,128,128,126,124,123,123,125,128,129,129,129,130,131,129,128,129,128,127,129,132,133,133,133,130,123,119,124,131,135,135,134,132,131,131,132,133,135,137,139,139,138,135,133,132,135,137,136,135,133,134,133,131,128,126,128,132,134,133,132,130,127,121,116,113,115,118,116,112,112,114,116,119,125,129,131,131,131,131,131,130,129,130,132,132,133,134,132,130,132,135,135,134,133,133,135,135,135,135,136,136,135,134,135,135,135,133,132,129,131,134,135,133,133,133,132,134,134,132,130,127,124,125,129,132,132,130,130,130,128,124,123,125,127,129,131,131,131,132,134,135,135,135,135,134,132,131,130,133,135,135,133,132,133,134,134,132,132,133,134,132,128,125,128,130,126,122,122,122,123,124,124,123,122,124,128,131,132,133,135,137,137,138,139,140,141,140,137,136,139,141,139,139,141,141,139,136,134,137,141,142,140,133,128,130,135,140,140,139,139,139,140,139,138,138,139,140,141,139,138,137,137,137,139,137,131,130,133,135,134,134,138,140,141,139,137,137,137,135,134,134,132,129,128,128,130,132,null],[103,101,98,95,95,95,96,97,100,103,105,107,105,102,101,103,100,96,92,91,90,90,88,88,91,94,95,92,89,90,92,94,93,92,93,94,93,94,95,96,96,96,95,95,96,96,95,93,91,88,85,84,85,85,85,84,85,83,82,83,85,87,90,98,100,101,99,98,96,94,93,92,92,92,93,96,98,98,98,98,98,99,99,98,99,98,96,94,94,95,95,95,95,95,96,96,96,98,99,100,100,99,97,95,95,94,95,97,100,103,105,105,107,107,106,105,105,104,103,102,102,103,103,101,101,103,103,102,100,96,93,92,92,92,92,91,92,93,95,97,98,99,100,100,99,98,99,100,102,105,104,104,105,105,104,103,102,103,105,106,106,104,101,97,95,97,98,98,99,100,102,104,106,109,109,108,108,108,107,108,109,109,108,110,114,115,114,113,114,115,115,114,114,113,113,114,115,114,112,112,113,114,113,113,113,115,116,116,115,114,113,113,114,114,112,112,114,116,115,112,109,108,108,108,108,107,108,109,109,109,109,109,108,108,108,110,112,112,110,109,108,110,112,114,114,114,112,110,110,111,113,114,115,116,118,121,125,124,121,118,118,120,121,123,127,129,130,129,128,127,128,129,131,132,131,130,130,130,128,127,128,127,125,128,132,132,132,131,125,120,120,126,132,135,137,137,136,134,134,133,134,135,137,137,137,137,137,134,132,134,136,136,134,133,133,133,132,129,127,130,133,134,132,129,128,127,122,116,113,115,118,117,113,111,111,112,116,122,125,127,130,130,130,130,129,126,126,127,127,129,132,132,132,134,134,132,130,130,132,135,137,137,136,135,133,132,134,136,137,134,131,130,129,131,134,135,134,133,132,133,134,134,132,129,126,124,126,130,132,131,129,130,131,130,127,125,124,125,127,129,130,131,133,135,135,134,133,133,134,132,130,130,132,135,135,133,132,132,133,133,132,132,133,133,131,128,126,130,132,127,124,124,124,123,123,123,123,122,123,126,129,130,132,135,138,139,138,138,139,141,140,137,136,138,139,139,140,142,141,138,136,137,139,141,142,140,133,127,130,136,140,140,139,142,141,140,139,139,140,140,140,139,138,139,138,138,136,138,138,134,131,133,135,136,135,136,137,137,138,139,138,137,134,133,134,134,133,131,130,131,134,null],[101,101,99,96,96,99,99,97,98,101,104,107,107,105,102,99,97,95,92,90,90,91,92,90,91,92,93,90,87,88,91,92,93,93,94,94,93,93,94,94,94,94,92,93,94,96,95,93,91,87,84,83,85,86,85,85,85,83,84,85,89,92,98,102,103,101,98,97,98,98,97,96,95,93,93,95,97,98,98,98,98,98,98,99,98,97,96,95,96,98,98,97,95,94,93,94,95,96,97,99,101,100,99,97,97,96,96,97,99,102,104,105,106,104,103,104,104,103,101,99,99,102,104,103,103,104,102,98,94,92,91,92,93,93,92,92,91,93,96,98,98,98,99,101,100,100,103,104,106,106,107,108,108,107,106,106,106,105,107,109,107,104,102,99,97,97,97,96,97,101,103,104,106,109,110,109,108,108,107,107,108,108,110,112,116,117,116,114,114,115,116,115,114,114,114,114,113,112,111,113,114,114,114,113,115,116,116,116,115,114,113,114,115,115,114,114,116,117,117,115,112,110,110,111,111,111,111,110,110,111,111,111,110,109,111,113,114,113,111,109,108,109,111,113,114,114,113,112,114,117,120,121,122,122,124,127,129,129,125,122,122,124,124,123,124,127,129,130,129,128,129,131,132,132,131,131,131,130,129,127,127,125,124,127,132,132,130,125,120,119,123,127,130,133,135,136,137,137,136,136,137,137,136,136,136,137,138,134,131,132,134,134,134,132,131,132,132,128,126,129,133,133,128,124,122,123,121,116,114,115,117,116,113,111,111,111,114,117,120,122,125,127,127,128,127,124,123,123,125,127,130,133,134,134,130,128,129,132,133,136,136,136,134,133,132,133,135,137,135,132,130,130,130,131,134,135,135,135,134,135,134,133,131,128,125,123,126,130,132,131,129,130,132,130,128,128,127,125,126,127,128,130,132,134,134,133,132,133,134,133,130,131,133,133,133,133,133,133,133,132,131,132,133,132,131,129,128,130,132,130,130,129,125,122,122,122,122,123,124,125,126,128,131,134,136,138,139,138,139,141,139,137,137,138,139,140,141,142,141,139,139,139,139,139,139,136,131,127,129,134,139,140,140,141,140,139,139,140,141,141,140,138,139,140,139,137,136,138,140,136,132,131,135,138,136,135,134,134,137,140,139,136,134,134,135,135,133,130,129,130,135,null],[98,100,100,97,97,102,100,95,96,99,102,105,105,105,101,95,93,93,94,93,93,97,98,95,93,94,94,91,88,87,88,90,92,95,95,94,93,94,95,94,94,93,91,92,95,96,96,94,91,88,85,85,86,85,85,87,89,85,86,88,93,96,100,103,103,100,97,96,98,101,100,101,99,95,93,93,94,95,97,99,99,99,99,99,97,95,95,96,98,100,99,98,97,95,94,94,94,95,97,100,101,100,101,100,99,98,97,97,98,100,102,104,104,102,101,102,102,102,100,99,101,104,105,103,103,103,100,94,90,88,88,90,92,93,93,93,93,94,96,98,97,95,96,99,101,104,106,106,105,104,105,108,108,107,106,106,107,107,108,110,108,104,102,101,100,99,96,94,97,103,105,105,106,108,110,109,108,107,107,108,108,109,111,113,115,116,116,114,114,115,115,114,114,115,114,114,113,112,113,114,114,114,113,113,114,115,114,115,115,114,113,114,115,115,115,116,117,117,116,115,113,112,112,112,112,113,112,110,111,113,114,113,111,111,113,114,114,113,111,110,108,109,110,111,113,115,118,118,120,123,126,126,126,127,127,129,130,130,127,125,126,130,129,125,123,124,127,129,129,128,129,130,132,132,131,131,132,131,129,126,124,121,121,124,128,130,127,121,119,122,126,128,130,132,133,134,136,137,137,138,138,138,137,135,136,137,137,134,130,130,133,134,133,131,131,132,132,128,125,126,129,129,124,120,120,122,122,119,118,118,117,114,112,112,113,113,112,114,115,117,120,122,123,125,124,123,122,123,126,128,131,134,134,130,126,125,130,135,134,134,133,133,132,131,133,134,136,135,133,131,130,131,131,132,134,136,137,137,137,136,134,132,129,127,125,123,125,129,132,132,131,131,133,131,129,130,129,128,125,125,126,128,130,132,133,133,132,132,133,132,130,132,133,132,132,133,134,134,133,132,131,132,133,133,133,131,130,129,131,133,134,132,127,123,123,123,122,124,125,124,124,126,129,132,135,137,138,138,140,141,138,137,138,139,141,142,142,142,141,141,142,141,138,137,135,131,130,130,129,132,136,139,140,139,138,139,140,140,141,140,140,139,139,140,140,137,135,137,139,136,132,130,134,137,137,135,134,133,136,139,139,137,136,136,136,135,132,128,127,130,135,null],[99,99,99,98,99,103,100,95,96,98,100,101,101,100,97,92,89,91,97,99,98,100,100,99,97,96,95,93,90,89,88,89,92,96,96,95,94,95,95,94,95,94,93,93,95,96,95,92,89,87,87,86,85,84,85,86,88,89,93,95,96,97,100,102,103,100,97,96,99,100,100,101,101,99,97,95,93,95,98,100,100,101,100,99,97,97,97,97,97,98,98,97,99,100,99,98,96,97,98,98,98,97,99,98,96,96,96,96,97,99,102,104,105,104,103,103,102,100,100,102,103,104,104,103,102,101,96,91,89,88,87,89,91,91,91,92,93,94,95,96,96,95,95,98,102,106,107,105,104,104,105,105,105,105,105,104,104,105,108,109,107,104,102,101,101,100,96,95,98,104,105,105,105,105,106,106,107,107,107,108,108,108,110,111,113,116,116,115,115,115,115,114,114,115,115,113,112,112,113,114,114,114,113,112,114,114,113,113,114,114,113,112,113,113,113,114,116,116,115,114,113,112,112,112,112,113,112,110,111,114,114,113,113,114,115,115,115,114,113,110,109,109,110,110,113,118,123,125,125,127,128,127,127,128,128,129,130,130,128,127,128,131,131,128,126,125,126,129,131,130,130,130,131,132,132,132,132,130,126,122,119,117,118,120,122,122,122,122,125,128,131,132,133,133,134,135,137,136,136,137,138,138,137,135,136,138,136,132,129,131,133,134,134,133,131,131,129,127,125,125,125,124,122,122,124,124,124,124,124,124,120,115,113,114,115,115,113,112,113,116,119,120,120,119,118,120,122,124,127,131,133,133,129,126,125,128,132,132,130,130,131,132,132,133,134,133,134,133,132,131,131,132,132,133,134,136,137,138,137,136,133,130,128,128,126,124,125,129,132,133,133,132,132,131,130,129,130,130,125,123,126,128,128,130,132,133,132,131,131,129,128,130,132,132,133,134,134,134,134,134,133,132,133,135,137,135,132,130,131,132,133,133,130,128,126,125,123,123,123,123,123,125,131,134,136,136,136,137,139,141,139,137,137,139,141,143,143,143,142,142,143,142,139,136,132,129,132,136,134,133,133,136,138,137,138,139,140,140,139,139,140,139,139,139,140,138,134,133,135,134,133,132,133,135,136,136,134,133,135,138,139,138,138,137,135,134,132,129,129,132,135,null],[101,101,100,100,102,102,99,96,96,99,101,99,97,94,92,89,87,92,100,104,102,100,100,102,101,101,99,97,94,92,90,90,91,93,95,96,94,94,94,94,95,96,95,93,93,94,92,89,87,87,86,86,86,87,89,88,90,92,97,98,97,97,99,101,101,99,97,96,99,100,98,99,100,100,99,97,96,97,99,99,100,101,101,98,96,97,98,98,97,96,96,97,99,100,101,98,95,96,96,95,95,95,96,96,95,94,94,94,96,98,101,104,106,106,106,105,102,100,101,103,103,102,102,102,101,98,93,90,89,88,87,88,90,90,91,91,92,93,94,95,96,96,95,97,103,107,107,105,104,106,105,103,103,103,102,102,102,105,108,109,107,105,102,101,101,99,97,96,98,102,104,104,104,102,102,104,106,107,107,107,108,107,107,108,111,114,116,116,116,116,115,114,114,114,114,113,112,113,114,114,114,113,113,113,113,114,113,113,114,114,113,111,112,112,112,113,115,115,115,114,113,113,112,111,112,113,111,110,112,114,114,114,115,115,115,115,115,114,113,111,110,110,111,111,112,116,122,125,125,125,125,125,126,127,126,126,127,128,127,127,129,130,131,131,131,130,129,130,130,128,128,128,130,131,133,131,129,127,123,119,117,116,116,117,116,117,120,125,131,134,134,134,135,136,137,137,137,136,136,136,136,136,136,135,136,135,133,129,129,132,134,134,135,135,133,130,128,128,129,127,125,123,124,126,128,127,127,130,131,129,122,116,113,114,116,116,115,113,113,114,117,118,116,114,114,117,121,125,128,131,132,130,126,125,128,132,132,129,128,129,132,133,134,134,133,132,132,132,132,131,131,132,134,135,135,136,137,137,136,135,132,129,129,130,129,126,126,129,132,134,134,133,132,132,132,129,130,130,126,124,126,127,127,128,130,131,130,129,128,127,129,130,132,133,134,133,133,133,133,134,134,134,135,136,138,136,132,131,131,131,133,135,135,134,130,126,123,121,122,123,122,124,130,134,137,136,135,136,139,141,141,138,135,136,140,142,144,143,142,142,142,142,140,137,133,132,136,139,138,134,131,132,134,135,137,138,139,140,140,140,140,140,139,139,140,138,134,131,133,134,135,134,133,134,136,137,136,135,135,137,138,138,140,138,135,135,133,131,130,133,135,null],[102,103,102,103,103,101,98,97,96,98,100,97,94,91,88,86,88,95,102,105,103,100,100,103,104,104,105,102,98,95,93,91,88,88,91,95,95,95,94,95,94,94,93,93,92,91,90,89,89,88,88,88,90,94,97,97,96,98,99,98,98,98,98,98,98,97,96,97,99,99,99,98,98,98,98,98,99,99,98,98,98,98,98,97,96,96,97,97,97,97,96,95,96,96,95,93,92,92,93,95,96,97,98,98,97,96,96,96,96,98,101,104,106,105,104,104,102,100,101,102,102,102,101,102,99,95,91,89,87,87,87,87,88,91,93,93,93,93,95,96,96,96,95,97,103,106,106,106,106,107,105,102,103,103,100,101,104,107,108,108,108,106,103,102,101,99,97,96,97,99,102,103,102,101,102,105,107,107,108,108,107,104,102,105,109,113,115,116,116,116,115,114,114,113,113,112,112,113,114,114,112,112,113,114,114,114,114,114,114,115,113,112,112,113,113,113,114,115,115,114,113,113,112,113,114,113,112,111,112,114,115,115,115,115,114,115,115,115,114,112,112,113,115,115,111,110,114,119,120,120,120,123,125,124,123,123,125,126,126,128,129,131,133,134,133,133,132,131,128,125,125,127,129,131,131,129,126,123,119,118,119,120,118,117,116,117,120,125,131,134,134,133,133,135,137,137,135,134,135,135,135,135,135,135,133,131,129,129,131,133,134,135,136,136,133,130,129,132,134,132,128,126,128,130,129,128,130,134,136,132,124,117,113,114,116,117,116,115,113,113,114,115,114,112,112,114,118,122,125,127,128,126,125,127,131,132,129,127,128,132,134,134,133,132,132,133,134,133,132,131,131,132,134,135,135,136,137,136,135,134,131,129,131,132,131,128,127,129,133,135,134,133,133,133,133,130,130,130,129,128,126,125,125,126,127,127,126,126,127,128,130,132,133,134,134,133,132,132,132,132,134,136,136,135,136,134,130,131,133,133,134,137,139,138,133,128,124,122,122,123,122,123,126,130,135,137,137,139,140,140,140,137,133,133,136,141,143,142,142,142,141,140,138,135,136,138,140,140,139,136,133,130,130,134,136,137,138,140,142,141,141,141,141,140,139,137,135,134,135,137,138,137,134,133,135,136,137,137,137,138,137,138,139,138,136,136,134,131,129,131,134,null],[102,103,104,105,104,100,99,98,96,96,96,94,91,89,85,84,89,96,100,100,98,98,99,102,103,104,106,104,101,97,95,93,89,88,90,96,100,98,95,96,94,92,93,95,96,93,91,92,94,94,93,93,97,100,100,99,98,99,98,98,98,99,98,98,98,96,96,97,97,97,97,96,96,97,97,98,98,97,97,97,96,95,95,96,96,97,98,98,97,97,96,95,95,93,92,92,92,93,94,97,98,99,99,99,100,99,98,98,98,99,102,104,105,104,103,103,101,98,99,101,102,102,100,99,96,92,90,89,88,88,88,87,88,93,95,94,94,95,97,96,95,95,96,99,103,104,105,106,107,107,105,103,104,104,102,102,105,106,107,107,107,106,104,103,102,100,98,97,97,98,100,101,101,100,102,104,106,107,108,108,105,102,100,102,107,112,114,114,115,116,116,115,114,114,114,113,113,113,114,114,112,110,112,114,114,114,114,114,114,114,113,113,114,115,114,114,115,116,116,115,114,113,113,114,114,115,114,114,114,114,115,115,115,115,116,116,118,119,117,116,117,119,119,117,112,109,111,114,116,116,118,121,122,122,122,125,127,127,127,129,131,132,132,130,129,129,130,128,127,126,127,129,131,131,129,125,121,118,117,118,121,123,122,119,118,118,120,122,126,130,132,130,128,129,131,132,131,131,133,133,133,134,134,132,130,128,128,131,133,134,135,135,136,134,131,130,132,135,136,133,129,127,130,132,132,132,133,135,135,133,126,120,117,116,117,117,118,118,117,115,114,114,114,114,113,113,114,117,121,123,123,123,125,129,133,132,129,127,127,129,131,131,131,130,132,134,135,134,132,131,130,130,133,136,135,135,136,135,133,131,130,131,133,133,131,130,128,128,131,134,133,132,132,132,132,131,130,131,134,134,129,127,126,126,126,126,126,127,128,131,133,133,133,134,135,134,132,132,133,134,134,135,136,136,135,133,132,133,136,135,135,138,139,139,136,130,125,123,123,124,124,122,124,128,135,139,140,141,140,138,137,135,133,133,134,138,141,140,140,140,140,138,136,135,138,141,141,139,139,138,137,133,132,135,138,139,140,140,142,141,141,141,142,142,140,138,138,140,141,140,140,138,135,134,134,135,136,137,138,139,139,139,139,137,136,137,136,131,129,130,133,null],[101,101,103,104,104,101,100,99,95,92,90,89,88,88,87,86,89,93,95,95,94,96,99,102,102,102,104,104,103,99,97,96,94,92,91,96,100,100,97,97,95,94,95,99,102,98,94,96,98,99,98,97,100,101,99,98,98,98,97,97,98,99,98,99,99,97,96,96,96,95,95,95,95,95,96,96,95,95,96,97,96,93,92,94,96,98,99,98,97,98,96,95,94,94,94,94,95,96,97,99,99,99,100,101,101,101,100,100,101,102,103,105,105,104,103,103,101,98,98,100,102,102,100,97,94,90,89,90,89,89,88,88,89,93,95,95,94,96,97,96,95,95,97,100,101,102,104,105,106,106,104,104,105,105,104,105,106,105,106,107,107,106,105,105,104,103,101,100,100,100,100,100,101,102,103,103,103,105,108,107,103,101,101,103,107,111,113,114,114,115,116,115,114,115,116,116,114,113,113,114,113,111,111,113,113,113,113,114,114,114,113,114,115,115,115,115,116,117,115,114,113,113,114,114,114,115,116,117,116,116,116,116,117,119,119,120,123,125,123,120,120,124,124,120,116,114,112,113,114,114,116,119,119,120,123,127,129,130,130,131,130,129,128,126,124,124,126,127,129,130,131,131,131,129,125,120,116,116,118,121,122,124,124,122,120,118,118,118,121,125,127,126,124,125,126,128,130,131,133,133,132,133,131,129,126,127,129,132,134,135,135,135,135,134,131,130,133,135,135,132,129,128,130,132,133,134,133,131,131,131,127,122,119,119,119,118,119,120,120,119,118,116,115,114,113,111,111,114,117,119,120,122,126,132,133,131,128,126,126,127,128,129,131,133,133,134,135,134,133,132,130,130,133,135,135,135,135,134,132,129,132,134,132,132,131,131,129,127,129,133,133,132,132,131,131,131,131,132,135,136,133,130,128,128,127,128,128,128,130,132,133,133,133,133,134,133,132,132,134,134,133,133,136,138,136,133,134,137,139,136,135,137,138,138,136,129,124,124,125,126,124,122,123,128,136,140,140,138,136,135,133,133,134,135,135,136,138,139,139,139,139,137,135,136,139,141,141,141,141,140,139,136,135,137,140,141,141,140,140,140,140,141,143,143,143,141,141,143,144,142,141,139,137,135,134,135,136,137,137,138,139,140,139,137,136,138,137,132,128,130,134,null],[99,99,101,102,102,100,99,97,93,89,86,87,90,91,91,90,88,89,92,93,95,96,98,101,101,101,102,103,103,102,101,101,100,97,93,92,93,97,99,98,96,96,97,101,105,102,97,96,99,100,99,98,99,99,97,97,98,98,97,96,98,99,99,100,100,98,96,95,95,93,92,92,93,93,93,94,93,95,98,97,95,92,91,93,95,96,97,97,97,98,96,94,93,94,95,96,97,97,97,97,97,98,100,102,102,101,100,99,101,102,103,104,105,105,104,103,101,98,97,99,101,101,99,96,93,91,90,89,88,88,89,90,91,93,94,94,93,93,95,95,95,94,96,99,99,101,104,105,103,103,103,105,106,105,104,106,106,106,106,107,106,105,105,106,106,105,103,103,104,103,99,99,102,104,103,102,101,103,107,106,102,101,103,107,110,113,114,115,115,116,116,115,115,115,116,116,115,115,114,114,114,113,113,112,111,112,114,115,116,115,115,115,115,115,115,115,116,115,114,114,114,115,114,114,113,114,117,120,120,120,120,120,121,124,126,125,127,129,126,121,121,126,128,126,122,119,116,114,114,114,114,115,116,119,123,126,127,129,131,130,126,122,123,124,125,125,126,129,132,133,133,130,126,123,119,116,115,119,124,127,126,124,123,123,122,118,117,119,121,122,122,122,123,126,127,129,131,134,135,133,131,131,129,126,125,127,130,132,133,135,135,134,135,135,134,132,132,133,133,132,131,131,131,131,132,132,130,127,126,127,126,122,118,119,122,121,119,120,121,123,122,120,117,115,112,110,112,114,115,115,118,122,128,132,130,126,126,127,127,129,131,132,135,137,136,136,135,134,134,134,133,132,133,135,135,135,133,131,131,133,136,136,132,131,132,131,129,126,129,133,135,134,133,132,132,132,131,132,135,135,133,133,132,130,129,129,129,128,129,130,131,133,134,132,132,131,131,132,133,132,131,132,137,140,137,135,136,140,141,137,136,138,139,137,133,125,122,125,128,127,124,122,123,127,133,137,137,132,130,129,132,134,135,135,136,137,139,140,139,138,140,138,137,138,139,140,141,142,143,141,138,136,136,137,139,140,139,138,138,139,140,141,142,144,145,143,140,140,143,142,143,142,139,135,133,135,136,137,137,137,138,139,140,138,137,139,138,131,128,131,134,null],[97,97,99,100,100,101,98,94,91,90,91,92,94,96,96,94,90,89,90,93,94,95,97,100,102,102,100,101,101,102,104,104,103,101,97,92,91,94,98,99,98,98,98,101,104,102,98,97,98,99,98,97,98,98,97,97,97,98,98,97,97,98,99,100,99,96,95,95,95,93,90,91,90,91,92,94,96,98,96,95,93,93,92,92,92,93,94,95,96,96,95,93,93,93,94,95,96,96,95,95,96,97,99,101,102,101,99,97,97,99,101,103,103,103,103,102,101,98,97,97,98,97,96,94,93,91,90,89,88,88,89,91,92,92,93,92,91,91,92,94,95,94,93,95,97,100,103,103,101,103,105,107,107,106,104,105,106,107,107,107,106,106,107,108,108,106,103,104,105,102,98,99,102,104,102,101,101,104,108,106,101,100,105,110,114,115,115,115,116,117,117,116,115,115,116,116,115,115,115,114,114,115,114,112,111,112,115,116,116,116,115,115,115,116,115,115,115,115,115,115,115,115,114,113,113,115,119,123,125,126,126,124,123,126,128,127,128,128,125,121,121,124,127,127,125,123,119,118,120,119,115,111,112,117,120,122,125,129,130,128,123,121,125,129,129,129,129,131,131,129,127,124,120,117,116,115,117,122,128,131,130,126,124,125,124,119,118,120,124,124,122,122,124,126,127,128,129,130,130,129,128,129,129,126,126,128,130,130,130,132,133,133,134,136,135,134,133,132,132,133,134,134,133,131,130,129,128,126,126,126,123,119,118,121,124,126,122,120,121,125,125,123,120,117,113,111,113,115,114,114,117,121,125,126,125,124,128,130,131,132,134,135,137,139,138,137,135,134,133,134,134,134,134,134,135,134,132,131,132,135,137,136,132,132,134,131,128,128,130,134,137,135,133,133,133,133,132,133,134,134,134,133,132,130,130,131,129,128,129,130,130,133,134,131,129,129,131,133,134,132,132,134,138,140,138,137,137,140,141,138,137,137,138,135,128,122,123,128,132,129,125,123,124,126,129,131,131,129,128,131,136,137,136,135,137,138,139,140,139,139,140,140,139,140,141,140,140,141,141,139,136,136,137,137,137,137,136,136,137,139,141,142,142,144,146,143,138,137,139,141,142,143,139,135,132,133,136,137,137,136,138,139,139,139,140,140,137,132,130,132,133,null],[95,97,98,99,99,99,95,91,92,95,97,99,99,99,99,97,95,93,92,93,94,95,96,99,102,102,99,98,100,101,103,104,104,103,100,98,96,94,94,98,99,99,99,100,101,100,99,98,98,97,97,97,99,99,98,98,97,98,98,98,98,98,98,99,98,95,94,94,94,93,90,90,89,89,90,91,92,93,94,92,92,93,94,93,93,92,94,95,94,93,93,93,93,93,93,94,95,94,95,96,96,96,97,99,102,100,97,94,94,96,99,100,100,99,99,101,100,98,96,95,94,93,92,93,93,92,90,89,89,89,90,92,93,92,91,91,91,91,91,93,95,94,93,95,98,101,102,101,101,105,108,109,109,108,105,105,106,107,107,108,108,108,108,108,107,105,104,103,103,101,99,99,102,102,101,101,103,106,109,107,101,100,105,112,116,116,116,116,117,117,118,116,115,115,115,114,114,115,115,115,115,115,114,112,111,112,115,115,116,116,115,115,116,117,116,115,115,116,117,116,116,115,114,114,116,119,124,127,130,132,131,127,123,125,127,128,127,124,122,123,124,123,123,124,125,125,122,123,126,127,121,112,110,114,116,118,122,126,126,123,121,123,128,131,131,129,128,129,126,122,119,118,116,116,116,117,119,123,128,132,131,129,126,126,125,121,119,121,126,128,128,127,126,125,124,124,124,125,125,124,124,128,130,130,129,129,131,129,127,128,130,132,133,134,135,135,135,133,133,134,136,135,134,132,131,130,129,128,129,127,122,119,120,124,127,130,127,122,121,124,125,124,123,122,118,113,113,115,115,116,117,119,121,121,122,125,131,134,134,134,134,136,136,137,137,137,135,134,133,134,134,135,135,135,134,133,133,133,134,136,136,135,134,135,136,132,128,129,132,135,136,135,132,133,134,132,132,134,134,134,134,132,130,129,131,132,129,128,130,131,132,134,133,131,130,131,133,134,134,134,134,137,139,139,138,138,138,139,140,140,138,136,136,132,125,124,127,133,134,130,127,125,124,124,126,125,126,128,132,137,140,140,138,137,136,137,139,139,139,139,139,140,141,142,142,140,139,138,138,137,137,138,138,139,138,137,135,135,138,141,142,143,143,144,144,142,138,137,138,139,140,140,138,134,130,131,134,137,138,138,138,139,139,140,141,140,136,132,132,134,135,null],[96,99,102,101,97,93,89,89,94,98,101,102,102,101,100,99,98,96,96,96,98,99,98,97,99,100,98,98,100,102,102,102,102,103,103,102,100,95,93,97,100,100,99,98,98,99,100,100,98,96,96,98,100,101,100,99,98,98,98,98,99,99,98,99,98,95,93,93,93,93,90,90,89,89,90,90,90,90,92,92,93,95,97,96,95,95,97,97,96,93,93,93,94,95,95,96,96,96,96,96,94,94,96,99,100,98,94,93,93,96,98,99,98,97,99,101,101,98,95,93,93,92,90,91,92,92,90,89,90,91,93,96,96,94,93,93,92,91,91,93,96,97,98,100,102,104,104,102,102,104,108,110,110,109,108,107,106,107,109,111,110,107,106,104,103,103,103,104,103,103,102,101,100,99,99,102,105,108,109,106,102,102,106,113,116,116,116,117,117,117,117,117,116,114,113,112,113,114,115,115,115,115,114,113,112,112,114,114,114,114,115,115,116,117,116,115,115,116,117,118,118,118,117,119,122,126,128,130,131,132,132,127,123,124,128,129,126,123,122,126,129,127,124,124,126,127,124,124,127,130,125,116,111,112,113,116,119,122,121,119,118,120,124,126,126,124,123,124,122,118,116,116,116,117,118,119,120,123,128,132,132,129,127,127,126,123,120,121,124,129,132,132,130,126,123,123,125,127,127,126,126,127,129,130,132,132,132,131,129,129,129,130,133,134,135,135,135,133,133,136,137,136,133,132,132,132,131,131,131,129,122,120,123,126,128,132,131,127,122,121,123,124,124,124,121,116,113,113,116,118,119,119,120,123,123,125,130,134,134,133,132,134,134,134,135,136,136,136,135,134,133,133,135,136,134,134,135,136,137,136,135,133,135,137,136,131,129,131,134,136,136,134,133,133,132,131,132,134,134,134,134,131,130,131,132,131,129,127,129,132,133,135,133,133,133,135,136,134,133,133,136,139,140,139,138,138,139,140,140,139,139,137,134,129,125,126,132,136,135,131,127,125,125,125,124,121,122,128,136,140,140,141,140,138,135,136,138,139,140,138,135,135,139,140,140,139,137,136,136,137,138,139,140,141,141,141,139,137,137,140,142,143,143,142,142,141,140,140,140,141,140,138,135,132,131,130,134,138,141,140,139,139,140,141,140,138,135,132,134,137,138,null],[97,100,101,99,93,88,87,91,96,100,101,102,102,101,100,98,99,99,99,99,101,101,98,93,94,97,98,99,100,101,101,101,101,102,102,103,101,97,94,95,99,100,99,97,98,99,101,100,98,96,97,99,100,101,100,99,98,98,97,97,98,98,97,98,98,95,92,91,92,92,89,89,90,90,90,89,89,90,91,92,92,94,96,96,97,97,98,98,96,94,94,94,95,97,97,98,97,97,96,95,92,93,95,97,97,95,94,95,96,98,100,100,99,99,100,103,102,97,94,92,91,91,91,92,92,90,90,91,91,92,95,100,101,99,97,96,94,93,93,95,98,102,103,104,106,107,107,106,104,104,107,109,110,110,110,109,107,108,111,113,111,106,103,100,100,101,104,105,104,104,104,102,99,97,99,104,108,109,107,104,102,102,107,113,115,115,116,117,117,117,116,116,116,114,112,112,113,114,115,115,115,115,115,113,113,113,114,114,113,112,113,115,115,116,116,117,117,118,119,121,123,124,124,126,129,130,130,130,129,129,129,125,122,124,129,131,128,124,123,126,129,130,128,126,127,129,128,126,127,129,128,122,115,112,113,115,117,117,117,116,115,116,118,119,119,118,117,118,117,116,116,116,117,120,122,123,122,124,129,133,132,129,128,129,128,123,118,119,122,127,132,134,132,128,126,125,127,130,132,132,130,127,127,129,132,134,134,133,132,132,130,130,132,134,135,134,134,132,132,134,135,134,132,131,133,133,133,133,133,129,122,120,126,129,130,132,133,131,124,120,122,123,124,125,123,119,114,113,116,119,120,119,121,125,126,126,129,131,132,131,130,132,133,133,133,135,136,137,137,134,131,130,134,136,134,134,136,138,138,136,134,134,135,135,133,130,130,133,136,136,135,135,135,134,132,132,133,135,133,133,132,132,132,133,134,131,128,126,127,131,135,135,134,134,135,137,136,133,132,133,137,140,141,139,138,139,141,141,140,139,139,138,132,126,125,129,135,137,135,131,126,125,126,126,124,121,122,127,133,137,138,139,138,136,134,136,139,140,139,135,132,134,137,137,138,137,138,138,138,138,139,140,141,142,143,143,142,140,138,139,141,142,143,142,141,142,143,143,143,142,140,136,134,133,132,131,134,138,141,141,140,139,141,141,139,136,134,133,136,140,141,null],[98,96,94,92,90,89,92,97,99,101,101,102,102,101,99,98,100,102,101,100,99,100,95,90,92,95,98,98,99,99,100,100,100,100,101,102,103,100,96,93,94,97,99,99,99,99,100,100,97,95,96,98,98,99,98,97,97,98,97,97,97,96,95,96,95,93,92,92,93,92,89,89,89,90,90,89,89,90,91,92,90,91,94,94,95,95,96,95,93,93,94,95,96,97,99,98,97,95,94,93,93,93,93,94,94,95,98,100,100,100,101,102,102,102,102,102,100,96,93,91,89,90,91,92,90,89,91,93,93,92,94,100,104,104,101,99,96,97,97,98,100,103,105,105,106,108,109,108,106,105,107,109,110,111,110,109,109,109,111,112,110,105,101,99,100,102,104,105,104,103,103,102,100,99,101,104,108,108,105,102,101,103,107,113,115,115,117,118,118,117,116,115,115,115,114,114,114,115,116,116,115,115,115,114,114,115,115,114,113,112,113,114,115,116,118,120,121,121,122,125,129,131,131,131,131,131,130,129,128,127,125,122,121,125,129,130,129,126,125,125,126,128,128,127,128,131,133,131,129,129,130,127,122,117,115,115,115,115,114,115,115,115,116,117,117,116,116,115,115,116,116,116,118,123,127,127,125,126,131,135,133,130,130,132,129,123,118,117,121,126,130,132,131,131,130,128,128,130,133,134,133,130,128,127,130,134,135,135,134,134,133,132,131,133,135,135,134,132,130,129,130,130,130,130,131,132,133,134,132,127,120,121,128,132,132,133,135,134,128,123,122,122,124,125,124,120,115,113,116,119,119,118,119,123,126,128,130,131,131,130,131,132,132,132,132,133,135,136,135,132,130,131,134,135,133,133,136,138,137,135,135,135,134,131,129,128,130,135,137,136,136,136,135,135,134,134,135,136,133,131,131,133,133,133,133,132,129,126,126,130,135,136,135,135,135,135,134,134,134,135,139,141,142,140,138,139,142,141,139,138,139,137,130,124,127,132,136,138,135,131,128,127,126,126,125,124,124,125,127,131,135,134,130,131,134,138,141,141,137,133,133,136,138,138,136,137,140,142,139,139,140,141,141,142,142,142,141,140,140,139,140,141,143,143,143,144,144,143,142,142,139,134,135,135,133,132,133,137,140,140,139,139,141,141,139,136,134,134,137,140,141,null],[97,93,88,88,89,92,96,100,102,100,101,102,101,99,99,100,102,101,98,97,97,98,95,92,93,96,97,98,98,99,100,100,98,97,98,101,105,104,99,93,91,92,96,98,100,99,98,98,97,96,97,98,97,98,98,97,97,99,98,98,98,97,95,95,95,94,93,92,93,93,90,90,89,89,90,89,90,90,91,92,91,91,92,93,93,93,93,93,93,92,93,95,96,96,97,96,95,95,95,95,96,95,95,95,97,99,100,99,99,100,101,102,103,103,102,100,97,96,94,92,89,89,91,91,90,89,91,94,95,95,97,100,102,104,102,100,99,99,100,100,100,100,101,103,106,109,110,109,108,107,108,109,110,111,111,110,109,109,110,111,108,104,101,101,101,101,102,103,102,100,98,99,101,102,103,105,106,105,104,104,105,108,112,115,115,116,118,118,118,117,116,116,116,117,116,115,115,115,116,117,116,115,115,115,115,116,116,116,115,114,114,116,117,119,122,124,125,124,126,128,130,132,132,131,130,129,129,128,128,128,126,123,122,125,128,128,129,129,128,126,125,127,128,127,128,131,133,134,132,131,132,132,128,121,117,117,118,116,114,114,117,120,121,120,120,120,120,120,121,122,121,119,120,125,129,129,126,125,130,134,134,132,132,133,131,124,118,117,120,125,128,130,131,133,132,130,128,129,133,135,135,134,131,129,130,133,134,134,133,134,134,134,132,132,134,135,134,132,130,128,128,128,128,128,128,128,129,130,127,121,119,124,133,136,134,133,134,135,131,126,123,123,124,124,123,121,117,114,115,117,118,118,118,120,122,126,130,132,132,132,132,133,133,134,132,131,132,133,132,130,130,132,134,136,134,134,135,136,137,135,135,134,130,129,130,130,131,133,135,136,136,135,135,135,136,136,136,135,132,131,132,133,134,135,134,131,129,128,128,130,134,136,137,136,134,133,134,135,136,139,141,142,140,138,137,139,141,140,137,136,137,135,127,125,131,135,137,138,137,134,131,128,126,125,126,126,125,124,124,126,129,128,124,125,131,135,138,137,134,133,136,138,138,137,138,140,142,142,140,139,140,140,141,141,141,140,140,140,142,141,140,141,142,143,144,145,144,142,141,140,137,135,136,136,134,132,133,137,140,139,139,140,141,142,141,138,135,135,137,140,140,null],[94,90,87,89,92,94,99,102,102,101,101,101,100,98,100,103,103,100,97,96,98,98,96,94,95,98,97,98,99,99,99,99,97,96,98,101,104,104,101,96,92,90,92,96,98,98,96,97,98,98,98,98,97,97,98,97,98,99,99,100,100,98,96,95,95,94,94,93,93,93,91,90,90,89,89,90,90,91,91,92,93,93,93,94,94,93,94,95,95,94,94,95,95,95,95,95,95,97,98,98,97,96,96,99,101,102,98,95,96,99,100,101,103,105,103,98,96,96,95,93,90,89,90,92,91,91,91,94,96,98,99,99,99,100,100,99,98,99,101,101,100,97,98,103,107,109,110,109,109,109,109,109,109,109,109,109,109,109,109,107,106,104,103,102,102,101,101,101,101,98,96,98,102,104,105,106,105,104,106,109,113,115,117,117,116,116,118,119,117,116,116,116,117,118,117,116,116,116,116,117,117,116,115,115,115,114,115,117,118,118,119,120,122,124,127,127,127,127,128,129,128,127,128,129,128,128,128,128,129,130,129,126,124,126,128,127,128,130,131,130,128,128,128,127,128,129,131,133,133,133,133,133,129,122,118,120,123,122,118,117,121,125,126,125,125,125,126,127,129,129,127,123,122,126,130,129,125,125,128,132,133,133,134,135,133,127,120,117,119,123,127,129,131,133,133,130,128,129,132,133,135,137,135,131,131,132,132,132,132,133,134,135,134,132,133,134,134,133,132,131,130,129,128,127,126,125,125,125,121,118,120,127,134,137,135,133,134,135,133,129,125,125,126,125,123,122,118,115,114,116,117,118,117,117,118,121,126,131,132,131,130,130,131,132,130,127,127,128,129,130,131,132,135,136,135,135,135,136,136,135,134,131,129,130,134,134,131,130,132,135,135,134,134,134,135,135,135,134,133,133,134,133,133,136,134,130,130,130,130,130,132,135,137,136,134,133,134,136,138,141,141,140,139,138,138,139,139,138,135,134,133,130,126,128,136,138,137,138,138,136,133,129,126,126,127,126,125,124,124,124,124,125,125,127,129,132,132,133,133,136,139,139,137,137,139,141,141,141,140,140,140,140,140,141,141,140,140,141,143,143,142,142,143,143,144,143,142,142,141,138,136,136,138,137,135,133,133,137,140,139,139,140,141,144,144,140,136,134,136,138,138,null],[90,88,90,93,96,98,101,102,103,103,103,101,99,99,100,101,101,101,101,101,100,99,97,95,97,98,98,98,100,99,99,99,98,98,100,102,102,101,100,100,97,93,93,94,97,97,98,98,99,100,100,98,96,96,97,98,98,98,99,100,100,99,96,94,93,93,95,95,94,93,92,92,91,89,89,90,90,91,92,90,92,93,96,98,96,94,94,96,97,95,94,94,95,96,96,97,98,99,99,96,95,95,96,99,101,98,94,95,97,101,100,99,102,104,103,99,97,96,94,91,89,90,93,95,93,92,93,95,97,99,99,97,96,96,98,98,97,98,101,103,103,101,102,105,108,109,108,108,109,110,109,108,107,106,106,108,109,109,106,104,103,104,104,103,102,102,101,101,100,99,100,101,102,104,106,108,107,106,108,113,115,117,118,118,117,116,118,118,117,116,116,117,118,118,118,117,117,116,115,116,116,116,115,115,113,112,113,115,118,121,125,127,127,128,128,128,127,128,127,125,124,125,127,128,129,128,128,129,129,130,130,129,127,127,128,128,129,130,131,130,130,130,129,127,127,128,129,129,131,132,131,129,126,121,118,121,127,128,125,124,124,125,126,126,126,127,129,131,132,131,129,125,122,124,129,129,127,126,127,129,131,133,135,136,135,131,123,118,119,123,127,129,131,132,132,131,130,129,130,132,135,137,136,134,132,131,131,133,134,134,135,136,134,133,133,134,134,134,134,134,132,130,130,128,126,124,123,121,121,121,122,125,129,133,135,135,135,135,131,128,127,129,130,128,126,124,120,116,114,116,117,118,117,117,117,118,119,122,125,126,124,123,124,125,126,126,125,125,127,130,132,132,133,135,135,136,136,136,135,134,132,130,129,131,136,134,131,129,129,132,134,135,134,133,133,133,132,133,134,135,135,134,133,134,133,130,131,133,133,130,129,132,134,135,134,134,135,137,140,139,138,138,138,140,140,140,137,136,135,135,130,126,127,133,138,139,137,138,136,133,131,129,127,128,131,128,126,125,123,122,122,126,132,136,134,132,132,134,135,136,138,138,138,139,139,140,140,140,142,141,141,140,140,141,141,140,141,142,143,143,143,143,144,144,143,141,141,142,142,138,137,137,138,138,136,133,132,134,138,140,141,141,143,146,146,142,137,132,132,134,136,null],[89,90,93,96,98,99,100,101,103,104,102,100,100,101,100,100,100,103,105,105,103,101,98,97,98,99,99,98,98,99,99,98,98,99,102,102,100,99,99,101,99,97,97,96,94,95,97,98,100,99,98,98,97,97,96,97,98,98,98,99,98,98,97,94,93,94,97,97,96,94,93,92,92,90,89,90,90,91,93,93,92,91,91,91,91,92,94,95,95,95,95,94,95,97,98,100,100,100,97,94,94,96,96,97,97,93,92,95,97,102,100,99,102,102,101,102,101,99,93,88,88,92,96,97,95,92,94,98,100,100,99,97,96,97,99,99,98,98,102,104,104,103,103,106,108,109,108,108,109,110,110,108,107,106,105,107,109,108,105,101,101,102,102,103,104,104,102,100,99,100,102,104,104,104,107,109,109,109,111,114,116,116,116,116,116,116,116,116,116,116,116,117,118,118,118,118,117,116,115,116,116,115,114,113,113,113,113,113,116,121,126,127,126,125,125,127,128,128,125,123,124,127,129,130,131,130,131,133,133,132,132,132,130,129,129,130,131,130,129,130,132,132,132,130,129,128,126,125,126,128,128,124,122,122,122,123,126,129,131,131,127,123,123,125,126,128,130,133,133,131,130,127,123,123,127,129,129,129,129,129,131,133,134,134,134,132,125,119,118,122,126,129,130,131,131,131,132,131,130,131,133,136,136,135,134,133,133,134,135,136,136,136,135,133,133,134,135,135,134,133,132,132,132,131,128,125,122,121,124,128,127,125,125,129,134,136,137,135,130,128,129,132,132,131,129,128,123,118,116,117,118,117,118,118,117,116,115,117,121,122,121,121,121,124,127,129,128,126,126,128,131,131,133,135,136,136,135,135,135,135,133,132,131,132,134,133,132,131,130,130,134,136,136,134,132,131,132,134,135,135,135,134,133,132,131,131,133,135,134,131,130,130,131,133,134,133,133,135,139,139,136,137,139,141,142,140,136,135,136,136,130,125,129,136,137,137,136,135,132,130,128,129,129,132,134,130,127,126,124,123,121,126,136,141,139,135,134,136,135,134,135,137,140,140,140,141,140,139,141,141,141,141,142,143,142,140,140,142,143,142,142,142,144,144,141,140,140,142,142,139,138,137,138,138,136,135,133,134,137,140,142,143,144,147,147,143,138,134,131,132,134,null],[91,94,96,97,97,97,98,99,102,102,100,100,101,102,102,101,102,104,107,107,105,103,100,100,100,100,100,97,96,99,100,97,97,99,101,103,101,99,98,100,100,99,100,99,94,91,92,96,98,97,97,97,99,98,97,97,97,98,98,97,97,97,97,95,95,96,97,98,97,95,94,92,91,90,90,90,90,90,91,92,94,90,91,89,82,88,94,95,93,94,96,96,96,97,98,100,99,96,94,95,98,99,97,95,93,92,94,98,100,99,99,100,102,100,99,103,104,99,92,87,88,93,97,97,95,94,96,100,102,102,100,99,99,100,101,101,99,100,102,104,102,100,100,103,107,109,108,107,108,109,109,108,107,107,107,107,108,107,104,101,101,102,102,103,105,104,101,98,98,100,102,104,106,106,107,109,111,111,112,114,116,115,114,114,115,116,116,116,115,116,118,118,118,117,118,118,118,117,117,117,116,114,113,114,116,118,117,115,115,119,122,122,121,119,121,125,128,127,124,124,126,129,131,132,132,132,133,135,135,134,133,132,132,131,131,132,132,130,129,130,132,133,134,135,134,130,126,124,124,126,124,119,121,127,129,125,122,125,131,134,130,125,124,124,126,129,133,135,134,132,132,130,126,124,126,129,131,131,131,132,133,132,131,131,132,130,124,118,118,120,124,127,129,131,132,133,134,134,132,131,132,134,135,135,135,135,135,135,135,136,137,136,135,134,134,135,135,135,134,133,132,132,133,133,130,125,122,124,129,133,133,129,126,127,131,135,136,134,130,129,132,133,132,132,132,131,124,119,118,119,118,117,118,119,117,115,117,120,122,124,125,126,126,128,131,132,131,128,126,126,128,130,133,135,136,135,134,133,135,135,135,134,132,133,134,133,133,133,132,131,134,137,138,136,134,133,134,135,135,135,134,134,134,131,130,132,134,134,133,133,132,131,131,133,133,132,131,133,138,139,138,139,139,139,140,139,137,137,137,135,131,128,133,138,136,137,136,131,129,130,130,131,132,134,135,131,128,128,126,124,121,124,133,139,140,138,136,135,134,133,134,137,140,140,141,142,141,139,139,140,140,141,143,144,141,138,139,141,143,142,141,141,142,141,139,139,141,141,140,139,139,138,139,138,136,137,137,136,136,139,142,143,144,146,147,143,141,139,135,133,134,null],[93,96,97,98,96,95,96,98,99,99,99,100,102,104,104,103,103,104,106,106,104,103,101,99,99,101,101,99,98,100,100,98,98,100,100,102,102,99,97,99,99,99,99,99,96,93,91,92,95,98,98,98,99,99,99,97,97,97,98,98,98,98,96,95,95,95,96,96,96,95,94,92,91,92,92,90,90,90,90,90,91,90,90,90,88,90,92,93,93,93,95,95,95,96,96,96,96,94,93,96,99,100,97,93,92,92,96,101,101,98,98,101,102,100,99,102,102,96,91,89,91,94,96,98,99,100,101,103,103,103,101,101,101,101,101,100,99,100,102,102,100,99,98,100,105,109,108,108,108,108,108,106,106,106,107,108,108,106,103,102,102,102,101,103,106,105,101,99,99,101,102,104,107,109,109,109,111,112,113,113,114,114,114,114,115,115,116,116,116,117,119,117,116,117,117,117,117,117,118,118,115,113,116,119,120,120,121,120,118,118,118,119,120,120,120,121,122,122,122,124,127,129,130,131,132,130,131,132,133,131,130,129,130,131,132,133,133,131,129,130,132,133,134,137,137,134,131,130,128,124,120,118,124,132,132,125,119,120,126,131,132,130,128,128,130,131,132,133,134,134,134,132,129,127,128,130,132,133,132,132,133,133,132,132,132,128,123,119,118,119,121,126,130,131,132,133,134,135,135,133,133,134,136,136,135,136,136,135,136,137,137,136,134,134,135,134,134,134,134,134,132,131,130,130,130,125,123,126,131,134,135,132,128,125,127,131,133,131,129,130,132,132,131,132,133,130,123,118,119,119,118,117,117,117,116,114,117,120,123,127,129,130,130,131,132,132,131,130,129,129,128,128,129,132,134,134,132,133,134,134,134,133,133,134,134,133,134,135,134,133,135,136,136,135,135,135,136,136,135,135,135,135,134,132,132,134,133,131,132,134,134,133,133,135,134,131,129,132,137,140,140,139,138,137,138,138,137,135,134,131,130,132,136,138,137,137,136,130,128,132,134,134,134,133,133,130,128,128,127,125,123,124,127,133,137,138,138,137,136,135,135,137,139,140,141,141,141,140,138,139,141,140,141,141,138,135,136,140,142,143,141,140,140,140,141,141,141,140,139,140,139,138,139,140,138,139,138,137,137,138,139,140,143,144,146,146,146,143,138,134,133,null],[93,96,99,100,98,95,95,97,96,96,97,99,102,103,104,103,103,103,104,104,104,103,100,98,99,100,101,101,101,100,99,98,98,98,99,100,100,97,96,97,98,97,97,98,98,97,93,90,92,96,98,99,100,99,99,98,97,97,98,100,99,98,96,94,93,94,95,95,94,94,94,93,92,91,91,91,91,91,91,91,91,90,90,90,91,92,93,94,97,95,95,94,94,94,93,94,94,95,96,98,98,98,96,92,91,92,96,102,101,99,99,100,101,102,102,100,96,93,91,94,96,96,96,98,102,104,105,105,103,102,102,101,101,101,99,98,100,102,102,101,100,101,101,101,104,107,106,107,108,107,106,105,105,106,107,108,109,107,104,103,103,103,102,104,106,105,104,102,101,102,102,103,106,109,110,110,111,112,112,112,112,113,113,114,114,115,117,118,118,118,119,117,117,117,118,117,117,119,120,119,114,112,118,124,123,121,122,124,123,119,117,119,122,124,123,121,119,119,120,123,125,126,126,128,128,127,128,129,128,127,126,127,129,131,133,133,133,132,130,130,130,129,131,135,136,135,135,133,129,123,119,121,126,131,130,126,122,120,122,126,129,132,133,133,132,131,131,131,133,135,134,132,131,130,130,131,133,133,131,130,131,133,133,133,131,126,123,120,119,119,121,125,130,132,133,133,134,135,136,135,134,134,135,135,134,134,136,136,136,137,136,135,134,134,134,134,133,134,135,135,133,130,128,127,127,125,126,129,132,134,135,133,130,126,125,127,129,130,130,131,131,132,132,132,131,128,122,118,118,118,117,116,115,114,114,115,117,120,123,127,129,130,130,130,131,131,130,131,132,133,131,127,127,128,131,132,132,134,135,133,132,132,134,135,134,134,135,136,135,134,134,135,135,135,135,137,137,136,135,135,135,135,134,133,133,135,131,129,131,133,134,134,136,138,136,132,131,133,136,139,139,138,137,137,136,137,136,135,131,127,128,135,138,138,139,138,135,131,130,135,137,137,135,132,130,128,128,127,125,125,126,125,125,127,132,135,138,140,140,138,137,136,137,140,141,140,141,141,138,138,139,138,137,137,135,135,136,139,142,144,143,141,139,140,141,141,140,139,139,140,140,140,141,142,141,140,139,137,137,138,136,138,142,144,145,148,148,144,137,134,135,null],[92,95,99,102,100,96,95,96,97,96,97,99,101,101,101,102,103,104,105,104,103,102,101,99,99,99,99,99,99,98,98,98,98,97,96,97,97,96,96,97,96,94,94,97,100,98,95,92,90,91,95,98,100,100,98,98,98,98,99,99,99,98,97,95,93,93,95,96,95,95,95,94,92,91,91,93,93,94,95,95,95,94,94,93,95,97,100,101,101,99,97,95,94,95,94,94,95,97,99,99,97,94,93,91,91,94,98,100,101,101,99,98,99,102,103,99,93,91,94,100,102,101,98,99,102,103,106,107,105,102,100,100,101,101,99,100,104,104,102,102,103,104,104,104,105,105,105,106,107,108,107,107,107,107,107,108,109,107,106,105,104,103,103,104,105,106,106,105,103,101,101,103,105,108,108,109,110,112,112,112,113,113,112,112,114,116,117,118,118,118,119,119,119,118,118,118,119,121,122,119,113,112,118,124,125,123,123,126,126,121,118,119,123,126,126,125,123,121,120,120,123,124,124,124,124,125,127,128,127,126,127,128,130,132,134,133,132,132,131,129,127,126,128,131,132,132,131,128,124,122,123,125,127,129,129,129,128,126,124,123,125,129,134,134,131,130,132,133,134,134,132,132,133,134,133,132,132,131,129,128,129,130,130,129,128,125,124,123,121,119,121,125,129,132,133,134,134,134,134,134,132,131,132,132,132,133,135,136,137,137,137,136,135,134,133,133,134,134,135,134,133,130,128,126,125,125,128,131,133,134,134,133,131,129,127,126,128,131,132,133,133,134,134,132,130,127,122,118,118,117,116,117,116,114,114,115,118,119,121,123,124,125,127,129,131,132,132,132,132,133,132,130,129,130,129,130,132,135,136,134,132,132,134,136,136,136,136,137,135,133,133,135,136,135,135,136,137,137,136,135,134,134,133,133,134,135,132,129,131,133,134,135,138,140,139,135,132,132,135,137,137,138,138,138,136,136,137,136,131,125,129,138,140,139,139,136,133,132,133,135,138,139,137,132,129,129,129,125,123,124,127,127,125,125,128,131,137,140,141,138,135,136,138,140,140,139,139,139,136,134,136,136,135,135,137,139,139,139,141,143,144,141,139,138,137,137,139,139,139,140,142,142,143,143,143,142,140,138,137,138,138,139,143,145,146,149,147,141,136,135,138,null],[93,94,97,100,98,96,95,97,98,98,99,100,101,100,98,100,103,106,106,104,102,102,101,98,98,98,98,97,97,97,98,98,98,97,96,96,95,94,95,96,94,93,94,97,99,99,97,97,93,90,90,94,98,99,98,98,99,99,99,98,97,97,98,96,95,95,96,96,97,97,96,95,93,92,93,94,95,96,96,96,96,97,96,95,98,101,102,102,100,99,97,96,96,96,96,96,97,97,98,98,97,94,92,91,93,95,98,98,100,102,100,98,99,101,101,98,93,92,96,102,105,104,102,101,102,103,106,108,107,103,100,100,101,101,102,103,107,107,105,104,103,102,104,106,106,105,105,105,107,108,108,108,107,107,107,108,108,108,107,106,104,103,103,103,105,106,106,104,101,99,100,103,104,105,106,108,109,111,112,113,115,114,112,112,114,115,116,117,117,118,119,119,117,116,117,118,118,119,119,116,111,111,116,122,125,124,124,126,126,122,119,120,123,126,126,127,127,126,123,122,124,126,125,124,125,127,130,131,130,130,131,131,132,132,133,133,133,133,132,130,128,127,127,127,128,128,128,123,121,124,129,131,129,128,129,132,133,131,127,122,121,125,130,131,128,129,132,133,133,133,132,133,134,135,133,133,132,130,129,129,130,129,127,126,126,126,127,126,122,119,120,122,125,129,132,133,131,130,130,130,130,130,131,132,132,133,135,136,136,136,136,136,135,134,133,134,134,135,134,132,130,129,128,127,125,125,127,131,134,135,134,133,131,130,128,125,127,130,133,134,134,135,134,132,129,126,123,119,119,118,117,118,118,116,115,117,118,118,119,120,121,123,126,128,132,132,132,131,132,132,132,132,133,132,130,130,133,135,135,133,132,133,135,136,137,136,136,137,135,133,134,136,137,135,134,136,136,136,135,134,134,133,132,134,133,132,131,131,132,134,135,136,138,139,140,138,134,133,135,137,138,139,139,139,137,137,137,135,131,127,131,137,140,139,137,134,133,134,135,136,138,140,137,133,131,130,129,125,123,125,128,128,126,125,125,126,131,135,136,135,135,135,137,138,137,135,135,134,132,132,134,137,137,137,139,142,141,140,140,142,144,141,138,137,136,137,139,139,139,140,142,143,144,144,144,143,140,138,137,138,141,142,143,145,147,149,147,140,135,136,138,null],[95,94,95,97,96,96,96,97,100,101,102,101,99,99,100,101,104,106,106,103,101,101,100,97,97,98,98,98,98,98,98,99,99,98,97,97,96,95,95,95,95,95,96,96,98,98,99,99,98,93,89,89,94,97,98,99,100,100,99,97,96,96,97,96,96,97,97,96,97,98,98,96,95,94,94,95,96,96,95,95,96,98,97,96,99,101,100,99,97,97,96,96,96,97,98,97,96,96,96,97,96,92,91,93,97,99,99,98,100,101,100,99,99,99,98,97,94,93,97,102,104,105,104,104,104,105,106,107,107,104,101,101,101,102,104,106,108,109,108,106,103,100,101,104,106,106,106,106,107,108,108,108,107,106,107,108,108,108,107,106,105,104,104,104,104,105,105,102,100,99,101,102,102,103,105,108,109,110,111,113,115,113,112,112,113,114,115,116,115,116,117,117,114,112,113,115,115,114,112,110,109,110,114,120,124,125,125,125,125,122,120,121,124,126,125,126,128,129,128,127,128,129,128,126,126,129,132,133,134,135,135,134,132,131,131,133,134,134,133,132,131,130,127,126,126,128,127,124,123,127,133,135,131,128,130,133,135,133,129,124,121,122,124,126,128,129,130,131,132,133,134,135,135,134,133,133,133,132,132,132,131,129,127,125,127,130,131,128,123,120,121,121,121,125,128,129,128,127,127,129,130,131,133,133,134,134,136,136,135,134,134,134,133,132,133,134,134,134,134,131,129,128,127,127,128,126,126,130,135,137,135,133,131,128,127,127,128,130,132,134,135,134,133,131,128,124,122,120,120,119,119,121,122,120,118,117,118,118,118,119,121,123,126,128,129,130,131,132,132,132,132,133,135,135,133,132,133,134,134,132,131,133,136,137,137,135,135,137,136,135,135,137,137,135,134,137,137,135,134,133,133,132,132,134,132,129,130,133,135,136,137,137,136,137,140,141,137,135,135,138,140,139,139,139,138,138,136,133,131,131,133,137,140,140,136,133,133,136,137,138,140,140,137,136,134,132,127,125,125,126,128,130,130,127,125,124,125,127,128,130,133,133,132,133,133,131,131,131,131,133,137,139,140,139,139,140,140,140,140,142,141,138,136,136,138,139,140,140,139,141,142,143,144,145,145,142,139,137,139,141,144,144,142,145,149,150,147,140,136,135,136,null],[95,95,95,98,98,98,97,98,101,104,104,100,97,98,101,104,105,105,105,103,100,99,98,96,96,98,100,99,99,99,99,99,99,98,98,98,97,97,97,97,97,96,95,95,97,99,100,99,100,98,93,89,90,92,95,98,99,99,98,98,98,97,96,96,97,98,98,97,96,96,97,97,96,96,96,96,95,95,95,97,98,99,98,98,99,100,98,96,95,95,96,96,96,97,96,95,94,94,95,93,91,90,90,94,98,99,100,100,100,100,100,100,99,98,96,94,92,93,98,103,105,104,103,104,106,108,108,108,107,106,104,103,103,103,104,105,106,108,109,107,104,102,103,104,105,106,106,106,107,108,108,107,106,106,107,109,109,108,107,106,107,107,108,107,105,105,105,104,102,101,101,100,99,101,105,109,109,109,110,112,112,111,110,109,111,114,116,115,114,113,115,116,113,111,111,112,112,108,105,105,107,110,114,119,123,125,126,125,124,124,121,121,124,126,125,126,128,130,130,129,129,129,128,125,123,126,130,132,134,135,135,134,132,131,131,131,133,134,135,136,135,131,127,127,128,130,129,126,124,127,133,135,132,130,131,134,134,133,131,127,124,122,121,124,130,133,134,133,132,132,134,136,136,135,134,133,133,133,133,133,132,130,129,127,128,131,132,129,123,121,123,123,122,123,123,124,126,128,131,132,134,135,135,136,135,135,135,135,133,131,131,131,131,132,133,135,134,133,133,132,131,131,130,131,132,128,126,131,136,138,136,133,132,129,127,130,132,132,133,133,134,135,133,129,124,120,119,120,120,119,120,125,127,125,121,118,118,118,117,117,120,122,124,125,126,128,131,133,132,132,131,133,136,137,136,134,134,135,134,132,132,134,136,137,136,136,136,137,137,137,137,137,137,136,136,138,138,136,133,132,132,133,134,133,131,130,130,134,138,141,140,139,137,136,139,141,139,135,134,138,141,139,138,138,138,137,134,131,131,135,137,138,140,140,136,133,134,138,140,140,140,139,136,136,135,130,125,125,126,127,129,132,134,132,129,127,125,123,124,126,130,130,129,130,131,132,132,133,134,137,139,141,141,141,139,137,138,140,142,142,138,134,133,136,139,140,139,140,141,143,143,143,144,146,146,143,138,137,141,145,147,146,145,148,152,151,145,140,137,137,138,null],[95,95,97,99,100,98,98,98,99,102,103,101,98,99,103,107,106,105,103,101,98,97,97,96,96,97,99,99,98,99,99,98,98,98,98,98,97,97,97,98,99,98,95,94,96,100,101,98,99,100,98,93,90,90,92,96,98,100,100,100,100,98,96,96,98,98,98,97,97,97,97,98,98,97,96,96,95,95,96,99,100,100,99,98,98,98,98,96,95,96,97,97,96,95,95,95,94,94,95,91,90,91,91,95,97,99,100,100,99,100,100,100,99,97,95,92,92,94,100,105,106,104,103,104,107,109,109,108,107,107,106,105,104,104,104,104,105,106,108,108,106,106,105,104,105,105,106,107,108,108,107,106,106,107,108,109,110,109,108,108,109,110,111,109,107,105,105,106,104,102,101,99,98,102,107,110,110,109,109,110,110,109,108,107,109,113,115,114,113,113,114,114,112,110,109,108,107,104,102,104,108,112,115,119,122,124,125,125,124,125,122,120,123,125,125,125,128,130,131,130,129,129,128,125,122,123,126,130,132,133,132,132,133,133,132,131,131,134,135,135,133,129,128,129,130,131,131,128,125,125,129,133,133,131,132,133,133,134,134,131,127,124,123,125,129,132,134,135,133,133,135,137,137,137,137,136,135,135,135,134,133,132,132,130,129,131,134,131,124,121,124,127,127,123,121,122,125,129,132,133,133,135,135,135,135,133,132,131,130,130,130,131,132,132,134,135,134,133,133,134,134,133,132,133,134,130,128,131,135,136,135,134,132,130,129,133,136,136,134,132,132,132,131,126,121,118,118,120,121,120,121,127,131,130,126,121,118,117,116,117,119,121,122,122,125,128,131,131,131,130,131,133,135,137,137,136,135,135,135,134,134,134,136,137,137,137,137,137,137,136,136,135,137,137,138,137,138,137,134,132,133,135,135,133,132,132,131,132,137,140,141,141,139,138,140,141,139,135,133,136,140,140,139,139,138,136,133,130,133,138,140,137,138,139,136,133,135,138,141,141,140,139,137,136,133,128,124,126,127,127,131,134,137,136,135,132,129,125,124,126,127,127,127,128,130,134,135,136,138,140,141,140,139,139,136,134,137,139,140,138,135,132,132,135,138,139,139,141,143,144,144,144,145,146,146,142,137,137,141,147,150,151,150,151,151,149,144,139,140,141,142,null],[94,94,96,97,98,98,99,98,96,98,102,102,101,102,104,106,108,106,101,98,95,95,96,97,97,97,97,97,97,99,99,97,97,98,98,97,96,96,97,97,97,97,96,96,98,99,99,96,97,99,98,96,94,91,90,92,96,100,101,101,101,98,96,98,99,97,97,98,99,99,99,99,98,97,97,98,97,97,98,100,101,100,99,98,98,98,98,96,95,96,97,97,95,95,96,96,95,93,93,91,91,93,95,97,99,100,100,98,98,99,100,100,100,98,95,92,93,97,102,105,106,106,106,106,107,108,108,106,106,107,107,106,104,103,104,105,105,105,107,108,109,108,106,105,105,105,106,108,109,109,108,108,109,109,109,109,109,109,109,110,111,112,112,111,107,105,105,106,105,102,99,98,100,105,108,110,109,107,108,108,108,108,108,107,108,110,112,113,112,112,111,110,109,108,107,106,104,103,104,107,111,114,116,119,120,123,124,124,124,124,122,122,122,123,124,125,127,129,130,130,129,129,130,128,125,124,125,127,129,130,130,132,134,134,133,132,133,134,135,132,129,128,130,132,131,129,130,129,125,122,125,130,132,131,133,134,135,137,137,133,128,126,127,127,126,127,129,132,134,135,136,136,136,137,138,138,137,137,137,136,134,134,134,131,129,131,135,134,127,121,123,128,131,128,123,122,124,127,128,128,128,130,132,132,132,130,129,129,130,130,131,133,134,134,135,136,135,134,134,136,135,134,133,133,133,131,129,129,131,134,135,134,132,132,132,133,135,135,134,131,128,128,126,122,119,118,119,120,121,122,124,129,132,132,130,124,119,117,118,119,120,121,121,121,125,128,129,128,128,128,130,132,133,135,137,136,134,134,136,136,135,134,135,137,138,137,137,137,136,135,134,134,136,138,138,136,136,136,134,133,134,135,135,135,134,135,132,131,133,136,139,140,140,140,140,141,140,136,133,135,139,141,141,140,139,136,132,130,134,139,139,135,136,137,135,135,136,138,139,139,139,140,139,136,131,126,125,127,127,128,133,136,137,137,138,137,134,130,128,128,128,128,128,127,129,133,135,137,137,137,138,138,137,135,133,132,135,136,134,132,132,134,134,135,137,139,141,141,142,143,145,146,146,146,144,139,136,138,143,149,153,153,152,150,148,145,142,140,144,147,145,null],[91,91,94,95,95,98,98,97,96,98,103,104,104,105,106,107,110,109,103,98,94,94,97,98,98,97,96,96,98,99,99,97,97,98,98,97,96,97,97,97,97,97,97,98,98,98,97,97,96,97,97,98,96,93,90,90,93,97,100,100,99,98,98,99,99,97,97,98,98,98,100,100,99,99,99,99,99,99,100,101,102,102,100,99,99,98,98,96,93,93,93,93,95,96,96,97,96,94,92,91,92,95,96,98,100,101,99,97,97,99,100,102,102,101,97,92,93,99,104,106,106,107,108,107,106,106,106,105,106,106,105,105,104,102,104,106,106,106,106,107,107,107,106,106,106,105,106,107,108,109,110,111,111,111,109,108,108,109,110,112,113,112,112,110,108,105,104,105,106,103,99,98,101,106,108,108,108,108,108,108,108,107,107,107,107,108,109,110,110,110,109,108,107,107,107,106,105,105,107,109,111,113,116,118,120,122,124,124,124,124,123,122,122,123,125,127,128,130,131,131,130,130,131,131,129,127,127,128,129,129,130,131,133,135,135,135,135,134,132,130,129,131,133,132,131,130,131,129,125,122,124,129,132,132,133,135,136,138,136,130,127,127,131,130,127,125,125,127,129,132,135,135,134,134,136,136,136,138,140,139,137,135,134,131,130,132,135,135,128,122,123,129,133,132,127,123,123,125,127,126,125,126,128,128,128,128,129,130,132,132,133,134,135,136,135,135,135,135,135,137,134,132,133,134,132,131,130,128,130,133,134,133,131,132,133,133,133,132,130,127,124,123,123,121,120,120,120,120,122,125,129,132,134,134,129,123,119,120,122,122,121,121,120,120,122,125,126,128,128,128,129,131,131,133,137,135,133,132,134,136,135,134,134,136,137,137,136,136,135,134,133,134,135,136,137,136,135,135,133,134,135,136,136,136,137,137,134,131,132,135,137,140,141,141,141,140,139,137,135,135,138,141,140,139,139,137,131,130,133,137,138,136,136,137,137,137,138,139,138,137,138,139,139,135,129,126,126,127,127,129,135,138,137,137,138,138,136,136,135,133,130,130,129,128,127,128,130,132,131,131,132,133,133,131,130,130,132,131,130,129,131,134,137,137,138,140,143,142,141,143,145,146,146,145,142,138,136,140,146,150,150,148,147,149,150,146,143,144,148,149,147,null],[89,88,92,95,97,98,97,97,98,101,105,105,103,104,106,107,110,111,105,99,95,95,98,99,98,97,96,97,98,99,99,97,97,98,97,96,96,96,97,97,97,97,98,98,97,97,97,97,97,96,98,99,97,94,91,90,91,92,95,98,98,99,101,100,98,96,97,98,96,97,99,99,100,100,100,99,99,99,100,100,100,100,100,100,99,97,96,93,90,89,89,91,95,97,96,95,94,93,93,93,94,95,96,98,100,101,100,97,97,99,101,103,104,103,98,92,93,100,105,107,106,107,108,107,106,105,105,105,106,105,104,104,103,102,104,106,106,106,107,106,105,105,106,107,106,106,107,108,108,110,111,112,112,111,110,108,107,108,111,112,113,112,112,111,109,107,105,105,106,105,101,99,100,104,105,105,105,106,108,108,108,108,107,107,107,108,108,108,108,109,109,108,107,107,106,106,107,109,110,110,110,112,115,118,120,122,123,124,125,125,125,124,123,124,127,128,128,129,131,131,131,130,131,131,132,130,129,130,131,132,132,132,132,133,135,136,135,133,130,130,132,134,133,130,131,133,134,131,126,123,125,129,132,133,134,135,136,135,131,127,126,128,131,132,130,128,126,125,126,127,130,131,132,132,132,133,135,137,139,139,137,135,134,132,132,133,135,134,127,121,123,129,134,134,129,124,123,126,128,128,127,127,127,125,125,126,128,131,133,134,134,134,135,135,135,134,135,135,136,136,134,132,133,135,134,131,129,129,131,133,134,132,130,132,134,132,130,128,128,126,124,124,124,123,122,121,120,121,122,127,132,134,134,132,127,122,121,125,128,126,122,120,119,119,119,121,124,128,130,129,129,130,130,132,135,134,132,133,134,135,135,135,134,134,136,137,137,136,135,135,135,136,136,136,136,136,135,134,134,135,136,137,137,138,139,138,135,133,134,136,137,139,141,141,140,139,138,138,137,137,139,141,139,137,137,135,130,130,133,136,138,138,137,138,139,140,140,139,137,136,137,138,136,133,129,127,128,129,128,130,136,139,138,138,138,137,138,139,139,136,134,133,133,132,129,126,126,127,128,128,129,131,132,130,129,129,130,130,131,131,132,135,138,139,139,140,143,144,143,144,145,145,144,144,143,139,138,143,149,150,146,143,144,149,152,149,147,149,150,151,150,null],[91,91,95,98,99,98,96,96,99,103,106,104,101,100,102,106,109,109,104,100,97,97,97,97,97,97,97,97,97,99,99,97,96,96,96,96,95,95,96,97,98,98,97,97,97,98,98,97,97,98,100,100,99,97,94,92,91,90,92,95,98,100,101,100,97,96,97,98,97,97,97,98,98,99,99,99,98,98,99,98,97,97,98,98,97,95,93,92,90,90,90,92,97,98,95,92,93,93,94,93,93,95,98,99,99,100,100,98,97,99,101,102,102,101,98,93,95,103,107,108,107,107,107,107,107,106,106,105,105,105,104,104,104,104,105,105,104,105,106,106,106,107,108,108,107,107,108,109,109,110,111,110,110,110,110,109,108,109,111,112,111,111,113,114,112,108,105,106,107,106,104,101,100,102,102,99,99,103,106,108,109,110,110,108,108,108,107,107,108,109,109,109,107,104,102,103,107,111,111,109,109,112,116,118,119,121,123,124,126,128,127,125,125,125,126,126,126,127,128,129,130,130,130,132,133,132,131,131,132,134,136,135,132,132,134,136,135,133,131,130,131,134,133,130,131,134,136,133,128,124,125,129,133,134,135,134,133,131,129,126,126,128,130,130,130,130,130,130,128,127,126,127,129,132,133,134,135,136,137,136,135,135,136,134,133,134,135,133,126,121,122,129,134,135,131,126,125,127,132,133,133,132,129,126,126,126,126,127,130,133,134,133,133,133,133,133,133,133,135,136,135,134,134,136,136,131,128,129,132,134,134,132,131,134,136,132,128,128,130,131,131,129,125,123,121,122,122,122,125,129,133,133,131,128,125,123,123,128,132,130,123,119,118,120,121,121,124,128,131,131,130,130,131,132,133,133,133,134,135,134,134,134,134,134,134,137,138,138,137,137,138,138,138,138,137,137,136,135,135,136,137,138,138,138,139,138,136,135,136,137,136,138,139,139,138,138,138,139,141,140,141,141,139,136,134,131,129,132,136,138,139,138,139,139,138,138,138,137,136,135,136,136,133,130,127,128,130,130,130,130,135,138,139,140,139,138,137,138,138,137,137,137,137,137,134,130,129,130,133,133,133,133,133,132,130,129,131,134,136,136,136,137,137,138,138,140,142,143,145,146,146,144,143,144,145,142,140,146,150,147,144,145,150,153,151,151,152,154,154,151,150,null],[94,96,99,101,101,98,98,100,103,105,104,104,102,100,99,102,106,106,102,101,100,99,98,95,96,96,97,97,97,99,99,98,97,96,96,96,95,95,96,98,99,98,97,97,98,99,99,98,98,98,99,100,100,98,96,94,94,93,92,92,96,99,100,99,97,96,97,98,97,97,97,97,97,98,99,99,99,99,99,97,95,95,96,96,96,95,95,95,95,95,95,96,98,98,95,94,95,95,95,94,93,95,98,98,96,98,99,98,97,98,99,99,98,95,93,94,99,105,108,109,109,108,108,108,108,107,106,106,105,105,104,104,105,106,106,105,104,105,106,107,108,109,109,108,107,107,109,110,111,111,111,111,110,110,110,110,110,110,112,112,111,111,115,117,115,110,106,107,108,108,105,101,99,100,101,99,98,101,106,108,108,108,109,109,108,107,104,103,106,107,108,109,106,101,98,100,105,110,111,109,109,112,115,117,118,119,122,124,126,128,126,124,125,127,126,126,125,125,126,128,131,131,131,131,133,133,131,131,132,135,137,135,132,130,132,136,136,135,134,132,131,132,133,132,131,133,134,133,130,126,126,129,132,133,134,133,130,131,131,129,127,128,129,130,132,133,133,134,133,129,126,126,128,132,134,134,133,134,134,133,134,136,137,135,133,134,134,131,124,120,123,129,134,135,131,127,127,130,133,134,135,135,133,129,129,129,128,127,127,130,132,132,132,133,134,134,134,134,135,137,137,136,135,136,136,132,129,130,133,134,134,133,133,135,135,130,128,130,132,133,134,130,125,122,120,122,124,126,129,131,132,132,131,129,127,124,123,127,132,130,123,118,118,122,124,124,124,126,128,129,129,128,129,130,131,132,133,135,136,135,134,134,134,134,134,137,138,138,138,138,138,137,137,138,138,138,138,137,138,138,139,139,138,137,138,138,136,135,138,138,136,137,138,139,138,138,139,140,141,141,140,139,138,135,133,130,129,133,138,138,137,137,138,138,136,136,137,137,137,135,134,133,130,129,128,128,130,132,131,129,132,135,137,138,138,137,136,136,135,136,137,137,138,139,138,136,133,135,139,140,138,137,135,134,131,129,131,135,139,140,139,139,138,136,137,139,141,143,145,147,146,144,143,144,146,143,142,145,146,142,142,147,153,153,150,151,155,155,153,148,145,null],[97,100,102,102,99,96,98,104,108,106,102,104,107,104,101,100,102,103,101,102,102,101,99,96,95,95,96,96,97,98,99,99,98,97,97,97,96,96,98,99,98,97,97,98,99,99,99,99,99,98,97,98,99,98,96,96,97,97,93,91,92,96,98,98,98,97,97,97,97,97,98,99,99,99,99,100,100,100,99,98,97,96,96,97,96,96,99,101,100,99,98,97,97,97,97,99,100,98,96,95,94,94,97,96,94,95,97,97,96,96,95,94,92,89,90,96,102,107,109,109,109,109,109,108,108,108,107,106,105,104,105,105,106,108,108,106,106,106,107,108,109,109,108,107,106,107,109,110,111,110,111,112,111,110,109,110,111,112,113,114,113,113,116,118,115,111,108,107,108,107,104,99,96,99,103,102,101,103,106,106,104,104,106,109,108,104,100,99,103,105,106,107,106,102,98,99,104,107,108,109,110,111,113,115,117,118,120,124,126,125,122,122,124,127,127,126,124,123,124,128,131,131,129,130,132,133,132,132,132,133,134,134,131,130,132,136,137,137,137,134,131,132,134,133,132,132,132,131,130,129,129,130,132,133,133,132,130,132,133,131,128,128,130,133,135,135,134,135,135,132,128,126,127,130,132,131,131,131,132,134,135,136,136,134,134,134,132,126,122,121,125,131,135,135,131,127,128,132,133,133,133,135,135,133,133,134,134,131,128,128,129,130,132,133,136,136,136,136,136,137,137,136,135,136,136,134,132,132,133,134,134,134,134,134,132,129,130,133,133,132,131,127,124,122,121,122,126,130,133,133,134,133,133,133,131,126,121,123,129,128,122,118,119,122,125,125,125,125,125,126,126,127,127,128,131,132,132,133,135,135,135,134,133,133,134,136,137,137,138,138,137,134,133,135,138,139,139,140,139,138,138,138,137,137,138,139,137,135,137,138,137,137,138,139,139,139,139,139,139,140,140,139,137,135,135,134,131,133,136,136,135,136,137,136,134,135,137,138,136,133,131,130,130,130,129,127,129,134,133,130,130,130,132,132,133,135,136,135,134,134,135,135,136,138,139,138,136,137,141,143,141,139,137,135,132,130,130,134,139,141,142,141,139,138,139,141,141,141,143,145,144,143,143,144,145,144,143,142,142,141,141,145,149,150,149,151,154,153,148,142,138,null],[97,99,100,101,98,93,95,102,107,107,103,105,108,108,106,103,99,98,100,103,104,102,100,97,96,96,96,96,96,97,98,99,99,98,98,98,98,98,98,98,97,97,97,98,99,98,97,98,98,99,98,98,99,98,97,97,99,98,95,92,91,93,96,97,98,98,98,98,97,97,98,99,99,98,99,100,101,100,100,101,101,100,98,97,96,96,99,101,101,99,98,98,96,95,97,99,99,98,96,95,94,92,92,92,93,94,95,95,94,92,91,89,88,88,92,98,105,109,109,108,107,107,106,105,105,107,108,106,104,104,106,106,107,109,108,107,107,107,107,108,109,110,108,106,105,107,108,109,109,108,109,111,111,110,109,110,112,112,113,115,116,116,116,115,114,112,110,107,106,105,102,97,95,99,103,105,104,103,104,102,100,101,106,108,106,102,98,98,99,100,102,105,107,104,101,99,101,102,104,107,109,109,110,113,115,117,121,124,124,121,119,121,124,127,128,126,122,119,121,125,127,126,125,126,130,132,133,133,132,131,130,130,129,130,132,135,136,137,137,135,133,134,134,133,134,134,133,131,131,131,130,131,133,134,134,131,130,132,133,129,127,129,131,133,134,135,136,136,136,133,128,126,128,131,131,130,130,131,133,135,135,135,134,133,134,135,131,125,121,123,129,134,135,135,132,128,128,131,134,134,134,136,137,136,136,137,137,135,131,128,127,127,130,132,135,137,137,137,137,136,136,136,135,135,136,135,133,132,132,134,135,134,133,132,132,132,134,135,135,132,129,128,127,125,122,121,125,129,132,134,135,135,134,134,132,128,122,123,127,128,124,120,120,122,123,124,126,126,126,126,129,130,129,129,132,132,130,131,133,134,135,134,133,132,132,135,137,136,137,137,135,132,130,132,135,137,138,138,138,138,137,136,136,137,139,140,139,137,138,139,138,137,136,137,137,139,140,139,139,141,142,141,137,135,137,138,135,133,133,134,137,138,139,138,135,135,137,137,134,131,128,128,130,131,128,127,129,134,136,134,130,128,129,129,130,133,135,137,136,136,137,136,135,137,139,140,139,139,140,141,141,141,138,135,131,132,135,138,139,141,142,141,140,140,140,142,142,141,140,140,142,144,145,146,147,148,146,143,143,146,143,141,146,148,148,149,151,150,145,140,140,null],[96,97,99,103,100,94,94,100,104,107,108,107,108,111,112,109,100,95,98,102,104,102,99,98,97,97,96,95,95,96,97,98,98,98,98,99,99,99,98,97,97,97,97,97,97,97,97,97,98,99,99,98,99,98,97,98,98,96,96,95,92,92,94,95,95,97,97,98,98,98,98,99,99,98,99,100,100,99,99,100,101,101,99,98,96,96,97,98,98,97,96,97,97,96,96,98,99,99,97,95,93,91,89,90,91,92,92,92,91,89,87,87,88,91,96,100,104,108,107,104,103,103,103,102,102,106,108,106,104,104,106,106,107,108,108,107,107,108,109,109,109,110,108,106,106,106,107,108,108,109,110,110,110,110,110,111,112,112,113,114,116,116,114,113,113,114,112,108,103,101,99,97,97,99,102,102,101,100,102,102,100,101,103,105,103,100,99,99,100,100,101,104,108,108,105,101,99,99,100,105,108,109,109,110,112,117,121,123,122,120,120,122,124,127,128,126,122,118,118,120,122,123,123,125,128,131,134,133,132,130,128,127,127,130,132,133,134,135,136,136,136,135,134,134,134,135,134,133,132,130,129,130,133,135,134,132,132,133,132,128,127,130,132,132,132,135,138,138,136,132,128,126,129,131,132,132,132,132,133,135,135,134,133,133,134,135,130,124,122,126,132,135,135,134,133,130,129,130,134,135,136,137,138,138,137,137,136,136,135,131,128,126,127,130,133,134,135,136,136,135,134,135,136,136,136,136,134,132,131,133,136,135,132,131,133,135,136,135,134,133,130,130,129,127,123,121,122,125,128,131,134,134,133,132,132,130,126,125,127,130,128,122,119,121,121,122,125,126,127,128,131,133,132,132,133,132,130,129,130,131,133,132,132,131,131,132,134,135,137,137,136,131,129,129,132,134,135,136,137,137,136,135,136,137,139,140,140,139,139,139,139,136,134,135,137,139,140,139,139,142,143,141,138,137,139,140,137,132,131,136,139,140,141,141,137,136,137,136,133,128,126,128,130,130,128,127,128,133,138,138,133,130,131,131,133,134,137,138,139,139,139,138,136,135,137,140,141,140,140,140,140,141,138,133,131,133,139,141,141,141,142,142,141,140,140,142,144,142,140,139,142,145,146,147,149,150,149,144,146,152,146,140,143,148,149,148,148,148,143,141,143,null],[96,97,100,105,106,102,100,102,104,108,111,112,111,113,115,113,104,96,96,101,104,100,97,98,97,96,96,95,95,96,97,97,97,97,98,98,98,98,97,97,97,97,97,96,96,96,97,98,98,99,99,98,98,98,97,98,97,95,96,97,96,94,93,91,90,92,94,97,98,99,99,99,99,99,99,99,99,99,98,98,98,99,98,97,97,97,96,96,95,95,96,98,98,97,97,99,102,101,98,96,93,91,91,91,91,89,89,89,88,87,86,87,91,96,98,99,101,104,103,101,100,101,102,101,103,106,108,106,105,105,106,107,108,108,108,109,109,109,111,110,110,110,110,109,107,106,105,107,110,112,112,111,111,111,110,110,111,112,113,113,114,114,113,112,113,115,114,109,102,98,99,102,102,102,101,99,97,98,102,105,104,102,100,100,101,100,100,102,103,103,103,105,108,109,108,105,101,98,99,103,107,109,109,109,110,115,121,121,119,120,121,123,124,126,127,126,123,120,118,118,120,124,126,126,128,131,133,133,132,131,128,126,125,128,131,132,131,133,135,136,136,135,135,135,135,134,133,133,132,130,128,129,131,134,134,134,134,135,134,131,129,131,133,134,133,134,137,137,136,132,128,127,130,132,133,134,133,132,133,135,135,134,133,133,134,133,129,124,123,127,132,135,136,135,135,134,130,130,132,135,136,137,138,137,137,135,134,136,137,136,131,127,126,127,129,131,133,134,133,131,132,135,136,136,135,136,136,134,133,134,136,136,134,132,133,136,135,132,132,132,131,130,129,125,122,120,122,124,124,127,132,132,131,130,132,133,130,126,127,132,131,124,120,119,119,120,122,124,126,127,130,132,131,131,132,132,130,127,127,128,129,129,130,130,129,130,132,133,136,138,137,133,128,127,129,131,133,134,136,136,135,135,137,138,138,139,141,141,138,138,139,137,136,136,138,139,139,139,139,140,141,140,139,139,141,139,135,132,133,138,139,138,139,141,140,137,135,136,134,128,127,129,130,130,129,126,127,132,137,137,134,132,133,136,139,140,139,139,139,139,140,140,138,136,135,138,140,140,140,140,141,140,136,131,130,134,138,141,141,141,142,143,142,141,140,142,143,144,143,143,144,146,147,148,149,150,148,143,146,154,151,144,143,146,151,150,147,145,142,141,143,null],[98,98,100,106,109,107,106,107,108,110,112,114,114,115,115,114,108,100,95,100,104,101,97,96,96,96,96,96,95,97,97,97,97,98,98,98,98,97,96,97,96,96,95,95,96,97,98,98,98,98,97,97,97,97,96,97,96,94,95,97,98,96,95,91,88,88,91,96,98,100,101,100,100,100,100,100,100,99,99,98,97,96,96,95,96,97,96,96,95,96,96,98,99,100,100,101,102,100,97,94,93,93,94,95,94,91,89,88,89,89,88,90,95,99,100,100,100,101,101,101,102,103,105,104,104,105,106,105,105,105,107,108,109,108,109,110,111,111,111,111,111,111,111,109,107,105,106,109,113,114,114,113,112,112,112,112,112,113,113,113,113,113,114,113,113,115,115,112,107,104,106,108,108,106,102,97,97,99,101,102,103,101,99,98,99,101,102,104,104,104,105,107,108,108,108,108,106,102,100,102,105,108,110,109,109,114,120,120,118,118,121,123,124,126,126,126,124,122,120,118,121,125,128,129,130,130,131,132,132,132,130,125,122,125,130,131,131,132,135,137,136,135,134,136,137,135,134,134,134,131,129,129,131,132,134,135,136,136,136,135,132,131,132,133,134,134,136,137,137,134,129,128,132,134,135,135,134,134,135,136,137,135,133,132,133,133,129,124,124,127,132,135,136,135,136,135,131,130,132,133,134,135,136,137,137,135,134,135,136,135,132,130,130,129,129,129,131,132,131,130,132,135,135,135,134,135,136,136,135,134,135,136,135,134,133,134,134,131,130,130,130,129,126,123,120,120,124,127,126,127,131,132,132,131,133,135,131,126,125,131,134,128,121,117,117,119,120,122,124,126,129,130,130,129,130,130,128,126,127,129,129,128,128,128,128,129,130,131,133,134,133,131,130,130,132,134,135,136,136,135,134,135,137,138,139,139,140,140,139,138,138,137,137,138,138,138,139,140,140,138,138,139,140,142,141,138,133,132,136,138,138,136,137,139,139,136,134,136,135,129,129,131,130,130,129,127,127,131,135,136,134,133,135,139,142,142,141,140,141,140,140,139,139,137,137,137,138,140,140,141,142,140,136,131,131,135,138,140,141,141,142,144,143,142,142,143,144,145,145,145,145,147,149,149,148,149,150,145,145,151,153,149,143,146,154,155,151,149,148,147,143,null],[97,97,98,103,105,105,105,107,110,111,111,113,115,115,115,114,111,104,97,100,105,104,99,95,95,98,97,97,96,97,97,97,97,98,98,98,98,97,96,96,96,95,95,95,97,98,98,98,97,97,97,97,97,97,96,96,96,95,95,96,97,98,97,93,89,88,91,95,98,100,101,101,100,100,100,100,100,100,100,99,98,97,96,95,97,98,97,97,97,98,97,97,99,101,101,100,99,97,93,92,93,95,97,99,99,96,92,91,92,94,94,95,98,101,102,101,100,101,103,104,106,107,108,106,104,104,104,105,105,105,107,109,110,110,110,111,111,111,111,111,111,112,111,109,106,106,109,113,114,113,113,114,113,113,114,113,113,113,113,112,113,114,114,114,114,115,117,117,115,114,115,115,114,110,104,99,100,102,100,97,98,100,100,98,98,101,106,107,106,106,110,111,110,108,107,109,110,107,102,101,104,108,110,109,110,113,117,117,116,115,118,122,124,125,126,126,125,124,121,119,121,125,127,128,128,129,130,131,133,132,130,124,120,122,127,130,131,132,134,136,136,134,134,137,138,137,136,136,136,134,131,131,132,134,135,136,136,137,137,136,134,132,131,132,134,135,137,138,138,135,131,129,133,136,136,135,135,135,136,137,137,135,131,129,130,133,130,125,123,126,131,134,135,135,135,134,132,132,133,133,133,134,136,137,138,137,135,134,133,131,131,132,134,133,129,129,132,131,131,131,133,134,134,133,133,134,136,136,135,134,134,134,135,135,134,133,134,133,131,129,127,126,124,121,118,119,127,133,132,130,131,134,135,134,135,134,131,126,124,129,134,132,126,120,118,119,119,120,122,125,126,127,127,127,127,127,126,127,128,130,130,128,127,126,127,129,130,130,129,129,127,127,129,131,133,136,137,137,135,135,135,136,137,139,140,140,140,140,139,138,138,138,138,138,138,138,140,141,142,139,138,140,142,142,140,136,132,133,137,138,137,136,137,139,139,136,133,135,134,129,129,131,132,131,129,129,129,129,133,136,135,134,134,139,141,140,140,141,142,141,139,139,139,140,139,138,138,139,140,141,142,141,137,133,133,137,140,141,141,142,143,144,144,143,144,145,145,145,144,144,146,149,152,151,147,150,153,149,146,149,152,150,144,146,156,160,159,157,156,152,145,null],[95,95,96,98,99,99,99,101,106,110,111,112,114,115,115,115,113,108,103,103,107,108,103,96,96,99,100,99,97,96,95,95,96,97,98,98,97,96,96,95,95,96,95,95,96,97,97,97,97,98,97,97,97,97,97,97,96,95,95,97,99,99,97,93,91,91,93,95,96,98,99,98,97,97,97,97,99,100,99,99,99,98,97,98,99,99,99,99,100,101,101,100,100,101,100,99,96,93,91,91,93,96,97,100,102,100,96,95,96,97,98,99,100,101,100,100,102,104,104,105,107,108,108,106,104,104,104,105,105,104,105,108,111,112,111,111,109,110,111,111,111,111,111,110,109,110,111,113,113,112,112,113,112,113,114,114,113,112,112,112,112,112,112,113,115,118,120,121,122,122,121,120,118,113,106,100,101,104,100,96,96,100,100,97,97,102,110,115,114,114,117,119,117,113,111,110,109,106,102,102,105,109,110,110,110,111,112,113,113,114,116,120,123,125,126,127,126,125,120,117,120,123,123,124,125,127,130,132,133,131,127,123,121,122,125,129,130,130,132,134,135,134,134,135,136,137,137,136,136,135,133,133,135,137,137,136,135,135,135,135,134,132,131,132,134,135,137,138,138,137,132,130,132,135,137,136,135,135,134,135,135,133,130,128,129,132,130,124,122,124,129,132,134,136,135,134,134,133,133,134,134,135,136,137,137,137,137,135,133,132,133,136,136,133,129,130,133,135,134,133,134,134,133,133,133,134,135,136,135,134,132,133,133,135,135,135,135,135,132,128,125,124,123,120,118,122,130,135,134,131,130,133,136,136,136,134,131,127,125,128,133,133,132,129,125,121,119,119,120,122,123,124,125,126,127,127,128,128,128,128,127,125,124,125,127,129,129,128,126,124,124,124,126,126,128,130,132,132,133,134,137,138,138,141,141,140,141,141,139,137,138,139,139,139,139,140,141,142,143,141,140,140,140,140,139,137,133,135,138,139,138,138,138,140,140,137,134,133,132,129,130,131,132,132,131,132,130,128,131,136,138,137,135,135,136,138,139,139,140,140,140,140,141,141,141,139,139,139,140,141,142,142,138,134,134,138,142,143,143,144,145,145,144,143,144,145,145,143,143,144,146,150,154,153,149,151,153,152,148,148,151,151,145,145,153,160,163,161,157,151,145,null],[94,93,94,95,94,95,93,95,101,108,112,112,112,114,116,115,113,110,108,106,107,108,104,99,98,101,101,101,98,96,94,94,95,96,97,97,97,97,96,95,95,96,95,95,96,96,96,96,96,98,97,97,97,97,96,97,96,96,97,97,97,97,95,92,91,93,95,96,95,95,95,94,94,93,92,93,96,98,98,98,99,100,100,100,100,101,100,100,102,104,103,101,99,98,97,95,92,91,91,93,95,97,97,100,102,101,99,98,98,100,102,102,100,98,98,99,103,106,105,104,105,106,106,105,106,106,105,105,105,105,105,108,111,112,112,111,110,111,111,110,109,110,111,112,112,112,112,112,112,111,111,111,111,111,113,114,114,114,113,112,112,112,112,113,118,122,124,124,125,126,126,124,120,113,106,102,102,103,100,97,97,100,101,98,97,104,114,122,125,125,125,124,121,117,114,111,107,103,102,104,107,109,110,109,108,108,108,110,112,114,116,119,122,125,126,126,124,121,118,117,121,123,123,122,124,127,130,132,133,130,125,123,125,126,127,128,128,129,130,132,133,134,135,134,134,134,135,135,134,134,134,135,137,138,136,135,134,134,134,135,135,135,134,134,134,134,135,136,137,136,134,131,131,134,137,137,135,134,133,133,133,132,131,130,130,130,128,124,122,122,126,131,135,136,136,135,135,134,133,134,135,136,136,136,137,138,137,136,134,134,135,137,136,133,131,131,134,137,137,135,134,134,133,133,134,135,135,136,135,134,134,134,133,135,136,137,137,137,132,126,122,122,123,121,122,127,133,135,134,131,131,133,134,135,135,134,130,126,125,128,131,132,134,136,132,127,122,121,121,121,122,123,124,125,127,129,130,129,127,124,123,123,122,125,126,126,125,125,124,123,124,123,123,123,124,125,126,127,129,131,134,137,140,140,140,139,140,140,139,138,139,140,140,141,141,142,140,140,141,141,140,139,138,137,137,136,132,135,139,139,138,137,137,139,141,139,135,131,129,130,131,131,131,131,132,134,132,130,129,133,139,140,137,134,134,136,137,138,138,139,140,140,141,141,141,140,139,139,141,142,142,142,139,135,134,137,140,142,141,142,143,144,142,140,140,141,141,142,143,144,146,149,153,153,152,152,154,152,150,149,150,149,146,147,152,157,160,159,155,150,147,null],[96,94,95,94,94,95,94,93,98,106,113,113,112,113,115,116,114,112,110,108,106,106,104,102,102,102,102,100,98,97,96,96,97,97,96,97,98,98,97,96,95,95,96,96,96,96,96,97,97,97,96,96,96,96,95,95,95,97,98,98,96,94,93,93,93,94,97,97,96,93,91,91,91,91,89,89,92,94,96,97,98,100,100,98,99,99,99,100,101,102,101,98,96,94,93,91,90,91,93,96,97,98,98,99,100,100,99,99,99,101,103,101,98,97,98,101,103,105,106,106,105,104,104,106,108,108,107,106,107,107,107,108,110,110,111,111,112,112,110,108,108,109,111,112,113,113,112,112,112,112,111,110,110,110,112,114,116,117,115,113,113,114,114,116,120,124,126,126,126,128,128,127,121,114,107,103,103,102,100,99,100,102,102,101,101,106,118,127,131,130,128,123,120,117,114,110,104,101,101,104,107,108,109,109,108,107,108,110,112,114,116,118,120,122,123,121,118,116,117,121,124,125,125,126,126,127,128,131,132,128,123,124,129,131,129,129,130,130,130,131,133,135,136,136,135,133,132,132,132,132,134,136,138,137,135,135,135,134,134,135,138,138,137,135,135,134,133,135,136,136,135,133,132,134,137,137,135,134,134,135,134,135,135,135,133,130,128,126,124,122,124,129,134,137,137,136,135,134,133,133,134,135,135,135,136,138,137,137,136,136,136,136,136,136,134,132,133,137,139,137,135,135,133,134,134,135,135,136,135,135,135,135,134,134,135,136,138,137,131,123,121,121,122,124,128,133,137,136,132,132,134,134,134,134,134,133,128,124,123,127,131,130,132,136,136,134,130,127,124,123,123,125,124,124,125,127,129,127,125,123,122,122,123,124,123,122,122,124,124,124,124,124,123,123,124,123,123,124,126,127,129,134,137,138,136,137,138,139,140,140,140,141,141,142,142,141,139,138,138,139,138,137,137,136,135,133,131,134,140,139,137,136,135,137,139,138,135,130,129,132,133,132,130,130,131,133,134,133,130,129,135,140,139,137,136,137,137,137,140,140,139,139,140,141,141,140,139,139,142,143,142,143,141,137,134,133,135,136,136,136,137,138,138,136,134,135,137,141,144,145,145,147,149,151,153,154,153,150,149,151,150,148,146,148,153,153,154,155,156,153,150,null],[98,96,99,97,96,95,94,95,102,108,113,114,114,115,116,116,115,113,110,108,108,108,106,104,105,105,100,99,100,101,99,97,96,96,96,97,98,98,96,97,96,96,96,97,97,96,97,98,98,98,96,95,95,95,95,95,94,95,97,105,111,103,90,91,96,97,99,99,97,94,91,92,93,92,90,89,89,91,94,95,96,97,97,96,96,96,95,96,97,96,94,93,92,91,91,91,91,93,96,99,99,98,98,98,99,99,100,101,102,102,101,98,95,99,103,105,104,105,107,108,106,105,105,107,109,109,107,105,106,106,107,108,110,111,112,112,112,111,111,109,109,109,110,112,112,112,112,113,112,111,109,109,109,110,112,114,116,117,114,113,114,116,117,118,120,123,125,126,127,129,128,125,122,119,114,107,104,106,106,105,106,106,105,104,105,112,122,131,132,129,125,122,121,119,116,110,103,100,101,103,104,106,108,109,108,108,109,111,112,114,116,117,118,118,118,117,116,118,121,124,125,125,126,127,127,126,126,127,128,125,121,124,130,131,130,131,132,132,132,133,134,135,137,137,136,134,131,129,130,132,135,137,136,134,134,136,137,134,132,133,134,135,134,134,135,134,133,133,135,136,135,134,133,134,136,137,136,135,135,135,135,136,138,138,134,129,128,130,128,125,123,128,133,135,136,137,137,135,134,134,135,136,136,136,137,137,137,137,138,138,136,136,137,138,136,132,131,135,138,137,137,135,134,134,136,136,135,135,135,135,135,134,132,131,131,131,132,132,128,123,122,121,122,126,131,135,137,136,134,134,136,136,135,135,134,132,128,123,123,128,133,133,132,133,136,138,137,134,129,124,122,123,123,123,124,125,124,124,124,124,124,124,124,123,120,120,122,122,123,124,125,125,125,126,127,125,124,124,124,125,126,129,133,134,134,135,137,140,141,141,140,140,139,140,140,139,139,138,138,138,138,138,138,137,135,131,129,133,140,140,139,138,137,137,135,133,130,129,131,136,135,132,130,128,129,130,133,135,131,129,131,136,139,140,141,141,139,139,141,141,138,139,141,142,142,141,140,140,142,142,142,143,142,138,134,131,132,134,135,135,134,135,135,135,135,134,135,138,143,146,147,147,147,150,153,154,151,148,149,151,152,149,145,148,153,155,155,156,157,156,150,null],[99,100,104,102,98,97,97,101,109,113,114,114,116,116,115,115,115,113,110,110,111,113,110,106,107,106,99,98,102,105,103,98,96,96,96,97,98,96,96,97,97,97,97,97,97,97,97,98,99,98,96,94,95,95,95,93,94,96,103,103,95,94,99,99,97,97,99,100,98,95,93,94,95,96,94,92,90,90,92,93,94,95,95,94,93,93,92,93,93,92,91,90,91,92,94,95,94,95,96,98,99,98,97,96,97,98,100,102,104,103,99,96,97,103,107,108,106,106,108,110,108,107,107,108,108,107,106,106,105,106,107,109,111,113,113,112,110,110,111,110,110,110,111,111,112,112,113,113,112,110,109,109,110,110,112,114,115,115,115,114,113,115,118,120,121,123,125,126,129,130,127,123,123,123,117,109,107,112,113,111,109,108,106,106,109,118,128,132,129,124,121,121,123,124,120,111,104,101,101,101,102,106,108,109,109,109,110,111,112,112,114,116,116,114,113,114,117,122,124,125,125,125,126,126,125,123,123,123,124,121,120,123,126,127,128,131,132,131,132,133,135,135,136,137,137,135,131,128,128,131,134,133,131,130,133,135,136,133,130,129,129,130,131,133,135,135,135,134,134,136,135,134,134,134,135,136,137,136,135,135,135,135,136,136,133,129,131,133,132,126,123,127,132,135,136,137,138,137,134,134,137,137,137,137,138,137,136,137,138,138,138,137,137,137,135,132,130,133,136,137,136,135,135,136,138,138,136,135,134,134,133,131,129,129,128,127,127,127,125,124,124,122,122,126,130,132,134,134,134,135,137,137,136,135,133,131,129,126,125,130,135,136,135,134,137,139,139,138,133,125,121,121,121,122,123,123,121,121,124,126,125,124,124,123,121,122,123,123,123,124,124,125,126,128,129,128,126,124,123,124,124,126,129,132,134,135,137,139,141,140,139,137,137,137,137,137,138,139,139,138,138,138,138,136,134,130,129,133,138,141,141,139,138,137,133,130,129,128,133,138,137,133,132,131,129,128,130,133,133,131,129,130,134,140,143,143,141,141,141,140,138,139,141,142,142,143,141,139,141,141,142,143,142,139,135,133,133,134,136,137,137,136,136,138,140,139,135,134,140,145,148,148,147,147,149,149,148,148,150,151,153,150,146,145,151,157,159,158,158,156,151,null],[101,103,107,104,101,101,103,108,113,116,115,116,116,115,114,114,115,113,112,112,113,114,112,109,109,107,99,98,103,106,104,98,96,96,96,96,96,95,95,96,97,97,97,97,98,97,96,96,97,96,95,93,94,95,93,90,92,105,129,104,39,58,119,114,92,95,98,99,96,94,94,96,97,98,97,95,92,92,93,93,93,94,94,92,91,91,91,92,93,92,92,92,92,95,98,98,95,94,95,99,101,100,97,94,94,96,99,101,102,101,99,98,100,105,108,108,106,107,109,110,109,109,109,108,107,107,108,107,107,107,108,109,111,112,111,110,110,111,111,110,110,111,112,113,113,114,114,113,112,111,111,111,111,110,112,113,115,116,117,116,113,113,117,122,126,127,127,128,130,129,125,123,124,120,114,110,113,116,116,111,107,105,106,106,113,124,131,132,127,124,123,124,126,128,124,115,106,102,101,100,103,106,108,108,109,109,109,110,110,110,111,113,113,113,112,113,117,121,122,122,123,125,126,125,123,120,120,121,121,120,120,121,122,122,125,129,129,129,130,132,133,134,134,135,135,133,130,126,125,128,129,127,126,128,130,131,131,130,129,129,129,131,132,134,135,136,136,135,134,135,135,135,135,135,135,136,136,136,135,134,134,133,133,132,131,131,134,136,133,126,122,126,134,137,137,138,139,138,135,135,137,138,138,139,139,138,137,137,138,139,139,138,136,135,134,132,131,133,136,136,135,134,135,137,138,138,137,136,134,132,130,128,127,129,131,128,126,126,124,124,125,123,122,123,126,128,130,130,131,135,137,137,136,135,131,129,132,132,129,129,132,136,138,139,139,139,138,138,136,129,124,122,120,120,122,123,122,121,123,125,124,123,125,127,127,125,125,126,125,125,124,126,128,129,130,130,128,124,122,122,123,124,127,131,134,135,135,137,139,137,134,134,135,136,137,136,136,137,140,138,137,137,137,135,131,128,130,133,137,141,141,137,136,135,135,135,133,130,133,140,139,136,136,136,134,129,128,132,135,134,131,128,130,136,141,142,143,142,140,139,140,140,140,141,142,142,140,139,140,142,143,143,142,140,139,138,136,136,137,140,142,141,140,140,145,143,135,134,138,142,145,146,144,143,142,144,148,151,152,152,151,150,147,145,147,153,158,157,156,154,153,null],[103,106,107,103,100,102,105,109,112,113,114,115,115,114,113,113,113,113,113,113,113,115,114,113,112,109,103,100,100,101,101,97,95,95,96,96,96,95,95,95,96,96,96,96,97,96,95,95,96,96,93,92,93,93,96,100,109,59,-103,-184,-85,21,62,79,83,94,97,95,94,94,96,97,97,97,97,96,94,94,94,94,94,94,94,93,93,94,94,95,96,96,95,94,95,97,99,99,97,94,96,100,102,100,95,92,92,95,97,98,98,98,99,100,104,107,107,106,107,109,111,111,109,109,109,107,106,107,106,107,109,110,109,109,110,110,110,111,113,113,112,110,110,111,112,113,114,114,113,113,112,111,112,112,111,110,111,113,115,119,121,120,116,114,116,122,127,128,127,128,128,127,125,127,128,123,117,116,119,120,119,114,109,108,108,108,113,123,129,130,128,126,126,126,126,126,122,114,108,104,102,101,102,106,107,108,109,109,109,108,107,106,107,109,110,111,112,114,117,118,119,121,123,125,126,125,122,118,118,121,124,124,124,123,121,121,124,127,128,129,130,131,132,133,134,133,133,131,128,124,122,124,126,126,126,127,128,128,127,128,130,131,133,134,134,134,134,134,135,134,134,134,135,135,135,135,135,135,135,135,135,135,134,133,132,131,131,133,137,137,133,125,121,125,133,137,138,138,139,138,137,136,137,138,138,139,139,138,137,136,137,138,139,138,136,135,136,135,132,132,133,135,134,133,135,135,136,137,138,137,136,133,130,128,128,131,134,131,129,130,127,125,124,123,121,121,124,128,128,128,131,135,137,137,135,132,130,131,135,135,131,128,128,132,136,138,139,138,137,138,138,134,131,128,124,121,121,125,127,125,123,124,124,125,126,130,132,130,128,130,129,128,128,131,133,131,131,134,133,127,124,123,123,123,125,130,133,134,133,133,133,134,133,135,137,138,139,138,135,137,139,138,136,136,136,133,130,130,133,135,138,139,139,137,136,136,137,138,136,132,134,139,140,138,139,139,138,134,130,131,134,136,133,129,127,131,136,139,142,142,141,140,140,139,139,140,141,140,140,141,142,144,144,143,143,142,141,140,138,138,140,143,145,145,142,140,144,143,137,136,139,141,142,142,142,141,143,146,150,151,151,151,152,150,148,146,146,150,155,155,151,148,151,null],[105,106,106,102,99,100,102,104,107,107,109,112,113,112,112,112,112,112,113,113,113,115,116,115,114,112,108,103,98,97,97,95,94,94,95,96,96,95,95,95,96,96,95,95,96,95,95,96,97,96,94,92,92,94,96,99,93,79,24,1,38,71,79,87,88,95,95,93,94,96,97,97,96,95,95,95,94,94,93,94,95,94,94,95,96,97,97,98,98,98,96,95,95,96,97,98,98,96,98,100,101,97,93,90,92,96,97,95,95,96,98,101,105,107,107,105,106,110,112,111,109,107,106,105,105,106,104,106,110,112,111,108,106,108,111,114,115,114,113,112,112,112,112,113,113,113,112,113,112,111,111,112,112,111,113,115,119,123,125,124,120,116,116,119,122,124,124,124,125,127,128,131,132,130,127,125,124,123,122,120,117,116,115,113,114,119,124,128,130,129,128,126,125,122,118,112,108,107,104,101,100,103,106,108,109,110,108,107,105,104,104,106,107,108,110,114,117,118,120,122,124,124,125,125,122,118,118,122,126,128,127,126,125,124,125,127,129,131,132,132,131,132,133,132,131,130,126,122,120,123,127,130,130,129,129,129,128,130,132,134,136,136,134,132,131,132,134,135,134,134,136,137,136,135,135,135,135,134,136,136,134,133,134,134,135,136,138,138,133,126,122,124,129,133,136,137,138,138,137,137,138,138,138,138,138,138,137,136,136,137,138,138,137,137,139,138,134,131,131,134,135,134,134,134,134,136,137,137,137,136,133,129,130,133,135,133,133,135,131,125,123,122,122,124,127,131,131,130,133,136,138,137,133,129,130,134,137,136,132,128,127,128,130,133,136,137,138,139,139,137,137,135,130,123,123,127,132,130,126,124,125,128,128,131,134,133,132,133,133,133,136,139,139,134,133,136,136,131,128,126,125,122,123,127,130,132,131,129,129,131,134,137,139,141,142,140,137,138,139,138,137,135,135,134,132,133,136,138,140,139,138,138,137,138,139,138,135,131,134,139,140,139,139,140,140,137,134,132,133,134,135,131,128,129,132,134,138,141,141,140,139,137,137,140,141,140,141,143,145,145,144,144,145,144,142,140,140,141,143,145,147,146,143,141,141,140,138,139,142,143,141,139,140,143,147,150,150,149,148,151,153,151,148,147,149,152,153,152,146,144,147,null],[103,104,104,103,100,99,98,98,99,100,102,107,109,107,108,111,111,111,112,112,113,115,116,117,114,112,111,109,105,100,97,93,93,95,96,96,96,96,96,95,96,97,96,94,95,96,96,96,96,96,96,94,91,98,85,93,89,89,89,89,89,89,113,239,117,93,94,96,96,97,99,97,96,95,94,94,94,94,94,94,95,95,94,95,95,97,98,97,95,95,94,93,94,94,95,96,98,99,99,99,97,94,92,93,95,99,98,95,95,98,99,100,103,106,107,105,104,107,109,110,108,107,105,104,104,105,105,107,111,113,110,105,105,109,113,116,115,114,112,113,113,111,110,110,111,112,113,114,115,112,111,111,112,115,119,122,126,127,128,127,123,119,117,117,118,120,121,122,125,128,130,132,134,134,132,129,125,123,123,124,124,123,123,122,121,120,122,127,130,130,128,128,126,122,118,113,110,108,105,100,98,101,104,106,108,108,107,107,106,105,103,103,105,105,107,112,117,120,122,124,125,126,126,126,123,120,119,121,124,125,124,125,126,127,127,128,129,131,132,132,131,131,131,130,130,131,128,124,121,124,129,132,132,131,131,131,132,134,135,136,136,135,132,131,132,133,135,137,137,136,137,138,137,136,136,135,135,135,136,136,134,134,136,137,138,139,140,137,131,126,124,125,127,129,131,133,136,137,137,138,138,137,138,139,140,140,139,137,135,136,137,138,138,138,139,138,137,134,133,134,136,136,136,136,136,136,137,136,137,136,134,132,132,134,136,135,137,137,132,125,123,121,122,127,132,135,134,133,135,137,137,136,134,132,134,136,136,134,134,133,131,129,127,129,133,136,136,137,138,137,138,136,130,125,126,131,134,133,129,125,125,128,130,130,131,133,135,137,137,138,140,142,141,136,133,135,138,135,132,129,127,124,123,123,126,129,130,130,130,132,135,138,141,142,141,139,138,139,139,138,136,135,135,135,134,135,136,137,138,140,139,138,137,139,140,137,132,129,133,139,139,137,138,139,140,139,135,132,132,134,135,133,129,129,131,132,135,139,139,137,138,138,139,142,142,142,143,145,143,143,143,144,146,145,143,142,143,145,147,148,148,149,148,146,142,140,141,141,141,143,144,142,141,141,145,148,148,146,147,150,152,149,146,148,153,154,152,149,144,142,143,null],[101,101,102,103,102,98,95,95,95,96,97,101,104,105,108,111,110,110,111,112,114,115,116,116,114,112,113,115,112,105,98,95,95,95,94,94,95,96,96,95,96,97,96,95,95,95,95,95,95,95,97,96,93,100,79,90,90,89,90,90,90,90,122,304,125,92,95,101,99,96,97,96,95,96,94,93,93,94,94,93,93,93,93,93,94,94,95,94,92,92,92,92,92,93,94,95,96,100,101,99,96,94,95,97,100,103,101,97,99,102,102,101,103,105,106,104,103,105,107,108,108,107,105,105,104,105,107,111,112,111,109,106,106,111,114,116,115,113,112,113,113,111,109,108,109,111,113,115,115,114,113,114,117,120,125,128,129,128,128,127,123,119,117,116,117,120,123,123,124,127,127,129,131,132,130,129,126,125,125,128,128,126,126,129,127,123,123,127,130,131,131,131,130,127,121,116,113,111,107,102,99,100,102,104,105,106,107,108,108,108,106,104,106,107,108,110,115,121,124,124,124,124,125,125,124,123,121,120,120,120,120,121,125,127,128,129,130,130,129,130,130,129,128,127,128,130,128,124,122,125,129,131,131,130,131,132,134,135,136,136,135,133,131,132,135,136,137,139,139,138,138,137,135,134,135,135,135,135,136,135,135,135,137,138,139,139,137,133,129,128,129,127,125,125,127,129,132,135,137,138,138,137,137,138,138,139,139,136,134,135,136,138,139,139,139,139,138,136,135,135,136,137,138,138,138,138,137,136,136,135,134,133,133,135,136,136,137,136,130,124,123,122,123,128,134,136,136,136,137,136,135,134,135,136,138,137,134,134,136,136,135,132,130,128,130,133,135,137,138,136,135,133,128,127,131,134,135,135,131,126,124,127,130,129,128,131,135,138,139,140,141,141,139,135,132,133,137,138,135,131,130,127,124,122,123,127,130,131,132,133,133,136,139,140,139,137,137,139,140,139,137,137,136,135,136,136,135,135,137,141,140,136,136,138,139,136,130,127,131,138,139,137,136,138,139,137,133,132,134,135,135,132,130,130,131,131,134,137,136,135,138,140,141,142,143,143,143,143,141,140,142,144,145,145,144,144,145,145,146,145,147,149,152,151,145,143,145,142,137,140,146,148,145,141,141,143,145,146,148,151,152,150,148,149,152,154,153,150,147,144,142,null],[98,100,101,102,100,96,94,96,96,95,95,96,101,107,113,113,111,110,111,114,115,116,116,115,115,114,115,117,114,105,100,99,97,94,92,93,93,95,95,94,95,96,96,96,95,94,94,94,94,94,93,93,95,95,87,90,89,90,90,90,90,90,98,144,99,93,96,102,99,95,94,95,95,97,95,94,94,94,93,92,91,92,92,92,92,92,92,91,91,92,92,92,94,96,95,94,97,101,103,102,100,98,98,101,105,105,103,102,104,106,106,104,104,104,105,106,105,106,108,109,108,107,106,106,106,108,111,113,112,110,110,110,111,112,114,115,115,113,112,112,112,112,110,109,109,112,115,115,114,113,117,123,125,126,129,129,128,126,125,125,123,120,119,117,118,124,128,125,123,123,123,125,127,127,127,128,129,129,129,130,131,128,127,130,129,126,125,128,131,133,134,133,133,131,124,119,117,114,110,106,102,100,101,102,105,107,109,109,110,111,111,109,110,112,112,110,111,117,121,120,120,121,123,124,124,125,123,119,118,118,118,120,123,124,126,128,129,129,127,127,129,128,126,124,125,125,125,122,122,124,127,127,127,128,129,132,133,133,134,135,134,131,130,132,136,138,138,139,139,137,136,135,133,132,133,134,135,136,136,137,137,137,138,139,138,135,132,129,129,131,134,130,125,123,123,125,128,132,135,137,138,137,135,134,134,135,136,135,134,135,136,138,139,140,141,140,138,137,135,135,136,138,138,138,139,139,138,136,136,136,134,133,134,135,136,135,135,133,127,124,124,124,124,127,132,135,136,137,138,137,135,134,135,137,139,138,135,135,137,136,134,136,134,130,128,130,135,139,139,136,134,132,128,128,134,137,137,136,132,127,125,127,130,130,129,131,135,138,140,142,140,138,136,134,133,134,137,140,138,134,132,128,125,123,124,126,128,130,132,132,132,132,135,137,137,135,137,139,141,140,139,138,137,136,137,138,137,137,138,141,139,135,135,137,138,135,130,125,129,138,140,138,138,138,137,134,132,133,136,137,136,133,131,130,130,131,134,136,136,137,140,141,140,141,141,141,139,138,138,139,141,143,144,144,146,145,142,141,141,143,144,145,149,152,147,147,148,143,135,137,145,151,150,144,141,142,145,147,148,151,154,155,154,150,148,151,153,152,149,146,143,null],[97,100,99,98,95,93,93,95,95,95,95,96,101,110,114,113,112,111,112,114,115,116,116,115,114,115,117,118,115,107,103,102,98,93,93,93,93,93,93,93,94,95,95,96,95,93,92,93,96,95,85,81,92,91,89,89,89,90,90,89,89,90,91,91,93,94,96,100,97,96,95,95,95,96,97,96,95,94,93,92,91,90,91,92,92,91,91,92,92,93,93,93,95,98,97,96,97,99,102,103,104,101,98,102,108,108,106,107,108,109,108,106,104,104,106,108,108,108,108,108,107,105,104,105,108,111,113,114,113,112,112,113,113,113,113,114,114,113,112,111,112,113,112,111,112,115,116,116,114,115,121,128,130,129,130,130,128,125,123,124,125,124,122,119,119,125,129,128,126,126,125,126,126,125,127,129,131,133,133,134,134,131,130,131,131,129,129,130,131,131,130,129,130,131,125,120,119,117,113,109,104,101,100,102,106,109,110,109,110,112,112,111,113,117,117,112,108,111,114,117,120,122,123,123,124,124,123,120,118,117,117,120,122,123,124,125,126,126,124,125,127,127,125,124,123,122,121,121,122,125,128,128,128,128,129,131,133,133,134,134,133,130,129,130,134,137,138,139,137,134,132,132,132,133,134,135,135,136,136,137,139,140,139,137,135,132,130,129,130,134,137,135,129,125,123,124,125,127,130,134,135,135,133,131,132,134,134,135,135,136,137,138,139,141,141,140,138,136,136,135,136,137,138,139,139,138,138,137,137,136,134,133,133,135,136,135,132,128,124,123,124,124,124,126,129,133,137,139,139,138,136,135,135,137,139,139,138,137,139,137,136,137,136,132,128,129,136,140,140,138,136,135,131,130,136,138,137,137,135,128,125,126,129,131,133,133,136,139,142,141,139,136,136,135,134,135,138,140,140,137,132,128,124,123,123,123,124,126,130,131,131,130,131,133,134,136,139,140,140,139,138,138,136,136,139,140,138,138,139,140,138,135,136,137,137,133,128,125,130,138,139,138,138,138,136,132,131,134,138,139,138,136,134,131,130,130,132,132,134,136,137,137,136,137,137,136,135,135,136,138,139,139,140,143,144,143,139,139,143,146,145,140,144,151,152,150,148,142,136,136,142,149,151,147,142,142,146,147,147,149,154,157,155,150,148,149,150,149,147,144,141,null],[96,98,97,96,94,91,91,92,94,95,96,99,103,110,112,112,112,112,112,113,115,116,116,115,114,115,118,118,115,111,108,103,99,95,95,95,93,91,90,92,93,94,95,94,94,94,93,92,99,101,86,75,90,89,89,89,89,90,90,89,89,90,91,93,95,96,97,97,97,98,97,96,95,96,97,97,96,95,94,93,92,91,90,92,92,93,93,93,93,94,94,94,95,97,98,99,99,99,101,103,105,103,99,103,109,109,108,109,110,110,108,105,103,104,108,109,109,107,106,106,105,103,103,105,108,110,113,114,115,114,113,114,114,113,113,112,113,113,112,112,113,114,112,112,114,116,116,116,116,117,122,127,128,127,128,130,129,125,122,125,128,129,125,120,118,122,126,129,131,133,133,131,129,129,131,133,135,136,136,136,135,134,133,133,133,132,132,131,129,125,122,121,124,126,123,120,119,117,112,108,104,101,99,103,108,111,110,109,109,109,109,110,114,118,118,114,110,108,109,114,119,123,123,122,122,122,122,122,121,118,117,120,124,124,123,123,123,123,124,125,127,126,125,124,122,120,120,122,124,127,130,131,131,130,131,131,133,133,134,134,133,130,128,128,130,134,137,138,134,130,129,131,134,135,136,136,136,136,136,137,139,140,138,134,132,133,134,133,132,134,138,138,135,130,126,125,126,127,127,129,130,130,130,130,133,136,136,136,137,137,137,138,140,140,140,139,137,137,137,136,136,136,138,139,139,138,137,138,138,137,134,132,133,135,136,135,132,127,125,125,125,124,123,125,129,133,137,140,140,140,139,138,137,137,139,140,140,140,141,140,138,137,135,132,129,131,136,140,141,141,140,138,133,132,137,138,136,138,136,129,125,125,127,132,137,136,137,139,140,140,137,137,138,137,136,136,139,140,140,137,132,127,124,124,122,121,120,122,126,129,129,129,129,130,132,135,140,140,138,138,138,137,136,137,140,141,139,138,139,139,138,136,137,138,136,130,125,127,132,137,137,137,138,137,134,133,133,135,137,139,140,138,136,134,133,131,129,129,130,131,132,132,133,134,134,132,132,133,134,135,135,135,137,140,140,138,138,141,147,151,148,141,142,149,153,152,147,140,137,137,141,146,149,148,145,145,147,145,145,147,151,154,154,151,149,149,148,144,143,142,139,null],[95,96,98,98,96,92,90,90,92,95,98,102,106,110,111,112,112,112,112,113,115,115,114,114,115,117,118,117,114,114,111,104,100,98,96,94,94,92,89,90,91,93,94,93,92,95,94,91,100,109,89,86,89,89,90,90,90,90,90,89,89,90,92,97,100,99,96,96,98,98,96,95,95,96,98,98,97,96,95,94,93,92,91,92,93,94,93,93,94,94,94,95,95,97,98,100,102,102,103,104,105,104,104,106,109,109,107,109,110,110,108,104,102,105,110,111,107,105,105,105,104,104,105,107,107,107,111,115,116,115,114,115,116,115,113,113,113,113,112,112,113,113,112,112,115,117,118,118,119,119,121,124,123,123,127,129,128,124,123,126,129,129,126,121,118,118,123,129,133,135,136,135,133,132,134,135,136,136,135,135,135,135,134,133,133,133,132,129,125,122,120,119,119,121,120,118,116,113,111,108,105,101,99,101,107,111,110,108,106,106,106,109,114,116,116,114,112,111,110,112,115,117,118,120,121,120,122,125,124,121,118,120,124,124,122,121,121,122,124,125,126,126,125,124,121,119,121,124,126,128,130,131,133,133,132,132,133,134,134,134,134,132,128,126,127,132,136,135,130,127,129,132,135,135,135,136,137,137,136,135,136,138,137,132,131,135,137,135,133,133,137,140,140,135,129,127,129,131,129,126,125,126,128,130,134,137,138,138,138,139,139,140,140,139,139,138,138,138,137,137,136,137,138,140,140,138,138,137,137,136,135,134,133,135,137,136,134,131,129,127,126,124,123,126,130,134,137,138,140,142,143,143,141,139,139,140,142,143,143,142,141,139,134,129,127,130,135,139,141,142,141,137,133,133,138,139,136,136,134,128,125,124,125,129,136,139,137,136,136,137,138,139,140,140,138,137,140,141,140,137,132,127,126,126,124,122,121,122,123,124,126,127,127,127,129,131,135,138,139,140,140,138,137,138,141,141,140,139,139,140,139,137,138,138,136,129,124,128,132,134,134,136,137,135,132,134,136,137,137,138,139,139,138,139,138,134,130,129,128,129,130,130,132,132,131,129,130,130,129,130,132,133,135,136,137,136,137,139,144,149,150,146,143,145,150,152,146,140,139,140,143,146,147,148,149,150,148,144,143,146,148,151,154,151,147,146,146,144,144,144,141,null],[95,96,98,99,96,92,90,91,92,95,99,104,108,112,113,113,112,111,112,114,115,113,113,113,114,116,117,116,114,114,112,107,105,105,101,98,97,94,92,90,90,92,92,91,91,94,94,91,97,105,90,89,89,90,90,90,90,90,89,89,90,91,94,102,101,97,96,97,99,97,95,95,96,96,97,97,97,97,96,94,93,93,92,92,93,94,93,93,94,94,94,95,96,98,100,102,104,106,107,106,107,107,108,108,109,108,108,108,109,110,107,103,102,105,109,108,106,104,105,105,105,105,107,107,106,106,111,116,116,115,114,116,118,117,115,114,113,113,112,113,113,112,112,114,117,120,121,120,119,120,121,122,121,123,127,128,125,123,124,128,131,130,128,124,119,117,120,127,130,132,135,136,135,134,134,135,135,134,134,133,133,133,132,130,129,128,127,124,123,123,124,121,119,118,118,116,113,110,108,106,105,104,100,100,104,108,107,105,104,104,105,108,112,114,114,114,115,115,113,111,112,113,113,116,117,118,121,124,124,120,117,118,122,125,123,120,120,122,123,123,123,124,124,123,121,121,123,126,127,128,130,131,132,133,132,131,132,133,133,134,134,132,129,126,126,130,132,131,128,128,130,133,133,134,136,137,138,137,135,135,136,137,136,132,132,136,139,138,135,134,137,141,141,137,130,128,131,135,134,130,127,125,126,128,131,136,139,140,139,140,140,140,140,138,138,139,139,138,138,138,137,137,138,140,140,139,138,138,137,136,136,135,135,136,138,136,136,135,131,128,126,124,123,126,131,136,137,138,140,143,143,143,141,141,141,142,143,143,142,143,142,139,134,129,128,131,135,139,141,141,138,135,132,134,138,137,133,131,130,127,127,126,124,126,133,139,139,137,136,137,139,140,140,139,139,139,140,141,139,136,132,129,128,127,125,124,125,125,123,122,123,124,126,127,127,127,129,134,139,142,142,140,138,139,140,141,141,140,139,140,139,137,138,137,134,129,126,127,130,132,135,137,138,133,130,135,140,138,136,137,138,139,137,139,140,138,135,133,129,127,128,130,132,133,131,129,129,130,128,128,130,132,133,135,137,138,140,140,140,143,147,148,146,144,149,151,146,143,143,143,145,147,146,147,151,151,148,145,145,146,147,148,150,149,146,144,143,142,143,144,143,null],[97,96,97,97,94,91,91,92,94,95,98,103,110,114,116,114,113,112,113,114,114,112,112,113,113,114,116,116,115,112,110,110,112,112,110,106,102,98,95,92,92,92,92,92,91,92,92,92,91,91,90,89,89,89,89,89,89,89,90,90,91,92,96,100,99,96,97,98,98,96,96,96,96,94,94,96,98,97,95,93,93,95,94,93,93,93,93,93,94,94,94,95,98,101,103,104,105,108,109,109,109,110,110,110,109,110,109,108,110,111,107,103,103,106,107,106,106,106,106,106,106,106,106,105,106,110,114,116,116,114,114,116,117,117,115,114,113,113,113,114,114,113,114,118,122,124,123,121,120,122,124,124,124,126,129,129,126,124,126,130,133,132,131,127,121,117,119,123,126,128,132,135,135,135,134,133,133,134,134,132,131,130,128,126,123,121,121,123,126,129,129,125,122,120,118,116,113,109,106,105,108,109,106,102,103,104,103,102,103,107,108,108,110,113,115,116,116,116,114,112,112,114,113,112,113,115,118,120,118,115,114,116,121,125,124,119,118,120,120,118,118,120,122,123,125,126,125,126,128,129,129,130,131,130,130,130,131,131,131,131,131,130,127,126,126,128,128,128,129,131,132,133,133,136,138,139,137,136,135,135,137,138,137,134,133,136,139,140,138,137,137,140,140,136,129,128,131,136,138,137,133,129,125,124,127,132,137,138,138,139,140,139,137,136,137,139,138,138,137,138,137,136,137,139,139,139,138,138,138,138,137,137,137,138,137,136,136,135,131,127,125,124,124,124,129,135,137,139,141,141,140,139,140,141,144,145,143,141,141,141,142,140,136,132,131,133,137,140,141,138,135,134,134,136,136,133,130,129,129,129,129,128,125,124,129,135,140,141,139,139,140,140,138,138,139,139,139,139,138,137,134,133,130,127,125,126,127,128,125,124,124,124,126,127,126,125,126,131,137,140,141,140,137,137,140,142,141,140,140,140,139,138,138,136,132,129,127,126,128,133,138,140,139,134,132,136,141,140,137,137,139,139,136,136,139,140,141,138,132,128,130,131,131,132,131,130,131,132,132,132,131,131,132,135,139,142,145,143,140,140,143,147,148,148,151,151,148,147,147,144,144,146,145,147,150,148,147,150,151,147,146,146,145,146,146,143,140,139,140,141,141,null],[97,95,96,97,95,93,93,94,95,94,95,100,108,114,118,116,114,113,113,114,114,114,114,114,114,114,115,116,115,113,112,112,114,116,117,114,108,102,96,93,94,95,96,95,94,92,91,90,88,86,89,89,89,89,89,89,90,90,94,93,93,94,96,98,99,98,98,99,98,97,96,95,94,93,94,96,98,97,95,94,95,96,95,93,92,93,94,94,94,95,96,98,101,104,106,105,106,108,110,110,110,110,110,111,110,110,109,109,112,112,107,103,105,108,109,107,107,108,107,105,106,106,106,107,111,114,115,115,115,115,114,114,114,116,116,114,112,113,114,116,115,115,119,123,126,126,123,120,120,123,126,126,127,128,129,129,129,129,129,130,131,132,131,128,123,118,118,122,125,128,130,133,135,135,133,130,132,134,134,132,129,127,127,127,124,121,123,127,131,132,131,128,126,126,124,120,114,108,104,106,112,115,115,112,109,105,102,102,106,109,110,109,109,112,115,117,118,117,116,116,116,116,115,113,112,113,115,115,113,112,114,119,123,124,121,118,117,117,117,116,116,117,119,123,127,129,127,127,127,127,127,128,130,129,128,128,127,127,127,127,126,125,125,127,129,129,127,128,131,133,135,136,136,138,140,139,137,134,133,134,137,139,138,135,135,136,138,140,140,140,141,141,139,134,129,129,133,137,138,139,138,135,129,124,125,129,134,134,135,137,138,136,133,133,136,139,139,137,136,136,136,135,135,136,137,137,137,136,136,137,138,138,139,138,136,135,136,135,131,126,124,125,126,123,124,130,137,141,141,138,136,137,139,142,144,145,143,140,139,139,142,142,138,134,132,134,138,142,142,139,137,136,137,137,135,132,131,130,132,133,132,129,125,124,126,131,137,141,141,141,141,139,134,136,138,138,137,137,139,139,137,137,135,130,126,125,126,128,127,126,126,127,127,127,126,126,128,130,132,135,138,138,136,137,141,143,141,141,141,141,140,140,138,137,134,131,129,127,128,133,139,140,139,136,134,137,140,141,140,140,141,140,137,136,137,141,143,142,138,135,134,132,131,131,131,132,135,137,136,135,134,134,134,136,139,143,147,148,145,142,141,144,147,149,153,152,149,150,149,144,143,147,146,147,151,150,148,153,153,148,147,145,143,143,144,143,141,140,139,138,137,null],[96,94,96,100,100,98,94,93,95,94,93,99,107,114,116,115,115,115,115,115,116,116,116,116,115,115,114,115,115,115,114,114,115,117,118,117,113,107,100,96,96,98,99,98,96,94,92,90,90,91,92,91,90,90,90,90,91,92,94,96,96,95,95,97,98,98,98,98,98,97,96,95,94,93,94,95,96,95,95,96,96,95,94,94,94,95,96,94,93,96,99,103,104,106,107,107,106,108,109,109,109,109,110,112,112,110,109,110,112,111,106,104,107,110,110,108,107,107,107,107,107,107,108,112,115,116,115,114,114,114,114,113,113,114,114,113,112,112,114,115,116,119,124,128,128,125,121,119,120,125,127,128,129,130,130,131,133,133,132,130,131,132,131,129,125,119,117,121,126,129,129,131,135,136,133,130,131,134,134,131,128,126,127,130,129,127,130,133,134,132,130,128,129,129,128,123,115,108,106,109,114,117,119,120,117,110,103,104,109,111,111,110,109,110,113,116,117,117,118,119,118,118,118,117,115,115,116,116,114,113,115,120,122,119,116,118,118,118,119,120,119,118,119,122,125,127,127,126,125,125,126,129,130,130,127,125,124,124,125,125,124,123,125,128,131,131,130,130,131,134,137,138,139,139,139,139,137,133,132,133,136,138,138,137,137,138,138,139,141,142,143,143,140,134,130,132,136,138,138,138,139,139,134,128,125,127,129,130,130,133,135,133,132,133,135,138,138,136,134,134,134,134,133,134,134,136,137,135,134,135,137,139,139,138,137,135,135,133,129,125,125,126,127,124,123,125,134,140,138,135,136,139,141,142,142,143,143,140,138,137,140,141,137,132,131,135,140,143,142,140,139,139,139,138,135,134,134,135,136,136,132,128,125,125,126,126,130,135,139,139,138,135,133,135,137,136,136,138,140,141,139,139,139,135,129,126,127,129,129,129,129,132,132,129,126,127,129,129,129,132,135,135,136,138,142,143,142,141,141,140,139,140,139,138,136,133,130,128,130,135,138,138,137,135,133,136,139,142,143,143,143,141,139,138,139,141,143,144,141,140,139,136,132,131,132,135,138,140,138,138,139,138,136,135,135,139,144,148,148,147,145,145,146,149,151,151,149,150,148,143,142,146,148,151,154,153,151,152,153,149,147,145,142,141,142,142,142,141,139,136,134,null],[97,94,95,102,106,102,95,92,94,94,95,101,109,113,111,110,112,115,116,116,117,116,116,115,115,115,113,113,115,116,117,118,118,118,118,120,119,115,109,103,100,100,98,98,97,95,93,94,96,96,93,91,92,94,95,95,95,95,96,96,96,96,96,96,96,97,97,97,98,97,96,96,96,94,93,93,93,94,95,96,95,94,94,97,98,98,98,95,93,96,101,106,107,107,109,108,108,109,110,109,109,110,112,113,113,111,110,109,109,107,104,104,107,109,108,106,105,107,109,110,110,110,111,114,116,116,116,115,113,113,114,114,113,112,112,112,113,113,114,116,119,122,126,129,129,125,121,120,122,125,128,129,131,132,132,134,137,137,135,133,133,134,133,131,127,120,116,118,123,127,126,128,133,135,133,131,131,132,131,129,127,127,129,131,132,133,135,136,134,132,131,130,129,127,125,122,116,112,110,111,112,115,117,119,120,112,104,104,109,111,111,110,109,110,111,114,115,116,117,117,117,117,118,119,120,121,122,123,120,117,116,115,115,114,116,119,122,124,126,126,124,123,121,119,121,123,123,122,122,125,128,130,130,129,127,124,122,123,125,127,127,127,127,129,130,132,132,132,133,134,136,137,138,139,139,139,137,133,131,131,134,136,137,139,140,140,139,139,141,143,143,142,139,135,131,133,138,141,140,139,139,139,137,132,128,126,126,127,127,130,131,131,132,133,135,136,135,134,134,134,134,133,132,132,133,136,138,138,136,136,137,139,138,137,137,136,134,131,126,124,124,126,127,128,126,126,131,135,135,135,138,141,143,142,141,141,142,141,138,137,137,138,134,130,132,137,141,141,141,140,139,138,140,140,137,135,135,137,138,136,130,127,125,127,126,124,125,130,134,134,133,132,133,135,137,137,139,141,141,140,139,140,140,139,136,132,132,132,131,130,130,135,137,132,127,125,127,128,128,132,134,134,136,139,142,143,142,141,140,138,137,139,141,140,137,134,131,130,133,138,139,137,135,133,131,133,137,142,144,143,142,142,142,141,142,142,144,144,140,139,141,139,135,134,134,137,140,141,141,142,144,141,137,133,132,134,137,142,146,150,150,149,147,147,146,147,149,150,148,143,141,145,150,154,155,154,151,151,152,149,148,145,143,142,143,143,143,140,138,137,135,null],[100,96,95,101,105,101,95,92,94,94,95,101,108,110,108,106,108,112,115,117,117,116,115,115,115,114,114,115,117,120,122,123,122,122,122,124,125,122,116,108,103,101,100,99,99,98,98,98,98,97,94,93,95,97,97,97,96,96,96,96,97,97,96,96,96,95,96,96,96,95,95,96,96,95,94,93,93,94,97,96,94,95,97,100,101,101,99,97,96,97,101,105,106,107,108,109,109,109,110,110,110,111,113,113,111,111,111,110,108,105,102,103,106,109,107,103,104,108,113,114,113,112,113,115,116,116,116,115,113,113,114,114,113,111,112,113,116,117,118,120,122,124,126,129,129,126,122,120,122,124,127,129,130,130,132,134,136,138,138,136,133,132,131,129,125,121,119,118,121,124,124,126,131,133,132,131,132,132,130,128,126,128,130,132,134,137,138,137,134,133,133,133,130,125,122,121,120,118,114,110,109,110,111,114,115,110,102,102,106,110,111,110,109,110,111,111,111,112,113,113,114,116,118,120,123,124,126,126,126,123,119,115,115,117,120,120,123,127,130,130,128,126,123,120,118,119,120,120,121,124,128,129,129,128,124,122,123,125,128,129,129,130,130,130,129,131,132,133,133,133,134,135,137,138,139,140,137,133,130,129,131,133,135,137,138,139,140,140,141,142,142,140,139,136,132,132,136,140,140,139,139,139,139,137,132,128,127,128,128,127,126,128,131,133,132,133,134,134,134,136,136,135,134,134,134,136,138,139,139,138,137,138,139,139,138,137,134,131,127,124,124,125,127,131,131,130,131,132,134,137,140,142,142,141,140,140,141,142,140,137,134,133,131,131,133,137,139,139,139,138,138,138,140,139,136,134,135,139,139,134,128,126,125,127,129,126,126,129,130,129,129,131,135,137,138,141,142,141,140,139,138,138,139,140,140,137,136,136,135,132,131,134,139,137,131,126,125,126,128,131,132,133,135,139,141,141,141,139,137,136,137,138,139,138,136,135,133,133,136,140,139,135,134,132,130,132,136,141,144,144,143,143,144,142,141,141,143,143,140,138,140,139,138,140,140,139,141,144,146,148,148,144,138,134,133,133,132,136,144,150,152,150,146,145,145,148,151,151,149,147,144,144,148,153,153,152,150,152,153,152,149,148,148,148,145,143,141,141,140,138,136,null],[102,98,96,100,101,97,95,94,95,95,95,98,102,104,104,103,103,106,110,114,113,111,110,113,114,114,116,117,121,124,126,126,124,125,126,128,127,125,119,110,105,103,102,103,104,103,103,101,99,97,98,100,100,100,98,97,96,96,96,96,97,97,96,96,96,95,95,95,94,95,96,96,96,97,97,97,95,96,98,97,96,97,99,100,103,103,101,100,100,99,100,103,104,105,108,109,109,110,111,111,112,112,113,113,111,111,112,111,109,105,103,103,107,109,108,105,106,111,115,115,114,114,114,115,116,115,115,114,113,114,115,114,113,113,115,117,120,123,126,127,125,123,126,129,130,127,122,120,121,123,125,127,128,128,131,133,136,139,139,136,132,130,129,126,123,122,123,122,121,121,121,124,128,130,129,129,130,132,130,128,128,129,131,133,136,138,138,137,136,135,136,135,131,125,121,121,124,122,115,109,107,108,109,110,111,107,100,98,102,108,111,110,110,110,111,109,108,108,110,111,113,115,118,120,121,122,123,124,127,127,124,120,121,125,125,122,122,126,129,130,129,128,125,122,119,117,118,120,122,123,125,126,127,125,122,123,126,128,129,130,130,131,131,130,129,129,131,132,132,132,133,134,135,137,139,139,136,131,129,129,130,132,133,133,134,137,139,141,142,142,141,139,138,137,133,131,133,137,139,138,138,139,140,140,137,133,130,131,131,128,126,126,128,129,130,132,135,136,136,137,137,137,137,137,136,136,137,138,139,138,137,137,139,140,140,138,136,134,129,126,124,125,127,131,133,134,133,133,137,140,141,141,141,141,140,139,139,140,139,137,133,131,131,133,134,134,134,136,137,136,137,138,139,137,134,134,136,140,138,131,127,126,125,128,132,132,130,130,128,126,128,131,134,136,139,142,142,139,138,137,138,138,138,138,139,139,139,138,138,135,132,132,137,139,137,131,125,125,127,129,130,131,133,136,139,139,138,136,135,137,138,138,136,136,136,136,136,137,139,141,137,133,133,133,132,133,135,139,143,145,144,144,143,140,139,140,142,142,141,140,140,138,139,144,145,142,144,148,150,151,149,144,139,137,138,136,132,133,141,148,149,144,142,144,147,150,152,151,150,152,150,146,146,147,148,150,152,155,156,155,151,149,152,152,147,142,141,143,141,136,135,null],[101,100,97,97,97,95,95,95,95,96,96,96,96,98,99,99,98,100,105,106,104,102,102,106,111,114,116,121,126,127,127,127,126,125,127,129,129,126,121,112,105,103,105,107,108,109,108,104,101,101,107,111,109,105,101,100,99,97,95,95,95,96,97,97,97,96,96,97,97,98,98,98,99,101,100,98,97,96,97,99,100,98,97,99,103,105,103,103,103,101,102,104,105,105,108,109,110,112,113,113,112,111,112,112,112,112,112,112,110,107,106,107,109,110,109,109,110,114,115,114,114,114,115,116,116,114,113,112,113,114,115,115,115,117,120,122,123,127,130,129,126,125,128,131,130,126,123,122,122,122,124,128,130,131,133,136,139,140,137,132,131,132,131,129,126,125,125,124,121,118,119,121,124,126,126,125,124,125,127,129,130,133,135,136,136,136,136,136,137,137,137,134,129,124,122,123,125,122,116,111,108,109,111,112,112,108,102,98,101,106,110,110,110,111,110,109,109,109,112,113,115,117,118,119,119,119,119,121,125,126,126,125,127,128,126,123,124,126,128,129,128,128,128,127,123,119,119,121,122,123,123,124,123,123,123,125,127,128,128,129,131,131,132,130,128,128,130,130,131,132,133,133,133,134,136,137,134,130,131,133,133,134,134,133,132,134,138,141,141,141,140,140,139,136,133,132,134,139,140,139,138,139,140,141,140,136,133,132,134,133,130,128,126,126,130,133,137,138,138,137,137,136,136,138,138,137,136,136,137,137,136,136,139,142,142,139,137,135,131,126,124,124,125,128,132,135,135,135,139,141,142,141,141,141,140,138,136,136,135,134,133,134,135,135,135,133,133,135,137,138,138,140,139,137,135,137,139,138,133,127,126,127,127,129,133,134,133,132,129,127,129,130,130,132,136,139,139,137,138,138,139,139,137,138,140,140,140,140,140,138,135,133,135,138,139,136,128,124,125,126,127,128,129,132,133,134,135,136,137,141,140,139,137,136,136,137,139,140,141,139,133,131,133,135,133,133,134,136,139,142,143,142,142,141,140,142,143,143,143,142,141,139,139,142,144,144,148,150,148,146,143,140,138,138,141,140,135,133,138,143,142,139,140,143,146,148,149,149,150,154,153,149,145,144,148,152,154,156,157,157,151,148,150,151,148,145,143,142,138,134,134,null],[102,101,100,98,96,96,95,95,97,99,99,97,95,94,94,95,94,96,99,99,98,98,99,104,110,114,116,121,127,129,127,126,127,127,127,128,129,128,124,115,106,104,108,112,113,113,112,107,103,104,112,118,116,113,108,104,100,97,93,92,93,96,98,97,97,98,98,99,100,101,102,103,104,103,101,99,98,97,97,100,102,98,96,98,104,106,104,102,103,103,104,106,106,107,108,110,112,114,114,113,111,111,112,114,114,113,113,113,112,108,108,110,111,111,110,112,114,115,115,114,114,114,114,114,113,112,111,111,112,114,116,117,119,122,125,126,125,127,130,129,126,126,129,130,128,125,124,124,124,124,125,128,131,134,135,138,140,137,133,132,133,136,135,132,130,129,129,127,123,119,118,119,120,122,124,125,121,120,125,130,133,136,137,136,134,133,132,134,136,137,135,131,128,127,127,127,126,123,117,113,112,112,115,116,116,113,109,104,103,105,108,110,111,110,109,110,111,112,114,116,117,119,119,119,118,116,116,119,123,125,126,128,128,127,126,125,126,128,129,128,127,128,130,130,126,121,120,122,123,124,124,124,124,124,126,128,129,129,129,130,131,132,132,130,129,129,130,130,130,132,133,132,131,131,133,133,131,129,132,135,135,136,137,135,133,134,137,140,140,140,140,140,138,135,134,134,137,140,142,140,139,140,141,141,139,135,131,132,136,138,136,132,127,125,129,134,137,139,138,136,135,136,136,137,139,139,137,137,137,137,136,137,139,142,142,140,137,134,129,125,124,124,124,125,129,135,136,137,139,142,142,140,140,140,139,136,134,134,134,134,136,138,139,138,135,134,135,136,138,139,140,141,139,138,137,140,140,135,129,128,129,129,128,130,134,136,135,134,132,132,133,131,128,128,131,134,137,139,139,138,138,137,136,138,140,141,141,141,141,140,138,135,135,137,138,136,129,125,125,126,126,126,126,129,130,133,135,137,139,143,142,140,138,137,136,137,140,142,141,136,132,132,135,137,136,134,133,134,137,138,138,138,140,141,142,143,145,145,145,144,144,140,137,138,142,147,150,149,144,141,140,137,137,141,144,143,139,135,136,138,138,137,139,142,143,143,144,145,149,154,154,150,146,146,148,151,153,153,156,158,151,144,143,145,146,147,144,139,135,133,134,null],[104,104,104,100,97,97,96,95,99,102,102,99,96,94,92,92,92,93,95,98,101,103,105,108,112,115,114,117,124,129,128,125,127,129,129,128,129,130,127,119,110,107,112,115,116,117,115,109,104,105,111,118,119,119,116,109,102,97,93,91,93,97,99,98,97,98,99,99,100,102,105,107,106,103,101,100,99,98,99,100,101,99,98,100,103,105,104,102,103,105,106,105,106,107,109,111,113,113,112,111,110,111,113,115,114,114,114,115,113,109,108,109,111,112,113,114,114,115,115,114,113,113,113,112,112,112,112,112,113,116,119,121,124,127,129,129,127,127,128,128,127,128,128,127,125,125,126,127,128,128,128,127,130,134,137,139,138,134,133,135,139,139,136,132,132,134,133,129,124,121,121,120,119,120,124,126,124,123,127,132,134,136,135,132,130,130,130,132,135,137,135,131,131,134,134,132,129,124,119,115,114,115,117,118,118,118,117,113,108,104,106,110,111,109,109,110,111,110,111,114,117,119,119,119,118,117,116,118,121,125,126,127,127,126,126,127,128,129,130,129,128,128,130,130,126,121,121,122,123,125,127,128,128,128,129,130,130,130,131,131,132,132,131,130,130,131,130,129,131,133,133,131,130,130,129,129,129,130,132,134,134,136,138,138,137,136,137,139,140,141,141,138,136,135,137,139,139,140,141,140,140,141,142,140,136,130,128,132,139,140,138,134,130,127,128,132,136,137,136,135,136,137,137,138,139,140,140,139,139,139,138,138,139,140,141,139,137,133,127,124,125,125,124,125,129,134,137,138,140,141,141,140,139,139,138,135,135,137,138,139,140,139,140,139,135,135,139,139,137,139,141,141,140,139,139,141,138,131,128,132,133,130,128,130,135,137,137,136,135,135,138,137,131,128,128,130,136,140,138,135,134,133,134,138,140,141,142,142,142,140,138,138,139,139,137,132,128,127,127,126,125,127,127,128,132,135,136,138,140,142,143,141,140,139,137,138,140,142,140,136,134,136,140,141,138,136,134,134,135,137,136,136,137,139,141,142,144,144,144,146,146,142,137,137,142,149,151,148,144,141,141,138,139,144,146,144,141,138,136,136,138,140,141,141,140,140,142,144,148,153,154,150,149,148,147,147,148,149,154,157,151,143,139,139,141,145,142,136,133,135,135,null],[106,106,105,101,100,100,97,94,96,100,101,99,95,92,90,90,91,92,93,99,107,112,114,114,114,113,112,115,121,128,130,126,125,127,130,129,128,129,129,124,116,110,112,114,114,119,119,111,105,107,112,116,118,120,119,112,106,102,97,95,94,97,100,99,98,98,98,98,99,101,104,107,106,103,103,104,103,100,100,100,99,98,99,101,103,104,105,104,105,107,106,104,106,108,109,111,113,112,110,110,110,110,112,113,113,113,114,115,113,109,107,110,113,115,114,113,114,115,115,114,113,112,112,113,114,114,115,116,118,121,125,127,128,130,130,128,126,126,127,128,128,128,126,125,125,126,127,129,131,131,130,128,130,134,137,138,137,135,135,137,139,138,135,133,135,137,136,131,125,123,126,125,120,118,121,126,127,126,128,133,135,136,134,130,129,131,133,134,134,135,135,133,134,137,136,133,130,126,122,117,114,114,117,120,121,123,123,118,110,104,104,107,109,108,107,108,108,106,106,110,115,119,120,119,118,118,117,118,121,123,125,125,126,124,124,126,127,127,128,129,129,128,127,126,123,121,120,120,121,122,125,128,130,130,130,130,131,130,130,131,131,130,129,129,130,130,129,129,131,134,134,132,129,127,127,128,131,133,134,134,134,136,139,140,139,137,137,140,141,142,140,135,134,137,140,140,139,140,141,140,139,139,139,137,132,128,129,136,141,140,137,136,134,130,128,130,133,135,136,136,137,138,138,137,137,139,141,140,140,140,138,138,139,139,139,139,137,132,129,128,127,125,124,125,128,133,137,140,143,143,141,140,140,139,137,137,137,139,140,141,140,138,139,138,133,133,139,141,139,138,139,140,139,139,140,140,135,130,131,138,137,131,127,129,135,138,138,138,137,138,142,142,138,134,130,128,131,135,134,131,131,133,136,138,139,141,142,143,143,140,138,139,141,141,137,133,132,132,130,127,125,125,127,129,133,136,138,138,140,142,144,143,142,139,137,138,139,140,139,137,138,142,143,141,138,139,139,135,135,139,139,137,135,137,139,141,141,142,143,145,146,145,142,141,145,151,152,149,146,143,142,139,140,145,147,145,143,138,135,136,140,146,145,143,143,145,146,146,147,151,152,150,151,150,147,145,147,148,151,154,151,146,144,140,138,139,137,133,133,135,136,null],[105,106,103,100,102,102,98,93,92,95,98,97,95,95,93,91,93,94,95,100,108,113,117,116,115,112,113,114,119,126,130,127,123,123,129,130,127,126,127,125,119,114,113,112,112,119,122,114,109,112,117,119,118,119,119,115,111,108,105,101,97,98,102,102,100,99,99,99,99,100,103,105,104,102,104,107,105,102,101,98,98,99,101,101,103,105,107,108,108,108,107,106,107,108,109,110,111,110,110,109,109,109,110,110,111,112,113,113,110,108,108,111,115,117,115,114,114,115,115,114,114,114,115,118,120,120,121,122,125,126,128,130,131,130,128,125,124,124,125,128,128,128,127,127,128,128,129,131,132,131,130,130,133,137,138,137,137,138,139,138,136,135,134,135,138,137,135,130,124,124,129,130,124,120,120,123,124,124,127,133,136,134,130,127,129,133,135,135,134,135,136,136,137,137,135,131,129,126,122,116,113,115,118,121,124,126,126,120,111,104,102,103,105,106,105,105,103,102,104,109,113,116,118,118,117,118,118,118,120,121,122,124,124,123,122,123,124,125,126,128,129,127,125,124,122,122,121,121,120,119,120,124,127,128,127,127,128,127,126,127,127,127,126,126,126,127,128,130,132,135,134,131,127,125,127,130,134,137,138,136,136,138,140,140,139,139,139,141,142,142,138,134,135,139,141,140,140,140,140,138,136,135,135,134,132,132,135,139,140,137,135,137,137,133,130,129,130,132,135,138,139,138,137,137,136,137,138,138,140,140,139,138,139,139,139,139,137,135,134,134,130,127,124,125,129,134,139,141,143,142,141,141,141,140,139,138,139,141,142,141,138,138,139,139,134,132,137,141,140,138,137,139,138,138,138,136,133,132,135,139,138,132,126,127,134,140,140,138,137,139,142,143,142,140,134,129,128,130,130,129,132,136,139,139,139,141,143,143,142,140,138,139,139,139,138,137,138,137,133,127,124,124,127,130,132,134,138,139,141,143,145,145,143,140,138,139,139,139,138,139,142,145,144,139,137,142,143,136,135,141,143,142,138,138,139,139,139,140,142,143,143,146,148,147,148,151,152,150,147,144,141,139,140,143,146,146,143,138,135,136,141,147,148,147,147,149,151,150,147,149,150,150,152,152,147,146,149,149,149,148,148,148,148,144,137,135,133,132,134,137,137,null],[104,104,100,102,104,102,97,93,93,96,96,96,98,103,103,99,96,97,100,102,103,107,111,115,114,113,114,115,118,124,128,127,123,122,126,130,129,125,121,119,118,117,115,114,115,121,122,118,116,119,123,124,123,122,120,116,114,114,112,108,104,104,106,106,105,105,105,104,102,103,105,105,102,101,105,108,106,104,101,98,98,101,102,103,104,106,109,110,110,109,108,108,109,109,108,108,109,109,110,110,109,108,108,108,110,112,113,111,108,105,107,112,115,116,116,116,116,116,116,116,116,117,120,125,128,126,126,127,128,128,128,130,132,132,128,124,123,123,123,125,127,128,129,130,131,131,132,133,132,130,131,134,138,140,139,138,138,141,142,139,135,134,135,136,135,133,130,126,122,123,129,132,131,127,123,118,115,117,124,132,132,128,122,122,127,133,135,135,135,135,136,137,138,137,135,130,126,122,118,115,114,117,121,123,124,127,128,123,113,103,99,99,101,103,103,101,99,100,106,111,112,112,115,116,117,119,119,118,118,119,120,122,123,123,122,121,122,124,126,128,128,127,126,127,126,125,125,125,123,119,118,121,123,122,121,122,123,123,122,122,122,123,123,123,122,125,129,132,133,132,130,127,124,125,129,133,136,139,139,139,139,140,141,140,140,141,141,142,142,140,137,135,137,141,141,140,140,140,137,134,133,132,132,134,135,138,141,141,138,136,136,138,138,136,133,129,127,129,133,137,138,138,137,137,136,135,135,137,139,140,140,139,138,138,139,139,139,138,139,137,132,126,124,125,130,136,140,141,140,140,141,142,142,142,140,140,140,142,143,141,138,139,140,140,137,135,136,138,139,137,137,139,139,137,135,132,131,135,138,137,135,131,126,127,132,139,140,137,137,140,141,141,142,140,136,131,129,131,131,130,133,137,140,140,140,141,143,142,140,139,139,139,138,137,138,140,143,140,134,126,123,125,128,130,131,132,137,140,142,144,145,145,143,141,140,141,140,139,139,141,145,145,142,138,138,144,144,138,136,140,143,144,143,142,142,140,140,141,142,140,140,143,148,148,150,152,150,149,146,144,141,140,139,140,145,146,142,139,138,137,138,142,146,147,146,148,152,151,148,148,150,152,155,153,147,147,150,149,145,143,142,144,145,142,136,133,133,135,138,141,142,null],[103,102,100,101,103,101,98,97,98,99,99,99,103,110,111,107,100,99,102,102,99,98,101,107,111,114,116,116,117,122,126,125,123,121,124,129,132,128,119,112,111,115,118,119,119,121,123,122,121,123,126,129,129,126,124,120,118,116,114,114,113,114,115,114,113,113,111,109,108,108,110,109,107,107,109,110,108,104,102,100,100,102,102,103,105,108,112,111,110,109,110,110,110,109,108,107,108,109,111,111,110,109,109,110,111,112,113,113,109,107,108,112,114,115,116,117,118,119,121,121,121,122,124,128,128,125,124,125,125,126,126,128,130,130,126,123,123,125,125,125,126,128,130,131,132,133,134,134,133,133,133,136,139,139,139,138,138,139,139,135,133,132,132,131,129,128,127,125,122,122,126,132,136,134,126,116,110,113,122,128,128,124,122,124,128,131,132,132,133,134,135,136,137,137,135,132,127,122,117,114,115,119,122,124,124,126,129,127,116,103,97,99,101,102,101,99,99,103,108,111,112,112,115,116,118,120,121,120,119,119,120,122,123,122,121,120,122,124,125,126,127,127,128,129,128,128,128,129,127,122,119,120,121,121,121,122,122,122,122,122,121,122,122,122,121,124,127,129,129,127,126,126,125,127,130,134,137,139,140,141,141,141,141,140,140,142,141,141,140,137,134,135,138,140,140,140,140,139,136,135,134,132,132,135,138,141,142,140,137,136,137,139,138,137,136,131,128,129,134,136,136,136,136,136,136,135,135,139,140,140,140,139,139,139,140,140,140,140,139,136,130,125,123,124,130,138,142,141,138,139,142,142,141,142,142,141,141,142,142,141,138,138,139,140,139,137,134,135,138,138,138,139,138,135,132,131,133,138,138,134,132,131,128,126,129,135,138,137,138,141,140,139,139,139,136,133,133,134,135,133,132,134,137,139,140,140,140,140,137,138,140,138,137,138,139,142,144,143,137,129,125,126,128,129,130,131,135,139,142,144,144,144,143,143,142,143,142,140,140,142,144,143,140,138,140,144,145,139,137,140,144,147,147,146,144,143,144,145,144,141,138,139,143,145,147,148,146,145,147,147,144,142,140,141,146,148,142,139,139,138,136,137,141,143,143,144,148,150,150,150,151,153,155,152,146,147,150,149,146,143,141,140,140,138,135,133,134,137,141,144,146,null],[103,100,100,99,99,100,103,105,103,103,104,105,107,111,114,112,105,101,101,101,99,95,94,99,105,110,114,115,116,120,121,121,119,119,122,129,133,131,121,111,107,113,120,124,123,123,123,124,123,123,126,129,131,130,128,125,121,116,114,117,121,124,123,123,121,119,115,112,114,115,115,117,118,115,115,114,111,107,104,103,103,102,102,103,106,110,113,111,109,110,112,112,111,110,109,108,108,111,113,114,114,114,115,114,113,113,114,115,114,111,109,111,113,114,114,115,118,121,123,123,122,122,123,123,122,120,120,120,120,121,124,126,127,126,123,122,124,128,130,129,128,128,129,131,132,133,134,135,136,137,137,136,136,137,138,137,135,135,133,130,130,131,129,127,126,128,128,127,124,123,126,132,137,136,127,117,113,116,122,125,125,126,129,131,132,131,129,129,130,131,132,133,135,136,137,135,130,124,120,116,115,118,120,122,123,126,129,127,117,103,98,100,103,101,98,97,100,104,106,107,111,115,116,116,117,119,120,120,120,121,122,122,123,122,120,120,121,123,124,124,126,128,128,128,128,128,129,130,129,125,122,122,123,124,125,125,125,126,127,126,125,123,122,123,125,125,124,123,123,124,126,129,130,129,129,133,136,139,140,140,140,140,141,140,140,141,141,139,138,134,132,134,138,139,139,140,139,137,136,137,137,135,133,134,137,139,139,138,138,137,137,138,138,137,137,134,130,132,136,136,136,135,134,134,135,135,137,141,142,141,139,139,140,140,141,141,141,140,136,131,127,124,123,123,129,137,141,140,138,139,142,141,140,142,143,142,142,141,141,139,138,137,138,139,139,137,133,134,137,139,140,139,137,134,133,134,137,139,138,135,134,133,131,127,126,130,135,137,139,140,139,139,138,137,137,136,136,135,137,136,131,130,133,137,138,136,135,136,136,138,139,138,138,140,141,142,143,144,143,135,129,127,127,128,128,130,133,137,141,144,144,142,142,142,143,143,142,141,141,141,142,141,138,138,141,144,144,141,139,140,145,148,147,146,146,145,147,150,148,142,139,138,139,141,142,142,141,143,148,150,148,146,143,144,149,151,145,140,138,139,139,137,137,139,142,145,145,147,149,150,151,152,152,150,148,149,150,150,148,147,143,140,137,135,134,134,135,138,141,144,146,null],[102,99,97,97,99,102,108,111,108,107,110,111,112,112,114,115,110,104,101,101,100,97,95,95,97,101,107,111,113,116,115,111,109,113,121,128,131,128,121,114,112,116,122,127,128,127,124,123,123,125,125,127,131,131,128,127,123,117,117,121,126,127,127,126,124,122,119,117,118,119,120,124,125,121,119,118,114,111,109,107,105,102,102,107,110,113,113,111,109,111,114,115,113,111,111,110,110,113,116,117,118,119,118,116,114,113,114,117,116,112,109,109,113,114,114,114,116,117,118,119,118,119,119,118,118,120,121,120,117,118,121,123,123,124,123,123,126,129,130,130,130,129,129,128,128,130,133,135,136,137,136,136,136,137,137,135,132,132,131,130,132,132,129,128,130,132,131,128,125,126,131,135,135,132,126,120,118,120,121,123,126,131,136,137,136,133,131,130,130,130,131,132,133,136,137,135,130,127,123,117,114,115,117,120,123,125,125,123,116,105,101,101,102,99,96,96,98,101,101,104,111,114,112,112,114,115,116,119,121,121,121,121,122,122,121,121,121,121,123,125,126,127,128,128,128,128,129,129,128,126,124,124,125,126,126,127,128,129,130,129,126,122,121,124,128,128,125,123,123,124,126,130,132,132,130,131,132,135,136,137,137,138,138,138,139,140,141,139,138,135,132,135,137,138,138,138,138,138,138,139,140,138,135,133,135,137,137,137,138,138,138,139,138,136,137,135,132,133,136,136,137,136,134,133,135,136,139,142,143,141,139,138,140,140,141,142,141,138,134,130,125,124,125,125,127,132,135,137,137,138,139,138,138,141,142,142,141,140,139,138,138,138,139,138,137,135,134,135,137,139,139,138,137,136,136,136,138,139,139,138,136,135,134,130,125,126,131,134,136,137,139,140,140,139,138,138,135,134,138,138,135,131,131,132,133,133,133,134,137,139,140,140,140,140,142,144,144,146,146,141,132,127,126,126,126,128,132,138,142,144,143,142,142,142,142,141,140,140,140,140,140,140,139,140,143,145,143,139,138,140,144,145,143,145,147,147,150,151,148,144,142,141,140,140,140,140,140,142,145,149,150,150,147,144,148,151,146,141,141,143,142,138,136,140,145,149,148,146,145,147,148,148,150,152,153,154,152,150,148,147,146,143,137,134,134,135,137,139,140,141,143,null],[100,98,96,99,103,104,110,114,110,110,114,117,117,115,116,117,115,110,105,105,106,102,99,97,94,95,101,105,108,110,107,102,102,108,118,125,125,124,121,119,120,122,125,128,130,130,125,123,125,129,127,127,130,129,127,127,125,122,122,125,127,128,128,126,124,124,123,121,120,120,123,127,126,123,121,120,118,115,113,111,107,104,106,111,115,115,114,112,111,113,116,118,116,114,116,115,114,117,119,119,120,120,119,116,114,114,115,117,117,113,108,108,112,115,115,115,114,115,115,115,116,117,117,118,120,124,124,122,117,118,122,123,124,124,124,125,126,129,130,131,131,132,130,128,127,128,130,132,133,134,135,138,138,138,136,133,132,132,133,134,135,134,132,132,135,136,132,127,124,128,134,136,132,129,127,126,124,122,120,121,126,131,136,137,136,135,134,134,133,133,133,134,135,136,136,134,130,128,125,119,113,113,117,121,123,123,122,121,116,109,105,104,102,99,97,97,98,98,100,105,109,109,105,108,111,110,111,116,120,121,120,120,120,120,120,121,120,120,123,125,125,126,127,129,129,129,129,129,128,125,125,126,126,125,125,127,130,130,130,129,126,122,121,124,128,130,128,128,127,126,127,129,131,133,133,132,131,133,134,135,137,137,137,137,138,140,141,140,139,137,135,135,137,138,139,139,139,139,139,139,138,137,135,134,136,137,137,136,137,138,139,139,138,137,137,135,132,132,134,136,138,138,137,135,135,138,140,141,141,140,138,139,140,140,140,140,139,136,134,130,125,125,127,128,128,130,133,134,135,134,134,135,136,139,140,141,140,139,139,138,138,139,138,136,135,135,136,138,139,140,139,138,137,138,140,138,136,138,141,141,137,136,137,133,127,126,128,130,130,132,137,139,141,141,140,138,135,135,137,139,138,135,133,130,131,133,134,136,139,141,141,142,142,140,142,145,145,146,146,142,135,129,127,126,125,126,130,137,142,144,144,143,143,142,142,141,140,140,141,141,141,140,140,142,145,146,144,139,137,139,141,141,141,142,145,147,148,148,145,144,145,146,144,141,140,141,144,144,142,144,149,152,150,146,147,150,148,145,144,145,143,138,139,145,150,152,152,147,143,145,146,148,151,156,159,159,155,149,145,144,145,144,138,135,134,137,139,141,141,141,141,null],[99,97,99,106,109,107,108,113,113,113,117,120,122,121,121,122,122,119,114,114,115,107,102,100,98,99,102,102,102,104,103,100,103,110,115,118,120,120,120,123,126,128,127,128,131,130,127,126,128,131,131,129,130,128,127,127,127,127,126,127,129,129,127,126,125,126,126,124,122,123,125,127,125,125,124,122,120,118,117,114,111,109,111,115,117,117,116,113,112,113,116,118,118,118,119,120,119,119,119,118,118,118,116,115,115,116,117,117,118,114,107,106,112,116,117,116,116,119,119,119,118,119,121,124,126,127,127,123,119,120,126,128,128,128,126,126,128,131,133,133,134,134,132,130,130,131,130,130,131,134,138,140,140,138,136,135,135,136,138,138,137,135,134,135,137,136,131,125,125,129,133,133,130,131,133,133,129,124,122,121,123,126,130,133,133,134,136,136,136,136,137,137,136,134,133,132,132,130,125,119,114,113,118,123,123,122,123,122,118,112,109,108,106,104,102,101,99,98,102,107,109,104,101,105,109,106,108,115,119,121,122,120,118,118,119,121,121,120,121,122,124,125,127,129,130,130,130,130,129,127,126,128,128,127,125,126,129,131,130,128,125,123,124,126,128,129,131,132,131,130,130,129,130,132,134,134,134,135,136,137,139,140,139,138,139,139,139,139,139,138,137,137,137,138,139,140,141,141,140,137,135,133,134,136,138,139,138,137,136,137,139,139,138,138,138,136,133,131,132,135,138,140,140,138,138,140,141,140,139,139,139,140,140,140,139,138,136,135,134,129,125,125,128,130,131,133,135,136,134,132,133,134,135,138,139,139,138,138,138,138,138,138,136,134,135,138,139,140,140,140,139,138,136,139,141,139,136,138,142,142,137,134,137,136,130,127,127,128,128,129,131,134,138,141,141,138,136,137,138,139,137,137,136,133,133,134,137,140,141,141,141,142,142,142,143,143,144,145,143,140,136,133,130,128,126,126,128,134,139,142,144,144,143,143,143,142,141,142,143,143,142,140,141,143,146,148,145,141,139,139,139,139,141,140,141,144,145,143,142,143,145,148,147,143,140,141,147,147,142,141,145,150,152,151,151,151,150,148,145,143,139,138,143,150,152,151,151,148,147,149,151,152,154,156,159,160,156,147,143,143,143,141,139,136,136,138,140,142,143,143,141,null],[100,97,101,113,117,109,107,111,114,115,116,123,127,125,125,127,128,125,122,124,123,113,104,102,102,103,104,104,104,104,103,103,107,112,113,113,116,119,122,124,128,131,132,131,132,131,130,130,131,132,131,130,130,129,129,130,131,130,127,126,127,127,126,124,125,126,128,127,126,126,127,127,126,125,127,126,124,122,121,121,120,117,116,117,117,118,117,114,112,113,116,117,118,119,120,121,120,119,118,117,115,115,115,115,117,119,120,118,118,114,107,107,115,120,119,117,119,123,125,123,121,122,126,128,130,131,128,124,120,121,127,130,131,130,128,129,131,133,134,134,134,133,131,131,134,134,132,130,132,136,140,140,138,137,137,137,138,139,140,139,138,137,136,136,137,135,129,125,128,132,132,130,131,134,137,137,132,127,127,125,122,124,127,128,130,133,136,138,138,138,138,138,136,133,131,132,134,132,125,119,114,114,118,121,120,120,123,123,120,114,110,109,108,105,103,101,100,99,103,107,107,103,101,105,107,105,108,115,119,120,121,120,118,119,121,123,124,122,122,122,124,126,128,129,129,129,130,131,130,129,128,129,130,128,126,127,130,131,129,127,124,123,126,129,129,130,131,133,134,133,132,131,130,130,132,135,138,138,138,139,140,140,139,139,138,137,137,138,138,137,138,137,137,139,140,141,142,141,138,136,134,132,133,136,138,138,138,137,136,138,139,138,138,139,139,137,134,131,131,132,135,138,140,141,141,140,139,138,137,139,140,140,141,141,140,138,137,136,135,131,127,126,127,128,131,134,138,139,137,136,136,135,135,137,139,139,139,139,138,137,137,137,135,135,137,140,141,140,140,141,141,140,137,137,141,139,136,140,143,140,136,134,137,137,131,127,126,128,131,130,129,130,134,138,140,139,138,139,141,141,139,137,137,137,135,134,136,139,139,141,142,142,143,144,144,143,143,142,139,138,137,136,134,130,127,126,128,132,136,140,142,142,142,144,145,144,143,144,144,142,143,143,143,143,144,147,147,145,141,138,138,140,143,141,139,141,143,143,143,143,144,148,149,146,142,142,146,148,145,142,144,147,149,152,154,154,150,147,145,142,138,138,143,149,149,147,149,151,153,154,155,156,153,153,156,158,156,150,147,148,145,142,140,138,136,137,139,140,142,144,146,null],[101,97,101,115,120,113,109,112,114,115,116,124,129,127,128,130,130,128,126,128,127,117,108,104,105,106,107,109,110,108,105,105,108,112,114,114,115,119,123,124,128,131,134,133,131,132,132,132,132,131,129,128,129,131,132,133,132,130,126,124,124,125,125,123,123,126,127,129,128,128,129,129,128,126,128,130,129,127,126,128,129,125,120,118,116,117,118,115,112,113,115,116,116,117,119,120,119,117,116,116,115,114,116,117,119,121,122,120,117,111,107,111,119,124,121,119,119,124,127,126,124,125,128,129,131,131,129,124,122,121,123,128,130,130,129,130,132,133,133,133,133,132,131,132,135,136,135,134,136,139,139,137,136,136,138,140,140,139,139,139,139,138,136,136,136,133,127,125,130,135,133,131,133,137,139,137,132,129,131,130,125,124,126,127,128,131,134,136,136,136,136,137,136,132,129,130,133,131,124,117,114,115,117,118,118,118,120,122,121,116,111,109,108,106,103,101,98,98,100,103,104,103,103,104,106,106,110,115,118,119,119,119,120,120,122,125,126,125,124,125,126,127,128,128,128,128,129,130,129,129,129,129,130,129,128,129,130,130,128,126,123,123,126,129,131,132,132,133,133,133,133,132,131,130,131,134,137,139,139,140,140,139,138,139,138,136,136,137,137,136,137,138,138,140,140,140,140,139,137,136,135,133,133,135,136,136,137,137,137,139,139,138,139,139,138,137,134,133,133,131,131,134,137,139,140,138,137,136,137,138,138,139,141,141,141,141,140,138,136,133,129,126,125,126,128,131,136,139,140,139,139,136,136,137,139,141,141,140,138,138,137,137,137,138,139,140,140,139,139,141,142,142,138,137,140,139,138,141,142,138,136,136,137,135,130,127,127,130,134,135,133,130,130,133,138,140,140,140,142,142,140,137,137,139,138,134,133,136,138,141,142,143,144,145,145,143,141,139,137,138,139,139,137,133,128,126,128,130,134,138,140,140,142,145,146,146,145,145,144,143,145,147,145,143,144,147,148,145,141,138,139,142,144,143,140,141,142,144,146,145,142,145,148,148,145,142,144,147,148,147,145,146,147,149,153,155,150,146,144,142,140,139,141,144,145,146,150,153,155,154,155,156,152,150,151,153,154,154,154,151,147,144,142,139,135,135,136,137,139,144,148,null],[100,97,101,113,119,117,114,114,116,117,119,126,131,129,129,130,131,130,127,126,124,119,113,110,111,111,110,112,115,113,109,105,105,109,114,115,114,117,120,123,124,127,130,129,127,129,131,130,130,129,126,127,129,130,131,132,130,128,127,125,122,122,124,124,123,125,126,127,128,130,132,133,131,128,128,130,130,130,130,132,131,128,124,120,117,116,118,117,113,112,114,116,117,117,118,119,119,117,116,116,116,117,118,119,119,121,123,122,116,111,109,114,122,125,123,120,119,123,127,128,128,129,130,131,131,130,126,124,124,122,120,123,127,129,128,126,127,130,132,132,133,133,133,133,134,136,137,138,138,139,137,135,136,138,139,140,139,138,138,139,139,138,135,134,133,130,126,126,133,138,136,133,134,137,140,138,132,128,130,130,126,124,125,127,128,128,130,132,132,132,133,135,136,132,127,124,125,124,120,116,115,116,118,118,120,119,118,120,121,121,117,114,113,112,109,104,98,95,94,95,98,100,101,103,107,110,112,113,115,116,117,119,122,121,121,123,125,125,125,126,127,126,126,127,127,127,128,128,127,126,126,128,129,129,129,129,131,130,129,127,125,123,124,127,130,132,132,132,133,133,133,132,131,131,132,132,134,137,139,139,139,138,138,139,139,137,135,135,135,135,136,137,139,139,140,140,139,138,137,136,136,135,136,136,135,135,136,138,138,138,138,139,139,138,138,136,136,137,136,134,133,133,133,133,135,136,136,135,135,136,136,137,139,140,140,141,140,138,136,132,128,125,124,126,127,129,132,136,138,138,138,137,137,139,141,142,142,142,140,140,140,139,139,140,139,139,139,138,139,141,142,141,139,139,140,140,140,141,141,137,138,139,137,133,129,128,129,131,136,139,139,133,128,129,135,141,141,139,140,141,139,137,138,142,141,135,134,137,140,140,139,141,144,145,144,142,139,138,140,141,142,142,140,135,130,127,127,129,131,136,140,141,144,146,146,146,146,146,146,147,148,148,145,145,148,148,146,141,139,138,139,142,145,144,142,142,143,144,147,147,144,144,147,149,146,143,146,149,150,149,147,148,149,149,150,152,152,149,147,145,143,140,139,141,145,150,154,154,152,151,152,154,154,152,149,149,152,155,153,148,143,142,142,140,136,134,134,135,140,145,149,null],[103,100,103,111,118,119,116,116,119,123,126,130,132,132,131,131,132,129,124,122,122,121,119,117,118,118,115,115,115,115,112,107,103,106,114,116,113,114,116,118,118,118,122,124,125,127,129,129,130,128,124,124,128,129,129,130,128,127,128,128,123,121,123,125,126,127,126,125,126,130,133,134,132,130,129,128,130,131,130,130,130,128,126,124,120,118,118,117,114,112,114,116,118,117,117,118,119,117,116,117,118,118,118,119,119,119,120,121,117,112,111,114,120,122,122,120,120,124,128,131,132,131,130,130,129,127,124,125,127,127,123,123,125,126,126,126,126,129,132,133,133,134,135,135,134,136,139,140,138,135,133,134,136,138,139,139,139,138,137,138,138,137,135,132,129,126,124,126,133,138,138,135,134,137,139,137,132,128,128,128,126,123,124,128,130,129,129,130,132,132,132,134,133,129,124,120,120,119,117,116,117,119,121,122,122,121,120,119,121,124,124,122,121,118,112,104,98,95,94,93,95,98,100,104,108,111,112,112,113,113,115,118,121,119,118,120,123,124,124,126,127,127,127,128,127,126,127,126,125,124,125,128,129,129,129,130,131,131,131,130,128,125,123,124,126,128,130,131,131,132,131,131,132,133,133,132,132,134,136,137,138,139,139,139,138,136,135,135,135,135,136,138,139,139,140,140,139,138,137,136,136,137,138,137,135,135,137,138,138,138,138,140,139,138,137,137,137,139,139,137,134,132,131,132,135,136,136,135,135,136,136,136,137,138,139,140,140,139,136,133,128,125,125,126,128,128,130,133,135,135,135,135,138,140,140,141,141,141,141,142,142,141,140,140,139,138,139,139,140,141,141,139,140,140,140,140,140,140,139,139,140,141,139,134,130,129,131,133,136,138,141,136,130,128,132,139,140,138,139,140,139,139,140,142,141,137,135,138,142,140,138,141,143,144,143,141,139,139,142,143,144,143,140,135,130,127,127,128,132,137,142,143,145,146,145,144,145,147,149,150,149,146,143,145,150,149,143,139,139,140,140,141,145,143,142,144,144,144,146,148,147,146,146,149,147,143,146,150,152,150,148,151,154,152,150,150,152,151,148,147,146,141,139,140,143,148,151,149,147,147,148,150,153,152,147,147,151,154,150,143,141,142,144,142,137,135,134,135,138,143,145,null],[108,105,106,114,120,120,118,118,124,130,133,135,134,132,133,133,133,128,122,122,125,125,123,122,124,123,119,116,115,116,115,111,105,105,112,115,112,112,113,114,111,109,114,120,125,125,126,128,129,128,123,122,126,128,129,128,127,128,130,130,127,123,123,125,128,129,128,126,126,129,132,133,133,132,131,130,130,130,129,128,128,128,127,125,124,121,118,116,115,114,115,117,117,117,117,118,120,119,118,119,119,118,117,119,120,119,118,119,117,113,110,112,116,118,118,120,123,127,130,132,132,130,128,128,126,125,125,126,129,131,130,127,124,124,127,130,131,132,134,134,134,135,136,137,136,137,140,140,136,131,130,132,135,137,138,139,139,138,137,136,136,135,133,130,127,125,125,127,131,134,136,136,136,136,137,136,133,131,132,130,126,122,124,130,133,132,130,132,134,136,135,134,131,126,124,123,122,121,120,118,118,121,123,123,122,122,123,121,121,123,126,127,125,119,110,101,97,97,97,96,96,100,104,107,108,110,112,112,111,111,113,116,117,116,116,117,120,122,123,125,128,129,130,130,127,124,125,124,123,123,126,129,130,130,130,130,131,131,132,132,131,128,126,123,123,125,127,128,129,129,130,131,133,134,135,133,132,133,133,134,136,138,139,137,134,133,133,134,135,136,136,138,139,139,140,141,141,140,138,136,137,138,137,137,135,135,138,139,138,139,140,141,140,138,138,137,136,138,139,138,134,132,133,136,138,138,137,136,137,138,138,136,137,138,139,140,141,141,139,136,131,126,125,127,128,127,129,132,134,133,132,133,135,137,138,138,138,140,141,142,142,141,140,140,138,138,139,140,140,140,139,139,141,141,140,140,141,140,140,142,142,141,139,137,133,129,130,136,138,137,140,140,136,131,130,135,138,139,140,141,140,140,140,141,141,139,136,136,140,141,141,142,142,143,143,142,142,142,144,144,143,141,136,132,129,128,128,129,133,138,142,143,142,142,143,142,142,146,151,151,147,142,141,144,148,147,143,141,143,144,141,141,145,143,141,145,146,146,145,147,150,149,147,149,147,143,143,148,152,151,149,153,156,156,154,152,152,150,147,147,146,142,141,141,141,141,143,142,143,145,146,147,148,148,146,147,151,154,151,146,144,146,147,144,139,138,136,135,135,137,140,null],[108,107,109,116,122,125,125,126,129,132,133,135,134,130,130,133,134,129,124,124,128,128,127,126,126,125,121,119,119,119,117,114,107,105,108,112,112,111,111,111,110,108,111,117,122,123,122,123,124,124,123,124,126,128,129,127,127,128,129,130,129,125,123,127,130,130,130,130,130,130,131,131,132,132,133,132,132,131,130,129,129,129,127,123,121,119,117,115,115,117,119,119,118,117,116,118,120,121,121,122,121,119,117,118,120,119,118,117,115,111,109,112,117,117,116,120,126,131,132,130,129,129,128,126,125,126,127,128,130,132,133,129,124,122,126,132,134,134,135,135,135,136,138,138,138,137,138,136,132,130,131,134,135,136,138,138,139,138,136,134,133,132,131,128,126,128,130,131,130,132,136,138,138,138,137,137,135,133,134,132,127,122,123,129,133,133,132,133,135,136,135,133,131,130,131,132,131,129,125,121,119,119,121,122,122,125,127,124,122,122,125,127,124,118,110,104,100,98,98,98,100,105,110,111,110,109,110,112,111,111,112,114,114,114,114,115,118,120,120,123,127,129,129,128,124,120,120,121,122,124,127,129,130,130,129,130,131,132,132,132,131,130,127,125,124,125,125,127,128,130,131,132,133,134,134,134,135,136,135,134,135,137,137,133,130,132,133,134,135,137,138,138,139,140,141,142,142,140,138,137,138,137,137,136,135,136,138,139,139,139,140,140,139,138,138,137,137,138,139,138,134,132,134,137,137,138,138,138,139,140,140,139,139,138,138,140,141,141,141,140,134,127,125,126,127,126,127,130,132,132,131,131,132,135,136,137,138,140,143,143,142,141,140,140,139,139,140,140,140,139,140,142,142,141,141,141,141,141,144,144,141,137,136,135,131,127,128,135,136,136,140,142,140,133,129,130,135,140,141,140,140,140,140,141,142,142,138,135,138,141,143,142,143,144,144,143,144,145,145,144,141,136,132,130,130,130,129,129,132,134,136,137,138,141,144,143,142,145,148,147,144,142,142,145,146,145,144,145,146,146,143,143,146,145,142,143,146,148,144,145,151,151,149,149,149,146,144,145,150,152,150,153,156,157,157,155,153,150,148,147,144,142,143,144,141,138,139,140,141,143,147,151,151,148,147,148,152,155,154,150,149,148,146,144,143,141,139,135,134,136,139,null],[105,106,112,119,125,128,130,132,133,132,131,134,133,129,128,130,132,131,129,128,129,129,129,128,127,124,123,124,125,122,119,116,110,106,106,110,112,112,111,112,111,111,112,116,119,120,119,118,118,119,123,127,128,130,130,129,129,129,128,129,129,125,123,128,131,129,130,132,132,132,131,129,130,132,134,134,134,133,133,130,128,129,126,122,119,118,117,116,116,121,124,123,121,119,117,117,119,122,124,124,122,120,118,119,120,121,119,117,113,109,109,115,122,121,118,119,125,130,131,128,127,128,129,126,126,129,129,128,130,132,133,130,126,124,125,128,131,133,133,132,133,134,136,136,135,134,133,131,130,133,135,136,136,136,138,139,139,138,136,135,133,131,129,127,127,132,136,135,132,132,135,138,138,139,138,137,135,133,133,132,128,122,121,125,130,134,134,133,134,135,135,134,134,135,137,136,135,132,128,122,118,116,117,119,122,126,128,127,124,123,124,125,123,118,114,109,104,99,96,98,104,110,113,112,110,109,110,110,111,112,114,114,114,113,113,114,116,118,119,122,125,126,125,125,122,119,119,121,123,125,127,128,129,129,129,129,130,131,131,131,130,130,128,127,128,128,126,125,128,131,132,132,133,134,134,134,135,137,137,135,134,134,134,129,128,133,136,135,135,137,138,139,138,139,141,141,141,139,137,138,138,137,136,136,136,137,137,138,139,139,139,139,138,137,138,138,138,139,139,136,134,134,134,134,135,136,138,139,140,141,142,142,141,138,137,139,140,140,140,139,135,129,125,125,126,125,126,128,129,131,131,131,132,134,136,137,139,141,144,144,142,141,140,140,140,140,140,140,140,140,142,145,143,141,142,142,142,144,145,144,139,134,134,132,129,127,129,133,135,137,141,144,142,135,129,128,134,140,142,140,141,141,141,143,144,143,138,137,139,142,143,143,144,146,146,146,146,147,147,145,139,133,130,132,134,134,132,130,129,129,130,131,134,139,143,142,141,144,145,143,141,142,145,146,145,145,146,145,145,144,143,146,148,148,144,142,145,148,146,147,151,151,150,151,151,150,146,144,147,150,150,153,155,156,156,154,151,149,148,145,142,142,146,147,143,140,142,144,144,142,147,154,155,152,149,148,150,155,156,154,150,148,145,146,147,143,138,136,136,138,140,null],[102,105,114,124,128,128,127,131,134,135,133,133,133,132,129,127,128,131,131,130,129,128,129,130,127,126,127,128,127,123,120,119,114,108,106,109,112,113,112,113,113,114,115,117,118,118,116,115,116,120,123,126,130,131,132,132,132,131,129,127,126,123,122,128,131,129,129,131,131,131,131,130,130,132,133,133,132,132,131,128,126,126,125,124,124,122,120,118,119,125,129,127,125,123,120,118,118,121,123,123,122,121,121,121,121,120,118,116,112,109,109,116,125,126,122,119,120,125,129,128,127,127,129,129,130,132,131,129,130,132,133,134,133,130,124,121,124,127,127,127,127,128,129,130,130,129,127,128,130,135,137,137,136,136,137,139,138,137,137,138,136,132,130,128,130,134,138,138,135,133,134,136,137,139,139,137,135,134,131,129,127,123,121,122,128,134,135,134,134,134,135,135,135,136,136,133,131,129,126,123,119,116,115,117,121,125,127,129,128,125,126,127,124,120,118,114,108,101,99,101,106,109,110,109,108,109,111,110,111,113,116,118,117,114,112,113,115,117,117,118,120,120,120,120,120,122,123,124,124,124,125,126,128,129,129,129,129,129,130,131,131,130,128,129,131,131,128,125,125,129,131,132,133,135,135,135,134,135,136,135,133,131,130,128,131,137,138,135,133,135,138,139,139,139,139,140,139,138,137,136,137,135,134,135,136,137,137,138,138,139,139,139,138,137,138,138,138,138,137,135,135,135,134,133,134,135,136,139,141,142,143,142,141,139,138,139,139,137,134,133,132,131,128,127,127,126,127,127,128,130,132,134,134,134,136,138,139,140,142,142,141,140,140,141,142,142,141,141,141,141,143,146,144,142,142,143,144,145,142,139,137,136,135,133,131,131,133,134,136,138,142,144,142,137,132,130,134,140,141,141,143,144,144,146,145,141,138,139,143,144,144,144,146,148,148,147,147,148,149,146,139,133,133,137,139,139,137,132,128,129,129,129,132,134,136,137,138,143,143,139,136,139,144,146,145,144,143,141,140,140,142,145,148,148,147,146,146,148,150,151,151,149,150,153,156,154,149,145,146,146,148,153,155,153,150,149,147,145,143,143,144,146,149,148,143,140,144,149,149,146,146,150,152,152,153,151,149,152,155,154,150,147,147,148,146,140,135,134,137,139,141,null],[100,102,111,124,128,125,124,129,135,136,132,129,130,132,128,124,124,127,129,130,130,128,130,131,128,126,129,130,128,122,123,125,120,111,106,108,111,112,111,113,114,115,117,119,119,119,117,115,116,119,122,124,128,131,131,132,132,132,132,128,123,119,121,126,129,129,129,130,131,132,132,132,132,133,132,132,131,129,127,126,126,126,126,126,126,124,120,118,121,127,130,130,130,128,124,120,119,120,121,121,121,122,122,122,121,119,117,115,113,110,109,115,124,128,126,123,120,121,125,127,126,128,131,132,133,133,132,131,133,134,136,136,135,132,126,121,122,124,125,124,124,124,124,126,127,126,125,126,130,133,135,135,136,137,137,138,138,136,136,137,136,134,133,131,131,134,137,138,137,135,134,135,136,138,138,138,136,134,131,127,126,124,122,121,126,133,136,136,136,135,135,134,135,135,134,130,127,126,126,126,122,117,115,116,119,121,124,129,130,127,127,128,125,122,121,117,110,104,103,106,108,109,109,107,108,112,114,114,115,116,119,121,122,119,115,113,113,115,116,116,115,115,115,116,120,123,125,126,126,126,125,125,128,130,130,129,129,129,130,131,131,130,129,129,131,132,129,125,124,127,130,132,133,135,136,135,134,133,135,135,133,130,129,130,134,139,139,135,133,134,137,138,138,137,137,138,139,138,137,136,136,135,135,135,136,137,138,138,138,139,139,139,138,137,137,138,138,137,136,136,138,137,134,134,137,138,138,139,139,140,141,142,142,141,139,138,137,136,132,129,130,133,135,132,128,126,126,126,126,128,131,133,134,133,134,136,135,136,137,138,139,141,141,142,142,142,142,142,142,142,144,146,146,143,142,143,144,141,137,136,138,139,137,135,134,136,137,139,138,139,143,145,142,139,135,131,132,137,139,140,144,147,149,148,144,139,137,140,143,144,143,144,146,148,148,148,146,146,145,143,138,133,135,140,144,145,143,135,130,133,134,132,130,130,131,132,135,141,141,136,134,137,143,145,142,141,139,137,138,141,144,144,143,144,147,148,148,150,154,155,152,150,152,156,157,154,151,150,149,146,146,152,155,152,150,149,148,144,141,142,146,151,152,147,140,139,145,151,152,150,147,147,148,153,157,155,151,152,152,150,147,145,146,146,142,136,133,134,137,140,143,null],[101,100,107,118,123,123,124,129,134,134,130,127,127,127,125,123,125,126,127,129,130,130,132,133,129,126,128,130,128,123,124,130,126,114,104,104,109,110,110,112,114,115,117,119,120,120,119,117,117,118,120,122,124,126,127,127,128,131,132,128,120,119,123,125,128,129,130,131,133,133,134,134,134,133,132,131,131,128,124,125,128,129,127,125,124,122,118,119,122,126,129,131,132,131,127,123,121,120,119,120,121,123,123,122,121,119,117,115,113,110,109,112,118,124,128,128,126,123,122,123,126,130,134,135,135,134,133,134,135,137,137,136,133,130,128,128,128,127,127,128,127,125,124,125,127,127,126,126,128,130,132,133,135,136,136,137,138,136,134,134,134,135,135,133,132,132,134,135,137,137,136,135,135,136,136,136,136,135,131,128,127,127,124,122,125,131,135,136,137,135,133,132,133,134,135,132,128,128,131,130,126,119,116,116,117,118,121,127,130,129,127,127,124,123,120,115,108,104,106,111,112,110,109,108,111,116,118,118,119,120,121,122,125,124,120,115,113,114,115,114,114,113,113,115,119,122,124,126,128,128,128,127,128,129,131,130,129,129,130,131,131,130,130,130,131,132,129,126,124,126,130,132,132,133,134,135,135,134,135,135,133,131,130,132,136,138,138,136,135,135,137,137,137,136,135,137,139,140,139,137,136,136,136,135,135,136,138,139,138,139,139,139,138,137,137,138,138,137,138,139,140,137,134,135,139,142,141,141,139,138,140,142,143,142,140,138,138,137,134,130,130,136,140,136,129,126,127,127,126,127,128,129,130,131,132,132,131,130,133,134,136,140,141,142,142,143,143,143,143,143,145,147,146,144,144,144,141,136,134,138,141,140,138,136,136,137,139,141,139,138,143,146,142,139,136,131,131,134,134,135,141,146,150,148,144,140,139,141,142,143,143,143,145,148,148,147,145,142,140,138,135,132,134,139,144,148,146,139,134,137,139,137,131,129,130,131,133,138,139,135,135,138,144,143,139,137,137,138,142,146,146,142,139,142,146,147,149,152,154,154,152,153,155,156,154,153,153,154,153,148,145,149,154,153,154,153,151,146,142,143,148,153,152,146,139,139,144,149,153,154,151,149,148,152,157,156,153,152,149,146,144,143,142,140,138,135,134,135,138,142,145,null],[108,107,109,113,117,120,125,129,131,133,133,131,126,121,122,127,130,130,127,126,127,129,132,133,130,127,126,129,131,125,125,130,128,116,103,100,105,108,111,112,113,114,117,119,120,119,118,119,118,116,117,120,122,123,123,124,126,128,127,124,121,123,128,129,129,129,130,131,132,133,134,135,135,134,131,130,129,126,123,126,131,131,128,126,124,120,117,120,125,126,125,127,129,130,130,127,124,122,120,120,122,124,124,123,122,119,116,114,111,109,110,112,114,118,123,127,129,128,123,122,128,133,134,135,136,136,135,135,134,135,134,133,132,131,131,132,133,133,133,133,132,128,127,128,130,131,131,130,130,130,131,132,133,133,135,137,138,136,135,135,135,136,138,135,132,132,134,134,136,137,136,134,134,134,134,133,134,135,133,131,130,131,128,123,124,128,131,132,133,133,131,129,130,132,134,133,132,133,134,131,127,123,120,118,116,115,118,125,130,131,129,127,124,121,117,109,102,100,104,111,114,111,108,108,113,119,120,118,118,119,120,121,123,125,123,119,116,115,114,114,116,115,114,115,116,120,123,126,127,127,127,127,127,128,130,131,130,130,131,131,131,130,130,130,132,131,129,126,125,126,129,130,130,129,130,132,134,135,135,135,133,130,130,133,135,136,137,137,137,137,138,138,137,136,135,136,139,141,140,137,135,136,137,137,136,137,139,140,139,139,139,139,138,138,138,138,138,139,141,142,140,136,133,135,138,140,141,141,140,139,142,143,143,143,141,139,139,139,136,133,132,138,141,136,129,128,130,130,128,127,127,128,129,130,130,128,127,127,131,133,135,137,139,141,143,145,146,146,145,145,146,146,145,145,147,144,138,136,139,143,142,139,139,138,136,136,138,141,139,137,143,145,140,138,136,133,132,131,129,130,134,140,145,148,148,148,147,146,144,144,145,145,146,149,149,145,144,143,139,135,133,133,134,137,141,144,144,142,139,138,139,140,135,130,130,131,133,135,135,135,139,143,145,141,137,135,138,142,146,148,145,141,140,144,147,145,148,151,151,149,149,153,155,151,149,152,155,156,153,149,147,149,153,157,155,151,149,145,143,145,150,152,150,146,142,141,142,146,151,155,155,151,148,149,153,155,153,148,145,143,143,142,140,138,137,136,136,136,138,141,145,null],[117,117,115,113,112,115,121,125,126,130,135,132,123,117,121,130,133,132,129,126,125,128,130,132,131,129,128,131,133,129,127,129,128,119,105,98,102,108,112,112,112,113,115,118,119,118,119,121,121,118,116,118,120,120,120,122,124,124,123,122,122,126,130,132,132,131,131,132,132,133,133,134,135,134,131,129,128,127,126,130,133,132,131,129,126,121,118,122,127,127,125,125,127,129,131,130,126,122,120,120,121,123,124,125,124,120,116,113,110,110,113,116,116,116,118,123,130,131,126,123,127,132,134,136,136,136,136,135,134,133,132,132,133,133,133,134,135,136,136,136,134,131,131,132,133,134,135,135,133,131,132,133,132,132,134,137,138,138,138,138,137,138,139,136,133,134,135,136,136,137,137,136,135,135,134,133,133,134,134,133,133,132,129,124,123,125,126,127,128,130,129,128,127,129,131,133,135,136,134,129,127,128,127,122,118,115,117,122,128,130,131,129,126,121,115,106,99,97,101,108,113,111,108,110,115,119,119,117,116,118,120,120,121,124,124,123,121,119,116,117,120,120,118,116,115,117,121,125,125,126,127,127,126,127,129,130,129,129,129,130,130,130,129,130,131,131,130,128,127,127,128,128,127,127,128,129,130,133,134,133,130,129,131,133,135,135,136,137,138,138,138,139,138,137,135,136,138,140,139,137,135,136,137,138,138,137,138,138,139,140,140,139,139,139,139,138,139,141,144,143,138,133,133,135,137,138,139,140,141,141,143,143,143,143,142,141,140,140,139,136,135,138,140,135,130,131,134,134,130,127,128,128,128,128,128,127,126,127,130,131,132,133,135,138,142,144,145,145,146,147,147,146,145,146,148,142,137,137,142,145,140,137,140,142,139,136,137,140,138,136,143,147,142,139,138,138,137,133,128,129,133,136,138,144,149,152,152,149,145,145,149,148,148,151,149,147,146,145,141,136,134,134,135,135,138,141,142,143,142,138,139,142,138,131,129,131,134,134,134,136,141,145,143,139,136,135,140,145,146,144,142,143,145,147,147,144,145,148,147,145,147,151,152,147,147,151,155,155,153,150,150,150,153,155,152,146,145,145,144,145,148,150,148,146,148,146,142,143,147,152,153,151,149,148,149,152,151,147,143,144,144,143,140,138,137,137,137,138,138,140,144,null],[123,124,121,116,112,113,115,117,120,125,130,124,116,115,123,130,130,128,128,127,126,126,127,130,131,131,131,132,132,131,129,129,128,122,111,103,103,109,114,113,112,113,114,116,118,120,121,122,123,122,119,117,118,118,118,120,121,121,121,123,124,126,128,132,134,132,133,133,134,134,134,133,133,133,134,132,129,128,132,133,133,133,134,133,126,121,122,126,129,130,130,129,130,131,131,129,125,121,120,120,120,121,123,126,126,121,116,113,111,112,117,121,122,119,118,121,127,132,130,125,124,128,134,137,136,135,135,136,135,135,134,134,135,136,135,135,134,134,134,133,132,131,132,134,135,135,136,137,135,133,134,136,134,132,133,136,138,139,139,139,138,137,137,136,133,134,136,137,137,138,139,140,139,139,138,137,135,134,132,134,135,134,129,125,124,124,126,127,129,130,130,128,127,128,128,130,133,136,133,129,128,131,132,128,121,117,117,121,124,127,130,131,128,123,117,109,102,98,100,106,111,110,108,110,115,117,117,116,117,119,120,121,122,124,126,125,125,123,121,120,123,124,121,117,114,115,118,121,124,126,128,128,127,127,128,128,127,126,127,128,129,129,129,129,129,130,131,131,130,128,127,126,127,128,127,126,128,129,130,128,127,129,133,135,135,135,136,138,138,138,139,139,139,138,137,137,136,136,138,138,136,136,138,139,139,136,135,135,138,141,141,140,140,140,138,137,139,143,144,142,135,131,133,136,137,137,137,140,141,141,141,141,143,143,143,142,142,142,140,138,136,138,138,134,132,134,136,135,130,128,129,128,127,127,128,128,128,129,130,130,129,130,132,135,138,139,139,140,143,145,147,147,147,147,146,141,137,138,141,142,139,138,143,145,143,139,139,141,137,135,143,150,148,143,141,143,142,137,131,131,137,139,137,139,144,149,149,146,144,146,150,150,149,150,149,148,148,145,140,137,136,137,135,133,139,144,143,143,143,141,142,144,140,134,130,130,133,135,135,136,138,140,140,137,134,136,141,143,141,139,140,145,147,146,144,140,142,145,144,144,148,150,149,146,146,150,153,154,154,153,154,152,151,150,147,146,146,148,147,144,145,148,149,148,152,150,144,143,145,147,148,149,150,150,149,151,152,149,147,148,148,145,141,138,137,138,140,141,140,141,145,null],[129,127,125,121,119,117,114,114,115,120,123,117,113,118,127,132,130,128,128,129,128,128,128,130,132,132,133,131,131,131,132,131,128,124,119,111,106,109,114,115,115,115,115,115,117,119,121,122,124,125,124,121,119,117,118,120,121,119,120,124,127,127,126,129,132,133,134,134,133,133,135,133,132,134,135,134,131,132,135,135,134,133,133,131,124,122,127,130,131,132,132,132,132,132,131,128,124,123,124,124,122,120,120,123,125,122,116,113,113,115,119,122,123,120,118,119,125,131,133,129,124,124,130,133,133,133,134,135,135,135,136,137,137,137,136,134,133,133,133,134,133,133,135,137,137,136,137,138,138,136,136,136,135,134,133,136,138,139,139,140,138,136,136,135,134,134,136,137,138,140,141,141,141,141,141,140,137,134,133,135,137,135,130,127,126,126,129,132,134,134,133,132,132,131,129,129,131,134,134,132,131,133,134,130,123,117,117,119,121,124,128,131,130,126,121,114,107,101,100,104,109,110,108,108,109,110,112,116,118,119,121,121,122,123,125,124,125,124,122,123,125,126,122,117,114,114,116,119,123,125,126,127,128,128,127,126,125,126,127,128,129,130,131,130,129,129,131,131,130,129,127,126,128,129,129,128,128,129,129,127,127,130,133,135,135,136,137,137,137,138,139,139,139,139,139,138,135,135,137,137,137,137,139,139,137,135,135,135,137,140,141,139,140,141,139,139,142,144,143,139,135,134,134,136,137,137,137,139,140,139,139,141,143,144,144,142,141,141,140,139,137,139,139,135,132,133,136,135,132,129,128,127,128,129,131,131,131,130,131,131,131,131,132,134,135,136,136,137,139,142,144,146,149,150,148,142,138,137,140,142,142,141,142,144,145,142,142,142,137,134,142,150,151,147,144,146,144,137,131,132,137,141,141,141,141,142,143,143,141,143,148,149,149,148,147,146,144,141,136,137,139,139,135,134,140,145,145,144,144,145,146,145,142,139,134,131,132,133,133,135,136,137,137,135,134,138,141,140,139,139,142,144,143,141,138,136,138,140,141,144,149,149,146,146,146,146,149,151,152,155,157,155,152,151,151,152,152,152,149,145,144,148,150,151,154,150,144,144,147,147,147,148,150,152,150,150,151,153,154,153,150,144,140,137,136,139,142,144,143,143,147,null],[131,129,128,128,127,124,120,117,115,117,117,115,114,121,128,132,133,132,130,130,131,132,133,132,133,134,133,130,129,130,133,132,129,126,123,117,109,109,112,115,117,117,116,116,117,118,120,121,123,125,127,125,121,118,117,121,122,121,119,122,128,130,128,128,130,133,134,133,131,132,136,134,133,133,133,133,134,135,135,135,134,132,130,128,123,123,129,132,132,132,132,131,132,132,131,128,127,128,130,128,124,120,118,119,121,120,116,113,113,115,117,119,121,120,118,118,122,129,134,133,128,125,125,127,130,132,133,133,133,135,137,138,137,136,136,136,134,134,135,136,136,135,136,138,138,137,137,139,140,138,136,136,136,135,134,136,139,139,139,139,138,136,135,135,136,136,137,138,140,141,140,141,141,141,140,139,137,135,135,137,139,137,134,131,127,127,132,137,138,137,136,136,136,136,133,130,130,132,135,135,135,134,135,132,125,119,117,119,121,123,126,130,130,129,125,119,111,102,100,103,108,109,107,105,105,105,110,117,119,118,119,120,120,121,123,123,123,123,122,124,126,125,122,118,115,114,116,118,119,120,122,124,127,128,125,123,123,126,129,131,131,132,131,130,128,129,130,130,129,129,128,127,130,131,131,130,130,132,131,130,130,130,131,132,134,135,135,136,136,138,139,138,138,139,139,138,136,135,137,137,137,138,138,137,136,136,136,137,137,139,140,140,141,142,141,142,144,144,141,137,137,138,137,135,135,136,136,137,137,138,139,141,142,143,144,142,140,139,140,140,138,139,140,135,131,132,135,136,134,130,128,128,132,134,135,134,133,132,131,132,133,134,135,135,136,136,136,136,136,137,139,143,147,151,151,145,139,136,139,144,146,145,143,144,146,145,143,142,138,135,139,145,146,146,146,146,141,135,131,131,134,139,144,146,143,139,140,143,141,142,146,147,148,148,145,141,139,136,134,138,141,139,136,136,141,145,145,145,145,147,148,146,145,143,139,134,131,129,130,132,134,136,135,134,136,139,139,136,137,140,142,141,138,136,136,135,136,138,139,142,147,147,144,146,145,144,145,147,148,152,156,156,155,157,158,157,156,152,148,147,147,149,153,156,156,149,143,145,150,150,149,149,150,152,154,151,151,157,159,155,148,143,138,136,137,139,143,146,146,144,146,null],[133,133,133,134,132,129,126,122,120,117,114,113,116,120,124,128,131,133,133,131,132,133,135,134,135,135,132,131,130,130,131,131,128,126,127,121,112,109,110,112,116,119,118,117,118,118,119,119,122,124,124,123,121,119,118,121,124,124,121,121,126,130,132,131,131,133,133,132,130,132,135,134,132,131,131,132,135,137,135,134,134,132,130,127,125,125,127,129,131,132,132,133,133,132,131,131,132,133,132,129,126,123,121,120,118,118,116,114,113,113,115,118,120,121,120,118,120,125,130,134,134,131,127,126,128,131,132,132,133,136,139,139,137,137,138,139,138,137,138,139,137,134,134,136,137,138,138,138,138,136,135,136,137,137,135,136,139,139,139,138,137,135,135,137,139,139,139,140,140,140,139,139,141,141,139,138,137,137,137,138,139,138,136,132,127,126,131,136,137,136,137,137,138,137,134,131,128,130,133,135,137,138,137,134,128,121,118,119,120,122,124,127,130,131,129,124,113,102,98,103,108,109,106,104,105,107,111,115,117,117,119,119,119,119,122,123,124,124,123,123,124,124,123,120,117,116,116,116,115,116,119,123,126,126,123,121,122,125,129,131,132,132,130,129,130,130,129,129,129,129,128,128,129,131,131,130,131,132,133,134,134,132,131,129,130,132,133,134,136,137,138,138,138,140,139,136,135,135,136,137,137,139,138,136,137,138,138,137,137,138,140,141,143,144,144,143,144,144,140,136,137,139,136,134,134,133,133,135,137,138,140,140,140,141,142,142,140,139,140,140,138,137,136,133,131,133,137,137,135,130,128,131,137,139,138,137,136,134,131,130,131,133,136,137,137,138,139,138,136,135,136,139,143,148,150,147,141,137,138,143,147,148,146,146,148,147,143,141,140,139,139,140,141,144,144,140,137,136,134,133,133,137,141,144,144,143,144,145,144,146,149,146,147,149,146,140,137,137,138,143,143,138,137,140,145,146,144,145,147,146,147,148,147,145,141,136,132,129,130,131,133,134,133,134,136,136,134,133,135,137,137,137,137,137,138,139,140,142,142,142,142,144,145,146,146,144,143,143,145,148,151,154,158,161,159,155,154,150,146,147,150,153,157,159,157,151,145,146,149,150,151,150,149,153,158,156,153,157,158,153,147,142,138,137,139,140,144,147,146,144,146,null],[131,132,133,134,133,131,130,128,124,118,113,113,115,116,118,121,126,130,133,133,133,134,134,134,134,135,133,132,132,131,129,129,129,129,129,124,117,112,110,108,113,118,118,118,119,119,118,119,120,121,121,121,122,121,119,120,122,125,123,121,123,128,131,131,132,133,133,131,130,131,133,131,130,129,129,130,134,135,135,135,135,135,133,131,130,128,125,126,129,131,133,135,134,133,133,135,136,133,130,128,128,128,126,122,116,116,117,116,114,112,113,116,120,124,123,119,117,121,127,133,137,136,133,131,130,131,131,132,133,135,138,139,138,138,139,141,141,139,138,138,136,134,133,136,137,138,138,138,137,135,135,136,138,138,136,136,138,139,139,138,136,135,137,139,140,140,140,139,139,138,138,138,138,138,138,138,138,138,138,137,136,135,133,130,126,125,130,134,135,136,136,137,138,136,134,130,128,129,131,134,136,138,138,135,129,123,119,118,120,122,125,128,131,133,132,126,114,103,99,102,107,106,104,104,108,111,113,115,116,117,119,118,118,119,121,123,125,125,125,124,124,124,124,122,119,118,118,116,114,114,117,121,122,122,122,123,124,126,128,130,132,132,130,130,130,131,131,130,131,131,130,129,128,130,131,130,130,131,133,134,135,134,132,130,129,131,132,133,135,137,138,138,139,139,138,136,135,134,135,137,138,138,137,137,138,139,138,138,138,139,141,143,144,145,145,144,143,143,141,137,137,138,136,134,134,134,134,135,136,137,138,138,138,138,139,141,140,139,140,139,137,134,132,131,133,136,138,138,136,131,128,131,137,140,141,140,139,136,131,128,128,130,133,135,135,136,139,140,139,138,137,137,138,141,146,148,145,139,137,142,148,150,148,147,148,146,144,142,144,145,140,138,140,143,143,138,137,138,135,133,134,136,139,143,145,147,149,149,148,150,151,146,146,152,148,139,138,141,145,147,143,137,137,142,147,147,142,144,147,145,147,150,149,145,141,137,134,134,133,132,132,133,133,133,134,133,132,132,133,133,134,136,139,140,141,145,146,145,144,143,141,142,144,146,148,149,146,143,146,147,147,150,157,161,157,151,151,148,145,146,151,155,158,158,154,149,146,146,149,152,153,152,150,153,159,158,154,155,155,150,145,140,137,137,139,140,143,146,145,144,145,null],[129,128,128,130,131,131,132,133,127,120,117,115,115,113,113,116,120,124,129,131,132,133,133,133,134,135,134,134,134,132,129,130,132,133,131,128,124,119,112,107,110,116,117,118,121,120,119,119,119,120,120,122,123,123,122,119,119,121,123,122,123,125,127,127,128,131,131,129,129,130,130,129,128,129,129,130,132,133,133,136,139,138,135,134,134,132,127,124,126,129,134,136,135,134,135,136,135,132,129,130,131,131,128,122,117,118,120,118,115,112,112,115,120,125,125,120,116,118,124,131,135,137,137,136,134,132,132,132,133,134,136,138,138,138,139,140,140,139,138,136,136,136,136,137,138,138,138,138,137,136,136,138,140,139,137,136,137,138,139,139,137,136,138,140,140,140,139,137,137,138,138,138,136,135,135,138,139,137,135,133,130,128,128,127,127,127,129,132,135,136,138,138,137,136,132,130,130,130,131,133,135,136,136,133,128,122,118,117,119,122,126,130,132,133,133,127,118,110,104,103,105,104,102,105,109,110,112,115,117,119,118,118,119,120,121,122,123,125,126,126,125,125,124,123,121,120,121,120,118,116,116,118,117,118,122,126,128,128,128,129,130,131,131,130,130,130,132,132,133,133,132,130,129,129,130,130,130,129,131,133,134,135,135,134,132,132,133,134,135,136,137,137,138,139,139,137,136,134,135,137,138,136,135,136,137,137,138,139,139,140,141,143,143,144,145,145,144,143,142,140,139,138,136,136,136,138,139,136,135,135,136,136,136,136,138,140,140,139,139,138,135,132,130,131,134,136,136,138,139,135,130,130,133,138,141,142,142,137,131,129,129,129,130,130,132,134,136,138,141,142,141,139,136,137,143,148,146,140,137,142,148,149,148,146,147,146,146,148,149,147,142,140,143,145,144,141,140,139,135,132,135,138,141,145,147,148,149,150,150,152,151,147,147,153,148,139,138,143,148,149,144,138,136,140,147,147,141,142,146,146,148,149,148,144,139,137,138,139,136,133,133,134,134,133,132,133,133,132,132,132,134,138,141,141,143,147,147,145,144,145,145,143,143,146,151,154,150,148,152,152,148,149,154,158,156,152,151,148,146,147,150,153,156,155,151,147,146,146,148,153,155,154,152,154,159,158,154,153,152,148,144,139,137,136,137,138,141,145,145,144,146,null],[129,130,128,128,129,131,134,135,130,127,125,121,116,113,111,112,114,117,121,125,128,129,130,134,136,136,135,133,133,131,131,132,133,132,131,132,130,122,113,109,112,117,118,118,120,121,120,119,119,120,122,123,123,123,124,122,120,120,121,123,125,124,123,124,125,125,124,123,124,126,127,129,131,131,132,133,133,132,133,137,141,139,136,133,133,132,130,128,128,128,131,133,133,134,135,135,135,132,131,133,134,131,125,120,119,122,124,121,116,113,111,115,121,124,124,121,118,119,121,124,129,132,135,135,133,132,133,134,135,135,135,136,136,136,138,139,140,139,138,138,138,138,138,139,140,140,139,139,138,138,138,140,140,140,138,137,138,139,139,139,139,139,140,141,140,140,139,138,138,138,139,139,138,134,133,135,137,135,132,129,127,126,127,129,130,130,130,133,136,137,137,137,137,136,132,131,133,134,134,134,134,134,133,129,124,120,119,120,120,121,125,130,133,134,133,130,125,118,111,105,104,104,103,104,106,107,110,114,117,118,117,118,119,121,121,121,121,123,124,125,125,125,124,123,120,120,122,123,123,120,118,116,115,117,121,127,130,130,129,128,129,131,131,129,128,130,132,133,132,132,132,130,130,129,129,130,129,129,130,132,133,134,135,135,135,134,135,136,136,136,136,136,137,138,139,138,136,136,137,137,136,134,135,137,136,136,139,140,139,139,139,140,141,143,145,145,144,143,143,142,141,140,139,137,137,139,139,138,137,136,136,136,136,138,140,141,141,140,138,136,134,133,133,133,134,135,136,138,141,139,133,130,129,132,137,141,143,138,132,130,130,130,129,129,130,132,133,135,138,142,144,142,139,138,142,145,145,141,139,141,143,144,145,147,148,149,150,152,151,148,147,145,144,144,143,141,140,137,135,135,138,139,140,145,148,147,146,147,150,152,151,150,150,149,145,140,137,139,144,147,146,142,138,138,143,146,145,145,145,144,145,147,145,141,136,137,140,141,138,134,137,139,136,134,133,133,132,132,133,134,135,136,137,137,140,145,144,141,141,146,150,150,147,148,151,154,154,155,159,159,153,150,151,156,159,158,154,150,148,148,150,151,153,153,152,150,149,146,146,151,155,155,156,158,162,160,155,151,149,148,145,141,137,135,136,136,140,145,147,146,147,null],[129,132,133,131,130,132,133,134,133,133,132,126,120,117,115,113,114,114,115,119,122,123,126,133,136,135,133,131,130,129,132,135,135,133,131,134,133,122,112,109,114,119,118,116,118,120,121,120,119,122,124,124,122,122,124,124,124,123,121,123,126,125,123,125,125,123,121,121,124,125,125,128,132,134,136,135,133,132,134,137,139,137,135,132,131,131,133,133,131,129,130,132,134,133,134,134,134,134,133,132,133,130,122,118,120,127,128,123,117,113,112,115,121,124,123,123,123,123,120,119,122,126,128,130,131,133,136,137,137,137,136,135,134,134,135,137,137,138,139,141,141,139,138,139,140,140,139,138,137,138,138,140,140,140,139,140,141,141,141,139,140,141,141,141,140,139,138,138,138,137,138,139,139,135,131,130,131,131,129,127,129,130,131,133,135,133,131,132,135,136,136,137,137,136,133,132,135,136,135,134,134,132,130,125,120,118,120,123,122,121,122,126,131,133,132,131,128,122,115,109,107,106,105,103,102,102,106,111,114,116,117,118,119,121,121,120,119,121,122,123,123,124,124,122,120,119,121,125,127,125,120,117,116,117,119,123,127,129,128,127,128,130,130,127,127,129,131,131,131,132,132,132,131,130,129,130,129,129,130,131,133,134,134,135,135,135,136,137,137,136,136,136,138,140,140,138,137,138,139,137,134,133,135,138,135,135,138,140,139,137,136,138,140,142,144,144,143,142,142,141,142,143,141,138,136,137,138,139,140,139,138,137,138,140,141,141,140,140,139,136,134,134,135,133,134,136,136,138,142,142,136,131,128,129,131,136,140,140,136,133,133,132,132,132,131,131,132,133,136,141,144,143,141,140,140,142,142,141,142,143,142,141,145,147,149,151,152,153,150,147,149,149,146,144,142,140,138,138,139,139,138,136,136,141,145,144,142,142,149,152,152,153,151,145,142,141,139,139,141,146,148,146,140,136,139,146,151,149,145,144,145,146,143,139,136,139,142,141,137,137,142,144,138,136,137,135,133,132,135,138,137,134,132,133,136,140,139,136,137,143,151,153,152,150,150,151,153,156,159,158,154,150,150,155,160,161,157,151,150,149,151,152,153,153,154,154,151,146,144,148,152,154,156,160,164,162,156,150,147,146,146,143,138,136,136,136,139,145,148,148,149,null],[126,131,134,134,134,134,134,133,134,136,135,129,125,125,124,121,118,115,113,116,119,120,122,127,129,130,131,130,128,129,132,136,137,135,132,133,133,124,114,108,112,117,117,115,115,120,123,121,120,123,126,126,123,122,123,125,127,127,124,123,123,125,125,127,128,129,127,127,130,129,125,125,129,134,136,134,131,132,135,136,136,135,133,132,132,132,134,135,133,130,131,135,136,134,134,134,135,134,132,128,128,126,120,118,123,128,128,124,118,113,112,116,121,124,125,125,127,127,123,119,117,120,124,127,130,135,137,137,135,135,137,136,134,134,133,132,133,136,139,141,140,138,136,136,138,138,137,136,136,137,137,137,138,139,140,141,143,143,142,140,140,141,141,140,139,137,137,137,136,135,135,136,135,133,129,127,127,128,128,130,134,135,134,135,136,135,132,131,133,135,136,137,138,135,131,131,134,135,133,134,134,131,127,121,117,119,123,125,125,123,122,124,127,130,131,130,127,122,116,111,110,108,106,103,101,101,102,106,111,115,117,118,119,119,119,118,118,120,122,123,123,124,124,123,121,120,121,124,127,126,122,119,118,118,117,117,120,124,126,126,127,129,128,127,128,129,130,130,130,132,133,133,133,132,131,130,129,129,129,131,133,134,135,134,134,134,136,137,135,135,136,138,139,141,140,139,139,138,137,136,135,135,138,139,136,134,137,139,138,135,134,137,141,143,144,145,145,143,140,138,141,144,142,139,137,137,138,141,142,141,138,138,140,141,140,139,139,139,139,138,136,135,134,134,136,138,137,138,142,142,137,133,130,129,129,131,135,139,141,139,136,133,135,136,132,129,131,133,136,141,142,139,138,138,138,140,141,142,145,149,148,145,146,146,145,148,151,150,147,145,147,150,148,148,145,140,141,145,146,142,136,133,133,135,138,139,138,140,147,152,154,153,149,143,140,141,142,143,145,147,148,147,141,137,138,145,150,148,145,148,150,147,142,139,140,144,144,140,138,142,145,145,140,141,142,139,134,133,136,140,140,137,133,133,134,136,136,134,136,140,145,149,150,149,148,149,149,149,149,149,148,147,149,153,156,157,155,153,151,151,152,154,154,154,154,153,150,147,146,148,151,152,152,155,159,161,157,151,146,144,144,144,141,137,135,136,139,143,146,149,149,null],[125,129,133,134,134,135,134,133,134,135,133,131,131,131,132,130,126,120,116,117,119,121,123,125,125,124,124,126,127,129,131,132,134,133,132,133,133,128,119,110,110,114,116,115,114,119,122,121,120,123,126,126,124,122,122,125,127,128,127,124,121,123,128,129,130,133,132,131,134,134,129,126,126,129,131,131,133,133,135,135,134,134,133,132,133,135,136,136,135,133,134,137,138,137,135,135,134,131,127,125,124,122,119,120,126,128,127,124,118,114,113,117,120,122,125,127,129,129,127,123,120,120,121,122,127,132,134,135,135,135,135,134,134,135,134,132,133,136,138,137,135,133,132,132,132,134,135,135,136,137,137,136,136,138,140,142,143,143,141,140,141,142,141,139,138,137,137,137,137,136,135,134,134,132,130,129,130,132,133,135,137,137,134,134,135,136,133,131,132,134,136,137,137,134,131,131,134,134,132,133,134,132,126,120,117,119,123,126,126,126,123,123,127,131,131,129,126,122,116,110,108,107,105,103,102,103,103,104,107,113,117,118,118,119,118,117,117,117,118,120,122,123,124,123,123,122,121,123,126,126,124,123,122,120,117,115,116,120,124,126,128,128,127,127,129,131,131,130,129,130,131,133,133,132,131,131,130,128,127,128,130,132,133,133,133,135,137,137,135,135,138,139,139,138,138,138,139,138,136,135,135,138,140,140,137,135,135,136,136,134,136,140,143,143,143,144,145,143,140,139,142,144,143,140,137,137,139,142,142,140,138,138,140,140,137,135,136,138,139,138,138,138,138,137,137,137,137,138,140,140,138,136,133,132,130,129,132,139,145,144,137,133,135,137,134,129,130,132,135,138,138,136,135,136,137,138,141,143,148,152,152,149,150,147,144,146,149,147,145,145,145,147,147,148,147,143,145,150,148,141,135,135,136,135,134,135,138,143,147,152,155,152,145,141,140,142,143,145,147,149,147,145,140,138,140,144,147,146,146,149,150,146,141,139,144,149,146,141,138,143,147,146,141,143,147,143,136,134,135,139,141,141,139,137,135,135,135,135,136,137,139,142,146,148,148,147,146,144,142,141,141,142,145,149,150,150,153,154,153,153,154,155,156,155,154,152,149,146,147,150,153,152,149,149,152,154,156,154,150,146,146,148,146,140,135,136,140,142,146,148,148,null],[127,127,129,130,132,134,134,134,135,134,133,133,134,134,135,135,131,125,120,118,119,122,125,127,125,123,121,124,128,130,130,128,128,129,131,133,134,132,126,116,111,112,115,116,116,118,121,120,120,123,125,125,125,123,123,125,126,127,128,125,121,122,126,129,130,132,131,131,133,134,134,131,127,125,126,129,133,135,134,134,134,134,134,133,133,135,137,138,137,135,135,137,138,138,137,135,132,127,125,126,124,120,118,122,129,130,127,124,118,113,114,117,119,120,123,126,129,130,129,127,125,123,120,120,123,126,129,133,137,135,131,129,132,136,137,136,136,137,136,133,130,129,129,130,129,131,133,136,137,138,137,136,135,137,140,142,143,142,140,140,142,143,141,140,139,139,139,139,138,138,137,135,135,133,132,132,135,139,139,138,138,135,133,133,134,136,136,135,133,133,135,136,135,133,132,133,136,135,133,133,134,133,128,122,118,118,122,125,127,128,125,124,129,134,134,132,129,125,116,108,105,105,105,104,105,107,108,106,107,111,115,118,118,119,119,117,115,113,114,116,119,123,124,124,124,124,123,123,124,124,125,126,125,122,118,115,116,118,122,126,128,128,127,128,131,133,132,130,128,127,129,132,133,132,131,131,130,128,127,126,127,129,130,130,132,135,137,136,135,136,138,139,137,135,135,137,139,138,136,134,135,138,141,140,138,136,133,132,132,134,137,141,142,142,141,143,144,143,141,142,144,145,144,141,138,138,139,140,140,139,137,139,140,138,134,133,135,138,138,137,139,141,143,141,138,137,137,139,138,139,141,139,137,136,132,129,130,137,144,144,139,133,133,137,136,132,130,130,132,135,135,134,135,136,136,137,140,144,148,150,151,150,150,147,144,146,149,146,146,146,145,144,144,147,148,147,148,150,145,138,137,139,143,140,136,135,139,144,146,150,153,150,144,139,141,144,143,144,146,149,148,146,142,140,142,145,146,148,149,147,145,143,139,140,146,151,148,142,138,142,146,147,142,143,148,143,136,134,134,137,141,144,144,141,137,136,137,137,137,135,135,137,141,145,146,145,143,143,141,140,140,140,143,147,147,149,153,156,156,155,155,155,155,156,155,153,149,146,147,152,155,155,151,147,146,149,153,156,155,151,151,153,151,144,137,136,139,142,145,146,146,null],[128,127,127,128,130,132,135,136,136,135,133,134,134,133,134,136,134,128,122,118,118,121,125,128,129,128,127,128,131,132,131,129,129,130,130,132,134,136,132,122,112,109,114,118,116,117,119,120,120,121,123,125,126,126,125,125,127,127,127,125,121,120,123,127,129,130,131,132,134,135,136,134,130,126,126,127,130,131,132,132,132,133,133,134,133,134,137,137,137,137,137,138,137,136,135,132,129,128,130,132,128,120,118,123,131,133,131,126,119,113,113,117,120,121,123,126,128,129,129,129,128,126,123,122,121,121,124,130,136,134,129,127,130,136,138,138,137,134,131,130,131,132,133,134,133,133,133,135,137,137,138,138,138,139,140,141,141,140,139,140,141,142,140,141,142,142,140,139,139,139,138,137,136,133,132,134,138,140,141,139,138,136,134,134,135,138,139,138,135,134,135,137,136,133,133,136,138,138,136,135,135,134,130,123,118,119,123,126,128,129,125,123,127,133,136,134,130,124,116,109,108,107,105,104,106,111,112,110,110,112,114,116,118,118,118,116,115,114,113,114,118,123,125,126,125,125,125,124,123,123,125,127,127,123,118,115,115,116,119,124,126,125,125,128,131,132,129,127,127,129,130,131,132,132,132,132,132,130,128,127,127,127,127,129,131,134,135,135,136,136,137,136,134,133,135,138,139,138,135,133,134,138,141,141,139,136,131,129,130,133,135,137,140,141,143,144,144,143,142,143,144,144,143,141,140,139,140,141,139,138,137,139,140,138,135,135,137,139,138,137,139,143,145,144,142,139,140,141,138,139,143,143,141,139,134,129,127,130,137,142,141,135,133,136,137,136,133,132,132,132,132,132,133,134,134,137,140,143,146,148,149,148,145,143,143,147,149,149,148,146,144,144,147,150,150,150,148,146,142,139,137,139,144,145,142,137,136,139,142,146,150,151,147,141,143,147,147,145,144,147,151,151,146,141,142,146,149,153,151,146,144,144,141,142,147,151,149,143,139,141,146,148,143,145,147,140,134,134,136,138,140,144,147,143,139,138,139,139,138,135,134,135,137,140,142,141,142,142,144,145,145,146,147,148,148,151,156,160,159,156,153,152,153,155,154,152,150,149,149,152,156,157,154,149,147,149,154,158,157,153,151,152,151,146,139,136,136,139,141,143,146,null],[127,126,126,128,130,131,134,137,136,134,132,131,130,128,129,132,130,126,121,119,119,119,122,125,129,132,132,132,133,132,132,133,134,133,131,132,134,136,133,124,114,110,114,117,116,116,119,121,121,120,122,125,127,127,126,126,127,128,127,125,124,121,120,123,126,128,131,134,135,135,134,134,134,131,130,130,128,128,130,130,129,130,133,135,133,133,135,136,136,137,138,137,135,134,133,132,131,132,133,133,127,122,122,126,133,136,134,128,119,114,113,116,120,122,123,126,128,128,129,129,129,128,127,126,124,121,123,126,129,129,128,129,131,135,137,136,133,129,127,131,134,135,137,139,139,137,134,134,135,135,136,138,139,139,139,139,140,140,140,140,141,141,139,140,142,142,140,139,139,138,138,137,135,133,133,136,138,140,140,140,139,138,136,136,136,137,140,140,138,136,136,136,135,133,135,138,139,139,139,137,136,136,131,125,120,120,122,124,128,130,127,124,125,130,133,131,127,123,118,114,112,109,106,105,106,110,112,112,113,113,114,115,116,115,114,113,115,116,116,116,119,123,125,125,125,125,126,125,123,123,125,127,126,121,118,117,116,116,118,120,121,121,124,127,129,128,126,124,127,131,132,131,132,132,133,134,133,131,129,129,128,128,128,129,131,132,134,135,136,136,134,133,133,134,136,138,138,135,132,133,137,140,141,140,137,132,131,131,133,134,133,134,137,140,143,144,144,143,141,143,144,143,142,141,141,141,141,141,140,138,138,139,140,138,136,138,141,141,140,140,142,144,144,144,144,143,145,146,142,143,147,146,143,140,135,131,129,130,134,140,142,137,135,137,139,139,136,134,133,131,131,131,132,133,135,139,141,143,145,147,148,144,139,138,141,146,150,153,151,147,143,143,147,149,150,151,149,145,143,142,139,138,141,144,144,141,137,135,138,140,144,151,150,144,143,146,150,149,145,147,152,152,147,141,141,145,149,152,151,149,148,148,143,143,148,152,148,142,140,143,146,147,144,145,145,138,134,137,139,139,139,142,145,144,141,141,142,140,138,136,135,135,135,136,137,138,140,143,145,148,149,151,150,148,148,151,155,160,159,155,149,148,149,151,152,152,153,153,152,152,154,157,158,154,151,151,154,156,154,151,147,147,149,146,139,135,134,135,137,141,145,null],[125,125,127,130,131,131,134,136,134,131,129,128,127,126,125,124,125,123,121,121,120,117,117,121,126,129,130,132,132,131,131,134,136,135,134,134,135,134,130,124,118,114,112,114,117,118,118,121,122,120,122,124,125,125,125,126,128,129,128,127,128,125,120,119,122,126,132,135,136,133,132,134,136,136,136,135,132,130,128,127,127,127,131,134,134,133,133,134,135,136,137,135,134,134,134,133,133,133,130,125,121,122,126,131,135,137,134,127,120,116,113,115,120,121,121,124,126,127,128,129,130,130,130,130,129,126,124,123,122,124,127,131,132,132,132,131,128,126,127,131,134,135,136,139,141,139,135,133,133,133,134,136,137,137,137,137,139,140,140,140,141,141,139,140,141,140,140,140,139,137,136,135,134,133,135,138,140,140,141,141,141,140,139,137,136,137,139,140,141,139,137,134,132,134,137,139,139,138,138,137,137,137,134,127,122,120,121,122,126,131,131,128,126,126,127,126,124,123,122,119,115,110,107,105,106,107,109,111,113,114,115,116,115,113,111,113,115,117,118,119,120,122,123,124,124,126,127,126,124,123,125,127,124,119,120,120,119,117,115,116,118,121,123,125,125,125,125,125,127,132,132,132,132,133,134,134,133,132,130,130,130,131,131,131,132,132,133,135,136,134,132,131,133,136,137,138,136,132,130,133,139,141,141,137,131,129,132,136,138,137,136,135,136,138,140,142,143,142,141,143,144,143,142,141,141,141,141,140,140,138,139,139,139,137,137,140,142,142,142,145,148,147,143,142,143,144,148,148,145,147,150,148,142,138,134,133,135,136,136,138,139,137,136,139,141,139,137,136,134,132,131,132,133,134,136,140,142,143,145,146,144,140,137,137,142,147,151,154,153,148,142,140,143,145,147,150,150,148,147,146,143,140,139,140,144,146,142,136,137,138,140,147,149,146,142,144,150,152,150,149,149,148,145,143,142,144,144,145,148,152,154,150,144,143,150,153,147,141,141,145,147,145,143,144,144,139,138,142,142,139,137,140,144,144,143,144,144,141,139,138,137,136,136,135,135,137,140,143,144,146,149,150,147,144,144,147,151,155,156,151,146,145,146,148,151,154,155,155,154,153,153,155,158,157,153,153,154,152,149,147,144,143,146,144,138,135,135,136,137,139,141,null],[129,129,129,131,133,133,134,134,131,128,127,126,127,126,124,121,125,126,124,125,124,119,116,118,121,124,126,128,131,132,133,134,135,135,133,135,137,134,131,128,123,117,110,111,118,119,119,121,121,120,121,123,123,123,125,127,129,129,128,129,130,128,124,122,121,123,129,133,134,132,132,133,134,136,137,137,136,133,131,130,129,127,128,131,132,133,133,132,134,136,137,135,136,136,136,133,129,126,122,120,119,122,128,132,134,135,133,126,121,117,113,113,117,119,120,121,123,126,127,129,129,129,130,132,132,129,128,126,122,121,124,128,130,129,128,127,126,126,130,132,133,133,133,135,138,139,135,132,131,134,136,137,137,137,137,137,138,140,140,140,139,140,141,141,140,140,140,140,140,138,137,136,135,135,137,140,141,142,142,141,141,140,140,139,138,138,139,141,142,140,136,133,132,135,138,139,139,137,136,137,138,138,134,128,121,120,122,124,127,131,134,132,128,125,125,125,124,123,122,121,117,112,108,106,105,107,108,107,109,113,117,117,115,113,114,116,117,118,119,120,120,120,121,123,123,125,126,127,125,124,126,125,123,120,122,123,121,118,116,116,119,122,123,125,126,128,128,128,129,131,131,132,133,134,135,134,133,132,132,131,131,132,132,133,133,133,134,135,136,134,131,130,134,137,139,138,136,133,130,133,137,137,134,130,127,127,131,137,140,141,141,140,140,139,138,139,140,140,141,143,143,141,141,141,140,141,141,140,139,139,139,139,139,139,140,143,144,142,143,147,152,151,145,144,144,144,146,146,142,143,147,146,141,137,132,132,137,139,138,139,139,137,137,139,141,141,138,137,135,132,130,130,133,135,135,136,138,141,142,142,140,137,137,141,146,148,151,154,152,146,139,138,142,145,146,149,150,148,149,149,144,141,142,143,146,149,143,139,141,140,138,141,144,145,145,146,148,151,153,152,148,145,145,146,145,144,143,143,146,150,154,152,145,144,151,152,146,141,143,147,147,145,146,145,142,139,138,142,143,141,139,139,141,143,144,146,145,143,144,143,141,140,138,136,135,137,140,142,143,145,147,145,142,142,145,149,150,150,149,146,144,146,147,150,153,155,154,154,155,154,152,152,156,157,153,155,156,150,145,145,144,143,144,142,138,137,138,140,140,139,139,null],[134,133,131,130,132,134,135,133,131,128,127,128,131,130,127,125,127,130,128,130,129,123,118,117,118,120,122,125,129,132,134,133,133,133,132,134,137,135,134,134,129,118,109,110,118,120,118,120,121,120,121,122,123,123,124,127,128,128,128,128,129,129,128,126,124,122,125,129,131,132,134,134,133,134,135,136,136,136,135,134,132,130,128,129,131,133,133,133,134,136,137,135,136,136,134,128,123,120,121,123,122,123,127,129,130,132,132,129,125,120,115,113,115,118,119,120,122,125,128,130,130,129,130,132,131,130,131,131,128,123,121,124,128,129,129,128,128,130,134,134,134,134,133,133,135,137,135,132,132,136,139,139,139,139,138,138,138,139,139,139,138,139,142,143,141,140,140,140,140,140,139,139,138,136,137,139,141,141,141,140,140,140,140,141,140,139,139,141,141,139,136,135,135,136,137,138,139,137,135,136,139,139,135,127,121,121,124,127,128,131,135,135,130,126,127,129,129,126,124,124,121,117,112,108,107,109,107,104,105,112,117,118,116,116,118,120,120,120,120,119,119,119,120,122,123,124,126,126,125,125,125,124,124,123,123,124,123,119,117,118,121,123,124,126,129,130,130,131,131,130,130,131,134,135,135,133,131,131,131,132,131,131,131,133,134,134,134,134,134,132,129,129,134,138,139,138,138,136,133,132,131,128,127,127,128,129,130,133,138,142,144,144,143,141,139,138,137,140,143,144,142,139,139,139,139,140,140,139,139,140,140,140,140,141,144,147,148,145,143,147,153,152,148,146,146,145,144,141,137,137,140,141,138,136,131,130,134,137,138,141,142,138,137,139,142,142,139,137,136,132,130,131,134,134,132,131,133,135,136,137,136,137,140,147,152,149,148,151,150,143,136,137,144,148,148,146,145,146,149,148,143,142,145,148,149,148,143,142,145,143,137,138,142,145,149,151,148,149,152,153,150,147,148,149,147,145,146,146,146,146,149,152,147,145,150,150,145,142,143,147,147,146,148,146,141,137,136,139,143,145,144,141,140,142,144,145,145,146,148,147,142,140,139,136,135,137,140,141,142,144,145,142,140,143,148,152,151,147,144,145,146,148,150,153,155,155,152,152,154,155,152,150,153,155,153,156,158,152,146,145,147,148,145,140,138,141,144,145,144,142,140,null],[136,135,133,129,129,132,135,134,132,129,129,132,134,132,130,129,128,130,131,133,132,127,120,116,117,120,122,122,124,129,132,132,131,131,132,134,136,135,136,136,130,120,111,111,116,117,118,120,120,119,121,123,123,123,124,125,127,128,128,128,128,128,128,128,126,123,123,126,130,134,136,136,136,136,135,134,135,137,138,137,135,134,132,132,132,134,134,135,136,136,134,132,132,131,126,122,121,124,130,131,127,124,127,129,128,130,133,134,131,125,118,114,114,117,120,122,122,124,128,130,130,131,131,132,132,131,133,134,132,126,123,125,131,135,136,134,133,134,137,139,139,138,137,137,138,137,135,134,134,136,138,140,140,140,140,140,140,140,140,140,140,141,142,142,141,139,140,140,140,141,141,141,140,137,137,139,140,139,139,139,140,141,141,141,140,139,139,139,137,136,136,137,138,136,136,137,138,137,135,136,138,139,136,128,121,120,124,128,129,131,135,135,132,129,130,134,135,131,129,128,127,123,119,114,111,109,106,103,106,111,115,116,117,118,120,121,122,122,121,121,119,118,119,121,122,123,126,127,126,125,125,126,126,126,125,125,123,119,117,118,121,124,125,126,127,128,128,130,132,131,130,130,132,133,133,132,130,128,128,129,130,129,130,131,133,134,133,130,129,127,125,127,132,136,136,136,138,139,135,130,126,125,127,131,134,134,130,130,134,141,145,144,142,141,142,140,138,140,143,143,141,138,136,136,137,139,139,138,139,142,142,142,142,143,145,150,152,150,144,144,149,150,147,145,147,149,145,139,135,135,136,135,133,132,130,129,129,131,136,142,144,140,137,140,144,144,140,138,138,137,135,135,134,132,130,130,131,131,130,133,135,138,142,148,153,148,144,147,146,141,136,137,144,151,150,143,140,143,147,147,145,144,145,150,151,147,142,141,143,141,138,141,147,150,153,153,151,149,148,151,152,150,150,150,146,145,148,149,147,145,147,151,149,147,150,149,144,141,143,148,148,145,145,144,142,137,135,138,144,147,147,144,142,144,145,143,144,148,150,147,140,139,138,136,136,138,139,141,142,143,143,142,142,145,149,151,148,144,143,147,149,149,150,152,155,154,150,148,151,155,154,150,152,155,156,158,158,153,149,147,150,151,146,140,140,144,148,148,147,146,144,null],[135,135,132,130,129,132,134,134,132,131,132,134,134,132,131,132,130,130,132,133,133,131,124,117,116,120,123,121,121,124,127,128,128,130,133,135,134,134,134,134,132,124,115,112,114,116,117,119,119,120,123,124,123,123,124,125,126,127,128,128,128,128,127,128,127,125,122,123,130,134,136,136,137,138,137,135,134,135,137,138,137,137,136,134,135,135,134,136,138,136,132,129,129,128,123,120,123,132,139,138,132,128,130,132,132,131,133,136,136,129,119,113,115,118,120,121,123,125,127,128,129,130,131,131,132,133,134,134,134,128,123,125,133,138,140,139,137,136,138,141,141,140,139,139,139,138,137,137,137,137,137,139,140,140,140,140,140,140,140,140,140,141,141,140,139,139,140,140,140,141,141,141,140,139,139,139,139,138,139,139,139,140,141,141,140,139,137,135,134,134,136,138,139,138,136,136,137,137,137,137,138,139,136,130,123,120,123,127,129,132,135,135,133,131,132,136,139,137,134,132,131,129,127,123,116,108,104,106,109,110,111,114,116,118,119,120,120,121,121,120,119,118,119,121,122,123,126,128,127,125,125,126,126,125,125,125,123,119,116,117,120,124,125,125,125,124,125,129,131,131,129,128,130,132,133,131,128,125,124,125,126,127,127,128,128,129,129,126,124,123,123,125,128,131,130,130,134,135,132,127,125,129,134,138,139,135,131,128,131,138,143,142,139,139,142,141,139,140,142,142,140,137,135,135,136,138,139,139,140,141,141,143,145,146,147,150,152,151,145,142,146,147,146,144,147,149,145,139,137,137,135,133,132,132,132,130,128,130,134,141,143,142,139,139,142,143,142,142,143,143,141,139,135,132,130,130,131,131,130,132,134,137,139,143,147,144,143,146,146,141,136,137,145,150,147,141,140,144,147,148,149,146,145,149,151,149,144,142,142,140,139,141,146,150,152,153,155,152,148,149,151,149,149,150,147,145,147,148,148,149,150,151,151,151,150,148,145,141,143,148,148,145,144,144,143,138,135,138,143,147,149,147,146,147,147,144,145,148,148,145,141,140,140,137,137,137,138,139,140,140,139,141,142,144,146,146,142,140,144,148,150,149,148,149,151,151,147,145,146,151,151,150,152,156,158,158,156,153,149,146,147,149,146,141,140,144,147,147,148,149,148,null],[134,134,131,131,133,134,135,134,132,132,134,135,133,130,131,134,133,132,133,132,132,132,127,119,116,119,122,122,121,122,124,125,126,129,132,134,133,132,132,133,134,130,118,111,113,116,118,118,119,122,125,126,124,123,124,127,127,126,126,127,128,128,127,128,129,127,123,122,128,132,132,132,134,136,138,137,134,134,136,137,137,137,136,134,135,135,134,136,138,135,131,129,131,130,125,122,126,134,140,140,136,133,133,136,137,134,133,135,137,132,120,114,115,118,118,119,123,127,127,126,126,128,130,131,133,135,134,134,133,128,123,124,130,135,138,139,139,137,137,139,140,138,137,137,137,138,138,138,139,139,138,138,139,139,139,139,139,139,139,139,140,140,139,139,140,141,140,140,140,140,140,140,139,140,140,139,139,140,140,139,138,139,141,142,141,139,136,133,133,135,137,138,139,140,138,136,136,137,137,137,138,139,136,130,123,120,122,126,129,132,135,135,133,132,132,136,139,140,137,134,132,133,133,129,118,107,104,108,111,110,109,112,115,117,117,117,117,117,117,117,117,118,119,121,122,123,125,127,127,126,125,126,125,123,124,124,122,118,116,117,121,124,126,125,124,124,126,128,129,129,127,127,128,131,131,129,126,123,122,121,122,123,125,124,124,124,125,124,124,124,125,126,127,128,126,126,128,130,128,127,129,134,139,141,139,135,132,130,131,136,139,138,137,137,139,140,140,140,140,139,137,136,135,136,137,138,140,141,140,139,139,142,147,150,150,148,149,150,145,143,146,149,149,148,148,147,144,141,141,138,136,135,136,136,134,132,133,134,135,138,141,143,140,138,139,142,144,146,146,145,142,139,136,133,131,130,130,132,133,132,132,134,135,136,139,141,144,147,146,140,135,138,145,146,143,142,143,148,149,149,149,148,147,148,149,149,147,145,145,144,141,140,143,147,148,150,155,155,152,150,150,146,148,151,151,149,146,145,147,152,155,155,154,153,149,146,145,143,145,148,147,146,146,147,145,140,136,137,142,146,148,149,149,149,149,147,148,149,146,145,146,145,144,140,138,136,136,136,137,137,137,138,139,140,141,141,139,138,142,146,148,147,146,146,147,148,146,143,143,146,147,149,152,156,158,159,156,152,148,143,143,145,145,142,140,143,145,144,147,150,151,null],[135,135,133,134,135,136,136,135,133,133,134,135,134,132,133,135,135,134,134,133,133,131,126,120,117,119,121,123,124,125,126,126,127,128,131,132,132,131,132,134,134,129,119,111,110,114,118,119,119,121,123,124,124,123,124,127,128,124,123,124,127,127,128,129,130,128,124,122,125,127,127,127,128,132,134,134,133,133,134,136,136,136,136,135,136,136,135,136,136,135,133,133,135,133,126,122,125,130,135,139,139,137,136,137,139,137,135,134,135,134,126,118,114,116,118,119,122,126,127,126,127,129,130,130,132,133,133,133,133,129,125,122,124,130,135,137,137,136,135,137,139,137,135,135,135,136,136,137,137,137,137,137,138,139,140,140,139,137,137,137,139,139,140,141,142,142,141,141,140,140,140,139,139,140,140,139,139,140,140,140,139,140,142,142,141,138,135,133,135,137,137,137,139,141,140,138,137,138,138,138,138,138,135,130,124,121,123,126,128,131,134,135,134,132,132,135,139,141,139,136,135,135,135,130,119,106,104,108,111,110,110,111,113,115,115,116,116,116,115,115,116,118,118,119,121,123,125,126,126,126,125,124,123,122,123,124,122,119,117,118,122,127,127,126,125,126,129,130,129,127,125,124,126,127,127,126,124,122,121,120,120,121,123,123,122,123,125,127,128,129,130,130,130,130,127,124,124,126,127,130,133,135,139,140,139,136,136,135,135,134,133,134,135,135,136,137,139,140,138,135,134,135,136,137,138,141,143,143,141,140,141,144,149,151,150,148,150,151,147,145,149,155,157,155,151,147,144,143,143,138,132,136,141,142,136,133,137,139,138,138,140,143,142,139,139,141,145,144,142,141,139,137,134,132,132,132,130,132,133,132,131,132,133,134,136,138,141,141,139,136,135,138,143,142,141,143,148,150,148,145,145,146,148,148,147,147,147,147,147,147,147,146,147,150,146,145,149,154,155,154,150,146,147,152,157,154,147,145,148,153,157,160,157,152,147,144,145,148,149,147,146,146,147,148,147,142,137,139,141,144,145,147,149,148,148,148,149,150,148,148,148,147,145,142,140,137,135,135,137,137,135,136,137,137,139,138,138,138,141,144,146,146,144,143,146,148,146,144,144,146,148,148,151,154,155,158,157,153,147,144,145,146,143,141,141,144,144,143,146,150,152,null],[134,135,136,136,136,135,136,137,135,134,135,136,135,134,134,134,133,134,133,132,130,129,127,123,119,118,120,123,127,128,130,131,132,131,130,130,131,133,135,134,131,126,120,115,111,112,116,118,120,119,120,122,125,124,124,126,127,124,123,125,127,129,130,130,131,129,125,124,124,125,125,126,127,129,130,130,131,133,135,136,136,137,138,137,137,137,137,137,137,137,137,137,137,133,125,122,124,128,132,136,139,139,137,137,139,140,138,135,135,136,133,124,116,115,119,121,122,124,126,127,127,129,129,129,130,131,133,134,133,132,129,123,121,125,130,134,134,133,132,134,135,134,133,134,134,135,136,137,136,136,135,136,138,139,139,139,138,137,137,137,139,140,141,142,143,141,140,141,141,140,139,138,138,139,140,139,138,139,140,141,141,142,143,141,138,136,134,135,137,137,137,138,139,141,141,141,140,138,138,138,137,135,132,128,123,121,123,126,128,130,133,135,135,133,132,135,139,140,139,138,137,136,134,129,118,106,104,108,111,111,111,111,112,113,115,116,116,116,116,116,116,117,117,118,119,121,122,123,124,124,123,122,121,121,122,124,123,121,118,118,122,126,127,125,125,127,129,129,127,124,122,122,123,123,122,123,122,122,122,121,121,122,124,125,125,127,128,130,132,134,135,135,135,134,132,127,125,127,130,133,134,134,137,139,139,139,139,140,138,133,131,134,135,134,133,134,136,137,135,134,135,137,136,136,138,142,144,143,142,143,146,148,149,148,146,146,150,152,149,146,151,158,162,159,153,149,145,144,142,135,131,137,145,144,137,133,138,143,141,138,140,143,143,140,140,142,145,141,137,138,137,134,132,133,135,134,131,132,133,133,132,131,131,133,135,136,136,135,134,134,134,136,139,138,138,141,146,148,144,140,141,145,148,146,143,143,146,149,146,147,151,154,155,153,146,141,143,149,155,156,152,148,148,153,159,156,148,149,152,152,156,162,158,151,148,145,146,152,153,148,146,147,147,146,144,143,142,142,141,141,142,144,146,147,146,146,147,149,150,150,149,146,144,143,141,138,136,136,139,140,139,138,137,138,138,137,137,138,140,142,143,143,141,141,145,147,146,143,144,146,147,147,149,151,152,156,158,153,149,148,151,149,142,139,142,145,146,146,147,149,151,null],[132,134,136,136,135,134,135,136,136,136,137,137,136,135,132,131,130,132,132,129,126,128,131,130,123,117,119,123,126,129,130,132,135,135,133,130,131,136,137,133,128,125,125,124,117,112,111,116,120,120,118,121,126,125,123,125,127,126,126,128,130,131,132,134,133,129,126,126,128,129,129,131,132,132,129,128,131,134,137,137,138,138,139,138,138,139,140,139,138,139,139,138,136,130,123,122,127,132,133,134,136,138,139,138,138,139,140,139,138,137,136,130,121,116,117,121,122,122,124,125,124,126,127,127,128,130,133,134,134,134,132,127,122,122,125,129,130,129,128,129,130,129,130,134,135,136,138,139,139,137,135,135,136,137,137,137,137,139,140,139,140,141,140,140,139,138,137,139,139,138,137,137,138,140,140,139,139,140,140,140,141,141,140,139,137,135,134,135,136,136,137,138,139,140,141,141,140,139,137,136,134,131,129,126,122,121,122,124,127,130,132,135,136,134,132,134,138,138,137,137,137,137,134,129,119,107,104,109,111,111,110,110,111,113,115,116,116,117,119,119,117,117,117,117,117,118,119,119,119,120,120,120,119,120,122,125,125,123,119,118,119,121,123,123,123,124,125,125,123,121,121,122,122,121,120,120,122,124,124,124,123,124,126,128,129,130,131,131,133,134,135,136,136,136,135,133,130,130,133,134,134,134,137,139,139,139,140,140,138,133,134,139,139,135,133,132,133,133,133,135,139,139,137,135,137,141,142,143,145,147,150,149,146,143,142,143,147,151,150,148,149,154,157,155,151,147,145,142,138,134,134,141,146,143,136,132,138,143,143,139,138,144,144,140,139,143,145,142,138,140,139,134,133,135,138,136,133,135,138,137,134,130,129,131,133,133,132,134,136,136,134,134,135,135,135,137,142,144,141,139,141,144,145,142,138,140,146,148,144,144,150,157,157,152,146,143,143,147,152,154,153,150,151,154,156,152,149,152,156,152,154,161,157,152,151,148,148,153,155,150,148,148,146,142,140,145,148,146,140,138,141,143,143,145,145,144,145,146,148,149,149,146,144,143,142,138,137,137,140,143,145,144,141,139,138,137,136,137,138,140,140,138,137,138,141,143,143,141,141,143,144,145,147,149,150,153,155,153,151,152,154,151,143,139,141,145,148,149,149,149,149,null],[132,133,133,135,135,135,134,134,135,138,139,138,136,136,133,131,130,132,131,128,127,131,134,133,126,120,119,122,125,127,129,132,135,137,135,133,133,134,133,128,126,129,131,131,124,113,107,112,117,120,120,120,123,123,123,124,124,125,127,129,133,133,133,135,133,129,127,129,132,133,132,134,135,134,132,130,133,135,136,137,137,138,139,139,139,140,141,140,139,138,139,138,136,130,123,122,128,134,136,135,136,139,138,138,139,140,140,140,139,139,137,132,123,116,115,118,120,121,123,123,122,123,125,125,126,129,132,134,134,134,133,131,127,124,124,125,125,125,126,128,129,128,129,131,132,134,135,136,136,136,135,134,134,135,136,136,138,140,142,141,141,139,136,135,136,136,137,137,137,137,138,138,139,139,140,139,139,139,139,139,140,140,139,139,138,137,137,136,135,135,136,138,139,140,140,141,142,140,136,132,130,128,128,126,122,120,122,124,125,128,131,135,136,134,132,133,135,135,134,135,137,138,137,132,123,111,105,108,110,111,111,111,112,115,115,115,115,117,120,121,119,118,117,117,116,117,119,119,118,118,119,120,120,120,121,124,126,126,123,119,117,117,119,120,121,121,121,121,120,121,123,125,124,123,123,123,123,125,126,126,125,125,126,127,129,130,131,131,131,132,134,136,137,135,136,136,134,132,132,134,135,136,138,139,139,138,138,139,137,136,137,140,140,137,134,133,134,134,135,138,141,140,137,136,137,140,143,145,147,149,150,148,143,142,144,145,147,150,151,150,150,151,152,152,148,144,142,139,135,135,139,142,144,142,136,133,137,142,143,139,138,143,145,142,140,141,144,144,142,143,141,137,135,137,139,137,134,137,141,140,137,133,130,131,132,132,132,135,140,143,140,137,134,132,132,134,137,139,139,139,140,140,140,138,138,141,144,144,142,144,148,151,149,146,146,148,149,149,151,153,153,150,155,161,158,152,150,154,157,153,155,161,156,151,151,150,149,152,153,150,150,148,145,140,140,147,151,147,140,139,143,144,142,142,144,145,145,146,148,150,150,147,145,144,143,139,137,137,140,143,145,145,143,142,140,139,139,140,139,138,137,135,136,138,139,140,140,140,140,142,145,148,150,150,151,153,154,154,153,153,153,151,145,140,140,142,146,149,149,149,148,null],[133,132,131,133,134,134,132,131,132,135,138,137,137,137,135,134,134,133,132,130,132,135,136,134,130,125,120,120,123,123,125,129,133,136,136,136,135,131,127,125,129,133,133,133,128,117,108,108,113,117,118,117,119,121,123,122,122,123,125,127,132,133,133,134,132,127,127,131,134,134,133,134,135,135,134,134,135,135,135,135,135,138,140,141,141,140,140,139,138,138,138,137,135,130,122,121,125,132,136,137,137,137,137,138,140,140,139,139,139,139,137,131,122,116,114,115,118,121,122,123,123,123,123,125,126,127,130,132,132,133,134,133,132,130,128,126,124,123,125,129,131,131,131,131,130,131,131,131,132,135,134,133,134,135,136,137,138,139,140,140,139,136,133,133,135,137,137,136,136,138,139,139,139,139,139,139,138,139,140,141,140,139,138,139,140,140,139,137,134,133,135,138,139,139,139,139,141,141,136,131,129,129,130,127,123,121,123,125,126,127,129,132,134,134,134,133,133,133,133,133,136,139,139,135,127,116,109,107,108,111,113,112,111,111,112,113,114,116,119,120,120,119,118,116,117,119,122,122,121,121,122,123,123,122,122,123,125,127,124,120,116,115,117,119,120,121,121,121,121,123,126,128,128,128,128,127,126,126,127,128,127,125,124,124,126,127,129,130,131,131,133,136,137,134,135,136,136,133,130,131,135,137,139,139,138,137,136,137,138,139,138,139,140,140,137,136,137,137,139,141,142,140,139,139,140,142,145,147,147,146,146,143,140,143,148,149,149,150,150,151,152,152,150,150,147,142,140,138,137,140,144,143,142,141,136,132,135,140,143,141,140,143,146,146,143,141,143,146,147,144,141,138,138,139,139,137,135,137,141,142,140,136,133,133,135,135,135,137,141,146,147,143,137,133,133,135,136,135,136,138,138,136,135,135,138,142,143,142,143,145,146,143,140,140,146,151,152,151,151,153,154,154,160,166,161,153,151,156,160,157,160,164,158,151,149,151,152,151,150,149,149,147,146,144,144,148,148,144,141,142,144,145,143,142,142,145,147,148,150,152,151,149,147,147,145,141,138,137,139,142,143,144,143,144,144,143,143,142,140,139,138,136,138,140,139,138,140,142,143,145,149,153,153,153,153,153,153,153,152,150,151,150,146,141,138,139,142,145,147,149,149,null],[133,132,129,130,130,129,129,129,129,130,132,135,137,138,137,136,136,134,133,133,136,137,137,137,135,130,122,121,123,121,122,126,130,134,135,136,136,132,127,127,131,133,133,132,129,122,113,108,109,111,112,112,115,119,122,123,124,126,126,127,131,133,134,134,130,126,128,133,135,134,133,133,135,136,136,136,136,136,136,136,137,139,141,141,142,141,141,140,138,137,135,133,130,126,121,120,123,129,132,133,134,134,136,138,139,139,137,138,140,141,138,132,123,116,113,114,118,121,122,124,125,123,122,125,126,125,126,128,130,132,134,134,135,137,136,132,127,123,124,129,134,136,135,134,134,133,133,133,135,137,137,135,137,138,137,137,136,135,135,136,135,134,134,135,137,138,137,137,137,139,139,138,138,139,140,139,138,139,141,141,141,140,139,139,139,139,140,138,134,134,136,139,139,138,137,137,139,139,138,135,133,133,131,128,124,122,123,126,129,129,129,129,130,133,136,136,136,135,134,134,136,138,138,134,128,121,114,107,106,109,111,108,103,101,104,110,114,115,116,117,119,119,119,118,117,119,121,123,124,124,125,128,128,125,124,124,124,125,124,119,117,117,119,121,123,124,124,123,123,124,127,129,129,129,129,129,128,129,129,130,130,128,126,124,123,123,126,129,131,131,133,135,135,134,135,136,136,133,130,130,133,137,140,140,139,137,137,138,140,141,140,139,141,141,139,136,137,140,143,145,144,143,142,143,143,144,144,144,142,139,139,138,137,141,147,148,148,148,147,148,152,152,149,148,146,142,140,140,142,145,146,144,143,141,135,131,134,140,143,145,144,143,144,146,147,147,147,149,148,143,139,137,139,141,140,137,135,138,142,142,140,137,135,135,136,138,138,136,138,143,147,146,141,137,137,137,137,136,135,136,136,136,136,133,136,143,145,144,144,143,141,140,139,140,144,148,148,147,149,151,157,163,168,167,159,152,152,161,167,166,167,169,164,158,155,155,155,154,150,148,147,148,148,150,151,149,145,140,143,147,145,144,147,145,143,144,145,147,150,152,150,148,148,147,146,142,139,138,140,144,146,144,143,145,146,145,142,140,140,141,143,143,143,143,139,138,141,145,148,150,151,152,152,152,152,150,148,150,150,148,148,146,144,141,139,138,139,140,142,147,149,null],[128,128,128,128,128,129,129,129,129,128,129,132,136,137,137,137,136,135,135,137,138,137,137,139,136,130,123,123,126,122,121,125,129,132,134,135,135,134,132,131,131,131,132,133,131,126,120,114,112,110,109,109,113,115,118,121,125,128,129,128,130,133,135,133,128,124,128,135,137,135,134,135,137,138,138,138,137,137,138,139,140,141,142,142,142,141,140,140,139,136,132,129,127,126,123,122,124,128,130,128,130,133,135,137,139,138,136,137,141,142,140,135,127,118,113,115,119,121,122,124,126,125,123,124,126,126,127,128,129,131,133,135,137,139,140,138,133,127,125,127,132,136,138,138,138,138,137,138,139,139,139,139,139,139,136,134,133,132,133,134,133,134,136,138,137,137,137,138,139,139,138,137,137,139,140,140,140,140,141,141,141,141,141,139,137,138,141,140,137,135,137,139,139,137,137,136,135,136,137,138,137,136,133,130,126,123,122,126,129,130,129,128,129,132,135,138,138,137,136,135,136,137,136,133,128,123,116,110,107,106,106,103,98,95,100,108,113,113,114,116,118,119,118,117,116,117,118,121,124,125,127,129,129,127,126,125,124,124,122,120,120,122,122,122,123,124,125,126,125,126,127,128,129,129,129,129,130,131,132,133,133,132,130,127,123,122,124,127,130,131,133,133,134,136,136,137,137,135,132,131,132,135,138,140,140,138,138,139,141,142,142,143,142,141,139,137,138,141,144,145,145,145,145,144,142,140,139,137,136,134,135,136,137,140,144,145,147,148,147,146,148,148,147,148,147,145,144,144,146,146,144,143,143,141,135,131,134,139,143,146,145,141,141,145,150,152,150,148,145,140,137,137,141,142,140,136,134,139,144,144,141,137,135,134,136,141,142,141,137,139,146,149,145,142,140,139,139,139,138,139,140,140,137,133,134,140,145,145,144,141,139,142,145,144,144,145,146,146,148,150,156,167,171,166,160,155,156,164,170,166,165,170,170,168,164,159,156,156,151,146,145,150,152,153,152,148,143,141,147,151,147,146,149,149,145,142,142,146,147,148,146,146,146,146,145,143,141,139,140,145,147,143,142,145,148,147,141,138,139,142,146,149,148,146,141,140,143,146,148,149,148,147,147,148,150,149,148,150,151,149,146,143,143,143,142,141,139,138,141,145,148,null],[122,123,125,126,129,134,134,131,132,131,129,130,133,135,137,137,135,134,137,138,137,135,135,134,131,126,122,126,130,127,123,124,128,131,133,133,134,135,135,135,131,129,133,135,133,131,127,122,117,114,112,112,113,111,112,117,123,129,131,131,131,132,135,133,128,124,130,138,139,137,137,138,140,140,140,139,138,138,137,139,141,143,143,142,140,139,138,139,138,134,128,127,130,132,128,125,127,132,132,127,128,133,135,138,139,138,136,136,139,143,143,138,130,119,113,116,121,122,122,123,126,126,125,123,125,128,129,130,131,131,132,135,137,137,138,139,138,133,128,125,127,131,135,138,138,138,137,137,138,139,139,139,138,136,133,131,131,132,134,134,134,135,137,137,136,136,137,139,140,139,138,138,139,140,140,140,140,140,140,141,141,141,140,139,137,138,141,142,139,137,138,139,139,139,139,138,134,132,133,137,138,136,134,131,127,123,121,123,126,128,130,131,132,132,133,136,139,137,135,135,136,137,136,134,130,124,117,113,109,105,100,98,98,99,102,108,112,113,114,116,118,118,116,115,115,115,116,118,122,124,126,126,126,126,126,126,125,124,123,123,125,126,124,121,121,122,123,125,126,127,127,127,128,128,128,129,131,132,134,136,136,135,134,131,126,122,122,125,128,130,131,132,134,137,138,138,138,138,136,135,134,133,135,139,140,139,139,140,141,143,144,145,143,140,138,137,137,140,141,140,141,144,145,142,138,135,133,133,134,135,138,140,141,142,144,146,147,149,149,147,144,143,146,148,149,148,149,148,146,143,142,141,141,139,136,134,134,136,140,142,141,140,140,145,152,153,149,144,140,137,138,141,143,142,140,136,135,139,144,145,143,139,136,134,134,141,146,146,142,140,145,150,148,145,140,138,138,140,143,146,146,143,139,135,135,138,141,143,142,141,142,147,150,150,146,145,148,150,149,149,154,163,169,168,164,161,161,164,163,159,159,166,173,174,167,159,155,154,150,144,147,152,152,149,146,143,144,147,152,153,149,146,148,149,146,142,142,144,143,142,143,143,143,144,145,144,143,141,139,141,142,140,141,147,150,149,144,139,139,141,145,149,151,149,143,141,143,143,143,144,143,142,143,145,149,151,152,152,152,150,145,143,146,147,146,144,141,140,142,145,147,null],[127,124,123,125,131,137,136,133,134,133,132,131,132,135,137,135,133,132,134,135,133,130,129,128,125,123,124,129,133,132,127,123,124,128,129,131,134,136,138,138,134,130,134,135,133,134,133,126,120,117,118,117,115,111,110,115,121,126,129,131,131,133,135,132,128,126,132,138,138,137,138,141,142,142,141,140,140,140,138,139,141,142,142,141,138,137,136,137,135,130,127,128,135,137,130,125,129,135,136,130,129,131,134,138,140,139,137,135,138,141,142,139,131,118,112,117,121,123,122,123,126,128,127,124,123,127,129,130,131,132,132,134,135,134,136,139,140,137,133,128,126,126,129,131,133,134,133,133,133,134,134,134,133,132,132,132,133,134,136,136,136,135,135,135,135,135,137,139,140,139,139,139,140,141,140,140,140,140,140,141,141,140,139,139,138,138,141,142,141,139,139,139,139,140,142,141,135,131,131,136,137,136,135,133,128,124,121,121,122,125,128,132,134,132,130,133,137,137,135,135,136,135,134,135,134,127,120,116,110,103,98,99,103,107,110,112,113,114,115,117,118,118,116,114,114,115,116,118,121,123,124,124,124,125,126,126,125,124,124,125,126,126,125,123,121,121,123,125,126,126,126,127,128,128,128,130,132,131,133,136,137,137,135,133,129,126,124,124,126,128,130,131,134,137,138,137,138,139,139,138,135,133,133,136,138,138,138,140,143,143,144,144,143,140,137,135,137,138,136,134,135,138,139,138,136,136,136,136,138,142,146,146,145,144,146,147,147,147,149,146,140,141,145,147,148,149,151,150,147,143,142,140,138,136,135,136,136,135,135,138,142,143,144,147,151,152,147,143,140,139,141,143,143,141,138,136,136,138,141,145,145,142,137,133,133,138,143,146,145,143,145,148,150,146,141,140,138,139,144,148,149,146,142,138,137,137,139,143,144,143,142,145,149,150,148,147,152,153,151,150,153,157,164,167,165,163,162,159,156,157,161,166,173,173,164,157,153,152,149,147,150,153,148,144,143,143,146,153,154,151,147,145,146,148,148,147,146,145,143,143,144,144,143,143,146,148,146,142,138,140,142,141,143,149,150,149,146,142,139,140,143,146,148,149,143,140,141,140,140,141,141,142,141,145,150,154,154,152,150,148,145,145,148,150,148,143,140,140,142,144,145,null],[135,130,124,126,132,135,136,135,134,134,134,133,133,135,136,135,131,130,131,131,129,128,126,124,122,123,126,131,135,135,130,123,122,123,125,130,135,138,138,138,135,133,133,134,134,137,136,127,120,118,121,121,117,112,112,116,120,122,126,129,131,133,134,131,129,129,133,138,138,137,138,140,141,141,141,141,142,142,140,140,140,141,141,140,138,136,137,137,133,129,128,132,138,138,129,126,129,136,139,135,131,130,133,136,138,137,135,135,136,137,138,136,129,118,112,115,121,123,123,123,125,128,128,126,124,124,125,128,131,133,133,133,132,133,135,138,139,138,136,132,129,128,126,126,127,128,128,129,130,130,130,129,130,131,133,135,136,137,137,137,137,135,134,135,137,137,138,139,140,140,139,139,140,141,141,140,139,140,141,141,140,139,138,138,138,138,140,141,141,140,140,139,138,139,141,141,138,133,131,133,136,136,135,132,127,124,123,123,122,123,127,132,135,133,130,132,135,136,136,135,136,134,131,132,133,131,127,120,111,102,98,99,104,109,113,115,114,114,113,115,116,116,116,116,116,115,116,118,121,122,122,123,124,126,127,127,125,126,126,126,125,124,126,125,123,122,123,125,125,124,126,128,128,128,129,132,132,131,133,135,137,137,137,134,131,129,127,124,124,125,127,129,132,135,135,135,137,139,140,139,136,134,134,135,136,137,138,140,143,143,141,140,140,138,134,132,133,134,132,131,131,131,133,135,138,141,143,142,143,146,149,148,145,146,148,147,145,144,145,144,140,140,144,145,145,147,148,148,146,144,143,144,140,134,134,137,139,136,133,138,145,149,149,148,148,148,146,145,144,143,144,145,144,141,136,135,137,139,141,145,146,143,138,134,133,135,138,141,145,147,146,147,148,148,145,143,140,139,141,144,148,148,146,142,138,137,138,141,145,145,141,142,145,146,146,148,153,154,152,153,154,155,158,161,161,161,161,154,152,161,168,170,169,165,159,155,152,150,150,151,152,151,146,144,146,146,149,153,153,149,145,144,146,146,148,152,151,148,147,148,148,147,145,145,148,152,148,141,138,140,144,147,148,148,147,147,147,144,139,139,142,144,146,147,144,141,139,139,140,141,141,141,142,145,150,152,152,150,148,148,147,148,149,148,145,141,139,140,141,142,144,null],[134,133,129,128,131,131,133,134,134,133,135,135,136,135,135,136,132,131,131,131,130,131,129,125,123,124,128,134,137,136,133,128,123,121,124,130,135,137,136,134,134,133,132,133,136,138,136,128,120,118,120,122,117,113,112,114,119,122,126,128,130,132,133,132,130,130,134,139,140,138,136,137,140,141,141,141,142,143,142,141,140,140,141,141,139,139,140,138,134,131,133,136,138,135,128,126,130,137,141,139,135,132,131,132,133,132,133,134,135,133,133,132,127,119,113,114,119,122,123,123,124,125,127,128,126,123,123,126,130,133,133,133,132,133,135,138,138,137,135,133,132,133,131,128,126,126,126,129,131,130,130,131,132,134,136,138,139,139,140,140,139,137,136,138,140,140,139,138,139,139,139,139,140,140,140,140,141,142,141,140,138,137,138,139,139,139,140,141,141,140,139,139,138,136,137,139,141,137,132,132,135,136,134,130,125,124,126,127,125,124,127,132,134,133,132,133,135,135,134,135,136,135,131,128,128,131,132,126,114,102,96,97,101,106,109,112,113,112,111,112,114,115,117,119,119,117,116,117,120,121,122,125,125,126,128,128,127,128,128,126,125,125,127,126,122,121,123,124,124,124,125,126,127,128,130,131,132,132,134,136,137,139,139,136,133,132,129,125,123,123,124,125,127,131,132,132,135,138,139,139,138,137,136,135,135,136,138,139,141,142,139,135,135,134,130,128,129,131,132,133,133,132,133,137,142,145,145,145,145,145,143,142,142,146,148,146,143,142,141,141,141,141,143,144,143,144,145,145,145,144,144,148,145,137,134,138,143,141,136,139,146,150,150,147,144,145,146,148,148,146,146,148,146,142,136,134,138,142,145,147,146,142,138,134,133,133,134,137,143,148,149,148,147,149,150,146,144,143,140,139,143,148,149,145,140,137,136,138,141,143,141,143,143,141,141,145,149,152,154,155,156,155,154,153,154,158,160,152,150,161,172,172,165,158,154,152,151,150,152,153,151,148,147,150,152,150,149,152,150,147,146,148,149,147,147,155,156,152,152,153,152,148,145,147,151,152,147,140,138,141,147,151,150,145,142,144,147,145,139,138,141,146,147,145,146,144,140,140,142,142,140,139,141,144,147,149,150,150,150,151,152,153,149,145,142,140,141,142,141,139,140,null],[127,130,132,133,132,131,132,133,133,132,134,136,137,136,136,137,134,134,135,134,134,135,131,125,123,126,132,136,136,136,135,133,128,122,123,127,131,133,132,131,132,132,131,132,135,136,135,130,124,120,121,122,119,114,112,112,117,122,126,129,132,133,133,133,131,128,131,137,139,139,136,137,140,142,141,140,142,143,142,140,139,140,141,142,140,139,140,138,135,135,138,139,138,135,128,125,129,136,141,140,137,135,133,132,132,132,133,135,134,132,133,132,128,122,116,114,117,121,123,123,123,124,127,129,129,127,125,125,127,131,132,132,132,133,135,136,137,137,135,132,133,137,137,133,131,128,127,130,134,134,134,135,135,136,137,139,141,140,140,141,140,139,139,139,141,141,140,139,139,140,139,139,140,140,140,141,141,142,140,138,137,137,139,140,140,140,140,140,140,139,139,139,138,135,133,136,140,137,133,133,136,137,133,127,123,123,126,129,129,126,127,130,131,132,132,133,134,134,134,134,136,136,132,127,124,126,129,125,115,103,98,98,101,104,107,108,109,109,110,112,113,114,116,118,119,118,117,117,120,122,124,126,125,125,127,127,128,128,128,127,126,127,128,126,122,121,122,124,125,125,125,125,125,127,130,130,131,132,134,136,137,139,140,138,135,132,130,128,126,124,123,123,125,127,127,128,132,134,136,138,139,139,137,136,136,135,135,135,137,139,136,131,131,133,130,130,131,131,133,136,138,138,137,139,141,143,144,145,145,141,138,138,142,145,146,142,139,138,138,140,142,144,144,145,145,145,145,147,147,147,147,149,146,139,138,143,147,145,139,138,143,146,146,143,142,143,147,149,149,148,148,148,145,140,135,135,141,147,149,147,145,142,138,134,133,134,135,136,142,147,148,146,146,150,152,149,147,148,144,140,140,144,148,147,144,140,136,135,137,139,140,142,142,139,140,144,147,151,154,153,153,155,152,149,151,156,159,153,150,160,168,167,160,154,152,152,151,152,154,153,149,147,152,156,156,153,152,153,150,146,148,152,152,149,149,156,157,152,152,152,150,146,146,150,151,148,143,139,140,142,147,152,150,144,140,142,145,145,141,139,141,146,149,149,150,148,146,143,143,142,140,139,141,144,145,147,147,147,148,151,156,155,149,143,140,142,143,143,141,139,140,null],[123,125,132,135,135,134,133,133,132,133,134,135,136,137,138,138,136,136,137,137,136,136,130,123,123,129,135,136,135,135,137,136,132,125,121,123,127,130,130,131,131,131,132,132,133,133,134,133,128,123,122,123,120,117,114,111,113,120,125,129,133,134,133,132,130,127,127,131,134,135,136,138,142,144,142,139,140,141,140,139,139,140,141,141,140,139,137,136,135,139,140,139,139,137,129,124,127,135,140,139,138,138,137,137,137,136,136,135,134,134,136,136,131,125,119,115,116,119,122,123,124,124,127,129,131,131,128,125,125,128,130,131,131,132,133,135,136,136,135,133,134,138,139,137,136,133,130,130,133,136,137,138,136,136,138,140,141,140,140,141,141,139,138,139,140,140,140,140,141,141,140,140,140,141,141,140,141,141,139,138,137,138,139,140,140,139,138,139,139,139,140,140,138,135,133,135,137,135,132,136,139,137,132,125,122,122,126,130,130,128,126,126,127,130,131,132,132,133,134,135,135,135,134,131,126,122,121,119,113,106,102,102,105,108,108,105,104,107,112,115,115,114,113,114,117,118,117,117,119,123,125,125,125,124,125,125,127,128,128,127,127,128,128,126,123,122,122,125,127,128,126,125,125,127,129,130,131,132,134,136,137,139,139,138,135,132,131,132,131,128,126,126,126,125,124,125,128,130,132,135,137,138,137,136,135,133,130,130,133,134,132,129,131,134,134,136,136,135,134,136,140,141,140,139,138,138,141,146,145,141,137,138,141,143,142,138,136,137,137,139,144,146,147,148,149,148,149,150,151,152,149,147,142,139,142,148,149,146,141,138,138,140,142,143,143,145,148,148,148,148,147,144,141,138,136,138,144,148,148,144,143,142,138,135,134,135,136,137,140,144,143,142,145,148,149,148,148,150,148,145,141,141,144,148,148,144,139,136,136,137,137,139,140,141,143,146,149,152,152,148,148,153,151,148,151,157,158,153,151,155,160,159,156,154,155,153,152,154,153,151,148,149,154,156,156,156,157,157,151,146,151,154,151,150,151,155,155,149,148,147,147,148,150,151,149,144,141,141,143,144,146,149,149,144,142,142,143,144,144,142,141,144,149,152,152,151,151,147,143,144,144,142,140,141,144,145,144,144,145,149,154,155,150,145,144,144,144,143,141,141,142,null],[125,125,128,132,135,134,133,134,135,135,133,135,137,137,137,137,138,138,138,138,137,134,127,121,123,129,134,135,134,135,136,135,133,128,122,122,126,130,132,134,133,133,133,134,133,133,133,132,129,126,123,121,120,120,117,112,111,116,122,127,132,134,134,132,131,130,129,127,127,129,134,139,142,145,143,140,138,138,138,139,140,141,140,140,139,139,137,135,136,139,140,137,139,137,129,123,124,132,139,140,140,139,139,139,140,140,139,137,136,136,139,139,134,128,122,117,115,118,121,123,124,125,127,129,131,131,129,126,125,126,128,128,129,130,132,134,135,135,134,135,136,137,137,138,138,136,133,130,130,133,137,138,137,136,137,139,139,139,139,140,139,138,138,139,140,140,140,141,141,140,140,140,141,141,140,139,140,141,139,137,137,137,138,139,139,138,137,137,139,141,141,140,139,137,135,134,134,132,132,137,141,139,133,125,121,122,126,130,131,130,128,127,126,128,129,130,131,132,133,135,136,136,136,134,129,121,117,116,114,110,106,107,110,111,109,104,102,105,112,117,118,115,112,111,114,118,117,117,118,121,122,122,122,123,123,124,126,127,128,128,128,129,128,127,124,122,123,126,128,127,127,127,127,128,130,131,132,132,134,137,139,139,138,136,134,133,133,134,134,133,131,132,131,128,125,123,125,127,128,129,132,135,136,134,131,129,128,127,127,128,129,129,132,135,138,138,137,136,135,135,137,140,142,143,140,139,141,145,146,144,140,136,136,137,138,138,140,142,140,139,143,146,149,150,150,149,149,150,151,151,148,143,139,138,142,146,146,145,144,139,137,142,146,147,147,148,148,147,145,146,144,141,139,138,139,140,141,144,145,142,139,139,137,136,137,138,138,137,138,140,140,142,144,144,144,144,144,146,147,147,145,141,140,143,146,144,143,141,138,135,135,136,140,144,146,148,152,153,149,145,145,149,148,148,155,159,156,152,150,151,152,152,154,157,158,155,152,152,152,151,149,150,151,153,155,159,162,158,150,147,153,155,152,152,153,153,152,150,150,150,150,153,156,154,149,145,143,144,146,147,147,147,146,146,144,143,143,146,147,145,142,142,147,152,152,151,150,145,143,146,148,145,141,139,141,143,144,145,147,150,153,154,153,150,149,147,145,144,143,143,144,null],[130,129,127,127,130,132,132,133,137,137,133,135,137,136,136,137,139,139,138,138,137,132,126,123,125,131,133,134,134,136,136,135,134,131,124,122,126,132,135,136,135,135,136,136,136,135,134,130,129,129,124,121,121,121,118,113,112,116,119,124,130,135,136,133,132,135,134,130,128,129,133,135,138,141,141,138,134,135,138,141,143,142,140,138,138,139,137,137,138,139,139,137,138,135,128,123,124,130,138,141,140,138,138,139,140,141,140,138,137,138,139,139,136,131,125,119,116,116,119,121,124,125,126,128,128,128,128,127,127,128,129,128,127,129,131,133,134,134,134,137,138,136,135,136,139,139,136,132,130,130,133,135,136,136,137,137,138,138,137,137,136,136,138,139,140,140,140,141,141,140,140,141,141,141,140,140,140,141,139,138,138,137,137,138,138,138,137,136,137,138,139,138,139,138,135,132,130,129,130,135,139,139,132,124,120,121,127,132,133,132,131,130,127,125,126,129,131,132,134,135,136,137,136,136,131,123,119,118,118,114,111,111,114,111,107,103,101,104,110,116,117,114,111,110,115,119,118,117,118,119,119,119,120,122,123,124,126,127,128,128,128,128,128,127,125,123,123,125,125,124,125,126,127,128,130,131,131,131,133,136,139,138,134,132,132,133,133,133,134,134,134,134,134,133,129,126,126,126,125,125,127,130,131,129,127,127,127,126,125,125,126,128,132,135,138,138,137,137,138,136,136,138,141,143,144,143,142,142,145,145,140,135,135,136,139,142,145,147,144,141,141,144,148,150,149,149,148,147,147,147,145,143,140,139,142,145,145,146,146,140,138,144,147,147,148,150,150,148,145,143,143,143,142,142,142,141,140,141,143,143,139,135,135,137,139,140,138,136,136,137,140,143,144,142,141,142,143,144,145,148,150,144,138,140,142,142,145,145,141,137,136,134,138,144,148,149,151,150,147,146,147,147,146,149,157,159,152,147,146,149,150,152,155,157,157,155,152,152,153,153,153,152,151,152,156,161,161,157,150,148,152,155,154,156,154,150,150,154,157,157,156,157,158,154,151,149,148,147,148,149,148,145,144,146,145,143,144,146,146,143,141,141,146,150,150,149,148,145,144,146,148,146,143,139,138,142,146,149,150,151,153,154,154,154,154,150,146,145,145,145,144,null],[133,134,130,125,125,129,131,132,135,135,134,135,136,137,137,137,138,138,137,138,136,130,125,125,130,133,133,133,135,136,137,136,136,133,125,122,125,132,136,136,136,137,138,138,138,137,135,132,131,132,127,123,123,121,117,113,115,119,120,122,129,135,137,134,133,136,138,138,136,134,132,130,132,135,135,132,131,134,140,144,144,143,140,139,139,139,138,138,139,139,139,138,136,132,128,126,126,129,134,138,137,136,138,139,139,140,139,139,139,139,140,140,138,134,128,122,117,115,116,119,122,124,125,125,125,124,125,126,128,131,132,131,129,129,130,132,133,134,134,137,138,137,135,136,138,140,139,138,134,130,129,132,133,133,134,136,136,136,135,134,134,136,138,140,140,140,141,141,141,140,141,141,140,139,140,141,141,141,140,140,140,139,138,138,139,139,138,136,134,134,135,136,137,136,132,129,128,127,128,131,134,133,129,124,120,122,127,131,133,134,134,133,129,125,124,128,131,133,135,136,135,135,135,135,132,126,123,125,123,118,115,117,117,110,104,101,100,102,108,111,110,108,108,113,118,120,120,118,118,118,119,118,118,120,123,124,124,126,127,127,127,127,127,127,127,125,122,121,121,121,122,123,124,126,128,128,128,129,130,133,136,134,130,128,129,131,132,132,132,131,130,132,134,136,134,131,129,127,124,123,124,125,125,125,126,127,128,128,127,126,126,127,130,134,136,136,137,139,141,140,138,138,138,140,143,144,143,139,140,142,139,136,139,142,144,145,147,147,147,144,141,143,147,147,147,149,149,148,145,144,144,146,143,140,142,148,149,147,144,139,138,141,143,142,144,149,153,151,146,143,144,148,148,145,142,142,145,145,145,145,141,136,134,136,139,140,139,137,136,137,141,143,143,143,143,144,146,147,147,149,151,147,140,140,141,140,144,147,144,142,140,135,134,140,146,148,147,145,144,148,150,146,147,152,157,155,146,141,144,148,151,153,154,154,152,152,153,156,157,155,155,156,156,157,157,159,158,156,153,151,152,156,158,158,155,149,150,158,163,164,161,156,154,153,153,154,151,147,147,148,147,144,143,144,143,142,143,144,142,140,139,141,147,152,150,148,149,149,147,145,145,146,144,141,138,143,148,150,150,151,153,154,152,154,157,154,148,146,146,146,145,null],[134,136,132,126,125,129,131,132,133,134,134,135,137,138,138,137,137,137,138,138,134,126,124,128,134,135,134,134,136,137,137,136,136,133,126,121,122,130,135,135,135,138,139,138,137,137,136,134,134,135,131,127,125,120,114,112,116,121,120,119,125,133,137,137,136,137,139,142,142,138,133,129,130,133,134,132,131,134,139,143,142,141,140,140,140,140,139,140,140,140,140,138,133,130,132,131,129,128,132,136,137,136,138,140,139,138,139,140,140,139,140,140,138,134,129,123,119,116,115,116,119,121,122,122,121,120,121,124,128,132,135,134,131,130,130,132,133,134,134,136,137,138,136,136,138,140,140,140,137,132,131,132,132,132,133,134,134,134,134,135,136,137,139,140,140,140,141,142,141,141,142,142,139,138,139,141,141,139,140,141,142,140,138,138,139,139,138,136,135,134,134,134,134,133,132,131,131,130,128,127,127,126,126,125,124,123,124,128,132,136,137,136,132,128,125,127,130,132,133,134,133,132,133,135,134,130,128,128,125,121,120,123,121,111,103,102,101,101,104,106,104,102,106,113,118,119,119,119,119,120,121,119,118,119,120,121,122,123,126,126,127,127,126,127,128,126,123,121,120,122,122,122,121,122,125,126,126,126,127,129,130,129,127,127,128,128,129,130,130,129,129,129,131,135,135,133,130,127,125,124,124,124,124,125,128,129,129,130,131,129,126,125,128,132,134,134,136,141,143,141,139,138,138,140,143,145,142,137,138,140,138,137,141,144,145,143,143,146,146,145,142,143,145,144,145,148,151,150,145,143,145,147,144,140,142,148,150,148,143,139,139,143,142,139,140,146,152,153,149,145,148,152,149,143,141,144,149,149,148,145,140,136,135,138,139,139,138,139,138,138,141,142,141,142,144,147,149,150,149,150,152,148,144,145,143,141,144,149,149,148,143,137,134,136,141,143,141,139,141,147,148,145,147,153,151,147,145,144,146,149,151,152,153,153,152,152,154,156,156,154,154,156,159,160,157,156,156,157,157,156,154,157,159,157,153,152,155,161,166,166,161,156,152,150,152,154,152,147,144,146,147,144,142,141,140,140,140,141,140,141,142,143,148,154,153,153,154,154,150,144,145,147,146,141,139,142,147,147,148,151,152,150,149,151,155,155,152,149,149,151,152,null],[132,135,133,128,126,130,133,134,134,134,135,136,138,138,138,137,135,136,137,136,130,124,124,131,135,136,135,136,137,138,138,135,134,132,127,122,121,127,133,134,136,138,138,138,138,138,137,135,136,136,134,129,124,117,113,112,117,121,120,119,122,129,136,139,139,138,139,141,141,140,136,133,134,136,137,136,134,135,138,140,140,138,139,141,140,140,141,141,140,140,139,136,131,131,136,136,130,126,130,137,138,136,139,140,139,137,138,140,140,139,140,140,137,134,131,127,123,120,117,115,117,119,119,119,118,117,118,121,125,129,132,132,131,131,132,133,134,134,134,135,137,138,136,136,138,139,139,138,137,135,134,135,134,133,134,134,133,133,135,137,139,140,140,140,141,140,140,141,141,140,141,141,139,138,139,140,139,138,139,141,142,141,140,139,139,139,138,137,138,137,136,134,133,132,134,136,136,133,128,125,124,125,128,129,128,125,122,123,129,135,139,139,136,132,129,128,128,128,129,130,130,131,132,135,136,133,131,129,126,124,124,126,124,114,105,103,102,102,104,103,101,100,104,111,117,119,119,119,120,122,122,121,119,119,119,119,119,121,124,125,127,127,127,127,127,126,125,123,123,124,126,124,122,121,123,125,125,125,126,128,129,128,128,129,130,128,128,129,130,131,130,129,130,132,132,131,130,129,128,127,126,125,126,130,133,133,131,132,134,132,128,126,128,131,131,132,134,138,140,138,136,137,139,142,143,142,138,135,137,140,138,137,140,142,141,139,140,143,144,144,144,145,146,144,143,147,152,152,147,145,146,147,145,142,143,147,150,148,143,139,141,146,146,141,140,143,148,151,151,149,150,150,145,140,142,146,148,149,147,143,138,135,137,141,141,138,138,142,142,139,141,142,141,141,143,146,148,149,149,150,151,148,146,147,146,143,145,150,154,153,146,140,136,135,137,139,138,137,138,141,142,142,145,149,145,144,149,151,151,150,150,150,152,154,153,153,153,153,151,149,151,155,159,158,155,156,156,156,157,158,158,158,159,155,152,155,159,162,163,161,158,156,154,151,151,151,149,145,142,144,146,144,141,140,139,138,139,141,143,144,145,147,150,154,156,157,158,155,150,144,146,150,147,142,139,140,143,144,146,149,148,146,147,149,151,153,154,153,154,155,155,null],[128,132,133,130,128,128,131,133,134,135,137,138,138,137,137,137,135,134,132,130,127,125,128,132,134,135,136,136,137,140,140,137,134,132,131,126,123,124,131,137,138,138,139,139,140,141,140,138,137,137,134,127,119,114,114,114,117,118,119,121,123,128,134,138,139,138,138,140,141,141,139,138,138,139,139,138,138,138,138,138,138,137,138,139,139,140,142,142,141,139,137,136,132,133,137,137,130,125,128,135,138,136,138,138,137,135,136,140,140,139,139,140,139,138,137,134,130,125,120,118,119,119,118,119,118,116,116,118,121,123,125,128,129,131,132,133,134,134,135,136,137,137,136,136,138,139,138,138,138,136,136,137,136,136,136,136,135,135,137,139,141,142,141,141,141,140,139,140,141,141,140,139,138,138,138,139,139,138,137,139,141,142,141,140,139,139,138,138,139,139,138,136,134,134,135,136,134,130,127,125,126,131,133,133,131,127,122,121,125,132,138,140,138,135,134,132,130,127,125,126,129,133,135,136,137,135,133,130,128,126,126,128,126,118,109,104,103,103,105,103,101,100,102,109,116,120,119,119,120,121,121,120,120,119,119,119,119,121,123,126,127,127,127,127,127,127,127,127,126,126,127,127,126,124,124,126,126,127,130,132,133,132,131,132,132,131,130,130,132,134,134,133,131,129,128,129,132,132,130,129,129,129,131,135,138,137,135,133,134,136,134,130,129,131,130,130,131,132,133,133,132,135,139,141,139,136,133,132,134,135,136,137,139,138,137,139,141,142,143,144,146,149,149,146,146,149,151,151,150,149,149,148,146,144,144,146,149,148,144,140,141,146,148,146,143,141,145,150,152,150,148,145,143,143,145,147,146,145,143,141,137,134,138,143,144,139,138,144,144,141,141,143,144,142,140,142,144,145,146,148,150,149,147,148,148,145,143,147,155,156,150,144,140,138,138,139,141,141,137,137,138,140,140,142,144,148,152,153,151,151,151,153,153,153,153,152,151,152,150,147,151,155,156,153,152,157,159,153,153,158,160,161,161,157,154,158,161,160,159,156,154,155,156,156,153,149,145,143,142,142,142,141,141,143,142,140,142,145,147,146,146,149,152,152,154,156,156,152,147,144,148,154,149,142,139,140,142,142,143,143,144,146,148,150,151,154,156,155,155,153,148,null],[126,130,133,133,131,128,129,132,133,134,137,138,137,135,135,136,133,129,127,125,125,128,133,135,134,133,136,137,137,139,139,138,134,132,134,130,124,123,130,139,142,139,139,140,140,141,140,139,139,138,133,125,116,113,115,117,117,116,119,123,127,129,131,135,138,139,138,137,138,140,141,140,139,139,140,140,140,140,139,139,139,138,138,138,139,141,143,144,143,141,138,136,134,134,138,136,130,125,126,131,134,133,134,134,133,133,134,137,138,138,139,140,142,142,142,140,135,130,127,125,123,120,119,118,119,119,118,118,118,118,118,121,124,127,129,132,135,136,136,136,135,135,136,137,138,137,137,137,137,136,137,138,138,138,138,138,138,138,140,141,141,141,140,139,138,138,138,139,140,141,139,138,137,136,136,138,139,139,138,138,139,141,141,140,139,139,138,138,139,140,140,137,135,135,134,132,129,128,128,127,131,135,136,134,131,127,123,121,124,131,136,137,136,136,137,137,134,130,126,125,128,132,134,135,135,135,134,132,130,129,129,130,128,122,113,107,104,104,105,104,102,102,103,107,114,119,120,119,120,121,121,119,120,120,120,119,120,121,123,126,127,126,127,128,129,129,129,129,128,128,128,129,129,128,126,125,125,128,131,133,133,133,133,134,134,134,132,132,134,136,136,134,132,129,128,130,133,134,131,130,132,133,135,138,139,139,138,135,135,139,139,134,130,131,132,132,132,130,130,130,130,131,135,137,135,133,132,132,133,134,134,135,137,136,137,141,144,145,146,147,147,149,150,149,149,151,150,148,149,150,151,152,149,146,145,148,149,148,143,141,141,143,148,151,147,143,144,148,152,152,148,143,144,148,149,149,145,143,141,139,136,135,138,143,146,140,138,144,147,144,141,142,145,144,140,139,140,142,143,147,150,149,148,149,149,146,142,145,152,154,150,147,145,143,141,141,143,143,141,140,139,138,136,138,145,151,152,150,148,150,152,153,152,151,151,149,148,150,148,145,149,154,152,150,152,158,158,149,148,154,158,162,163,161,159,158,160,160,158,153,152,152,155,157,153,146,143,144,144,142,139,139,142,147,146,144,148,150,149,146,145,148,151,152,153,152,150,148,146,146,151,154,148,142,140,143,145,144,141,141,142,145,148,151,154,156,156,154,153,149,144,null],[126,128,132,135,135,132,131,132,132,133,135,137,136,133,134,134,130,126,126,126,127,130,135,137,135,134,135,137,138,138,137,136,133,134,135,132,124,122,128,138,142,140,138,137,136,137,138,138,139,138,133,125,118,114,115,118,117,116,119,124,129,130,130,133,137,139,137,134,134,138,142,140,138,138,140,142,142,141,140,140,140,140,139,138,141,143,144,143,143,143,140,137,135,137,138,136,131,126,126,128,128,129,130,130,132,133,134,134,135,137,139,140,141,142,142,140,137,133,133,131,126,122,120,120,121,122,122,120,119,116,114,117,119,120,125,130,134,135,135,133,132,133,136,137,136,135,136,136,136,136,138,138,138,139,140,139,139,140,141,141,139,138,138,137,136,137,138,139,140,140,140,138,135,134,134,135,137,139,139,139,139,140,140,140,139,138,138,138,139,140,139,137,134,133,130,129,128,130,132,132,134,136,135,131,128,125,123,122,126,132,134,134,136,137,138,138,136,133,129,126,126,128,130,132,133,135,135,132,131,131,131,131,129,124,117,112,107,105,105,105,104,103,103,106,111,116,118,120,122,123,122,120,120,121,121,119,119,121,123,126,126,126,128,130,129,129,130,130,129,128,129,129,129,128,127,124,123,124,127,128,129,130,132,133,134,133,134,135,136,138,137,135,132,131,131,132,135,136,133,132,133,135,137,138,138,138,139,137,137,141,142,137,131,130,133,135,135,134,134,133,132,131,132,133,133,134,135,134,135,137,136,135,137,137,138,143,147,149,150,150,147,146,148,149,151,151,148,144,146,149,152,154,153,150,148,149,149,146,143,142,142,142,147,151,150,146,145,148,153,153,149,146,148,152,152,151,148,145,141,138,137,138,139,143,146,141,138,144,148,146,141,141,144,146,144,141,140,140,143,147,150,150,149,151,150,147,146,146,147,149,149,149,149,148,145,143,142,143,145,148,145,140,136,138,144,148,147,145,145,147,149,149,147,147,148,147,146,147,146,143,146,149,148,150,154,156,153,147,146,151,156,160,164,164,161,158,159,161,159,154,151,150,151,152,148,144,146,150,147,143,140,139,143,148,148,147,151,153,150,149,148,147,149,152,153,151,147,147,148,149,152,152,146,141,143,146,148,145,143,145,145,145,148,151,154,156,155,152,150,149,147,null],[125,127,132,135,135,134,135,135,133,132,133,135,135,135,135,132,128,127,131,132,130,129,132,136,136,134,134,136,138,138,137,136,134,135,135,130,123,121,126,135,139,138,135,133,134,135,137,139,139,138,135,129,120,115,114,117,119,119,118,121,127,130,132,132,133,136,136,136,136,138,140,139,138,137,139,142,143,141,140,139,140,141,140,139,141,143,142,142,142,143,140,136,136,139,139,137,133,130,129,129,128,127,129,131,134,136,136,135,135,136,137,138,138,139,140,140,137,134,135,133,126,123,125,126,124,123,122,122,120,117,116,116,116,116,120,125,129,130,129,128,130,134,135,134,133,134,135,135,137,139,139,138,138,139,139,139,139,139,139,138,136,135,136,136,137,138,139,140,140,139,139,137,134,134,135,135,136,138,139,140,140,140,140,139,138,138,139,139,139,139,137,134,132,131,130,132,134,136,137,137,137,137,134,129,124,123,123,123,125,130,133,135,136,136,137,139,139,136,132,129,127,127,128,129,132,134,134,132,131,132,132,131,128,122,118,115,110,108,107,107,104,101,100,103,109,114,118,120,121,122,123,122,122,122,121,119,119,121,124,127,128,128,129,130,129,129,130,129,128,128,128,129,129,129,128,125,123,122,123,124,125,126,128,129,129,130,133,136,138,138,137,135,134,133,134,136,139,139,136,134,135,137,137,137,138,139,139,138,139,142,145,142,136,131,131,134,136,137,138,139,138,135,134,133,134,136,137,136,138,140,140,138,138,137,139,144,148,150,151,149,147,146,148,150,152,150,146,142,144,147,151,153,153,154,153,151,148,145,144,145,145,143,145,149,149,148,148,150,151,150,149,150,149,149,149,150,150,147,142,138,138,142,144,145,145,141,139,143,147,146,142,140,143,147,149,147,142,141,143,148,151,149,148,150,152,151,151,149,145,146,152,155,154,150,149,148,146,144,146,150,150,144,140,140,143,144,143,143,143,143,143,144,145,144,143,144,147,147,146,145,144,144,144,149,154,154,150,147,149,154,157,158,160,160,158,157,160,163,161,156,151,151,152,151,147,146,150,153,148,145,144,141,142,148,149,150,154,154,153,154,153,149,148,150,152,151,150,150,150,151,151,149,143,141,144,147,147,146,147,149,150,150,151,152,152,154,155,153,152,151,152,null],[125,126,131,131,133,135,138,137,134,133,134,135,136,137,134,129,127,131,137,137,132,128,128,132,134,134,134,135,138,138,138,137,138,137,134,127,122,120,124,130,134,135,134,134,135,137,138,138,136,134,133,129,120,113,113,117,121,121,119,119,123,128,130,131,131,132,134,136,137,138,139,138,138,138,140,142,143,141,140,139,140,142,141,139,140,141,141,140,140,140,137,136,138,140,140,138,136,132,131,133,132,130,129,132,136,138,138,137,137,138,138,137,136,137,139,140,137,134,134,131,126,125,128,130,127,123,122,123,123,121,119,118,117,116,118,121,124,125,124,124,127,131,132,130,130,130,132,133,136,138,138,138,138,139,139,138,137,136,135,135,134,134,136,137,139,140,141,142,141,139,137,135,135,136,138,137,137,138,139,139,140,141,140,139,138,139,139,138,137,136,135,132,131,132,134,137,139,139,138,136,135,135,131,126,122,122,124,123,124,129,134,137,136,135,136,138,139,137,133,131,129,129,128,129,130,132,132,131,131,133,133,131,126,119,115,115,113,111,111,109,104,99,98,101,106,112,117,120,121,122,123,123,122,122,121,120,120,122,125,127,128,128,129,129,129,129,129,129,128,127,127,128,129,130,130,128,125,122,122,124,124,123,125,126,126,128,132,136,137,137,136,136,136,135,135,138,141,142,139,136,137,139,139,138,140,141,140,139,140,143,145,145,140,134,130,130,133,135,139,144,144,141,139,138,138,138,138,138,139,141,143,143,140,139,141,145,148,149,148,147,148,148,149,149,149,148,146,145,146,148,149,150,153,156,154,150,147,146,146,147,147,145,145,148,148,149,150,151,150,147,148,151,149,145,144,147,151,149,143,138,139,145,148,146,142,141,142,144,146,145,142,141,144,149,153,151,146,143,143,146,148,148,147,150,152,153,154,153,148,149,155,158,156,152,152,152,150,146,143,147,151,149,145,142,142,142,143,144,144,141,141,142,143,143,142,144,148,149,149,149,148,146,144,147,151,152,151,151,154,157,158,157,155,155,156,157,160,163,162,158,155,155,155,152,149,151,155,155,151,147,145,141,141,146,150,152,153,152,154,157,157,154,152,151,152,154,154,153,152,152,152,149,143,141,144,146,146,145,147,151,154,155,154,152,151,155,157,155,153,153,154,null],[125,125,127,128,131,136,139,139,136,135,136,137,137,136,132,128,129,134,138,138,134,130,128,130,132,133,134,136,138,137,137,139,140,138,131,126,123,122,123,128,133,136,138,138,138,138,138,135,130,128,127,123,116,112,114,120,123,122,122,123,123,124,125,128,130,131,132,133,134,136,139,138,138,139,141,141,142,142,141,140,140,141,139,138,139,142,141,140,138,137,136,136,139,142,141,139,137,132,132,135,136,134,130,130,133,136,137,138,140,141,140,138,138,139,139,139,136,134,132,130,126,126,130,132,131,126,123,124,126,125,121,120,120,119,118,120,123,124,124,124,125,127,126,125,125,126,127,129,131,133,134,136,137,139,139,137,135,132,132,133,135,136,136,138,139,140,141,142,141,139,136,135,136,139,140,139,139,139,139,139,140,140,140,139,138,138,137,135,134,133,132,130,131,134,137,139,139,137,135,131,128,127,125,124,123,125,126,124,123,128,133,135,134,133,135,137,138,137,134,132,131,130,129,129,128,128,129,130,132,133,133,130,124,116,111,112,113,113,113,111,106,100,98,100,104,108,114,119,121,122,123,122,122,122,122,121,121,122,124,126,127,127,128,129,129,129,129,128,127,126,126,126,127,130,132,131,126,123,124,125,124,123,124,126,127,129,132,134,135,135,136,138,138,137,136,138,140,141,140,139,139,140,141,142,143,142,141,140,141,143,144,144,142,137,132,129,130,132,137,143,144,142,142,142,142,142,142,141,140,141,144,145,143,142,144,146,146,146,147,148,149,148,147,146,145,144,147,150,150,148,147,150,155,156,153,148,147,148,148,149,147,146,148,151,150,149,149,150,150,148,148,150,149,145,142,144,148,148,143,138,138,144,148,145,140,141,144,145,147,145,142,142,147,151,153,151,148,145,143,143,143,144,147,152,153,152,154,156,155,154,154,154,155,155,154,152,150,146,143,145,149,151,147,142,140,142,147,147,145,144,144,144,144,145,145,146,148,149,149,151,153,153,149,147,148,149,151,155,155,154,156,156,154,154,155,157,159,162,161,160,161,159,155,151,152,155,157,157,154,149,144,142,143,145,148,150,150,148,149,154,157,156,157,157,156,156,157,154,153,155,156,152,145,141,143,146,147,145,145,149,152,154,152,151,153,158,158,154,152,153,154,null],[125,125,127,128,132,137,140,140,137,138,139,138,136,133,130,129,134,138,138,138,136,134,131,131,132,134,135,137,139,138,137,138,138,135,128,125,125,124,126,132,137,139,139,138,139,140,138,134,130,129,127,121,113,111,115,121,124,123,125,126,126,122,121,125,131,134,134,132,132,135,138,138,138,140,141,140,141,141,142,141,139,138,138,138,139,141,142,141,140,138,136,136,140,143,142,139,135,131,132,137,141,139,135,131,131,133,136,138,141,143,141,140,140,140,139,139,138,137,134,130,126,128,132,133,133,131,125,122,125,126,124,124,122,119,118,120,124,127,128,127,126,126,125,124,125,125,125,126,127,127,128,130,132,134,135,134,132,130,131,134,136,137,138,139,140,140,140,141,141,138,135,135,137,139,139,139,139,139,138,139,140,140,139,139,138,137,135,134,134,134,133,132,131,133,137,138,136,133,130,126,123,122,123,124,127,130,130,125,122,125,130,131,131,132,135,137,137,136,134,133,132,132,132,130,128,125,125,129,133,136,135,131,124,114,109,110,112,114,113,111,107,103,100,100,102,106,111,115,117,118,118,118,119,121,123,123,121,120,122,125,126,126,127,128,128,127,127,127,127,126,125,125,126,129,132,132,128,124,125,127,125,124,125,127,130,131,132,133,132,132,135,138,139,139,137,138,139,140,140,139,139,140,143,144,144,142,141,141,141,141,142,142,142,140,137,134,131,131,134,138,139,138,138,140,142,142,141,140,140,142,144,145,144,146,148,145,143,143,146,147,147,146,144,143,141,141,146,149,149,147,147,152,155,154,152,150,151,151,149,149,149,148,149,152,153,151,149,147,148,147,147,146,147,145,140,139,143,146,143,138,137,142,149,147,142,141,145,148,148,146,142,142,145,148,149,148,149,149,147,144,140,143,150,153,153,151,154,159,161,157,152,150,154,158,156,151,147,144,143,145,149,150,147,142,139,143,149,150,146,146,148,149,148,147,148,148,147,148,148,150,153,155,153,150,148,146,148,152,152,150,151,152,152,153,154,155,157,160,161,163,164,159,153,153,155,157,157,154,152,147,142,144,146,144,144,147,149,149,150,154,157,157,159,160,159,157,157,156,157,157,155,150,145,142,143,147,149,145,143,146,149,151,150,150,152,155,155,153,153,154,155,null],[126,127,129,132,135,140,142,141,140,141,141,138,134,131,129,130,137,140,139,139,138,136,135,135,134,134,137,139,140,140,138,135,133,129,125,125,127,126,129,136,140,140,137,137,139,140,139,136,135,135,133,125,115,110,114,120,123,124,126,127,127,124,120,123,130,136,136,134,134,136,138,139,140,141,140,139,138,140,142,141,136,134,136,140,140,140,142,143,142,140,137,136,139,142,143,140,135,130,132,139,143,142,140,135,131,131,135,138,140,141,140,140,140,139,138,138,139,140,136,131,127,129,134,135,135,134,127,122,123,126,128,129,125,119,116,119,124,129,130,129,128,128,128,127,127,127,126,127,127,126,125,126,126,128,129,130,129,130,134,137,138,139,141,141,140,140,140,141,139,136,134,135,136,137,137,138,138,138,139,140,141,140,139,139,138,137,136,136,137,137,136,133,131,132,136,138,134,129,126,124,123,125,126,128,131,133,132,127,122,122,125,127,128,130,134,136,137,136,134,134,134,134,135,134,130,126,123,126,134,139,138,133,126,116,110,110,112,113,111,108,106,104,102,100,101,105,109,111,113,114,114,115,118,122,125,124,122,121,122,124,126,127,127,127,127,126,125,126,127,127,126,125,125,128,131,131,128,125,127,129,128,126,127,129,131,132,133,133,131,132,135,138,140,139,139,139,140,140,139,139,138,140,142,144,143,142,141,141,142,141,141,142,141,142,143,141,136,133,132,133,133,132,132,135,139,140,138,138,140,143,144,144,144,147,148,143,141,144,146,145,144,143,142,142,141,141,143,145,146,147,149,152,153,152,153,154,156,154,151,150,151,151,151,153,154,153,148,145,145,145,143,142,144,144,142,139,140,143,143,141,138,141,150,152,145,141,144,149,151,148,144,142,142,143,143,144,148,151,152,147,140,142,149,152,153,152,155,160,162,158,151,149,153,157,156,151,144,142,144,147,150,149,146,143,139,142,150,152,149,148,149,151,150,149,150,149,147,146,147,148,149,152,154,154,151,146,146,148,150,149,149,149,150,151,152,153,154,156,160,162,163,157,153,155,157,157,153,149,147,145,144,147,147,144,143,146,149,151,153,156,158,158,158,158,158,157,158,159,159,155,149,144,141,142,146,151,152,147,144,146,149,150,150,150,149,148,149,153,155,156,156,null],[128,129,131,134,138,142,143,142,142,143,143,139,134,131,129,131,137,142,141,140,140,138,137,137,133,134,139,142,142,141,138,132,127,125,125,129,131,128,129,134,138,139,139,140,142,141,139,139,139,138,137,130,118,111,112,117,123,125,126,126,127,125,122,123,128,134,135,135,136,139,141,141,141,141,139,137,137,139,139,137,133,132,136,141,141,139,141,142,142,140,138,138,139,141,142,141,138,131,132,138,141,141,142,137,131,131,134,136,137,138,140,141,140,139,137,135,136,136,133,130,129,131,135,136,137,135,131,127,123,124,128,131,129,121,115,116,120,125,127,127,128,128,128,128,129,130,129,130,130,129,127,125,124,125,126,127,127,130,135,139,140,140,141,141,140,140,140,140,137,134,133,134,136,136,136,137,137,138,140,142,142,140,139,139,139,139,139,139,139,139,136,131,130,133,137,137,133,128,124,124,126,129,130,131,132,132,130,127,125,123,123,125,127,129,131,132,134,135,135,135,134,134,137,138,135,129,124,124,131,136,135,132,128,122,115,111,112,112,110,106,102,102,102,102,101,102,104,108,112,115,116,117,119,123,126,126,123,123,123,124,126,127,127,127,127,127,126,127,127,127,127,127,128,129,130,130,129,128,130,131,130,129,129,130,132,133,134,133,133,133,135,138,139,139,139,140,141,140,140,140,139,140,142,144,144,143,143,144,144,143,141,141,140,142,146,145,141,137,134,132,132,132,130,131,135,137,136,136,139,142,143,144,145,145,143,142,144,146,147,145,142,141,143,145,145,145,145,145,147,149,151,151,151,152,155,156,155,154,154,154,155,155,155,154,152,150,147,145,144,143,142,141,142,144,145,144,143,143,143,144,141,143,151,152,146,142,143,149,152,151,148,144,141,141,143,144,147,150,151,147,141,139,143,148,152,154,156,157,157,157,154,151,151,153,152,148,143,142,145,149,152,150,148,144,140,141,148,154,153,150,149,151,151,151,151,151,151,147,146,147,148,149,152,154,155,151,149,149,152,153,153,153,153,153,153,153,152,153,156,160,161,158,156,157,157,155,150,146,148,150,150,148,146,144,144,147,149,152,154,157,159,159,155,152,153,158,162,162,157,150,145,141,139,143,151,157,157,153,149,149,151,152,153,152,150,147,147,150,152,153,153,null],[131,131,132,134,138,141,142,143,144,144,142,139,135,132,130,131,137,142,142,141,141,140,139,136,131,133,142,145,143,141,136,129,124,124,128,134,134,129,128,133,136,138,141,142,142,140,138,140,138,135,135,130,120,114,113,116,120,124,125,125,126,127,126,124,125,129,132,134,137,140,143,142,141,140,139,137,137,136,134,133,132,133,136,139,139,138,140,141,140,139,139,139,140,139,139,140,138,131,130,136,138,139,140,136,130,132,136,136,136,137,139,140,140,138,136,133,132,133,132,132,134,135,136,137,137,136,136,133,127,123,126,131,131,125,116,113,117,122,124,125,126,126,128,130,130,130,130,131,132,132,131,128,127,128,129,128,128,130,134,139,140,140,139,139,139,138,138,136,134,133,133,135,137,137,137,137,138,139,141,142,142,140,139,139,139,139,139,139,137,136,133,131,132,135,136,134,130,127,126,127,130,133,135,134,131,129,128,129,128,126,125,125,127,130,130,130,131,133,136,136,135,135,138,139,138,134,128,126,127,129,129,129,129,125,119,113,111,111,110,106,102,102,103,102,101,101,103,109,115,119,119,119,121,124,125,125,124,125,125,125,125,126,126,126,127,128,128,127,127,127,128,129,131,131,130,129,129,131,131,131,131,131,131,130,131,133,134,133,133,134,136,137,137,138,139,140,140,139,139,140,140,142,143,144,144,144,144,145,145,144,142,140,140,142,146,146,143,141,138,136,136,135,132,130,132,135,137,137,139,141,143,145,146,144,140,142,144,147,149,146,141,141,145,149,150,149,149,149,150,151,151,151,151,152,152,152,151,153,156,156,155,155,157,155,150,147,147,148,147,145,143,142,141,143,147,149,146,142,142,146,146,146,149,150,146,142,143,149,153,153,150,145,143,143,146,149,149,148,148,148,145,142,140,143,148,152,154,153,152,155,157,153,151,151,149,145,144,146,148,151,152,150,148,145,141,142,148,152,153,152,150,149,151,152,151,152,152,148,146,148,150,150,150,153,155,156,155,154,155,157,158,157,156,155,155,155,153,151,154,158,159,159,157,155,154,153,151,150,153,154,152,147,145,145,147,150,151,152,155,158,159,159,156,152,152,158,164,160,151,145,144,144,143,145,153,159,160,159,155,152,150,151,154,155,153,151,151,150,150,149,149,null],[133,133,134,135,137,138,140,143,144,143,141,139,137,133,130,132,138,142,141,140,142,142,139,134,131,135,142,145,143,139,134,128,124,126,132,137,134,128,128,135,139,139,140,141,140,138,137,137,134,130,129,126,121,118,117,115,117,121,124,124,125,127,128,125,123,125,128,132,135,139,141,141,140,140,139,137,135,133,130,132,134,136,137,136,136,137,138,139,139,140,140,141,140,138,136,136,135,131,129,133,137,138,139,135,131,133,137,139,138,137,138,139,140,138,135,134,133,134,135,136,138,139,138,138,137,136,139,137,130,123,123,129,133,129,120,115,117,123,125,125,125,127,129,132,131,129,128,129,131,132,132,131,131,133,134,133,130,128,130,135,138,138,137,136,136,136,134,133,133,135,136,137,137,137,138,138,140,141,141,140,140,139,139,139,138,137,136,135,133,132,132,133,134,134,132,128,126,126,129,132,134,135,137,136,131,128,129,132,133,131,129,127,129,132,133,130,129,131,135,137,138,138,139,138,138,136,134,130,125,123,125,127,127,125,118,112,110,109,108,107,106,105,104,102,100,102,107,113,117,119,120,120,122,124,123,123,124,126,126,125,123,123,124,126,128,129,128,127,127,128,128,128,130,131,130,128,128,130,131,131,132,132,132,129,129,132,133,132,133,134,136,137,136,136,136,138,137,137,137,138,140,143,144,144,144,143,144,145,145,144,141,139,140,142,144,144,143,142,141,139,138,137,133,130,132,136,139,140,142,144,144,145,147,146,142,140,142,147,150,147,141,140,146,151,153,149,149,150,151,149,149,153,154,149,146,145,147,152,156,154,150,152,155,156,150,147,150,152,150,146,145,145,142,143,148,150,145,140,140,146,148,148,148,147,145,144,145,148,152,152,150,145,144,146,150,155,153,149,148,151,153,150,145,141,144,149,149,149,152,155,158,156,154,155,150,145,147,152,154,154,151,147,145,144,142,143,148,148,149,153,153,151,152,153,152,151,151,147,147,150,152,152,151,151,154,157,158,156,156,157,157,155,152,153,155,154,152,153,155,158,159,158,155,153,152,154,155,155,154,153,150,146,143,145,148,152,153,155,159,159,159,158,158,158,155,157,158,153,146,142,146,152,151,149,151,156,161,162,157,152,148,148,152,155,155,155,155,154,153,151,149,null],[134,136,139,140,139,137,139,143,143,141,137,138,136,132,130,134,139,141,139,139,143,143,139,135,134,138,143,145,142,137,134,131,126,127,135,138,134,128,128,136,139,138,137,137,138,137,135,133,131,129,125,124,125,124,120,115,116,120,122,122,123,126,128,127,126,125,125,128,131,136,138,139,140,139,137,134,131,130,131,133,135,137,137,136,136,136,137,138,139,140,141,140,139,139,138,137,134,131,131,133,136,138,139,137,133,132,134,138,141,141,140,139,140,138,135,136,136,137,138,138,139,139,139,137,138,139,140,137,129,123,123,131,137,134,125,118,118,122,125,126,125,127,129,132,131,129,128,129,131,131,130,131,133,135,135,135,132,128,127,129,132,134,134,133,133,133,133,133,135,138,139,138,137,138,139,139,141,142,140,138,138,138,139,139,137,135,133,132,132,133,134,136,136,134,129,124,124,128,133,136,137,137,138,136,129,127,131,135,136,134,133,131,129,131,134,133,130,129,132,136,138,139,138,136,135,134,133,130,125,122,125,128,128,124,116,109,107,106,105,105,107,108,105,102,100,102,109,114,115,115,118,121,124,124,122,121,122,124,126,125,124,123,123,126,128,128,128,127,127,127,126,126,128,130,129,128,128,129,130,130,130,131,131,129,128,130,131,132,133,135,136,136,135,135,136,136,136,136,136,137,140,143,143,143,143,143,145,145,145,142,139,136,137,139,139,140,140,140,140,140,140,138,133,132,135,140,141,141,142,144,142,142,144,145,143,140,141,147,150,147,141,139,143,148,149,146,147,148,148,147,147,152,152,146,143,145,148,153,156,152,149,151,155,155,151,149,152,151,148,146,148,148,144,142,146,148,146,142,142,146,149,149,149,147,146,145,146,147,150,151,149,145,144,146,151,156,155,151,149,154,158,154,147,144,145,148,148,148,151,154,156,157,157,157,152,147,149,154,156,156,153,148,146,145,141,141,145,146,147,153,155,153,154,156,154,153,151,148,146,148,150,151,151,152,154,158,158,154,155,158,155,151,149,150,151,151,151,154,157,158,158,159,158,156,156,158,159,155,151,149,149,146,144,144,148,152,154,156,157,157,158,158,159,158,154,152,150,149,145,142,148,156,158,153,150,154,160,159,154,150,147,148,149,150,153,156,158,158,157,154,150,null],[135,138,142,143,142,140,140,142,143,140,136,136,135,131,130,134,139,139,137,139,142,141,137,135,138,142,144,144,142,138,135,133,128,128,135,138,135,129,128,134,137,136,135,136,139,138,135,133,132,131,126,127,131,128,119,113,116,121,122,121,122,125,126,128,128,127,125,125,127,130,134,136,137,136,133,130,129,132,135,136,136,137,138,139,138,138,138,139,139,140,139,138,138,140,142,139,135,134,134,136,138,139,141,141,137,132,130,135,140,143,142,140,140,138,136,137,138,139,138,137,136,136,137,136,138,141,140,134,126,122,124,132,138,137,128,120,118,120,122,124,125,127,128,130,131,130,130,131,131,129,127,129,131,133,134,134,133,130,127,126,128,130,131,132,133,133,134,136,137,139,140,139,137,138,139,140,140,140,139,137,137,138,139,138,136,134,132,132,135,137,138,137,136,132,126,123,124,129,135,137,138,137,137,134,128,127,132,136,137,136,135,133,130,130,133,134,132,129,129,133,135,136,137,134,132,130,129,126,123,122,124,127,128,124,116,108,105,105,104,104,106,108,106,102,99,102,108,111,109,110,114,119,124,124,121,119,119,123,126,126,125,125,125,125,126,127,128,127,127,126,125,125,127,129,130,129,128,128,129,130,130,130,130,129,128,128,130,133,134,134,134,134,134,134,135,136,136,136,137,139,140,141,141,141,142,144,145,146,144,140,136,132,133,135,135,136,137,137,137,139,141,137,133,132,137,141,141,139,139,141,139,138,140,142,142,141,142,144,146,144,141,140,141,143,143,145,146,146,145,145,146,148,147,145,147,151,152,154,154,152,150,153,156,155,151,149,151,147,145,148,151,150,145,142,145,148,149,146,145,145,147,149,152,149,146,147,148,146,148,150,149,146,145,145,148,151,153,152,152,156,159,154,147,147,150,151,150,148,150,153,155,157,157,154,151,149,151,153,155,157,155,151,148,144,140,139,143,144,147,152,154,154,156,158,156,155,155,151,147,146,146,147,150,153,156,156,154,149,152,156,153,149,149,150,149,148,151,155,157,156,156,159,162,161,161,162,159,153,149,150,150,147,144,143,146,150,153,153,153,155,157,160,159,156,152,149,148,149,147,143,147,156,159,156,152,154,156,152,149,148,149,150,149,149,151,156,158,158,158,156,152,null],[136,140,142,143,144,143,141,142,143,141,138,137,136,131,130,133,138,139,138,140,141,140,137,135,140,144,143,143,143,141,136,132,128,129,134,137,135,131,128,130,134,138,138,138,138,137,136,137,136,133,130,133,137,129,116,111,116,123,123,121,122,123,125,127,128,128,127,125,125,126,128,131,132,130,129,130,134,137,138,138,138,137,138,140,141,141,141,140,140,140,140,139,138,139,141,139,135,135,137,139,139,139,141,142,140,136,132,133,139,143,143,141,141,140,138,139,140,139,138,136,135,134,134,137,139,140,138,132,124,121,124,130,135,136,131,123,118,117,119,121,124,126,127,128,129,130,131,132,130,126,124,126,129,132,133,134,134,133,130,128,128,130,131,133,135,135,135,136,136,137,138,139,137,138,139,140,139,138,138,138,137,138,138,136,133,132,133,135,137,139,140,137,133,128,124,123,126,130,133,136,137,137,135,131,129,129,133,136,138,137,137,135,133,130,131,134,134,131,127,127,128,131,134,133,130,127,125,122,120,119,120,123,126,126,121,114,109,107,107,107,106,106,104,100,100,103,106,106,103,104,109,116,122,124,121,117,117,121,125,126,126,126,126,125,125,126,127,127,127,127,126,126,127,130,131,129,126,124,126,129,131,131,131,130,128,127,128,131,134,133,131,131,132,132,134,134,135,136,138,140,140,139,140,142,143,145,146,145,142,138,132,129,130,132,133,135,136,135,136,139,141,138,134,133,135,137,136,135,134,136,137,136,136,137,139,139,140,140,139,139,140,143,143,140,141,146,147,146,144,145,146,146,145,146,150,155,155,154,152,151,152,155,156,153,149,147,147,144,145,151,154,150,145,143,147,151,152,149,145,144,147,151,155,153,147,146,147,147,150,152,151,149,148,147,146,146,150,154,156,158,159,153,147,149,154,156,152,148,151,155,157,157,153,149,148,151,154,155,156,157,155,150,145,143,143,143,142,143,146,149,151,153,155,155,154,155,157,154,150,146,143,145,149,155,156,152,148,146,149,152,150,150,153,154,152,148,150,155,155,154,155,158,162,162,160,159,156,154,153,153,151,147,143,143,145,149,151,152,154,156,160,163,162,157,154,152,152,152,149,144,145,153,157,157,154,153,152,149,148,151,152,152,153,154,154,155,155,156,158,158,154,null],[138,142,142,142,143,145,144,143,143,142,140,139,136,133,131,132,135,138,139,141,142,140,138,137,140,143,142,142,144,142,136,129,128,131,136,137,136,134,131,129,132,139,141,141,138,136,136,139,137,134,134,138,139,127,113,111,117,124,125,123,123,124,124,126,127,128,129,128,128,127,127,128,128,129,130,134,139,140,139,138,139,139,138,138,141,143,142,141,141,141,141,140,139,138,139,137,134,135,138,141,140,139,140,141,140,139,136,133,135,140,141,141,141,141,141,140,140,139,137,137,138,135,132,133,135,135,134,130,123,122,127,131,133,134,132,127,121,117,116,118,120,124,126,127,128,129,131,132,130,126,123,125,129,132,134,134,134,134,132,130,131,131,131,132,134,134,135,136,135,134,136,137,137,137,139,140,139,138,138,138,138,138,136,134,132,133,136,138,138,138,137,134,129,125,124,127,130,132,133,135,137,136,134,130,129,131,134,136,138,138,138,137,136,133,131,133,134,131,127,123,123,127,130,130,127,125,123,122,120,118,117,119,123,125,124,120,114,110,111,110,107,105,101,99,100,102,103,103,102,101,105,111,119,123,121,116,114,117,121,124,126,127,127,126,125,125,126,127,126,126,127,127,127,130,131,129,124,121,122,128,132,132,131,131,130,128,128,130,132,132,131,130,130,131,133,134,135,136,139,141,141,139,139,142,144,144,143,142,139,135,132,130,130,132,131,131,133,133,135,138,140,139,136,134,134,134,133,133,134,135,135,135,134,136,138,139,139,138,137,138,142,146,148,143,141,145,147,144,144,145,147,147,147,147,149,153,153,151,149,149,150,153,154,154,151,148,147,145,146,151,153,151,147,146,146,151,153,151,147,146,147,152,156,154,148,145,147,150,152,154,153,152,151,149,147,147,150,155,159,159,156,150,147,147,153,155,152,149,152,156,157,154,149,146,149,154,158,157,156,154,151,146,143,144,147,146,142,142,145,147,149,151,152,153,153,155,156,154,151,147,144,143,147,152,152,149,145,145,147,149,149,150,153,156,156,152,152,153,153,155,157,159,160,159,157,155,154,154,155,154,150,145,144,145,149,150,149,151,157,160,162,162,161,158,156,155,155,153,149,145,146,150,154,155,154,153,151,150,152,155,154,152,154,157,157,155,154,155,157,158,156,null],[140,142,141,141,141,144,145,145,144,141,139,138,137,135,133,132,133,136,139,142,143,141,139,139,141,141,141,142,142,139,133,126,127,134,138,138,136,136,135,132,131,135,139,141,138,136,137,139,138,135,136,138,138,126,113,111,118,124,126,124,125,125,125,126,127,127,128,130,132,132,130,128,129,132,136,139,141,140,139,138,139,140,138,136,138,141,140,140,141,142,142,141,139,138,138,136,133,134,138,141,140,138,139,139,140,140,137,132,132,136,138,139,140,141,142,142,140,139,138,140,141,138,132,129,129,131,131,128,122,124,130,134,134,134,133,130,125,120,117,116,117,120,123,124,126,129,132,133,130,127,126,128,130,132,134,134,134,134,133,132,132,132,131,131,131,132,135,137,136,134,134,135,135,136,138,140,141,139,137,137,138,137,135,133,134,137,139,140,138,135,132,129,126,125,127,132,135,135,135,136,137,136,134,130,129,132,136,137,137,137,138,139,138,135,132,132,133,131,127,124,123,124,126,126,124,123,123,124,122,119,118,119,121,122,122,121,116,112,112,111,108,104,101,98,98,100,100,101,102,102,103,108,115,120,121,116,112,113,117,123,125,125,127,128,126,126,127,126,126,126,127,127,127,128,130,128,123,120,121,125,129,130,128,129,131,130,129,129,130,132,133,132,132,132,134,135,136,136,137,140,141,140,140,139,141,141,140,138,136,136,135,133,133,133,129,127,129,132,134,136,138,139,137,135,134,134,134,135,138,139,136,134,134,137,139,140,140,139,139,140,144,148,149,145,142,143,143,142,144,146,148,150,149,146,146,148,148,147,146,147,149,151,153,154,153,151,150,149,148,149,151,153,151,147,144,148,152,153,150,150,149,152,154,153,150,146,146,150,153,154,155,154,151,148,149,152,153,154,159,160,154,149,147,147,149,151,152,152,153,155,155,151,148,150,154,158,159,158,155,150,146,143,145,149,152,148,143,142,146,148,148,149,149,150,152,154,154,153,152,149,147,145,145,147,148,147,147,148,147,148,150,150,150,153,157,157,153,151,154,159,161,161,160,157,155,154,153,152,151,150,147,145,146,149,153,153,150,151,157,161,161,159,158,158,155,154,153,151,148,147,147,150,153,154,153,154,154,153,155,157,155,153,152,155,157,156,155,155,158,161,160,null],[138,140,140,141,142,142,144,146,145,140,137,137,138,136,133,133,135,137,138,140,142,142,141,140,140,141,141,142,141,136,129,125,130,137,140,139,137,138,138,135,131,131,135,137,137,138,139,140,139,138,138,139,138,128,116,112,116,122,125,126,125,124,125,127,128,128,128,131,134,135,133,130,131,135,139,141,140,139,140,139,140,140,138,136,137,139,139,140,142,143,142,141,140,139,138,135,133,135,138,141,141,140,139,140,140,140,137,132,131,135,138,139,139,140,142,143,142,141,139,139,140,138,134,131,130,131,131,128,124,125,131,136,138,137,136,133,129,123,120,118,117,118,120,122,125,127,130,132,131,130,129,131,132,133,135,134,134,134,134,133,133,133,134,133,132,133,135,137,137,136,135,134,134,134,136,139,140,139,137,137,137,137,135,136,136,138,139,139,137,134,130,126,124,126,132,136,136,135,136,138,139,137,134,131,129,132,137,138,137,137,139,139,137,133,132,132,132,129,126,125,124,122,122,123,123,122,122,124,123,120,118,119,122,122,121,118,114,112,113,111,108,105,102,100,99,99,100,101,102,100,101,106,113,118,119,116,113,113,117,122,124,124,126,127,128,129,129,127,127,127,129,128,126,125,127,126,123,120,120,122,124,125,125,128,130,131,130,129,130,132,134,134,134,133,133,134,135,135,135,137,140,141,138,134,134,136,137,137,137,139,138,135,135,132,126,124,127,132,135,137,137,136,135,134,134,135,136,137,140,142,139,135,134,137,140,140,139,139,139,141,144,146,145,143,141,143,143,144,145,146,145,147,148,146,146,146,146,146,146,148,151,152,153,154,151,149,150,151,150,149,151,153,150,146,144,147,149,150,151,152,152,153,154,154,151,147,145,147,151,156,159,156,151,148,150,156,155,153,156,158,154,152,151,150,149,150,154,156,155,154,153,152,153,157,158,158,157,156,153,148,146,149,152,154,155,150,144,143,146,149,149,147,145,145,148,150,152,154,155,153,151,149,147,146,147,148,151,153,152,151,152,151,149,151,155,158,154,151,154,159,160,161,159,158,155,153,150,147,146,147,146,145,146,149,154,155,152,150,153,156,157,157,158,158,155,154,153,150,147,146,147,150,154,155,154,153,154,153,153,153,153,153,153,153,155,157,156,155,160,165,164,null],[134,137,140,142,142,141,143,145,143,139,135,138,139,135,132,133,137,139,138,139,141,142,142,140,141,141,141,141,139,132,127,127,133,138,140,139,137,138,138,134,132,132,134,135,136,138,140,140,141,141,139,138,137,129,119,113,114,119,123,125,124,123,124,126,127,127,127,130,134,135,133,131,132,136,139,140,139,139,140,140,140,138,137,138,139,140,140,140,140,142,142,140,140,140,139,137,134,135,138,139,141,141,141,141,141,139,136,133,134,137,140,140,139,139,141,142,143,141,140,139,138,138,136,135,134,134,134,131,126,126,131,137,141,141,139,135,131,126,121,120,120,118,118,120,123,126,128,130,132,132,132,132,132,133,135,135,135,135,135,135,134,134,136,137,136,135,136,138,139,139,137,135,134,134,136,138,138,137,137,137,137,137,138,138,138,137,138,138,138,136,131,125,124,128,135,137,135,133,135,139,140,138,136,132,129,131,135,136,135,136,138,139,135,132,131,132,130,126,124,125,124,123,122,123,124,123,122,122,122,119,118,120,122,122,120,116,112,110,111,109,107,106,105,103,100,100,102,103,101,100,102,106,112,116,117,116,115,116,119,120,120,122,124,127,130,131,129,128,128,129,129,128,125,124,124,124,123,121,120,122,123,124,125,126,129,132,132,131,131,132,132,133,133,133,133,132,134,134,134,135,139,143,139,132,131,132,134,136,138,140,139,137,135,132,125,123,127,132,135,137,135,132,130,131,133,135,137,136,138,140,139,137,134,135,136,136,136,136,137,140,142,141,138,137,139,142,144,145,145,144,142,142,143,145,146,146,146,145,146,148,152,154,154,152,147,144,147,149,151,151,153,153,149,145,146,147,148,147,149,153,152,151,154,155,153,148,146,147,151,156,161,159,153,149,151,157,157,153,152,153,154,154,153,153,152,151,155,157,155,154,154,156,158,160,157,155,154,153,151,149,151,156,157,155,154,150,145,144,146,148,148,148,145,143,145,146,149,154,155,153,153,153,153,151,148,149,152,155,155,154,154,152,149,150,153,157,156,153,153,155,156,158,159,158,155,151,148,147,147,148,148,146,145,148,152,154,154,152,152,152,154,158,159,157,156,154,153,150,146,145,147,150,155,157,155,154,154,153,152,151,152,155,156,155,154,156,156,154,160,166,164,null],[132,137,143,144,142,140,142,143,140,137,136,139,140,134,130,132,138,141,139,140,142,143,143,141,141,141,141,139,136,129,128,132,135,137,138,138,138,139,136,132,133,137,137,135,134,136,139,139,140,141,137,135,134,129,121,116,114,115,119,122,123,123,123,124,124,124,125,129,132,133,131,130,132,135,138,138,137,137,139,138,138,137,139,140,142,142,141,139,137,139,141,141,141,142,140,138,137,137,138,137,138,139,142,143,142,139,135,134,136,140,142,141,139,138,140,141,142,141,140,139,140,139,136,136,138,138,137,133,127,127,132,137,141,141,140,138,134,128,121,121,122,121,119,120,122,124,126,129,132,132,132,131,131,131,132,134,135,135,136,136,135,134,136,137,137,136,136,137,139,140,139,137,135,136,137,137,137,137,137,138,137,138,139,140,139,138,139,140,140,136,130,125,125,130,136,137,134,132,133,136,138,138,137,135,131,131,132,132,131,132,135,138,136,134,132,130,128,126,124,124,125,123,122,123,124,124,123,122,120,118,118,120,121,119,118,116,113,110,109,107,106,106,106,105,103,104,106,105,102,103,105,107,111,115,116,115,116,119,120,117,117,120,124,127,128,127,126,126,129,130,128,126,125,123,122,123,122,121,122,124,125,125,126,125,127,131,133,132,132,132,131,131,131,133,133,133,135,135,135,136,140,143,140,134,132,132,133,135,136,136,137,137,136,131,125,124,128,131,133,135,133,130,128,129,132,135,136,136,135,136,136,137,136,132,130,130,132,135,136,138,139,136,133,134,138,141,143,143,143,142,141,138,139,142,144,144,144,142,142,145,150,152,152,150,144,141,143,147,150,152,154,154,150,147,148,149,149,147,148,151,149,148,152,155,154,151,151,155,155,154,157,158,156,153,153,157,157,153,149,149,151,152,153,155,154,153,153,153,154,156,158,160,159,157,153,151,152,151,149,153,157,159,157,153,150,147,145,145,146,144,147,150,150,147,148,146,147,150,151,150,151,153,156,155,152,149,150,153,155,156,154,150,148,151,155,156,157,156,152,150,154,158,160,157,152,149,149,151,153,153,151,147,146,148,150,151,153,155,157,155,156,159,159,156,155,154,152,148,145,147,149,152,155,158,159,158,157,156,154,152,153,158,161,159,155,157,157,155,159,163,160,null],[136,139,145,144,141,141,143,144,140,137,138,139,138,133,131,134,137,140,139,140,142,144,144,143,141,140,139,136,132,128,129,135,137,137,136,138,140,139,134,131,134,139,139,137,134,134,136,138,139,139,137,134,133,130,126,122,117,113,115,118,120,121,122,122,123,122,124,126,128,128,127,130,133,135,136,135,132,132,135,136,135,137,140,143,144,143,141,138,137,138,140,140,141,142,141,139,138,139,139,137,136,138,141,143,143,141,137,135,137,140,141,140,139,138,139,140,141,141,140,140,140,137,135,136,139,140,139,133,126,126,131,136,138,138,138,138,137,132,126,123,122,121,121,121,121,122,125,128,130,131,130,129,129,131,132,133,134,135,135,136,136,136,137,138,138,137,137,137,138,140,140,139,137,137,138,137,136,136,137,138,137,138,139,140,141,140,140,139,138,134,128,124,126,132,137,137,136,135,134,134,136,138,139,137,133,129,129,129,130,131,132,134,136,136,134,131,127,125,124,124,125,123,120,121,124,124,124,122,119,117,118,120,120,118,117,116,113,111,111,110,108,108,109,109,108,107,108,106,103,104,107,109,111,112,114,115,116,119,118,116,116,120,124,126,124,122,122,125,128,128,126,124,123,122,121,122,123,123,124,126,125,125,125,125,126,129,131,131,132,132,131,130,130,131,133,134,136,137,137,138,138,138,136,134,132,133,135,135,134,132,134,137,135,130,127,126,128,129,130,130,131,130,130,132,134,135,135,136,134,132,134,137,138,132,127,126,129,134,135,136,136,135,132,134,137,140,141,140,139,138,138,137,138,141,142,141,140,140,141,144,147,149,149,147,142,140,141,144,147,150,153,154,152,151,150,151,150,148,148,150,150,151,154,156,154,153,155,160,158,153,152,155,156,154,152,153,153,152,148,145,146,148,151,155,156,155,154,153,154,158,161,160,157,154,152,152,152,151,150,156,160,158,155,152,149,146,145,147,146,142,145,152,153,153,155,153,150,149,149,149,149,150,154,157,156,152,150,151,155,157,153,149,147,151,156,158,159,157,152,149,153,158,160,157,152,149,151,155,156,155,152,149,147,146,146,148,152,156,159,157,156,159,160,156,153,151,150,147,147,150,152,154,155,157,160,162,161,159,155,151,153,158,162,160,157,159,159,156,159,161,158,null],[141,141,143,142,141,143,144,143,141,140,141,138,134,133,134,137,138,138,138,139,142,145,145,143,141,138,135,132,129,128,131,137,139,138,136,138,141,137,132,130,134,139,140,139,137,135,135,137,138,138,138,136,134,133,132,130,122,115,114,116,117,118,119,122,123,123,123,124,124,123,124,129,134,134,133,132,130,130,133,134,135,138,141,144,145,142,139,138,139,139,139,139,140,141,141,139,138,139,140,139,138,138,140,141,141,142,139,135,136,139,140,139,139,139,139,140,142,142,141,140,139,136,134,137,139,140,137,132,126,125,129,132,134,134,135,137,139,137,131,126,122,121,121,121,121,121,123,125,128,129,127,125,127,130,132,133,134,135,136,136,136,137,139,138,138,139,139,139,139,140,141,140,138,138,139,138,137,136,137,137,137,138,139,140,141,141,140,138,135,131,126,124,127,133,137,138,138,138,136,135,136,138,139,137,133,130,128,129,132,133,131,131,135,138,136,132,127,125,124,125,124,121,117,119,123,124,124,123,120,117,118,120,121,119,117,115,113,113,115,114,112,111,113,114,112,109,108,105,103,103,106,110,111,111,112,114,116,118,118,117,118,120,122,122,121,119,120,124,125,124,123,122,121,121,121,121,122,124,126,127,124,123,124,125,126,127,129,129,130,131,132,132,131,131,131,133,135,137,138,138,136,133,130,131,132,135,137,135,132,131,133,136,134,130,129,129,128,128,128,128,130,131,133,135,136,134,134,135,133,129,132,137,138,133,127,126,130,133,135,135,135,135,134,134,137,141,141,138,136,135,135,136,139,141,140,137,137,139,143,145,144,145,145,143,141,140,141,144,145,147,150,153,155,154,152,152,152,150,149,150,153,156,157,155,152,153,157,159,156,152,150,150,151,150,148,148,149,149,147,142,141,144,150,153,155,155,153,152,152,155,159,158,156,154,155,155,154,152,152,158,160,157,154,153,150,148,147,148,147,143,145,151,153,155,158,158,156,153,152,152,149,148,150,156,158,157,154,152,155,157,153,149,151,151,154,158,160,157,153,152,153,156,159,158,155,151,153,157,155,154,153,150,147,144,145,147,150,154,156,156,156,159,160,157,153,150,150,148,148,150,153,155,154,155,160,163,162,158,154,152,153,156,159,159,159,162,162,159,160,161,158,null],[144,141,139,139,142,146,145,141,140,142,143,138,133,133,136,139,140,140,139,140,142,144,144,142,140,137,132,129,129,131,136,140,142,140,137,137,139,135,131,131,135,139,140,140,140,138,137,137,138,138,139,138,136,135,136,134,126,118,115,116,115,115,117,121,123,123,123,122,121,120,122,127,131,131,130,129,131,133,135,136,137,139,141,143,144,141,136,136,139,139,138,138,139,140,139,139,139,140,140,140,140,140,140,139,139,141,139,135,134,137,139,140,140,139,139,140,141,141,141,141,139,137,137,138,138,137,134,132,132,130,128,128,131,133,133,134,139,139,135,129,125,122,120,119,120,121,122,124,125,125,124,123,124,126,129,132,135,137,137,135,135,137,138,138,138,140,141,140,141,142,142,141,139,139,140,140,139,137,137,137,138,139,140,139,140,141,140,137,133,129,125,124,127,132,136,138,138,137,138,138,139,138,136,135,134,132,129,131,135,136,132,131,135,138,136,131,127,125,125,125,123,119,117,118,121,124,125,124,120,117,118,120,121,119,116,115,115,116,118,117,115,116,117,115,111,108,108,106,103,103,106,110,113,113,112,113,115,119,121,121,121,120,120,120,120,119,119,121,121,120,120,120,120,121,122,121,120,122,126,127,125,124,125,126,125,125,126,127,128,129,130,131,132,132,131,131,133,136,137,137,136,132,128,128,132,136,135,133,131,131,133,135,135,134,133,130,127,126,126,129,131,132,133,132,131,131,131,131,128,126,130,134,134,130,127,128,131,134,135,134,134,134,134,133,136,140,139,134,132,134,137,138,139,140,139,138,138,141,145,145,141,140,138,138,140,142,143,144,146,145,147,152,154,154,153,153,154,153,150,151,154,156,155,151,149,152,155,155,152,150,149,148,146,143,143,145,147,146,143,140,139,143,148,151,151,149,147,145,146,150,157,159,159,159,157,154,152,151,153,157,159,158,154,152,152,152,152,153,150,146,146,148,150,152,156,159,159,157,157,157,154,151,150,153,156,158,157,156,156,157,155,156,158,154,151,155,156,155,156,156,154,154,156,158,156,153,155,158,156,153,151,148,147,146,146,146,148,149,152,155,158,158,158,156,154,153,152,149,148,150,152,153,152,154,158,161,160,158,157,156,154,153,155,157,158,163,165,163,162,161,159,null],[141,138,136,138,144,147,144,139,139,142,143,138,133,133,136,139,142,142,141,141,142,144,143,141,141,138,132,128,129,134,139,143,144,141,138,137,137,135,132,132,135,139,140,140,141,140,139,139,139,139,139,137,134,135,136,134,128,122,119,117,114,114,116,118,121,122,122,120,120,119,121,123,126,128,128,129,132,135,136,138,138,138,139,139,140,138,135,134,136,136,136,137,138,139,139,141,142,141,140,139,140,139,139,138,138,140,138,135,134,136,138,140,140,140,139,140,141,142,142,142,141,140,139,138,136,134,133,135,139,136,129,128,132,134,133,133,137,140,137,133,129,124,119,119,121,122,123,124,124,124,123,124,124,124,125,129,134,138,137,134,134,137,138,137,137,139,141,141,141,142,142,140,139,139,141,141,140,138,137,138,140,140,139,137,138,140,139,136,131,128,126,126,127,129,134,137,137,138,139,141,140,137,134,134,135,135,134,134,136,136,133,132,135,138,135,131,128,126,125,124,121,119,119,120,121,123,124,123,120,117,117,119,120,118,116,116,117,119,120,118,117,120,120,115,109,107,107,106,104,103,106,110,114,115,114,112,114,118,122,123,122,121,120,121,122,122,121,120,121,122,121,120,121,123,123,121,120,122,126,127,125,124,125,126,125,125,126,127,127,127,128,129,131,133,133,131,131,131,133,135,135,133,128,127,131,133,131,129,130,131,133,134,136,136,135,132,129,126,126,128,132,132,131,129,129,130,129,127,125,126,129,131,129,127,127,129,132,133,133,133,133,133,132,132,135,138,136,133,132,135,138,140,139,139,138,137,139,142,144,143,140,138,136,137,141,145,145,145,146,146,148,150,151,152,152,154,156,153,149,149,152,152,150,147,146,150,153,152,149,148,148,146,144,141,140,144,146,144,141,139,141,144,148,150,148,144,142,142,144,149,154,157,159,159,155,151,151,153,155,157,158,155,152,150,152,154,157,158,155,149,146,148,150,153,155,158,160,159,159,160,160,158,154,152,154,156,157,158,158,158,158,160,161,157,152,154,154,154,157,157,154,152,155,157,158,157,156,157,156,153,149,146,147,150,149,146,147,148,150,153,156,157,157,158,157,155,152,149,147,148,150,152,154,156,158,160,161,161,162,162,157,153,154,157,158,160,163,165,165,164,163,null],[136,136,135,139,144,144,142,140,140,142,142,137,133,134,136,138,141,141,141,141,142,143,142,139,141,139,133,129,129,133,140,143,143,140,138,138,138,136,133,133,135,138,140,140,140,139,138,140,141,141,139,134,132,134,136,133,128,124,120,118,115,114,115,116,118,120,120,118,118,118,119,121,123,125,127,129,131,133,135,136,136,134,134,135,135,134,134,132,131,133,136,138,138,138,140,142,143,141,139,138,139,138,139,139,140,140,138,136,136,138,138,138,138,140,140,141,141,143,143,142,141,141,139,137,134,134,136,140,141,135,129,130,135,136,136,135,137,139,138,137,132,125,120,120,122,125,125,126,126,126,126,128,128,126,124,125,130,135,134,132,134,138,137,136,136,138,139,140,140,140,140,139,139,140,141,141,139,137,138,140,142,142,139,136,136,137,137,134,129,126,126,127,127,127,130,134,136,139,140,140,139,136,134,134,137,139,139,138,137,135,133,134,136,136,135,133,131,127,125,123,120,120,122,123,121,121,121,121,119,117,116,118,118,117,116,117,120,122,121,119,118,119,119,115,110,107,106,105,105,105,107,111,115,116,115,113,113,115,118,120,121,121,122,124,125,124,123,123,124,125,122,120,121,123,123,121,121,122,125,127,125,124,123,125,126,127,128,129,128,127,127,128,131,133,134,133,129,127,128,132,134,132,129,127,127,127,126,127,129,131,133,134,136,136,135,134,132,129,127,127,130,131,128,128,131,131,128,125,125,128,129,128,125,125,127,128,130,130,129,129,130,131,131,132,133,135,134,134,135,137,138,140,139,137,136,136,138,140,141,140,139,139,139,141,145,147,146,144,144,148,149,147,147,149,150,152,154,150,146,146,148,149,147,145,145,149,152,152,148,145,144,146,146,142,139,142,143,142,141,142,145,146,147,149,147,143,142,144,147,150,151,152,154,155,152,150,153,157,159,158,154,151,149,150,153,156,157,161,159,151,146,149,155,158,157,158,159,157,158,161,164,163,157,153,153,154,156,157,160,161,160,159,159,158,156,156,155,155,156,156,154,153,154,157,159,160,157,154,153,151,148,146,148,152,151,148,148,149,150,150,152,155,159,161,159,155,151,149,148,147,149,153,156,158,159,161,163,164,166,165,160,156,157,159,159,158,158,163,166,167,165,null],[133,135,137,141,143,142,140,141,141,141,141,137,134,135,137,139,141,141,141,142,143,143,141,139,140,139,132,127,127,132,138,141,141,139,138,139,140,137,134,133,135,140,141,141,139,139,140,141,142,141,139,136,135,137,138,135,131,126,121,117,115,115,115,115,116,116,116,116,116,117,118,119,122,124,126,127,129,132,133,132,130,129,128,129,128,130,133,132,131,133,137,139,139,139,140,141,141,140,138,137,137,138,139,140,140,140,139,137,138,138,137,137,138,140,142,141,141,142,142,141,140,140,139,137,136,136,138,139,137,131,128,131,136,138,139,139,139,139,139,138,132,124,120,121,123,125,127,128,128,128,129,130,131,129,126,125,126,128,129,129,132,135,136,136,138,139,139,139,139,139,138,139,140,141,142,142,139,137,139,141,143,143,142,138,134,132,131,130,127,125,125,127,129,129,128,129,132,136,137,136,135,135,135,137,138,139,140,139,137,134,134,136,138,136,133,132,131,128,125,124,122,122,124,125,123,121,121,120,119,118,117,117,116,116,116,118,121,124,123,120,118,118,118,116,113,110,108,106,106,107,109,112,115,116,116,114,113,113,114,116,118,120,122,124,124,122,121,122,125,125,121,119,120,121,121,120,121,122,124,126,125,124,124,125,127,128,128,127,127,127,127,129,132,134,133,131,127,126,128,130,131,130,129,128,124,122,123,126,128,130,132,133,135,135,135,135,134,130,127,127,128,128,126,127,130,128,125,123,125,126,126,124,123,125,127,128,128,127,126,126,129,132,133,134,133,133,133,134,136,137,138,141,140,135,134,137,137,137,137,139,141,141,142,145,147,149,148,145,143,144,145,144,145,147,148,148,149,148,146,144,145,146,145,145,148,149,151,152,148,143,141,145,148,145,139,139,139,139,142,146,147,145,144,146,146,143,143,146,148,149,147,149,151,152,152,153,155,159,161,157,152,149,151,154,156,156,155,156,156,150,146,147,153,157,155,155,155,155,158,162,164,162,158,155,154,157,159,160,161,163,161,158,157,157,158,157,155,154,152,152,153,153,154,157,161,161,159,154,150,149,150,150,151,151,148,148,152,153,151,151,152,155,160,162,159,154,150,151,152,149,148,152,153,155,158,162,164,162,162,164,163,160,159,160,161,159,158,159,164,167,166,null],[135,136,140,141,141,139,139,141,141,140,138,136,136,137,139,141,141,141,142,143,143,142,141,139,139,137,130,127,127,131,136,138,139,138,138,139,140,138,135,134,135,140,142,141,139,140,141,142,141,141,139,138,139,141,141,136,132,128,123,117,116,116,116,117,115,114,114,116,117,116,116,118,120,122,123,124,127,130,129,127,126,126,127,127,128,129,133,135,135,135,136,139,140,140,140,139,139,138,137,137,138,138,140,140,140,140,140,139,139,138,137,138,139,140,140,139,139,139,139,139,139,139,140,138,138,139,139,136,131,128,129,132,135,137,140,141,140,139,138,136,130,123,119,120,122,125,127,127,128,129,130,131,132,132,130,127,125,124,125,127,129,131,132,135,139,140,139,138,138,139,138,138,140,141,142,142,140,139,139,140,141,142,143,140,134,128,126,128,129,127,126,127,130,131,130,127,128,131,134,133,133,134,136,138,137,138,139,139,137,136,137,138,138,136,133,131,129,128,128,127,125,124,124,126,125,123,121,121,121,120,119,116,115,116,116,117,120,124,124,122,120,119,118,117,115,112,110,107,106,107,110,113,115,115,115,115,115,113,112,113,115,118,120,121,120,119,119,121,122,121,119,118,118,118,118,119,120,121,124,126,127,126,125,126,128,127,126,125,126,127,128,130,132,133,131,127,126,126,128,128,127,127,127,127,122,120,123,126,126,127,130,133,134,134,134,133,131,128,127,128,127,125,125,125,126,125,123,122,123,124,124,124,124,125,126,128,128,127,125,126,129,132,134,133,133,132,133,134,136,137,139,142,139,134,134,139,139,137,135,139,141,140,142,145,147,149,149,146,142,139,139,142,146,147,146,144,144,147,147,144,143,143,144,146,149,149,150,151,148,143,140,143,147,146,142,139,137,137,142,147,147,143,142,145,146,143,142,144,145,145,145,148,152,153,155,157,158,160,159,154,150,150,154,159,160,158,155,151,149,149,147,147,149,153,154,152,151,154,158,161,162,161,159,156,156,159,162,162,163,162,159,156,155,155,155,155,153,151,150,150,153,154,155,157,159,159,158,155,150,150,153,155,152,149,145,147,155,156,152,153,155,157,159,160,159,155,152,154,155,150,149,151,150,150,155,160,161,157,155,159,162,161,159,161,163,165,162,158,161,166,166,null],[138,139,140,138,137,137,139,140,140,139,136,137,138,139,141,143,142,141,143,143,142,141,140,138,136,134,131,131,132,132,133,135,138,139,139,139,140,140,138,137,136,138,141,142,140,140,141,141,140,139,138,138,139,140,139,133,130,129,125,120,117,118,120,120,117,115,115,117,118,118,117,117,119,120,121,123,125,126,125,124,125,128,131,132,133,135,137,139,139,137,136,138,139,140,140,138,137,137,138,138,139,139,140,140,140,139,139,140,139,139,139,139,140,139,138,137,137,137,136,136,138,139,140,139,138,138,138,134,129,128,132,135,136,136,137,138,139,139,137,134,129,122,119,120,122,124,125,125,126,129,131,131,132,133,133,131,128,125,124,125,127,128,130,133,136,137,135,134,136,137,137,138,140,141,142,141,141,140,140,139,139,139,140,138,132,126,125,130,133,133,130,129,130,132,131,130,128,129,131,132,133,134,136,136,136,136,138,139,138,137,137,137,137,137,134,129,126,128,131,130,127,126,126,127,126,123,121,121,122,122,120,117,116,116,116,116,119,122,124,124,123,122,119,116,113,112,109,106,104,105,109,112,113,114,116,117,116,114,113,113,114,116,118,118,119,120,121,121,119,118,119,120,118,117,117,120,120,120,123,126,128,127,125,125,126,126,126,126,128,129,129,131,132,132,129,125,124,125,125,124,124,124,125,125,123,123,125,126,125,125,128,131,132,132,131,129,127,127,127,127,127,126,125,126,126,126,124,124,124,124,125,126,127,127,126,127,128,129,128,127,128,130,131,130,131,132,134,136,139,139,139,140,137,133,134,140,141,139,137,137,138,139,141,144,147,148,148,146,142,139,139,143,147,147,144,141,142,146,148,144,141,141,144,146,146,147,148,149,148,145,142,141,142,144,144,142,138,137,141,146,145,143,142,145,145,143,141,141,143,144,145,149,153,155,156,158,161,160,155,152,150,151,154,159,161,162,159,151,146,148,151,150,147,150,158,157,151,152,155,157,160,162,161,158,156,159,161,162,162,160,157,153,151,151,151,152,152,151,150,152,155,156,156,155,155,155,155,154,154,154,155,154,152,149,147,149,155,156,153,153,156,157,159,159,159,158,156,155,153,150,151,154,151,150,152,156,157,153,152,155,158,157,157,161,167,168,164,160,162,166,167,null],[142,141,139,135,135,138,140,140,139,137,137,138,140,140,141,142,142,141,142,142,141,139,137,134,133,133,133,136,138,134,131,132,136,139,140,140,141,141,141,141,137,134,138,141,141,141,140,138,137,137,137,139,138,137,135,133,132,130,126,121,118,119,122,121,119,117,116,117,120,120,118,117,117,117,119,122,123,124,125,126,128,131,133,136,137,138,140,141,140,138,137,138,139,140,139,136,136,138,140,140,139,139,139,140,140,140,140,141,140,140,141,141,140,139,138,137,135,134,133,134,137,139,140,139,138,137,134,131,127,129,135,138,139,137,136,136,139,139,138,133,128,123,120,120,122,123,123,124,125,128,130,131,132,134,134,133,131,128,125,124,125,129,131,132,133,134,135,135,135,136,137,138,140,141,142,142,141,141,141,140,139,138,136,134,130,127,129,133,136,135,132,130,129,130,132,132,131,130,130,130,132,135,136,135,135,136,137,138,138,137,137,136,135,134,132,126,123,126,130,130,129,127,128,127,125,123,122,122,125,125,122,118,116,117,117,117,119,121,123,123,123,122,120,116,113,111,107,104,104,105,108,109,111,114,116,116,115,114,113,114,114,116,118,120,120,121,122,121,119,118,120,121,119,117,118,119,119,119,121,124,126,125,123,123,124,125,126,127,128,129,130,131,131,129,126,123,124,125,124,122,121,122,124,126,128,129,129,127,127,127,128,129,129,129,128,127,126,126,127,127,129,129,128,128,128,128,127,126,126,126,127,130,131,130,128,128,130,132,132,130,129,128,129,128,128,131,134,136,138,138,138,137,134,132,133,137,140,140,137,135,136,139,141,144,147,148,148,148,146,143,141,143,146,146,142,141,144,148,149,145,140,140,143,146,146,145,146,149,149,147,144,142,142,144,146,143,139,137,139,141,141,141,142,143,142,141,140,141,145,146,147,150,152,154,155,157,160,159,154,154,155,152,152,155,159,161,159,151,146,151,154,152,146,149,159,160,153,152,155,157,161,162,160,156,155,157,160,160,161,160,156,151,148,147,149,151,152,152,151,152,155,158,157,154,151,151,152,155,157,158,155,153,153,155,153,151,154,157,155,153,154,158,159,158,157,158,159,156,151,149,153,158,156,152,151,153,155,155,155,155,155,155,155,159,165,166,165,165,167,168,168,null],[143,142,137,135,136,140,142,140,138,138,138,140,140,140,140,141,142,142,141,141,140,137,134,131,131,133,137,141,141,136,131,130,133,137,139,141,142,142,143,144,139,134,136,139,141,141,139,136,134,135,137,138,137,135,135,136,134,128,123,120,119,120,121,122,122,121,118,117,120,122,121,118,115,115,119,122,122,123,126,129,130,130,131,134,137,138,139,140,139,139,138,139,139,139,137,135,135,139,142,141,139,138,139,140,140,141,141,141,140,140,141,142,141,141,140,138,135,134,132,133,136,139,140,139,137,134,131,128,126,129,134,139,141,140,138,137,139,141,139,134,127,123,122,122,122,122,124,124,126,128,130,130,132,134,135,133,132,131,129,126,127,131,134,134,133,133,135,137,136,135,137,139,140,141,143,144,142,141,140,141,141,139,134,131,128,128,132,136,136,133,131,131,130,130,131,134,135,133,131,129,130,134,136,135,135,135,136,138,138,138,137,135,133,130,128,124,122,123,126,128,129,128,127,126,124,124,123,123,125,126,124,120,116,116,118,119,119,120,122,122,121,120,119,118,115,111,107,104,105,108,108,107,109,114,115,115,113,112,112,113,114,117,120,122,121,121,121,121,120,120,121,121,119,118,118,118,117,117,119,121,123,123,122,121,123,124,126,127,127,128,130,131,130,127,122,122,125,127,126,123,121,122,125,129,133,133,131,129,130,131,131,129,127,126,126,126,125,125,125,127,130,132,131,130,130,129,129,130,129,128,130,133,134,133,131,132,132,133,135,135,132,130,129,128,128,129,131,133,133,134,134,134,133,131,132,134,137,138,136,136,137,139,143,145,147,148,149,151,150,147,142,141,143,144,141,142,146,149,149,146,140,139,144,149,148,146,146,149,149,147,144,142,143,145,145,140,137,137,138,138,137,137,139,140,140,139,141,145,149,150,149,150,150,151,152,154,155,155,155,159,160,154,152,154,157,157,153,148,148,155,156,151,147,149,156,159,156,155,156,160,162,159,155,152,152,156,159,159,160,159,156,151,146,145,149,152,154,153,150,150,153,156,155,152,149,150,152,157,159,158,154,153,156,159,156,152,155,158,158,153,152,157,158,156,155,157,159,155,149,149,154,158,159,155,152,152,155,158,159,158,158,158,156,156,158,161,164,167,169,169,167,null],[142,139,135,136,140,142,141,139,140,141,140,141,140,140,141,142,143,143,141,139,137,136,133,130,131,135,140,142,141,137,133,130,131,134,136,138,140,141,142,143,140,135,136,138,140,140,137,135,133,132,135,136,136,136,136,136,132,126,123,122,120,120,122,124,126,127,122,118,119,122,122,120,117,116,119,123,123,122,125,128,130,129,130,132,134,137,138,138,138,138,138,139,138,137,135,134,136,140,142,141,138,137,139,141,140,140,140,140,140,140,141,141,142,142,141,139,137,137,135,134,136,137,137,135,133,130,128,128,130,130,131,133,137,138,138,138,138,140,139,133,126,122,123,124,124,124,125,126,127,129,131,132,133,134,134,134,134,132,131,130,129,130,133,134,132,130,132,137,137,137,138,139,140,141,142,143,143,141,141,142,142,140,136,132,128,128,133,136,136,134,133,134,133,131,131,133,136,137,135,131,130,133,135,136,137,135,135,137,139,138,138,136,132,128,127,126,125,124,124,125,128,127,125,124,124,124,122,121,123,125,124,119,115,116,118,118,117,118,121,123,121,120,119,120,118,114,110,107,108,111,110,107,107,112,114,115,114,112,111,111,114,118,119,120,120,121,121,122,121,120,119,118,118,118,118,119,118,118,119,120,121,122,121,121,121,123,126,128,128,130,131,131,128,124,121,123,127,129,127,125,125,125,128,131,132,130,129,130,130,129,128,128,127,125,125,125,124,123,124,125,128,130,130,129,130,131,132,132,132,132,133,133,135,135,134,135,134,134,137,139,136,132,130,131,131,129,129,130,130,131,131,132,133,134,134,134,135,137,138,139,140,141,142,144,146,148,150,151,148,146,143,139,139,140,141,144,148,148,146,145,142,141,146,150,150,148,147,148,148,146,142,139,140,144,144,139,136,139,141,140,139,137,139,141,142,141,142,144,148,151,150,149,148,150,151,152,152,152,152,156,158,156,156,157,159,156,150,148,151,157,158,152,151,153,156,157,156,155,156,160,159,154,149,148,150,152,153,155,156,156,155,151,146,147,150,152,151,149,148,150,154,152,148,146,148,151,155,159,160,157,154,155,159,159,155,152,155,160,159,153,150,154,156,156,155,155,155,152,148,148,152,157,159,159,158,157,157,159,160,159,161,162,159,155,155,157,161,164,166,167,166,null],[138,135,135,139,142,140,139,140,142,143,142,141,140,140,142,143,143,142,141,138,136,136,134,132,134,138,140,141,139,137,135,132,132,133,134,136,138,140,141,142,140,138,137,137,139,139,137,136,133,131,132,135,135,136,135,132,129,126,126,124,120,119,122,125,128,130,126,120,118,122,124,122,118,117,120,123,123,122,123,125,126,127,128,129,132,134,136,137,138,138,139,140,139,137,134,134,137,140,141,139,137,138,140,141,140,140,140,140,140,140,140,141,141,141,140,139,139,139,138,136,134,135,134,133,131,130,129,131,134,133,129,128,131,135,138,138,137,138,137,130,124,122,123,125,126,125,125,126,127,130,132,133,134,135,135,136,136,135,134,134,131,129,131,132,131,128,129,134,137,139,140,140,140,139,140,142,143,143,142,141,140,138,136,133,129,128,131,134,134,133,134,136,136,133,131,132,136,139,138,133,130,132,134,136,137,136,135,137,139,139,139,137,132,129,129,131,131,130,126,124,125,125,122,121,122,121,119,118,120,122,120,118,116,116,117,117,116,116,120,124,124,122,120,120,119,117,113,111,112,113,111,107,107,112,115,116,115,113,112,112,115,119,118,117,119,121,122,123,122,120,118,117,117,118,119,120,120,120,120,121,122,123,124,123,122,124,126,128,129,130,131,131,127,123,122,125,129,129,127,128,129,129,129,131,128,125,126,127,128,125,124,125,126,125,124,123,123,123,124,125,126,126,127,128,130,131,132,132,134,135,133,132,133,135,136,137,135,134,137,141,139,134,131,133,133,131,130,131,131,132,132,132,134,136,138,138,137,136,139,142,144,144,143,144,147,149,149,147,146,145,142,138,138,141,145,147,147,145,143,144,143,143,146,149,149,148,146,144,145,146,142,139,138,140,140,138,138,142,144,144,142,141,142,145,146,145,143,144,148,150,147,145,146,148,149,148,148,149,150,153,157,160,160,159,161,157,151,149,153,158,158,154,155,156,155,154,154,153,153,156,156,152,148,146,147,147,149,153,154,153,151,149,146,148,150,150,148,146,148,150,152,148,143,144,148,153,158,160,159,156,155,158,159,157,153,153,156,158,156,153,151,152,155,156,155,153,152,150,149,149,151,154,157,159,161,159,158,158,159,161,165,166,163,158,156,158,159,160,162,164,163,null],[135,134,137,140,139,136,137,140,142,143,142,141,140,141,143,143,142,141,141,139,137,136,133,133,137,141,140,139,139,136,134,135,136,136,134,135,138,139,140,141,142,140,136,136,138,140,139,137,134,132,131,133,135,134,130,128,129,131,130,124,118,118,122,124,127,130,129,123,120,122,126,122,117,118,121,122,122,121,123,123,123,124,126,127,129,132,134,136,137,138,139,140,140,138,134,133,136,140,141,139,138,139,140,140,139,139,140,140,141,141,140,139,139,137,137,139,139,138,137,136,133,133,133,133,134,135,132,132,136,137,133,129,128,132,137,138,137,137,136,130,123,122,123,124,125,125,123,123,126,130,133,134,135,136,136,137,138,138,137,135,133,130,129,130,131,130,130,132,136,140,141,140,139,138,139,141,144,144,142,139,136,134,134,132,128,127,128,130,131,131,134,136,136,133,132,133,136,137,137,133,132,132,132,133,135,135,135,137,140,141,139,135,133,131,131,133,134,133,128,123,122,122,120,119,117,115,116,118,120,119,117,117,118,119,118,117,117,117,119,123,127,125,121,120,119,118,116,114,113,112,110,108,109,114,116,116,115,115,115,114,117,120,119,118,120,122,123,123,122,120,118,118,120,121,121,121,122,122,122,122,124,125,127,127,126,127,127,127,127,128,129,130,128,125,124,126,129,128,126,129,132,130,129,129,128,124,122,123,124,123,122,123,124,124,122,122,123,124,126,126,125,124,125,126,128,130,130,130,132,134,132,131,132,135,137,137,135,134,136,140,141,136,132,133,134,132,132,134,136,136,135,134,133,136,140,142,139,136,138,143,147,148,147,146,148,149,145,145,146,146,142,138,141,146,149,149,146,142,141,143,144,144,145,147,148,146,143,141,143,146,145,143,140,137,135,138,141,144,145,144,144,144,146,147,148,146,145,146,148,147,143,142,144,145,145,145,146,148,150,154,159,162,161,158,161,158,152,151,155,158,158,155,155,153,150,149,150,150,150,151,154,153,150,146,144,144,149,154,154,151,149,147,146,147,148,146,147,150,150,149,147,145,144,147,150,153,157,158,156,155,157,159,159,157,156,157,157,156,155,155,156,156,156,156,153,152,151,152,153,153,151,150,152,155,156,157,157,157,159,164,167,167,165,163,162,161,160,161,164,165,163,null],[134,135,137,137,136,136,138,140,141,141,141,140,140,142,142,142,141,141,142,141,139,135,132,133,139,142,140,138,137,135,133,136,139,140,138,136,136,137,138,139,141,140,137,137,138,140,140,138,136,134,131,130,131,129,126,128,133,135,130,121,118,118,121,123,126,129,130,126,122,123,126,122,118,117,118,119,120,123,124,124,123,124,124,126,127,129,132,135,136,137,137,138,138,135,130,129,134,139,140,138,138,139,140,140,138,139,140,140,141,141,140,138,137,135,135,137,137,135,134,133,132,132,133,135,138,138,134,132,137,138,136,132,130,131,135,137,137,137,137,132,125,122,121,122,124,124,122,121,124,130,134,135,136,137,137,137,138,139,138,136,136,133,129,128,130,131,130,131,134,137,137,136,136,137,139,141,142,142,140,137,134,133,132,130,128,127,129,130,130,130,132,134,134,133,133,135,136,136,135,134,133,133,131,131,133,134,134,135,138,141,139,135,134,132,130,130,130,129,124,121,121,121,119,117,116,115,116,120,120,119,119,121,122,121,119,118,119,119,119,123,126,124,120,119,119,120,118,116,114,112,110,110,111,113,116,117,116,116,115,115,117,119,120,121,122,122,123,123,123,121,120,120,122,122,121,122,122,123,123,124,125,126,128,129,129,128,128,127,126,127,128,129,128,126,125,125,127,127,125,127,130,129,127,127,126,124,120,119,120,120,121,122,122,121,120,121,123,126,128,128,127,125,124,126,127,128,129,130,130,130,130,131,132,133,135,137,137,135,136,139,140,137,134,134,133,132,132,135,137,139,139,138,136,136,139,141,140,138,139,142,146,148,149,147,147,144,141,144,147,145,142,140,143,147,147,144,142,140,142,146,146,145,146,147,148,146,143,141,142,145,146,145,143,137,137,143,146,144,142,142,144,146,146,147,146,145,145,147,146,143,140,140,141,143,146,148,149,151,152,154,158,162,159,156,158,157,153,152,155,157,156,152,150,148,146,146,146,147,147,147,150,153,152,148,144,145,148,150,150,150,149,149,148,146,144,144,148,152,152,148,145,145,147,149,151,154,156,156,154,156,158,159,158,157,158,159,158,157,156,158,161,160,159,156,152,150,152,155,158,157,153,149,150,152,153,155,157,159,161,165,165,164,166,167,167,165,164,164,166,167,166,null],[133,135,134,133,134,137,140,140,140,140,139,138,139,141,141,140,140,141,142,141,138,134,131,133,138,142,141,139,135,133,134,137,140,140,139,135,134,135,137,137,139,140,139,138,139,140,141,138,138,137,132,128,128,126,127,133,138,135,126,119,118,120,123,124,126,129,130,127,124,123,125,124,120,118,116,116,119,123,126,126,126,125,125,126,126,127,129,132,133,132,132,133,132,130,127,128,131,136,137,136,135,137,139,138,138,139,139,138,139,140,140,138,137,136,136,136,134,133,133,133,132,132,134,137,140,139,134,132,136,138,136,136,134,131,133,135,137,138,138,135,130,124,121,121,123,123,122,122,123,128,133,136,137,138,137,137,137,138,138,138,138,135,130,128,130,131,132,132,132,132,131,131,133,135,138,141,140,138,137,135,134,133,132,129,127,128,131,132,131,131,132,133,133,133,133,135,136,136,134,135,135,134,131,131,133,134,135,135,138,139,138,136,134,132,128,125,124,123,121,121,122,121,119,118,118,118,119,121,121,121,123,124,124,121,119,119,121,122,121,122,124,122,119,119,120,121,119,116,114,112,112,113,112,111,114,116,116,115,115,114,115,116,120,122,122,122,121,121,122,121,121,121,122,122,121,121,122,123,124,124,125,126,128,129,129,129,129,129,127,127,129,129,129,126,124,124,126,127,125,125,127,127,126,125,125,124,121,118,118,118,119,121,122,121,121,121,123,126,128,130,128,126,126,127,127,127,128,130,130,130,130,132,134,135,136,138,138,136,136,139,140,138,135,135,134,132,131,131,134,138,142,142,140,138,138,139,139,140,142,142,142,144,146,146,144,140,140,143,145,142,140,141,142,143,141,139,139,140,143,147,147,146,147,149,148,146,143,141,140,142,145,145,143,139,139,144,145,141,140,142,144,145,144,144,142,141,143,144,141,140,141,141,142,144,149,153,154,153,151,153,155,157,157,156,155,154,152,154,156,156,153,148,145,144,144,144,145,145,145,145,148,152,151,150,148,146,146,145,147,149,151,152,150,145,142,144,150,154,151,146,144,147,149,149,151,155,155,154,154,156,157,158,157,155,156,158,158,158,158,159,161,162,160,156,152,151,154,158,159,158,154,150,150,153,154,156,157,159,162,163,161,162,165,167,168,167,166,167,168,169,168,null],[130,131,130,129,132,138,142,141,139,138,138,137,138,140,141,141,140,140,141,140,137,134,131,132,137,142,142,139,134,132,135,139,140,138,136,135,136,136,137,137,139,141,139,138,140,140,139,138,138,138,133,129,128,128,132,137,137,131,121,116,120,124,126,126,128,130,130,126,123,123,126,128,128,124,120,117,118,121,124,126,127,127,127,127,126,126,126,127,128,127,127,128,129,130,131,131,133,134,134,133,133,134,135,136,137,137,137,137,138,140,140,139,138,137,136,134,134,135,136,135,133,133,135,139,141,139,133,131,136,137,136,138,137,131,130,133,136,138,139,138,135,130,125,121,121,123,123,122,122,126,131,136,138,138,138,137,136,137,138,139,137,132,128,129,132,133,134,135,133,131,131,130,130,132,136,140,140,138,136,135,135,133,131,129,127,127,128,131,133,133,134,135,135,134,134,134,136,136,135,135,136,134,132,132,133,135,136,137,138,139,137,135,134,132,128,124,123,125,126,125,122,120,119,119,120,121,122,122,122,122,123,123,121,119,118,118,122,123,122,123,124,123,119,118,119,120,118,115,114,113,114,113,111,109,111,114,115,116,115,114,114,116,119,121,121,120,118,119,119,119,120,121,121,121,121,120,120,122,123,125,126,125,126,127,129,130,131,130,128,128,129,130,129,127,125,124,126,126,124,124,126,126,125,125,125,125,123,121,119,118,119,121,123,124,123,123,124,127,129,129,128,127,129,130,128,126,126,129,132,133,133,134,137,139,140,139,138,137,137,139,140,139,137,136,136,134,131,129,132,137,141,143,141,139,139,140,139,141,144,144,141,139,143,145,142,140,141,142,142,138,138,139,140,139,138,139,139,140,142,144,144,145,148,149,147,144,142,140,139,140,144,144,142,139,138,140,140,141,143,145,144,143,141,140,139,139,139,140,137,138,142,145,147,148,149,150,152,150,148,150,153,154,156,157,153,150,150,154,156,155,151,146,144,143,142,144,146,145,146,147,149,149,147,148,151,147,144,146,149,150,150,150,150,146,143,146,151,153,148,144,145,148,150,151,153,156,154,152,153,154,155,158,156,151,152,154,155,157,158,158,159,160,159,157,153,154,158,158,157,157,154,150,151,154,157,157,156,156,157,159,160,162,165,165,164,165,166,166,166,167,167,null],[127,129,130,130,130,135,139,139,136,135,137,137,137,139,140,140,139,138,138,138,138,135,132,131,137,142,142,138,133,132,137,141,140,136,134,136,139,138,137,138,140,141,139,137,137,138,139,139,137,136,134,132,130,132,137,138,133,124,117,116,121,127,129,129,130,131,127,123,123,125,129,131,132,130,125,120,117,117,121,124,126,127,128,129,128,127,126,125,126,127,127,128,131,134,136,137,136,134,133,133,133,132,133,135,137,137,136,137,139,141,141,140,140,138,136,133,134,137,138,136,133,134,137,139,140,138,132,131,136,138,138,138,135,130,130,133,135,136,138,138,137,134,128,121,119,121,123,123,121,121,127,134,138,138,137,136,136,136,138,140,137,132,128,131,136,136,136,136,135,134,134,132,129,130,134,139,142,141,138,135,135,133,132,132,129,127,126,129,133,135,135,138,139,138,135,135,136,136,135,135,134,134,134,134,134,134,136,138,140,140,138,136,135,133,129,127,127,131,131,126,121,120,122,123,122,123,124,123,122,120,120,119,118,119,118,118,121,123,122,123,124,123,119,117,117,117,116,114,113,114,114,114,111,108,108,111,115,116,115,114,115,116,117,117,118,118,117,117,118,118,119,119,120,120,120,120,120,121,123,125,125,125,124,126,128,129,130,129,128,128,129,130,131,130,127,125,124,123,122,123,126,126,125,124,124,124,123,122,120,119,119,121,123,126,126,125,125,128,130,130,129,130,132,132,129,126,125,129,134,137,136,135,137,140,140,139,137,137,138,139,141,139,137,137,138,136,133,131,132,135,138,139,137,136,137,139,137,138,143,143,139,138,141,144,142,140,141,139,137,138,139,139,138,137,137,140,142,140,141,143,142,143,146,147,146,143,141,140,138,137,143,145,141,137,135,138,141,144,145,145,144,142,140,137,137,139,138,137,138,141,145,149,149,146,146,148,148,146,146,148,151,152,153,153,148,147,150,155,155,153,149,146,146,145,142,143,147,147,147,149,150,149,145,146,148,146,145,149,151,150,148,149,150,146,143,146,150,151,146,143,146,148,150,152,154,155,154,150,150,151,155,158,154,147,148,152,153,154,156,157,157,157,155,155,154,157,159,158,155,154,152,150,150,154,159,159,156,153,155,159,163,165,165,162,160,164,165,162,164,166,167,null],[130,132,134,134,131,130,133,135,133,133,137,138,138,139,139,138,137,136,136,138,139,137,134,133,137,141,140,136,133,134,138,141,141,138,135,136,139,138,137,139,141,140,139,135,134,137,140,139,137,135,135,133,132,134,138,137,129,120,116,118,122,127,130,131,131,130,125,121,123,128,133,133,132,132,128,122,117,116,118,122,125,126,126,128,129,129,128,128,129,131,131,132,135,138,139,140,139,137,135,136,135,133,134,136,138,138,138,139,141,142,141,141,140,137,134,133,135,137,138,136,134,135,137,138,138,136,132,131,136,139,138,137,134,131,131,133,134,136,137,136,136,134,128,121,118,120,122,123,121,119,123,132,138,138,135,134,136,137,139,141,139,134,131,133,137,138,137,137,136,136,137,135,132,132,135,138,143,143,139,136,135,135,135,134,132,129,127,129,133,135,136,138,141,140,137,136,137,137,136,134,133,133,134,135,134,133,133,137,140,141,140,138,136,133,131,130,131,132,130,125,122,123,127,126,124,125,126,124,121,118,117,116,118,120,121,121,121,122,123,124,124,121,118,116,115,115,114,114,114,115,115,115,113,109,107,110,114,115,114,115,115,115,115,115,115,116,117,117,119,120,120,119,120,120,121,122,122,122,124,124,124,124,124,126,126,127,127,126,126,126,129,131,132,131,128,124,123,122,121,123,126,125,124,123,123,122,122,121,121,121,121,122,123,125,127,127,127,129,130,131,132,133,134,133,130,128,129,130,134,136,136,134,134,135,137,137,136,137,138,140,140,138,135,135,136,137,135,134,133,134,135,134,133,132,134,136,136,137,138,138,138,139,142,144,142,139,137,135,135,139,144,143,139,136,137,141,143,141,142,145,142,140,144,145,144,143,144,144,138,134,140,145,143,136,134,140,145,146,143,141,142,142,139,136,138,142,141,140,143,147,148,149,146,142,144,147,146,144,144,145,147,149,148,146,144,148,154,155,152,151,148,146,148,148,143,142,146,147,148,149,149,149,146,144,143,143,147,151,149,147,148,151,151,146,142,143,146,149,145,144,147,149,150,150,152,154,154,150,146,150,158,158,151,146,147,152,151,152,153,157,157,154,151,152,154,157,158,158,155,151,150,150,149,153,158,160,157,155,158,163,166,165,162,160,162,166,165,160,162,166,168,null],[136,135,134,135,134,130,130,132,132,134,138,140,139,139,138,137,138,137,135,137,138,137,134,133,138,141,140,137,134,134,138,141,142,139,136,135,137,138,139,141,141,140,139,137,135,138,140,140,138,137,137,135,132,135,138,135,126,119,117,121,125,128,129,130,131,130,125,120,124,131,135,136,134,134,130,123,118,117,118,120,122,123,124,127,128,130,130,130,131,133,134,135,137,139,139,139,139,138,137,137,137,137,136,136,137,138,139,140,140,140,139,139,138,136,134,134,135,137,137,136,135,136,137,138,137,134,131,131,135,138,138,137,136,135,132,132,134,137,138,136,135,134,129,122,118,119,121,123,122,120,123,131,137,136,133,132,135,137,139,140,138,135,135,136,137,138,138,138,138,137,138,137,135,135,136,136,140,143,139,136,136,137,137,135,132,130,130,131,132,134,135,138,141,140,137,136,138,139,138,135,133,132,133,135,136,134,133,135,138,139,139,138,136,135,134,133,130,128,127,126,125,127,129,127,125,123,123,122,120,118,116,116,117,120,122,124,124,124,125,127,126,121,117,117,117,116,116,117,117,117,116,115,113,110,109,112,116,117,115,114,114,115,115,115,115,116,117,118,120,121,121,120,121,121,121,123,124,124,125,125,124,124,125,126,126,125,124,123,123,125,128,130,131,131,128,124,122,122,121,122,124,123,122,122,122,121,120,121,122,125,126,126,127,128,129,129,129,128,130,132,133,133,133,134,132,132,132,131,131,132,132,132,131,132,135,136,137,136,136,137,138,137,135,133,134,136,136,135,135,133,132,133,134,132,131,133,136,137,136,136,139,142,144,142,141,138,134,133,135,140,145,145,142,138,138,140,142,141,141,142,140,138,143,144,142,143,145,146,141,136,136,140,142,138,134,139,143,141,137,136,140,140,137,135,139,145,146,145,148,150,149,144,141,142,145,148,147,144,143,142,143,145,143,141,146,153,156,152,149,150,150,149,150,149,144,141,142,143,147,150,149,146,145,142,140,142,147,150,149,147,149,151,149,144,140,142,144,144,144,146,150,153,150,148,149,154,155,151,144,150,159,156,149,148,150,153,152,151,152,156,155,151,149,151,154,157,159,158,156,154,153,153,151,151,154,155,155,155,159,163,164,160,158,160,164,168,166,160,160,164,167,null],[139,137,134,135,136,134,132,131,132,136,141,142,141,138,137,138,140,139,136,137,138,136,134,135,139,142,140,136,133,134,137,140,142,140,136,133,136,138,141,142,142,141,140,139,138,139,140,139,140,139,138,135,133,136,137,131,124,119,120,124,127,128,128,130,131,130,125,123,127,132,135,137,136,135,130,124,119,119,120,121,120,120,122,125,126,128,130,130,130,131,133,135,136,137,138,138,138,139,138,137,139,141,139,137,137,139,141,140,139,138,137,137,137,137,135,135,134,135,136,137,137,137,137,137,136,133,131,132,134,137,138,140,140,137,131,131,135,139,139,137,136,135,130,124,121,120,121,123,123,122,125,130,134,134,131,131,134,136,138,137,135,135,138,139,137,136,138,140,139,137,139,139,139,139,137,135,138,140,138,136,136,136,135,133,131,130,132,134,134,133,135,138,140,139,136,135,138,140,139,136,133,130,130,132,135,136,135,135,136,137,137,137,134,134,135,133,128,123,123,127,129,129,129,127,123,120,118,119,120,119,118,117,117,120,123,125,124,125,128,130,128,122,118,119,121,121,121,121,120,119,116,113,110,109,111,115,118,118,117,115,115,115,117,117,116,115,116,117,119,121,122,122,123,123,122,123,124,124,125,125,124,124,125,126,126,124,122,120,121,124,127,128,129,128,126,124,122,122,122,122,122,122,122,122,122,120,120,121,124,126,128,129,131,132,130,129,129,129,130,132,131,130,132,134,135,135,134,132,131,131,131,132,132,133,134,136,137,136,134,133,135,136,135,132,131,133,135,136,135,133,132,136,138,134,131,133,135,137,137,139,141,144,142,138,137,137,135,136,138,141,143,144,142,139,136,137,140,140,139,138,137,138,143,143,141,143,146,146,144,140,135,135,140,138,135,136,137,134,132,133,137,138,136,135,140,147,150,150,150,149,146,140,139,144,147,147,145,142,141,140,141,142,140,141,149,154,151,148,148,151,152,151,149,146,144,142,140,140,144,149,147,142,141,140,141,144,148,149,148,147,148,149,147,142,139,141,143,142,143,147,151,152,149,147,149,154,156,151,144,149,158,155,149,149,152,153,151,150,154,155,152,149,148,152,155,157,159,157,156,157,157,155,152,150,150,150,152,154,159,161,160,156,158,161,164,166,164,161,160,163,165,null],[138,137,136,135,136,136,135,133,132,136,142,144,141,137,136,138,139,139,139,139,139,137,135,137,140,141,138,134,132,136,139,140,141,139,136,135,137,139,141,141,142,142,141,140,139,138,138,139,140,139,137,135,135,136,134,127,122,120,124,127,128,127,129,131,131,127,124,126,131,133,133,135,137,137,131,124,120,121,122,123,120,119,119,122,125,126,126,126,127,128,130,132,133,136,136,137,138,138,137,137,139,140,140,139,139,141,142,141,139,139,139,139,138,137,136,135,134,134,135,137,138,138,138,137,134,131,132,134,136,138,139,142,141,135,130,131,137,140,139,139,139,137,133,128,126,124,122,122,123,123,125,129,130,130,130,131,133,134,135,135,134,135,140,141,138,138,140,140,138,138,140,142,142,140,138,136,137,138,136,134,134,133,132,132,130,131,134,136,136,135,135,137,138,138,136,135,138,139,138,136,133,129,127,129,132,135,137,137,137,137,138,136,133,131,133,132,128,122,123,127,130,130,128,125,122,118,116,117,118,119,118,117,118,119,121,122,122,124,128,129,127,125,122,122,124,127,126,124,120,118,116,112,109,108,112,115,117,117,117,117,117,117,117,118,117,115,114,116,118,121,122,123,124,124,124,123,123,123,123,123,124,125,126,126,124,122,120,120,121,124,125,126,127,125,125,124,123,122,121,122,123,124,124,122,121,121,122,124,124,125,125,127,131,133,132,130,129,130,131,130,128,129,132,135,135,135,135,134,134,135,135,135,136,135,136,137,137,136,132,131,133,135,135,131,129,130,134,136,135,134,135,139,140,136,132,133,135,138,139,140,141,141,138,135,133,134,137,141,143,141,142,142,140,137,133,134,137,140,139,137,136,139,142,141,140,143,144,141,142,142,136,134,136,136,135,136,136,135,134,134,136,138,139,140,143,147,150,152,151,146,141,138,141,145,147,144,140,138,140,141,141,141,140,142,146,147,145,145,149,152,153,151,147,142,140,143,144,141,142,148,145,139,138,141,146,148,148,148,147,145,144,147,147,142,138,140,142,143,144,146,149,148,146,148,153,155,154,150,144,147,154,153,149,147,149,151,148,150,155,154,150,148,150,154,155,156,158,157,157,159,159,155,152,150,150,150,151,154,158,159,157,156,161,163,162,161,160,161,163,164,163,null],[137,138,138,135,135,136,137,136,134,136,141,143,141,138,137,138,138,138,140,140,139,137,136,137,139,139,137,133,133,137,141,141,141,139,136,135,138,140,141,140,140,141,141,141,139,137,136,138,139,138,137,136,136,133,127,123,121,122,126,129,127,127,131,133,130,124,123,128,135,136,134,134,137,137,131,122,120,122,124,124,122,119,118,120,123,126,126,126,127,128,129,129,130,133,134,135,135,135,134,135,137,139,139,139,140,141,141,141,140,140,140,140,139,139,137,136,135,135,136,136,137,138,139,138,135,131,131,135,138,140,141,141,140,134,131,133,138,141,140,140,140,138,135,133,132,129,124,123,122,123,124,126,128,130,132,132,132,132,133,134,135,137,140,140,139,140,141,140,139,139,142,143,141,139,138,138,137,136,134,132,131,131,132,133,132,132,135,138,139,139,138,138,139,139,138,138,140,140,138,134,131,130,129,128,131,135,138,139,139,138,137,135,133,133,133,131,127,125,127,130,131,129,127,126,123,118,116,118,118,118,117,117,117,119,121,121,121,123,127,128,126,127,127,125,127,129,128,124,121,119,117,114,110,109,110,112,114,116,117,118,117,117,118,118,118,116,115,116,118,119,120,121,121,121,122,122,122,122,122,122,123,124,125,125,122,119,119,122,123,124,125,125,125,124,124,123,121,120,121,122,124,126,127,125,123,123,125,125,124,124,125,127,130,132,132,130,129,130,131,128,127,129,133,134,134,135,136,136,136,137,137,138,138,138,138,138,137,134,131,130,132,133,132,130,129,130,134,136,135,134,136,139,140,137,132,132,133,136,138,139,138,136,134,134,134,136,138,141,141,139,139,140,137,134,133,135,139,140,138,136,135,136,137,138,141,143,141,137,138,140,136,133,134,135,137,139,141,141,141,139,139,141,144,143,143,144,147,150,150,144,139,139,143,143,142,140,139,139,141,143,145,143,142,143,142,143,146,149,152,152,153,152,147,142,141,145,146,141,139,143,140,137,140,146,150,149,146,144,142,141,142,145,145,141,138,139,142,145,145,147,149,149,150,154,157,156,154,149,144,143,147,149,147,145,148,152,148,149,152,150,148,148,152,154,154,154,156,157,159,161,158,153,151,152,155,155,153,154,155,156,156,157,161,161,157,156,158,163,164,163,160,null],[136,138,137,134,134,137,139,138,136,136,138,140,140,139,138,138,138,138,139,139,138,136,135,137,138,138,136,134,135,138,141,141,142,141,137,135,138,140,140,139,139,139,141,141,138,135,135,136,138,138,138,138,137,130,122,122,123,125,129,130,128,129,132,132,127,123,123,129,136,138,137,135,136,137,131,123,121,123,125,125,124,122,118,118,122,126,127,127,128,129,129,128,127,128,131,131,131,131,130,132,135,138,138,139,140,140,140,140,139,139,139,140,141,140,138,137,138,138,137,136,135,136,138,139,136,132,131,134,139,141,141,139,137,135,133,134,137,140,142,141,140,138,136,135,135,132,127,124,122,122,123,124,127,130,133,133,131,130,132,134,135,136,138,138,139,141,141,140,140,142,142,141,139,138,138,138,137,135,133,132,131,133,136,136,134,134,136,140,141,142,142,140,140,142,142,142,142,141,138,133,132,133,132,130,131,135,139,140,141,139,136,134,135,135,133,129,126,129,132,132,131,128,127,126,124,121,119,119,119,118,118,117,117,119,121,122,122,124,128,127,125,126,127,127,128,128,126,123,121,121,119,115,112,109,108,108,111,115,117,117,117,116,116,118,119,118,116,116,117,117,117,116,115,116,119,121,122,122,121,121,122,123,123,123,121,118,119,121,122,123,124,125,125,124,122,121,121,122,123,123,125,127,129,128,126,125,125,124,123,124,127,128,129,129,130,128,127,128,129,127,129,131,133,134,135,136,137,136,135,134,135,137,139,139,138,138,136,133,130,130,132,131,130,130,132,132,134,134,134,134,136,140,141,137,132,130,131,134,134,136,135,132,132,135,139,140,138,136,135,134,136,139,136,133,135,140,142,139,135,133,134,134,134,137,140,141,138,134,135,137,135,133,134,136,139,142,145,147,146,145,144,145,144,143,141,142,144,148,147,142,138,140,142,138,137,139,142,143,143,145,147,145,145,145,141,143,152,154,152,151,152,154,149,146,145,146,145,139,138,140,138,138,143,149,150,146,142,141,140,139,141,143,144,142,141,142,144,146,147,149,151,154,157,159,160,158,155,149,144,141,142,145,146,146,151,154,151,148,146,146,147,149,151,153,153,153,155,158,161,162,157,151,150,155,160,160,155,152,151,152,155,157,159,156,154,156,161,165,164,160,158,null],[132,133,133,134,135,138,140,139,137,135,136,138,139,140,140,140,139,139,139,138,137,134,135,137,137,136,135,135,137,139,140,140,141,141,138,136,137,138,139,139,140,141,140,139,138,135,135,138,140,140,138,137,136,129,123,124,126,127,129,131,132,132,132,129,125,124,126,130,134,136,137,136,136,138,134,127,122,122,125,127,126,125,121,119,121,124,126,127,128,128,127,125,125,125,126,127,128,129,128,129,133,136,137,138,140,139,138,137,138,137,137,137,139,138,138,138,139,139,138,136,134,135,136,136,134,131,131,134,138,140,141,139,137,135,134,134,134,137,140,141,139,137,136,136,135,133,129,125,123,123,123,124,124,127,131,131,128,127,129,132,133,133,132,135,138,139,139,140,141,142,142,141,139,138,138,137,137,135,133,132,134,137,139,137,133,133,136,140,140,141,141,139,140,142,143,143,142,139,135,132,133,136,134,131,130,132,135,139,140,139,135,133,133,134,131,127,128,132,134,132,129,128,126,123,121,120,121,120,120,120,121,121,120,120,121,123,125,127,128,125,123,123,125,125,126,124,122,121,122,122,119,114,110,108,107,107,109,112,115,116,115,114,114,115,117,117,117,117,117,117,115,114,114,115,118,121,122,121,121,121,122,122,122,123,123,120,116,114,116,119,122,123,123,121,120,122,123,125,127,127,126,128,128,126,126,125,125,124,123,123,126,127,127,127,127,126,125,125,126,128,131,133,134,136,137,136,135,135,134,132,133,136,138,137,135,135,135,134,132,130,130,129,129,132,134,134,134,134,134,135,138,142,142,138,133,130,131,133,133,134,132,131,132,137,143,143,137,133,131,131,134,137,136,135,136,141,142,137,133,131,133,135,137,137,136,136,135,133,132,132,133,134,135,137,140,142,143,144,145,147,147,144,141,139,139,142,145,146,143,138,137,138,138,135,136,140,145,147,147,146,146,146,147,146,141,143,152,153,150,149,151,151,149,146,148,149,146,142,141,142,140,138,143,145,144,142,140,140,140,141,142,143,143,143,145,147,148,148,149,150,152,155,158,159,159,158,154,149,144,140,140,144,147,149,152,154,154,149,144,146,150,150,150,150,151,153,157,159,160,160,156,151,152,157,161,160,156,152,150,153,155,155,154,153,156,161,164,163,161,160,161,null],[127,128,131,133,135,137,138,138,137,136,137,137,138,139,141,142,141,139,138,136,135,135,136,137,138,137,135,136,138,140,140,140,140,141,140,137,137,138,139,140,142,143,141,139,139,137,136,137,140,140,137,136,136,130,124,125,127,127,129,133,136,134,129,126,124,126,128,131,133,135,136,136,137,139,137,130,124,123,125,127,127,126,124,121,119,121,123,125,126,126,125,123,123,124,124,125,126,128,127,127,130,133,135,136,138,137,136,136,138,138,137,138,139,138,138,138,138,138,137,136,135,134,134,133,132,132,133,135,136,137,139,139,137,134,135,135,133,134,137,138,138,137,136,135,134,133,130,128,126,126,126,125,123,124,127,127,126,128,130,131,132,132,131,132,134,135,136,138,140,142,142,142,141,140,139,138,136,134,131,132,135,139,139,136,133,132,135,137,137,137,137,137,138,141,143,143,142,138,134,133,136,137,135,132,130,130,131,135,138,137,134,131,131,131,131,129,130,132,131,129,127,126,124,120,118,119,120,120,121,123,125,123,121,121,123,126,129,130,128,125,123,122,122,122,122,121,120,120,122,123,119,113,109,108,108,108,108,109,112,114,115,114,113,114,115,117,117,118,117,116,115,115,116,117,118,120,121,120,120,122,123,122,122,124,124,123,117,113,113,117,120,122,121,119,119,122,124,126,127,127,127,128,126,124,123,125,125,124,123,122,123,125,124,124,126,126,125,125,126,129,130,132,135,137,136,133,132,134,134,132,132,134,135,134,131,132,134,136,135,131,128,128,130,132,133,133,133,134,135,136,138,140,140,137,134,133,134,134,134,135,134,133,135,138,141,141,137,134,132,130,133,136,135,134,137,139,139,135,131,132,135,140,141,138,134,132,133,133,133,133,134,136,138,141,141,140,139,140,144,146,145,140,136,138,141,144,145,144,140,136,136,138,139,138,140,144,146,149,150,146,144,147,149,148,144,144,148,150,150,150,150,149,147,147,150,150,148,145,146,146,143,139,140,140,138,139,140,141,142,143,145,145,145,146,147,149,151,152,151,149,148,152,155,157,157,156,154,149,145,142,142,146,150,152,152,152,154,150,144,147,151,152,151,151,152,154,157,159,159,158,156,155,155,158,160,159,155,152,153,157,158,156,153,154,158,163,163,160,158,161,163,null],[126,127,130,133,134,133,134,135,137,138,138,138,139,139,141,142,140,138,137,136,135,136,138,138,140,139,136,136,139,141,141,141,140,140,139,139,139,140,140,140,141,142,140,140,141,139,136,135,136,137,136,136,134,128,123,123,126,128,131,135,137,133,126,124,125,128,130,132,135,136,135,135,138,139,136,130,126,125,126,126,126,127,127,124,120,117,119,122,123,125,124,123,124,125,125,125,127,127,127,125,126,129,130,132,134,135,135,137,139,140,141,141,140,140,139,137,136,135,135,135,135,135,134,132,132,135,136,136,135,136,138,138,136,134,137,138,135,133,135,136,138,138,137,135,134,132,131,129,129,129,129,126,124,123,124,124,126,130,132,131,133,135,134,132,130,132,134,136,139,141,142,142,143,143,143,140,137,132,129,129,133,138,139,137,134,133,134,135,134,134,135,135,136,139,141,143,142,139,136,136,138,138,136,133,132,130,129,131,133,134,133,131,130,131,133,132,130,128,127,127,125,124,122,120,118,119,119,120,122,124,125,123,120,121,125,129,131,130,129,127,124,122,121,121,120,120,121,121,121,122,120,115,111,110,111,111,110,108,109,112,114,115,114,115,116,117,118,118,118,116,115,115,117,118,118,119,119,118,120,122,123,123,123,123,123,122,120,118,117,118,119,120,120,120,120,121,122,122,124,126,127,128,125,122,122,125,126,125,123,122,123,123,123,123,125,126,126,128,128,128,128,130,134,136,133,130,131,135,135,134,132,131,130,130,131,132,135,136,134,130,128,128,130,130,129,130,131,133,136,137,137,137,135,134,135,136,138,137,137,138,138,138,138,137,138,138,138,138,136,131,131,134,133,133,135,137,137,134,132,134,138,142,141,139,135,132,131,134,137,139,137,138,141,144,142,137,136,139,144,145,141,136,135,140,144,143,142,142,139,136,136,140,143,144,145,146,147,148,150,146,145,150,153,152,149,147,147,149,152,153,151,147,146,148,149,149,146,145,145,145,143,140,139,139,140,141,141,142,143,145,147,147,147,147,147,149,152,155,151,147,147,150,153,155,156,155,154,152,148,144,142,146,150,152,151,151,152,148,143,145,149,153,154,153,153,154,157,158,159,158,159,159,158,158,161,159,155,153,156,160,162,158,156,156,158,159,158,157,158,161,163,null],[127,128,132,134,134,133,131,132,137,140,140,140,141,141,142,141,137,136,138,137,136,137,138,140,142,141,137,136,139,142,143,142,140,139,138,140,142,142,140,140,139,138,138,138,139,140,139,136,133,133,135,135,128,123,122,124,127,130,133,136,136,131,125,125,128,132,132,132,136,137,136,137,137,135,130,126,126,127,126,125,126,128,129,127,122,119,120,121,121,122,123,123,124,125,126,127,127,126,126,126,127,127,127,128,130,132,134,135,137,140,142,142,141,140,139,137,135,135,136,136,135,135,135,133,133,137,139,138,137,137,138,138,136,135,138,139,136,134,135,137,139,140,138,135,134,134,132,130,130,131,130,128,125,123,122,124,128,131,132,132,134,136,134,131,130,132,134,136,138,139,141,141,142,142,143,143,140,134,129,129,132,135,138,140,139,137,135,135,135,135,136,136,137,138,140,141,140,138,137,138,139,139,137,135,134,133,131,129,130,132,133,131,130,131,131,129,126,124,124,124,123,121,120,119,120,120,120,121,122,123,125,123,120,121,123,126,129,129,129,127,126,125,124,122,121,122,123,122,121,120,119,115,112,112,113,114,113,111,110,110,111,112,114,116,117,117,117,117,118,117,115,115,116,117,116,115,115,116,117,120,122,123,123,123,122,122,121,120,120,119,119,119,119,119,120,120,121,121,122,125,127,126,123,121,121,124,126,125,123,122,123,124,124,124,124,124,126,128,128,126,127,130,134,135,133,130,130,133,135,134,132,129,127,128,132,133,134,134,132,129,127,127,128,128,128,128,128,130,133,136,136,134,131,132,134,137,140,140,137,138,140,141,139,137,135,136,137,137,135,131,130,132,132,133,135,135,134,135,136,138,139,139,140,139,136,133,132,135,140,143,142,141,143,143,140,135,134,139,143,143,138,134,136,142,144,140,138,138,137,137,138,141,144,144,144,146,147,146,144,145,149,154,157,155,154,151,149,150,152,151,148,146,143,144,145,145,142,141,140,141,139,139,140,143,145,145,143,144,145,146,147,148,149,146,146,150,153,152,148,147,150,152,151,152,154,155,155,153,149,143,140,144,147,148,149,150,150,147,143,145,150,154,153,151,152,154,157,159,159,157,158,159,158,158,160,159,156,155,157,161,161,159,157,157,158,156,154,155,157,160,162,null],[130,132,135,134,134,136,134,132,136,140,140,142,143,143,142,140,136,136,139,139,138,138,139,141,143,141,136,135,138,141,142,142,141,139,139,141,143,140,139,139,139,136,134,134,136,138,139,138,134,131,133,131,122,119,122,127,130,132,136,137,133,128,125,126,131,135,133,131,134,136,137,137,136,130,125,122,123,126,126,126,127,128,129,128,126,123,124,123,122,122,121,122,122,123,125,126,126,126,127,129,129,128,128,127,127,131,133,133,134,138,141,140,138,137,138,137,136,137,138,137,135,135,135,134,134,137,140,140,138,137,138,138,136,135,138,138,136,134,137,138,139,140,137,134,134,133,131,129,130,132,131,128,125,123,122,125,128,129,130,133,134,133,132,132,132,133,134,135,136,137,139,140,139,139,141,143,141,137,133,131,131,134,137,142,143,141,137,136,139,140,139,139,139,140,140,140,139,138,138,139,139,139,137,136,135,135,133,130,128,131,131,130,129,129,127,124,122,123,124,123,121,119,119,120,121,121,122,123,122,123,124,124,122,121,120,122,126,128,127,127,127,127,126,124,123,124,125,124,121,119,117,113,112,113,114,116,116,115,112,108,106,109,114,117,116,115,116,116,117,117,115,114,115,116,115,113,112,114,116,118,120,121,122,123,122,121,119,119,119,119,118,119,120,120,120,121,122,122,123,125,125,123,121,120,122,125,126,125,123,123,123,125,127,127,123,123,126,127,126,124,126,131,133,134,133,130,129,131,133,132,130,128,127,130,132,132,132,131,129,126,126,126,128,130,131,130,129,129,132,135,137,133,130,132,133,135,139,139,135,136,138,139,137,134,134,135,133,131,130,130,129,129,132,134,134,132,132,137,140,139,137,137,138,138,135,133,132,134,139,143,142,141,141,139,136,135,135,139,143,142,138,136,138,141,140,136,136,137,136,138,140,140,140,140,140,144,146,144,141,145,152,156,157,156,154,152,149,149,149,148,146,143,140,139,141,142,139,138,137,136,136,137,140,143,146,147,147,147,147,146,145,145,147,143,143,149,151,147,146,149,152,152,150,150,153,155,153,149,147,142,140,143,146,146,149,151,148,144,143,148,152,154,150,147,149,154,158,159,158,155,155,156,156,157,160,160,158,156,157,159,159,158,159,159,159,156,154,154,157,159,161,null],[132,135,137,133,133,138,139,137,134,134,139,142,144,143,141,138,137,139,140,139,138,140,143,142,141,137,136,136,137,138,140,141,142,143,143,143,141,138,136,137,138,136,132,131,133,134,135,138,137,133,130,125,121,121,125,130,133,135,137,136,131,127,125,126,131,137,135,132,133,136,138,138,134,127,122,120,121,123,126,127,128,128,128,129,127,126,127,127,126,124,122,121,120,120,122,124,125,126,127,128,128,127,128,127,127,129,132,133,137,139,138,135,134,134,136,135,135,136,137,136,136,137,137,134,134,137,141,142,138,136,136,137,137,136,138,139,136,136,138,137,136,136,135,133,132,130,127,128,131,133,132,128,125,123,124,126,127,128,130,132,132,130,130,132,135,133,132,132,133,135,138,139,139,138,138,139,139,138,136,134,132,134,138,142,144,142,138,137,140,142,143,143,141,141,141,140,140,139,140,140,139,136,134,135,137,137,134,130,128,129,128,127,125,125,124,123,122,124,124,123,121,119,119,121,121,120,121,123,124,123,124,125,124,123,122,122,125,128,127,127,128,127,125,123,123,124,124,124,122,118,115,113,113,114,116,117,117,115,111,107,105,109,115,118,116,115,115,116,116,115,114,114,115,116,115,113,113,114,116,117,118,119,120,121,121,120,119,118,117,117,118,121,123,123,123,124,124,124,123,123,123,121,120,120,123,125,126,126,125,125,125,125,128,129,125,125,127,127,125,123,126,130,132,133,131,129,128,130,131,129,127,128,130,131,131,131,130,129,126,124,125,126,129,132,134,134,133,134,134,136,137,134,131,131,132,134,136,136,134,134,136,136,134,131,131,131,130,128,127,128,128,128,130,132,130,130,132,137,139,137,135,137,137,136,133,131,131,132,135,136,137,137,138,136,135,137,139,141,144,143,139,136,137,139,138,135,137,140,139,141,142,140,138,139,140,142,142,142,143,149,152,152,153,153,151,148,146,146,147,149,146,141,139,139,141,142,141,142,140,135,135,137,139,140,142,146,148,147,145,143,142,142,143,141,140,144,146,144,147,148,148,147,147,149,153,154,148,143,143,143,144,147,147,147,151,151,145,140,143,149,154,153,147,146,151,157,159,160,156,152,151,154,155,157,160,162,161,159,159,161,161,161,161,161,161,159,157,155,157,159,159,null],[134,135,136,133,133,138,142,140,133,131,137,141,142,141,139,136,139,141,142,139,139,141,144,143,138,135,137,139,138,135,136,139,142,145,146,144,140,137,134,133,135,134,132,130,130,129,131,135,136,133,127,123,122,124,129,132,135,136,137,136,133,129,126,125,129,135,136,134,135,136,138,138,132,124,120,121,121,122,125,127,130,129,129,129,128,127,128,128,128,127,125,122,119,118,120,123,123,124,125,127,126,126,127,127,127,127,130,133,136,137,135,132,132,134,135,135,135,137,136,136,136,137,137,135,135,137,142,142,137,135,135,137,137,136,138,139,137,137,137,135,132,132,133,132,130,128,127,130,133,134,131,127,123,124,125,126,126,127,129,131,130,129,130,133,135,134,132,131,132,134,136,138,138,137,137,136,137,137,137,136,134,134,136,138,140,140,138,138,140,143,143,142,142,141,141,141,142,142,142,140,137,135,133,132,134,135,133,133,132,130,128,126,125,125,126,125,123,123,124,123,122,121,121,121,121,120,121,124,125,125,125,126,127,125,123,123,126,128,127,127,128,127,126,125,124,122,122,121,121,117,115,115,117,118,119,118,116,114,111,108,107,110,115,117,116,115,115,114,113,114,114,115,116,116,115,114,115,115,116,117,118,118,118,118,118,118,118,117,117,117,118,122,125,126,126,125,125,124,123,123,124,122,121,122,124,125,124,124,126,126,126,126,129,130,128,127,129,129,127,126,128,130,132,132,130,128,127,128,128,126,125,127,131,131,130,130,129,128,125,123,123,127,131,132,133,134,136,137,135,135,136,133,130,131,132,134,135,133,132,134,136,135,133,130,129,129,127,126,127,128,129,130,130,129,128,129,131,134,135,134,134,135,135,133,130,129,130,132,134,133,134,135,136,135,136,140,142,141,143,143,138,134,134,136,136,136,139,143,144,145,145,142,140,142,142,141,140,142,146,148,148,147,148,149,147,143,143,145,149,151,147,142,142,144,144,143,143,145,142,137,134,134,136,138,141,145,146,144,141,139,139,140,141,141,141,142,145,148,149,149,147,146,147,148,149,148,141,137,141,146,148,149,148,148,149,148,142,139,143,149,151,149,147,148,154,158,158,156,152,150,151,155,155,156,159,161,162,162,163,163,164,164,163,163,163,163,161,157,157,159,158,null],[133,133,135,135,137,138,140,140,134,132,136,138,139,138,136,135,138,141,141,140,140,142,143,141,136,134,139,141,138,133,132,136,140,142,143,143,141,138,134,131,132,133,133,130,128,127,130,132,132,129,125,123,122,127,132,134,135,137,137,137,136,131,126,125,127,130,134,136,137,137,138,137,131,122,119,122,123,124,125,128,130,130,130,130,129,128,129,129,128,128,127,126,122,120,121,123,122,122,122,123,124,124,125,126,125,125,126,128,131,131,132,133,135,136,136,136,136,137,137,137,136,137,139,138,137,139,141,141,137,135,136,135,136,137,139,139,137,136,137,133,130,130,131,131,130,130,131,134,135,132,128,125,123,123,125,125,126,126,128,129,129,130,131,132,133,135,134,131,131,134,135,136,137,138,138,136,136,137,138,137,135,133,133,134,135,136,136,138,140,141,140,139,140,141,141,142,144,144,141,137,135,135,132,129,130,131,133,135,136,134,130,127,128,130,130,127,123,122,123,125,123,122,123,123,122,122,123,124,126,128,128,128,128,125,123,123,126,127,127,126,127,128,128,127,125,122,119,119,118,116,115,118,121,123,122,119,115,113,112,110,109,110,112,114,115,116,114,111,110,113,115,116,117,116,114,115,115,115,116,117,117,116,116,116,117,118,118,117,117,118,118,120,123,125,125,124,123,123,124,125,125,124,123,123,124,123,122,122,125,127,127,126,128,130,129,129,130,130,130,130,130,131,133,133,130,128,128,128,127,126,126,126,128,128,128,129,129,127,125,123,123,128,131,130,128,131,135,136,133,133,134,132,130,130,132,134,133,132,132,135,137,136,133,131,130,129,127,127,128,129,132,133,131,129,128,130,130,131,131,132,132,132,131,130,129,129,131,135,137,135,134,135,136,135,136,141,142,139,139,139,135,133,133,135,137,137,140,142,144,147,147,144,143,147,146,143,142,143,145,144,143,144,146,147,144,141,141,145,149,150,148,145,147,148,145,142,142,142,142,139,134,132,136,141,145,144,142,141,139,138,139,140,142,144,146,146,147,150,151,150,150,150,148,144,142,141,137,136,142,145,146,147,146,144,144,143,141,140,143,147,147,146,148,153,155,156,154,151,150,151,154,156,155,155,156,158,160,162,163,163,165,166,165,164,165,167,164,159,158,160,160,null],[131,132,134,136,137,137,137,138,136,135,135,136,137,136,134,134,135,137,138,140,143,143,142,139,135,135,138,140,138,134,133,135,136,136,138,140,141,139,135,134,132,131,131,130,129,130,131,129,127,125,125,124,124,128,134,135,136,138,137,136,135,131,128,126,127,129,132,137,139,138,138,137,132,125,122,122,123,124,127,129,132,133,132,131,132,132,132,131,129,128,128,129,128,125,123,123,123,123,122,121,121,122,123,123,122,122,123,125,126,127,129,134,137,137,135,135,135,135,138,139,138,139,141,142,141,141,141,140,138,137,137,136,137,139,140,139,137,136,135,132,129,129,129,128,130,133,135,134,132,129,128,127,126,124,123,124,125,127,128,128,128,128,129,130,132,135,133,130,131,135,135,135,136,137,137,137,137,139,141,139,135,132,132,133,133,133,135,138,139,138,137,138,140,141,142,142,143,142,138,134,133,134,131,128,130,133,134,136,137,134,130,128,130,132,131,128,124,122,124,125,123,123,125,125,124,125,125,125,126,129,129,128,125,123,123,124,127,127,126,124,125,127,128,126,123,120,119,118,117,116,116,118,122,124,124,121,118,115,114,112,109,106,108,111,112,113,112,110,109,111,114,117,119,117,115,115,116,117,117,116,115,115,115,116,118,118,118,117,118,118,118,118,119,120,122,124,124,124,125,125,126,126,125,125,124,121,120,122,125,128,128,126,126,127,129,130,131,131,132,131,131,131,132,132,132,130,130,130,128,126,125,125,125,127,128,127,126,125,124,124,126,130,132,127,125,129,133,133,130,130,134,133,130,129,131,132,132,132,133,134,134,133,132,132,131,131,130,129,129,130,133,135,134,132,131,131,131,129,129,129,128,128,128,129,131,132,133,137,137,136,136,137,135,134,135,137,137,135,135,135,134,134,136,136,139,141,141,139,141,144,146,143,144,148,149,147,146,145,144,143,143,144,146,146,143,140,140,142,145,147,149,150,150,148,142,139,138,138,138,137,135,136,139,143,144,140,138,140,141,142,145,145,144,146,148,148,147,146,148,151,151,148,143,139,139,140,140,140,142,142,142,143,143,142,141,141,143,143,143,145,146,147,151,155,155,154,154,152,151,154,155,154,153,153,153,154,156,157,157,158,160,164,166,168,168,167,163,159,159,163,166,null],[130,132,134,135,135,134,133,134,136,137,135,134,135,135,133,132,133,135,136,141,144,143,140,137,134,136,139,139,137,135,136,136,135,133,135,137,138,138,137,136,133,131,129,130,131,132,130,126,125,124,125,125,126,129,133,134,136,138,135,132,131,130,129,128,129,130,131,134,138,138,137,136,134,130,125,123,122,125,128,131,133,135,133,130,133,135,134,133,131,128,128,131,133,132,126,125,127,127,125,122,121,122,123,121,119,119,122,124,125,125,127,132,136,136,133,133,133,135,138,140,140,141,143,144,143,143,142,141,139,137,137,136,137,139,140,139,137,135,133,129,128,130,129,128,131,135,136,132,128,128,129,129,128,125,123,123,126,128,129,128,128,128,126,128,130,132,130,128,131,135,136,135,135,136,138,139,140,142,142,140,135,132,133,135,136,135,136,138,138,137,137,140,142,143,143,142,140,138,135,132,131,132,129,129,133,136,135,135,134,132,130,131,132,132,130,128,125,124,125,126,123,123,127,127,126,126,126,125,126,129,129,126,122,121,123,126,128,127,125,123,123,123,124,123,122,121,120,119,117,116,116,118,121,124,124,124,122,118,115,112,107,104,106,110,111,111,112,113,112,111,113,117,119,118,115,115,116,117,118,117,115,116,117,117,117,118,119,118,117,118,118,118,116,116,119,123,125,125,125,125,125,125,125,125,123,120,119,122,127,129,128,126,125,126,128,129,130,130,130,129,130,131,131,131,132,133,133,133,130,127,125,124,123,126,127,125,124,125,126,127,129,131,132,126,124,127,130,130,128,130,134,132,128,127,129,131,130,130,131,131,129,129,131,132,133,132,131,129,129,130,132,134,135,135,132,132,132,130,128,128,128,128,128,130,135,135,135,136,136,136,139,140,137,134,133,133,134,135,136,135,134,136,139,139,141,144,143,140,140,141,143,142,143,147,149,148,147,145,144,144,144,145,147,147,144,141,139,138,140,145,148,149,148,145,140,139,138,136,135,135,136,138,141,141,139,136,136,141,145,147,148,147,144,145,147,147,144,143,146,150,149,143,137,136,139,143,146,145,144,141,140,140,142,142,142,143,147,146,143,144,147,149,153,155,154,153,154,153,152,153,154,153,152,152,151,152,154,154,154,156,157,161,165,168,168,165,162,160,160,164,169,null],[130,131,133,133,132,131,130,132,135,136,135,135,134,132,132,133,133,135,138,141,143,141,138,135,134,137,141,141,138,137,138,138,137,135,134,134,134,135,136,135,134,132,130,131,132,131,128,125,125,126,126,127,128,130,131,132,136,137,133,129,129,130,130,130,131,132,132,132,135,136,135,136,136,133,128,124,122,125,129,133,135,136,133,131,132,134,134,133,131,128,127,131,136,136,130,128,130,131,130,126,124,125,125,122,118,119,122,124,125,125,125,128,132,133,132,132,133,136,137,138,140,141,142,141,140,142,144,143,139,136,134,134,136,139,140,138,136,134,132,128,127,131,132,132,133,134,134,130,128,131,132,130,129,126,124,124,126,128,129,129,130,131,128,127,129,129,129,129,131,133,134,134,134,137,141,143,143,142,141,140,138,136,136,138,140,140,137,136,137,139,141,142,144,144,143,141,137,135,134,131,129,129,129,131,135,136,134,134,133,132,133,135,135,132,130,127,124,124,125,125,123,124,127,127,125,125,126,126,126,128,129,126,122,123,125,127,128,127,125,124,123,121,121,121,123,123,123,121,118,116,116,118,121,124,126,126,123,118,114,112,107,106,109,112,112,112,114,115,115,113,113,114,116,117,116,115,115,116,117,118,118,119,119,118,117,117,118,118,116,117,119,119,117,116,118,121,124,125,125,125,125,124,124,124,123,121,119,122,126,128,126,125,126,127,127,127,127,128,128,127,129,130,129,129,131,133,134,133,131,128,124,123,123,124,125,123,124,127,129,130,129,129,128,126,125,126,127,127,127,131,133,130,127,127,130,131,129,128,128,127,126,128,131,134,134,132,131,129,130,132,133,132,135,136,133,133,135,132,129,130,132,132,131,132,136,136,135,134,134,137,142,144,142,137,132,133,136,138,140,138,134,135,139,141,143,144,146,146,144,141,142,143,144,144,146,146,144,143,144,144,144,145,146,146,146,143,137,136,139,143,144,143,142,143,141,141,140,137,135,134,135,138,138,137,136,135,137,141,145,147,147,143,142,144,146,143,142,143,145,146,144,140,136,137,141,145,148,148,147,143,141,142,144,145,144,146,149,148,144,144,147,149,153,154,153,152,152,150,149,150,151,153,153,153,153,154,157,157,157,158,158,159,162,164,164,162,162,164,163,164,167,null],[130,130,131,132,130,129,129,132,133,135,136,136,132,130,132,135,135,136,139,141,141,138,136,135,135,138,141,141,139,139,138,137,139,139,134,130,130,131,134,135,135,133,131,130,131,130,128,126,126,128,128,129,131,132,132,133,135,135,131,128,131,132,130,129,131,133,133,132,135,136,136,137,137,135,130,125,123,126,132,135,135,134,133,132,133,133,132,133,131,127,128,133,137,137,132,130,132,134,133,130,128,127,126,122,119,121,124,125,125,124,124,126,128,129,129,132,135,136,135,136,138,140,139,137,136,138,141,142,139,137,134,135,137,139,140,138,136,135,133,129,128,131,134,135,135,134,132,129,130,133,133,129,126,125,124,125,125,126,128,130,134,134,132,129,128,128,128,129,129,129,129,131,135,138,141,144,144,143,141,142,143,141,139,139,142,143,138,134,136,141,144,144,143,142,141,138,133,132,132,131,129,127,128,130,132,132,133,133,133,133,135,137,135,131,128,125,125,127,127,125,123,125,127,126,123,123,126,128,127,127,129,127,125,126,128,129,128,126,125,126,126,125,124,123,123,123,122,121,118,116,116,117,120,124,126,125,122,119,116,114,113,112,113,114,115,115,116,116,116,115,113,111,113,115,115,115,116,116,116,117,119,120,120,118,117,116,117,117,117,118,120,118,117,117,119,121,122,123,123,124,124,123,123,124,124,123,120,121,123,125,125,124,126,128,128,127,126,126,127,128,128,128,127,128,130,131,132,133,133,130,125,122,123,123,123,122,124,126,128,129,127,126,126,125,125,125,124,125,127,130,130,127,126,127,130,130,128,127,126,126,126,128,131,134,135,134,134,132,132,134,135,135,137,137,134,135,137,134,131,131,133,135,134,134,136,136,134,133,136,141,145,147,145,138,134,138,141,141,141,140,136,136,138,142,144,143,145,147,146,144,144,144,143,142,144,145,141,140,143,143,143,143,143,143,143,140,136,136,140,144,141,138,137,139,140,140,139,137,136,134,134,135,134,135,135,136,137,139,142,144,142,139,140,143,144,140,139,141,142,141,140,137,136,141,146,148,149,150,150,148,147,146,146,147,146,146,149,149,145,144,146,150,153,152,151,148,148,149,150,152,152,154,157,158,156,157,159,159,158,157,157,158,159,160,159,159,161,164,164,164,165,null],[130,129,129,130,130,129,130,133,132,135,138,136,132,130,132,136,137,137,138,140,141,138,135,135,137,139,140,140,141,141,139,137,139,140,135,129,127,130,133,134,134,133,130,129,129,130,129,127,126,128,128,130,133,134,134,135,134,133,129,130,134,133,129,128,130,134,134,134,137,138,139,138,136,134,129,125,124,128,134,135,133,132,132,134,134,133,133,133,130,127,129,135,138,136,133,131,132,134,135,132,130,129,127,123,119,121,124,126,125,124,125,126,126,127,128,131,133,133,132,133,136,137,134,132,132,134,135,136,137,137,136,137,138,139,139,138,136,135,134,131,129,131,135,137,136,134,131,131,132,134,133,128,124,123,123,124,124,124,127,131,134,135,134,131,129,130,130,129,129,128,126,129,135,137,139,142,143,143,143,145,146,144,141,140,141,142,138,134,135,139,142,143,142,141,139,136,131,130,131,131,130,128,128,128,127,129,132,133,133,133,135,135,131,127,125,124,127,131,130,125,123,126,127,125,122,123,127,130,130,130,130,129,127,128,130,130,128,126,125,127,129,129,128,125,122,120,120,119,117,116,116,117,120,125,126,124,121,119,119,120,120,119,117,117,118,118,115,115,116,116,113,111,111,113,113,115,116,117,116,116,118,119,119,118,117,116,117,117,118,119,119,117,116,117,119,121,121,121,122,123,124,123,122,123,125,124,122,120,121,123,123,122,124,127,128,126,124,124,127,129,127,125,125,127,129,129,129,130,132,130,125,122,123,122,122,123,123,124,125,125,124,124,125,126,126,124,124,125,126,128,127,126,125,126,128,128,127,127,128,127,127,128,131,133,135,137,139,137,135,136,138,139,140,139,138,137,137,134,132,130,131,133,135,136,138,137,136,134,139,146,147,146,145,140,139,144,144,140,138,139,139,137,137,140,143,142,142,143,145,146,146,144,142,140,143,144,139,138,143,142,140,141,141,141,139,136,136,138,141,144,142,137,137,137,136,136,135,135,135,134,134,135,135,136,137,137,137,138,138,139,137,137,139,140,139,138,137,137,138,139,139,137,138,142,147,150,149,149,149,151,152,149,148,148,147,146,149,148,143,142,145,150,151,150,147,144,145,149,154,156,156,156,159,161,158,158,159,156,155,154,155,157,159,157,156,158,160,161,164,164,163,null],[128,128,129,130,131,131,132,132,132,134,137,135,131,131,132,134,135,135,137,139,140,138,135,135,138,140,140,140,142,142,140,137,137,138,135,132,129,131,132,132,131,131,129,129,130,129,128,128,127,127,129,132,134,135,135,135,133,131,131,132,135,132,127,126,130,135,136,135,137,139,139,137,134,131,127,125,125,129,132,132,131,132,134,136,136,136,136,133,129,127,130,135,136,134,134,133,134,135,135,132,131,131,130,125,121,121,123,124,123,124,126,127,127,127,128,128,127,128,130,132,133,131,129,128,130,132,132,131,132,134,134,136,136,136,137,138,137,136,135,132,131,133,135,136,134,133,133,134,135,135,132,128,124,122,121,124,127,128,128,129,130,132,134,133,132,134,134,131,131,131,130,130,133,138,141,142,140,140,141,144,145,145,142,140,140,140,138,135,133,135,137,138,140,142,142,137,132,131,133,133,132,131,130,128,126,127,130,132,133,132,131,128,124,122,123,126,129,132,129,124,123,126,127,125,122,123,126,129,132,133,131,128,126,128,130,130,129,127,126,127,128,128,126,124,121,119,119,118,117,118,118,118,120,124,125,123,119,119,122,125,126,124,120,119,121,120,116,114,115,116,114,113,114,115,114,113,113,115,117,118,118,117,117,118,118,117,117,118,119,118,118,117,116,117,119,120,121,121,122,124,124,122,121,122,123,123,123,121,119,121,122,120,121,123,123,121,121,121,124,125,124,122,123,127,129,128,126,126,127,126,124,122,122,123,123,124,124,124,124,123,123,124,127,129,128,126,125,126,125,126,126,126,126,126,126,127,128,130,131,130,129,131,132,133,134,137,140,140,139,138,139,141,142,142,142,139,135,133,132,132,133,135,136,138,138,139,139,138,143,149,148,145,143,142,144,148,145,138,136,138,140,139,136,137,140,141,140,139,142,143,143,142,141,140,141,141,136,138,143,141,139,142,142,141,137,134,135,139,142,143,141,138,138,138,134,133,134,134,135,135,136,138,141,141,140,139,138,137,136,136,136,137,136,136,136,137,137,137,138,139,141,143,142,140,141,145,146,145,147,149,151,149,149,150,149,149,150,148,144,142,143,145,146,146,145,144,145,149,153,156,157,158,158,159,158,158,155,151,150,152,155,158,156,154,156,160,163,163,163,162,160,null],[126,126,128,129,130,131,132,131,131,133,136,134,132,132,133,134,133,133,137,140,140,139,136,135,137,140,140,141,142,143,140,136,135,135,136,134,132,132,131,130,129,130,130,131,129,126,126,129,129,127,129,132,133,134,134,135,133,132,132,134,134,131,126,126,130,136,137,137,138,137,136,134,132,130,127,126,126,127,128,129,131,135,137,138,138,137,136,132,128,126,129,134,134,134,135,136,136,136,134,131,132,134,133,129,124,123,123,123,123,124,127,128,127,128,129,127,126,127,128,129,128,128,127,128,131,134,134,132,131,132,133,134,134,134,136,137,136,135,133,133,134,135,136,134,132,131,134,135,135,133,130,127,125,122,121,124,130,131,131,129,127,129,133,135,135,137,137,135,135,135,135,132,131,137,143,141,137,135,137,139,142,143,143,141,140,140,139,135,133,134,136,137,139,141,140,136,131,131,132,133,133,134,133,130,127,126,128,130,131,130,126,123,121,121,123,126,130,129,126,123,125,128,127,124,123,125,128,131,134,134,130,126,125,127,130,131,130,128,127,126,125,124,123,122,121,120,120,120,121,120,118,118,121,124,126,123,119,119,123,126,127,126,123,122,124,122,117,114,115,116,115,115,115,116,115,113,112,113,116,118,117,116,115,117,118,117,118,119,120,119,118,117,118,119,119,120,120,121,122,123,123,121,121,121,122,123,123,121,120,121,121,119,120,121,119,118,118,119,121,122,122,121,122,125,127,125,122,122,122,122,123,123,123,123,125,126,126,126,125,124,125,126,127,129,129,128,127,128,128,128,127,127,127,127,127,128,129,131,131,131,132,134,135,136,137,137,138,141,142,139,139,142,143,143,142,138,133,131,133,134,137,139,138,137,138,141,143,143,145,146,145,143,144,145,146,146,141,136,137,139,139,138,137,137,139,141,139,139,142,141,139,140,142,141,138,136,136,140,143,140,137,140,142,142,140,135,134,138,143,142,140,138,139,138,135,133,135,135,137,139,140,143,145,143,140,139,140,138,137,138,139,139,136,135,136,138,139,139,140,142,144,147,147,144,142,144,143,142,144,145,147,149,149,149,151,153,152,149,146,145,143,142,144,146,147,148,149,150,151,153,155,158,159,159,158,155,152,148,148,152,157,158,153,152,155,161,164,164,162,160,158,null],[127,127,127,127,127,129,130,130,130,133,135,134,132,132,134,135,133,134,137,140,140,139,137,135,136,139,139,140,142,141,138,135,133,135,137,136,134,132,130,129,130,131,132,130,127,124,125,129,129,128,129,131,133,133,133,135,134,133,133,134,132,130,128,129,132,134,137,138,138,136,133,132,132,131,130,128,126,125,125,129,133,136,137,138,138,136,133,130,127,125,127,132,134,135,136,137,138,136,134,132,132,134,135,133,128,127,125,121,122,126,128,128,127,128,130,130,131,131,128,126,125,128,129,131,134,136,139,138,134,134,135,134,133,134,136,137,136,134,132,133,136,137,136,132,130,130,134,134,132,129,127,126,125,122,121,124,128,131,133,132,129,128,133,137,138,138,138,140,139,139,139,135,131,135,140,138,134,133,135,137,139,141,143,143,142,141,138,135,135,138,141,140,137,136,134,132,129,129,130,132,134,136,135,132,127,125,127,129,129,127,125,124,124,124,124,127,129,126,122,122,127,130,128,125,124,127,131,133,134,132,128,126,127,129,131,132,131,129,127,126,124,123,122,121,120,121,122,125,125,121,117,118,121,125,126,124,122,121,123,125,127,126,124,124,127,124,118,115,114,115,115,114,115,115,116,116,114,112,113,116,118,117,116,117,117,117,118,119,120,120,119,118,119,119,120,119,119,120,120,121,121,121,120,120,122,123,122,121,121,121,120,117,118,120,118,117,117,118,119,121,121,120,120,122,123,120,118,119,120,120,121,123,124,125,127,129,129,128,127,127,128,127,126,129,130,130,131,132,132,132,131,129,128,128,130,131,131,131,131,132,134,136,139,140,140,138,137,139,142,140,138,140,141,141,140,137,134,134,135,137,141,142,139,137,139,144,147,148,145,141,140,143,147,147,143,140,137,136,140,141,137,136,138,140,141,140,140,141,144,141,137,140,144,142,137,134,138,142,142,139,135,137,141,142,142,137,133,137,143,143,140,137,137,137,136,135,136,137,140,143,144,144,142,139,136,138,140,140,140,143,145,144,139,138,141,142,142,140,141,143,144,148,150,152,151,148,143,142,142,144,146,149,150,149,152,155,153,150,149,149,148,145,145,148,151,152,153,152,151,152,154,157,162,162,157,151,148,147,150,154,157,155,151,151,155,160,163,163,160,158,157,null],[128,127,125,125,127,129,131,132,133,135,136,133,130,132,135,137,136,135,136,138,138,138,136,135,136,137,138,139,139,139,136,133,134,137,138,138,136,135,133,130,131,133,131,128,125,124,126,130,130,129,131,134,134,134,133,133,134,134,135,133,129,129,131,133,133,135,137,139,138,136,135,134,132,131,131,130,128,125,125,129,132,133,134,136,136,135,132,131,131,126,126,129,132,133,133,135,136,136,135,134,133,133,135,134,131,130,127,122,122,127,129,128,127,128,130,132,133,134,130,126,125,129,132,134,135,138,140,141,137,136,137,135,134,135,138,138,137,134,133,134,136,137,134,131,129,130,131,131,128,126,126,125,124,122,121,122,125,127,131,134,133,131,134,137,139,139,140,143,143,141,141,138,134,134,134,133,134,137,139,139,139,140,143,145,144,141,139,137,137,141,145,142,137,132,131,131,131,130,130,132,135,137,136,132,127,124,125,125,125,124,125,128,128,128,128,130,130,127,123,121,125,129,130,128,125,127,130,133,133,130,126,125,128,132,133,133,132,131,130,128,127,125,122,120,120,121,123,127,127,122,117,118,121,124,125,125,125,124,122,124,127,127,125,124,126,125,120,115,113,114,114,114,113,114,117,118,116,113,113,116,118,118,117,116,116,117,118,119,120,121,120,119,118,119,119,119,119,120,120,120,120,121,120,120,122,123,122,122,122,122,119,117,117,118,117,116,116,115,116,118,118,117,118,119,118,116,117,119,119,118,119,121,124,126,129,131,133,132,131,131,131,129,127,128,131,133,134,134,134,135,134,132,131,131,133,134,134,134,134,134,135,139,141,141,140,138,136,138,140,139,137,137,137,137,137,138,139,139,139,141,143,142,139,138,141,145,149,151,146,139,139,144,148,146,141,138,135,135,141,140,133,133,139,143,143,140,140,141,141,137,136,141,145,143,137,134,137,140,139,138,138,139,140,140,139,135,132,136,142,142,139,136,134,136,137,137,137,138,140,142,142,140,137,135,135,137,139,139,141,146,149,148,144,142,144,147,145,141,141,144,145,146,148,153,154,150,146,144,145,145,145,149,151,151,153,155,153,151,151,152,151,147,145,148,154,157,156,153,152,154,156,157,160,160,155,148,146,150,153,153,153,152,152,153,156,161,165,164,160,156,156,null],[130,128,126,126,127,131,133,134,135,135,135,131,129,132,134,136,137,136,134,134,136,137,135,134,135,137,137,137,137,138,135,132,134,137,139,139,138,137,134,132,132,131,129,127,125,126,128,131,130,129,133,136,136,136,135,133,133,135,135,131,127,128,132,133,133,134,137,139,138,137,137,135,132,129,130,132,131,127,125,128,131,130,130,133,136,136,134,133,132,129,126,127,129,130,131,132,134,136,137,135,133,132,133,132,130,130,128,122,123,127,128,128,128,128,129,131,132,133,132,129,127,129,132,133,134,135,137,138,138,138,138,135,134,135,138,138,136,134,134,134,135,133,131,129,130,130,130,129,129,129,127,124,122,121,120,121,123,124,128,133,135,135,134,135,137,138,141,143,144,142,140,139,138,136,133,131,134,140,143,142,141,141,144,147,145,141,140,139,138,141,144,143,138,133,132,134,135,134,133,133,136,137,137,133,129,125,124,123,122,123,126,129,129,130,132,132,131,128,126,123,122,126,130,130,127,127,129,131,132,130,126,125,129,133,134,132,131,131,130,129,128,126,123,120,121,122,124,126,126,123,119,118,120,122,123,125,126,125,122,124,127,128,126,125,125,125,122,116,113,113,114,113,113,115,117,118,116,114,114,116,117,118,118,117,117,118,118,118,119,120,120,120,119,118,119,119,119,120,120,119,120,121,121,120,120,121,121,122,121,121,119,118,117,116,115,115,114,114,114,115,115,115,116,117,116,116,118,121,120,118,118,121,125,128,130,132,133,134,133,133,133,132,131,130,131,135,136,134,134,135,136,136,134,133,133,134,135,136,135,134,134,139,140,137,136,136,135,136,138,137,136,135,135,135,136,139,143,143,142,143,141,140,138,140,144,145,147,151,147,142,141,144,145,145,142,138,134,134,137,138,133,133,138,142,143,140,139,138,136,135,136,142,145,142,137,134,136,136,137,140,142,141,140,139,136,132,131,135,140,141,138,134,132,134,136,137,137,137,139,140,138,135,135,135,136,138,140,140,141,145,149,149,147,145,147,150,148,142,142,144,146,146,146,148,151,152,150,148,149,147,145,148,151,152,153,152,151,151,152,154,152,148,147,150,156,159,158,156,155,157,158,158,157,155,152,149,149,155,156,153,152,153,156,157,158,162,166,165,161,156,154,null],[131,132,130,127,126,131,134,134,134,132,131,131,131,133,133,134,135,133,131,132,135,137,135,132,134,137,138,138,138,138,135,132,131,134,136,138,137,135,133,132,130,129,128,127,128,129,131,132,131,129,132,134,136,138,138,136,136,137,135,131,128,127,129,132,132,131,135,139,138,135,133,131,130,127,129,132,133,129,125,125,128,130,131,133,136,137,136,133,129,129,128,127,127,128,130,131,134,137,138,136,135,134,132,131,130,129,127,123,123,126,128,128,128,129,130,130,132,133,132,130,129,128,129,130,131,132,132,132,134,137,138,136,134,134,136,136,133,131,132,133,132,129,127,128,131,132,131,132,134,133,129,123,121,121,121,123,125,124,126,130,134,137,135,133,134,136,139,141,143,142,140,140,141,142,138,132,132,137,140,141,141,144,147,147,144,142,141,140,140,140,142,143,141,137,134,136,139,138,135,133,135,138,139,137,133,129,127,125,124,124,126,127,127,130,133,133,130,129,129,127,123,123,128,129,129,130,130,130,131,130,127,126,129,132,133,131,130,128,127,127,127,125,123,122,123,125,125,125,124,122,119,118,120,123,124,125,126,124,123,125,126,127,126,127,127,125,121,117,114,114,114,114,115,116,117,116,115,115,115,114,114,116,119,120,120,120,118,117,118,119,120,121,121,120,120,119,119,119,120,120,121,120,120,120,118,117,118,117,117,118,119,120,119,116,116,115,115,114,115,116,117,116,115,115,117,118,119,121,121,120,121,124,128,131,131,129,130,132,132,132,132,134,134,132,132,134,134,133,135,137,137,138,136,134,132,131,133,134,133,131,132,135,136,133,134,134,133,133,135,136,137,136,136,134,135,140,144,144,141,140,137,135,138,143,148,145,143,147,146,142,141,141,143,144,143,138,133,131,133,136,139,139,138,139,140,139,138,136,135,135,137,140,142,139,136,133,135,137,140,143,142,139,139,140,135,131,132,136,139,139,136,134,133,133,134,136,137,138,139,140,137,135,138,139,139,140,141,142,142,142,144,146,147,147,149,152,151,146,143,145,149,149,146,146,149,154,154,152,152,150,147,147,150,152,151,148,147,149,152,154,154,151,151,154,158,160,160,159,158,156,157,156,154,151,150,151,154,159,158,154,155,158,160,159,158,161,163,164,161,157,152,null],[132,134,133,129,126,127,130,132,132,131,132,132,133,132,133,133,131,129,129,131,133,134,132,130,133,137,139,139,138,138,137,134,131,131,134,136,134,132,131,131,129,127,125,125,128,131,133,133,131,129,130,132,133,137,139,138,138,138,136,133,129,128,128,130,131,132,135,138,136,133,131,131,130,126,129,133,133,128,123,123,126,129,131,134,136,137,135,131,129,129,129,127,125,125,127,131,136,138,137,135,135,135,132,130,130,128,125,123,125,128,128,127,128,129,131,132,133,134,134,132,130,127,126,126,129,131,132,133,135,137,139,137,135,134,135,135,132,131,133,134,132,129,127,129,133,135,134,134,134,134,130,125,122,122,122,124,126,124,124,127,131,133,132,132,133,136,138,139,140,140,139,140,142,144,142,136,133,133,135,137,139,143,147,147,146,144,141,139,140,142,143,144,142,139,135,136,140,140,136,133,135,139,140,138,135,131,128,127,126,126,126,126,126,129,132,132,131,130,130,128,126,126,128,130,130,131,132,132,132,131,129,129,130,132,132,131,128,126,126,126,126,124,122,122,124,127,126,124,122,121,119,119,121,124,125,126,126,125,125,125,125,125,126,129,130,126,121,118,116,114,114,115,116,117,117,116,116,116,115,114,113,113,114,118,120,120,118,116,117,119,120,122,122,122,121,120,119,119,121,122,121,120,120,119,118,116,115,114,114,115,118,120,119,117,117,117,117,117,118,118,118,116,114,115,118,120,120,119,119,120,122,126,129,130,128,125,125,128,129,129,130,132,133,131,131,132,132,133,136,137,135,136,136,134,130,127,129,132,131,131,130,131,131,131,131,132,132,132,133,135,138,138,138,136,137,142,144,141,137,135,134,136,140,146,149,147,145,144,143,140,137,139,143,145,143,138,133,131,132,136,141,142,140,139,138,136,134,134,137,139,138,137,137,135,134,134,138,141,142,143,141,137,138,139,134,131,132,136,138,137,135,134,134,134,135,138,140,140,140,141,140,138,140,142,141,142,142,143,141,140,141,143,145,146,149,153,152,147,144,146,151,151,149,149,152,156,156,153,152,150,150,149,149,150,148,145,146,149,151,153,154,153,154,157,157,158,159,159,156,153,154,156,154,150,148,152,157,158,155,155,158,162,163,159,155,156,160,161,160,156,151,null],[131,133,135,132,127,124,125,128,131,133,134,133,132,132,133,133,129,128,130,131,130,129,129,131,134,137,138,138,137,137,138,136,132,130,133,135,134,132,130,130,129,127,123,123,126,130,132,133,131,130,130,131,133,135,137,138,138,137,137,134,130,128,128,129,132,135,136,136,134,133,133,134,132,128,129,133,131,126,122,122,125,127,130,134,135,134,133,132,131,130,129,127,124,122,124,129,135,136,134,132,134,135,132,130,130,128,125,123,126,129,128,126,127,128,131,132,133,134,135,134,132,129,126,125,128,132,135,137,137,137,138,139,138,137,137,136,135,135,136,137,135,133,131,131,134,137,136,133,131,132,131,127,125,123,123,124,125,125,125,127,128,128,129,131,134,136,137,137,137,138,139,140,141,142,141,139,136,134,133,135,137,140,143,147,148,145,139,137,140,145,146,144,142,140,136,135,139,140,137,135,136,138,137,135,134,131,127,125,126,127,128,128,128,129,131,133,133,132,128,126,127,130,132,131,130,129,132,135,134,132,131,130,131,132,133,131,128,127,127,128,127,124,122,122,124,125,123,122,121,120,119,121,123,124,125,126,127,128,127,126,124,124,127,130,130,127,122,119,117,115,116,117,116,116,116,117,117,117,116,116,114,111,109,112,116,118,117,116,117,118,119,120,121,121,121,121,120,120,121,122,122,121,120,120,118,117,116,115,114,115,117,118,118,117,119,119,119,119,120,119,118,116,115,116,118,120,119,117,117,119,122,125,127,127,125,123,123,125,126,127,129,131,130,129,130,131,131,133,135,134,132,134,135,133,129,126,129,132,132,133,132,131,130,129,130,132,134,133,133,136,139,140,139,138,139,142,143,137,132,132,136,141,143,145,147,149,149,146,140,136,135,140,145,145,141,138,134,132,133,137,140,141,141,140,137,133,130,133,138,141,139,134,132,133,134,136,141,143,141,140,140,137,137,135,133,132,132,134,136,136,135,134,135,136,139,142,144,143,141,142,143,143,142,143,143,143,142,142,142,141,141,143,144,145,149,153,152,148,145,148,152,153,152,154,156,158,157,154,149,148,150,151,151,150,146,145,146,149,150,151,152,153,155,157,155,155,156,156,153,150,153,157,155,150,146,151,156,154,152,155,158,161,162,157,151,152,156,158,158,155,151,null],[130,132,134,134,130,125,124,127,131,133,132,130,130,134,134,132,131,131,132,132,130,130,131,132,135,136,136,135,135,136,137,135,132,130,132,134,134,133,131,131,129,127,124,123,125,127,130,132,133,132,131,131,135,135,136,138,139,138,136,132,128,128,129,129,131,134,136,137,136,136,136,136,134,130,131,132,131,126,122,121,124,127,130,132,133,133,134,135,134,131,130,128,123,121,123,126,128,129,129,130,133,133,131,129,129,129,127,125,126,128,127,125,126,127,128,129,131,132,132,132,133,132,129,127,128,132,135,137,135,134,135,139,142,141,139,138,138,139,138,137,136,135,134,133,134,135,135,133,132,133,132,128,125,123,123,124,125,127,128,129,129,128,128,130,133,136,137,137,136,137,139,139,139,139,140,138,137,137,136,136,137,138,140,144,146,144,139,138,141,146,147,146,144,142,138,136,139,139,137,136,137,136,134,132,132,130,127,125,125,127,129,130,131,132,133,134,134,132,127,125,128,133,135,133,129,128,132,136,136,134,132,130,131,132,133,132,130,128,128,127,127,127,126,125,123,122,120,119,120,121,122,122,123,123,124,126,128,131,131,129,126,126,129,131,129,126,123,119,117,117,117,117,115,114,115,117,119,119,119,118,117,114,110,109,110,112,114,116,117,117,117,118,119,120,120,120,119,118,118,120,121,120,119,119,119,118,118,117,117,118,118,119,119,120,120,120,119,119,119,118,118,118,117,116,117,119,120,119,119,119,121,123,124,124,124,125,124,123,124,126,130,131,129,129,129,130,130,131,131,131,132,135,136,134,130,128,130,133,134,136,136,134,132,131,132,135,136,136,136,137,140,140,139,138,138,140,139,134,131,134,141,144,143,140,140,145,149,146,140,135,136,140,144,140,136,136,135,132,132,135,139,142,142,140,135,131,130,133,136,138,136,132,130,134,136,138,139,139,137,136,136,136,135,133,133,133,134,136,137,137,135,135,137,139,140,142,143,144,144,143,143,144,145,147,147,144,143,145,145,144,145,146,144,144,148,153,154,151,149,151,153,154,155,156,158,157,158,156,150,145,146,150,153,150,144,142,144,147,147,147,148,151,154,155,152,153,156,155,151,150,154,158,153,147,145,148,152,152,154,158,158,158,159,154,149,150,153,155,157,156,152,null],[130,131,133,135,133,128,125,126,130,131,130,129,130,134,134,132,133,135,135,133,131,132,133,133,135,135,134,133,133,134,134,131,130,129,132,135,135,134,132,132,130,128,126,125,124,126,128,131,134,134,132,132,135,137,137,138,139,137,134,130,128,128,129,128,129,133,136,138,139,138,136,135,134,132,131,132,131,128,123,122,124,129,132,133,133,134,137,137,135,132,130,129,125,122,124,124,122,123,126,130,132,132,131,130,130,130,128,125,124,125,125,125,127,128,128,127,128,128,128,131,134,136,134,131,129,130,133,134,133,131,133,138,143,143,139,136,138,140,139,136,135,135,135,133,134,134,135,135,134,133,131,128,125,124,124,125,127,129,130,130,130,129,129,130,132,133,134,135,135,135,136,135,134,136,137,137,138,140,140,139,139,138,139,142,143,142,141,140,141,144,147,145,144,142,139,138,140,140,138,138,137,135,131,129,129,129,128,126,126,128,129,130,132,133,134,134,132,131,128,127,128,132,134,133,130,129,131,135,137,135,133,131,130,131,133,133,131,130,129,127,127,128,127,126,123,120,119,118,119,123,125,124,122,121,123,126,129,132,132,131,129,129,131,130,128,126,124,122,120,120,119,116,114,115,117,118,120,122,122,120,118,116,113,110,108,108,110,113,114,113,113,115,118,119,119,118,118,117,116,118,120,119,118,119,119,119,120,120,120,120,119,119,121,122,120,118,118,118,118,118,120,120,119,117,117,118,120,122,122,122,124,124,124,124,126,128,126,125,125,127,130,130,130,130,131,131,129,128,129,131,134,135,135,133,131,129,129,132,135,137,138,136,134,134,136,138,138,138,139,139,139,138,137,136,136,136,134,132,132,137,142,143,141,136,134,139,142,141,137,136,137,141,143,137,132,133,132,130,132,136,140,141,139,136,132,130,130,132,133,134,133,130,130,134,136,136,135,133,133,133,133,133,133,134,134,135,136,137,138,138,136,135,137,140,140,140,141,144,145,143,142,144,147,150,150,147,146,149,149,148,149,148,146,146,149,153,154,153,153,154,153,154,156,156,155,154,156,156,152,144,142,147,151,148,143,140,143,145,145,145,147,150,153,153,151,153,157,155,149,149,155,158,151,145,147,149,151,154,158,159,157,155,156,154,151,150,153,156,158,157,154,null],[131,132,133,135,134,130,126,126,128,132,133,132,131,132,133,133,133,135,135,134,132,133,135,134,135,135,134,131,131,131,131,129,128,128,130,134,136,135,133,132,131,129,127,126,125,126,128,132,135,135,133,132,134,136,137,138,137,134,132,131,129,129,129,128,129,133,136,138,139,138,135,135,134,131,132,133,132,128,125,124,126,130,134,134,135,136,138,136,133,132,131,129,126,125,126,123,119,121,127,132,133,133,134,133,131,131,130,125,122,122,123,125,127,129,129,127,126,127,128,131,135,136,136,134,132,130,130,131,132,133,134,137,140,140,136,133,135,138,139,137,135,134,132,132,134,137,137,137,135,131,129,129,127,125,126,127,127,128,128,128,129,131,131,131,131,130,130,131,132,133,131,129,129,131,134,136,139,140,140,140,140,139,138,139,140,141,142,142,141,143,144,143,141,139,138,139,141,141,140,139,137,134,130,128,128,128,128,128,129,130,130,130,132,133,133,132,130,130,130,128,128,129,132,133,133,131,132,134,135,135,134,132,131,131,132,133,132,131,130,128,127,126,125,124,121,120,119,119,122,125,127,125,122,120,122,126,128,130,130,131,131,130,130,129,127,126,126,126,125,124,121,118,117,119,120,120,121,124,124,120,117,116,116,113,109,109,109,109,109,109,110,113,116,118,117,116,116,117,117,118,118,117,117,118,119,120,121,123,123,122,120,119,120,121,120,118,117,118,119,119,120,120,119,119,118,119,119,121,122,123,126,127,126,126,128,129,129,129,128,129,130,129,129,132,133,131,127,126,129,133,134,133,131,132,130,127,127,130,134,137,136,134,134,136,138,138,137,139,140,139,136,134,134,136,135,132,130,130,133,136,138,139,138,135,133,135,136,134,133,135,138,142,144,139,132,129,128,130,134,138,141,138,134,131,130,130,130,130,131,132,131,130,130,133,134,133,131,131,133,133,132,131,133,135,136,136,135,135,137,139,138,136,137,139,140,141,142,143,142,140,141,145,147,149,149,149,150,151,151,150,149,149,150,151,153,154,153,152,153,154,151,153,156,154,152,150,151,153,153,147,142,143,145,143,142,142,143,144,146,147,149,152,153,153,153,155,156,153,148,148,153,155,150,146,149,152,154,158,159,157,154,154,156,156,152,151,154,158,158,155,153,null],[132,132,132,134,134,133,130,129,129,132,135,134,132,132,133,133,132,131,132,133,132,134,136,137,136,136,135,133,132,131,131,130,129,128,128,131,133,134,133,132,129,128,126,127,127,127,128,132,135,136,134,133,134,135,136,136,134,132,132,133,132,131,130,128,129,133,136,137,138,138,137,135,134,132,134,136,133,128,125,126,127,129,132,134,135,136,137,135,133,131,130,128,126,125,125,123,120,122,127,133,133,132,133,134,133,132,130,127,123,121,122,125,127,129,130,130,129,129,131,133,134,136,136,135,133,132,130,129,132,136,137,136,135,135,133,132,136,139,139,138,136,135,132,132,136,138,138,136,133,130,130,130,128,126,126,127,127,127,127,127,130,133,134,133,132,130,129,130,132,133,132,131,129,129,131,135,136,137,138,138,138,137,136,136,137,138,141,142,142,143,143,141,139,138,138,139,140,140,138,137,136,135,131,129,129,130,129,128,129,130,131,132,133,134,133,133,132,131,130,128,128,129,130,132,134,134,134,134,134,134,135,134,132,131,131,132,132,130,129,128,127,126,125,124,122,119,118,120,125,127,126,124,123,122,124,125,126,128,129,130,131,131,129,128,127,127,129,129,128,126,124,122,122,124,125,124,125,126,125,121,117,117,117,115,112,111,109,108,109,110,112,112,112,113,113,114,115,118,119,119,118,117,118,118,119,120,121,123,123,122,120,119,118,118,118,118,118,119,120,120,120,119,119,119,119,119,119,120,121,121,124,126,126,127,129,131,131,131,131,131,130,128,128,131,132,131,126,126,131,134,134,131,129,128,128,126,127,129,132,134,133,132,134,137,135,134,135,137,137,136,133,132,133,135,134,130,128,130,132,132,133,134,135,134,133,134,135,133,132,135,139,143,143,140,133,128,128,133,135,136,136,134,130,130,131,131,132,131,131,130,130,130,130,131,131,131,131,132,134,134,132,131,132,134,136,137,137,135,135,140,142,140,140,141,143,143,142,140,137,138,141,144,144,144,145,148,150,149,151,152,149,148,151,155,158,157,153,150,150,150,149,151,153,153,151,149,148,150,154,150,142,141,140,139,142,144,144,144,147,151,153,152,150,151,154,156,155,150,147,148,151,152,149,149,153,156,157,157,156,155,154,155,156,154,151,151,153,155,154,152,152,null],[133,132,132,132,133,135,135,135,133,133,134,133,132,132,133,132,131,130,130,131,132,134,135,137,136,136,136,135,134,132,132,132,131,130,128,128,129,131,132,130,127,126,126,128,128,128,128,132,134,136,135,135,137,136,134,135,134,131,133,135,134,132,131,129,130,132,134,136,137,138,138,136,134,133,136,138,134,127,125,126,128,127,129,132,133,134,135,134,132,129,128,127,126,124,125,124,122,122,126,133,133,131,132,133,133,132,131,129,124,120,120,123,126,128,131,132,132,131,131,133,134,136,136,135,134,134,132,130,131,135,136,134,132,133,133,134,138,140,140,139,138,136,135,134,137,138,137,135,132,131,131,130,126,124,125,126,127,127,128,129,132,134,135,135,135,135,133,131,132,135,136,136,134,131,131,133,133,133,136,137,136,136,136,135,134,136,139,142,142,143,143,142,140,140,139,139,139,136,133,133,134,134,131,131,133,133,130,129,129,129,131,134,135,134,134,136,136,133,129,128,130,132,132,133,134,136,136,134,133,133,133,134,134,132,131,131,131,129,127,126,126,126,126,126,123,118,116,120,127,128,125,123,123,125,126,126,126,128,129,130,131,132,130,128,128,130,132,131,129,128,127,126,125,126,127,127,126,125,123,121,119,117,116,115,114,113,111,111,113,116,115,112,110,110,111,114,116,118,118,118,118,117,118,118,118,119,120,122,123,122,120,119,117,117,118,119,120,119,119,120,119,118,119,119,119,119,119,120,119,119,121,122,123,125,129,132,133,132,132,131,130,128,127,128,129,128,127,128,131,133,132,130,127,125,126,127,128,130,132,132,130,130,133,135,133,131,133,133,132,132,131,131,132,133,131,129,128,130,131,130,130,131,133,133,133,136,138,137,135,136,139,142,142,139,134,129,130,134,133,131,131,131,130,131,132,134,136,135,133,131,131,131,131,132,132,131,132,134,136,135,133,133,133,133,135,138,140,138,136,141,144,143,143,143,143,143,139,135,134,136,140,141,140,140,142,144,146,146,148,150,150,149,151,154,157,156,154,149,147,146,147,147,148,152,152,148,146,149,153,150,142,140,141,142,144,145,144,145,149,154,154,151,147,147,153,156,154,150,148,149,150,150,149,152,156,158,156,152,152,155,157,158,156,152,148,150,151,150,149,151,153,null],[133,133,133,131,131,134,137,139,137,137,136,134,131,131,132,132,133,133,133,132,132,133,132,133,134,135,135,136,135,132,131,133,133,132,129,128,129,129,129,128,126,125,126,128,130,129,129,131,133,135,135,137,139,137,135,136,134,132,134,137,135,134,133,133,132,131,133,135,136,137,136,137,135,133,135,137,135,128,124,126,129,128,128,130,131,132,133,133,132,128,127,128,127,126,128,127,124,122,125,131,133,133,132,132,133,132,132,130,125,121,119,122,125,128,130,132,131,129,129,131,134,136,137,136,135,134,133,131,129,130,132,133,133,134,134,136,139,141,141,140,139,138,137,136,137,138,138,136,133,131,130,129,125,123,124,125,126,129,131,131,131,132,134,136,138,138,136,133,133,135,137,139,139,137,134,134,133,133,135,136,136,138,138,137,135,136,141,144,143,144,145,144,142,142,141,141,138,132,130,132,133,132,132,135,136,134,131,131,131,130,131,132,133,134,135,138,138,133,130,130,132,134,135,135,135,136,136,134,133,132,131,131,133,134,132,129,128,128,128,126,123,124,126,126,123,118,117,121,127,128,125,123,123,124,126,127,128,129,129,129,130,132,132,130,129,131,133,132,131,130,130,128,125,126,127,127,126,124,122,119,117,115,114,115,116,115,114,115,118,119,117,114,113,113,114,115,116,117,117,117,116,116,116,117,118,119,120,122,123,122,120,118,117,118,120,120,120,119,119,121,121,119,119,119,121,121,119,119,119,119,120,120,119,122,126,130,132,132,130,129,129,128,126,125,125,126,127,129,129,129,129,128,126,124,125,127,129,131,133,131,129,128,130,132,133,133,132,130,128,128,130,130,131,129,128,128,129,130,131,132,132,132,133,134,134,138,141,140,136,134,138,142,140,137,133,130,130,132,131,130,129,131,132,133,134,136,139,140,138,134,133,132,134,138,137,134,134,136,138,138,137,137,137,138,137,138,142,140,140,143,143,141,138,138,139,138,135,134,134,137,138,139,140,142,142,141,143,146,146,146,150,153,152,152,151,151,151,151,150,148,146,142,143,148,148,145,145,148,151,147,140,142,147,149,146,144,145,147,151,153,153,150,146,145,149,153,154,152,148,147,148,150,151,153,155,154,153,150,151,156,159,159,157,151,147,149,151,150,151,154,156,null],[131,132,134,132,130,132,135,139,139,138,137,135,132,132,134,135,135,135,136,136,134,132,131,132,134,135,135,135,133,131,133,135,135,133,130,129,131,129,127,128,127,125,126,128,131,131,131,130,130,131,133,136,138,138,138,138,136,134,135,138,138,137,136,134,133,132,133,134,136,136,135,137,136,134,134,135,134,129,123,124,128,130,129,129,130,131,131,132,132,129,129,131,131,131,131,130,127,125,126,130,132,133,134,134,133,132,131,131,128,123,120,121,124,127,129,129,128,127,126,128,132,134,136,136,136,135,133,131,128,128,129,132,134,136,137,138,139,140,140,139,139,138,137,137,137,138,139,137,135,133,132,130,125,122,123,125,126,128,129,130,129,130,132,136,139,139,137,136,135,135,135,139,142,142,139,138,137,137,137,137,137,139,141,140,138,139,142,145,143,143,144,145,144,144,144,143,137,131,130,135,136,135,135,136,135,132,131,132,134,132,131,131,131,132,134,136,136,133,131,132,133,134,135,136,135,135,134,133,132,131,129,129,131,133,131,128,127,128,129,126,122,123,125,125,122,119,118,121,126,129,127,124,123,124,125,125,127,129,129,129,129,131,133,134,132,132,132,132,131,131,130,128,126,126,127,126,126,125,122,118,116,116,115,117,119,118,116,118,121,121,118,116,116,119,118,117,116,117,118,118,117,116,116,118,119,120,121,122,122,120,119,118,118,119,120,120,119,118,119,121,121,120,119,120,121,121,120,118,119,121,122,120,119,119,122,126,129,129,127,125,127,126,124,123,124,126,128,128,126,126,126,126,126,125,127,129,130,132,134,132,128,127,128,129,131,132,130,128,127,128,129,129,129,128,128,129,131,131,131,133,134,133,134,136,137,139,140,139,135,132,136,139,137,134,132,129,129,130,130,130,130,131,132,132,133,136,139,140,138,136,134,136,140,143,140,136,135,137,139,141,142,141,141,142,141,140,142,143,143,144,141,136,135,136,137,136,136,138,140,140,139,141,145,146,144,141,144,149,148,146,152,154,150,148,148,147,150,153,154,152,148,143,141,143,143,142,144,148,149,143,138,142,150,154,150,147,149,151,151,151,151,150,149,148,147,149,153,153,148,144,146,151,153,151,150,150,150,152,154,156,159,159,157,150,146,149,153,154,157,158,158,null],[129,131,133,133,131,131,132,135,136,137,136,135,134,135,138,138,136,135,137,138,137,133,133,135,136,137,136,134,132,132,135,137,136,133,130,131,132,130,128,130,129,126,125,128,130,132,132,130,128,129,130,133,135,138,139,139,137,135,136,139,141,140,137,134,133,134,134,134,137,137,136,137,137,134,132,133,132,128,123,123,126,128,130,130,131,130,131,133,133,130,130,133,135,134,132,130,129,129,130,131,129,129,134,136,133,131,131,132,131,127,124,122,123,126,126,126,125,125,126,127,129,130,133,135,136,137,134,131,129,130,131,132,133,136,138,139,139,137,137,136,136,137,136,136,136,138,139,137,135,135,134,131,126,123,123,126,127,127,127,127,128,130,132,135,138,138,138,139,138,136,135,138,143,145,144,142,142,141,140,138,137,139,141,142,141,140,142,143,141,140,141,143,145,146,147,144,137,133,135,140,143,141,139,137,134,131,130,133,136,134,133,133,132,132,133,134,133,131,131,132,133,134,135,134,133,133,132,131,131,131,129,128,129,130,129,127,127,129,129,126,123,124,125,123,122,121,119,121,125,128,128,125,124,125,124,123,124,126,128,129,128,128,133,136,135,132,130,129,130,129,128,128,128,128,128,126,126,126,122,119,118,118,118,120,121,120,119,119,120,119,118,117,118,120,119,117,117,119,121,122,121,119,119,120,122,123,123,122,120,118,118,118,119,119,119,118,117,118,119,120,120,119,118,118,121,121,120,119,120,122,123,122,121,120,120,123,125,125,123,123,124,123,122,124,126,127,127,125,124,124,125,126,126,127,130,131,131,132,133,130,127,127,127,127,127,127,127,128,130,131,129,128,128,129,130,131,131,130,130,133,135,135,135,137,138,137,135,135,133,131,133,134,133,132,130,129,129,130,130,130,130,130,130,131,132,135,136,137,136,135,136,139,143,143,140,137,138,138,140,143,145,143,141,142,143,143,143,144,145,143,138,134,136,139,140,139,141,144,146,145,144,146,150,149,146,145,149,152,152,150,154,152,146,146,149,149,150,152,154,154,152,148,144,143,141,141,146,150,147,141,138,141,148,152,153,152,155,154,150,149,149,150,151,150,146,146,150,150,146,143,145,150,151,148,148,148,152,155,157,156,157,157,154,149,147,150,155,158,159,158,157,null],[129,129,130,132,134,133,132,132,134,135,135,134,134,135,138,138,138,137,137,138,139,136,135,135,134,134,135,135,134,133,134,136,136,134,131,131,132,132,132,133,130,127,126,126,128,131,132,131,129,130,131,133,134,136,137,138,137,137,138,139,140,138,135,135,135,135,133,134,136,137,137,137,136,134,132,130,130,129,125,123,122,124,129,132,131,130,132,133,131,129,131,134,137,137,133,130,129,130,131,130,125,124,131,135,132,130,131,132,132,131,128,124,123,125,126,125,124,126,128,129,129,128,130,132,135,138,136,133,132,133,134,132,132,135,139,140,138,136,135,134,135,135,134,133,133,134,134,133,133,134,133,130,128,127,125,125,125,126,127,128,129,130,132,134,135,135,138,141,140,136,134,138,143,145,144,143,143,142,139,137,137,139,141,142,142,142,140,138,137,137,138,141,144,147,147,143,137,134,138,142,145,145,143,140,137,133,131,132,135,135,136,136,136,136,135,134,132,130,129,132,134,136,137,136,134,132,130,129,130,131,131,129,127,126,126,126,126,127,127,126,125,126,125,123,122,122,122,122,125,127,128,126,125,126,125,124,124,125,127,128,127,127,131,135,135,133,131,130,129,127,126,127,128,130,130,129,127,125,122,122,123,122,120,119,119,121,121,120,117,116,117,118,118,119,118,117,118,121,123,125,124,122,121,122,124,125,125,122,120,118,118,119,120,119,118,117,117,118,120,121,121,120,119,118,119,121,120,119,120,122,124,124,124,122,121,121,121,120,120,121,122,122,124,125,126,125,125,124,124,125,126,126,125,126,129,130,130,130,130,127,126,126,127,127,127,127,127,129,132,134,132,130,130,132,132,131,128,125,128,134,136,135,133,134,135,133,130,130,131,130,130,130,130,129,128,128,128,129,131,132,131,130,129,131,133,135,136,137,136,135,137,141,143,139,138,140,140,140,141,143,145,143,140,138,141,143,143,143,143,139,136,135,138,142,143,142,144,147,149,149,149,149,148,149,149,149,149,150,152,152,152,148,144,146,150,152,152,151,152,153,151,151,148,146,142,141,146,148,142,138,140,142,145,148,152,155,155,151,148,147,148,147,149,149,146,145,149,151,148,144,144,147,147,148,151,154,156,158,159,159,157,156,153,149,147,151,157,159,157,153,153,null],[132,130,128,131,134,135,134,134,134,135,137,136,135,136,136,137,138,138,136,137,138,137,135,132,131,132,135,137,136,135,134,134,135,135,132,130,131,132,134,133,129,127,126,126,126,128,129,130,130,132,133,134,135,135,134,135,136,137,139,139,137,136,135,136,136,134,132,132,133,135,136,136,136,134,133,131,130,129,125,123,120,121,125,131,131,131,133,131,128,129,131,134,137,137,133,129,129,131,130,127,122,122,129,132,129,130,132,133,132,131,129,127,124,125,125,125,125,127,130,131,130,128,128,130,133,136,136,134,135,136,137,135,134,136,137,137,137,136,135,136,137,136,134,132,131,130,130,130,131,131,130,129,130,131,128,124,124,125,128,130,131,131,132,133,134,135,138,141,140,137,135,137,141,142,141,141,140,138,135,134,137,140,140,140,141,141,137,135,137,139,139,139,142,145,146,143,138,136,138,142,144,145,144,142,139,135,133,132,133,135,137,139,140,139,138,136,133,129,129,132,136,139,140,139,136,133,131,129,129,130,132,129,126,124,124,124,124,124,124,124,125,126,125,123,123,124,124,124,125,126,127,127,127,127,126,126,126,127,126,126,127,128,130,132,133,133,134,133,130,126,125,126,128,130,133,132,128,125,124,126,127,125,121,118,118,120,122,120,116,115,116,117,118,118,118,118,119,121,123,125,124,121,120,123,125,126,125,124,122,119,119,120,120,119,118,118,120,120,122,124,124,122,121,119,118,120,121,120,120,122,124,124,124,123,122,122,120,119,120,121,121,123,125,124,123,122,123,124,123,124,126,125,124,124,126,127,128,127,127,126,126,126,127,128,130,130,129,130,131,133,133,132,132,133,132,129,124,120,124,132,136,134,131,131,132,130,128,128,129,130,129,128,128,127,126,127,128,130,133,135,134,132,131,134,136,136,137,138,137,135,136,139,139,137,139,142,141,140,140,142,142,140,138,137,138,140,142,142,140,136,135,137,139,141,144,144,144,147,149,149,151,150,145,147,151,150,147,146,150,152,148,144,144,147,150,153,152,149,150,149,147,148,149,147,143,141,143,143,138,137,142,144,144,145,150,154,151,147,146,146,146,143,145,147,145,145,149,153,152,146,143,145,146,149,155,159,159,159,159,159,156,155,154,151,148,153,157,156,152,150,151,null],[133,131,129,130,133,134,135,136,137,138,140,140,139,139,138,137,137,137,136,135,136,136,133,130,131,134,136,137,136,136,135,135,136,135,132,130,129,131,132,130,128,127,127,128,127,127,127,128,129,131,134,135,136,136,135,135,135,137,138,139,137,137,138,137,135,134,133,132,131,132,134,136,137,136,136,136,132,128,124,122,120,119,122,126,129,130,131,129,128,131,133,133,135,135,132,130,131,133,131,125,122,124,129,130,128,130,132,133,131,129,129,128,126,125,124,124,125,128,129,130,130,129,129,130,132,134,135,136,138,140,141,139,137,137,135,135,137,138,137,139,141,139,137,136,133,131,131,130,129,129,129,130,132,132,129,125,124,124,128,131,132,131,131,133,135,136,137,139,140,140,138,138,139,139,140,139,136,133,132,134,138,140,139,137,137,137,135,136,140,144,143,139,139,142,144,142,139,136,137,139,141,142,143,141,137,134,134,134,134,136,139,140,141,141,141,139,134,131,131,134,137,139,141,141,139,135,132,129,126,127,129,128,125,123,124,126,125,123,122,122,123,124,123,121,122,124,126,124,124,125,127,129,129,128,128,128,127,127,126,127,128,129,130,131,133,135,136,135,132,129,127,126,128,131,133,132,128,126,126,127,127,125,121,119,119,121,122,120,118,116,116,118,119,118,118,119,120,121,123,124,123,120,119,122,125,125,125,125,125,122,121,121,121,119,119,120,122,122,123,125,125,124,122,120,119,119,121,122,122,123,123,122,121,122,123,122,121,121,122,122,121,122,123,121,121,122,123,123,122,121,123,123,123,122,123,124,125,126,127,127,127,127,128,130,132,132,131,130,130,130,130,131,131,130,129,128,123,117,119,127,133,132,131,131,133,129,127,127,128,129,130,129,129,127,126,127,130,132,136,137,135,133,134,138,140,138,137,137,136,134,134,135,137,137,141,143,140,138,139,141,141,138,139,140,136,136,138,139,138,136,138,140,139,140,145,144,142,144,145,146,150,150,145,146,150,148,145,145,149,150,145,141,143,147,150,152,150,147,148,147,145,144,145,145,142,139,138,139,138,140,142,146,147,145,149,153,151,146,144,144,143,141,143,146,145,146,150,153,152,147,144,146,148,152,156,159,159,157,155,155,153,153,155,152,148,152,155,153,151,152,154,null],[132,133,131,131,132,133,134,136,137,138,139,140,140,140,139,137,137,137,137,136,136,135,133,132,135,136,135,133,133,134,135,137,136,134,131,130,130,130,129,128,127,129,131,132,130,128,127,126,127,129,133,134,135,135,135,136,136,135,137,138,138,139,139,135,134,135,135,134,131,131,133,136,137,138,138,137,132,127,122,121,121,119,119,121,124,127,129,130,131,134,134,132,132,133,133,134,135,136,133,128,128,131,133,132,130,130,131,131,129,128,128,129,127,124,122,122,124,127,129,130,131,131,131,132,133,134,135,137,140,142,142,140,138,136,134,134,137,138,138,140,142,140,140,140,137,135,134,132,131,132,134,134,134,133,131,127,125,125,127,129,130,131,133,133,134,134,135,135,137,139,139,138,138,139,139,137,133,132,133,136,138,139,137,136,136,137,136,136,141,144,141,138,136,139,141,142,141,138,134,135,138,141,142,139,135,133,134,134,136,138,141,142,141,142,144,140,134,131,132,136,137,138,140,141,140,136,132,129,125,125,127,127,125,124,126,129,129,126,124,122,122,123,122,121,122,125,126,124,123,124,127,130,130,129,129,128,128,127,127,128,129,129,129,131,134,135,136,136,135,131,127,126,128,131,132,131,129,128,127,126,125,123,121,121,122,123,123,122,120,119,119,119,119,118,118,119,120,122,124,125,123,121,120,121,123,125,124,124,124,122,122,122,122,120,119,120,122,123,124,125,126,125,122,120,120,120,121,123,124,123,121,119,119,121,122,121,120,122,123,123,122,122,122,121,121,122,124,123,121,120,120,122,123,123,123,123,123,125,127,127,127,127,128,131,132,132,131,131,129,128,129,130,128,125,124,124,120,115,116,124,130,131,131,132,132,129,125,126,127,128,129,129,128,127,127,130,133,135,136,135,133,132,136,140,142,140,138,136,134,132,133,135,137,138,141,141,139,137,137,139,140,139,140,140,134,132,135,137,138,140,143,144,140,141,144,143,139,140,141,143,147,148,144,145,149,146,143,143,146,146,142,139,140,144,149,151,149,146,145,145,145,144,143,141,140,139,137,139,144,144,144,149,152,151,150,151,151,148,145,143,142,141,143,144,142,143,147,149,148,146,145,146,149,153,155,157,156,154,151,150,149,152,154,152,149,150,153,153,155,156,156,null],[132,134,133,133,134,135,134,134,135,136,137,138,139,138,137,137,138,138,137,137,137,136,135,135,137,136,134,131,131,132,134,136,136,133,132,131,130,129,129,128,129,131,133,134,132,131,129,127,125,126,130,133,134,133,135,137,137,134,135,137,139,140,139,135,134,138,139,136,132,132,135,137,137,137,137,135,131,126,123,122,122,122,119,117,120,125,128,131,133,134,133,131,131,133,137,139,139,137,135,134,135,136,135,134,133,131,130,129,129,129,129,130,129,126,122,121,123,126,129,131,133,133,133,132,133,134,135,137,140,141,141,138,136,135,135,136,136,137,139,141,140,138,139,140,140,139,137,135,134,137,140,139,137,135,132,128,126,126,127,127,128,131,133,133,131,131,131,131,133,134,136,138,138,139,137,133,133,135,137,138,138,138,137,136,137,138,136,135,137,138,137,136,135,137,138,140,140,136,132,132,136,142,142,139,134,133,133,135,137,141,143,143,141,142,144,141,135,133,135,137,137,137,139,140,138,136,133,130,127,125,125,126,126,127,129,131,131,129,128,126,123,123,122,121,123,126,126,124,123,124,126,129,130,130,130,129,128,127,128,129,129,128,128,131,134,134,135,137,136,133,128,126,127,129,130,129,128,127,125,123,123,121,119,121,123,125,126,124,122,121,121,120,118,117,116,117,119,122,125,126,125,123,121,120,122,124,124,123,122,122,122,123,123,122,120,119,121,123,124,124,125,125,122,121,121,121,122,122,123,124,121,118,118,119,120,120,119,120,121,122,123,123,123,123,122,122,123,122,120,120,120,122,123,124,124,124,124,124,125,126,125,126,128,129,128,128,129,130,129,128,129,130,125,119,119,118,117,114,117,125,129,130,131,131,130,127,124,124,125,127,126,126,127,127,129,132,133,134,134,132,130,131,135,138,139,138,139,136,131,130,134,137,138,137,138,139,138,137,136,136,137,140,140,136,132,131,133,135,139,143,145,144,142,141,143,141,138,137,139,141,144,144,144,145,147,145,141,139,141,142,141,138,138,143,148,150,148,145,143,143,146,147,145,140,139,141,142,145,150,148,146,151,155,155,153,150,150,149,147,143,140,142,143,142,140,141,143,144,144,145,146,146,150,153,154,153,152,151,149,149,150,153,153,150,148,148,151,155,157,157,155,null],[133,135,135,134,136,137,135,134,136,138,137,138,139,137,136,136,138,137,135,136,138,137,135,134,135,135,133,132,133,133,134,135,135,134,133,131,129,128,129,132,132,130,131,133,134,133,130,127,124,123,126,130,133,134,136,136,134,133,134,137,139,140,139,136,137,140,139,136,134,134,135,137,137,135,134,133,131,128,124,125,126,125,122,119,119,123,127,130,130,131,130,129,131,134,138,140,141,138,136,136,137,135,133,132,132,131,130,130,132,133,132,132,133,129,124,122,123,125,128,131,133,133,131,130,130,131,132,134,137,140,140,138,136,136,137,138,137,138,141,143,141,137,137,139,140,140,138,136,136,138,141,140,138,135,133,129,126,126,126,126,127,129,131,130,129,129,129,129,130,131,133,135,135,135,134,132,134,137,138,137,138,138,138,136,136,135,133,132,132,132,134,136,137,138,137,135,133,130,129,132,137,140,141,138,135,133,134,137,139,140,141,141,140,142,143,141,138,137,138,137,135,135,138,138,137,134,133,131,128,125,124,125,127,129,131,131,130,129,130,129,127,125,124,123,124,126,126,127,127,126,126,126,128,130,131,130,128,126,127,129,129,128,129,131,132,132,132,134,135,133,129,126,126,128,130,128,125,123,121,121,122,120,119,119,123,128,129,126,125,123,120,119,118,117,117,118,119,121,123,125,125,125,123,121,120,121,124,124,123,123,124,125,125,124,121,119,120,122,123,123,123,124,124,123,122,121,121,121,122,123,122,120,118,118,119,121,121,120,120,122,123,123,124,124,124,123,121,120,119,120,121,121,121,122,123,123,123,123,124,124,125,125,126,126,126,126,126,126,127,128,129,129,124,118,116,115,115,115,119,125,128,129,130,129,128,126,125,123,124,125,126,126,126,127,128,129,130,130,131,130,128,129,132,132,132,133,135,133,129,130,135,137,136,136,138,139,139,137,135,134,135,136,136,134,134,134,134,135,137,140,141,140,139,140,142,141,139,139,140,140,142,142,145,145,144,142,140,138,139,140,140,137,138,143,147,147,145,144,142,143,146,149,147,142,139,141,144,149,152,150,148,149,154,155,154,150,148,149,148,142,139,142,143,143,143,143,142,143,145,148,148,148,150,152,152,149,148,148,150,153,154,154,152,149,146,146,150,154,154,153,154,null],[135,136,136,135,136,137,137,135,138,139,139,139,138,136,135,135,137,135,132,133,135,134,133,132,134,136,134,134,136,136,135,135,135,135,134,132,130,128,130,134,133,129,129,131,133,133,131,127,124,122,123,126,130,133,133,133,132,132,134,135,137,139,138,137,138,139,138,137,136,136,137,138,137,134,133,133,133,131,129,130,130,128,125,122,122,125,127,127,126,127,129,131,133,135,137,139,141,139,137,136,135,134,133,132,132,131,130,132,135,136,133,133,135,134,129,124,123,125,128,130,131,130,129,128,128,129,129,131,134,138,140,140,138,138,139,141,140,140,142,145,143,138,136,138,139,139,138,136,136,138,139,139,136,135,135,132,127,125,125,126,127,127,128,127,126,127,128,128,128,129,130,131,132,131,130,132,135,138,137,136,137,139,139,136,134,133,132,131,131,132,135,138,139,136,133,130,128,127,129,133,136,137,137,136,135,134,136,138,139,139,139,140,140,142,142,141,140,140,138,135,132,133,136,137,135,133,132,131,128,125,124,126,128,131,132,130,128,127,129,129,127,126,125,123,124,125,126,128,129,129,128,125,126,129,131,131,128,126,127,130,131,131,131,130,130,130,131,132,133,133,131,128,126,127,129,126,122,120,121,122,123,122,121,120,124,129,130,127,127,123,118,118,119,119,119,119,120,121,122,124,125,125,123,121,118,118,123,125,124,124,125,126,126,126,123,120,120,121,123,122,123,124,126,125,123,121,121,121,121,122,123,122,119,118,119,121,120,119,119,120,121,122,122,124,125,123,121,120,120,121,120,120,119,120,121,122,122,123,124,125,125,125,124,124,125,125,124,124,125,126,127,126,124,121,119,117,118,119,121,125,126,128,128,127,126,126,125,124,124,125,125,126,126,127,127,126,126,128,129,128,127,128,129,127,126,128,129,129,128,131,135,135,134,135,137,138,138,136,133,133,134,134,134,135,137,138,137,136,136,139,139,137,137,140,143,144,143,143,142,142,142,143,146,146,144,140,138,138,140,139,138,137,140,144,146,143,141,142,141,143,147,148,146,142,138,139,142,146,147,147,147,148,150,152,152,149,147,146,145,142,140,142,143,144,146,145,144,147,150,151,149,148,150,151,149,146,144,145,148,152,154,153,151,149,148,147,148,150,151,152,154,null],[136,137,137,136,135,136,137,137,137,137,137,136,135,134,134,134,134,132,130,131,131,131,131,131,134,136,136,136,138,137,137,136,136,136,136,133,131,130,131,132,131,129,129,130,132,132,131,129,126,123,122,124,128,129,129,131,132,132,131,131,134,136,137,138,139,138,138,138,138,139,140,139,137,135,135,136,136,135,134,134,133,130,127,126,127,128,127,126,127,129,132,135,136,135,136,138,140,139,137,136,135,136,137,136,134,132,131,133,136,135,132,131,135,136,134,128,124,125,127,128,128,127,127,128,128,128,128,129,132,136,139,141,140,138,140,143,142,143,145,145,144,141,138,138,137,138,137,135,135,138,139,137,135,136,138,135,129,125,125,127,128,127,126,125,125,126,127,126,127,128,128,129,129,128,128,131,135,137,136,134,136,139,139,136,134,134,134,134,134,136,138,138,136,132,129,129,129,130,132,135,136,135,134,135,134,136,138,138,137,137,139,140,140,140,140,140,139,138,135,133,131,131,133,134,133,131,130,130,127,124,125,128,130,132,131,129,127,127,127,126,125,124,124,124,123,124,125,127,129,130,130,127,126,128,130,131,130,130,130,131,133,134,132,129,128,129,130,130,131,132,132,129,127,127,126,123,122,121,122,124,125,126,127,125,126,129,129,128,128,124,118,118,119,119,119,120,122,123,123,123,124,123,123,120,117,117,121,123,123,124,125,126,127,127,125,122,120,121,123,123,125,126,126,125,123,122,122,121,121,121,123,122,120,120,120,118,118,118,119,119,119,118,119,121,123,122,122,122,122,121,120,119,119,120,120,120,121,123,124,125,126,125,125,125,125,125,125,125,124,124,124,124,125,124,123,123,123,123,123,124,125,126,127,128,127,125,124,126,127,126,125,125,127,127,126,125,126,127,129,129,128,128,127,126,124,124,124,125,128,131,134,133,132,133,134,135,136,134,131,132,135,137,137,136,139,140,139,138,139,142,142,139,138,141,144,146,146,145,144,144,144,145,145,147,146,141,137,138,139,138,138,139,142,143,143,141,139,140,140,143,146,146,142,138,137,138,139,140,141,143,146,148,148,148,148,147,143,141,142,144,144,143,144,144,145,146,148,152,153,151,148,146,147,148,147,145,143,143,145,147,148,149,149,150,152,151,149,149,152,154,154,null],[136,138,136,135,134,135,136,136,134,135,135,132,130,131,132,130,130,130,131,132,132,132,131,130,132,134,135,136,137,137,136,136,137,137,135,133,132,132,132,131,130,130,130,130,130,131,132,131,129,125,124,126,128,127,125,128,131,130,129,130,133,135,136,139,140,138,138,139,139,140,141,138,136,137,138,138,135,134,134,134,133,130,127,127,129,129,128,129,131,131,133,136,135,134,135,137,139,139,138,137,137,138,139,137,133,131,132,134,136,135,132,131,133,137,137,131,125,124,126,127,126,126,127,129,129,128,128,131,134,137,138,139,138,137,139,142,143,145,147,147,146,145,142,138,137,138,139,136,133,135,135,134,133,135,137,134,128,126,128,130,129,127,126,126,127,127,126,125,126,127,127,128,128,128,129,130,132,133,133,132,133,135,136,135,135,135,135,136,137,137,136,134,132,130,131,133,134,134,135,136,137,137,137,136,136,136,137,135,134,134,137,138,138,137,136,136,135,133,133,133,133,131,130,131,131,129,127,127,126,126,128,130,131,131,130,128,128,128,126,125,124,124,124,125,124,123,124,126,128,131,131,129,127,128,130,132,133,132,131,132,133,133,130,128,127,128,128,128,130,132,132,130,128,127,125,124,124,123,123,125,127,129,131,129,127,127,129,130,129,125,120,119,120,119,118,120,122,124,123,122,122,123,123,121,118,118,120,121,122,123,125,126,127,127,126,122,119,120,123,125,127,128,127,125,124,124,124,122,120,120,121,122,121,122,122,120,120,121,122,120,118,116,117,119,120,120,121,122,122,121,119,119,120,120,121,120,120,121,122,124,125,125,124,124,125,125,124,124,123,123,124,125,125,125,126,126,126,125,125,125,124,124,126,128,128,126,125,127,128,128,124,124,126,127,126,125,126,128,129,129,128,128,127,125,123,122,123,125,128,131,132,131,131,133,134,135,135,132,130,133,137,139,138,137,139,140,140,140,141,143,143,142,142,142,143,143,143,144,144,143,142,142,142,144,144,139,135,137,138,137,139,142,143,141,139,140,139,138,139,142,144,144,139,136,136,139,140,141,143,146,147,147,145,143,143,141,139,138,139,143,146,146,147,147,146,148,151,152,152,150,149,147,144,143,144,145,145,146,146,145,145,145,148,152,155,154,151,151,154,155,153,null],[135,136,135,133,133,133,133,132,130,132,134,130,127,130,131,130,129,130,132,135,136,136,134,131,130,130,133,134,135,136,135,135,136,137,134,132,131,131,133,132,132,131,131,131,130,132,133,132,130,128,127,128,132,130,127,128,129,128,130,132,134,135,136,139,140,139,139,139,140,141,140,137,135,136,138,138,134,132,131,131,131,129,128,128,129,130,131,133,134,133,133,134,134,133,135,137,140,140,139,138,137,137,136,134,131,130,133,136,136,135,134,134,135,137,137,131,126,124,125,125,124,125,128,130,129,128,129,133,135,136,135,135,135,135,137,139,141,145,147,147,146,146,143,137,135,137,140,138,134,132,132,133,133,133,133,129,126,128,131,132,130,128,128,129,129,128,127,126,126,126,127,127,128,129,130,130,130,130,130,131,132,132,134,136,136,135,135,136,136,134,131,130,130,131,135,138,138,137,137,139,141,142,142,142,140,138,136,134,132,133,134,135,135,135,135,134,132,131,132,135,135,132,129,127,128,127,126,125,126,129,131,131,131,130,128,127,129,129,127,125,125,126,126,125,125,125,125,125,128,130,132,131,130,130,131,133,134,132,131,132,132,130,128,128,128,127,126,127,129,130,131,131,130,128,126,126,125,123,123,124,127,130,130,129,127,127,129,131,129,126,124,122,120,118,118,120,121,122,122,121,122,123,124,122,118,117,118,120,122,122,123,125,127,127,125,121,119,119,123,125,128,128,127,125,125,126,125,123,121,119,120,122,123,123,124,124,124,125,125,123,119,117,118,120,121,120,120,120,120,119,119,119,119,119,120,119,119,119,120,122,123,123,122,122,124,124,123,122,122,123,125,125,124,124,125,125,125,125,126,126,125,125,125,128,129,129,128,128,129,129,127,125,126,127,127,127,127,128,128,128,128,128,127,124,123,123,125,126,129,131,131,130,130,133,135,135,134,131,131,134,137,139,139,138,140,141,141,142,142,141,142,144,145,144,142,139,139,141,142,139,137,137,137,139,140,138,135,138,138,139,142,144,142,137,136,139,138,136,138,140,140,140,138,137,138,141,143,146,148,150,148,144,141,140,139,138,138,138,139,142,146,147,149,150,150,150,152,150,148,149,150,148,143,140,142,145,146,150,151,148,145,144,147,151,154,154,154,154,154,153,151,null],[131,132,131,130,129,129,129,129,128,128,130,130,130,132,133,133,132,133,134,136,137,137,136,134,131,129,131,133,134,135,135,136,136,136,134,132,131,132,134,135,135,133,132,132,131,132,132,133,132,131,129,130,133,134,132,129,128,128,132,135,134,133,133,136,137,138,138,139,140,140,140,136,133,133,136,139,136,131,129,128,129,130,129,129,130,131,132,135,135,134,134,136,135,133,135,139,142,141,139,137,134,132,132,131,130,133,135,137,137,136,137,138,138,137,135,131,128,126,125,124,123,124,126,129,129,128,129,131,132,131,129,130,132,133,134,136,138,141,143,143,142,142,139,135,132,134,138,140,137,134,135,136,134,131,129,127,127,130,133,134,132,131,131,131,130,129,129,129,129,128,127,127,128,129,131,131,129,128,129,131,134,134,135,136,138,137,136,134,134,132,130,131,131,133,136,138,138,139,140,141,143,144,146,146,143,140,138,136,135,135,134,132,133,134,136,134,132,131,133,135,135,133,129,126,125,126,127,127,128,130,132,133,132,128,125,126,128,128,127,126,126,127,126,125,126,127,127,127,127,129,131,132,133,134,133,132,132,131,131,132,132,131,129,129,129,127,126,127,129,129,129,129,130,129,127,125,124,123,122,123,126,128,127,128,128,128,129,129,126,125,125,124,121,118,118,119,120,120,120,121,123,125,125,122,117,114,115,119,122,122,122,124,126,125,123,121,120,120,122,124,126,126,126,126,127,127,125,122,120,120,120,122,122,124,125,126,126,126,127,126,123,121,121,124,124,123,121,119,118,119,120,120,119,118,118,117,117,117,119,120,121,121,121,122,123,123,123,123,123,124,125,124,123,124,125,125,124,124,125,125,126,127,126,127,128,132,133,131,131,133,131,129,128,128,130,132,131,129,128,128,128,127,127,126,127,127,127,127,130,132,132,131,131,131,132,133,133,132,132,135,137,139,140,141,141,142,145,144,142,139,140,144,145,144,142,138,136,137,138,136,136,136,136,138,140,141,140,141,141,143,144,143,141,135,133,136,137,134,135,136,136,136,137,140,142,141,143,147,149,148,144,140,139,140,139,139,141,142,143,143,144,145,147,150,153,154,153,149,146,147,147,145,142,141,143,144,147,151,153,151,146,144,146,148,150,153,155,155,153,150,149,null],[127,127,127,126,126,127,128,128,128,128,129,132,134,135,136,137,136,136,135,137,137,136,136,136,133,130,131,133,134,135,136,137,137,136,134,132,132,132,133,135,135,133,133,133,133,133,132,133,133,132,131,131,133,135,135,131,128,129,133,135,134,132,131,132,134,135,137,138,139,138,137,135,133,131,133,136,135,132,129,126,127,131,131,129,130,132,132,135,136,135,135,137,136,135,136,140,141,140,138,136,133,130,130,131,133,135,138,139,138,137,138,139,139,136,133,131,129,128,127,126,124,123,125,128,128,126,127,128,128,127,126,128,131,132,133,135,135,136,137,138,137,137,136,134,131,132,136,140,141,139,139,139,135,131,130,130,131,131,132,133,134,134,133,131,129,130,132,133,133,131,128,126,127,129,130,132,130,128,129,132,134,134,134,136,138,138,135,132,131,130,131,133,134,136,137,137,137,140,142,143,143,145,145,144,142,141,142,142,141,140,136,132,132,133,134,133,132,132,132,133,134,132,129,127,126,126,127,128,129,131,133,133,131,128,125,124,125,126,127,126,126,126,126,125,126,128,129,129,128,128,129,132,135,138,136,132,130,131,133,133,134,134,132,131,130,127,126,128,129,127,126,127,128,129,128,126,125,124,123,124,125,126,127,129,130,130,130,129,124,122,123,124,123,121,120,120,120,120,119,120,122,124,125,123,117,112,113,117,120,122,124,125,125,124,123,123,123,123,122,122,123,124,125,127,128,127,125,122,121,121,122,123,123,124,125,125,125,126,127,128,126,125,126,127,128,127,125,123,121,121,122,121,120,119,117,117,117,118,118,118,118,119,121,122,124,123,123,123,124,124,124,123,122,123,124,124,123,123,123,124,126,127,126,126,128,134,137,134,134,136,135,132,130,132,135,137,136,132,130,129,128,128,128,128,128,127,126,128,130,131,132,133,132,130,130,131,132,134,136,137,138,138,141,143,143,144,144,142,139,139,141,143,141,140,140,138,136,136,137,137,139,139,138,139,142,143,143,141,141,143,142,142,141,136,133,134,136,136,137,136,136,134,136,140,141,139,140,142,143,142,139,138,139,143,144,143,144,146,148,147,146,146,147,150,154,155,153,148,145,145,144,142,142,143,146,146,146,149,151,151,149,147,148,147,147,150,154,155,152,148,148,null],[126,126,126,126,127,130,131,130,131,130,130,134,137,137,138,138,137,137,137,137,136,135,135,137,135,132,131,132,133,135,137,137,137,135,133,133,135,133,132,134,134,133,134,136,135,134,133,134,133,132,132,132,132,133,134,132,129,128,130,132,132,131,130,131,132,133,135,137,138,137,135,134,133,131,130,132,132,132,129,127,128,132,131,128,130,133,132,134,135,136,136,136,137,136,137,139,139,138,137,136,132,131,134,135,136,137,139,140,139,137,136,136,136,134,131,130,130,130,130,129,126,125,126,127,126,125,125,126,126,126,127,129,130,131,132,133,133,133,134,134,134,133,134,134,132,132,136,139,141,142,141,139,134,132,133,135,135,133,131,132,134,135,133,129,128,131,134,135,135,133,128,125,126,127,129,132,132,131,131,132,132,132,132,134,136,135,133,131,129,131,133,134,136,138,138,137,137,140,143,144,143,143,141,138,136,139,143,146,146,144,139,133,132,131,130,131,131,131,131,132,132,131,129,129,130,129,128,129,131,133,133,130,129,128,125,122,123,126,128,126,125,126,126,125,126,127,129,129,128,127,127,131,136,138,136,132,131,134,136,135,135,135,135,133,132,130,128,128,128,127,125,125,127,128,129,128,127,126,125,125,124,125,129,132,133,131,131,130,125,121,120,122,124,123,121,120,121,121,120,120,121,122,125,125,120,115,115,115,118,122,126,127,126,124,124,125,127,126,124,121,122,124,125,127,128,127,125,122,122,123,123,123,124,124,124,125,125,125,126,126,127,128,128,128,129,130,131,130,127,125,125,124,123,123,121,120,120,120,118,117,118,120,122,123,124,124,123,123,124,124,124,123,122,122,123,123,123,123,123,123,124,125,125,127,130,135,137,136,135,136,136,135,134,136,139,141,139,136,135,133,130,129,131,130,127,124,124,127,129,130,131,134,134,131,130,131,133,136,139,140,139,139,140,143,143,143,140,136,135,138,141,141,137,134,137,138,137,138,139,140,141,141,140,141,143,143,142,139,138,138,138,141,141,137,134,134,137,139,141,140,137,136,136,138,138,137,137,137,138,138,137,138,141,146,148,147,145,147,151,150,149,149,150,152,153,153,150,146,143,142,142,141,141,145,148,149,147,146,149,151,152,152,152,150,149,150,153,156,153,148,147,null],[127,129,130,131,132,134,135,133,133,133,132,133,136,138,138,137,136,136,135,136,134,133,136,138,138,134,131,130,132,135,136,136,136,134,134,135,137,136,134,135,135,134,136,138,137,136,135,134,134,133,132,131,132,133,133,132,129,128,127,128,129,130,129,130,131,133,136,138,139,137,136,134,134,134,132,129,129,130,129,128,129,133,132,128,129,133,134,134,135,137,137,136,138,139,138,138,139,138,135,134,132,134,137,138,138,138,138,138,138,137,134,132,132,131,130,130,132,133,134,132,129,128,128,127,127,127,128,128,128,128,129,130,130,131,132,133,134,134,133,132,131,131,132,133,132,134,137,140,140,140,139,137,134,132,133,135,136,135,132,131,133,133,130,127,127,132,134,133,132,131,128,126,125,126,128,131,132,132,131,131,131,131,132,132,132,132,132,131,132,134,135,135,137,140,140,139,138,141,144,143,142,140,135,131,132,136,141,143,144,144,141,135,132,130,130,131,131,131,131,132,132,130,130,132,133,133,131,131,133,134,132,130,128,125,122,121,124,128,129,127,126,127,126,125,126,127,128,129,129,127,128,131,136,138,136,133,133,136,137,135,135,136,136,134,134,132,130,129,128,128,127,127,127,128,128,128,128,127,126,126,124,125,129,133,133,131,130,130,126,122,120,120,122,122,121,120,120,122,122,121,121,122,124,125,122,120,120,118,118,121,125,126,126,123,122,124,128,127,123,122,122,125,126,127,128,128,126,124,124,124,124,124,124,123,124,125,126,125,124,124,125,126,127,128,129,131,133,133,132,130,129,129,128,126,125,124,124,123,120,119,120,122,124,125,125,126,125,124,125,125,125,125,124,124,125,125,124,123,123,123,122,123,124,127,130,133,134,135,133,134,136,138,140,142,142,141,139,138,140,137,132,132,134,132,127,122,122,125,128,129,131,135,136,132,131,132,135,137,139,141,141,141,139,139,140,140,137,135,135,137,140,138,133,131,136,139,139,140,141,142,141,139,140,139,140,141,140,136,134,134,136,137,138,136,133,135,138,140,142,142,141,140,140,138,138,140,138,137,137,138,139,141,144,146,147,147,147,148,149,148,147,148,151,153,151,148,146,143,141,140,141,142,143,145,147,150,151,149,149,151,153,155,155,154,153,153,155,156,153,149,148,null],[129,132,134,136,136,137,136,135,135,135,134,131,132,135,135,133,134,134,134,136,136,136,137,138,138,135,132,129,131,134,135,135,134,134,135,137,139,138,137,136,136,136,137,137,136,136,136,135,135,134,133,132,133,133,132,133,132,130,127,126,127,128,128,129,131,134,137,139,139,139,138,136,136,136,133,130,129,128,129,130,133,135,132,129,129,132,134,135,134,137,138,137,138,139,138,140,140,138,135,133,134,136,137,139,140,140,138,136,137,137,133,130,129,130,130,131,134,136,134,132,132,131,129,129,129,131,132,132,130,129,130,130,130,130,131,133,136,136,134,132,131,130,130,130,131,134,138,139,137,137,137,136,135,133,132,134,136,137,134,132,132,131,128,126,127,131,134,132,130,130,129,127,125,126,128,130,131,131,131,131,131,132,133,132,131,132,133,134,135,136,136,136,136,138,139,139,140,142,143,141,139,137,134,132,133,135,137,139,142,144,142,138,133,132,133,133,132,133,135,135,134,132,133,134,135,136,135,134,133,132,131,130,127,124,122,123,127,131,130,129,128,128,126,126,127,127,127,129,131,130,129,132,136,139,137,135,135,137,136,134,134,136,134,132,132,132,131,129,128,128,127,127,127,126,125,125,125,125,126,126,124,124,127,131,133,132,131,130,128,125,122,120,121,121,120,119,119,120,122,122,121,121,123,124,123,123,124,122,119,119,122,125,125,122,120,123,127,127,123,122,124,126,127,127,127,127,126,125,124,123,124,124,123,122,123,124,125,124,123,123,124,125,125,127,129,130,131,133,133,133,133,132,131,129,128,128,126,124,123,123,124,125,126,126,126,127,128,128,127,128,129,128,126,127,130,129,127,125,126,126,126,125,124,125,128,131,132,132,131,133,137,140,142,143,141,137,136,138,141,141,137,135,135,134,129,123,123,125,126,129,133,136,136,133,133,135,135,135,137,140,141,141,138,136,137,138,137,135,135,136,138,136,130,129,135,139,140,141,141,141,139,137,137,135,134,136,136,133,131,132,133,133,134,132,133,136,138,138,139,141,143,145,144,142,142,144,142,140,141,141,142,145,147,146,146,147,149,148,146,144,144,146,150,153,149,145,143,140,139,140,141,143,147,147,146,150,155,155,152,152,154,156,155,155,156,155,155,155,153,150,149,null],[128,132,134,135,134,134,134,134,137,137,134,131,130,131,131,131,132,135,136,138,139,139,137,136,137,136,133,130,129,132,133,133,134,135,136,137,137,138,139,137,137,138,137,135,133,134,136,136,136,135,134,134,135,133,132,135,136,134,130,127,128,129,128,128,130,133,136,137,139,139,138,137,137,134,133,133,130,128,128,132,136,136,133,130,129,129,132,133,134,136,137,138,137,138,139,141,141,138,135,135,136,137,137,138,140,141,139,137,136,136,132,130,131,133,132,132,135,136,134,133,133,131,130,131,132,134,135,134,131,130,129,129,129,128,130,133,135,135,134,133,132,131,129,128,130,134,136,135,133,134,136,138,138,136,134,134,136,137,135,132,132,132,129,127,129,133,135,135,134,133,131,129,128,128,129,129,129,130,131,131,131,133,133,133,134,135,136,136,136,136,136,136,135,135,136,138,140,140,140,139,137,136,137,138,138,137,137,139,143,144,143,139,136,135,136,135,135,136,137,137,137,135,135,134,134,137,137,135,132,129,129,128,127,127,126,127,130,132,132,130,129,128,127,127,128,127,127,130,133,132,131,132,135,138,138,137,135,136,134,131,132,134,132,129,128,129,129,128,127,126,126,124,123,124,123,123,124,125,127,127,125,125,126,128,130,133,133,132,131,128,123,122,122,122,121,119,119,119,120,121,120,121,122,122,122,123,124,123,120,118,120,123,124,122,120,123,127,127,124,123,124,126,126,125,125,125,126,125,123,123,124,124,122,122,122,122,122,122,123,124,124,123,123,126,129,129,130,131,132,132,133,133,132,130,129,129,127,125,125,126,128,128,128,128,127,129,132,131,130,132,133,131,129,129,133,134,131,130,131,133,133,130,126,125,128,131,131,130,131,136,138,138,138,137,136,134,134,137,142,143,141,139,138,137,133,127,124,125,126,129,132,134,134,134,135,136,134,133,135,137,138,137,135,135,138,137,135,133,134,136,136,133,128,128,134,138,139,140,139,138,138,138,135,131,129,131,131,131,130,131,131,131,131,130,132,137,138,136,136,139,144,147,147,145,145,147,145,144,146,146,145,148,149,147,147,148,148,146,144,143,145,147,149,149,147,143,141,140,140,141,143,145,150,151,148,150,155,157,156,153,154,154,154,155,157,155,154,153,152,150,148,null],[127,129,131,131,130,131,132,134,136,135,133,130,130,131,131,131,133,136,136,136,136,136,136,136,137,137,135,132,130,131,132,133,135,136,136,135,134,138,139,138,137,137,135,133,132,133,136,138,137,136,134,134,137,136,135,137,138,136,133,131,131,131,130,130,130,131,133,135,138,138,136,137,137,134,133,135,134,131,128,131,135,135,134,133,130,127,128,131,134,136,138,138,137,137,138,140,140,138,137,138,138,137,136,137,139,141,140,136,135,133,131,130,133,136,136,134,135,137,136,135,133,131,131,134,135,135,136,136,133,130,128,129,129,128,129,131,132,133,133,134,133,132,129,129,133,136,136,133,130,131,134,137,139,138,136,136,137,137,136,134,134,133,130,128,130,133,137,139,138,136,134,132,131,132,131,130,129,129,129,130,130,131,132,134,136,137,136,136,136,135,135,135,135,135,135,137,137,137,136,136,136,136,138,140,140,140,141,142,143,143,142,139,138,138,139,137,136,136,137,137,137,136,134,133,134,137,137,134,131,128,127,127,127,129,129,130,132,134,133,130,128,128,129,129,129,128,128,129,131,133,134,133,134,135,136,136,135,135,132,129,129,131,132,129,126,126,127,125,125,126,125,123,122,123,123,124,126,127,128,128,127,126,125,126,127,131,132,132,131,128,124,122,121,121,120,120,121,121,120,120,120,121,122,122,121,122,124,124,123,121,122,124,124,122,121,124,127,127,124,123,124,125,125,124,124,126,128,126,123,121,122,123,123,123,123,122,122,123,125,126,124,122,123,126,129,128,127,128,129,131,133,134,133,131,130,130,129,128,129,129,129,128,128,129,130,132,133,132,131,134,136,135,132,130,132,134,135,135,136,137,137,133,127,126,130,132,131,129,131,134,135,134,133,134,135,135,137,139,143,145,143,141,140,139,136,131,127,125,127,128,129,130,130,133,134,134,133,133,133,134,134,134,134,134,135,134,132,131,133,135,134,131,130,131,133,135,137,137,137,137,138,138,132,129,128,130,132,133,133,132,132,132,132,132,134,138,139,139,139,142,144,145,144,144,146,147,145,143,146,146,146,148,148,145,145,146,145,144,144,145,146,146,146,145,143,141,140,142,144,144,145,149,151,150,149,149,152,157,156,152,151,154,155,156,157,154,152,153,151,148,145,null],[128,127,129,129,128,129,131,133,134,133,131,131,132,133,132,133,135,136,135,132,131,132,135,137,138,137,137,135,133,132,132,132,134,135,134,133,134,137,139,137,136,134,134,134,133,134,136,139,139,137,135,135,136,137,137,137,136,135,135,134,133,132,132,133,132,129,130,134,137,137,136,137,137,135,134,135,137,135,129,128,131,132,135,136,133,129,128,129,132,136,138,138,137,137,138,138,138,138,138,139,139,138,137,137,139,140,138,136,133,131,130,131,132,136,138,136,136,138,138,136,133,132,135,137,138,136,137,138,135,131,129,129,129,128,127,127,129,131,133,134,133,131,130,133,137,139,137,134,132,131,133,136,138,139,139,139,137,136,136,136,135,132,129,129,131,134,137,139,139,138,136,135,135,135,133,131,129,129,129,128,128,129,131,132,135,136,134,134,134,135,134,134,134,136,136,134,133,133,134,135,135,135,136,137,138,141,143,142,141,142,140,138,139,141,141,138,135,134,133,134,135,134,131,131,133,135,134,131,129,128,127,127,128,129,130,132,133,134,132,129,127,129,131,132,131,130,130,130,130,133,135,136,135,133,132,132,133,133,131,127,126,130,132,131,128,127,127,126,127,128,126,123,123,124,125,128,130,130,130,130,129,128,126,125,125,126,127,129,129,128,125,121,119,119,118,119,123,124,121,120,121,122,122,121,121,122,124,125,126,126,124,122,120,120,121,125,127,127,125,123,123,123,125,125,126,128,129,127,124,121,120,122,124,125,124,123,123,124,126,126,124,122,123,126,128,127,125,125,128,130,132,134,135,133,131,131,132,133,132,131,129,127,128,130,131,133,134,133,131,133,137,138,135,130,130,132,136,136,137,138,136,132,128,130,134,132,129,130,131,130,130,130,132,134,137,139,140,143,145,145,145,143,141,141,139,134,128,125,128,127,125,125,128,131,131,131,132,134,133,132,131,132,134,133,131,129,130,132,133,133,131,130,132,133,132,133,134,134,135,138,137,134,130,129,130,133,135,135,135,134,134,134,135,135,136,138,142,144,144,144,143,141,140,142,145,146,142,140,143,145,143,144,143,140,140,142,141,141,144,146,146,143,142,141,141,140,141,144,147,148,150,152,150,147,147,148,151,155,154,148,149,153,157,158,156,153,152,153,150,145,141,null],[130,129,129,129,130,130,130,130,132,133,134,135,135,135,132,132,133,134,133,132,133,133,135,137,138,138,137,137,136,134,133,131,131,131,130,132,136,138,137,135,134,133,134,135,135,136,138,140,140,139,138,136,135,134,135,136,136,134,135,136,136,133,132,133,132,129,131,134,136,136,137,137,136,135,134,135,137,136,131,128,129,132,136,138,136,133,130,128,130,135,136,136,137,139,139,139,139,139,140,140,139,138,136,137,140,138,136,135,133,131,132,133,131,133,136,137,138,139,138,136,134,134,136,137,137,137,138,137,134,132,130,130,130,128,126,126,127,129,131,132,131,129,130,134,136,137,137,138,138,137,135,136,138,141,141,140,136,135,135,136,133,129,129,131,134,135,137,138,138,137,136,136,137,136,134,132,130,129,130,130,128,129,130,131,132,132,133,133,132,132,133,133,134,136,135,133,131,131,132,133,134,134,134,135,136,137,138,137,138,140,139,139,141,142,141,139,135,132,130,131,131,130,128,127,129,131,130,127,127,128,130,130,131,131,132,133,133,132,129,129,131,133,135,135,134,133,133,133,133,134,135,135,134,132,130,128,129,130,129,126,125,127,130,131,129,129,129,129,130,131,127,124,125,127,128,131,133,132,131,130,131,129,127,125,124,123,124,127,130,129,126,121,119,118,118,120,122,123,121,120,120,120,120,120,122,123,124,125,127,127,124,118,115,116,121,126,127,127,124,123,122,123,125,127,127,127,127,127,125,122,119,121,124,125,124,124,123,124,126,126,124,123,124,126,127,126,125,125,127,129,131,133,134,133,132,132,132,133,132,133,132,131,131,132,131,134,137,135,132,132,136,139,137,133,131,132,134,134,135,137,135,131,131,134,137,133,129,132,132,130,129,130,132,135,137,138,141,142,142,144,146,144,142,144,142,136,130,127,129,127,125,125,128,129,129,129,132,133,132,130,129,131,133,132,129,128,130,132,133,131,129,130,131,132,130,130,132,132,134,136,135,132,131,131,132,133,133,133,133,134,133,134,135,137,137,138,142,145,143,141,140,137,137,141,146,145,140,138,143,144,141,141,140,138,138,138,138,140,142,143,142,140,139,140,141,142,143,145,149,154,155,151,147,146,147,150,153,156,153,148,147,152,158,158,153,151,152,153,148,141,139,null],[131,131,130,132,133,133,132,130,131,133,136,137,137,135,131,129,131,132,131,133,135,135,136,137,138,137,136,137,138,135,133,130,131,131,130,133,137,137,135,134,134,134,134,134,133,135,138,139,140,141,141,139,136,132,132,135,138,137,136,137,138,136,134,134,133,131,132,134,135,136,138,138,137,137,135,134,135,135,133,130,130,132,135,138,138,136,132,130,130,132,133,133,135,138,139,140,141,141,141,141,139,137,137,139,141,139,135,133,132,133,135,135,133,133,135,138,139,138,136,134,134,136,137,136,136,138,138,137,135,133,131,132,132,130,128,127,128,128,129,129,129,129,132,136,136,136,138,140,142,141,139,138,140,142,142,139,135,134,135,134,133,131,132,134,135,136,137,136,136,136,135,135,136,135,134,132,130,129,130,130,130,131,131,131,130,130,132,133,132,131,131,132,133,134,133,130,130,130,132,133,133,132,132,133,134,134,133,134,137,138,137,137,139,141,140,138,136,133,130,130,129,128,127,126,127,127,127,127,126,128,131,133,134,134,134,133,132,130,128,130,134,137,137,137,136,135,134,134,135,135,134,134,134,133,130,127,127,128,129,128,128,128,129,129,129,130,131,132,133,132,128,126,128,129,130,131,132,132,130,130,130,129,128,127,125,123,124,127,130,129,125,123,121,120,120,121,121,121,120,119,119,119,119,120,122,124,124,125,126,126,123,116,113,116,121,126,127,125,123,123,123,124,126,127,127,126,125,126,126,124,121,121,122,123,124,125,124,125,125,125,125,124,123,125,126,126,125,125,127,128,129,130,131,132,131,130,129,129,130,133,135,135,134,133,131,132,136,135,132,132,134,137,137,135,133,133,135,134,135,137,136,134,134,136,136,133,132,134,134,133,131,131,132,135,138,140,139,138,138,141,145,144,142,145,144,138,131,128,129,129,127,127,127,128,128,130,131,132,131,129,129,130,131,130,130,129,131,133,133,131,130,130,132,131,129,128,130,131,133,133,132,132,133,133,131,129,127,127,128,128,128,131,134,135,134,135,137,139,139,138,139,135,134,138,141,141,139,139,142,142,140,138,139,140,141,140,140,140,141,140,139,138,140,142,144,145,146,148,152,156,153,148,147,149,151,153,154,156,154,151,147,149,155,155,151,151,153,154,148,141,140,null],[130,131,132,134,135,135,134,134,132,133,136,138,138,135,131,128,131,133,131,132,134,135,136,137,137,136,136,137,137,135,133,131,134,135,133,133,135,134,134,135,137,135,134,132,130,132,135,137,139,141,142,141,138,134,133,137,141,140,139,139,140,140,137,134,133,132,131,132,134,136,138,139,139,139,137,134,133,133,134,133,133,134,135,137,138,138,135,133,131,128,128,131,135,137,136,138,140,141,143,143,139,136,137,141,142,139,134,131,131,135,138,138,136,136,137,139,139,137,134,132,133,136,138,136,136,139,140,140,139,135,131,132,134,134,131,129,128,128,128,129,130,132,136,139,137,137,138,139,140,140,141,142,142,142,140,137,134,135,135,133,134,136,137,135,135,136,136,135,133,133,133,133,133,133,133,132,130,129,130,130,131,132,133,132,131,131,132,133,132,131,131,131,131,131,130,129,129,130,132,135,134,132,131,133,136,134,132,134,136,136,136,136,137,139,140,138,137,136,134,131,129,128,127,127,127,128,129,130,130,130,131,132,135,136,135,133,130,129,129,132,135,137,138,138,138,137,134,132,132,133,133,134,134,133,131,129,129,130,131,131,131,131,129,128,128,130,131,132,132,132,130,130,131,132,130,129,129,129,129,128,129,129,128,127,126,126,127,129,130,128,124,124,124,122,121,121,121,121,120,120,119,118,119,120,122,123,125,126,125,125,123,119,118,120,123,126,126,124,122,123,125,127,126,126,126,126,126,126,126,126,125,123,120,120,123,125,126,126,125,124,125,124,123,125,126,126,125,126,127,127,127,127,128,129,129,128,127,127,130,133,136,135,134,133,131,131,132,132,131,132,133,134,135,135,134,136,138,137,138,140,140,139,138,135,133,133,135,136,138,137,136,132,130,134,139,141,140,137,135,138,142,143,141,143,143,140,133,130,131,133,131,129,126,127,129,130,130,129,128,128,129,129,128,129,130,131,132,133,133,131,130,131,134,134,131,129,130,130,130,131,130,131,133,133,129,125,124,124,124,123,124,128,132,131,130,132,132,132,135,138,139,134,131,133,134,135,137,138,139,138,138,137,138,143,145,144,144,143,142,140,139,140,142,145,146,146,146,150,152,150,146,146,151,156,157,154,152,153,155,153,147,146,151,152,150,151,154,155,150,143,141,null],[131,132,135,136,135,133,134,136,134,132,135,137,137,136,132,129,132,134,134,133,133,133,134,135,135,135,136,137,137,135,133,133,137,139,137,134,133,133,135,137,138,136,133,132,131,131,132,134,136,139,140,141,141,139,138,140,141,141,141,140,139,138,136,134,134,134,130,128,133,137,138,139,140,139,137,135,136,135,133,133,135,136,136,136,136,137,136,135,133,129,128,131,134,136,136,136,139,140,142,143,139,137,139,141,140,137,134,131,131,135,139,140,138,137,138,140,139,136,134,132,132,135,137,136,137,141,143,143,141,136,132,132,135,136,135,132,129,127,128,129,132,133,135,138,138,138,139,139,139,139,141,143,141,139,136,134,134,136,136,135,137,140,139,136,135,135,135,133,132,132,133,133,132,132,132,132,131,131,132,131,131,133,134,135,134,133,133,133,132,131,132,133,131,129,128,129,130,131,133,136,136,133,133,135,139,138,136,135,136,135,136,138,139,140,141,139,137,137,136,133,132,130,129,129,130,131,133,134,133,133,133,133,135,137,137,133,130,130,132,134,134,135,136,138,139,138,133,131,131,131,131,133,133,132,132,132,132,133,133,133,133,132,129,128,129,130,130,131,132,132,132,133,133,132,131,129,128,129,129,129,128,128,126,124,125,128,131,133,131,127,123,123,124,121,120,121,122,122,121,121,120,118,118,121,122,124,125,125,125,124,123,123,124,125,126,126,126,124,122,123,126,127,126,125,126,127,127,127,128,129,128,126,122,121,121,122,124,125,125,125,124,125,124,125,126,126,125,126,127,127,127,127,127,127,127,128,129,130,131,134,135,133,131,130,130,129,130,131,132,133,133,133,135,137,137,138,139,139,140,141,142,142,142,137,131,131,134,137,141,142,141,136,131,132,136,139,139,137,136,138,141,143,141,141,142,142,136,133,136,137,133,130,127,128,130,129,129,127,125,127,129,129,126,127,129,131,131,132,132,130,130,134,137,138,135,133,131,130,130,131,131,130,130,129,128,127,126,126,126,125,126,128,130,130,130,132,130,129,132,136,135,132,129,131,133,134,136,137,137,136,136,137,138,141,144,147,147,146,144,143,142,141,143,144,145,145,145,148,148,146,145,149,155,159,157,152,149,151,154,153,148,148,153,152,148,150,155,156,152,146,143,null],[133,135,137,138,136,133,134,136,134,132,133,135,138,137,134,131,133,136,136,135,134,134,134,134,134,135,137,138,137,136,134,133,136,140,140,137,133,132,136,139,138,136,134,134,135,132,130,132,134,136,137,139,141,142,142,141,140,140,140,140,138,137,135,135,136,136,129,125,132,138,138,138,139,138,138,137,139,136,132,132,135,137,137,136,135,136,138,138,136,131,130,132,136,137,138,137,137,139,141,142,140,139,140,140,137,135,134,134,132,133,139,142,140,138,138,139,140,138,136,133,131,133,136,136,139,143,146,144,141,136,134,134,135,136,136,134,130,128,128,130,132,133,133,134,137,139,139,139,139,139,140,141,139,136,135,134,134,136,137,137,139,141,139,137,137,136,134,131,132,134,134,135,134,132,131,132,133,134,134,134,133,133,134,136,136,135,135,133,131,131,133,134,133,130,130,131,131,132,133,135,136,135,134,137,140,141,139,138,137,135,137,141,142,142,142,140,138,137,136,134,135,134,131,131,132,134,134,134,133,134,135,134,134,138,139,136,133,133,135,135,135,136,136,135,136,136,133,132,133,132,131,132,132,131,132,133,134,135,134,133,133,132,130,129,129,130,131,132,133,132,132,133,133,133,132,130,129,129,130,130,129,127,124,121,122,128,132,132,130,125,121,121,122,120,120,121,122,122,123,122,120,119,119,121,122,123,123,123,123,123,124,126,128,129,128,127,126,124,122,122,125,127,125,124,125,127,127,128,129,130,129,127,125,123,122,121,121,123,125,126,124,125,126,126,126,126,126,126,126,127,128,128,127,126,127,129,132,133,132,134,134,132,130,128,128,129,130,132,133,134,134,134,136,139,139,138,138,139,140,140,139,141,143,140,135,132,134,139,143,145,143,140,138,135,133,136,138,139,138,140,143,143,141,139,142,144,141,138,141,141,137,132,129,130,130,129,128,126,124,126,128,130,128,127,130,132,130,131,130,128,129,134,137,139,138,136,135,133,133,133,133,131,128,129,131,132,132,131,130,130,129,129,130,131,134,134,131,129,131,134,133,132,133,135,137,138,139,140,140,139,138,140,141,140,142,145,147,148,148,147,145,144,142,141,142,143,144,145,145,146,148,152,157,159,156,149,146,150,153,150,148,150,153,151,147,150,155,157,154,148,144,null],[135,137,139,138,137,137,137,136,133,131,133,136,139,138,133,129,132,136,137,137,137,136,136,137,136,136,138,138,138,137,134,132,134,139,141,139,135,134,137,140,140,139,138,138,137,133,130,132,134,134,135,137,139,142,143,142,140,139,138,139,140,139,138,138,139,136,129,125,132,137,137,138,139,139,139,140,139,136,132,134,136,137,138,138,137,139,141,142,139,133,130,133,137,139,139,137,136,139,143,143,141,140,142,140,136,134,137,138,135,133,136,141,142,139,138,138,141,142,138,133,131,134,137,137,140,146,147,142,136,134,135,137,138,137,136,134,131,130,129,129,131,133,132,132,135,138,139,138,137,138,138,138,137,137,138,138,136,136,137,138,139,140,140,140,139,136,133,131,133,136,136,136,136,134,131,130,132,134,135,135,136,135,134,135,137,137,136,133,131,131,132,133,134,135,135,134,132,131,132,133,135,137,136,136,137,139,141,142,140,136,137,139,140,140,140,141,140,139,136,136,136,135,133,132,133,133,133,133,132,133,135,135,135,138,141,140,138,137,137,137,138,140,138,134,133,133,134,135,136,134,132,132,132,131,131,131,133,135,135,134,133,133,131,130,130,131,134,135,135,134,132,131,131,132,132,130,130,130,130,129,128,127,125,121,121,127,128,126,125,123,121,121,121,121,121,121,122,123,124,123,121,121,121,121,120,120,121,121,123,124,126,128,129,129,128,128,127,125,122,121,124,126,125,124,124,126,128,128,128,129,128,127,126,126,125,123,121,121,124,125,124,124,125,126,127,127,127,126,126,128,130,130,128,126,126,128,131,131,130,131,133,133,131,128,128,130,133,133,133,134,135,136,136,138,138,137,136,136,137,136,136,137,140,142,141,137,137,141,144,143,141,141,143,141,137,137,137,138,138,141,144,143,140,139,142,146,145,143,145,145,141,137,132,130,130,130,128,127,127,127,129,133,133,133,134,134,131,130,129,129,129,131,134,137,138,138,139,139,138,135,134,133,132,133,135,137,137,136,135,133,130,129,131,133,135,135,133,131,132,134,136,137,139,141,142,143,143,145,145,143,142,144,145,143,143,144,146,148,151,150,148,147,145,142,142,144,146,148,148,149,151,154,159,161,157,149,145,149,150,147,147,149,148,147,148,151,154,156,155,150,143,null],[138,139,138,137,138,139,138,136,134,132,132,136,139,137,131,128,132,137,138,139,139,137,136,138,139,139,138,137,137,138,136,133,134,139,142,140,137,136,137,138,139,141,140,138,136,133,132,134,135,135,136,136,138,140,142,143,141,140,139,140,141,141,139,140,139,135,130,128,134,137,137,138,140,140,141,139,137,134,133,135,137,136,137,139,139,140,141,142,139,133,130,134,137,139,140,137,137,140,144,143,141,141,143,141,136,135,137,140,138,136,136,140,142,141,139,139,142,143,139,134,132,136,139,139,141,145,146,142,137,135,137,140,140,139,136,133,132,131,129,128,130,133,134,132,133,137,139,138,136,138,138,137,137,139,142,141,140,138,138,139,140,141,141,141,139,135,132,132,135,138,138,137,136,134,131,130,130,132,133,136,138,137,135,134,136,138,136,133,132,133,134,133,134,137,138,135,132,130,131,133,137,139,137,135,135,137,141,142,141,139,138,138,138,138,140,143,144,141,137,136,135,134,133,133,133,133,133,134,134,135,137,137,137,139,142,143,142,140,140,140,141,142,140,137,134,134,136,139,138,136,134,134,133,132,131,131,132,134,135,135,134,133,132,131,131,132,135,137,137,135,132,130,130,129,129,128,128,129,129,129,128,127,124,121,121,124,125,122,122,121,121,121,121,121,122,123,124,124,125,124,124,124,123,120,118,119,120,121,123,124,127,129,129,129,128,127,126,126,124,123,124,126,126,124,123,124,126,127,127,128,127,126,126,128,128,126,123,122,123,124,124,123,124,125,128,128,128,127,126,127,129,129,128,126,126,127,127,127,126,127,130,132,131,128,128,131,133,132,131,132,135,136,136,135,134,135,135,134,134,135,136,137,139,143,144,142,140,143,144,141,137,138,142,142,139,139,138,137,138,141,144,142,139,138,141,144,144,143,145,146,144,140,135,132,131,132,130,130,132,132,134,138,140,140,140,139,136,131,129,130,132,132,132,133,138,140,141,143,141,137,136,139,140,140,140,139,140,141,140,135,131,130,133,134,134,133,132,131,132,135,137,140,142,142,142,143,146,146,144,143,146,148,149,147,146,147,148,149,149,149,149,149,148,146,145,147,151,152,152,153,153,153,155,157,157,151,146,148,148,144,144,144,144,146,150,150,150,153,154,150,144,null],[141,140,137,137,137,137,137,137,135,133,132,135,138,136,131,129,133,137,139,140,139,136,135,137,140,141,138,136,136,138,137,134,136,139,141,139,137,138,137,135,138,141,140,136,134,133,134,136,137,136,137,137,138,140,142,143,142,141,140,140,140,140,139,139,137,134,131,132,136,138,138,139,140,141,139,137,136,134,134,136,138,137,137,139,141,140,139,138,136,133,132,134,136,138,139,139,140,143,144,143,141,142,144,141,135,134,137,140,141,140,138,139,142,142,141,141,141,140,139,136,134,137,140,140,141,144,146,145,141,138,139,141,141,139,136,134,133,131,130,129,130,134,135,134,134,136,139,140,139,140,141,139,139,140,142,143,142,141,141,140,141,143,142,139,136,135,133,133,136,139,138,137,136,133,131,130,130,131,132,135,138,139,137,135,136,138,136,134,134,138,139,135,134,136,137,135,131,129,131,135,139,141,138,134,135,138,139,139,140,142,141,139,139,139,142,146,146,143,139,136,134,133,133,133,133,134,135,137,138,139,139,140,140,141,143,144,143,142,143,142,140,140,140,139,138,138,140,140,138,137,136,135,134,134,134,134,133,135,137,137,136,134,133,134,134,133,134,135,136,134,132,130,129,127,126,125,125,126,128,128,127,125,124,122,122,124,125,123,122,121,121,121,121,121,122,125,126,125,125,125,126,125,123,121,118,119,122,123,123,123,126,128,130,129,128,126,125,127,127,126,125,126,127,126,124,123,124,124,126,128,128,127,127,129,129,127,125,124,123,123,123,123,124,125,127,127,127,127,125,126,126,127,127,126,127,128,126,125,124,125,126,128,128,127,127,129,131,130,129,130,133,135,134,132,131,132,134,133,133,135,137,138,139,141,143,142,142,142,142,140,136,135,136,137,138,140,139,138,139,143,145,142,138,136,138,141,140,139,141,144,145,142,139,137,135,135,134,135,137,138,140,143,145,145,143,142,140,133,129,132,137,137,133,132,137,140,140,141,140,138,140,144,144,143,140,140,142,144,143,138,132,131,132,133,132,130,130,132,133,135,136,139,140,139,138,140,144,144,140,140,144,148,149,150,149,150,151,149,146,146,149,150,151,150,148,150,154,154,152,153,153,152,149,150,154,151,147,146,145,142,140,142,146,150,151,147,145,149,151,149,146,null],[143,141,138,138,137,135,136,137,136,134,133,135,137,136,132,130,132,135,138,139,139,137,135,135,137,139,138,137,137,137,136,135,135,137,138,138,139,139,137,136,138,141,139,136,134,133,134,136,137,138,138,139,141,141,142,142,142,140,140,140,141,141,140,138,135,133,132,134,137,139,139,139,139,139,138,136,136,136,135,136,137,139,139,139,141,142,140,138,136,133,131,132,134,137,139,140,141,145,145,143,141,142,143,139,135,134,138,141,143,142,141,142,143,143,143,143,140,139,141,140,137,136,138,139,142,145,146,145,142,141,143,142,140,137,137,137,136,133,131,130,130,133,135,136,135,137,140,141,143,144,143,142,140,140,141,142,141,141,140,140,141,143,142,140,137,136,136,135,137,139,138,137,136,133,131,132,134,135,135,135,137,139,139,138,137,138,137,136,136,139,140,137,135,136,138,136,132,131,134,137,140,140,135,133,136,139,138,137,139,142,141,140,141,143,145,146,147,144,140,137,135,134,134,134,134,134,136,138,140,140,140,141,140,140,140,142,141,140,141,140,139,137,137,138,139,140,140,138,136,136,137,136,136,136,137,136,136,136,138,139,139,137,136,135,134,133,133,132,132,131,128,127,127,127,126,126,124,124,125,126,125,124,124,125,127,127,126,124,122,122,122,121,121,121,123,124,126,126,125,125,125,124,123,121,120,121,124,125,123,123,125,129,130,128,126,125,126,128,129,128,127,127,128,127,126,124,123,123,125,127,127,128,128,131,131,127,125,124,124,124,123,123,124,125,126,126,126,126,125,124,124,126,128,127,128,130,129,128,127,126,125,125,126,127,128,129,130,129,128,129,130,131,130,130,131,131,132,131,133,136,136,135,137,138,139,139,140,140,139,137,135,133,132,134,138,142,141,140,141,144,146,143,138,137,139,141,140,137,138,141,144,143,142,143,141,139,139,139,140,140,142,145,147,146,143,141,140,133,129,131,138,141,136,133,136,139,138,137,136,139,143,145,142,139,138,140,143,143,143,141,135,132,131,131,130,130,133,136,138,138,136,136,136,136,136,139,142,143,141,141,143,144,145,148,149,148,148,146,144,145,148,149,150,150,151,153,155,154,151,149,149,148,146,148,152,150,144,142,142,141,140,144,151,153,149,144,143,147,148,147,146,null],[144,142,139,139,137,135,136,136,135,134,133,134,136,137,135,132,131,133,136,138,140,140,139,136,136,137,139,139,138,137,136,135,134,135,135,137,139,139,138,137,138,139,138,137,136,134,133,134,136,138,139,140,143,143,142,141,140,139,139,140,140,141,140,137,133,131,132,134,137,139,141,140,139,139,138,138,138,138,136,135,136,140,141,140,141,143,142,140,136,133,132,133,135,137,139,141,143,144,144,143,142,142,142,139,136,135,137,140,141,141,142,143,143,143,143,143,140,139,142,142,137,135,137,139,143,147,147,144,141,142,145,142,138,137,138,140,140,136,133,130,130,132,134,136,137,138,140,142,143,143,142,141,140,140,141,142,141,141,140,140,140,141,142,142,141,139,138,138,139,139,138,137,135,132,130,133,137,140,138,136,137,138,140,141,139,137,136,137,139,140,140,139,137,137,137,136,133,133,137,140,141,137,133,132,137,139,138,137,138,139,140,140,143,144,144,145,145,143,141,138,136,135,135,135,135,134,135,136,138,139,140,140,139,136,136,138,138,137,137,138,138,137,135,135,137,138,138,135,133,134,136,136,136,136,136,136,137,137,137,138,138,137,136,134,132,131,131,130,130,128,126,125,127,129,129,128,126,125,125,125,125,125,127,130,132,130,127,124,123,123,122,121,121,122,123,124,125,126,125,124,123,124,123,121,121,123,126,126,123,123,126,129,130,128,126,126,128,130,130,129,128,128,128,128,126,125,124,124,124,125,126,126,127,129,129,125,122,124,126,127,125,124,124,124,125,126,125,125,125,124,123,127,130,129,129,130,131,131,130,128,127,126,128,130,131,131,131,130,129,130,129,129,130,131,132,132,132,133,135,136,134,132,133,135,135,135,136,136,135,134,133,133,134,137,141,143,143,143,141,141,144,142,137,138,142,145,143,139,137,139,143,144,145,146,145,144,143,144,144,142,143,146,148,146,142,139,138,135,133,132,137,142,139,135,134,137,137,134,134,137,141,141,137,134,137,141,143,141,144,144,138,133,131,130,130,132,135,138,141,141,138,135,134,136,138,140,142,144,143,145,146,143,143,145,147,148,147,145,143,147,151,151,150,151,152,153,152,151,149,147,145,143,143,146,148,145,141,140,141,141,142,146,150,150,146,143,143,145,145,144,144,null],[143,142,140,138,137,136,136,135,134,133,133,134,137,139,137,134,132,133,135,138,140,142,142,140,138,138,140,141,140,138,137,134,134,134,135,135,137,139,139,138,137,136,137,138,138,136,134,134,135,136,138,140,142,142,141,140,138,138,139,140,139,138,138,137,133,131,132,134,136,139,141,141,140,140,138,138,140,140,136,134,136,140,142,141,140,141,142,139,135,132,133,136,137,137,139,141,142,141,141,142,142,141,142,141,138,135,135,137,139,140,141,141,140,141,142,142,141,141,142,140,136,135,138,141,144,147,148,145,141,143,145,142,137,137,140,142,142,138,134,131,131,132,133,135,137,139,139,139,140,139,138,137,137,138,141,142,142,141,141,140,140,140,141,143,143,142,140,140,140,139,138,136,134,132,131,133,136,139,139,137,136,138,141,141,139,136,135,137,141,141,140,139,138,137,136,135,133,134,138,142,141,136,133,134,137,139,139,138,138,138,138,139,141,142,142,143,144,143,141,139,136,135,135,136,136,136,135,135,136,137,140,140,138,135,134,135,135,134,134,136,138,137,135,133,134,135,135,132,131,133,135,134,134,134,133,134,136,136,136,134,134,134,132,131,129,129,129,129,129,129,128,128,130,131,130,128,128,129,130,128,127,127,129,132,133,130,126,124,123,123,122,121,121,123,125,125,125,125,125,124,124,123,122,121,121,123,127,127,124,124,126,130,131,129,126,127,129,131,130,129,129,129,128,126,125,126,126,126,124,123,123,124,125,127,125,121,120,124,128,129,127,125,124,123,125,125,125,124,125,123,122,127,131,130,128,128,129,130,130,130,130,130,131,132,133,133,132,131,131,131,131,132,132,132,134,135,136,136,137,136,133,130,131,132,133,132,131,133,133,132,132,133,137,142,144,142,143,145,140,138,140,137,134,138,144,148,147,143,140,140,142,146,147,146,145,146,148,148,146,145,145,148,147,145,144,141,138,139,139,133,135,141,141,137,135,136,138,136,134,134,135,136,134,135,139,142,142,140,145,148,140,133,132,131,131,132,134,137,140,142,141,137,135,138,140,142,144,145,144,148,152,148,144,144,148,151,150,147,145,149,154,155,154,153,153,152,148,146,146,147,144,139,140,141,140,139,140,141,143,145,144,143,143,143,144,144,143,143,143,142,142,null],[141,142,140,137,136,136,137,136,133,132,133,135,138,139,137,133,131,132,134,137,139,142,143,143,142,140,141,140,140,140,137,135,134,136,138,137,135,136,137,137,135,136,138,141,141,139,136,135,136,136,137,138,139,139,138,139,139,140,140,140,137,136,137,137,135,132,132,134,137,139,140,140,140,140,137,138,142,140,134,133,137,140,142,142,141,141,141,139,134,132,133,135,138,139,141,141,139,138,140,143,142,140,141,141,138,135,133,134,137,139,140,139,140,141,142,143,143,143,141,138,137,137,139,142,144,146,147,145,143,144,145,142,137,136,139,142,141,137,133,131,132,133,133,134,136,137,136,136,136,134,135,136,135,135,137,138,138,139,139,138,139,141,142,143,143,143,141,139,139,139,138,136,134,134,133,132,133,136,137,137,137,139,140,139,139,138,137,138,141,142,140,138,137,137,135,133,133,134,137,141,140,137,135,135,137,139,141,141,140,140,140,140,141,141,141,143,144,143,140,138,135,135,136,137,138,138,137,135,135,137,139,140,138,136,136,136,135,134,134,136,136,135,133,133,133,133,133,132,132,133,134,133,132,131,130,130,131,132,132,131,130,130,130,129,129,129,129,130,131,131,129,129,131,132,130,130,131,132,133,132,129,129,130,131,130,128,126,124,123,122,121,122,123,124,126,126,126,126,125,125,125,124,122,121,121,124,127,128,126,124,126,129,131,130,127,127,130,131,131,129,129,129,126,125,125,126,126,126,125,123,122,124,125,126,123,120,120,125,128,129,129,127,124,123,124,125,124,123,123,123,122,126,130,129,128,127,128,128,128,129,131,131,131,132,134,134,133,132,132,133,135,136,135,134,134,135,136,138,138,137,133,130,130,132,132,131,130,132,131,129,129,132,138,142,141,139,142,146,141,136,135,134,134,141,145,146,146,146,145,142,141,144,146,145,146,148,149,148,145,143,143,145,144,143,145,144,140,142,142,135,134,139,140,139,137,137,137,138,136,133,133,135,137,139,139,141,140,139,143,148,143,136,132,132,133,134,135,136,139,141,143,141,139,139,140,140,142,143,145,150,153,151,147,148,152,154,153,150,149,150,153,154,154,153,153,151,148,144,142,144,142,137,137,137,137,138,141,143,144,144,142,139,139,140,141,142,142,141,141,142,143,null],[141,142,140,138,136,136,137,137,133,131,133,136,139,139,136,133,131,131,133,135,137,140,142,143,142,140,140,140,141,140,138,135,136,138,140,138,135,133,135,136,136,137,140,142,142,140,139,138,137,136,138,139,138,136,135,139,142,143,142,140,137,135,137,138,137,135,134,134,137,139,140,139,139,139,138,139,142,139,134,134,138,141,141,141,140,140,140,138,135,132,131,133,136,139,140,138,135,136,140,142,141,139,139,139,137,135,134,135,137,140,140,140,142,143,144,144,144,143,140,138,140,140,139,140,143,145,145,144,146,147,145,142,138,136,138,141,140,136,132,130,132,133,134,133,134,134,133,132,132,132,135,137,135,133,135,135,135,136,135,135,139,143,143,141,142,143,142,137,137,137,136,135,135,137,135,131,131,133,135,136,137,139,139,139,140,142,140,140,141,141,138,136,137,138,136,133,133,135,137,139,140,138,135,134,135,139,142,143,144,144,143,142,143,143,144,144,144,143,140,137,135,136,138,139,139,140,139,138,138,139,139,140,139,138,139,139,137,135,136,137,135,134,134,135,134,132,133,134,134,134,133,133,132,131,130,129,129,129,130,130,130,131,131,131,131,131,130,131,132,132,130,130,132,132,131,133,134,134,134,132,131,130,130,127,126,126,125,124,122,121,121,123,125,125,125,126,127,126,125,125,124,124,123,121,122,124,126,128,128,126,126,128,129,128,126,126,130,132,132,130,130,129,126,125,126,126,126,125,126,126,124,125,127,127,124,121,121,124,126,128,130,128,125,123,124,125,124,123,122,122,122,125,127,128,128,128,127,126,125,127,129,129,129,130,133,134,133,132,132,134,135,136,136,136,134,133,134,135,137,136,133,129,130,132,132,131,132,133,132,129,127,130,136,137,137,137,140,142,141,136,133,133,136,142,142,140,141,144,147,144,140,141,144,145,147,148,146,143,141,140,140,142,141,142,145,146,142,142,141,136,135,138,138,138,140,140,138,139,137,133,134,139,143,141,138,138,139,139,142,146,146,140,133,131,134,135,136,137,138,141,143,143,141,140,139,138,138,140,144,147,148,146,147,149,152,152,150,150,150,149,149,151,152,151,151,151,150,145,141,140,139,136,136,137,138,140,142,142,142,142,139,138,141,142,140,141,142,142,142,142,144,null],[140,141,139,139,139,137,137,136,133,132,133,135,138,139,137,135,132,131,131,132,134,138,139,138,136,136,138,141,142,140,137,136,137,139,140,138,136,135,136,137,138,139,140,140,139,140,141,139,137,138,141,142,139,135,135,138,142,145,143,141,137,135,136,138,139,138,135,134,136,140,142,140,138,138,139,141,142,141,138,137,139,142,140,138,136,137,138,137,133,132,132,133,135,136,136,135,135,136,138,140,141,140,140,139,139,138,136,136,138,140,140,141,143,144,144,144,144,143,141,140,143,143,140,139,142,145,145,145,149,150,146,141,139,139,141,141,140,135,131,130,132,133,134,133,132,132,132,131,130,131,133,135,136,135,136,137,138,137,136,136,138,141,139,139,141,144,142,137,135,135,135,135,137,138,135,131,131,134,134,134,135,136,139,142,143,143,141,141,142,141,139,139,140,140,138,135,135,137,138,140,140,138,134,132,134,138,141,142,144,143,143,144,145,145,145,145,145,143,140,136,135,137,139,139,139,139,140,141,141,141,140,141,141,141,141,141,139,137,138,139,137,135,136,137,136,134,134,135,135,134,134,134,134,133,132,131,130,131,132,133,133,134,133,134,134,133,131,130,131,133,132,132,134,135,135,137,136,134,132,132,132,131,129,125,123,123,125,124,122,121,122,124,125,123,124,126,125,124,123,122,122,123,123,121,121,122,125,129,129,128,128,129,129,127,125,126,130,133,133,132,131,131,128,126,127,127,127,126,128,129,128,127,128,128,126,122,119,121,124,128,129,127,125,124,124,124,124,124,124,123,123,123,124,124,126,127,125,123,124,126,127,127,128,130,133,133,132,131,131,132,132,132,134,135,133,132,131,131,133,135,133,130,130,131,133,134,135,135,133,132,130,130,133,133,134,136,137,136,137,135,133,133,136,139,138,135,137,141,144,142,141,142,144,145,145,144,140,137,138,142,145,145,144,144,146,147,144,143,140,137,136,136,136,137,140,142,142,141,137,134,136,142,146,143,138,136,139,143,145,145,146,142,134,132,133,134,135,137,139,139,140,140,141,141,139,138,137,138,140,141,140,141,143,146,147,148,146,147,148,150,150,151,151,151,152,152,149,145,141,140,139,137,137,139,141,141,140,139,140,141,139,141,145,145,142,144,147,146,144,143,144,null],[139,139,139,140,140,137,136,136,135,133,133,135,138,140,139,137,134,132,131,130,131,134,135,135,134,136,139,141,141,139,138,137,139,139,137,136,136,137,138,138,139,139,139,138,138,140,142,139,137,138,143,144,141,137,136,138,142,145,144,141,138,137,138,139,141,140,136,133,134,139,142,142,140,140,140,141,142,143,142,139,138,140,140,137,135,135,137,135,132,132,134,136,136,135,133,134,136,136,137,138,139,141,142,141,140,139,138,137,137,137,138,140,141,142,141,142,143,143,142,143,146,145,142,140,143,146,146,146,149,149,145,142,141,144,145,143,140,135,131,130,132,133,134,133,133,133,133,133,132,132,133,134,136,138,138,139,139,140,140,140,139,139,137,139,142,144,143,139,136,135,136,137,138,137,135,133,134,135,134,132,133,135,139,143,143,141,140,141,143,142,142,141,141,139,137,135,136,137,139,140,140,139,136,134,133,134,137,140,142,142,143,144,143,143,144,145,145,143,140,137,136,137,139,137,136,137,139,142,142,141,140,140,141,142,142,142,139,138,139,139,138,136,136,136,135,134,134,135,135,134,135,136,136,135,133,132,132,132,133,135,137,137,136,136,136,134,131,129,130,132,133,134,135,137,139,139,138,135,132,132,133,132,128,124,122,123,125,125,124,124,125,126,125,122,124,126,125,122,121,121,122,123,123,121,119,120,123,127,128,129,129,129,129,127,125,126,130,134,135,134,133,132,129,128,130,129,128,128,129,130,129,129,128,128,126,122,118,120,126,130,129,126,124,125,125,123,124,125,126,125,124,123,123,123,125,125,121,121,124,126,127,126,127,130,131,131,129,129,129,129,129,129,132,134,133,130,128,127,129,131,132,131,131,132,133,134,134,135,137,136,133,131,131,131,133,135,134,132,133,134,133,134,135,135,133,133,135,137,137,138,140,142,143,143,141,139,137,138,141,145,148,148,147,147,148,148,146,144,141,139,139,139,137,135,138,142,143,142,138,135,136,142,146,145,140,135,137,141,144,144,142,139,135,133,133,134,135,136,138,138,138,139,141,142,141,140,139,139,139,138,138,140,142,143,145,146,146,146,148,152,153,151,150,150,151,150,146,144,142,141,139,138,139,140,141,141,141,142,143,144,144,146,151,151,148,150,152,151,149,147,149,null],[138,138,138,138,137,136,137,137,138,136,134,136,139,140,139,138,136,134,132,130,129,130,132,133,135,139,140,140,139,137,137,139,141,139,136,134,135,137,138,138,138,138,140,139,138,140,141,139,138,139,142,144,142,139,137,139,143,145,143,140,140,140,141,141,141,140,136,132,132,137,140,142,142,142,141,141,142,144,143,139,137,139,140,138,137,137,136,134,133,134,137,139,138,136,134,135,137,138,138,137,139,142,144,143,140,138,138,136,135,135,136,137,138,138,139,140,141,142,143,145,146,145,144,144,147,149,149,148,147,145,144,144,145,147,146,144,139,134,131,131,132,134,135,135,135,136,137,136,135,136,135,134,135,137,138,138,139,142,144,143,141,139,139,141,142,143,143,141,139,139,138,138,137,136,134,135,137,137,134,132,134,137,139,140,139,138,139,142,143,144,143,141,138,136,134,133,134,136,138,139,140,142,140,137,134,133,134,137,141,143,144,142,139,139,142,144,144,142,140,139,137,137,137,136,134,134,137,140,141,139,138,138,140,142,143,142,140,138,137,137,137,134,133,134,133,133,134,137,137,136,136,137,138,137,134,132,132,132,134,137,138,138,137,136,135,134,132,130,130,131,133,135,136,137,138,138,137,135,132,131,131,130,128,124,123,123,126,127,126,126,128,127,125,124,126,128,126,122,121,122,124,124,123,122,120,120,122,124,125,127,128,128,129,128,127,127,130,133,135,136,135,132,129,129,131,131,129,128,129,129,129,129,129,129,125,122,120,123,129,132,129,125,123,123,124,124,124,125,127,127,126,124,124,124,124,123,119,120,124,127,128,126,126,128,129,128,127,126,127,127,126,127,130,132,130,128,127,126,127,128,130,130,132,133,132,131,131,135,139,139,135,132,131,132,132,133,132,132,131,132,133,135,135,133,132,132,133,134,134,135,137,140,140,139,138,137,139,143,146,145,145,147,148,148,147,147,148,147,144,141,142,144,140,136,136,140,142,142,140,139,137,139,143,147,144,137,133,135,140,142,140,137,136,135,135,135,135,135,137,138,137,139,142,143,142,140,141,143,142,141,141,142,144,144,145,147,149,150,150,153,153,148,146,147,147,146,143,143,142,140,139,140,142,142,140,142,146,149,149,148,148,151,157,157,153,152,154,156,155,153,156,null],[137,137,137,136,136,137,139,139,139,137,137,138,139,139,138,137,138,138,135,131,129,130,130,131,134,139,141,140,137,135,136,139,141,140,138,135,135,137,139,138,136,136,140,141,140,141,142,140,140,140,142,143,143,140,138,141,144,144,142,141,141,142,142,141,139,138,135,132,132,134,137,140,142,142,141,142,143,144,143,140,139,140,140,139,140,139,135,133,135,138,140,141,139,138,137,137,138,139,139,139,140,143,144,142,139,139,139,136,134,136,136,136,136,136,138,140,141,142,143,143,143,143,144,146,148,151,152,151,147,144,143,145,147,146,143,140,138,135,132,132,132,134,136,138,138,140,141,138,137,139,138,135,133,134,136,137,138,141,142,141,141,140,140,141,142,141,141,142,143,141,139,138,137,135,135,136,138,137,133,132,135,137,137,137,137,138,140,141,143,143,142,139,136,134,134,134,135,136,137,138,140,141,141,140,138,136,134,137,141,143,142,139,137,140,144,145,143,142,142,143,141,140,139,137,134,132,134,138,139,138,138,139,140,141,142,142,140,137,135,136,135,132,131,132,133,134,136,138,138,137,136,136,138,138,135,133,134,135,136,137,137,136,135,134,133,133,132,131,131,132,134,136,136,135,134,134,133,131,129,127,127,127,125,123,123,126,128,128,126,127,129,127,124,124,128,130,128,123,120,122,124,123,123,123,122,121,121,122,124,127,129,128,129,130,130,129,128,129,132,134,136,135,132,129,130,131,131,129,127,127,130,132,132,129,125,123,124,127,130,132,130,126,123,122,123,124,124,124,125,126,125,124,125,125,124,122,120,121,124,126,126,126,127,127,127,126,125,124,125,125,126,127,128,129,128,128,128,128,127,127,128,129,131,133,133,132,133,135,138,139,137,134,134,133,133,134,134,133,131,130,133,135,137,138,135,133,134,134,134,134,135,136,136,136,136,138,141,143,144,142,141,145,147,147,144,144,147,150,149,146,145,144,140,136,136,142,145,145,144,142,138,137,141,146,146,141,136,136,138,140,141,141,140,138,137,135,134,134,136,137,136,138,141,143,141,139,140,144,145,144,142,143,144,145,145,146,148,148,149,152,151,145,142,145,146,144,141,140,140,140,141,144,147,145,142,145,151,154,153,150,151,156,159,156,152,151,154,157,157,156,158,null],[136,135,136,136,137,140,141,141,140,138,139,139,139,138,136,136,138,140,136,133,130,132,132,130,131,136,139,138,135,134,136,139,141,141,139,136,135,136,138,139,137,137,139,141,141,142,143,142,142,142,143,142,142,139,139,141,143,144,143,143,143,142,141,140,139,136,135,133,133,134,136,138,140,141,141,142,143,143,143,142,142,143,142,139,140,138,134,133,136,138,140,140,139,138,139,139,138,139,140,141,142,142,141,141,141,142,140,137,136,138,137,136,135,136,138,139,139,139,140,139,139,141,144,146,147,149,151,151,147,144,143,144,144,142,138,136,137,136,133,132,132,133,136,139,140,142,142,139,138,140,140,136,133,132,134,137,139,140,139,139,140,141,141,141,141,139,139,142,144,143,141,140,139,138,137,137,138,137,133,133,136,138,138,137,138,140,141,142,142,142,141,140,138,137,135,135,135,137,138,139,138,138,140,143,143,140,137,137,139,140,138,137,138,142,146,146,144,143,144,144,143,143,142,140,136,133,133,136,137,138,139,140,140,140,141,141,140,137,136,135,134,132,131,131,133,135,137,137,136,135,134,134,136,138,137,136,136,137,137,135,133,132,133,133,133,133,134,133,132,133,133,135,135,133,130,129,128,126,124,123,124,124,123,123,125,128,129,128,126,127,128,127,125,125,129,132,130,125,121,121,122,121,122,123,124,122,121,122,124,128,130,129,130,131,131,130,128,127,129,131,135,137,134,131,130,133,134,131,128,127,130,133,133,130,127,128,129,128,128,129,129,127,124,121,122,124,124,122,123,124,123,123,124,125,125,124,122,123,124,124,124,125,127,127,126,125,124,124,125,127,128,128,127,127,128,129,130,131,130,128,127,128,130,131,133,135,136,136,136,138,137,137,138,137,137,139,138,134,131,131,135,138,141,142,140,136,135,137,137,136,135,134,134,135,136,138,139,139,138,138,141,144,145,143,141,142,146,150,151,149,147,143,138,136,138,143,146,146,146,144,142,140,139,143,147,145,142,139,138,140,143,146,144,141,135,132,132,134,135,136,135,137,138,139,139,137,137,140,143,142,139,140,142,144,144,145,144,145,148,150,148,142,141,143,144,143,140,139,140,142,145,148,150,149,147,149,154,155,152,149,153,158,156,151,149,151,154,155,155,155,157,null],[137,133,134,137,141,141,141,141,141,140,138,138,139,139,137,136,137,138,136,133,132,135,135,132,130,132,136,137,136,136,139,141,142,141,138,137,138,137,137,139,140,140,139,140,141,144,144,143,142,144,143,141,141,140,140,141,143,145,146,146,143,141,140,141,139,137,136,136,135,135,136,137,138,140,140,140,141,143,143,143,142,144,142,139,137,136,135,134,133,136,138,139,139,140,141,140,139,139,141,143,142,140,140,142,142,143,142,140,139,138,136,135,134,135,136,136,136,138,138,138,137,140,144,148,148,147,147,148,145,143,141,139,138,138,137,136,136,136,134,134,133,132,135,139,139,141,142,139,138,141,141,138,134,132,133,137,139,140,139,138,140,141,141,140,139,138,139,141,143,144,144,143,142,141,140,140,140,138,135,135,137,139,140,141,141,140,141,142,142,142,143,143,141,139,136,134,133,136,138,138,136,136,140,144,145,142,139,137,137,136,136,137,139,142,145,144,143,143,143,143,144,144,143,142,138,135,132,133,134,136,138,138,137,137,138,139,139,138,137,135,133,134,133,132,132,134,136,136,134,133,133,133,135,138,139,138,137,137,136,133,132,131,133,134,135,136,137,136,135,133,132,132,133,131,127,126,125,124,122,123,124,124,123,124,126,129,129,127,125,126,129,130,129,127,128,132,132,128,124,122,121,120,121,123,123,122,121,122,125,129,129,130,132,132,129,128,128,129,129,130,134,136,134,132,134,136,136,134,131,129,130,131,132,131,132,134,133,128,126,127,128,126,124,121,122,123,123,122,123,123,123,123,123,124,125,125,124,124,124,123,123,125,126,126,126,126,126,126,128,130,130,130,128,128,131,131,132,133,132,131,129,128,129,130,130,134,137,138,138,138,137,138,141,141,141,143,141,135,132,133,138,142,143,144,143,140,138,139,139,139,138,137,136,138,137,136,137,136,135,138,142,144,142,139,139,142,144,147,148,148,146,144,139,137,139,140,142,143,144,145,147,145,140,141,146,147,144,140,138,139,142,146,146,142,134,130,131,134,134,134,136,135,135,136,137,135,135,135,137,137,136,137,139,143,145,146,142,143,147,147,144,142,140,140,141,140,138,139,142,144,146,149,151,151,151,152,153,153,150,149,153,156,153,149,148,151,153,152,153,156,157,null],[136,134,135,139,142,140,140,141,143,141,139,139,140,139,138,137,137,136,135,134,135,136,136,134,131,131,134,137,138,139,141,142,142,141,138,138,140,139,137,138,140,140,140,140,142,143,144,143,143,145,144,142,142,141,139,140,141,143,145,146,144,143,142,142,141,139,138,138,137,137,138,139,138,139,138,138,140,142,144,143,142,144,144,141,137,136,137,135,132,134,138,140,141,141,142,142,141,142,142,143,141,140,142,143,142,141,141,142,139,136,134,134,135,136,137,137,138,140,140,139,140,141,144,147,147,146,145,145,143,142,139,136,136,138,139,138,136,136,135,134,133,132,134,137,138,141,142,140,138,140,141,138,136,133,133,135,138,139,138,137,138,139,139,137,136,138,141,142,143,144,144,143,142,143,144,143,141,138,136,136,138,139,141,143,142,140,140,141,143,144,144,142,140,138,136,133,132,134,138,139,137,135,137,142,144,143,140,137,135,134,135,136,138,140,141,140,141,143,144,143,144,142,141,140,139,136,132,131,131,133,135,136,135,135,134,135,137,139,137,134,132,134,134,132,131,133,135,134,132,131,132,134,136,138,140,140,138,136,134,133,133,134,135,136,137,137,137,137,136,133,129,128,130,130,127,124,124,124,124,125,126,125,123,123,125,127,127,126,126,127,130,132,131,128,128,132,133,129,125,123,123,121,122,124,123,121,120,121,124,126,127,128,131,131,126,126,128,131,132,133,135,136,135,135,137,138,138,136,134,132,129,129,130,132,135,137,134,129,128,129,129,125,122,122,123,124,123,123,123,124,124,124,124,125,125,125,124,124,124,124,124,124,124,125,126,127,128,129,130,131,132,131,131,131,131,131,132,133,133,131,130,131,132,131,130,131,135,139,140,139,138,139,141,143,144,144,142,139,135,135,138,141,142,144,144,144,141,139,139,141,143,139,138,141,139,137,137,137,136,138,140,141,138,137,140,143,145,146,146,146,145,145,143,140,140,139,138,139,141,144,147,148,143,141,144,145,144,141,141,142,140,141,144,141,137,135,135,134,133,134,136,136,135,136,137,136,135,135,135,134,135,136,138,143,147,145,140,140,144,145,143,141,139,138,139,139,138,139,142,145,148,149,149,151,153,152,148,148,148,149,151,151,147,145,148,151,151,149,150,152,151,null],[133,133,136,139,140,139,139,141,142,140,140,141,141,139,140,139,137,134,133,135,137,137,137,137,133,131,133,138,142,141,140,140,141,140,137,138,140,140,138,137,137,139,139,141,143,142,143,143,145,146,145,145,145,142,139,138,140,142,143,144,145,146,145,144,142,141,139,138,136,137,139,141,140,139,138,137,139,143,145,143,141,143,144,141,139,138,139,135,131,133,137,140,141,142,142,142,143,143,143,142,141,143,146,145,141,140,141,141,138,135,134,135,137,139,141,142,143,143,142,142,144,145,145,146,147,147,145,142,141,140,139,138,139,142,142,140,139,138,137,135,133,132,133,136,139,142,143,142,140,140,140,139,137,134,132,134,136,137,136,135,134,135,136,135,134,137,142,143,143,142,142,140,140,144,146,144,141,138,136,136,137,137,139,141,142,140,138,140,144,145,144,141,138,137,135,133,131,132,137,141,140,136,136,140,143,143,141,139,137,137,136,134,135,136,137,137,139,143,145,144,143,141,138,138,139,136,133,130,129,131,133,135,134,132,132,134,137,137,135,133,133,133,132,130,130,132,133,133,130,130,132,135,137,137,139,140,139,135,133,133,135,136,136,135,135,135,134,135,134,131,127,126,127,128,127,125,125,126,127,128,128,125,122,122,123,124,125,125,127,129,131,132,130,128,129,131,131,128,126,125,124,123,124,125,124,122,121,121,122,124,125,126,129,129,126,125,128,132,135,137,138,137,137,137,138,139,139,138,136,133,130,129,130,132,135,136,133,131,132,133,131,126,124,125,126,125,124,124,124,124,125,126,127,127,125,124,125,125,125,125,125,124,124,124,125,128,129,130,130,132,132,132,133,133,131,130,132,134,132,129,130,135,136,134,132,131,133,137,140,141,140,139,140,142,144,143,144,144,141,137,137,140,142,145,146,147,144,140,138,142,145,141,139,142,142,141,141,141,139,137,136,137,136,136,140,143,146,147,147,146,145,145,145,145,144,141,139,139,140,142,145,147,147,144,143,143,143,143,144,144,139,137,141,141,141,142,141,136,133,133,135,136,136,138,139,138,138,139,138,136,135,135,138,143,145,142,137,136,140,142,142,139,137,138,140,143,142,140,142,147,150,149,146,147,151,148,143,143,146,147,147,146,144,144,148,150,150,149,147,146,143,null],[131,132,133,136,138,138,139,140,138,138,139,139,140,139,140,139,136,134,134,136,138,138,140,141,137,132,132,138,142,140,137,137,137,137,136,137,139,140,140,139,138,137,138,141,144,143,142,143,146,147,146,146,146,145,141,139,139,142,143,143,145,147,147,145,143,141,138,136,137,138,138,141,143,142,140,138,139,143,145,145,142,141,141,141,141,141,140,135,130,133,136,137,139,141,141,141,141,140,140,140,142,145,146,145,143,142,142,141,139,136,136,138,141,142,144,146,146,144,143,144,145,147,147,148,148,146,143,141,141,140,140,143,144,142,141,141,142,141,138,135,133,133,135,138,140,141,142,143,143,142,142,141,138,135,133,134,135,134,132,132,132,134,135,135,135,137,140,141,141,141,140,140,141,144,145,143,140,138,138,138,136,135,136,139,140,140,140,141,144,145,143,142,140,139,136,132,131,132,137,142,143,141,140,141,143,144,142,140,140,140,137,134,133,134,135,137,141,144,144,143,141,139,137,137,137,136,134,131,130,130,132,133,133,132,132,135,137,136,134,134,135,134,131,129,129,130,131,130,129,129,132,135,137,136,135,137,137,135,132,133,134,135,134,132,131,130,130,130,129,127,125,124,125,126,126,126,126,127,129,130,129,127,125,125,125,126,125,125,128,132,133,133,131,129,130,132,132,130,129,127,125,124,124,125,126,125,125,123,123,125,126,126,129,130,127,126,129,133,136,137,139,139,138,137,137,139,140,139,135,133,133,133,133,132,133,133,133,134,136,135,129,129,132,131,129,126,124,123,123,124,125,127,128,129,126,124,126,127,126,127,127,126,124,123,124,126,128,129,130,131,132,132,133,133,132,131,132,133,131,130,132,136,137,136,134,132,131,134,137,139,139,139,140,140,140,141,144,146,146,142,140,142,145,146,147,148,146,142,138,141,146,142,139,141,142,143,145,146,142,138,136,138,138,137,139,142,145,146,147,147,146,145,146,148,148,145,142,142,141,141,144,148,149,146,144,144,146,146,145,143,140,140,143,142,142,145,145,140,134,132,134,135,136,139,141,142,141,141,140,138,136,135,137,139,140,139,135,135,138,139,139,137,136,138,144,148,147,145,146,150,151,147,144,144,146,144,141,142,144,144,144,147,148,148,149,150,149,147,145,143,142,null],[130,129,130,133,136,138,138,138,136,136,136,137,138,140,140,138,136,135,135,137,139,140,141,142,138,133,131,136,141,139,135,135,136,137,136,137,138,139,141,142,141,139,137,140,145,144,142,143,145,146,146,146,147,146,142,138,139,144,144,143,144,145,146,144,143,141,136,134,137,139,138,141,143,143,140,138,138,142,145,146,143,141,140,141,141,141,139,135,132,134,136,135,136,138,140,140,139,138,138,138,141,145,145,145,146,145,143,142,139,137,137,140,143,142,143,145,145,143,144,146,146,147,148,149,149,147,144,143,142,143,144,146,146,143,142,143,143,142,140,136,134,133,136,138,139,140,141,143,144,144,144,142,139,136,134,135,136,133,130,130,132,135,136,137,137,138,138,137,139,140,142,142,143,145,145,142,139,139,141,140,137,135,135,137,138,139,141,143,143,143,143,143,142,141,136,133,133,135,138,141,144,144,143,143,144,144,144,142,143,143,139,135,135,135,135,138,142,143,142,141,140,138,137,137,137,135,133,133,132,131,131,132,132,131,133,135,136,134,134,134,134,132,129,128,127,127,128,128,127,128,132,135,134,131,129,131,133,133,132,131,131,132,132,130,128,128,128,127,126,125,123,122,123,125,126,126,125,127,131,132,129,128,128,128,128,129,127,126,128,132,135,135,132,130,132,134,133,132,131,128,124,123,123,123,125,127,127,126,125,126,126,127,130,131,130,128,130,133,135,134,136,137,137,136,136,139,141,140,135,132,135,137,135,132,131,132,136,138,139,135,129,131,136,136,132,126,123,123,124,125,125,126,127,128,127,126,127,127,127,128,130,128,125,124,123,124,126,128,129,130,131,132,133,134,133,133,134,134,133,132,133,135,137,137,136,133,131,132,133,135,136,138,139,137,136,138,141,144,145,144,143,143,144,143,145,147,148,144,140,142,146,145,141,141,141,144,148,148,144,139,138,142,142,138,138,139,142,146,148,148,146,143,145,148,149,148,146,146,144,141,143,148,151,148,145,146,149,147,144,143,143,145,147,143,141,144,146,144,138,135,135,135,135,138,141,142,142,142,142,141,139,138,137,137,138,138,136,136,137,136,135,135,136,139,144,148,148,148,148,149,147,144,142,142,142,141,141,143,143,142,145,150,152,151,148,148,147,144,143,143,142,null],[129,127,128,131,134,136,136,136,137,136,135,136,139,141,140,137,137,137,137,138,141,141,140,138,137,134,131,134,139,138,136,136,137,138,139,139,139,138,140,142,144,142,139,141,145,146,145,142,142,144,145,146,147,143,138,136,139,143,145,145,144,143,143,142,141,139,136,135,138,140,141,142,142,140,137,135,137,142,145,145,144,143,141,139,139,139,137,135,135,138,138,137,136,136,137,139,140,139,139,139,141,143,145,146,145,144,143,142,139,137,138,141,143,141,139,140,142,144,146,148,148,147,146,147,149,148,147,147,146,146,148,147,145,144,144,145,142,141,140,138,135,135,136,137,138,139,141,142,143,145,144,141,139,137,137,138,139,135,131,131,132,134,136,137,138,138,138,137,139,142,144,145,145,146,145,143,141,143,144,143,140,138,137,137,137,137,140,141,141,141,142,142,142,140,136,134,135,138,140,140,142,143,144,144,145,146,145,144,144,144,140,138,139,138,136,137,140,140,140,140,138,137,138,138,137,134,133,134,133,132,132,132,131,131,132,133,133,132,133,132,131,129,127,127,126,127,128,127,126,129,133,134,131,126,124,125,129,131,130,129,128,128,131,131,129,127,127,126,125,124,122,122,123,125,126,125,125,127,132,133,129,128,129,128,128,131,129,126,127,132,135,136,134,133,134,135,134,132,131,128,125,123,122,121,124,126,127,126,126,125,125,127,129,131,131,130,130,133,133,132,133,135,135,134,135,139,141,140,136,133,136,139,136,132,132,134,138,141,140,135,130,130,134,135,133,127,125,126,127,127,125,125,125,126,127,128,128,127,126,129,131,129,126,125,123,123,125,127,128,127,128,132,133,134,135,135,135,135,135,134,134,135,137,139,137,135,134,133,131,131,133,135,135,135,135,134,135,138,140,141,141,140,139,139,142,146,147,145,143,145,148,149,146,144,144,145,148,149,146,141,141,146,146,141,136,136,139,145,150,149,144,140,143,147,149,150,150,149,146,143,144,147,150,150,147,148,149,145,143,144,146,148,149,144,140,143,146,145,142,139,137,135,134,137,139,140,141,143,143,143,143,142,140,139,141,141,139,138,138,136,135,137,140,141,141,142,146,147,145,143,141,141,140,140,140,140,141,144,144,143,146,151,151,148,144,143,143,142,143,143,142,null],[129,128,128,130,131,130,131,134,137,138,136,137,139,140,139,138,138,137,138,140,143,142,140,137,135,133,130,131,136,137,137,137,137,138,139,140,140,139,140,141,143,143,142,142,144,147,146,142,140,142,143,145,145,142,136,135,138,142,143,144,145,145,142,140,140,139,138,137,138,141,143,144,142,138,135,135,138,143,145,145,144,143,141,138,137,136,135,136,137,139,141,140,138,136,135,136,139,140,141,141,141,142,145,146,144,142,143,144,141,137,137,141,143,141,139,141,144,146,147,146,146,145,146,148,149,149,149,149,149,148,149,148,146,145,144,142,140,140,140,138,135,134,135,137,138,139,141,142,143,145,143,141,140,140,140,141,140,138,135,133,133,133,134,135,137,137,138,138,139,141,144,146,145,145,145,144,144,143,143,143,143,141,138,137,138,139,139,140,141,142,142,141,139,137,135,135,137,139,139,139,139,140,140,141,144,146,145,144,144,145,143,140,140,140,139,139,138,137,137,137,136,136,136,137,135,132,133,135,135,134,134,133,131,131,132,133,132,131,131,130,128,128,127,127,128,128,129,127,126,130,133,133,129,124,123,125,126,127,127,127,126,126,129,130,128,126,125,125,124,122,122,123,124,126,127,128,128,128,132,134,130,129,129,127,128,130,129,128,128,132,136,136,134,133,134,135,134,133,131,128,125,123,122,123,125,126,126,124,123,124,125,125,127,130,131,131,130,132,133,133,134,134,134,134,134,137,140,141,139,136,137,138,136,133,133,135,138,140,138,135,131,130,130,131,130,127,127,130,131,130,127,124,123,124,127,129,128,126,127,130,131,128,125,124,123,123,124,125,127,126,127,130,131,132,133,135,135,135,135,135,136,137,138,138,137,139,138,134,132,132,135,135,133,136,137,134,134,137,139,139,139,137,136,137,140,144,146,146,145,147,148,148,147,147,148,149,149,150,150,144,142,146,147,143,138,135,136,142,146,144,140,138,141,146,148,149,149,148,148,149,147,146,147,150,151,150,146,143,143,146,150,151,149,144,142,143,145,146,144,140,137,134,135,136,137,138,141,144,144,144,144,144,143,143,145,145,143,141,140,140,140,141,145,146,143,143,147,146,141,139,139,139,140,140,140,140,141,142,142,142,145,148,147,143,140,139,142,144,145,144,143,null],[131,130,129,131,130,129,129,132,135,137,139,139,138,138,138,139,139,138,139,141,144,144,141,139,137,133,129,130,135,137,137,137,137,137,138,139,141,141,141,140,141,143,144,144,144,146,147,145,142,142,141,143,143,140,137,138,141,142,141,142,146,146,144,142,141,140,139,138,139,142,144,145,144,140,137,136,139,143,144,144,144,142,139,137,135,135,136,137,137,139,141,141,140,138,135,136,139,140,141,142,142,143,144,144,142,140,141,143,141,137,137,140,142,141,140,142,145,145,145,143,143,144,147,150,149,147,148,149,151,149,147,146,146,144,141,139,141,142,140,137,135,134,135,137,138,139,139,140,142,144,143,141,141,143,144,142,140,140,138,136,133,132,132,134,135,137,137,138,138,140,143,145,145,144,144,145,146,143,140,140,143,142,137,137,140,142,141,140,142,143,142,141,138,136,136,136,136,137,138,138,138,138,138,139,143,145,144,143,144,147,146,142,141,142,142,141,138,137,136,135,135,134,134,134,133,133,135,138,137,136,135,133,131,132,132,133,132,131,130,129,129,129,129,129,131,132,130,128,127,129,131,130,128,126,126,127,127,126,126,127,126,125,126,127,126,125,125,125,123,121,123,125,126,126,129,132,132,131,132,133,131,130,130,128,128,130,131,130,130,133,136,136,134,132,132,134,134,134,133,129,126,125,124,126,128,128,126,123,122,123,125,125,125,127,130,132,131,132,133,135,137,137,136,134,134,136,139,141,141,139,139,138,136,134,134,136,137,137,137,135,133,132,129,127,126,128,130,133,134,132,128,125,123,124,127,130,129,128,129,129,128,126,124,124,123,124,124,125,125,126,127,128,129,130,131,133,134,134,134,135,137,137,137,136,137,141,141,136,135,138,140,138,135,139,141,139,139,141,142,141,139,137,138,139,142,143,145,145,145,146,145,144,144,148,149,149,148,149,150,147,144,144,146,145,140,136,135,138,140,138,138,141,142,144,147,148,146,146,149,153,151,146,145,149,153,151,146,144,144,147,151,152,148,145,145,144,144,145,141,137,136,136,137,137,135,137,141,144,144,143,142,143,143,144,146,147,145,143,142,144,145,145,147,148,148,148,149,145,140,138,138,140,141,141,141,140,139,139,139,140,142,144,142,141,140,141,144,148,148,147,147,null],[134,134,131,132,133,133,132,130,131,136,139,139,137,136,139,141,142,141,139,140,142,142,142,142,141,137,132,131,135,137,138,138,139,139,138,138,140,141,141,141,142,143,145,144,143,144,146,147,145,142,141,141,139,138,139,143,146,145,142,142,145,147,146,144,142,141,140,140,141,143,143,144,144,143,140,138,139,141,141,143,144,142,138,135,133,135,137,138,139,141,142,141,140,140,139,140,141,140,140,142,144,144,143,142,141,138,137,139,139,138,137,138,138,138,138,140,142,143,144,144,144,144,146,148,148,145,145,148,151,148,144,142,142,140,139,142,145,144,140,136,134,135,135,136,137,139,139,139,141,143,144,142,141,143,145,143,140,139,138,137,135,133,133,134,135,136,137,137,138,140,142,144,145,142,141,144,146,144,140,140,143,141,138,137,140,143,143,142,143,143,142,141,139,138,139,138,136,135,137,140,140,139,139,141,142,143,142,142,145,148,147,144,143,144,143,141,139,138,137,135,134,134,134,133,133,136,139,140,139,136,134,132,132,133,134,133,132,130,130,130,131,130,130,131,133,133,131,128,126,126,127,128,128,128,128,128,128,128,128,128,127,126,125,125,125,125,125,125,124,123,125,128,128,128,130,132,133,133,133,134,132,130,130,131,132,133,133,133,133,134,136,136,134,131,131,134,136,134,132,129,128,126,125,125,126,128,127,124,121,123,125,125,124,125,127,130,131,132,134,137,140,141,139,136,135,138,140,140,139,140,140,140,137,136,137,137,137,137,137,136,135,134,130,126,126,129,133,135,136,133,128,126,126,127,128,130,131,131,131,129,127,125,125,126,125,125,127,126,125,127,128,128,128,128,128,129,130,132,134,136,137,135,134,134,135,140,141,138,138,141,144,143,140,141,142,142,143,145,147,145,144,141,141,143,145,145,143,143,145,144,140,140,143,146,146,144,145,146,147,149,148,146,145,144,140,137,137,138,137,137,140,145,144,143,144,145,145,146,148,152,151,148,145,147,152,153,151,147,145,146,150,151,148,148,148,145,145,144,139,137,139,140,140,137,135,136,139,140,140,141,141,141,140,141,143,144,143,142,143,144,145,145,145,146,149,150,148,144,140,137,138,141,142,142,142,142,141,141,140,139,141,141,141,142,145,147,148,150,151,151,151,null],[135,135,132,133,135,136,134,131,132,134,136,135,135,137,140,141,143,142,139,139,140,139,140,142,143,139,133,132,135,137,138,138,140,141,139,139,140,140,140,140,141,143,145,145,144,144,145,147,145,142,140,140,140,140,141,146,148,146,144,143,144,146,147,145,143,142,142,142,143,143,143,143,144,144,141,138,139,141,141,142,143,141,137,134,133,135,138,138,139,140,141,142,142,143,144,144,143,140,140,143,143,141,139,138,139,138,137,136,137,138,140,138,137,136,136,137,139,142,144,146,146,145,145,146,146,144,143,146,150,149,143,141,140,140,142,145,146,143,138,134,133,135,136,135,136,137,139,139,141,143,143,142,142,144,145,143,140,138,138,138,136,134,134,134,135,136,137,136,137,139,140,141,141,140,139,142,145,145,143,143,144,141,137,137,139,142,144,144,143,142,141,140,139,141,142,140,136,134,137,141,142,142,143,144,144,142,142,144,146,148,146,145,144,144,141,140,140,141,140,137,135,135,137,136,136,138,140,141,138,135,134,133,133,134,133,132,132,132,131,131,131,131,132,134,135,133,130,126,125,125,126,126,127,127,127,128,130,132,130,127,127,128,127,126,126,125,124,125,126,128,130,131,131,132,132,132,132,133,135,136,133,131,131,134,135,134,133,133,132,133,135,135,133,130,131,135,136,133,130,129,129,127,126,124,124,126,127,124,122,122,124,124,123,123,124,127,130,132,134,137,139,140,139,138,137,138,139,138,137,137,139,139,137,137,139,139,139,138,137,137,136,133,129,127,128,131,134,135,134,131,129,127,128,128,128,130,132,133,132,131,128,125,126,127,126,126,127,126,125,126,128,129,129,129,127,126,127,130,134,136,135,134,132,132,134,137,139,139,138,140,142,142,141,141,142,144,146,147,147,147,147,145,145,146,148,147,143,143,144,142,138,138,141,142,141,140,141,141,143,147,150,148,146,143,138,137,139,140,139,139,141,144,142,141,141,143,144,144,145,149,152,150,146,147,151,153,153,151,149,148,150,151,149,150,150,148,147,144,140,140,143,142,139,136,136,136,137,137,137,139,140,139,139,139,140,139,139,140,143,144,144,145,145,146,149,150,148,143,139,138,139,141,143,143,141,141,143,146,146,144,143,143,144,147,149,151,152,153,153,153,153,null],[134,134,132,133,134,135,133,133,136,135,132,132,135,138,139,140,141,141,139,139,138,137,137,139,140,136,132,133,135,137,137,138,140,141,141,140,140,140,140,139,141,143,144,145,146,145,144,145,143,141,140,142,144,144,144,146,147,146,145,144,145,146,146,145,143,144,144,144,143,144,144,143,143,143,140,138,141,143,143,142,141,139,136,133,134,136,137,138,138,138,139,142,144,145,145,145,144,142,142,143,141,136,133,134,138,141,141,140,139,140,142,142,138,137,138,138,140,143,144,146,146,146,146,146,145,144,142,144,149,149,145,143,143,144,146,146,142,138,135,133,133,135,136,136,136,136,137,139,142,143,142,142,144,146,144,142,140,139,140,139,136,134,133,133,134,135,136,135,136,138,138,138,138,138,139,141,143,145,146,146,145,140,137,137,139,140,143,144,144,142,140,138,138,140,143,142,136,135,137,141,142,143,145,147,145,143,143,145,146,145,144,145,145,143,140,139,141,144,142,138,135,136,139,140,139,138,138,139,137,135,135,135,135,134,132,131,133,136,133,130,129,130,133,137,136,133,129,127,127,128,129,127,126,126,127,129,132,132,129,127,129,131,131,129,127,124,123,125,129,133,133,132,133,135,135,133,131,133,137,138,135,132,133,136,137,135,132,131,132,132,133,132,131,128,130,134,134,131,128,128,128,127,125,125,125,126,126,124,122,121,122,123,123,123,124,125,127,130,132,135,135,136,137,139,139,137,136,136,135,133,135,136,136,138,140,141,141,139,137,135,134,130,127,128,131,134,136,135,131,131,132,130,128,128,128,129,130,132,133,132,130,127,126,127,126,125,126,126,125,124,127,130,131,129,127,126,127,130,133,135,134,133,131,132,134,136,137,136,135,136,136,137,139,141,143,145,145,146,146,146,147,147,147,146,147,146,144,142,143,142,140,139,138,137,139,139,139,139,141,145,149,150,148,143,138,137,140,144,145,143,141,140,139,139,139,141,143,141,143,147,151,150,148,149,152,151,151,153,152,151,153,154,152,151,151,151,149,146,144,144,144,141,137,136,137,137,137,137,137,137,138,138,139,139,138,137,137,139,142,143,144,145,147,149,150,150,148,143,138,139,140,141,143,142,139,140,145,150,152,150,147,146,148,149,149,151,154,155,155,154,154,null],[134,135,133,134,135,135,135,136,138,137,133,132,134,136,138,138,140,141,140,138,137,136,136,137,135,133,132,136,139,138,138,139,141,141,142,142,141,140,139,140,141,142,143,144,145,146,147,146,145,143,143,144,147,147,146,146,147,147,146,145,145,145,144,142,141,143,143,143,144,145,144,141,140,140,139,139,143,145,144,142,141,139,136,135,136,138,140,140,140,139,139,140,142,144,144,143,144,144,144,143,139,134,131,134,139,143,145,145,142,140,143,143,141,141,143,143,142,143,144,145,145,146,146,147,146,143,141,143,147,148,146,144,144,145,146,144,139,137,136,136,135,135,138,139,138,136,136,137,140,141,141,143,145,147,144,141,140,140,142,141,138,134,132,132,133,135,136,135,135,137,139,140,140,140,140,142,144,145,146,146,145,140,138,140,141,141,142,144,145,144,142,139,138,139,142,141,137,136,137,138,140,142,144,145,144,143,143,143,143,141,142,143,143,142,140,141,143,144,143,140,138,138,140,142,142,140,138,137,137,136,134,134,134,134,132,132,135,137,133,128,127,129,131,134,136,135,133,132,132,134,133,130,128,128,130,132,133,130,128,130,133,134,132,128,125,124,123,125,129,132,132,132,134,137,137,134,133,134,137,139,137,136,136,138,139,136,134,134,133,133,132,130,128,127,130,133,133,130,127,125,125,125,126,127,126,126,126,126,124,122,121,122,123,124,125,126,126,129,130,131,132,133,134,136,136,134,133,134,133,131,132,133,134,138,141,142,141,139,136,133,132,129,126,128,134,139,138,134,131,133,135,132,130,130,129,128,128,131,133,133,131,128,127,127,126,126,126,127,126,125,126,129,129,127,125,126,128,131,133,134,133,130,130,132,134,135,134,134,133,132,133,135,138,143,145,144,144,145,145,145,147,148,146,145,145,145,141,139,141,143,143,139,136,135,137,138,138,140,142,145,149,151,148,142,139,139,141,146,148,146,143,141,141,141,138,137,140,143,145,147,147,147,149,151,151,149,149,152,152,151,153,156,155,154,153,151,149,147,146,144,142,139,137,137,138,139,140,139,138,137,137,138,139,138,137,137,138,140,141,142,143,145,148,148,147,145,145,141,138,140,141,140,140,140,139,141,145,149,150,148,145,145,146,147,149,152,153,154,155,157,156,null],[135,136,135,135,136,137,139,140,141,139,135,132,132,134,136,137,140,141,139,136,135,137,138,137,134,132,133,138,141,139,138,141,140,140,141,142,141,139,139,140,140,140,141,142,143,147,150,149,147,145,144,144,145,146,146,147,148,148,147,145,146,145,143,141,140,141,141,143,145,146,142,139,138,137,138,140,144,145,142,141,140,140,139,137,136,138,142,142,142,141,141,140,141,142,142,143,144,143,142,141,138,135,134,136,141,143,145,146,144,141,142,143,144,144,145,146,144,142,142,144,144,144,145,146,145,142,140,141,144,146,146,145,144,143,143,142,140,139,139,137,135,137,139,141,140,137,135,135,137,138,140,142,145,147,146,143,140,141,143,144,141,135,131,131,133,135,136,135,135,138,141,143,142,142,143,144,146,146,145,144,142,139,139,143,144,143,142,144,145,145,144,142,140,139,140,140,139,138,137,137,138,140,141,141,142,142,141,140,139,141,143,143,143,143,142,143,144,144,143,142,141,140,141,142,143,142,140,138,138,137,134,134,134,134,133,134,135,135,131,128,127,128,129,131,134,136,136,136,136,137,136,133,131,132,135,135,133,129,129,133,136,134,130,126,125,125,126,127,129,131,131,132,133,136,138,137,135,135,137,138,139,139,140,140,139,137,137,137,134,133,132,130,128,128,129,131,131,130,128,126,125,126,128,130,128,127,126,126,124,122,121,121,123,126,127,127,126,128,129,128,129,131,131,131,132,131,130,130,130,130,132,133,134,137,140,140,139,137,135,133,133,131,129,130,136,141,139,134,134,136,138,134,132,132,130,127,127,130,132,132,131,130,129,128,127,127,127,128,128,127,126,127,127,126,124,125,128,131,133,133,131,128,128,130,133,133,131,132,131,130,132,135,139,144,146,142,141,143,144,145,146,146,145,145,145,143,137,136,140,144,143,139,136,139,139,138,139,140,143,145,148,149,147,143,140,140,142,146,148,148,147,146,146,145,139,136,138,144,147,146,142,143,148,150,147,147,148,151,150,150,154,157,157,157,154,150,147,146,144,142,140,140,139,138,140,143,144,143,140,138,137,137,138,138,138,138,139,139,140,140,142,144,146,146,143,140,140,138,138,140,141,140,139,139,141,142,143,144,143,142,142,142,142,144,148,150,151,151,153,155,155,null],[137,137,137,137,138,140,142,143,144,141,134,131,133,135,137,138,141,142,140,137,136,138,140,138,135,134,135,137,138,138,139,140,139,139,141,141,140,139,138,139,139,139,140,140,142,147,151,150,147,145,143,142,143,144,145,147,150,149,146,145,147,148,146,143,141,141,141,142,144,144,140,138,137,138,139,140,142,143,141,138,139,142,142,138,136,137,140,142,141,142,143,144,143,143,143,144,143,141,139,140,139,138,138,139,141,142,144,145,144,142,142,144,146,145,145,145,144,141,141,143,145,144,143,142,142,142,140,139,141,143,145,145,144,143,142,143,142,141,139,135,134,136,139,141,141,139,137,136,137,137,137,139,143,146,148,146,142,142,144,145,142,135,132,132,134,136,137,137,138,140,141,142,141,142,144,146,147,146,144,142,140,138,140,144,146,144,143,143,144,145,145,144,142,141,140,140,141,140,138,136,137,139,138,138,140,140,138,137,140,144,146,147,147,145,143,144,145,144,143,142,140,140,140,142,144,144,143,140,140,139,136,134,135,136,136,136,134,132,131,129,127,128,129,130,132,134,135,135,136,136,135,133,134,136,138,135,132,129,132,136,136,132,130,128,127,128,128,129,131,132,133,133,132,134,137,137,136,136,137,138,139,140,141,139,137,137,137,136,134,132,130,130,129,129,128,128,128,129,130,129,129,129,130,131,130,128,126,124,123,122,121,121,122,126,128,127,126,127,127,126,127,129,128,127,127,128,128,127,126,128,132,134,134,136,137,137,136,135,136,137,136,136,136,134,135,138,138,136,136,137,137,135,134,133,130,127,128,130,130,130,131,132,131,130,128,128,128,129,130,129,126,125,126,126,124,124,126,130,132,132,131,128,126,127,130,131,130,129,130,131,133,135,138,143,144,140,138,140,143,144,145,143,144,148,148,143,137,137,141,142,140,137,139,145,145,143,142,141,142,144,145,145,145,144,141,140,141,143,145,149,151,150,149,147,143,139,138,141,144,143,141,142,147,147,145,146,149,149,148,150,155,158,156,156,154,149,145,143,141,140,140,141,142,139,141,145,146,143,141,139,138,136,137,139,140,140,139,137,138,139,141,144,145,145,141,138,137,137,139,141,144,144,142,142,144,143,140,139,140,140,141,142,142,143,146,146,147,148,149,150,151,null],[137,137,138,140,142,143,144,144,143,138,133,133,135,137,139,140,142,143,141,138,137,137,137,137,136,136,138,138,137,138,140,141,140,140,140,140,139,139,138,137,139,141,141,139,140,144,148,148,146,145,145,145,145,145,145,148,150,149,147,146,148,148,147,144,142,141,140,140,141,141,140,139,139,142,142,141,141,143,142,139,138,142,141,137,135,136,139,141,141,140,143,147,146,144,144,144,141,139,138,140,141,140,141,142,141,141,141,144,144,143,144,145,147,146,144,143,143,142,142,143,144,144,143,142,142,141,139,138,140,143,145,144,142,141,141,141,140,138,136,134,133,134,136,139,142,142,139,139,139,139,138,138,141,145,148,148,147,147,147,145,140,135,133,133,134,136,139,140,139,139,139,139,140,142,144,146,147,145,142,141,141,140,141,144,146,145,143,142,144,145,146,145,143,142,142,143,143,141,138,137,137,137,136,136,137,137,137,138,141,145,147,147,147,145,144,144,145,144,142,139,138,138,140,142,143,144,143,141,140,140,138,136,136,138,139,138,134,132,133,131,129,128,128,130,131,132,132,134,135,136,135,135,137,140,139,135,131,132,134,136,135,132,131,130,129,128,129,130,131,132,132,131,131,133,136,137,136,135,136,137,137,137,138,138,137,137,137,135,133,131,130,130,130,129,127,126,127,129,132,131,129,128,129,131,131,129,127,124,122,122,121,120,121,126,128,127,126,127,127,125,126,127,127,126,125,127,129,128,127,127,130,133,133,134,135,135,134,135,138,141,142,141,140,136,134,134,134,135,135,134,133,133,133,131,129,128,129,130,130,129,130,133,133,131,130,129,129,129,129,128,126,125,126,126,125,124,125,127,129,131,132,130,126,125,129,130,129,128,128,130,133,134,135,138,140,137,135,137,140,143,144,142,142,147,147,141,138,140,141,137,134,135,140,145,147,146,146,144,143,143,143,142,143,145,143,141,139,138,140,146,150,149,148,146,146,144,141,140,141,143,142,142,143,143,145,149,151,150,147,148,153,155,153,155,155,150,145,142,140,141,142,144,143,139,141,147,145,142,142,142,141,139,139,140,140,140,138,135,136,138,141,142,143,142,141,139,137,139,140,142,145,149,149,148,148,143,138,138,139,139,142,146,147,146,145,144,146,148,150,150,150,null],[137,138,139,142,144,143,143,141,138,135,134,136,138,139,141,143,142,142,141,139,136,135,134,134,135,137,140,141,140,139,140,141,142,141,139,138,138,139,139,138,141,144,142,140,139,141,144,145,146,147,148,148,148,147,146,148,150,150,150,149,149,148,146,144,143,142,140,139,139,140,142,142,142,144,144,143,143,144,144,141,139,140,139,136,136,137,139,140,140,140,143,147,147,146,145,142,139,138,139,142,142,142,144,145,143,141,141,143,145,145,146,146,147,146,144,143,143,144,145,144,144,143,143,143,143,141,139,139,141,143,143,141,138,137,138,138,137,136,136,135,133,132,134,138,143,144,141,140,141,143,142,140,141,143,146,149,150,150,147,143,138,135,133,134,135,137,139,142,140,137,137,139,141,142,143,145,147,144,141,141,143,144,143,143,146,147,144,142,144,147,147,144,142,142,145,147,144,141,138,137,136,135,135,135,135,136,139,140,141,142,143,143,143,143,144,145,145,144,141,138,137,138,140,141,141,141,140,138,138,139,139,138,137,138,139,137,135,135,135,133,130,127,127,128,130,130,131,134,136,136,136,137,139,140,139,135,134,135,136,136,135,134,134,132,129,128,128,129,130,130,130,129,130,132,134,136,135,134,135,136,135,134,134,137,139,138,136,134,134,133,131,131,130,128,127,127,128,130,132,132,129,126,126,129,130,129,127,126,124,122,120,119,121,126,129,129,128,128,127,126,126,128,129,128,127,129,132,132,130,127,128,130,131,133,134,136,136,137,140,144,146,145,140,135,133,134,134,133,133,131,129,130,131,129,129,129,129,130,131,130,130,132,134,133,131,129,129,129,128,127,125,125,126,127,127,126,126,125,127,129,132,132,128,126,129,130,129,128,129,130,133,133,133,134,135,134,134,136,140,142,143,141,139,142,142,139,140,142,138,133,132,135,138,140,144,147,149,147,145,143,142,142,143,144,145,142,138,135,137,144,147,147,146,146,148,149,145,141,141,145,145,143,140,142,148,152,152,149,145,145,147,151,153,156,156,151,146,143,141,142,144,145,143,140,141,145,143,141,144,145,144,143,142,139,138,139,138,137,136,137,139,141,140,139,139,139,139,140,143,145,147,151,154,154,150,144,140,141,140,139,143,148,150,150,148,148,149,150,153,154,154,null],[138,139,140,142,142,141,141,139,135,134,136,138,139,141,143,144,141,139,138,137,135,134,133,134,136,138,141,142,141,138,138,140,142,141,138,137,138,140,140,139,141,144,143,142,140,139,140,142,145,147,148,148,149,147,146,148,150,151,152,152,151,150,147,144,143,143,142,140,139,141,143,143,143,145,146,146,144,142,141,141,140,139,138,138,139,140,139,137,138,141,144,145,145,145,143,140,137,137,139,141,143,144,147,147,144,142,142,145,146,147,147,148,148,147,146,145,145,146,147,146,145,144,144,144,144,143,140,138,138,140,140,138,137,136,137,137,137,138,138,136,133,132,135,139,144,144,141,139,141,145,145,142,141,142,146,149,150,147,143,140,138,135,133,134,138,139,139,140,140,139,138,140,143,142,142,145,146,145,141,140,143,145,145,144,146,148,145,143,145,148,148,145,142,144,147,148,145,142,140,138,136,135,135,135,135,137,140,142,142,141,140,139,140,142,145,146,145,144,141,140,140,139,138,138,138,138,136,134,136,138,138,138,137,136,136,136,137,137,135,132,129,128,129,129,129,129,131,134,136,135,135,137,139,140,138,138,138,139,138,136,136,136,135,133,131,129,128,128,128,128,129,129,130,133,134,135,133,132,134,135,135,133,134,138,141,140,137,134,134,134,133,132,131,128,128,129,129,129,131,133,131,129,128,129,129,129,127,127,126,124,121,119,122,127,130,131,130,128,127,127,128,130,132,131,130,131,133,134,132,130,129,129,129,132,135,137,137,138,140,145,147,145,139,136,136,138,139,137,135,132,128,129,130,130,130,129,128,128,130,131,131,133,134,134,131,128,128,128,129,127,125,124,126,127,128,127,127,126,127,127,129,130,129,128,129,127,126,127,131,133,134,134,133,133,134,136,137,139,141,141,142,139,137,137,138,139,141,140,135,133,136,136,135,136,141,148,151,147,143,142,144,144,144,144,147,145,139,138,140,144,147,147,146,147,150,149,146,143,145,149,149,145,141,143,150,152,150,146,146,146,145,150,159,159,154,151,147,145,144,144,146,145,143,143,143,144,141,140,144,145,146,145,143,139,136,138,141,141,138,136,137,140,139,137,137,138,138,141,146,149,149,149,154,156,151,147,146,145,143,139,140,145,148,151,153,154,153,151,153,156,157,null],[139,142,144,142,140,139,141,140,137,136,138,138,139,141,143,143,140,138,138,137,135,135,134,134,137,140,141,141,140,138,137,139,141,140,137,137,139,141,142,142,142,143,143,143,142,141,140,141,143,145,146,147,148,147,146,148,150,151,151,151,151,150,148,145,144,144,143,141,141,142,144,144,144,144,145,146,145,142,139,138,139,139,139,141,142,141,139,136,137,142,144,142,142,143,142,140,138,138,140,142,143,145,148,148,144,143,144,146,147,147,147,147,147,147,146,146,146,146,147,147,146,144,143,144,145,145,141,137,136,137,138,138,137,137,138,138,139,140,140,137,134,135,138,141,144,144,143,142,143,146,146,143,141,143,147,149,148,145,142,141,138,134,131,135,140,141,139,139,141,142,140,140,143,144,144,144,143,143,141,139,140,142,144,145,147,149,148,146,146,148,149,146,144,146,146,145,143,141,140,138,136,136,137,137,136,136,138,141,142,142,140,140,142,144,145,146,145,144,143,143,143,140,137,136,136,136,134,133,135,136,136,135,135,134,133,134,136,137,134,130,129,130,132,131,129,129,131,133,134,133,133,135,138,139,138,138,139,139,138,138,137,136,134,133,131,129,128,128,128,128,129,129,130,132,134,133,131,131,132,133,135,135,137,140,142,140,137,134,133,133,133,132,131,129,130,132,130,129,131,134,134,132,130,129,128,127,127,128,128,125,121,120,122,128,132,133,131,130,129,128,129,131,133,134,134,134,134,135,134,133,134,132,129,131,135,137,137,136,138,142,145,143,139,137,138,140,141,139,136,132,131,132,132,130,129,129,127,127,128,131,132,133,134,134,130,127,127,128,129,128,126,125,126,128,128,128,128,128,128,126,126,127,128,128,127,125,124,126,131,136,137,136,135,134,134,136,138,138,138,138,140,137,134,134,137,140,140,137,132,134,140,140,136,134,138,145,147,144,139,140,144,144,145,145,148,145,139,140,144,146,147,148,147,148,149,148,148,149,151,151,151,148,144,145,149,150,147,144,147,150,149,153,161,160,155,152,150,147,148,148,148,146,146,146,144,143,142,143,143,145,147,146,143,139,137,138,142,144,142,138,137,139,141,139,138,137,137,139,143,148,149,149,153,154,150,150,152,150,145,140,138,141,145,150,154,155,153,152,152,155,157,null],[141,145,147,143,140,142,143,142,141,139,139,139,140,141,142,141,139,139,141,139,137,137,136,134,137,140,140,140,139,139,139,140,139,138,136,137,140,142,143,144,144,144,142,143,144,144,142,140,142,146,147,147,149,149,149,149,149,149,148,148,149,149,147,146,145,144,142,140,141,143,144,146,146,145,144,144,145,144,140,137,137,139,141,142,142,142,140,138,138,142,143,140,141,143,144,144,143,142,142,144,144,146,148,148,145,144,145,147,147,147,146,145,145,145,145,145,145,146,147,147,145,143,142,143,144,144,141,138,137,138,139,139,139,140,141,140,139,140,141,138,136,137,140,143,145,146,147,147,147,147,145,142,142,144,147,148,148,147,147,144,139,132,131,136,142,144,143,141,143,143,139,139,144,147,146,142,140,140,139,138,137,138,141,144,147,149,148,147,148,148,148,148,147,146,143,141,140,140,139,139,138,139,140,138,135,133,134,136,140,143,144,144,145,145,144,144,144,144,144,144,143,141,138,137,136,135,135,136,135,134,133,133,133,132,132,133,135,135,133,131,130,132,133,133,131,129,130,131,131,131,131,132,135,139,139,138,137,136,137,138,136,133,132,132,130,127,127,130,130,129,128,130,131,132,132,130,129,130,130,131,135,139,140,141,140,138,137,135,133,132,132,131,130,131,132,134,132,131,131,134,135,133,130,127,126,126,127,129,128,125,121,121,124,129,133,134,132,132,132,130,129,130,132,134,135,136,136,136,134,134,137,137,133,131,132,134,135,135,135,139,142,142,140,138,137,137,138,137,134,133,134,134,132,129,129,130,130,129,129,131,133,133,133,133,129,127,127,128,128,127,126,126,126,127,127,128,129,130,128,127,126,126,126,126,126,126,125,125,130,135,137,138,136,135,134,135,135,133,132,134,137,135,132,134,139,141,138,133,132,134,139,142,140,136,136,139,140,139,137,138,140,142,144,147,148,144,138,140,144,145,146,147,148,147,146,148,152,155,155,153,150,148,146,145,146,148,147,145,148,153,156,156,157,159,159,156,152,150,152,153,152,150,149,147,144,142,144,146,144,147,148,145,142,142,140,140,142,144,145,141,138,139,142,143,141,139,139,137,138,143,147,150,153,153,149,152,155,152,146,143,141,141,144,148,149,148,149,152,152,152,154,null],[144,147,147,144,143,144,144,143,143,143,141,140,141,141,140,139,140,141,142,142,140,138,135,135,138,139,138,137,137,139,140,141,140,139,137,138,140,141,142,142,142,143,143,144,146,146,143,142,144,147,148,148,151,152,152,150,148,146,147,148,147,147,146,146,145,142,140,140,142,144,145,146,146,146,144,143,143,143,140,138,138,141,143,143,142,142,141,139,138,140,142,141,143,145,148,148,147,144,144,144,145,146,146,146,146,146,147,148,148,147,146,145,145,145,145,144,144,145,146,145,144,143,142,141,140,140,140,140,141,141,140,140,142,145,145,142,140,141,142,139,136,138,141,143,145,147,149,149,148,146,144,143,143,145,147,148,149,151,150,145,138,133,133,138,143,146,146,145,145,144,141,141,144,145,144,142,141,141,140,138,137,137,139,144,146,146,146,147,149,148,147,147,146,144,141,140,141,140,140,140,142,142,140,137,133,132,132,134,138,143,145,144,143,142,142,143,144,144,145,145,143,141,139,136,135,136,138,138,136,134,133,133,133,133,134,134,134,133,132,131,132,133,133,133,131,130,130,130,129,130,130,132,135,139,141,140,137,135,135,135,134,132,132,132,130,128,129,132,131,129,128,130,133,133,131,129,130,131,132,133,136,140,142,140,137,135,135,134,133,133,134,132,131,132,134,134,133,131,130,131,133,132,129,126,124,125,127,128,126,123,121,123,126,129,131,132,132,134,134,132,130,129,131,133,134,136,137,137,135,134,137,139,137,133,131,134,137,137,136,137,141,142,141,139,137,135,135,136,135,135,136,134,130,128,130,134,135,133,131,131,133,134,134,133,130,128,127,127,127,127,127,127,126,124,125,126,128,129,128,128,129,129,127,126,127,128,127,125,127,130,133,136,135,135,135,135,132,128,129,132,135,133,134,137,141,140,135,131,133,135,137,141,143,141,139,138,137,138,140,140,140,140,142,145,147,143,138,139,142,142,142,145,147,147,146,150,155,156,155,154,150,148,148,146,145,149,151,149,150,155,159,156,152,156,160,157,154,155,156,158,157,153,148,146,144,144,147,149,148,148,148,145,143,144,144,142,142,145,147,143,139,141,145,147,145,142,140,137,139,145,150,153,153,151,151,155,158,154,150,149,145,143,144,146,145,144,145,148,149,149,151,null],[146,147,144,144,145,146,145,144,143,143,143,142,142,142,140,139,141,142,141,141,140,137,136,137,139,139,137,135,135,137,139,140,141,141,139,140,141,140,139,139,140,142,143,146,147,145,142,144,147,149,148,149,153,154,152,150,147,145,147,149,148,147,146,145,144,141,140,141,143,145,145,145,145,146,144,142,141,141,140,139,140,142,144,143,142,141,140,140,139,138,140,142,144,146,149,150,148,145,143,144,145,146,146,147,147,148,149,149,149,148,146,146,146,145,145,144,143,143,144,145,144,144,142,139,137,137,139,142,144,142,140,141,145,149,148,144,142,142,141,138,136,138,141,142,143,146,147,147,145,145,145,144,143,144,146,148,150,152,149,143,137,135,136,140,143,147,148,146,145,144,144,144,144,142,142,143,144,144,142,141,140,138,139,143,145,145,145,147,149,149,147,145,144,143,142,142,143,141,140,141,144,144,139,135,133,134,134,134,136,139,141,141,140,139,140,143,144,145,145,145,143,141,138,135,134,138,141,140,139,138,137,135,134,135,136,135,133,131,131,132,134,134,134,132,132,132,130,129,129,129,129,132,136,139,140,139,138,137,135,134,133,134,135,134,132,132,132,132,131,129,129,130,133,133,132,131,131,133,136,136,137,139,141,138,135,134,135,135,135,135,136,134,132,133,134,134,133,130,127,127,129,131,130,127,125,126,127,127,125,123,121,123,127,130,129,129,131,135,137,135,131,131,132,133,134,135,138,139,138,135,136,139,139,136,133,135,138,140,140,140,143,144,143,140,137,135,136,137,136,135,135,132,129,128,132,136,138,135,132,132,134,136,135,133,130,128,127,128,128,129,128,128,126,124,124,126,127,127,127,129,131,131,130,128,129,129,128,127,126,126,129,132,132,133,134,134,131,127,130,133,133,134,136,138,139,138,132,131,136,138,137,139,142,143,144,142,139,141,144,144,142,140,142,144,146,145,142,142,142,140,139,141,144,146,147,150,153,150,150,154,153,151,150,147,144,150,154,152,153,156,156,153,150,154,157,156,157,161,160,160,157,154,149,147,147,150,151,151,149,147,146,146,147,146,146,144,143,145,148,144,141,144,146,146,145,142,139,141,146,151,155,156,153,150,152,157,159,156,152,151,147,144,144,144,145,145,145,146,145,146,148,null],[148,148,144,144,145,146,147,145,143,142,143,144,144,142,139,139,143,144,140,137,136,137,138,140,141,140,139,136,134,136,139,139,140,140,141,143,143,140,137,138,140,141,142,145,147,144,142,145,148,148,148,149,153,152,149,149,147,145,146,148,148,147,146,145,143,140,141,144,145,146,145,143,143,144,142,139,139,139,138,138,139,141,143,143,141,140,140,142,142,138,137,140,142,144,146,148,147,145,144,144,146,147,147,149,150,149,149,151,150,148,146,145,145,145,144,142,142,142,144,145,145,143,141,138,137,138,140,142,143,141,140,141,146,150,149,145,143,140,137,136,138,139,139,140,140,141,142,143,143,145,147,147,144,142,144,148,150,148,145,141,138,136,136,139,142,146,148,146,145,144,145,145,144,143,144,145,145,144,144,145,143,140,139,142,146,147,147,147,147,148,148,145,144,145,145,145,143,140,139,141,144,144,139,135,135,137,138,137,136,136,138,141,142,141,140,142,144,144,143,143,142,140,138,135,136,140,142,142,141,141,140,138,136,135,135,134,132,130,131,133,135,136,134,132,133,133,131,129,129,128,129,132,134,136,136,136,138,139,139,137,137,137,138,138,136,135,134,132,130,128,128,129,130,132,134,133,132,133,136,136,135,137,139,137,135,135,137,138,137,136,135,133,133,133,133,133,133,130,126,125,128,131,130,127,126,127,126,126,125,123,121,122,126,129,127,126,128,133,137,137,133,131,133,135,136,136,138,140,140,139,137,138,140,141,139,137,136,139,144,146,145,145,144,140,137,137,138,138,135,133,132,130,128,127,131,135,137,134,132,134,137,136,134,130,128,127,128,130,131,132,131,129,128,128,127,127,128,128,128,128,130,131,130,129,128,129,130,130,128,126,127,128,128,129,131,133,131,129,131,134,134,135,136,136,134,132,130,133,138,141,140,139,140,141,144,146,145,145,148,147,144,144,144,145,147,147,147,147,146,141,139,139,141,143,145,147,147,144,146,152,155,155,154,149,145,146,151,154,157,155,150,148,150,154,155,155,159,165,163,158,154,153,154,153,154,156,155,153,150,146,145,148,150,149,146,145,143,146,149,147,146,148,146,142,142,140,140,144,150,154,156,156,154,152,152,157,160,157,151,147,145,143,143,144,147,149,150,149,145,144,146,null],[146,146,146,145,144,144,144,144,144,144,144,143,143,141,139,139,142,143,140,137,135,137,140,141,141,140,139,137,135,136,138,140,140,141,143,145,143,140,138,138,140,141,141,143,146,145,144,146,147,147,148,150,152,150,148,148,147,144,143,145,146,147,146,145,143,141,142,146,147,146,145,143,142,143,141,138,139,140,139,139,138,140,143,143,141,141,142,144,143,140,137,138,140,142,144,145,146,146,146,147,147,147,148,149,151,150,149,149,147,145,144,145,144,144,143,141,141,142,145,146,144,141,139,137,138,141,141,141,141,140,140,140,143,147,148,147,145,141,137,137,140,142,142,140,139,139,139,140,143,148,151,150,148,146,147,148,148,146,143,141,139,136,135,136,139,142,145,146,146,145,146,146,146,147,147,145,144,143,145,147,146,142,139,141,144,146,147,146,146,148,148,147,146,146,145,144,142,140,139,141,143,144,141,137,136,138,141,142,139,135,138,143,146,145,144,143,144,144,143,143,142,140,138,139,140,140,140,141,142,143,142,139,137,136,135,134,132,130,131,133,135,137,136,133,134,134,132,129,130,131,131,131,132,133,133,134,137,140,141,141,140,139,140,140,138,136,134,131,129,128,128,129,130,133,136,135,133,133,134,134,135,137,139,139,138,138,139,140,138,135,132,133,134,135,134,133,134,132,127,126,129,131,129,126,125,126,126,126,126,125,124,123,124,127,127,126,128,130,134,135,134,132,133,135,136,136,137,140,142,142,139,138,140,143,143,140,136,139,147,152,147,143,141,138,137,137,137,135,132,131,130,128,127,128,129,132,134,134,132,135,138,136,132,129,127,128,129,132,134,134,132,130,130,131,131,131,130,128,128,129,130,130,130,129,128,128,130,131,130,128,127,126,125,127,129,129,130,131,132,133,134,134,133,133,131,130,131,136,140,143,143,143,141,141,143,146,147,148,151,149,145,144,143,144,146,148,149,150,149,146,143,142,143,143,143,142,144,146,148,151,153,154,154,152,151,146,146,150,153,151,146,146,151,154,155,157,161,164,162,157,153,155,159,158,157,157,157,155,151,146,146,151,154,152,149,145,144,146,150,151,150,148,143,141,142,144,145,146,148,151,153,155,156,154,152,157,162,159,153,149,146,143,141,144,148,152,154,153,150,147,146,null],[143,144,146,146,143,140,138,140,145,147,144,142,142,140,140,139,140,140,140,139,138,138,139,140,141,139,138,138,138,137,138,140,142,144,145,144,142,142,141,140,140,141,141,142,145,146,146,147,146,146,148,151,150,148,149,149,147,143,141,142,143,144,144,144,143,142,143,146,147,147,146,144,143,143,141,139,139,142,142,141,139,142,143,143,142,143,144,144,143,142,140,138,139,141,143,145,145,146,148,149,148,147,148,150,150,149,148,145,143,142,144,145,144,143,143,141,141,142,145,145,142,139,138,138,139,142,141,140,141,141,141,140,142,145,147,147,146,143,140,138,140,143,143,142,141,141,140,141,145,151,153,152,152,153,151,149,146,145,143,141,139,137,135,133,134,137,142,146,147,146,145,146,149,149,147,144,143,144,145,147,146,142,140,141,142,143,144,145,146,148,148,148,147,145,143,141,142,142,142,141,142,143,141,138,137,139,143,145,142,138,140,145,148,148,147,146,146,145,144,143,142,140,141,142,142,139,137,138,140,141,141,139,137,136,135,134,133,131,130,132,136,138,136,134,134,135,133,131,131,133,134,132,131,131,133,135,137,138,140,140,139,139,140,140,138,136,135,132,130,128,129,131,132,135,136,135,134,133,132,132,135,138,140,141,141,139,139,140,138,134,132,133,136,138,136,134,134,133,129,129,131,131,128,125,125,125,126,127,127,128,127,124,123,124,127,129,129,129,130,132,134,134,134,134,135,135,136,138,141,143,141,140,141,143,144,142,140,142,150,153,147,140,137,137,137,136,135,133,131,131,130,128,128,131,131,130,133,135,134,134,136,137,134,130,129,129,130,133,135,135,133,131,131,133,134,133,131,128,129,130,131,130,129,130,130,129,129,130,130,129,127,126,126,128,128,128,130,132,131,131,132,131,131,132,132,133,134,137,141,143,144,145,144,143,142,143,145,148,149,147,143,142,141,141,143,146,148,149,150,151,149,145,147,147,143,141,143,149,153,150,149,149,150,155,158,151,145,145,146,146,146,149,153,154,156,160,161,160,159,157,154,156,159,158,156,156,157,156,153,149,149,153,156,155,151,148,145,147,150,151,149,144,141,142,147,151,153,150,147,148,151,154,156,156,154,158,161,159,158,156,150,143,140,143,147,153,155,154,152,151,150,null],[139,142,145,143,140,138,135,136,142,144,142,142,143,141,141,140,140,140,139,141,141,140,139,140,142,140,137,139,142,140,138,139,142,145,146,145,143,142,142,143,143,142,142,143,144,146,147,147,145,145,146,148,148,148,148,148,147,146,143,142,143,143,141,144,145,144,144,145,147,148,147,146,146,145,141,138,138,143,145,143,141,142,142,141,142,144,146,145,144,145,143,140,139,141,144,146,145,146,148,149,148,148,149,150,149,149,148,145,144,145,146,146,144,144,145,144,142,140,142,142,140,139,139,140,141,143,143,143,144,145,145,145,145,146,146,144,144,143,141,138,137,139,140,140,142,143,143,144,147,150,152,153,154,153,150,147,145,143,141,139,139,138,136,134,133,137,143,148,148,145,144,146,149,149,146,143,144,147,147,146,144,140,139,142,144,142,142,144,146,147,148,147,146,143,141,141,143,144,144,142,141,141,139,138,138,141,145,146,143,140,140,143,147,149,149,148,147,146,146,145,141,140,142,144,142,138,136,137,138,140,140,139,137,135,135,135,134,132,129,131,136,137,136,134,135,137,136,135,134,134,133,131,131,132,134,136,138,138,137,137,137,138,139,139,139,139,138,134,131,129,129,130,132,133,134,134,134,134,132,132,134,137,139,141,141,138,138,139,139,137,134,134,136,139,138,135,134,132,130,130,131,131,131,129,127,126,125,125,127,129,127,123,121,123,127,129,130,129,130,131,133,135,136,135,134,135,136,136,138,141,142,142,142,143,144,144,145,148,151,151,146,142,138,137,136,135,135,134,132,130,129,128,130,135,134,131,134,137,138,137,136,137,136,133,132,130,129,132,135,135,133,132,133,134,134,133,131,129,129,130,130,128,128,130,132,131,129,129,130,129,127,127,129,130,129,129,129,131,131,131,132,131,131,132,134,136,137,138,140,142,142,142,142,142,141,142,143,144,144,141,139,140,141,141,141,143,144,147,150,153,150,146,150,152,147,142,142,147,150,147,146,145,148,153,158,153,148,146,144,145,149,151,152,153,157,162,160,155,155,155,154,154,155,155,156,157,157,155,153,151,152,154,155,154,153,151,149,148,150,148,145,144,144,144,146,151,156,155,152,150,151,154,156,156,156,157,156,155,156,156,151,146,144,145,147,150,151,150,150,151,153,null],[135,138,141,139,138,137,135,135,138,140,140,141,142,140,142,142,142,140,138,141,144,142,140,140,142,141,139,140,143,142,139,138,141,144,145,144,144,143,143,145,145,144,144,144,144,145,146,146,145,144,144,145,147,148,147,146,147,149,147,146,146,143,141,143,146,147,145,144,144,146,147,148,147,145,141,136,137,141,145,143,142,143,142,141,141,143,145,146,146,147,145,141,139,140,145,147,147,146,147,148,148,149,149,149,148,148,148,146,147,148,148,147,146,145,145,144,141,138,139,139,137,138,142,144,145,145,145,146,148,148,148,149,149,148,145,142,141,141,140,137,135,136,136,138,142,144,145,147,149,149,150,151,150,148,146,144,143,140,139,139,139,140,139,137,135,137,142,145,144,142,143,145,145,144,142,141,145,148,148,146,143,139,138,143,146,144,144,144,146,147,147,145,144,143,143,144,145,145,143,141,139,138,137,137,139,143,145,145,143,140,139,140,144,146,147,147,147,147,147,144,140,139,142,143,141,139,137,136,137,140,141,139,136,133,133,135,135,132,129,131,136,137,135,134,135,138,138,137,136,133,130,130,131,133,134,136,137,138,136,135,136,138,138,138,140,141,139,135,132,130,129,129,129,131,131,133,134,135,134,133,134,136,138,140,140,138,137,138,139,139,138,136,137,140,140,137,134,132,131,130,131,133,134,134,131,128,125,125,126,127,125,121,120,123,126,129,130,131,131,130,132,134,136,136,135,136,137,136,136,139,141,143,143,143,144,144,146,148,148,147,145,143,140,138,135,133,134,134,131,128,127,128,131,135,136,135,135,138,141,141,140,139,139,137,135,131,129,131,133,133,133,133,134,134,132,131,130,129,128,129,128,127,127,131,133,132,130,131,131,130,129,130,131,132,131,130,129,129,131,132,132,132,132,132,134,135,136,137,138,138,138,137,137,138,141,143,141,139,137,136,138,141,144,144,144,143,143,146,149,151,149,147,150,153,149,146,145,143,144,145,146,147,149,152,155,153,151,150,148,148,153,154,152,152,156,159,157,152,152,153,153,151,151,155,158,158,156,153,151,152,154,153,152,151,152,154,153,152,151,147,146,148,147,144,143,147,153,157,155,152,151,152,155,157,157,154,152,153,155,155,153,150,149,147,144,146,148,148,150,152,155,null],[133,134,136,137,136,137,137,136,138,140,141,140,138,139,142,144,144,141,139,142,145,145,142,141,142,143,141,141,142,144,142,138,140,143,144,143,144,144,144,145,144,144,145,146,145,144,144,145,145,143,143,144,147,148,147,146,147,149,150,149,147,144,143,145,148,148,145,142,143,145,147,148,147,145,140,137,138,140,142,142,142,144,144,142,141,142,144,146,148,147,144,140,138,140,144,149,150,148,147,147,149,149,148,148,149,148,148,148,148,147,146,145,146,145,143,140,139,139,139,138,137,139,143,145,147,146,146,146,147,149,149,149,149,148,145,143,142,141,139,136,136,137,137,138,140,143,145,147,150,150,149,147,146,145,143,141,140,140,142,143,142,141,141,139,136,136,137,138,139,141,142,142,140,139,139,140,142,145,147,147,144,140,139,141,145,147,147,146,147,148,148,145,143,144,146,146,145,144,142,139,137,136,138,139,140,143,146,146,143,139,138,139,141,142,142,144,147,150,148,143,140,139,141,142,142,140,138,136,136,139,141,138,134,132,133,135,135,131,129,133,137,137,135,134,136,138,137,137,136,132,129,129,130,132,134,135,135,135,135,136,137,138,138,138,138,140,138,134,132,131,130,129,129,130,131,132,135,136,136,135,135,135,137,139,140,138,137,136,136,138,140,139,138,141,141,139,136,134,132,131,132,133,135,136,134,131,126,126,126,125,122,121,122,124,126,129,131,132,131,129,129,131,134,135,135,136,137,138,138,139,141,142,142,142,142,142,141,141,142,143,142,140,138,138,135,130,130,131,129,128,128,128,129,132,136,137,136,137,141,143,143,141,141,140,135,132,130,131,132,130,131,135,136,134,131,131,131,129,128,129,130,128,128,130,133,132,132,134,135,133,133,133,133,133,131,129,128,128,130,131,131,131,132,131,130,130,132,134,135,134,134,133,133,134,140,142,138,135,134,136,139,144,147,149,149,147,145,145,147,148,149,149,151,152,150,151,150,143,141,145,148,150,152,153,153,150,149,150,150,151,155,156,154,153,152,153,152,150,150,152,154,152,152,156,158,156,153,150,151,152,153,152,150,149,151,155,157,157,154,151,149,150,148,143,142,145,148,151,151,150,149,150,154,158,157,153,151,155,159,158,155,153,150,147,143,143,146,151,153,155,155,null],[132,131,134,135,135,136,137,138,140,142,142,139,138,140,142,143,143,142,140,142,144,145,143,142,142,143,143,143,142,144,144,141,140,140,142,144,146,147,146,144,143,145,146,146,145,143,142,143,144,142,142,145,149,148,147,146,146,147,150,151,150,147,145,146,147,147,145,143,144,146,148,148,147,145,143,141,140,140,141,142,143,146,145,144,143,145,147,148,148,145,142,139,140,142,145,149,151,149,147,148,149,149,147,148,150,150,149,149,148,146,144,144,144,143,140,138,139,142,142,140,138,139,142,144,146,146,146,145,145,147,148,148,147,147,146,145,144,141,138,136,138,141,142,140,139,140,142,146,150,151,148,145,145,146,144,142,141,141,143,145,144,142,142,141,138,136,135,136,138,140,141,140,138,138,139,141,141,143,147,148,146,142,140,141,144,147,148,148,149,149,148,147,147,147,147,146,144,143,143,140,137,137,140,142,142,143,146,146,143,139,138,140,141,141,142,144,147,150,149,145,142,141,142,142,142,142,139,136,135,136,138,136,134,134,136,137,135,132,132,135,138,138,137,136,136,136,136,136,136,133,130,130,131,132,133,134,134,134,134,136,138,139,138,138,139,139,138,135,132,131,130,130,131,132,132,133,135,136,139,139,137,136,137,139,139,138,138,136,134,135,138,138,137,137,137,136,135,133,130,131,132,133,134,135,134,130,127,127,126,124,123,123,123,124,127,129,131,133,132,130,129,131,132,132,132,134,138,141,141,141,142,143,142,140,138,138,137,137,140,141,138,135,134,135,135,131,129,128,127,129,131,130,129,130,134,136,134,134,137,141,142,141,138,136,132,131,131,134,133,130,130,135,137,136,134,133,132,131,130,131,132,132,130,130,132,133,135,137,137,135,135,135,134,133,130,129,128,128,128,129,129,130,131,129,129,128,130,132,133,133,133,133,134,134,136,139,136,134,135,136,140,145,149,149,150,148,146,144,145,148,150,150,151,151,149,151,151,145,141,144,147,151,153,153,149,146,147,151,153,153,154,154,152,151,149,149,150,152,152,152,154,153,153,155,155,152,147,147,150,153,152,151,151,151,151,153,156,158,156,153,149,148,146,144,145,146,145,146,148,149,149,151,153,156,157,155,154,159,161,157,153,150,148,148,147,146,147,151,155,156,154,null],[133,132,135,135,135,136,138,140,141,141,142,140,140,141,142,141,142,143,142,142,143,143,142,142,142,144,145,144,142,143,145,144,141,139,141,144,147,148,145,143,143,146,147,146,145,142,140,141,141,141,143,147,151,149,147,147,147,147,149,151,151,150,148,147,147,146,146,146,146,148,150,148,146,144,144,143,141,140,142,144,145,145,145,145,147,149,150,150,147,143,140,140,142,144,146,148,149,148,147,149,149,148,147,147,149,150,150,150,148,146,144,143,141,139,139,139,142,145,144,142,141,141,142,143,144,145,145,145,143,144,145,145,146,147,147,145,142,140,139,139,140,142,143,142,140,139,139,143,148,150,149,147,150,151,148,145,145,145,146,145,143,142,142,142,141,137,136,138,142,143,143,142,142,143,144,144,142,143,146,148,147,145,143,142,143,146,147,149,150,148,147,149,150,149,147,144,142,143,145,142,138,137,140,144,144,145,146,145,142,139,138,140,142,143,143,144,147,149,150,149,146,144,143,142,142,141,138,136,136,135,134,134,135,137,139,139,136,133,135,137,139,140,140,138,137,136,136,136,135,133,132,133,134,133,134,134,135,134,134,135,137,138,138,139,140,141,139,136,133,130,129,130,132,132,133,133,134,135,139,141,139,137,138,139,139,138,138,137,134,132,135,135,134,132,132,131,131,131,129,130,131,132,132,133,130,128,128,128,126,125,125,125,124,123,127,130,131,133,133,132,132,133,133,131,129,133,138,140,141,142,141,141,140,138,137,137,138,140,142,141,136,133,132,132,133,133,130,128,128,131,134,133,132,132,134,134,133,132,133,137,139,138,134,130,129,130,132,135,136,133,131,133,136,137,137,135,135,134,134,132,133,134,132,131,132,134,136,137,136,135,135,135,134,133,132,130,128,128,128,129,130,129,128,128,129,129,131,132,133,134,135,136,136,135,134,135,137,137,137,137,140,145,147,146,146,144,144,143,145,149,149,148,150,150,147,147,149,148,144,143,144,149,151,149,145,143,146,152,153,150,150,151,150,149,149,149,153,156,153,151,151,151,152,153,152,148,143,145,150,153,151,151,152,153,151,149,152,155,155,153,149,147,146,147,150,149,147,147,148,149,150,152,152,154,157,156,156,159,158,153,151,150,148,150,152,149,147,148,151,153,152,null],[136,134,137,136,137,138,140,141,140,140,143,142,142,142,142,142,142,142,141,142,143,142,142,143,143,143,146,145,143,142,144,145,143,140,141,143,145,144,142,141,143,146,146,146,145,142,140,139,140,141,145,148,150,149,148,148,148,149,149,149,150,152,152,150,148,147,149,149,147,148,150,147,144,143,142,141,141,142,144,144,144,145,146,147,148,150,150,148,144,141,141,142,142,143,146,148,148,147,147,149,148,147,147,147,146,147,149,150,148,146,144,142,140,139,139,141,144,146,145,143,143,144,144,144,145,145,145,144,143,143,143,143,144,145,144,140,138,140,143,144,141,138,139,142,142,141,140,142,145,148,149,150,154,155,152,149,150,151,149,146,142,141,143,144,142,137,135,138,143,147,147,147,149,150,150,148,146,145,145,147,147,147,146,144,144,145,147,149,149,146,146,148,150,149,147,145,144,145,145,142,138,137,139,143,146,148,147,145,142,138,138,140,143,143,142,143,146,150,152,151,148,146,144,143,140,137,136,136,137,136,133,132,134,137,140,140,137,135,136,139,141,142,142,140,138,137,137,136,134,133,135,136,137,137,135,134,135,136,137,137,137,136,136,138,140,142,140,138,133,130,129,130,130,130,131,132,132,133,137,141,140,138,138,139,139,138,138,136,134,133,134,133,132,131,131,130,130,130,131,130,129,130,131,130,127,126,128,129,127,125,125,125,125,124,127,130,131,132,133,135,135,135,136,133,131,133,136,137,137,137,136,135,136,139,141,141,142,143,143,141,137,135,135,132,130,131,130,128,129,133,137,137,137,137,135,133,133,133,133,136,139,138,133,130,129,130,133,136,137,136,135,133,132,133,134,136,138,139,137,134,132,133,133,132,132,133,135,136,135,133,133,134,135,136,135,131,128,128,130,132,131,129,127,127,128,129,130,132,134,136,137,137,137,137,135,135,138,139,138,138,141,144,143,142,142,142,140,142,146,150,148,144,146,148,146,145,147,150,148,145,144,145,147,146,142,142,145,151,149,146,147,150,151,152,152,153,156,158,153,148,147,148,149,151,151,148,143,143,150,151,149,150,151,149,147,148,152,153,154,154,153,151,150,151,152,154,153,151,149,147,148,151,154,156,157,156,155,154,154,154,155,156,154,152,150,148,147,147,147,148,150,null],[138,136,138,138,139,140,141,141,140,141,143,144,143,141,141,140,141,141,141,142,143,142,143,145,144,143,145,145,143,142,143,143,143,142,143,144,143,141,139,139,141,143,143,143,142,141,140,139,139,142,145,147,148,149,150,149,151,152,150,148,149,153,154,151,148,148,150,150,147,147,148,145,143,143,141,138,139,143,145,144,143,145,147,148,148,147,147,144,142,142,145,145,144,143,147,149,148,147,148,149,148,147,148,147,144,144,147,148,146,143,141,141,143,141,140,142,145,147,145,144,145,146,146,146,146,146,144,142,143,143,143,142,143,144,141,138,137,141,145,146,141,136,137,141,143,144,143,142,142,145,149,153,155,154,152,151,151,151,149,144,141,141,144,145,142,138,135,137,142,147,149,151,152,152,153,152,150,149,149,148,148,149,148,145,146,148,150,150,148,145,144,145,146,146,146,146,145,144,143,140,138,137,139,143,147,149,147,144,140,137,138,140,141,141,141,144,147,149,150,149,148,147,145,142,137,134,133,135,138,138,136,134,134,136,139,140,137,136,137,141,143,143,142,141,138,136,135,134,132,132,133,135,137,139,137,135,135,136,139,139,138,135,134,136,139,140,140,138,134,130,130,131,131,130,130,132,133,135,136,138,139,139,138,139,139,139,138,136,135,136,136,135,134,134,134,133,132,132,131,130,130,131,131,128,125,125,128,128,126,125,125,124,124,125,126,129,131,132,135,136,136,136,136,136,135,134,134,133,134,134,135,134,135,139,143,143,142,143,142,142,140,141,140,133,129,129,130,129,129,132,136,138,138,139,136,133,134,135,135,139,141,140,136,133,132,134,136,137,137,138,138,134,131,130,133,137,141,141,140,136,134,134,136,135,133,132,133,134,133,132,133,135,137,140,138,133,129,127,130,133,132,129,127,127,126,126,128,131,134,136,136,136,136,136,137,137,139,138,137,138,140,140,138,137,140,140,139,143,148,149,145,141,142,145,145,145,147,149,149,147,145,145,147,148,146,146,146,148,147,145,146,150,153,154,154,156,158,156,151,147,145,145,147,148,149,148,145,145,150,149,146,147,147,144,145,149,152,152,153,154,155,152,152,153,153,155,156,156,153,150,149,151,155,158,158,156,153,153,156,158,158,157,156,151,146,145,148,151,149,145,147,null],[138,137,139,140,139,139,140,140,141,142,144,145,144,141,138,137,140,142,142,142,143,142,143,144,143,142,144,144,142,142,142,140,140,141,144,145,144,142,140,139,138,138,139,139,139,140,141,140,140,142,143,144,145,147,150,151,153,153,151,149,149,153,153,150,147,148,149,150,148,146,146,145,145,145,141,137,139,143,145,143,142,145,147,149,148,145,144,141,141,144,148,149,146,146,149,149,147,147,148,150,148,147,149,148,144,143,145,146,144,140,138,142,146,144,141,142,145,147,146,145,146,147,147,147,148,148,145,142,143,145,146,145,143,142,140,140,142,145,145,143,140,137,137,140,141,144,146,144,141,144,149,153,151,149,149,149,147,145,144,142,141,142,145,144,141,139,139,138,139,142,146,148,148,149,152,153,153,153,153,150,148,148,148,146,148,152,152,150,149,147,144,143,143,143,144,145,144,142,141,139,138,139,140,144,147,148,145,142,138,138,140,142,141,140,142,145,146,146,145,145,147,147,145,141,137,133,133,136,137,139,141,139,136,136,138,139,138,137,139,142,143,141,140,139,136,132,131,131,131,131,132,133,135,138,138,136,135,136,138,140,140,137,134,134,137,138,139,138,135,131,131,134,135,133,131,132,135,137,137,137,138,139,139,140,140,140,139,137,137,137,139,139,139,138,137,136,135,133,131,131,132,133,131,128,125,126,127,126,125,125,125,124,124,124,126,127,129,132,135,136,135,134,134,135,136,136,134,132,133,135,138,138,138,138,140,140,139,140,142,142,142,143,141,134,130,131,133,132,129,130,133,134,135,136,136,135,135,136,138,142,143,142,138,136,135,137,139,138,138,139,139,136,132,132,136,140,142,141,141,139,138,137,138,137,135,133,133,133,132,132,136,138,140,140,139,136,131,128,129,132,131,130,130,129,127,125,126,130,132,133,134,134,133,134,136,137,138,137,136,136,136,135,133,134,138,140,140,144,147,148,143,139,140,143,146,148,148,145,145,147,147,149,151,153,153,152,149,146,147,148,148,149,151,153,155,157,156,153,150,148,146,146,147,146,145,146,147,149,150,147,144,144,145,145,148,150,151,151,151,152,151,147,149,153,153,153,154,156,156,155,154,154,155,158,159,156,154,157,161,161,156,152,151,149,146,145,150,156,155,149,146,null],[139,138,140,141,140,139,138,139,141,144,145,144,143,142,138,136,140,143,143,142,142,142,142,141,140,140,143,143,141,141,140,139,138,140,142,144,145,143,141,139,137,137,138,139,140,141,142,142,142,141,142,143,145,146,147,151,152,151,149,148,149,151,151,148,146,148,150,150,150,149,147,146,146,145,142,138,139,142,143,143,144,145,147,148,147,146,144,143,142,144,148,150,149,147,148,148,146,145,146,148,146,146,148,147,143,143,144,144,142,140,139,142,146,147,145,143,143,145,145,145,147,147,147,147,148,149,147,145,145,146,147,145,142,140,140,142,146,147,146,142,138,137,138,141,141,144,147,146,144,147,150,150,148,146,145,145,143,142,142,143,143,144,145,144,141,142,143,140,138,138,140,140,140,142,146,148,150,151,150,148,146,146,147,147,150,154,154,152,151,150,149,146,144,143,144,145,144,141,139,140,141,140,140,142,144,146,145,143,140,140,143,145,143,141,141,142,142,141,141,144,146,146,145,142,139,137,137,137,137,137,140,140,138,137,138,139,139,139,142,144,142,138,137,137,135,131,129,130,132,133,133,134,136,138,139,138,137,136,137,140,140,138,135,135,137,138,139,138,136,134,134,136,137,136,132,131,133,136,137,137,137,139,141,141,142,142,140,138,137,138,138,139,139,138,138,137,136,134,131,132,133,134,132,128,125,125,125,124,123,125,126,124,124,125,126,127,128,129,131,133,134,132,131,132,134,136,135,133,132,135,139,142,142,140,138,138,139,140,142,142,140,139,137,132,130,132,135,134,131,129,130,133,133,134,136,138,139,139,140,141,143,142,139,136,134,134,136,138,139,140,140,138,135,134,137,139,139,139,140,139,138,139,140,139,137,133,132,132,132,134,139,140,137,137,138,138,136,132,132,132,131,132,133,132,131,129,128,128,130,131,131,131,130,130,132,134,135,137,138,137,135,134,133,133,137,141,143,144,146,148,144,138,138,143,147,148,146,143,143,146,148,149,151,153,154,153,151,147,148,151,151,150,149,151,153,153,152,151,150,150,149,149,147,144,142,144,147,148,147,144,142,143,146,149,150,150,151,149,148,148,147,145,148,153,154,153,155,156,157,158,158,158,158,159,160,158,156,158,160,159,156,152,148,149,151,148,149,155,157,154,150,null],[140,139,141,141,140,140,139,138,140,143,145,144,143,142,139,137,139,142,143,141,140,141,141,140,137,139,141,142,140,139,139,140,139,138,139,142,143,142,140,138,137,138,139,141,142,143,144,144,143,142,142,144,146,145,144,148,150,149,147,146,147,149,149,146,146,149,151,150,149,149,148,147,145,143,140,139,140,141,142,143,144,145,146,146,146,147,146,146,145,145,147,150,151,149,148,146,144,144,145,145,143,143,146,145,142,141,142,142,141,141,143,144,145,147,147,143,142,142,142,144,147,147,146,147,148,148,148,148,147,147,147,145,142,141,142,143,145,146,146,144,139,137,138,141,142,144,145,146,146,149,149,147,146,145,143,143,143,142,143,145,145,145,145,144,142,143,144,141,138,136,136,136,137,139,141,142,144,145,145,144,144,145,146,148,151,154,154,153,152,152,152,149,147,147,147,148,147,144,142,142,142,140,141,142,142,144,145,145,143,143,145,146,146,143,140,139,139,138,140,144,146,146,145,143,141,140,139,138,137,137,137,139,141,140,139,140,141,141,143,143,141,138,136,137,136,133,130,130,133,134,135,137,139,139,140,140,138,136,136,139,140,139,137,136,137,138,139,139,138,138,138,139,137,135,133,131,132,134,135,134,135,137,141,142,143,142,139,137,138,138,137,137,138,137,136,135,134,132,132,132,134,135,133,128,125,125,124,123,123,126,127,126,126,127,127,128,127,126,127,130,132,133,131,130,133,136,136,134,132,133,137,142,144,142,139,141,143,143,144,142,139,136,133,131,130,132,135,135,133,130,130,133,135,135,137,139,141,140,138,139,141,142,141,137,134,132,135,138,141,141,140,139,135,134,135,136,136,138,139,138,137,138,141,141,137,133,131,130,132,135,140,139,134,134,138,139,139,138,136,135,133,135,136,134,133,132,130,128,129,130,131,129,128,128,128,128,129,135,140,139,135,135,134,134,136,140,143,142,142,146,142,137,139,144,148,146,142,143,145,146,147,148,147,148,149,150,150,148,149,151,151,150,149,152,153,148,148,150,151,150,149,149,145,142,140,141,144,145,144,143,142,143,146,149,149,148,148,147,145,146,147,148,151,154,155,155,155,155,156,158,160,161,160,160,162,162,160,159,158,157,158,156,150,152,156,150,147,151,157,158,155,null],[140,141,141,140,139,141,140,139,140,143,145,144,142,141,138,137,138,141,142,140,138,138,140,141,139,139,140,141,140,138,138,140,138,136,137,138,139,139,138,137,137,138,139,141,143,144,145,145,144,143,143,144,145,145,144,145,147,146,145,144,146,147,147,147,148,150,150,149,147,147,147,145,143,141,140,140,141,142,142,142,143,145,147,147,147,146,147,148,147,146,147,149,150,149,150,148,145,146,146,143,141,142,143,143,141,140,139,139,139,142,145,146,145,146,146,143,140,140,141,142,144,145,145,145,146,147,149,149,147,147,146,144,143,143,143,143,142,144,146,145,141,137,136,139,143,145,144,144,146,147,147,146,145,144,144,146,147,145,144,146,147,147,146,144,143,142,142,141,140,139,137,139,142,143,142,139,139,140,141,143,144,145,146,148,151,153,154,153,150,151,151,148,148,150,150,150,150,148,146,142,140,140,143,145,144,143,145,145,144,143,143,145,146,143,140,140,140,139,141,144,146,146,145,144,142,140,139,139,141,140,138,139,142,142,142,143,143,142,141,140,140,140,139,138,137,134,131,131,132,133,135,138,139,139,140,140,138,135,135,139,141,140,138,137,137,137,138,139,139,140,142,140,136,134,134,134,133,133,132,132,132,134,138,142,143,141,139,138,140,140,138,136,136,135,134,132,131,130,131,133,134,134,131,127,126,127,126,125,125,127,128,127,127,128,128,129,127,126,125,127,132,134,133,133,135,137,138,138,136,134,135,138,140,142,143,145,146,145,144,143,141,138,135,134,133,132,133,135,135,133,132,134,137,138,137,137,138,137,136,138,141,144,144,141,137,136,138,141,143,143,140,136,133,133,135,136,136,139,140,138,137,138,142,142,138,133,130,130,131,134,137,137,135,136,138,138,139,141,140,138,137,138,138,135,133,132,131,130,130,131,132,130,129,130,128,125,125,131,137,137,134,133,133,134,136,138,139,138,138,141,138,135,140,146,147,142,140,144,147,146,147,147,145,142,143,145,147,147,148,147,148,148,149,153,152,146,146,150,151,149,146,145,143,141,139,139,141,145,146,145,142,143,144,144,144,144,144,144,146,149,151,152,154,155,154,152,153,153,155,158,161,162,161,160,161,164,165,163,160,160,160,158,154,155,156,150,146,151,157,158,156,null],[138,138,140,139,139,141,141,140,140,142,143,142,140,139,139,138,136,136,139,139,137,136,138,140,139,139,139,140,140,137,137,139,137,136,137,137,136,135,136,136,138,139,139,141,143,145,146,144,143,143,142,142,144,145,145,143,144,145,144,143,144,145,146,148,149,149,148,147,144,143,143,143,142,141,141,143,144,144,143,142,143,146,148,149,148,147,147,148,149,148,148,147,148,150,152,150,146,146,145,142,143,144,142,141,142,142,140,138,139,141,144,145,146,147,146,143,141,141,142,143,144,144,144,145,146,148,149,149,147,147,146,144,142,143,143,143,142,143,145,146,143,138,137,139,142,143,142,142,144,145,146,147,145,144,146,148,149,148,147,147,148,148,146,145,143,141,139,140,143,144,142,143,147,149,146,140,137,138,140,143,145,147,147,146,148,152,154,153,150,150,149,145,145,148,149,148,149,149,146,141,138,140,143,146,145,144,144,144,144,143,142,144,145,144,141,141,142,141,141,143,145,146,146,144,141,139,139,141,143,142,140,140,141,143,144,145,144,142,140,138,138,139,139,137,135,134,133,132,131,132,134,137,137,138,138,139,138,136,136,139,141,141,139,137,136,136,136,138,139,140,141,139,135,133,135,136,135,134,133,133,133,133,135,140,143,142,140,140,141,139,136,135,135,136,134,131,130,130,131,132,134,134,130,127,127,128,128,126,125,126,127,127,127,127,128,129,128,127,125,126,131,136,137,136,137,137,140,142,141,139,138,136,136,139,142,144,144,143,143,143,141,139,136,135,134,132,133,136,137,134,131,134,137,138,136,135,136,136,137,139,142,143,145,145,143,141,143,145,144,142,138,135,134,135,135,136,139,141,141,138,136,138,142,143,140,135,132,130,130,132,134,135,136,136,136,136,138,140,141,141,141,142,140,136,133,133,133,132,132,132,131,129,130,132,129,125,126,130,133,133,132,131,132,134,138,140,138,137,137,139,137,136,142,147,146,141,140,145,147,145,146,147,143,140,140,143,145,146,146,145,145,147,149,152,150,145,146,149,149,146,144,143,143,141,140,141,145,148,147,144,141,142,143,141,141,142,142,145,148,151,153,154,154,154,150,149,151,153,154,157,161,163,160,159,160,163,164,164,163,163,162,161,158,156,153,147,146,151,157,159,158,null],[136,136,137,137,139,141,141,139,139,140,141,139,138,139,141,140,136,134,137,138,137,135,136,137,138,139,139,139,140,136,136,137,136,136,139,138,136,135,136,137,138,140,141,142,143,146,146,143,141,141,140,141,142,144,144,142,142,143,143,142,142,143,145,147,148,147,146,146,143,142,141,141,142,143,144,146,147,146,143,142,144,147,149,149,149,148,147,148,149,149,147,145,146,150,151,150,148,146,144,144,147,147,143,140,143,145,144,142,140,140,142,144,146,148,148,145,144,145,145,145,145,145,144,145,147,150,150,149,148,147,145,143,142,142,143,144,143,143,143,145,145,140,139,140,140,140,141,142,143,144,146,147,146,146,147,149,150,150,149,148,147,147,147,146,143,141,139,140,146,149,146,145,148,151,149,142,137,138,141,144,146,147,146,144,147,152,154,153,151,150,147,143,142,144,145,146,146,146,143,141,140,140,142,144,145,144,145,145,144,144,144,144,145,145,144,143,143,142,140,141,144,147,147,145,142,142,142,143,143,143,141,141,142,143,144,145,144,142,140,138,137,137,136,134,133,134,136,135,133,132,133,134,135,136,137,138,137,136,136,139,140,140,140,139,137,136,136,136,138,139,140,139,136,135,136,136,136,136,136,136,136,135,135,139,143,144,143,142,141,138,135,136,137,137,135,132,133,133,132,131,133,133,132,129,127,128,129,127,125,125,125,126,125,125,126,127,128,127,126,127,131,135,137,137,135,137,140,143,144,143,141,138,135,136,139,140,140,142,143,144,142,139,136,134,131,130,134,139,138,134,131,133,135,134,133,134,136,138,139,141,141,140,142,145,143,142,144,146,144,139,136,137,139,138,135,137,141,142,140,138,137,139,143,144,143,137,133,131,131,132,132,134,136,134,132,134,137,139,140,141,142,143,141,138,137,137,137,135,134,132,130,128,129,131,130,129,129,131,131,131,130,132,132,133,140,144,142,139,138,142,142,140,143,145,144,140,140,144,146,143,144,146,141,139,139,142,144,144,144,145,145,146,148,148,147,144,145,147,147,145,144,144,142,141,141,144,148,149,145,142,142,144,145,142,142,144,145,148,151,151,152,153,152,149,147,148,152,153,154,156,161,163,160,158,159,160,160,161,162,163,162,161,160,156,150,147,147,151,156,159,159,null],[139,138,135,136,138,141,140,138,138,139,140,138,137,139,141,141,139,136,135,135,136,135,135,136,139,140,138,138,139,137,136,136,137,137,139,138,137,137,138,137,138,140,142,142,142,144,144,141,140,140,140,140,141,141,141,140,140,140,141,141,141,142,146,147,146,147,147,148,146,144,143,142,143,145,146,146,147,147,144,142,142,145,147,147,146,146,148,148,148,148,147,145,145,146,148,149,148,147,147,147,147,146,144,142,144,147,148,146,142,141,142,145,147,148,148,147,147,147,145,145,147,147,145,144,145,147,149,150,148,147,145,144,142,141,143,145,144,143,142,144,144,142,140,139,139,140,143,143,142,142,144,146,147,149,149,150,149,148,146,145,145,146,147,146,143,141,140,142,145,148,148,145,145,149,148,142,138,140,143,145,144,143,144,146,150,154,154,153,151,149,146,143,142,143,145,145,144,143,142,142,142,141,142,143,143,144,146,147,147,147,145,144,145,146,146,146,145,144,141,140,143,147,149,148,147,146,146,145,144,143,142,143,144,144,144,146,145,142,139,137,136,135,134,133,133,135,139,140,138,136,134,133,134,136,138,139,138,137,136,137,138,140,142,141,138,138,138,137,137,140,141,141,139,138,138,136,136,138,138,138,139,139,138,139,143,146,145,143,141,140,139,139,139,137,134,133,135,136,133,131,133,134,134,132,128,127,128,128,126,124,124,125,126,126,126,126,126,126,127,127,129,132,135,134,132,134,137,139,139,141,142,142,139,138,138,138,140,143,146,146,142,140,138,132,128,130,135,140,140,137,135,134,132,129,131,135,136,136,137,137,137,137,138,139,138,139,144,146,143,137,136,140,142,139,135,137,141,141,139,140,139,139,141,144,143,137,132,133,133,133,134,134,133,131,131,134,138,139,139,139,139,139,139,139,140,142,141,138,136,134,131,129,129,130,131,131,130,130,131,131,131,133,132,131,136,142,144,142,141,144,145,144,143,142,140,138,138,143,146,143,142,142,140,138,138,141,143,143,145,147,146,145,145,145,145,143,142,143,147,148,145,142,139,139,140,142,143,144,143,143,144,148,148,146,146,149,151,153,154,153,153,153,149,147,149,152,152,151,153,157,162,165,160,156,157,159,159,161,162,163,159,156,155,153,150,150,152,153,153,155,156,null],[142,140,135,134,136,140,141,139,137,138,139,137,136,138,140,140,141,139,136,135,135,135,135,137,140,140,136,135,137,138,138,138,138,137,137,137,138,140,140,138,138,140,141,141,139,140,140,139,139,140,139,139,139,139,139,139,139,139,141,142,141,143,146,146,146,148,150,150,149,146,144,143,145,147,148,148,148,147,146,143,141,143,145,145,145,146,148,147,146,146,147,145,143,143,146,148,148,149,149,148,145,143,144,145,145,147,148,146,143,141,142,145,147,147,146,148,149,148,145,145,147,148,146,144,143,144,147,149,149,148,147,145,143,142,144,146,144,143,143,144,143,141,139,138,139,141,143,143,142,141,142,144,147,149,150,149,147,144,143,142,143,144,146,145,141,139,141,144,144,144,146,146,145,147,146,141,138,141,146,147,145,142,143,148,152,154,154,153,152,148,144,143,144,145,147,146,144,143,143,143,142,143,144,144,143,145,148,148,148,148,146,144,144,146,148,148,148,146,143,141,142,146,149,150,151,150,148,146,146,145,144,145,146,145,144,145,144,142,140,139,138,136,135,135,136,138,142,144,142,138,135,134,135,138,139,140,139,137,135,135,137,140,142,141,140,139,139,137,137,140,142,143,142,141,140,138,139,139,138,137,138,139,140,139,141,145,144,142,140,140,140,140,139,138,136,134,136,135,132,132,134,135,135,133,129,126,128,130,129,126,125,127,129,128,128,126,125,125,125,127,128,130,131,130,129,131,133,134,135,137,140,142,142,141,139,138,140,143,147,146,143,141,138,131,129,131,135,140,141,140,138,136,132,129,130,134,134,134,134,134,134,136,136,136,136,139,143,146,144,140,140,143,142,138,136,139,142,141,140,143,141,139,140,142,140,136,135,137,138,135,135,135,133,132,133,135,137,137,137,135,135,135,137,138,142,146,144,141,138,136,133,130,130,130,132,132,130,130,131,131,132,134,132,130,132,137,141,142,141,143,144,144,142,140,138,138,139,145,147,143,139,139,141,142,142,142,142,144,147,149,148,144,142,143,144,142,139,141,147,149,145,140,137,139,140,139,137,138,143,145,146,148,148,147,149,152,152,153,154,154,153,152,149,149,153,155,151,151,155,159,162,162,157,153,153,157,161,162,161,159,155,153,153,152,151,155,157,155,151,150,152,null],[141,140,136,132,133,137,140,140,138,137,136,135,135,137,139,139,138,139,139,138,136,135,136,139,140,139,135,133,136,139,140,139,137,134,133,136,139,140,140,139,140,141,140,138,137,138,138,137,138,140,139,137,138,139,141,140,141,143,146,146,144,145,147,147,148,150,150,149,149,147,144,145,146,147,150,151,148,147,148,145,142,143,145,145,146,148,148,145,145,147,148,145,143,143,145,147,148,150,150,147,144,143,145,147,147,147,146,145,143,141,140,142,145,145,144,146,148,149,147,147,148,148,147,146,144,142,145,148,149,150,149,145,142,143,146,146,144,144,145,145,142,139,138,139,139,141,142,142,142,143,144,145,146,148,150,149,146,143,141,140,141,142,144,142,138,138,142,146,145,142,144,147,148,147,145,140,138,142,147,149,147,144,145,149,152,152,153,153,151,147,144,145,147,147,147,146,143,144,145,143,142,143,146,146,145,147,150,149,147,147,147,145,144,145,148,149,148,146,144,142,141,143,147,150,150,151,149,147,147,147,145,145,146,145,144,143,142,141,142,142,140,137,136,137,140,143,145,145,141,136,134,136,138,139,139,139,139,136,135,135,137,138,139,140,140,140,139,138,138,138,140,141,142,141,142,142,141,140,137,136,136,137,138,139,141,142,142,140,138,137,137,138,139,139,138,136,135,133,131,132,135,136,135,132,129,128,130,132,132,128,128,132,133,131,130,128,126,124,124,126,128,129,128,127,127,129,131,133,135,137,139,140,141,142,141,140,139,141,143,144,142,139,136,133,132,133,134,137,139,140,139,138,136,133,131,131,132,133,135,136,136,136,137,138,140,141,143,146,147,145,144,145,142,138,138,141,144,143,143,145,143,141,141,140,138,138,140,142,140,136,134,136,137,136,135,134,134,134,133,132,132,133,135,138,143,147,146,142,140,138,135,132,131,132,134,133,131,129,130,131,131,133,132,131,132,134,136,138,138,138,140,142,141,139,139,140,143,147,146,140,137,139,145,148,148,145,143,145,146,148,149,145,141,143,144,140,138,141,144,145,142,139,138,141,142,140,138,140,144,147,146,145,145,147,150,151,149,148,150,150,150,149,151,154,156,153,149,152,158,159,159,156,152,150,152,156,161,162,159,154,153,155,157,154,151,156,160,157,152,150,151,null],[141,141,137,133,131,133,138,141,140,136,134,133,135,138,140,139,137,137,138,137,135,136,137,139,140,137,134,133,136,138,139,137,134,132,134,136,137,137,139,141,141,139,137,137,140,142,141,138,139,141,142,141,140,140,142,141,144,147,149,148,148,148,149,149,149,149,148,148,148,147,144,145,147,148,149,149,146,146,148,146,144,146,147,147,148,149,147,145,144,148,149,146,143,143,144,144,146,147,148,146,145,144,145,147,148,146,144,144,145,144,141,141,144,145,143,143,146,148,149,149,150,149,148,147,145,143,144,146,148,149,147,144,143,145,146,145,143,145,146,145,140,138,139,141,141,141,143,142,142,145,147,146,146,147,149,149,147,144,141,140,140,140,141,141,139,139,142,146,146,145,145,148,149,146,142,139,141,145,148,149,148,147,148,150,152,152,152,151,148,146,145,147,148,148,147,146,144,145,146,143,141,143,146,147,147,148,151,151,149,147,146,145,145,146,148,147,146,145,146,144,140,141,146,148,149,151,151,150,149,147,145,144,145,145,143,141,139,140,142,141,138,136,137,139,142,145,145,141,137,134,135,138,140,140,140,140,140,137,135,136,137,137,137,139,141,141,140,140,140,138,137,138,140,141,142,143,143,141,138,137,137,136,136,139,142,141,139,139,138,138,136,136,137,138,138,135,133,131,132,133,135,136,135,132,131,131,132,133,132,131,133,137,137,133,130,127,125,124,124,126,128,128,127,126,127,129,132,134,138,140,141,141,142,143,143,142,141,140,141,142,141,139,137,138,138,135,134,136,137,138,138,139,139,137,133,130,131,134,135,137,138,139,140,141,143,144,145,147,148,146,146,146,142,138,138,141,144,145,145,146,145,141,140,139,138,139,143,144,141,136,136,139,140,138,135,135,135,135,133,132,133,134,135,138,143,147,145,141,140,138,136,134,135,137,137,135,132,130,130,131,132,131,132,134,134,134,134,133,134,135,137,140,139,138,140,142,143,145,142,136,135,139,145,149,148,143,142,145,146,146,149,146,140,142,143,138,138,140,141,140,139,138,140,144,145,144,145,147,148,148,148,146,147,148,150,150,146,144,146,145,145,149,154,156,154,149,146,149,154,155,155,154,152,152,155,157,160,160,157,154,154,157,158,154,152,157,160,159,157,155,152,null],[141,141,139,136,132,130,135,140,139,136,135,133,135,139,141,139,138,136,134,134,134,136,137,137,137,136,132,134,137,138,136,134,132,133,137,137,134,135,138,140,139,136,136,137,142,145,145,142,141,143,145,145,143,142,142,143,146,148,148,147,148,149,149,149,148,147,146,147,148,147,145,145,147,148,147,145,143,144,145,145,146,148,148,147,148,148,148,145,144,147,148,146,143,141,142,142,143,145,146,146,146,146,146,147,148,146,145,145,147,147,144,143,145,146,145,143,144,148,148,149,150,150,149,147,146,144,144,146,147,146,144,144,145,146,145,144,143,145,146,142,139,139,142,143,142,143,145,144,143,146,148,148,146,146,147,146,145,143,143,142,141,140,140,142,143,141,141,143,146,148,148,149,149,145,139,139,143,148,148,146,147,148,149,150,152,153,153,150,146,145,147,149,150,148,147,146,146,146,146,144,142,142,145,147,147,147,151,153,152,149,147,147,148,149,148,146,145,146,147,145,140,140,146,149,149,151,153,153,150,146,144,143,142,143,142,139,138,138,139,138,136,136,137,139,141,144,143,139,134,133,136,139,141,141,141,141,141,138,135,136,137,138,138,140,142,142,142,141,141,139,137,136,138,139,140,142,142,142,141,141,139,137,136,140,143,143,140,139,140,140,138,136,136,136,135,132,130,131,134,136,137,137,135,133,134,134,133,131,131,133,136,138,137,133,129,126,125,125,126,128,128,127,126,125,126,130,133,136,139,141,142,143,143,144,144,144,143,142,142,141,141,141,141,142,140,135,134,135,138,138,137,138,140,139,136,134,132,133,134,136,138,140,141,141,143,144,145,145,143,143,145,146,144,140,138,140,143,144,145,147,145,141,139,140,141,141,142,144,142,139,139,140,140,136,135,137,140,140,137,134,134,135,137,139,142,144,142,140,138,139,139,138,139,141,141,138,136,132,130,132,133,131,132,135,134,133,133,131,132,134,136,138,137,137,139,139,140,140,138,136,135,138,143,144,143,139,139,144,145,144,146,145,140,140,140,137,137,139,140,139,139,139,142,146,146,145,151,154,151,148,149,150,150,148,149,148,144,143,144,142,143,149,153,153,149,146,146,147,149,149,152,156,156,156,158,160,162,161,159,157,158,158,157,154,153,155,158,159,161,160,155,null],[138,139,138,138,134,130,135,140,138,136,136,133,134,138,140,139,137,133,130,131,134,134,134,133,133,132,132,134,136,137,135,134,132,134,138,138,137,137,138,137,137,137,137,137,140,142,143,141,141,144,145,145,144,143,143,145,147,146,144,144,144,144,145,146,147,146,146,147,148,149,148,147,147,146,145,142,142,142,142,144,146,147,147,146,147,148,148,145,143,143,145,144,142,141,141,141,142,144,146,145,145,145,147,148,147,146,145,145,146,147,146,145,146,146,146,144,145,147,147,147,150,152,150,147,146,146,146,146,146,145,145,147,148,145,143,142,143,144,144,141,139,141,144,145,144,145,146,145,146,148,148,147,146,146,145,142,141,142,144,145,144,142,142,144,145,143,141,141,143,146,149,152,151,145,139,139,143,147,146,143,144,146,147,149,151,155,155,152,147,146,148,151,151,149,148,148,146,146,146,144,141,141,144,146,147,147,149,152,153,151,149,149,150,151,149,147,146,147,147,144,141,142,147,150,151,152,154,153,150,147,144,141,139,140,140,139,138,138,137,136,136,138,139,138,140,143,143,140,135,133,135,137,140,141,142,141,139,136,135,136,138,140,140,141,143,144,144,143,142,141,140,138,138,138,138,139,141,143,145,144,140,138,139,142,145,146,144,142,142,141,138,137,137,136,133,131,130,132,135,138,138,137,136,136,136,134,132,131,133,135,137,135,133,130,128,126,126,126,128,129,129,127,125,124,126,129,133,136,138,139,140,141,142,143,143,143,143,144,143,142,142,144,144,141,137,133,133,136,140,140,138,139,140,140,140,138,135,132,131,133,136,138,138,139,140,141,141,141,139,139,142,146,146,142,140,140,142,143,144,146,144,140,139,142,146,144,142,144,145,144,142,140,137,136,137,140,144,144,140,134,133,135,138,140,141,142,140,140,140,143,144,143,141,142,143,143,139,134,130,131,134,132,132,132,132,131,130,132,134,135,135,136,137,138,135,135,135,135,137,138,138,138,139,139,138,136,138,142,141,140,142,142,140,138,138,138,138,140,141,141,142,143,145,145,143,144,151,155,149,145,147,150,151,147,145,145,142,142,144,143,143,146,147,146,145,145,148,150,149,147,151,157,158,157,158,162,166,165,163,160,159,159,158,156,154,154,156,160,162,160,158,null],[136,137,138,136,133,132,136,139,138,137,137,134,134,138,139,137,133,131,129,131,133,132,131,130,129,129,131,133,134,135,135,135,134,134,136,138,139,140,140,138,139,141,140,139,137,138,139,140,142,143,143,144,145,144,145,147,146,144,142,141,139,140,141,144,146,146,146,146,146,148,149,149,147,145,143,143,144,143,142,143,145,145,145,146,146,147,146,144,142,141,141,142,141,141,142,142,143,146,146,144,143,144,147,148,148,147,146,144,145,146,147,146,145,145,145,146,146,147,147,147,149,151,150,148,148,148,147,145,146,147,148,149,147,144,142,143,144,144,143,141,141,143,145,146,146,146,145,146,147,148,148,146,146,145,144,141,140,141,144,146,145,144,145,146,145,143,142,141,141,142,146,151,150,145,140,139,142,144,142,141,141,143,146,149,152,155,155,152,148,146,147,151,152,151,150,149,148,147,145,143,142,142,144,146,146,146,146,147,149,149,149,149,151,152,151,149,148,148,147,144,141,142,147,150,151,153,153,150,148,146,143,140,139,140,141,139,139,138,137,137,138,140,140,139,140,142,142,140,137,134,134,137,139,140,141,140,137,135,134,135,137,138,139,140,142,143,143,143,144,144,144,142,139,138,138,140,142,145,147,145,141,140,143,145,147,148,147,144,142,140,139,139,139,137,134,133,132,133,136,138,138,138,138,138,137,134,132,132,134,134,133,131,129,128,127,128,129,130,130,129,130,128,126,125,126,128,130,132,135,136,137,139,139,140,141,141,142,143,142,142,143,145,143,138,134,133,134,137,140,141,142,141,141,141,142,141,137,132,131,131,132,134,135,136,137,137,137,138,139,138,141,146,148,144,141,140,142,142,144,146,145,142,140,143,147,146,145,146,147,146,143,141,138,138,140,141,143,143,139,135,132,135,139,142,143,143,142,142,143,145,144,141,140,140,141,140,137,132,129,131,133,132,131,130,130,130,128,131,135,136,135,135,137,137,133,132,133,133,136,139,139,137,136,136,137,137,137,138,137,136,138,139,140,138,138,141,142,144,144,144,143,144,145,143,142,145,149,149,145,144,147,150,149,144,142,142,142,144,148,147,145,144,143,142,143,146,150,153,152,150,150,154,156,156,156,162,168,170,167,162,160,160,160,157,155,155,158,161,162,161,161,null],[134,136,136,133,131,134,136,137,138,139,137,135,136,139,138,133,130,131,132,133,132,132,131,130,129,129,132,134,134,133,134,137,136,135,135,137,140,142,142,142,143,143,143,141,138,135,137,140,143,142,142,144,145,146,145,145,145,143,141,139,137,138,141,144,146,145,144,144,144,146,148,149,148,145,144,145,145,144,143,143,144,143,144,146,146,144,143,143,143,141,140,141,142,142,142,142,144,146,145,143,142,143,145,146,148,148,147,144,145,147,149,147,144,143,145,146,147,148,149,150,150,149,148,150,150,148,146,146,148,150,151,148,144,143,144,146,146,145,143,142,142,144,145,147,146,145,145,147,149,149,148,147,146,145,144,143,142,142,144,146,145,144,146,147,144,142,143,144,142,140,143,147,147,143,140,140,142,142,141,140,140,141,145,150,153,153,151,149,147,146,147,150,152,152,151,150,149,148,145,143,143,145,146,145,144,144,144,144,145,147,148,149,150,152,152,150,148,148,147,145,143,142,144,148,151,153,152,149,146,143,141,140,141,143,142,140,139,139,139,138,139,141,141,140,140,141,139,138,137,135,134,137,138,138,140,139,137,136,136,136,136,135,136,138,140,140,140,143,145,146,146,143,139,138,140,143,145,146,147,145,144,145,147,147,147,148,147,144,141,139,139,140,140,138,138,137,136,135,137,138,138,138,139,139,138,135,133,133,132,129,128,130,129,128,128,130,132,132,131,130,130,131,129,127,127,127,128,128,131,134,136,137,137,138,140,140,140,140,140,141,143,144,141,138,135,135,136,138,139,141,143,143,143,143,144,143,138,134,132,131,131,133,134,135,136,136,136,138,141,141,144,147,148,145,141,141,142,144,146,147,147,146,144,144,146,147,148,149,146,143,142,142,140,140,141,140,139,137,137,136,135,136,139,143,145,145,144,144,145,143,138,135,136,136,136,134,131,129,130,132,132,131,130,129,131,131,129,130,133,135,135,135,136,136,132,133,134,134,134,137,138,136,134,136,138,138,137,136,136,136,136,137,139,139,140,144,146,146,145,144,141,141,141,142,145,148,147,142,140,143,148,149,147,143,140,140,143,147,150,149,146,145,146,146,146,147,149,152,154,154,152,150,153,155,156,161,168,171,169,164,161,161,159,156,156,160,162,162,162,162,162,null],[131,131,133,133,134,136,135,134,137,138,136,133,134,137,135,130,129,133,138,138,136,136,135,134,133,133,135,137,137,136,137,139,138,137,138,140,142,142,142,144,145,144,144,143,140,137,137,140,143,144,144,143,144,144,144,142,143,143,142,139,138,140,143,146,145,142,143,144,145,144,145,147,146,144,143,143,143,142,141,141,142,144,145,147,146,143,141,142,142,141,141,141,142,142,141,142,143,143,143,141,142,143,143,143,145,147,147,145,145,148,150,148,144,143,146,148,149,150,151,152,152,151,150,150,149,147,146,147,150,151,149,146,144,144,146,147,145,144,144,142,141,142,143,143,145,146,146,148,151,152,150,147,145,145,146,145,144,142,143,146,146,145,146,146,144,142,143,146,145,143,143,146,147,143,140,142,143,143,143,142,140,141,143,147,148,148,146,145,146,147,148,150,152,153,151,150,150,149,145,143,144,147,148,145,143,143,145,145,145,148,148,147,148,151,153,151,148,147,148,147,145,143,145,148,151,151,151,149,146,143,142,141,143,143,142,141,140,140,140,141,141,143,144,142,140,138,137,136,136,135,134,135,135,137,139,139,137,138,141,142,139,136,136,137,139,139,139,141,144,145,146,143,138,138,141,145,146,145,145,145,146,147,148,146,146,147,147,145,141,139,139,140,140,140,140,140,137,136,138,139,139,139,140,141,139,137,135,133,130,127,129,134,134,130,128,130,133,133,132,133,132,131,129,128,128,128,128,127,128,132,135,136,136,136,137,137,138,139,139,139,141,142,140,139,138,137,137,138,139,141,143,142,142,145,147,146,141,136,133,133,134,134,135,136,137,137,137,138,140,143,146,147,148,146,143,142,143,146,149,150,151,149,147,145,147,149,150,150,146,141,140,140,139,139,139,137,136,136,135,137,138,137,137,141,145,145,144,143,142,139,136,133,132,132,133,133,130,129,131,133,133,132,129,128,132,133,131,131,132,133,134,134,135,134,133,133,135,134,134,135,137,137,136,137,140,139,138,137,139,139,137,136,139,141,143,145,145,144,142,140,140,140,140,141,145,146,142,137,137,141,145,146,144,142,141,142,143,145,147,147,146,147,151,153,150,147,148,151,154,156,154,152,152,155,158,162,166,170,168,163,164,165,160,158,160,162,162,160,161,163,161,null],[129,128,129,133,135,135,134,134,137,137,135,132,132,134,133,132,132,136,140,142,140,139,138,137,137,138,139,139,140,139,139,139,139,140,140,141,142,141,142,144,144,144,145,144,141,140,139,140,143,145,145,143,142,142,142,140,141,142,140,139,140,143,145,145,143,141,142,145,145,143,142,143,145,144,142,141,140,139,139,139,140,142,144,145,145,143,142,141,141,140,140,141,141,141,140,140,142,142,141,140,141,143,143,142,143,146,148,146,146,148,151,149,146,146,148,149,150,152,152,152,154,153,152,149,147,146,147,149,151,149,146,145,145,146,147,145,144,144,143,141,140,142,141,141,143,146,148,149,151,153,150,146,145,146,146,146,144,142,143,146,147,146,146,145,144,143,144,145,147,147,146,147,148,146,144,145,145,145,146,145,142,141,142,143,143,143,143,145,147,149,150,151,152,153,150,149,149,148,146,143,143,147,147,145,143,144,146,146,148,150,149,147,147,150,152,151,149,149,150,149,146,145,146,149,150,151,152,152,149,146,144,143,142,141,141,142,141,141,142,143,143,145,145,143,139,137,137,137,137,137,136,134,134,136,139,139,138,141,145,146,143,138,137,137,139,140,141,141,143,144,145,141,137,137,141,144,144,142,142,144,145,146,146,145,146,148,149,147,143,139,138,138,139,140,140,139,137,137,140,141,140,138,139,139,137,136,135,133,129,128,131,136,137,133,129,129,131,132,134,136,133,129,129,129,129,130,131,129,129,130,133,134,135,135,136,136,137,139,139,138,140,141,142,143,141,138,137,139,141,143,142,142,143,146,148,147,143,139,135,136,137,135,135,137,140,141,140,139,140,143,146,147,146,144,144,144,146,147,149,150,151,150,148,147,148,150,151,150,147,143,140,138,137,138,137,136,136,138,137,138,141,139,136,139,143,144,142,141,140,140,139,135,131,130,134,137,134,132,132,134,134,133,130,129,131,133,132,132,132,132,133,134,134,134,133,133,134,135,135,136,138,138,138,139,140,140,139,140,142,143,140,139,139,141,143,143,141,140,138,137,139,141,142,142,143,142,140,139,140,141,142,142,142,143,143,144,144,145,146,146,148,150,155,157,152,148,150,153,155,156,155,154,153,155,158,162,164,166,164,162,164,164,160,159,162,161,159,158,161,163,161,null],[130,128,129,132,133,131,131,135,137,138,137,133,131,132,134,136,136,136,137,139,140,139,138,138,139,140,140,139,138,139,140,139,141,142,140,139,140,142,143,143,143,143,146,146,143,142,141,142,143,143,144,143,142,142,141,140,140,141,139,138,140,143,144,144,142,142,143,144,142,142,142,143,143,144,143,141,139,139,139,139,138,138,140,143,144,144,142,141,140,139,139,140,140,140,138,139,142,143,142,142,142,143,143,143,145,148,148,147,147,149,150,150,149,150,151,150,150,152,153,154,155,154,152,149,148,148,149,150,149,148,146,145,146,147,146,144,144,143,142,141,142,144,144,143,143,145,147,147,149,151,149,145,146,147,146,145,143,143,143,144,146,147,145,144,144,145,145,144,146,149,150,148,147,149,151,150,147,145,148,147,143,143,144,142,141,143,145,147,149,149,149,149,150,151,149,147,146,146,145,143,144,146,146,144,143,144,146,147,148,150,150,148,146,147,150,152,152,152,151,150,147,146,146,148,149,152,154,154,152,149,146,144,142,140,140,142,142,142,143,144,144,145,144,142,139,139,141,141,139,140,139,136,135,137,139,140,141,143,146,146,142,138,136,138,140,142,143,144,145,146,145,142,138,137,138,140,140,140,142,143,143,143,144,147,149,150,151,148,143,139,138,137,138,139,139,138,138,140,141,140,138,136,135,134,133,133,133,131,129,129,131,134,136,135,131,127,127,130,134,136,131,127,129,131,131,131,132,131,130,131,131,132,134,136,137,138,138,139,139,139,140,141,144,146,143,138,137,139,143,144,143,143,145,147,147,145,142,140,139,140,139,136,134,138,143,145,143,141,141,144,146,145,143,141,143,146,148,148,147,147,147,149,149,148,146,148,150,149,147,145,142,140,140,139,137,136,139,142,141,140,142,140,137,140,143,143,141,141,143,144,141,137,131,130,137,143,141,137,134,133,134,133,132,131,131,132,134,134,133,133,134,135,135,135,134,133,133,135,137,139,140,140,139,139,140,141,141,141,142,143,144,142,141,140,140,140,139,138,138,138,139,142,145,145,142,140,142,146,147,145,143,143,144,145,145,146,146,148,148,149,151,154,157,157,153,152,153,156,157,155,154,155,154,154,155,160,164,161,159,160,160,159,158,158,160,158,157,160,161,162,161,null],[131,130,129,132,133,129,129,134,135,138,139,135,131,133,137,138,137,135,134,136,138,137,138,139,140,139,137,136,137,138,139,139,140,141,139,138,140,143,143,143,142,142,145,146,143,142,143,145,145,142,142,142,141,141,142,141,141,141,139,138,140,142,143,142,141,141,141,141,141,142,144,144,144,143,142,140,139,139,140,139,136,135,138,143,144,143,142,142,141,140,139,139,140,140,139,140,143,143,144,144,144,144,144,145,147,149,148,146,147,149,149,150,150,151,152,150,149,150,153,155,155,153,151,150,149,149,150,149,147,146,147,146,147,148,147,144,143,142,142,143,144,146,146,145,145,145,146,146,148,148,146,145,147,149,147,145,143,142,142,143,146,147,147,145,146,147,147,145,146,149,150,147,146,152,155,151,146,144,146,146,143,144,145,145,144,145,147,149,149,148,147,147,148,149,148,145,143,143,144,144,145,146,145,144,145,146,146,146,146,148,150,150,148,147,151,153,154,152,150,148,147,147,147,147,148,151,153,154,153,150,147,144,142,140,140,142,142,142,143,145,145,146,145,143,140,141,144,144,142,142,141,138,137,138,139,141,144,145,145,143,140,137,136,138,140,142,143,143,144,146,147,145,141,139,139,140,141,141,143,144,142,141,144,149,152,152,150,146,142,140,141,140,139,139,138,138,140,143,143,139,135,134,133,133,132,133,132,130,128,130,131,132,135,136,132,127,125,130,136,136,130,126,129,133,133,132,132,132,132,132,132,132,133,135,137,138,138,139,139,139,141,143,145,146,144,140,138,139,142,143,143,143,144,147,147,144,140,139,140,140,138,135,135,138,142,143,142,142,142,142,142,141,142,142,144,147,148,148,146,146,146,146,147,145,143,146,149,148,146,145,143,141,140,137,135,137,142,146,144,143,144,141,139,140,143,145,143,143,145,145,142,137,133,133,138,143,145,142,135,133,133,133,133,133,132,133,133,133,133,133,134,135,136,136,136,134,133,134,136,139,139,139,138,138,140,140,140,140,141,142,144,145,144,142,140,139,138,139,142,143,141,142,147,148,144,140,143,148,149,148,145,147,149,148,147,147,147,148,150,153,154,156,156,156,157,158,157,158,157,156,157,157,156,155,157,162,164,158,157,162,160,155,154,156,158,156,155,158,160,160,161,null],[133,132,131,133,134,131,130,131,132,136,137,133,130,134,137,135,134,133,134,134,135,137,139,141,140,138,134,135,137,136,137,139,139,139,139,141,144,144,143,143,143,142,144,146,145,143,144,147,147,143,140,139,139,141,142,143,142,140,139,140,140,142,142,141,139,139,138,140,143,145,145,146,145,142,140,140,140,139,139,137,136,136,139,142,143,142,141,141,141,141,139,137,138,139,140,141,141,142,144,145,146,146,146,147,147,149,148,146,146,147,149,149,150,150,150,151,150,150,152,154,153,152,152,152,152,150,148,146,145,146,148,147,147,147,147,144,141,141,143,145,145,146,146,146,147,147,147,148,148,147,145,146,149,151,149,146,143,142,142,143,146,148,148,147,148,148,148,148,149,150,148,146,147,153,155,150,145,144,144,144,143,144,145,147,147,148,149,150,150,148,146,146,147,148,147,145,143,142,143,145,147,148,145,145,147,148,147,146,146,147,149,150,150,151,153,154,154,152,149,147,146,148,150,149,147,147,150,152,153,151,148,144,142,141,141,141,141,141,143,145,145,146,145,143,141,142,144,145,144,142,140,139,139,139,139,142,145,146,143,140,139,139,138,138,140,141,140,141,142,145,148,147,143,141,141,143,144,144,146,146,144,143,144,149,152,150,147,144,141,142,144,144,142,140,138,139,143,145,143,138,133,133,134,135,135,134,132,130,129,131,133,134,136,136,133,129,127,132,137,137,131,127,129,132,132,132,131,132,133,134,134,133,131,132,133,134,136,138,139,140,142,143,144,144,144,143,140,139,141,142,141,141,143,146,147,144,139,136,139,138,137,136,137,138,138,138,140,141,141,140,138,139,142,145,146,146,147,146,147,149,149,146,145,144,143,146,148,147,144,143,142,142,140,135,133,136,141,145,145,145,146,144,141,140,142,146,146,144,144,142,139,137,136,139,139,140,145,143,136,132,131,132,132,133,134,134,131,131,132,134,135,136,138,138,137,136,134,135,136,137,137,136,136,137,139,139,138,139,140,140,141,143,146,145,142,141,141,142,145,147,144,144,146,149,146,142,142,144,146,146,146,149,151,150,149,147,146,147,151,154,154,153,153,156,161,161,159,157,158,159,160,160,159,159,162,164,162,156,158,163,161,154,152,154,156,155,154,156,156,157,159,null],[134,135,136,135,135,135,131,127,129,132,132,129,128,133,133,132,132,134,134,133,134,138,140,139,137,135,135,136,137,137,138,138,138,139,140,143,146,145,144,144,144,143,145,147,147,146,146,148,148,144,139,138,139,140,141,142,141,139,139,139,139,139,141,141,139,138,138,141,145,146,145,145,144,142,142,143,142,139,137,137,138,140,140,139,140,141,141,140,139,140,138,136,136,137,139,139,139,142,144,144,145,146,147,146,146,148,148,146,144,145,147,149,150,148,148,151,150,149,151,153,152,152,154,155,154,150,146,145,146,147,148,148,146,146,146,144,142,142,143,145,146,147,147,149,150,150,149,149,149,147,146,147,150,151,150,147,145,142,141,142,145,147,148,149,149,148,148,150,152,152,150,148,149,154,154,149,146,146,146,145,144,144,145,146,148,150,151,153,152,149,148,148,148,147,145,145,147,145,143,146,148,148,146,145,148,149,148,148,148,148,148,150,153,155,154,154,154,153,152,149,148,149,152,151,147,145,147,150,151,151,149,145,142,142,143,142,141,141,143,144,144,142,142,142,142,142,143,143,141,140,139,140,141,142,142,142,144,144,142,139,140,140,139,138,139,140,140,140,142,146,148,147,143,141,142,144,145,144,146,148,148,146,145,146,148,148,147,145,142,142,144,145,144,140,139,142,144,144,140,136,134,135,136,137,136,134,132,130,131,134,136,136,137,136,134,132,133,134,136,138,134,128,127,129,130,131,131,133,134,135,136,134,130,128,129,131,133,136,140,141,141,140,141,142,144,144,143,142,143,142,140,141,144,145,146,144,138,135,136,136,136,138,139,136,135,136,139,140,140,140,138,137,141,144,145,146,146,145,148,152,152,149,148,146,145,145,146,145,142,140,141,142,140,136,134,136,139,141,143,146,147,147,144,142,143,146,146,144,140,138,137,138,141,144,143,141,143,142,136,131,129,129,131,132,135,135,132,130,131,134,136,137,137,137,136,136,137,137,137,135,135,134,134,135,138,140,139,137,137,138,139,140,143,145,145,144,145,145,145,146,148,148,147,148,148,146,143,142,143,144,144,146,147,147,148,149,149,150,152,153,152,150,152,156,161,160,156,156,159,160,159,158,160,162,162,159,157,157,160,162,158,152,151,152,153,155,156,157,155,154,155,null],[136,137,137,135,135,135,132,128,129,130,129,129,130,133,132,131,133,135,135,134,134,137,139,137,134,134,138,139,138,139,139,138,139,141,142,144,146,145,144,145,145,145,144,146,148,148,146,146,145,143,139,138,140,140,139,139,139,139,140,139,137,138,140,140,140,140,141,143,145,146,144,144,143,142,144,145,143,138,136,136,139,141,139,136,138,140,140,138,137,138,138,137,137,138,138,138,138,141,143,143,145,147,147,145,144,146,149,147,146,145,147,149,149,148,147,150,150,148,149,151,152,153,155,157,155,150,147,147,148,149,149,147,146,146,146,145,145,144,143,144,146,147,148,150,152,152,151,150,149,148,147,148,150,150,148,146,145,143,141,142,144,146,147,148,150,151,151,151,152,152,152,151,151,155,154,148,145,146,148,147,146,145,145,146,148,149,152,154,154,151,148,150,149,146,144,146,150,149,145,145,148,148,148,148,149,149,149,150,151,149,149,151,154,156,155,154,154,154,154,152,150,151,153,152,148,147,148,150,150,151,149,145,142,144,144,142,142,143,144,144,142,139,139,142,145,145,143,141,139,137,138,142,143,143,143,143,144,143,142,141,141,141,139,138,140,141,141,141,143,146,147,146,144,142,142,143,143,143,146,149,150,149,147,145,146,147,149,148,145,143,144,145,144,142,141,143,143,140,137,136,137,137,137,136,134,133,132,132,133,135,138,138,137,136,136,136,137,136,137,138,134,128,127,128,129,131,132,133,134,136,137,135,131,127,128,132,134,136,140,142,141,139,139,141,143,144,144,145,144,143,143,145,147,146,145,143,140,137,136,135,137,141,139,135,135,138,142,142,141,142,141,140,141,143,145,145,145,145,148,152,152,150,149,148,147,144,143,143,140,138,141,143,143,140,137,137,137,137,139,143,146,146,145,144,145,147,146,143,141,138,137,138,142,145,145,144,145,143,137,131,128,128,131,133,135,135,133,131,132,134,135,136,136,135,134,136,139,139,137,136,136,136,135,136,139,141,141,138,137,139,139,138,140,143,144,144,145,146,145,145,149,150,149,148,150,150,147,144,144,145,145,144,143,143,147,150,150,150,150,149,148,149,151,154,156,155,153,156,160,159,155,155,160,163,158,154,155,161,163,160,154,150,151,152,153,156,159,161,158,155,155,null],[135,135,132,134,134,132,131,130,132,132,131,132,134,135,134,134,134,135,136,136,135,136,137,137,135,136,140,141,140,140,139,139,141,143,142,144,146,145,144,144,145,145,141,142,146,147,144,143,142,141,140,139,139,139,137,136,137,140,141,141,138,137,139,140,141,142,143,143,143,143,143,142,141,142,143,143,141,139,137,138,139,139,137,136,137,139,139,138,137,136,136,138,141,142,141,140,140,141,142,143,146,147,146,144,143,146,148,148,148,147,147,147,148,149,149,149,148,147,148,149,152,153,155,155,154,151,149,149,151,151,150,148,147,147,147,147,149,147,144,143,145,146,147,149,151,152,151,148,148,149,149,149,150,149,146,144,143,142,143,144,144,145,145,147,149,152,153,151,150,151,152,152,153,155,153,146,144,146,149,149,147,145,147,148,148,149,151,153,154,151,149,149,149,146,144,146,151,151,147,145,146,148,150,152,151,150,150,151,152,150,150,152,154,155,155,156,155,153,152,152,152,152,152,151,150,150,151,151,150,151,150,146,144,145,145,142,142,143,145,145,142,140,141,145,148,146,144,141,138,137,139,142,143,143,144,145,145,145,144,144,143,141,139,139,140,142,143,143,143,144,145,146,146,144,143,141,141,143,145,147,149,149,149,148,148,148,150,150,148,146,145,144,144,143,144,143,140,137,136,138,140,139,136,133,133,134,133,132,133,135,138,139,137,135,137,138,138,137,136,136,132,128,128,129,130,131,132,133,134,135,138,137,133,129,129,134,137,137,138,140,140,139,139,141,143,144,143,143,143,143,145,148,148,146,145,144,143,141,139,136,137,141,140,136,136,140,144,144,143,143,144,143,142,143,145,145,144,145,148,151,151,148,146,146,146,143,140,139,138,138,141,143,143,141,138,138,136,135,136,139,141,142,142,144,146,148,146,143,144,142,138,137,139,142,144,144,146,145,141,134,130,130,132,134,135,135,135,134,133,134,134,134,134,135,135,136,138,138,138,137,137,138,137,137,140,143,142,139,138,140,140,139,140,141,142,141,142,144,145,146,149,149,148,147,149,150,150,149,146,146,149,148,146,143,145,148,147,147,147,147,148,149,150,151,151,151,153,158,160,156,153,154,161,161,153,152,158,164,164,159,152,149,151,154,157,158,160,162,162,161,161,null],[133,131,129,131,132,131,129,129,131,133,133,134,135,137,137,135,135,136,139,139,138,138,138,137,137,138,141,143,142,141,141,142,143,142,143,144,145,145,144,142,143,143,141,141,143,143,141,141,141,139,139,139,138,138,137,134,136,141,142,141,140,139,138,140,141,141,143,143,141,142,143,142,141,142,142,143,142,141,140,141,140,138,137,138,138,138,140,140,138,135,135,139,143,145,144,144,144,144,144,145,146,146,145,143,143,146,147,146,146,145,145,145,147,149,150,148,146,146,145,147,150,152,152,154,154,152,151,152,154,152,150,150,149,147,147,148,150,147,144,144,146,148,148,148,150,151,150,149,150,151,151,150,151,149,145,143,144,145,147,147,146,144,143,143,145,148,150,148,148,150,152,154,156,155,152,148,147,149,151,150,147,146,148,151,151,149,149,151,153,154,152,150,149,148,147,147,152,153,150,146,145,147,149,151,151,151,151,152,151,150,151,153,153,154,155,156,156,154,153,153,154,155,154,152,151,153,153,153,152,152,152,150,148,147,145,142,142,145,146,145,143,143,144,146,147,147,146,143,140,138,139,140,142,143,145,146,146,145,145,145,144,142,141,141,141,140,142,144,144,144,144,147,149,148,144,143,143,145,145,144,145,148,150,151,151,151,152,152,151,149,147,144,144,146,147,144,139,137,138,140,140,139,135,134,135,137,135,133,134,136,138,139,137,136,137,137,136,135,133,132,129,127,129,131,131,130,131,133,135,136,138,138,135,132,131,135,137,136,136,136,137,138,138,140,142,143,141,139,141,144,145,146,145,144,145,145,145,143,140,137,137,141,141,138,137,138,142,142,142,143,145,144,144,144,145,146,146,145,146,150,150,147,143,142,142,142,142,141,139,139,140,141,140,139,139,139,137,136,137,138,138,139,141,146,148,147,143,142,145,144,138,136,136,139,140,141,142,143,141,138,134,132,131,132,133,134,136,136,134,133,133,134,135,136,135,136,138,139,139,138,139,140,140,139,139,142,143,141,140,141,141,140,139,139,140,139,139,140,142,147,149,147,144,143,145,148,151,150,146,146,151,152,149,144,144,145,144,145,148,150,151,151,152,153,153,155,157,159,157,153,152,155,160,158,151,151,157,161,161,159,152,148,152,157,159,157,156,159,160,162,163,null],[130,129,129,129,130,130,128,127,130,134,136,136,135,138,138,136,138,140,141,141,141,141,139,137,137,138,140,142,143,142,143,144,142,141,142,144,143,144,143,140,140,141,142,142,141,139,139,141,141,140,140,138,135,136,137,135,137,141,141,142,142,140,139,141,141,139,140,142,141,141,142,142,140,141,142,142,142,141,141,143,141,137,137,139,138,139,142,141,138,135,137,140,143,144,144,145,146,146,145,145,145,145,144,144,144,145,145,144,143,143,144,145,147,149,149,146,145,146,145,146,149,150,150,153,154,153,152,153,154,152,150,150,150,147,146,147,148,146,144,145,148,150,149,149,150,151,151,152,153,153,152,151,150,149,146,144,146,148,150,150,148,146,143,141,141,144,146,147,148,151,153,156,157,155,153,152,153,153,152,150,148,147,149,152,153,150,149,151,154,156,155,151,151,151,150,149,152,153,150,146,144,145,146,148,149,151,153,152,150,150,151,152,153,154,156,157,157,155,155,156,158,159,158,156,154,153,153,154,155,155,155,153,151,147,144,143,145,146,146,145,144,146,147,146,146,146,145,143,140,140,140,139,140,143,145,146,146,146,146,146,144,142,143,144,141,139,140,143,145,145,145,148,150,148,144,145,148,148,145,142,142,146,149,150,151,153,153,153,153,151,148,145,145,149,150,146,142,142,143,143,140,137,135,136,139,139,136,134,135,138,139,139,138,137,137,136,135,134,132,130,128,127,129,131,131,130,130,133,135,136,137,137,136,134,133,134,134,134,133,134,136,137,137,139,142,142,139,137,141,143,143,141,141,143,145,146,145,141,139,138,140,142,142,139,137,136,137,138,140,142,143,143,143,143,143,146,147,144,145,150,151,147,142,140,141,144,145,143,141,140,138,137,137,140,141,141,139,139,141,142,139,139,142,147,147,145,142,142,144,143,139,138,137,139,138,137,138,140,141,140,139,135,133,132,130,132,136,137,135,134,134,136,136,135,134,135,137,138,138,138,139,140,140,138,137,140,142,141,142,143,141,139,139,140,141,140,138,139,141,145,147,145,142,140,142,148,150,148,144,145,150,152,150,146,145,145,144,146,151,154,154,153,155,157,158,158,158,157,155,152,151,153,156,156,153,153,153,153,156,158,153,149,152,156,157,154,152,154,155,157,159,null],[131,131,130,130,129,129,128,128,132,137,140,138,136,138,139,140,142,142,141,142,142,140,139,138,138,138,138,141,144,144,143,143,140,138,140,143,142,142,142,140,139,140,143,143,139,139,140,141,142,143,142,137,132,133,137,138,139,140,141,142,143,141,140,140,140,138,139,140,141,140,139,139,139,140,140,139,139,139,139,140,139,137,137,138,137,138,141,139,137,138,140,142,144,143,142,142,144,145,144,143,142,143,144,144,144,144,143,142,143,145,145,146,148,147,146,145,146,148,148,147,147,148,150,152,152,151,150,151,152,151,149,150,150,146,144,145,147,146,145,144,146,149,150,149,150,151,152,153,154,154,153,151,149,147,146,145,145,147,149,150,150,149,146,143,142,144,147,150,151,151,154,156,156,155,156,157,156,153,152,151,150,149,150,153,153,151,151,153,155,155,153,151,152,153,152,151,152,151,149,146,144,144,146,147,148,151,153,151,149,150,152,154,154,155,157,158,158,156,155,156,160,162,160,159,157,155,154,155,157,158,157,154,151,147,145,146,147,147,147,145,144,147,148,147,146,145,142,139,140,142,141,139,140,142,143,144,145,147,148,147,145,142,143,145,143,140,140,142,144,145,147,148,149,145,142,145,150,151,148,143,142,143,146,149,150,151,153,154,154,152,148,145,146,149,150,147,146,147,147,145,140,136,135,138,140,138,134,134,137,139,140,141,139,137,135,136,138,136,134,131,128,127,128,130,131,131,131,132,133,135,136,136,135,136,135,134,133,132,133,134,136,137,138,140,141,140,138,138,141,141,140,139,140,144,146,145,144,141,139,141,145,146,142,137,136,136,137,138,140,142,141,141,140,141,143,147,148,144,145,151,152,147,143,142,143,146,146,143,140,138,137,137,140,144,144,140,139,143,147,148,144,141,141,145,147,146,145,143,142,142,142,143,143,143,139,137,139,142,143,142,141,140,138,135,131,132,136,138,136,135,135,136,135,134,133,134,136,137,137,137,138,139,139,137,137,138,140,140,141,143,142,140,140,144,145,141,138,139,141,143,143,142,142,142,145,149,148,145,144,145,148,150,149,149,148,147,147,149,153,156,155,153,154,158,157,154,153,154,155,155,152,150,152,156,158,155,150,149,153,156,152,149,152,154,153,152,152,153,154,154,155,null],[134,134,133,130,128,128,129,131,134,138,140,139,138,138,139,141,142,142,142,141,141,141,141,141,140,139,138,141,145,144,142,140,138,137,137,140,141,141,140,139,140,142,143,142,139,140,141,141,142,143,141,136,131,132,136,139,141,140,141,141,141,141,140,139,138,139,139,141,141,140,138,138,139,140,138,137,138,138,137,136,137,138,137,135,136,137,137,136,136,138,141,142,142,140,139,141,144,144,141,140,140,142,144,144,143,141,141,142,144,146,145,146,148,146,143,143,145,148,150,150,149,149,151,152,151,149,148,149,150,149,148,149,148,143,142,145,147,147,146,144,144,148,149,149,149,149,152,154,154,153,151,149,147,146,146,145,144,144,147,150,151,150,147,145,145,147,151,154,153,153,154,155,155,156,157,158,154,150,151,151,149,149,150,152,152,151,152,155,155,153,150,150,152,155,155,154,153,150,147,146,145,144,146,149,150,151,152,149,148,150,152,153,154,156,157,158,158,157,155,155,160,162,160,159,158,155,155,157,158,158,156,152,148,148,148,147,146,146,147,146,145,147,147,146,144,142,140,139,141,142,142,140,140,142,142,142,143,146,148,148,145,142,142,145,145,143,140,141,143,145,148,149,148,145,143,145,149,152,150,145,143,144,146,148,149,148,150,152,152,151,148,145,145,150,150,147,146,147,147,145,141,137,137,139,141,138,134,135,138,139,140,141,141,138,136,136,138,137,135,132,129,128,128,129,131,131,130,130,131,133,134,134,135,137,138,136,134,133,134,134,135,136,138,138,138,137,137,137,138,138,138,139,142,144,145,144,144,142,141,143,146,144,139,134,135,137,138,139,141,142,142,141,139,140,145,149,149,147,148,152,153,150,147,145,145,146,145,142,139,138,138,141,144,146,143,138,138,144,148,149,149,145,142,143,147,149,148,145,143,142,142,144,144,143,139,138,141,145,145,145,145,144,142,137,132,132,136,138,137,137,136,135,135,134,134,134,134,135,136,137,137,138,138,138,138,139,139,140,142,144,144,144,144,147,148,144,141,142,143,141,140,140,142,144,146,146,143,142,143,144,146,149,150,150,150,150,151,153,154,154,152,150,151,154,152,150,151,155,159,158,153,148,149,155,158,153,148,150,153,152,150,151,153,153,152,152,155,157,158,157,155,null],[136,138,136,131,128,129,131,134,136,138,138,138,138,138,138,140,139,140,141,140,141,144,144,143,142,141,139,141,144,144,141,138,137,137,135,137,140,140,139,139,141,143,142,140,140,141,141,141,141,140,138,134,132,134,137,139,141,142,141,139,139,140,138,136,136,139,141,140,141,139,139,139,140,139,137,136,139,139,136,134,135,137,135,133,134,135,135,135,136,137,138,139,139,138,139,143,145,144,140,138,139,142,144,143,141,139,138,141,144,145,145,145,146,144,141,142,143,145,148,150,151,150,151,151,151,149,149,149,149,149,148,148,146,143,144,147,148,148,145,144,145,148,149,148,147,148,151,154,154,150,147,147,147,148,147,145,143,144,147,150,151,150,148,147,149,150,152,154,154,154,154,155,156,157,157,155,151,148,149,148,147,148,150,153,152,150,151,153,153,150,148,150,153,155,156,156,153,151,148,148,147,146,148,150,151,152,150,147,147,150,152,153,155,157,158,157,157,157,156,154,157,159,159,158,158,156,157,160,159,156,153,150,147,148,149,147,144,143,145,147,146,146,144,142,140,139,142,143,142,143,142,141,141,142,142,141,141,142,145,147,145,143,143,145,147,144,140,140,142,145,148,151,150,148,147,147,149,151,150,147,145,146,148,150,149,148,147,148,149,150,147,144,144,149,150,146,143,143,143,143,141,140,140,141,142,140,136,137,139,140,139,139,141,140,136,134,136,135,133,131,130,130,129,129,130,129,128,130,131,132,133,133,135,137,138,137,137,137,135,133,133,135,137,136,134,134,135,135,136,136,138,140,141,141,142,143,146,146,144,143,142,139,136,135,135,136,137,139,141,142,143,144,141,142,147,150,150,151,152,153,153,152,150,147,145,143,142,141,139,140,142,145,145,144,140,137,138,142,143,145,148,147,146,145,149,151,149,145,144,142,141,141,141,141,139,138,141,144,146,147,148,147,142,137,133,133,136,137,137,137,137,137,136,135,136,135,133,135,137,137,136,136,136,138,140,140,139,141,143,145,148,148,147,147,148,146,145,145,143,140,139,139,142,143,143,140,140,141,143,144,146,149,150,149,148,149,152,154,155,151,147,146,147,149,148,150,154,160,163,160,154,150,149,151,152,149,148,153,154,149,149,153,155,154,153,154,157,161,163,161,159,null],[136,137,135,132,129,130,133,136,139,139,136,135,137,138,138,138,137,137,138,139,141,146,146,143,143,141,137,138,142,142,141,139,138,136,135,136,139,139,138,138,140,141,140,140,141,142,143,141,139,137,135,133,134,135,137,138,140,142,141,139,139,138,136,134,135,138,139,138,138,139,140,140,139,137,136,136,138,138,134,131,131,134,134,133,134,134,135,137,138,136,135,137,140,141,143,144,143,143,140,138,139,142,142,141,139,139,140,140,141,143,144,145,144,143,143,145,145,144,146,150,151,151,151,151,151,151,150,150,150,150,149,148,147,148,148,149,150,148,145,144,148,151,151,149,147,148,151,152,151,147,145,146,148,149,148,145,144,146,147,148,150,152,152,152,153,153,152,151,151,153,154,155,157,159,158,156,153,150,148,146,146,148,150,153,153,150,148,148,148,149,149,151,153,154,155,155,153,151,150,151,151,150,150,152,153,152,150,146,146,150,153,155,157,157,156,156,157,158,156,153,152,154,156,158,159,160,160,161,159,155,153,151,149,148,147,145,143,143,144,145,144,143,143,141,139,140,143,145,144,143,143,143,143,144,143,143,143,142,143,145,146,145,145,147,148,144,140,141,143,145,148,151,151,150,148,148,149,151,151,148,146,146,149,151,151,148,145,145,148,149,147,143,143,146,147,144,141,140,140,140,140,142,142,142,143,141,138,138,141,142,140,139,141,141,136,134,135,134,132,132,132,132,129,127,127,127,129,131,133,133,134,133,134,136,137,136,139,140,138,134,133,136,138,136,134,133,135,137,136,136,138,138,137,137,138,141,145,146,145,143,141,140,140,140,138,136,136,139,142,142,143,146,144,143,146,148,150,154,156,154,153,151,149,147,145,143,142,140,142,144,145,144,143,140,138,138,140,142,142,142,144,147,149,151,151,150,148,146,145,142,141,141,144,143,140,139,140,143,146,148,148,145,138,134,134,135,137,137,137,138,140,142,140,137,138,136,134,135,136,136,135,136,136,138,140,139,139,141,143,145,148,150,149,148,146,146,147,147,146,143,141,141,140,140,139,139,142,145,147,147,148,148,147,146,145,146,148,152,153,149,144,143,145,148,149,152,156,161,162,161,156,152,149,148,149,149,149,152,151,148,149,153,153,153,154,154,157,160,160,159,158,null],[133,133,132,132,131,131,134,138,139,138,135,135,136,138,138,136,136,136,137,139,141,144,143,141,142,140,135,134,138,139,140,140,138,135,135,136,137,137,138,139,139,138,140,141,141,142,143,142,139,136,135,134,134,135,137,139,140,141,142,141,139,138,135,134,135,136,136,135,136,138,140,140,137,135,135,137,137,136,133,130,129,131,134,134,135,137,139,141,140,137,135,137,141,145,146,143,141,141,140,138,140,142,141,140,140,142,142,141,140,141,143,143,142,143,147,149,149,146,147,149,150,151,151,151,151,152,152,152,151,151,150,149,150,151,150,150,152,150,146,146,149,151,151,150,149,150,151,151,149,146,146,148,149,148,147,145,145,147,149,149,151,153,154,154,153,152,150,149,149,152,156,157,157,159,159,156,154,153,149,146,146,149,151,152,152,151,147,145,147,150,151,152,152,153,153,153,152,151,151,152,153,152,152,152,154,153,150,147,147,150,154,156,156,155,154,155,157,157,155,152,149,150,156,159,161,163,163,161,157,155,154,153,152,149,147,146,145,144,144,142,141,143,144,143,142,143,144,145,145,144,144,144,146,146,144,144,145,145,144,145,146,146,146,147,146,142,140,141,143,144,146,149,151,150,148,149,150,151,151,148,146,146,150,153,152,147,144,145,148,148,145,141,141,144,144,142,140,139,139,139,139,142,143,143,143,142,140,141,143,144,143,141,141,140,137,136,138,136,133,133,134,132,129,127,126,127,130,132,134,134,134,134,133,134,135,137,140,142,140,136,135,136,138,138,135,134,137,138,136,136,138,137,136,136,138,141,144,145,145,143,143,144,145,143,139,136,136,139,142,141,143,146,146,144,144,147,151,155,156,155,152,149,146,146,145,144,142,141,144,146,145,143,143,140,138,140,143,144,144,141,140,144,148,151,151,149,148,147,145,143,144,147,148,146,141,140,141,144,147,148,147,142,135,131,134,138,138,137,136,138,143,147,145,141,140,137,135,136,136,134,135,135,135,137,139,139,139,140,142,144,147,149,148,147,147,147,146,146,145,145,144,143,141,140,139,140,143,147,148,148,148,146,143,143,143,144,146,148,149,148,145,145,148,151,153,154,156,157,157,158,157,153,149,147,148,150,149,148,148,148,150,151,150,151,152,152,154,155,154,154,155,null],[131,129,128,130,131,132,134,137,136,135,136,137,137,138,137,135,135,137,139,140,140,140,140,140,141,139,136,134,135,137,140,141,138,134,134,135,136,136,137,141,140,137,137,139,140,141,142,141,140,139,137,135,134,135,138,140,141,141,142,142,140,138,137,135,134,136,136,135,137,139,139,139,137,136,136,137,135,134,134,132,131,131,134,137,138,141,143,144,141,139,138,139,141,144,145,143,139,139,139,139,140,141,141,142,144,144,143,144,143,141,141,141,141,144,149,151,151,149,148,148,149,151,152,151,151,153,154,154,152,151,150,150,150,149,149,150,152,152,149,147,147,148,150,151,151,151,151,151,148,145,147,150,150,149,148,147,145,146,150,152,153,152,152,152,150,149,149,149,151,154,158,159,157,158,157,153,152,153,149,146,146,149,151,152,151,150,148,146,148,151,152,152,151,151,151,151,151,151,151,152,152,151,151,151,153,153,150,149,149,151,153,153,153,152,153,155,156,156,154,151,148,151,157,160,161,163,163,160,156,154,154,155,155,152,150,149,148,147,144,142,141,144,146,147,146,145,144,144,145,144,143,144,146,146,144,143,144,147,148,147,146,145,145,145,143,141,141,141,142,142,144,147,149,150,150,151,151,152,150,148,146,147,151,153,151,146,143,145,147,145,142,140,141,143,142,139,138,138,139,138,139,140,142,143,143,142,143,142,143,145,146,144,142,140,139,139,140,137,135,135,134,131,130,129,128,129,131,133,133,134,136,135,134,133,136,140,141,142,143,141,137,136,138,139,139,137,137,136,134,135,137,139,139,139,141,143,145,144,143,144,146,146,143,141,138,136,137,138,140,141,144,146,146,145,144,148,153,154,155,154,152,148,146,145,144,143,143,144,145,146,144,143,144,141,138,140,145,148,146,143,141,143,146,146,147,149,151,149,146,146,149,150,149,146,142,141,144,146,147,147,144,139,135,133,134,137,137,137,136,138,142,147,148,146,143,138,136,136,137,135,136,135,134,135,137,138,139,139,140,142,146,146,144,146,148,147,144,142,142,144,145,145,144,144,142,141,142,144,145,145,144,144,141,141,143,145,146,146,146,147,148,149,152,154,154,153,154,152,152,154,155,152,148,146,148,150,149,146,147,149,150,150,150,150,149,150,152,152,151,152,155,null],[129,127,127,128,130,131,132,134,135,136,138,139,139,137,135,133,135,139,141,140,138,137,138,140,140,139,137,135,135,137,140,141,139,135,133,133,135,136,139,142,141,139,135,136,139,141,141,140,140,140,137,135,135,136,138,140,140,140,140,140,139,138,136,134,135,136,137,137,139,138,137,138,138,136,135,135,134,134,135,136,136,136,136,137,140,143,144,142,141,141,141,141,141,142,143,141,139,139,140,140,141,142,142,143,146,145,144,146,146,144,142,141,142,146,149,149,150,151,151,149,148,149,150,151,152,154,155,155,154,153,151,150,148,147,147,149,151,150,148,147,146,147,150,153,153,151,149,149,148,146,147,150,152,151,150,148,148,147,149,151,151,150,149,149,148,147,149,153,154,155,157,158,157,156,153,150,150,151,149,146,145,147,150,152,150,148,146,147,149,151,152,152,151,150,149,150,151,151,150,151,152,152,150,149,150,150,148,149,151,152,152,152,151,151,152,154,155,156,154,151,149,152,157,158,157,161,163,161,157,154,155,156,157,154,151,149,147,146,144,143,144,146,148,149,149,147,143,143,145,144,142,143,145,145,143,143,145,148,149,147,144,144,144,144,142,142,143,142,142,142,144,146,148,151,153,153,153,153,151,149,148,149,151,151,148,145,143,142,143,142,140,139,140,141,140,138,139,141,141,138,137,138,141,143,142,140,141,141,142,145,146,145,142,141,141,142,140,138,137,137,135,132,131,130,130,131,132,132,133,134,137,137,135,134,136,141,142,141,143,143,140,136,137,139,141,140,138,136,134,135,137,138,140,141,143,144,144,142,140,143,145,142,139,138,139,140,142,141,141,142,146,148,148,147,147,150,154,153,154,155,153,151,149,146,143,142,145,147,147,146,144,145,144,140,137,140,145,148,147,144,145,147,147,145,146,149,151,151,149,149,151,149,148,147,145,143,144,146,146,144,140,137,136,135,135,135,136,138,137,139,140,143,146,147,145,141,138,136,136,137,137,137,136,135,135,137,139,140,140,140,142,141,140,143,146,145,143,143,145,146,146,145,146,147,146,143,142,143,142,142,142,143,141,140,142,145,145,144,145,146,149,151,152,152,151,150,150,149,150,152,152,150,147,146,149,150,149,149,152,154,152,151,152,151,150,152,154,154,153,152,156,null],[130,128,127,128,130,130,130,133,137,139,138,138,138,136,133,133,135,138,141,139,137,137,138,140,139,138,138,137,136,137,139,140,139,137,133,132,134,138,141,141,141,140,136,135,139,140,141,141,140,139,136,135,136,137,138,139,139,138,137,137,136,134,133,134,136,137,138,138,139,138,137,137,137,135,134,133,134,135,137,139,141,140,138,137,140,142,141,139,140,142,143,142,141,141,142,139,137,138,141,142,144,144,143,143,145,146,147,147,148,147,144,143,145,147,147,146,148,150,151,151,149,147,147,150,153,154,154,154,155,155,152,149,148,147,147,148,150,149,147,146,147,148,151,153,155,153,149,147,147,147,148,150,153,153,151,150,149,148,147,147,148,149,149,149,150,148,150,154,156,155,154,155,156,155,150,147,148,150,148,145,144,146,149,151,150,147,145,147,149,150,150,149,149,149,149,150,152,151,150,151,153,153,152,149,147,146,147,149,151,152,152,151,152,152,151,152,154,156,155,151,149,151,154,153,153,159,162,160,157,154,155,156,157,154,150,147,144,144,146,147,147,147,148,149,149,147,145,144,144,143,142,143,145,145,145,145,146,148,148,146,144,144,145,145,143,144,144,144,143,144,146,148,149,153,155,155,154,153,152,151,150,150,150,147,144,144,142,140,140,141,140,140,140,139,139,140,143,145,143,139,137,137,139,140,139,139,139,140,140,142,143,142,142,142,142,141,139,139,139,140,137,134,131,130,131,132,133,132,133,135,139,139,137,135,136,140,141,140,141,142,142,139,137,139,142,141,138,136,136,137,137,137,138,140,143,144,143,140,138,140,141,137,135,137,140,143,144,143,142,142,146,149,150,148,149,150,152,153,155,156,155,153,151,148,145,144,147,149,148,146,146,146,143,138,137,139,143,145,144,144,147,149,150,149,148,148,149,150,151,151,150,147,146,150,149,145,143,143,143,140,137,136,136,136,136,136,137,139,140,140,138,139,142,144,145,144,141,136,135,137,139,140,138,136,136,136,138,140,141,139,138,138,139,141,142,142,143,146,149,149,148,146,147,148,148,146,145,145,143,143,143,143,143,142,143,143,143,143,144,146,148,149,148,146,148,148,148,149,151,152,151,147,146,148,150,149,149,152,155,156,154,154,156,156,155,157,159,158,155,153,155,null],[132,129,127,129,131,131,132,134,137,138,137,137,135,134,134,135,134,135,138,138,137,138,140,140,138,137,137,136,135,135,137,137,138,138,134,132,136,140,141,139,139,139,136,135,137,138,141,142,142,139,136,134,136,137,137,137,136,135,135,135,134,132,132,134,136,138,140,141,141,140,139,137,134,133,132,133,136,137,139,140,141,139,138,138,139,141,140,140,142,144,143,140,140,142,142,137,134,137,142,145,147,147,144,142,143,147,149,148,148,148,147,147,148,147,146,146,147,149,150,151,152,149,148,150,152,152,151,151,153,153,152,150,149,149,149,151,152,151,148,147,148,148,149,151,154,154,151,149,148,148,149,151,153,153,152,150,148,146,145,146,149,152,152,152,153,152,151,153,155,157,156,155,155,154,150,146,145,147,146,144,144,147,149,150,149,148,146,146,148,148,146,146,147,149,151,152,152,150,149,150,152,153,153,150,147,146,148,150,151,151,149,150,152,152,151,151,154,155,153,150,147,148,149,149,152,158,160,158,155,154,154,154,154,152,149,147,146,147,150,151,150,148,147,148,147,147,147,146,143,142,143,144,145,147,147,147,146,147,147,145,144,145,148,147,144,144,145,144,144,145,147,149,151,153,154,153,152,152,152,152,152,152,149,145,143,143,142,140,141,142,143,143,142,139,139,141,144,145,144,141,138,137,136,136,137,139,141,142,140,138,138,141,142,142,140,137,137,138,141,142,138,133,130,130,131,133,133,132,133,135,139,140,139,135,135,138,140,139,139,141,143,142,139,140,142,141,138,136,137,139,138,136,136,139,143,144,144,141,139,138,138,136,136,137,140,142,142,141,140,140,143,147,148,147,147,148,150,153,156,156,154,151,151,149,147,147,148,149,148,147,147,146,143,142,141,139,139,141,142,143,145,147,150,153,151,147,147,149,150,152,152,149,148,151,151,147,144,142,141,137,136,137,136,135,137,138,139,141,142,141,139,138,139,141,143,145,143,136,134,138,141,141,138,137,138,137,137,139,140,138,137,137,139,139,139,140,142,145,148,150,150,149,149,147,146,145,147,147,146,145,143,142,143,144,145,145,145,144,144,145,146,147,145,144,146,149,149,151,153,152,149,146,148,150,149,148,149,150,151,151,153,157,161,161,159,159,160,159,155,153,153,null],[131,128,127,130,132,133,134,135,135,136,135,133,132,132,133,135,134,134,136,137,136,138,140,140,137,135,135,137,136,135,134,135,137,137,136,136,138,139,138,136,135,136,136,136,137,138,141,143,143,140,136,133,134,135,135,135,134,134,135,135,133,133,135,136,137,138,140,141,140,141,139,136,132,131,133,135,136,138,139,138,137,136,136,138,139,140,141,142,143,143,141,138,139,140,139,136,134,138,142,145,148,148,145,143,143,145,147,147,147,148,148,149,150,149,148,148,149,149,148,149,151,151,149,149,150,150,148,148,149,152,153,152,151,151,151,153,155,154,151,149,150,150,149,150,153,154,152,151,149,148,150,152,152,151,150,148,146,145,145,145,149,154,155,155,156,156,155,154,156,159,158,155,153,154,152,148,145,144,142,142,145,149,150,149,148,147,146,146,146,146,145,144,146,150,154,155,153,150,149,149,151,153,154,152,149,148,149,150,150,148,148,150,152,152,151,152,154,153,150,147,146,147,149,151,154,158,159,155,153,152,152,152,153,152,151,150,150,152,154,153,149,147,146,146,146,148,149,147,144,143,144,143,145,148,148,147,146,147,147,146,145,147,149,148,146,144,144,144,144,145,146,148,150,150,151,151,152,151,151,152,152,150,147,144,143,144,143,142,142,144,146,147,145,143,142,143,145,146,145,142,140,136,135,135,137,138,140,141,139,135,136,141,143,140,136,134,135,138,140,140,136,132,129,129,131,132,131,132,133,136,138,139,139,136,135,137,140,141,140,141,144,145,143,142,142,140,139,138,139,140,140,138,136,139,142,145,146,145,141,139,138,138,138,137,138,140,139,139,140,139,141,145,146,145,146,147,150,154,156,155,152,150,150,149,148,148,148,147,146,145,144,144,144,145,144,139,138,141,144,145,145,146,149,153,151,146,145,147,150,152,152,150,150,150,150,149,145,143,142,138,136,136,135,135,137,140,141,144,144,142,141,140,141,143,145,146,142,136,135,139,143,142,140,139,139,138,137,138,138,137,137,138,140,141,141,142,142,142,144,147,149,151,150,148,147,148,148,148,148,148,146,143,143,147,149,149,148,147,146,146,146,146,144,143,145,147,149,152,153,151,147,145,148,150,148,148,149,150,149,149,153,158,161,160,160,159,159,159,157,155,154,null],[128,127,128,130,132,133,133,134,135,135,133,131,129,132,132,133,134,136,137,137,136,138,140,139,136,134,135,138,139,135,133,134,135,136,136,137,139,138,135,134,134,135,134,135,138,140,142,142,142,140,136,134,133,133,133,133,134,135,136,135,134,136,138,138,138,138,139,139,139,140,138,134,131,131,134,136,135,135,137,136,133,133,134,136,138,139,140,141,141,139,138,137,137,136,136,136,138,141,142,143,146,148,146,145,145,144,144,145,146,148,148,149,150,151,151,150,150,150,148,148,149,150,150,149,149,149,146,145,148,152,154,154,152,151,152,153,154,154,153,150,150,152,152,150,153,154,152,150,150,149,151,154,153,149,147,146,147,149,148,146,147,152,155,157,158,159,159,159,159,158,157,155,153,154,154,151,146,142,140,141,146,150,150,148,145,144,145,146,146,146,147,147,149,151,153,155,153,151,148,148,149,152,152,151,150,149,148,148,147,148,149,151,152,152,151,153,153,151,148,147,148,150,153,155,157,160,159,155,152,151,152,153,154,156,155,154,154,154,154,151,148,145,145,146,147,149,148,146,145,146,146,144,145,148,147,146,147,149,149,147,147,148,148,148,147,146,143,142,144,146,147,146,146,147,149,152,153,152,152,152,150,146,143,144,145,145,145,144,144,145,147,148,146,145,145,145,146,146,145,143,140,137,137,139,138,136,135,136,137,136,137,141,142,138,134,133,135,136,135,133,131,130,129,129,130,130,130,132,133,135,137,138,138,137,135,136,140,143,143,144,146,146,144,142,142,141,141,142,143,141,140,139,139,138,140,145,149,148,143,140,140,140,139,137,138,139,139,141,142,142,142,143,145,146,147,149,152,154,154,153,152,151,151,149,148,146,146,145,143,141,140,142,143,144,142,139,139,142,146,148,147,146,148,150,150,146,143,144,149,150,149,149,149,149,149,148,145,146,145,141,136,135,134,134,136,139,142,146,147,145,144,144,144,146,148,147,141,135,136,141,144,144,144,142,140,139,138,138,137,136,137,139,141,144,145,146,145,144,142,142,146,149,150,150,151,152,149,147,148,150,150,146,145,148,152,152,150,149,150,151,150,148,145,144,143,145,148,151,153,151,146,144,147,149,149,148,150,152,152,152,154,156,157,157,157,157,158,160,161,160,158,null],[126,127,129,131,133,133,132,133,136,136,133,131,132,134,134,133,135,138,139,139,138,139,139,138,137,135,134,137,139,135,132,132,133,134,134,135,136,135,134,134,136,137,135,136,139,141,142,142,141,139,137,136,136,135,134,134,135,135,135,136,135,135,137,137,138,138,138,139,138,138,136,133,132,133,134,134,134,134,135,134,133,133,134,134,135,137,137,138,138,136,135,136,136,136,135,136,139,142,142,143,145,147,147,149,149,146,143,144,147,148,148,148,150,151,151,150,150,150,148,147,148,150,150,149,148,147,145,145,149,153,154,154,153,152,151,151,151,152,151,148,149,153,152,150,153,154,152,151,150,150,152,155,154,150,146,148,152,155,152,148,147,150,155,157,159,160,162,162,158,155,154,154,152,153,152,149,145,141,140,141,145,149,150,148,144,142,144,146,147,149,150,151,152,153,152,152,151,150,148,147,147,148,149,149,148,146,146,146,147,149,152,153,153,151,150,151,150,149,148,149,151,154,155,156,158,160,158,155,152,152,153,154,156,158,158,155,153,152,152,151,147,144,145,148,149,147,146,147,148,149,148,145,146,147,146,146,149,151,150,147,148,150,150,150,150,147,143,142,144,147,149,148,146,147,151,154,155,154,152,151,149,145,144,146,149,149,149,149,147,147,147,146,145,144,143,143,143,145,146,144,141,139,140,141,138,135,133,133,134,135,137,139,139,136,133,132,133,132,131,129,129,130,129,130,130,130,131,131,131,131,133,135,138,139,138,138,138,140,142,144,145,145,143,142,142,144,145,145,144,142,139,140,140,137,139,145,151,149,143,141,142,141,139,138,138,139,141,143,145,147,146,144,146,148,150,153,155,155,152,150,151,151,151,149,147,144,143,144,142,140,141,142,141,141,140,139,139,141,144,146,145,144,145,149,150,146,142,142,144,145,146,147,148,149,147,146,146,148,146,142,137,134,132,133,134,137,140,145,148,148,148,148,145,145,147,146,140,136,137,143,146,145,147,145,143,142,141,138,136,137,137,138,141,143,145,146,148,149,146,144,145,147,148,148,152,154,150,147,147,150,151,149,146,147,150,152,150,148,150,153,153,150,148,147,145,144,146,148,149,148,145,146,147,149,151,151,151,153,153,153,152,152,155,157,158,158,160,162,163,164,162,null],[125,127,130,132,133,131,130,131,134,135,132,132,134,137,137,135,137,140,141,141,140,139,138,137,138,136,134,136,138,134,131,131,133,134,133,132,133,134,135,135,137,138,137,137,140,141,141,141,140,138,138,139,140,139,138,137,135,133,133,135,135,133,134,136,137,138,139,139,138,136,134,131,132,135,134,133,134,135,135,135,134,135,135,135,134,134,134,135,136,135,135,135,137,138,138,138,139,140,141,143,144,146,148,150,150,148,145,146,148,148,147,147,149,150,150,149,149,149,148,147,149,151,150,148,146,145,144,146,150,152,151,151,152,153,151,149,150,150,148,146,147,151,151,149,152,154,153,153,152,150,152,155,155,152,148,150,156,158,156,152,149,150,154,157,158,160,161,159,154,151,152,152,150,149,148,147,145,143,142,143,144,148,149,146,144,143,144,146,149,151,152,152,153,153,151,149,148,149,148,147,144,144,146,147,145,145,146,148,150,152,153,152,151,149,148,147,147,147,149,152,153,154,156,157,157,156,154,153,152,153,155,156,156,158,157,154,150,149,150,151,148,144,145,150,150,147,147,149,151,151,149,147,147,147,145,146,150,152,152,150,151,153,153,152,151,148,145,144,146,149,151,150,149,151,153,155,155,154,153,151,150,148,148,150,152,151,151,151,149,148,147,144,142,142,142,141,140,143,146,145,143,142,143,142,139,137,136,134,133,133,135,137,136,135,134,133,132,131,130,129,130,132,132,131,131,131,131,131,130,129,129,133,139,142,141,140,138,139,141,143,143,143,143,143,144,146,146,145,143,141,141,142,140,137,138,144,149,147,141,141,143,142,141,139,139,139,141,143,145,147,147,146,148,150,152,153,154,152,150,150,150,150,148,147,146,143,142,141,141,141,144,144,140,139,141,142,141,140,141,142,142,141,143,148,151,147,143,140,139,140,142,144,146,148,145,145,147,147,144,140,137,133,133,134,134,134,137,142,147,151,152,150,146,143,145,144,139,137,138,142,144,145,146,147,146,143,139,137,137,137,137,137,139,140,142,145,148,149,149,148,148,146,144,145,148,151,149,146,147,150,152,150,146,145,148,150,147,145,148,151,153,152,151,150,148,147,147,147,146,145,145,148,148,150,153,154,153,153,154,154,150,150,157,161,162,162,162,163,163,163,163,null],[125,128,130,132,131,128,126,127,131,132,131,131,133,136,139,139,139,140,141,140,139,138,137,136,137,136,135,136,137,133,130,132,134,136,134,133,133,135,136,134,135,136,136,138,141,140,139,140,139,136,136,138,140,141,140,139,136,132,131,133,134,134,134,135,137,138,138,137,137,136,134,131,131,135,135,135,137,138,137,137,137,137,137,137,136,134,134,135,135,136,137,137,140,142,140,139,140,139,140,143,145,146,147,148,148,147,145,146,147,146,146,147,147,148,148,148,146,146,147,149,150,151,149,146,145,145,146,148,150,150,148,148,149,151,151,149,150,150,147,145,146,148,149,149,152,154,154,156,155,152,153,155,155,153,150,151,154,155,156,155,152,150,152,156,159,160,158,154,151,150,152,150,147,145,147,149,149,147,145,144,145,147,147,145,145,146,145,146,149,151,151,150,150,151,151,149,148,148,148,146,144,143,144,145,145,146,149,151,152,152,151,149,148,147,146,146,147,148,149,150,151,154,156,156,154,151,150,151,152,153,154,155,156,155,155,153,150,147,148,149,146,143,145,150,150,149,152,153,152,150,149,147,147,146,146,147,149,152,154,155,154,154,153,151,148,146,146,148,149,151,152,152,153,154,154,153,153,153,153,152,152,151,151,153,153,151,148,147,148,148,146,143,142,143,143,141,140,140,143,143,143,144,144,142,140,140,140,138,136,134,134,134,134,135,135,135,133,132,131,132,133,135,134,133,133,132,132,132,131,130,130,134,139,142,142,141,141,141,143,143,142,142,145,145,146,146,145,143,142,142,143,145,142,138,138,143,146,145,142,142,144,145,143,141,139,138,140,141,142,144,145,146,149,151,152,151,148,147,148,150,151,148,145,143,144,144,142,140,140,142,146,146,142,141,144,145,145,143,141,142,143,143,142,146,150,150,146,139,138,138,140,141,142,144,144,146,148,146,141,137,135,133,134,136,136,135,136,140,146,150,152,151,147,145,146,142,138,138,140,141,141,142,144,146,146,139,135,136,138,138,136,135,137,138,140,143,144,144,146,150,151,146,140,141,144,145,146,146,147,150,151,148,145,145,148,150,146,144,145,149,152,152,152,151,151,151,150,149,147,146,147,149,150,152,153,155,156,155,156,157,154,154,160,164,164,165,164,162,160,159,159,null],[126,127,129,130,129,127,126,126,128,130,132,133,134,135,138,139,138,138,140,140,139,136,136,137,136,135,135,135,134,131,130,133,136,136,136,135,135,136,136,135,135,134,136,138,140,139,138,138,137,135,134,135,137,139,139,139,137,134,131,132,134,136,135,135,136,137,136,135,134,135,134,132,131,133,136,138,139,140,140,140,139,139,139,139,137,136,138,138,137,138,139,139,141,142,141,141,141,140,142,144,146,146,144,144,144,144,144,144,144,144,145,147,147,145,144,145,144,143,145,149,151,150,148,146,146,146,148,149,148,148,149,148,148,150,150,149,151,151,148,146,146,147,149,150,151,152,153,156,158,155,154,156,156,154,152,151,152,153,155,156,154,151,152,156,160,160,155,150,150,152,153,151,148,146,148,150,150,148,147,145,144,144,145,145,147,147,147,147,148,149,149,148,149,150,151,150,149,148,146,144,143,144,146,147,147,149,151,153,153,152,149,146,145,145,145,146,148,149,149,147,148,152,155,154,150,147,149,153,153,153,154,155,155,153,153,152,149,146,146,146,146,145,147,149,149,149,154,156,153,149,147,147,147,149,149,148,148,151,155,158,156,152,150,148,146,145,147,149,150,150,151,152,153,154,154,154,152,150,151,152,151,150,151,153,152,148,144,144,146,146,145,143,142,144,144,141,138,138,139,140,142,144,143,141,140,141,142,141,139,136,133,132,133,134,135,135,133,131,131,135,137,136,135,134,136,134,133,133,133,132,131,133,138,140,141,141,142,142,143,142,142,142,145,146,145,144,143,143,143,143,145,147,144,139,139,144,146,145,144,143,145,146,145,142,139,139,140,141,141,142,143,145,148,151,152,149,146,144,146,149,150,147,144,143,144,144,143,142,143,146,148,147,144,143,147,149,149,145,141,143,147,147,143,145,150,153,147,141,141,142,142,140,139,142,143,144,147,147,142,136,133,133,135,137,139,139,138,139,142,145,149,151,149,147,145,140,137,141,144,144,142,143,145,145,141,136,134,137,140,141,137,134,135,137,139,141,141,141,144,149,150,144,139,141,144,144,145,146,147,148,147,144,144,146,148,148,145,144,147,151,152,150,150,150,152,152,151,150,150,150,150,151,152,154,154,155,156,157,157,158,157,158,160,161,161,163,163,160,158,157,156,null],[126,125,128,127,127,129,130,130,130,131,134,136,136,135,136,136,135,136,138,139,138,135,135,137,135,134,134,134,132,131,131,135,135,135,135,136,137,137,138,138,137,136,137,138,137,137,137,136,135,134,134,134,134,136,138,137,136,135,132,131,134,136,135,134,135,136,136,134,134,133,133,133,132,134,137,139,139,139,140,140,141,140,140,139,137,138,142,142,140,139,139,140,140,141,142,141,141,142,145,146,147,145,141,140,142,142,141,140,140,142,145,147,146,142,141,143,142,141,144,148,151,150,148,147,146,147,149,148,146,147,149,149,149,149,148,148,150,151,150,147,146,148,149,149,150,151,152,156,159,157,155,156,156,156,153,152,152,153,154,155,153,152,153,157,160,157,152,149,151,154,153,152,152,152,150,150,148,147,147,145,142,142,145,146,147,148,148,147,146,147,149,149,149,150,151,151,149,148,146,143,144,147,150,150,149,149,151,153,153,151,147,145,145,146,148,149,150,151,149,148,148,150,152,150,147,147,151,154,154,154,156,156,154,152,150,149,147,145,145,145,146,149,150,149,148,149,153,156,155,149,145,146,149,152,152,150,149,152,155,157,154,149,146,145,145,145,146,148,148,148,149,150,151,153,155,155,152,148,147,148,147,146,147,150,149,146,144,145,146,146,145,144,144,143,141,139,138,137,137,137,139,141,140,138,138,140,141,142,139,136,132,131,133,134,134,133,132,130,132,138,140,137,135,135,137,137,135,133,132,132,131,132,135,138,138,139,140,141,141,141,142,143,143,142,141,140,142,144,146,145,146,148,146,141,142,147,149,149,147,146,147,148,145,141,139,139,142,143,143,144,143,144,147,152,154,152,148,146,146,149,148,146,146,147,147,144,143,145,147,150,150,147,144,145,148,151,149,144,142,145,150,150,147,147,151,154,149,145,146,149,147,142,138,140,141,142,145,146,143,137,133,134,136,137,141,143,142,140,138,139,143,149,149,146,142,138,137,143,147,147,146,146,147,143,139,138,138,138,140,142,138,135,134,135,137,138,141,142,145,146,146,141,139,143,146,147,147,148,147,144,143,143,145,148,147,145,145,147,150,152,151,146,146,149,153,152,150,149,151,153,152,151,152,154,153,152,154,155,156,157,159,160,158,156,156,159,159,158,158,158,156,null],[127,126,127,125,125,129,134,135,133,133,135,137,137,135,134,134,133,134,137,137,136,135,136,136,133,131,132,134,134,133,133,136,135,133,134,136,138,138,139,139,139,138,139,138,135,136,137,135,133,133,133,134,135,136,136,134,133,133,132,132,134,135,135,136,137,137,137,137,136,134,133,133,135,137,138,138,138,137,138,139,140,139,139,140,138,139,142,143,142,141,140,140,140,142,144,143,141,142,144,145,146,144,141,139,141,140,137,136,137,140,144,145,144,142,142,143,142,143,146,149,149,149,148,145,143,143,144,144,143,145,147,148,148,149,148,146,147,149,149,147,146,148,149,148,148,150,154,158,158,157,154,153,153,154,153,152,152,153,152,151,151,153,154,157,158,154,150,150,152,154,152,152,154,153,151,149,147,147,147,144,140,141,145,147,147,147,147,146,146,148,150,150,148,148,149,150,148,147,146,145,146,148,150,150,148,147,149,151,152,149,146,145,147,149,150,151,152,152,152,152,149,149,150,151,149,149,152,154,153,154,156,157,154,150,148,148,148,148,148,147,148,151,152,151,150,151,152,154,154,149,145,146,150,153,152,151,152,155,157,153,149,146,145,146,147,147,146,146,146,147,148,149,150,151,153,153,150,147,145,146,145,143,143,145,148,148,148,148,147,147,147,147,145,142,140,140,140,139,137,135,135,137,137,135,136,138,139,139,138,134,132,133,134,134,135,134,133,133,135,140,141,138,136,137,138,139,136,132,131,131,131,132,134,135,134,134,137,140,140,140,140,141,140,138,136,137,141,144,145,146,147,149,148,145,145,148,151,151,149,148,149,148,144,139,138,140,143,143,144,146,146,145,147,152,156,154,150,146,148,150,149,146,147,149,149,146,144,146,148,150,149,147,145,146,149,150,146,142,143,147,153,152,149,147,149,152,151,149,149,150,148,143,139,138,139,142,145,144,140,136,136,137,137,138,141,146,146,143,138,136,139,143,146,144,140,137,138,142,146,146,147,147,147,144,142,143,142,138,139,142,140,137,135,135,135,137,140,142,144,143,141,140,141,143,146,147,147,147,145,142,141,145,149,149,145,142,145,148,149,150,148,143,145,151,155,153,148,147,150,153,151,148,149,150,149,149,150,151,154,158,161,159,154,151,153,156,156,155,157,159,156,null],[129,128,128,126,124,128,134,138,136,133,134,136,136,136,135,135,133,133,135,134,133,136,138,136,132,130,132,136,138,135,134,135,134,132,133,136,138,139,139,139,139,139,139,138,136,137,137,135,133,132,133,134,136,136,134,131,130,130,132,133,133,134,135,137,139,138,138,138,137,135,134,133,136,140,138,136,136,136,137,138,138,138,139,140,140,141,142,141,141,141,142,141,143,145,146,144,142,142,143,143,144,143,141,140,140,138,136,136,137,138,140,141,141,143,143,143,143,146,148,149,148,147,146,143,142,140,139,141,143,144,145,145,147,149,147,145,144,146,148,146,145,147,147,146,146,150,154,157,156,154,151,150,149,151,152,152,152,152,151,149,150,152,154,155,154,151,149,151,152,151,150,150,152,151,149,148,147,147,146,142,139,141,145,147,146,145,146,148,149,150,150,148,146,146,148,147,145,144,146,148,149,148,148,147,147,147,148,149,148,146,145,147,149,150,150,150,152,153,155,156,152,149,151,153,154,152,152,153,152,153,156,157,155,150,147,149,150,152,152,150,149,151,153,153,154,154,153,152,151,148,146,147,150,153,154,154,155,157,155,150,147,148,149,151,152,151,149,146,146,149,149,150,151,152,151,150,148,146,145,145,144,142,141,144,148,150,149,148,147,147,148,148,146,143,141,142,142,141,139,136,134,135,135,136,137,137,137,136,135,133,133,136,137,137,136,135,135,136,138,141,141,140,140,141,141,140,136,132,130,130,131,132,134,134,132,132,135,138,139,139,138,137,135,134,134,136,140,142,142,144,146,147,147,150,150,150,152,151,148,147,147,145,141,137,137,141,144,144,144,146,148,148,148,151,155,154,150,147,149,152,149,146,147,149,150,149,147,146,147,149,150,147,145,146,148,148,146,144,146,150,153,152,149,148,148,148,147,146,148,149,149,146,141,137,139,143,144,141,136,135,136,137,137,138,141,147,149,147,141,139,139,142,145,146,142,139,139,141,143,142,145,148,148,147,146,146,143,139,139,142,141,139,137,135,135,137,139,141,140,140,139,141,143,143,144,145,145,145,144,143,142,147,149,146,142,140,143,147,147,146,144,142,145,152,154,151,147,146,149,151,149,147,147,148,148,148,149,151,154,157,159,156,150,148,151,154,154,152,154,158,155,null],[134,132,130,127,124,126,133,138,135,132,133,134,135,138,137,135,133,132,132,131,133,136,139,137,131,129,133,138,138,135,133,134,134,133,134,137,137,138,139,140,140,139,138,137,137,138,138,137,134,131,132,133,134,133,132,130,129,130,132,134,134,133,134,137,138,138,137,137,135,135,134,134,136,139,138,135,135,137,138,138,139,139,140,141,141,142,142,141,140,141,142,144,146,146,146,145,144,144,144,143,142,141,142,140,138,138,140,140,138,136,136,137,140,142,144,144,145,147,148,147,146,145,145,145,144,141,140,141,145,145,145,145,148,149,147,144,143,144,146,145,145,146,146,146,145,148,152,154,153,151,149,148,147,147,150,150,150,150,150,150,150,152,153,153,152,150,150,151,150,149,149,149,150,148,147,146,146,147,146,143,139,140,145,148,145,144,147,150,150,149,147,145,145,146,146,144,142,143,146,149,149,147,145,145,147,149,149,147,144,143,145,148,150,148,146,148,151,153,156,157,154,151,152,154,155,155,154,154,152,153,154,155,154,151,150,153,154,154,155,153,151,153,154,155,155,155,153,150,148,147,147,148,151,154,157,158,156,154,152,149,149,152,155,157,156,155,152,148,149,151,152,152,153,151,149,148,147,145,144,144,143,142,142,145,148,148,146,145,146,146,146,146,145,145,144,143,141,141,140,139,137,136,136,138,139,138,136,135,134,135,136,139,140,140,137,135,134,135,137,139,140,141,142,144,144,141,137,133,130,130,131,133,134,134,134,133,134,136,138,139,138,134,133,133,135,138,140,140,139,139,142,143,146,151,153,152,151,149,146,144,143,140,138,136,138,142,147,147,144,144,146,149,150,150,152,151,149,148,150,152,150,147,146,148,150,152,151,147,146,148,151,150,145,144,147,148,149,150,151,151,150,149,149,150,149,144,141,140,144,148,149,147,142,138,138,140,141,139,136,134,134,136,136,137,140,145,149,148,145,144,145,145,147,148,146,143,140,141,141,141,145,150,150,150,147,145,143,140,143,145,143,139,137,136,136,137,139,139,138,137,139,142,143,143,142,141,142,143,143,143,144,146,145,141,139,139,142,144,145,143,141,142,146,149,150,148,145,146,149,149,149,149,149,150,151,151,152,153,153,152,152,151,147,146,149,151,151,149,151,154,154,null],[137,134,130,126,125,127,132,136,135,133,132,132,134,137,136,134,131,130,132,133,134,135,136,135,130,128,133,136,135,134,134,136,135,134,136,136,137,138,140,140,141,140,138,138,138,139,138,137,134,131,130,130,131,131,131,131,131,132,134,136,136,135,135,137,137,138,138,138,134,133,135,135,137,137,136,135,136,138,139,140,140,140,141,141,140,141,142,141,140,141,143,144,145,144,144,144,144,144,143,143,141,140,141,139,136,140,143,143,140,138,138,140,142,144,146,147,147,146,145,145,145,145,145,147,147,145,142,142,146,147,146,147,149,149,147,146,144,143,144,145,146,146,146,147,147,148,149,150,151,150,149,148,145,145,148,150,149,148,149,150,151,151,151,151,150,149,149,148,148,149,150,150,148,147,147,146,145,145,145,143,139,140,145,146,144,143,148,150,148,145,143,143,144,144,143,142,143,145,147,149,148,145,143,144,147,149,148,144,141,143,147,150,152,149,147,148,150,152,154,156,156,154,153,152,152,153,154,154,152,152,152,153,153,151,152,155,156,156,157,156,154,155,156,156,155,154,151,148,146,147,149,151,152,153,156,156,153,152,152,154,155,157,159,159,157,154,152,150,151,153,152,151,151,149,146,146,146,144,143,142,141,141,143,145,146,144,143,143,144,145,144,144,144,144,144,142,140,140,139,140,140,139,139,140,139,138,137,136,135,136,137,138,140,141,138,135,134,133,133,134,136,138,141,144,145,142,137,133,131,131,131,132,134,136,137,136,134,134,138,141,138,135,135,136,138,140,141,141,141,140,141,142,146,151,153,152,150,148,145,142,140,140,139,137,138,143,149,148,144,142,144,147,147,147,149,150,150,152,153,153,152,149,146,148,151,154,153,148,146,150,153,152,146,145,148,152,153,153,152,151,150,150,151,151,149,144,142,141,141,143,145,143,140,138,137,137,137,137,137,136,135,135,134,134,137,140,144,146,146,147,148,148,147,146,146,143,141,143,144,143,144,148,150,149,146,142,140,141,144,146,144,140,138,137,137,137,138,138,136,136,139,141,142,142,141,139,141,142,140,140,143,144,143,140,139,140,141,142,143,140,140,142,145,146,145,144,144,147,150,150,150,150,150,150,152,151,150,152,151,147,147,148,147,147,149,150,150,149,149,151,153,null],[136,132,127,125,126,128,132,135,136,134,130,131,133,134,134,132,128,128,134,136,134,132,131,131,128,127,131,133,133,133,135,137,137,136,135,136,137,139,141,141,142,142,141,139,138,138,137,136,134,132,130,129,129,130,131,133,133,134,136,138,138,138,138,138,137,137,139,139,134,132,133,137,138,135,133,133,136,139,140,141,141,140,140,140,139,138,140,140,140,142,143,142,141,142,143,143,143,142,142,142,142,141,140,137,136,139,143,142,141,141,143,145,146,147,150,150,148,145,143,144,145,145,145,147,148,147,143,142,144,146,148,149,149,149,149,147,145,143,143,145,146,145,146,149,151,149,148,149,151,151,150,147,144,144,147,148,147,147,148,150,150,150,152,151,149,149,148,146,147,150,151,150,147,147,147,146,145,144,144,142,140,142,145,144,143,145,147,147,143,142,143,144,144,144,143,144,146,148,150,148,145,142,142,143,145,145,144,142,142,146,149,152,153,152,150,150,151,151,153,154,154,153,151,149,148,152,154,154,153,152,151,151,152,151,153,156,157,158,158,157,156,157,158,157,154,151,149,149,148,149,150,152,154,154,153,153,153,154,156,158,158,159,159,157,155,151,150,151,153,153,150,148,147,146,145,144,144,143,142,140,139,140,142,142,141,140,141,141,142,142,141,142,143,142,141,140,140,139,139,139,139,140,140,139,137,136,138,138,137,136,136,137,140,141,140,137,134,133,133,133,134,136,139,142,144,142,138,134,132,132,131,131,133,135,137,137,136,136,139,140,140,139,140,140,141,142,142,143,146,145,143,144,148,151,152,151,148,147,146,143,141,143,143,140,139,142,147,148,145,144,145,144,143,144,146,149,152,154,155,155,154,152,147,147,152,156,154,150,149,152,153,152,148,148,152,155,156,155,151,150,152,153,152,150,148,146,147,146,140,138,139,139,139,139,137,136,136,136,137,138,138,136,134,134,134,137,141,143,144,146,148,150,147,144,144,142,141,145,148,147,145,145,148,148,144,142,140,141,143,145,143,141,140,139,138,137,137,137,136,136,138,139,140,141,141,139,139,138,136,137,140,143,143,141,141,142,142,142,141,139,140,142,144,144,143,142,143,147,149,149,149,149,149,149,148,146,146,148,147,145,146,149,150,151,150,151,151,151,150,151,153,null],[133,129,124,123,125,128,132,135,137,134,129,129,131,132,132,131,127,127,133,134,131,129,128,129,129,128,130,133,134,133,134,135,138,139,136,136,141,142,142,142,141,141,142,140,138,135,134,134,135,135,132,130,130,129,129,132,134,135,136,138,139,140,140,138,137,137,137,136,133,131,132,135,137,133,131,132,135,137,139,140,140,140,140,138,137,137,140,140,140,142,142,140,140,141,143,143,143,143,142,141,141,140,139,136,136,138,140,140,142,144,146,146,145,148,151,149,146,144,144,143,143,144,145,146,146,145,143,141,142,145,148,148,148,150,149,147,145,143,141,143,144,144,146,151,154,151,147,148,152,152,149,146,144,144,144,143,144,146,148,148,147,148,151,151,149,148,147,146,148,150,150,149,148,146,146,146,145,143,142,141,143,146,147,143,142,146,145,142,140,142,145,147,146,144,145,147,149,150,150,147,143,141,142,144,143,143,143,144,146,148,150,152,152,151,151,151,151,151,152,152,151,149,148,149,151,154,155,155,154,152,150,150,151,151,154,157,158,158,157,157,157,158,160,158,153,150,151,153,154,152,151,152,155,157,156,155,156,157,157,157,158,158,156,153,151,149,150,152,153,151,149,146,145,145,144,143,142,143,142,140,139,139,140,139,139,138,138,138,139,139,139,142,143,141,139,138,138,138,138,137,137,139,138,136,135,136,140,141,138,135,135,137,140,141,141,140,137,135,136,137,138,138,139,141,142,141,138,135,134,134,131,130,132,133,133,135,138,139,138,138,139,142,143,143,144,144,141,141,148,148,145,145,148,151,152,150,148,146,146,145,144,145,144,142,140,142,145,147,149,149,147,144,143,144,145,148,152,154,154,154,155,152,148,146,150,154,155,152,151,152,152,150,149,152,155,155,156,157,153,151,152,152,150,148,146,146,148,146,141,138,138,139,141,142,141,139,138,137,137,139,141,139,137,136,136,139,143,143,142,143,147,150,150,147,144,141,141,145,149,150,148,147,149,148,144,144,144,142,143,145,144,144,144,143,141,138,136,135,135,136,137,137,138,140,140,138,136,135,136,137,138,140,141,142,143,144,144,142,141,141,142,142,143,144,143,142,143,145,145,144,145,147,147,146,144,144,145,147,146,146,147,151,155,155,153,152,152,154,155,154,155,null],[132,129,125,123,125,129,132,134,135,133,130,129,129,129,130,129,127,127,130,131,129,129,128,129,131,131,131,133,135,135,134,134,138,140,137,138,141,142,142,142,141,140,141,140,138,135,136,137,137,136,132,131,131,129,127,130,134,135,137,138,139,141,141,139,139,138,136,133,131,131,131,132,133,133,133,133,134,136,138,139,140,140,139,137,136,137,138,139,140,141,141,139,139,141,143,143,143,144,142,140,139,139,137,136,136,137,139,140,142,143,143,143,143,146,147,146,145,144,144,143,142,143,145,145,144,142,140,139,141,145,147,147,147,149,149,147,144,141,140,141,143,144,147,152,155,152,147,148,151,150,147,144,145,144,141,140,143,147,149,147,145,146,147,148,147,147,146,146,148,151,150,149,147,144,143,144,143,140,139,141,145,148,147,143,142,144,142,139,141,144,147,147,146,146,146,148,148,149,148,145,141,141,144,146,146,144,144,146,148,150,150,150,149,150,150,149,149,150,149,148,147,147,148,151,154,155,156,156,154,151,149,149,151,153,155,157,158,158,158,157,157,159,159,157,152,150,153,157,158,157,155,154,157,160,159,159,159,158,156,155,157,156,153,150,150,150,152,152,151,150,148,146,144,144,145,145,144,144,145,145,143,143,142,141,139,139,138,138,138,138,138,141,143,141,137,135,134,135,136,136,136,137,136,135,136,140,143,141,138,137,137,138,139,141,142,142,139,136,137,140,142,142,142,143,144,142,139,137,136,135,132,130,132,132,131,132,136,140,139,137,140,142,142,143,145,146,144,144,149,149,146,146,149,152,152,150,149,147,147,147,146,144,142,140,142,144,145,146,148,150,149,146,146,147,148,151,154,154,153,153,153,152,148,147,150,153,155,154,153,151,148,146,147,151,153,152,154,157,155,151,150,148,146,146,147,145,146,146,144,143,143,144,144,144,142,139,138,137,137,138,141,143,141,138,138,142,146,145,142,144,146,148,149,148,144,142,142,143,146,149,151,151,151,148,145,145,145,142,143,146,146,146,146,146,144,141,139,136,136,137,138,138,138,140,140,139,136,135,138,138,138,138,139,140,142,144,145,145,143,144,144,144,144,144,143,142,143,143,143,143,145,148,149,148,145,146,149,150,148,147,148,151,155,158,158,156,155,158,159,158,157,null],[135,133,128,123,124,130,133,133,132,132,131,130,128,127,126,127,128,129,128,129,131,131,130,131,135,136,133,133,136,138,137,136,137,139,140,140,140,140,141,142,141,139,139,139,138,138,139,140,138,134,131,130,130,129,127,129,133,136,137,138,140,140,140,141,140,139,136,133,132,131,131,130,131,133,135,135,135,136,138,139,139,139,137,137,137,137,137,138,139,140,140,138,138,141,143,144,144,144,142,139,137,137,136,136,136,138,140,141,142,141,140,140,142,143,143,143,143,143,143,142,141,143,145,144,141,140,138,138,141,145,147,147,146,146,148,147,143,139,139,141,143,145,147,151,153,151,148,149,150,147,145,145,146,145,140,140,143,146,147,145,144,144,143,144,144,144,144,145,149,152,151,149,147,144,141,140,140,139,139,141,145,147,146,144,142,141,139,139,142,145,146,145,145,145,145,145,146,147,146,142,140,143,147,149,149,148,147,148,149,149,148,147,147,148,148,147,147,146,146,145,146,148,151,153,154,154,154,154,152,150,149,149,151,155,156,155,156,159,160,159,157,157,156,154,153,153,154,157,159,160,158,157,158,159,159,158,157,155,154,155,157,156,153,150,150,152,153,153,151,149,149,147,145,145,147,147,147,147,148,149,148,146,145,144,142,141,140,139,139,138,138,141,143,140,135,132,132,133,134,136,137,138,136,136,140,144,144,140,138,140,140,139,139,141,143,142,139,136,136,139,143,144,144,144,146,145,141,138,137,137,134,133,133,133,132,132,135,140,141,140,141,141,142,144,146,147,149,150,151,149,148,148,150,151,151,150,150,149,147,147,146,142,139,138,142,146,147,145,145,148,149,148,148,150,153,157,158,156,154,153,152,151,149,150,153,153,154,155,154,151,146,144,145,146,148,148,151,154,153,150,148,144,144,146,146,144,145,147,146,145,146,148,146,142,138,137,136,137,138,139,142,145,144,140,137,140,145,147,146,147,146,145,146,145,143,141,141,141,144,148,151,152,151,150,147,145,143,142,143,147,149,148,146,147,148,147,144,140,138,138,139,139,139,141,143,143,140,138,140,140,139,139,139,139,141,143,145,147,147,146,146,148,148,145,142,141,143,144,144,146,149,152,153,151,149,150,153,154,152,149,149,150,153,158,163,161,158,159,161,160,156,null],[134,133,128,123,123,129,132,132,130,130,130,128,127,127,127,128,131,132,129,130,133,134,135,137,138,139,139,138,139,140,141,139,137,138,141,141,138,139,140,140,139,138,137,138,139,139,139,139,136,134,130,129,130,129,128,130,134,137,138,137,137,138,140,140,139,137,136,135,133,131,131,131,132,132,133,136,137,138,138,136,136,136,137,138,139,139,139,139,140,140,139,139,140,142,144,145,144,143,140,138,138,138,136,135,137,139,141,142,141,140,139,141,143,143,141,141,142,142,142,141,141,144,144,142,140,139,139,141,143,145,147,148,147,145,147,148,143,141,142,144,146,146,147,149,150,150,150,152,152,149,146,146,147,145,141,140,142,143,143,143,144,144,143,143,143,142,143,146,149,150,150,150,149,145,140,139,141,142,143,144,146,146,144,144,141,138,137,139,142,143,143,143,144,143,142,142,144,145,143,140,140,144,147,148,150,149,148,147,147,148,147,145,145,145,145,145,144,144,144,144,146,149,152,153,152,151,150,150,150,151,151,152,153,154,154,154,155,158,160,159,156,153,153,154,156,157,157,158,160,160,158,158,157,156,155,154,153,153,154,155,156,156,154,152,150,151,153,154,153,151,150,149,147,146,147,147,147,147,147,147,146,146,145,144,144,144,143,141,140,139,138,140,140,137,134,132,132,132,134,138,139,139,137,138,142,144,141,139,139,141,142,141,141,143,143,141,138,135,134,137,141,143,144,144,146,146,143,138,139,141,138,135,132,132,132,134,137,142,142,141,141,143,145,147,146,145,148,152,151,148,146,147,148,148,148,150,151,149,145,144,144,144,141,140,141,146,150,149,145,149,150,149,148,151,156,159,159,157,156,155,155,153,151,153,155,154,152,152,153,153,151,148,146,143,143,145,150,153,151,148,147,144,142,144,144,141,145,147,144,142,142,144,142,137,135,135,136,137,139,142,144,144,143,141,139,139,141,146,149,147,145,145,146,145,140,138,138,141,144,145,146,147,148,149,149,145,143,143,144,148,152,151,148,148,151,150,148,145,142,141,139,139,140,142,145,147,143,140,141,141,140,140,140,140,142,145,146,147,148,149,150,151,149,145,142,142,143,144,146,150,152,153,152,151,152,152,153,155,156,156,154,153,154,158,161,159,156,158,160,160,158,null],[130,130,127,123,123,127,131,130,129,128,127,126,125,128,130,132,135,135,134,135,137,138,140,143,142,141,142,143,141,140,141,141,139,137,140,140,138,138,139,138,137,137,138,139,139,138,136,136,135,132,129,129,131,131,129,131,134,138,138,137,135,136,138,139,138,135,135,135,133,130,130,133,134,132,132,136,138,138,137,134,133,134,137,139,141,142,142,141,141,141,140,140,142,144,145,143,142,140,139,138,138,137,136,135,137,139,140,141,140,140,141,142,142,143,141,139,140,143,141,139,140,142,142,139,137,139,142,146,147,147,146,148,147,145,146,146,143,142,145,147,148,148,148,147,147,147,149,153,155,152,148,147,146,145,141,140,140,140,140,143,145,146,145,145,144,144,146,148,148,147,146,148,149,144,140,140,144,147,147,146,145,143,142,142,140,137,137,139,140,139,139,141,142,141,140,140,141,142,141,140,141,145,145,145,147,148,146,145,145,145,145,144,143,143,143,143,143,144,145,145,146,148,150,150,149,148,147,148,150,153,155,155,154,153,152,153,155,157,159,157,154,151,152,155,159,160,160,160,160,158,156,156,154,152,152,152,152,154,156,155,156,156,155,152,150,150,151,152,152,152,152,151,149,147,146,144,144,145,144,143,143,142,142,143,144,145,144,142,140,138,137,138,138,135,134,135,134,134,136,140,141,139,138,139,142,143,141,139,139,140,142,144,144,143,143,140,137,135,134,136,139,142,142,142,144,145,143,140,141,143,139,134,131,131,133,135,139,142,141,139,141,143,146,149,146,141,144,148,148,146,146,146,145,144,146,150,150,146,142,143,145,147,146,142,141,144,151,151,148,150,151,150,150,152,157,159,157,155,155,156,155,154,153,153,155,155,151,149,151,155,156,154,148,142,141,146,152,152,149,145,146,144,141,143,143,141,144,146,141,137,136,138,137,134,134,136,137,139,142,145,145,142,142,144,143,140,140,144,148,147,145,146,147,145,140,137,138,142,144,143,142,144,148,151,150,147,144,144,145,148,151,152,150,151,152,152,149,146,144,141,139,140,143,144,147,149,145,142,142,141,139,140,141,142,144,145,145,145,148,150,152,152,150,146,143,142,143,143,146,150,152,151,149,150,152,151,150,153,157,160,159,156,155,156,156,154,154,157,160,160,159,null],[127,127,128,124,124,126,128,127,126,126,125,126,127,128,130,134,136,137,139,141,141,140,142,144,143,141,141,141,140,137,138,141,140,138,138,138,138,137,137,137,136,136,139,140,139,136,134,134,133,130,129,131,134,134,132,132,135,138,139,138,135,134,134,138,138,134,132,132,131,130,132,134,134,134,135,137,137,136,135,133,133,136,139,140,140,140,142,142,142,142,141,140,142,144,144,141,138,137,138,138,136,135,136,136,136,138,140,139,139,140,142,142,140,139,138,136,139,143,141,137,138,139,139,137,136,139,143,147,149,148,146,145,146,145,143,142,141,143,145,147,149,150,150,148,145,144,147,151,153,152,149,146,145,144,142,140,139,140,142,144,146,148,147,147,148,148,148,149,148,145,143,143,144,140,139,141,146,148,146,143,141,139,138,139,139,138,138,138,137,136,137,139,140,139,138,139,140,140,140,141,143,144,144,144,145,145,145,144,144,143,142,143,143,142,142,142,144,145,146,145,145,145,147,147,147,147,148,149,152,154,156,158,156,152,150,152,154,156,159,156,152,151,154,156,158,159,159,159,159,156,154,154,152,150,150,151,154,157,158,156,156,156,154,152,151,150,149,148,149,152,153,151,148,146,144,143,142,143,143,142,141,141,142,141,142,144,143,140,139,138,136,137,138,136,136,137,138,138,139,141,142,139,139,141,143,144,143,141,139,140,143,145,143,142,141,139,137,135,134,136,140,142,141,140,142,143,144,144,143,140,135,132,132,132,133,135,138,139,138,137,139,142,144,145,142,139,141,144,145,146,148,146,143,142,147,150,148,144,142,145,149,150,148,143,141,142,148,150,149,150,151,153,154,155,156,157,156,154,152,151,152,153,153,151,152,155,153,147,147,153,156,155,149,142,142,147,152,151,146,143,144,142,140,143,145,144,143,141,138,136,135,136,136,134,135,137,139,142,145,145,142,139,143,146,146,143,143,145,147,148,148,148,146,144,144,142,141,143,144,143,145,149,153,153,150,147,144,143,144,146,147,148,149,153,155,155,150,144,142,141,140,143,146,146,147,148,146,144,144,142,139,140,141,141,142,142,142,144,146,149,151,152,152,149,145,143,143,144,146,149,150,148,148,150,152,149,148,151,155,156,156,154,153,153,153,153,156,160,161,159,157,null],[127,129,130,126,123,124,125,125,125,125,126,129,130,130,132,135,136,138,141,142,141,139,139,140,141,139,138,137,136,134,135,138,138,137,138,139,138,137,136,136,136,137,139,139,137,134,132,132,131,129,131,135,136,135,134,134,136,137,138,137,134,132,133,137,138,132,130,130,130,131,133,134,134,136,137,137,135,134,135,135,136,138,139,139,140,140,141,142,143,143,142,141,141,143,144,141,138,136,136,136,135,136,137,138,138,139,139,137,136,139,142,141,137,135,135,136,139,141,139,135,135,136,136,136,138,142,144,145,148,148,145,143,143,142,141,140,141,143,145,148,149,150,149,147,144,144,147,149,149,149,147,145,144,143,142,140,139,142,144,145,145,146,147,148,149,148,148,148,147,144,141,140,139,137,138,143,147,147,144,139,137,137,137,139,139,139,138,137,137,136,136,138,140,140,139,138,139,139,140,141,141,141,141,142,142,143,143,143,142,141,142,144,145,144,143,142,143,145,146,146,145,145,146,147,149,151,152,151,152,155,157,158,157,153,150,150,152,156,158,155,151,152,155,157,157,156,156,156,156,154,152,151,151,149,149,151,154,157,157,157,157,157,156,155,155,154,151,148,148,150,151,149,146,145,145,144,144,144,144,144,143,142,142,140,139,140,140,138,138,139,138,137,137,138,141,142,142,141,142,143,143,141,142,145,147,146,144,140,139,141,144,145,143,141,139,137,135,136,137,137,140,142,141,141,143,144,145,145,141,136,132,130,132,133,134,135,136,136,135,137,140,141,140,139,138,139,141,144,144,146,147,144,142,143,148,150,148,146,146,149,151,151,149,145,142,142,146,149,150,151,153,155,155,155,154,156,158,156,151,149,151,154,153,150,150,154,153,145,144,150,154,152,147,144,144,146,149,148,144,142,144,143,141,143,145,144,141,138,137,136,136,137,138,137,136,138,142,146,146,142,138,137,141,144,144,143,145,147,148,150,150,148,146,145,147,144,141,144,146,146,150,154,154,151,147,143,141,141,143,145,144,144,146,151,156,154,149,143,142,143,144,145,146,148,148,148,148,148,147,143,140,139,140,140,140,140,141,142,143,145,147,150,151,150,146,144,144,144,144,146,148,147,149,151,150,148,148,151,153,151,151,151,150,151,153,156,160,161,160,157,154,null],[130,132,130,127,124,122,123,126,126,126,128,129,130,131,133,136,136,138,140,139,137,135,135,137,137,136,135,133,133,134,135,137,137,137,139,139,137,136,134,134,135,136,138,138,136,133,131,131,130,130,134,136,135,135,135,136,136,135,135,134,133,133,135,138,137,132,130,130,129,131,134,135,135,135,135,135,134,134,134,137,138,138,139,139,141,141,141,142,143,143,143,142,142,142,143,141,139,138,136,135,136,138,138,139,140,139,137,135,135,137,141,140,136,134,135,137,137,137,136,135,134,134,136,138,142,146,146,145,144,144,144,142,140,140,140,141,143,145,147,149,149,147,145,145,146,147,149,148,147,147,146,144,144,144,143,140,138,141,143,143,142,143,146,148,148,146,145,145,145,143,141,139,137,137,140,144,146,145,141,136,135,137,140,141,142,142,140,139,139,138,137,139,142,143,142,141,141,141,140,140,140,140,140,140,142,143,143,143,142,142,143,146,146,146,144,142,143,144,146,147,148,148,148,149,151,155,155,153,153,156,159,159,157,155,152,149,151,154,156,153,150,151,153,154,154,153,152,153,153,152,151,151,151,152,152,153,154,154,155,156,158,158,157,158,159,158,155,151,148,147,146,145,144,145,147,147,146,146,146,147,147,145,142,139,138,138,138,137,139,141,141,138,136,139,143,146,145,144,143,144,144,144,145,148,148,145,141,138,140,143,145,144,142,139,137,134,134,139,140,138,139,142,143,143,145,147,146,141,136,132,130,131,133,135,136,137,135,134,135,139,141,140,136,134,136,140,143,145,144,144,144,142,142,145,147,149,149,149,150,150,150,149,148,145,143,143,147,148,149,153,155,156,155,153,152,155,159,157,152,148,151,157,155,151,149,153,152,144,144,149,152,149,146,145,146,144,144,145,141,140,145,145,142,141,141,141,139,138,137,137,137,139,140,139,138,138,143,146,145,140,137,138,141,141,142,143,144,148,150,151,150,148,147,148,147,143,140,143,148,150,153,153,152,149,145,142,140,140,143,146,146,143,144,149,153,153,148,144,145,147,148,147,147,150,150,149,151,152,148,144,142,140,140,139,140,141,142,141,141,141,143,146,147,147,145,146,146,144,143,144,146,147,149,149,147,146,148,150,150,148,148,149,150,152,155,159,162,160,158,155,152,null],[133,132,129,128,127,123,122,125,125,126,127,127,128,129,133,136,138,140,140,136,133,131,134,136,134,132,132,133,134,136,138,138,138,138,139,139,136,135,135,134,133,134,135,136,137,133,130,130,131,131,134,135,134,135,136,136,135,133,132,133,134,137,138,138,136,135,133,131,130,130,133,136,136,134,132,132,134,135,134,135,137,138,138,139,141,141,141,141,142,142,143,143,142,140,139,139,139,137,136,134,136,138,138,140,142,139,136,136,136,138,139,139,137,136,136,136,135,135,137,138,137,137,139,141,144,147,148,146,142,140,141,141,140,140,142,144,146,147,148,149,148,144,144,147,149,149,150,148,147,146,145,144,145,146,144,139,135,138,140,140,140,142,145,148,147,144,142,142,142,142,141,138,137,140,144,145,145,143,138,135,136,139,142,143,144,144,144,143,142,141,140,140,143,146,146,145,144,143,142,142,143,143,142,142,144,145,146,146,145,144,144,145,147,147,145,143,143,143,145,147,148,149,149,149,150,153,155,156,155,157,161,161,159,158,155,151,150,152,152,149,148,149,150,151,150,150,150,151,151,151,151,153,155,157,158,158,157,154,153,155,156,157,158,159,160,159,156,152,148,145,143,142,143,145,147,148,148,147,148,149,149,146,142,140,139,138,137,137,139,142,143,141,139,139,143,146,147,146,145,145,145,146,147,148,146,142,139,140,143,144,144,142,139,136,135,135,137,142,142,137,137,142,143,144,147,148,144,136,132,131,131,132,134,136,138,138,137,135,135,137,138,137,135,134,136,140,143,143,142,142,143,145,145,145,145,145,149,150,149,147,146,145,144,144,144,145,147,147,149,152,155,156,155,153,152,153,156,155,150,146,150,156,154,150,148,151,150,145,145,149,150,148,145,146,147,144,142,141,138,139,142,143,140,139,138,138,137,137,136,137,139,141,142,141,139,138,141,145,146,142,139,141,143,143,146,145,145,148,153,153,151,148,148,148,147,144,141,142,146,150,151,150,150,150,148,147,144,140,144,149,149,146,146,149,152,151,148,147,147,149,150,150,151,154,154,152,152,152,149,146,143,142,142,141,142,143,142,141,140,139,140,142,143,143,143,146,147,146,144,144,144,144,146,146,145,145,147,147,146,145,147,151,154,156,158,159,159,156,154,152,150,null],[135,133,130,131,132,127,124,123,124,125,125,125,127,131,135,137,140,141,139,134,130,129,132,135,134,131,131,133,136,139,139,138,138,139,139,139,138,137,136,134,133,134,133,136,137,134,130,131,133,134,134,133,134,135,135,135,134,133,131,132,137,138,137,135,135,136,135,132,130,129,132,134,134,132,131,132,134,135,134,134,135,136,138,139,140,140,140,141,141,141,142,142,141,139,137,136,136,136,135,134,136,138,138,140,142,139,136,136,137,139,139,139,137,137,136,134,134,136,138,139,138,141,143,144,145,147,149,147,143,140,140,141,142,143,145,147,148,148,147,147,145,144,146,149,150,149,147,146,146,146,145,143,144,146,144,138,135,135,138,139,140,141,143,145,145,142,140,140,140,140,140,138,138,142,146,145,143,141,137,136,137,140,142,143,145,146,146,146,144,143,142,141,143,147,148,148,146,145,144,145,146,146,145,144,146,148,149,148,147,146,145,145,147,149,148,145,143,143,144,146,148,148,148,148,149,150,152,155,156,158,160,161,160,161,157,152,150,150,150,149,148,147,148,150,151,150,150,150,150,151,152,155,157,159,161,161,160,156,154,156,157,156,157,159,161,160,157,153,149,147,144,143,145,147,146,147,148,149,151,151,148,144,142,141,141,140,138,136,138,142,144,144,142,141,142,145,148,147,147,146,146,146,145,144,142,140,140,143,145,144,142,139,137,135,135,137,142,146,143,136,136,141,144,145,145,144,140,134,131,132,133,134,136,138,141,141,140,136,135,135,135,136,137,137,138,139,141,141,141,141,144,147,148,145,143,144,149,151,147,145,144,144,143,143,146,147,146,146,149,152,155,156,156,153,150,149,150,150,148,146,148,151,151,148,147,150,151,146,145,149,151,149,145,146,147,146,143,140,138,139,140,140,138,138,138,138,137,136,135,136,138,140,141,143,140,139,141,144,147,144,142,143,145,146,148,147,146,149,153,153,149,146,146,147,147,144,142,141,142,145,147,149,152,153,151,150,147,143,146,152,151,149,149,151,151,150,150,150,149,150,152,152,153,155,155,152,150,149,148,146,143,144,145,146,145,143,143,142,141,139,139,140,140,141,142,144,146,147,147,146,144,144,144,145,146,145,145,145,145,147,150,153,156,157,156,155,153,152,150,149,149,null],[134,135,133,134,135,131,127,123,122,123,123,125,130,137,139,139,139,139,135,132,130,127,129,132,133,132,132,134,136,138,138,137,137,138,140,140,140,140,138,135,134,135,134,134,134,132,130,132,135,135,134,134,135,134,134,134,135,134,131,132,137,137,133,132,132,133,132,131,129,129,131,132,131,130,132,134,135,135,136,136,135,136,137,138,138,139,138,140,142,141,140,141,140,140,139,137,135,135,134,133,136,139,139,139,140,139,136,135,136,139,140,139,137,136,136,135,137,139,140,139,140,143,146,146,146,147,148,147,145,143,143,143,143,144,146,147,147,146,145,145,144,144,146,148,149,146,143,141,142,144,143,140,141,142,140,138,136,137,139,141,141,141,142,142,141,140,138,138,137,138,139,138,138,142,145,144,141,139,138,138,139,140,141,143,145,147,147,146,145,144,144,143,143,145,147,148,148,147,147,147,147,147,146,146,146,148,150,148,147,148,148,148,149,150,150,148,145,144,144,145,146,146,147,148,150,150,151,152,156,158,157,157,159,160,157,151,148,148,150,153,153,151,150,152,154,154,153,152,152,153,154,155,156,158,159,161,161,158,157,159,159,157,156,159,162,161,158,154,152,150,147,146,148,148,146,146,148,151,153,152,147,143,142,143,144,143,139,137,138,141,145,145,144,144,145,147,148,148,148,146,145,143,141,139,140,142,144,145,145,144,141,138,137,137,139,141,146,149,145,137,136,141,145,146,143,139,136,134,132,132,134,136,138,141,143,145,142,138,137,137,136,137,140,141,140,139,139,141,143,143,143,146,146,144,144,146,151,151,148,145,144,146,146,146,149,149,147,147,149,153,156,157,155,151,148,146,146,148,150,150,149,147,147,146,146,151,152,146,144,148,152,151,146,144,145,147,146,143,141,141,141,139,138,139,140,140,137,134,135,137,139,139,140,143,142,140,142,145,148,144,141,142,144,147,147,146,147,150,152,150,147,144,145,146,146,144,142,141,140,141,145,150,154,154,151,148,146,145,148,151,151,150,150,150,150,151,153,153,151,151,152,151,150,152,151,148,146,146,145,144,143,145,147,148,147,144,142,142,142,141,140,141,142,142,142,142,144,146,147,147,146,145,147,148,148,146,143,145,148,151,152,152,151,152,151,148,147,148,147,146,146,null],[133,133,133,133,132,131,129,126,123,123,125,127,131,137,139,139,138,137,133,131,129,127,128,131,132,133,135,135,135,136,137,137,137,139,141,141,139,140,139,136,136,136,133,131,130,129,128,131,134,135,134,135,137,135,132,133,134,133,131,132,135,135,131,131,130,129,129,130,129,129,131,132,132,131,133,136,137,136,137,137,138,138,137,138,138,138,138,139,141,141,140,139,139,140,139,137,135,134,132,133,136,138,138,137,137,136,135,135,136,138,139,139,137,135,135,136,139,140,142,142,142,142,143,145,146,145,145,145,145,144,142,141,142,145,146,146,144,144,145,146,146,145,146,146,145,142,140,140,141,142,139,136,136,138,137,137,139,140,141,141,140,140,140,140,139,138,137,137,136,135,135,135,137,140,142,140,139,139,140,141,141,142,143,145,146,147,147,146,146,146,146,147,146,145,146,147,148,149,149,149,148,147,146,147,148,149,149,147,147,149,150,150,151,151,149,147,145,145,145,145,144,145,148,150,152,153,153,154,157,157,154,154,158,159,156,152,147,146,150,157,160,157,154,154,156,157,157,156,156,157,157,157,157,158,159,160,161,160,160,161,160,158,158,160,161,159,157,154,153,150,148,147,149,148,146,145,147,152,154,151,147,144,143,144,145,144,141,139,138,142,146,147,146,146,148,148,148,147,147,145,142,139,138,139,142,145,146,145,144,142,139,136,137,140,144,145,146,147,144,139,137,140,145,147,143,139,136,135,134,133,135,136,138,140,142,144,144,141,141,140,136,136,139,142,141,140,139,141,145,145,143,143,144,145,147,149,151,150,147,145,145,148,149,148,149,150,149,148,149,152,156,156,153,150,149,148,148,150,152,153,151,148,147,145,145,150,151,145,143,146,150,150,145,143,143,145,147,146,144,142,141,138,137,139,140,139,136,135,138,143,144,141,140,143,143,140,141,146,149,145,140,140,145,149,149,147,148,151,151,149,148,148,147,146,143,143,144,145,144,140,145,150,152,152,150,147,145,144,147,150,152,151,149,150,151,153,155,156,154,152,151,149,149,151,150,146,146,147,144,142,141,142,144,145,145,144,141,140,141,143,144,145,146,147,146,144,142,144,145,145,145,148,149,150,150,147,144,145,148,150,150,149,147,147,146,144,144,146,146,145,145,null],[132,131,131,130,129,128,128,127,123,124,127,128,128,131,134,136,137,136,131,129,128,128,129,132,133,133,136,137,136,137,137,137,137,139,141,140,137,139,140,137,136,136,133,131,130,128,127,129,132,133,134,135,137,134,131,132,132,131,131,131,133,132,131,131,130,128,128,129,130,131,133,136,136,133,134,137,139,139,138,138,139,139,138,138,138,138,139,140,140,140,139,138,138,137,136,136,136,134,132,133,135,137,136,135,135,134,133,134,135,137,138,138,137,134,134,137,139,140,142,144,143,141,141,143,144,141,140,141,142,141,139,139,142,145,147,145,142,143,147,149,148,147,146,145,143,141,141,141,141,140,137,133,134,136,135,136,139,141,142,140,138,138,138,139,139,138,137,137,135,134,132,132,134,136,137,138,138,139,140,141,143,145,146,146,146,146,146,147,148,147,147,148,148,147,147,147,148,149,150,151,150,147,146,148,149,148,147,147,148,150,151,151,151,150,148,146,146,146,146,145,144,146,149,151,153,155,155,155,157,155,152,153,156,156,154,151,147,144,148,156,161,160,156,154,156,158,159,158,158,159,159,159,158,159,159,159,159,160,161,161,160,159,162,163,161,159,157,156,154,151,147,146,148,149,147,146,148,152,154,152,148,146,145,146,146,145,144,143,143,144,147,148,147,147,148,148,146,145,145,144,142,140,140,144,146,146,145,144,142,141,139,137,139,144,147,146,143,142,142,142,141,141,144,146,145,142,139,136,134,134,134,135,137,138,139,142,145,144,144,141,137,136,138,141,141,141,139,140,144,145,143,142,144,147,149,150,150,148,147,145,145,147,150,151,150,151,152,151,150,153,156,155,152,150,153,153,152,153,154,154,152,150,149,146,145,147,148,144,142,144,146,146,143,142,141,142,144,145,143,140,138,137,136,138,138,136,135,137,143,148,148,142,141,145,145,141,141,145,150,147,142,141,145,150,151,149,147,149,150,149,151,152,150,145,142,143,147,150,148,143,145,148,148,149,151,150,147,145,146,151,153,153,151,152,154,154,155,156,154,152,152,151,152,153,151,148,148,147,144,142,141,141,141,141,142,143,141,139,140,144,148,149,150,150,149,146,144,144,143,141,144,148,151,151,150,148,145,144,144,146,147,147,146,145,144,144,144,144,145,145,147,null],[133,132,131,132,131,128,126,125,122,123,125,127,126,127,129,132,136,135,130,127,126,128,131,134,134,134,135,137,138,138,137,137,136,137,139,138,137,138,139,136,135,135,133,133,134,132,130,129,131,133,133,133,134,131,128,129,129,129,130,131,131,130,130,130,130,129,129,130,132,134,137,140,138,135,134,137,140,140,138,138,138,138,138,138,138,138,139,140,140,140,139,138,137,136,135,136,137,135,134,135,135,134,133,133,134,133,133,133,136,138,139,137,135,133,133,136,138,139,141,142,142,141,142,144,141,136,136,139,139,138,137,138,142,147,149,146,143,144,148,150,150,150,148,147,146,145,144,142,141,140,138,135,135,136,135,134,136,139,140,139,137,135,136,137,138,137,136,136,135,135,132,131,132,133,135,138,139,139,138,140,144,144,144,144,144,144,144,146,147,147,147,147,148,148,147,147,148,150,152,152,151,149,148,148,149,148,146,147,150,152,152,150,149,149,149,148,148,147,146,144,145,147,149,150,151,152,153,153,153,152,149,151,153,151,149,148,146,145,147,152,155,156,155,155,156,158,158,157,156,157,158,158,157,157,159,158,157,156,158,160,161,161,164,165,163,161,160,160,157,152,147,146,148,150,149,147,148,152,154,152,149,147,148,149,149,147,148,148,148,147,147,147,148,148,147,144,143,142,143,145,146,144,146,148,147,145,143,140,139,142,143,142,145,147,147,144,142,141,141,143,144,144,143,144,145,145,141,136,134,134,134,135,138,138,139,143,146,146,143,140,138,139,140,140,140,140,139,139,142,144,144,144,146,148,149,148,148,148,149,147,144,144,149,154,154,153,154,154,154,156,157,157,154,153,156,156,153,153,154,153,153,151,148,147,147,146,145,144,143,144,143,142,140,140,140,140,140,139,138,137,137,137,137,138,137,135,135,139,145,148,146,142,142,147,148,145,143,146,149,147,144,142,144,148,150,148,146,147,149,150,151,152,148,143,143,145,148,149,148,146,146,146,147,149,152,151,149,146,147,152,154,155,154,155,156,154,153,153,152,152,153,155,155,154,153,150,147,144,143,143,142,143,144,142,141,142,145,143,141,145,150,151,150,149,148,149,148,147,143,139,142,148,151,151,151,150,148,145,144,144,146,147,147,146,145,145,145,144,144,146,150,null],[135,133,131,132,131,127,125,124,123,122,123,125,125,124,127,132,135,132,128,126,127,128,131,134,135,134,135,137,138,139,138,138,137,137,137,137,136,137,136,134,133,134,134,136,137,136,133,130,130,133,133,131,131,129,126,127,128,129,130,130,130,129,129,130,131,131,132,134,136,139,139,140,138,135,135,137,139,139,138,138,137,136,136,137,138,138,137,138,139,139,138,138,136,135,136,138,137,137,136,136,136,134,133,133,135,136,135,134,136,139,139,137,134,132,132,134,137,140,142,141,139,141,144,143,138,134,136,139,139,137,137,139,144,148,147,144,144,145,148,150,150,150,149,149,150,149,146,142,141,142,141,138,136,135,134,133,133,136,139,138,135,133,134,135,136,135,135,135,137,137,136,135,135,135,136,139,141,142,140,140,141,141,141,143,144,144,145,146,145,146,146,146,147,149,149,149,149,150,151,152,153,152,151,150,150,149,146,148,151,153,153,152,151,151,152,152,151,150,148,146,146,146,147,147,148,148,148,149,149,148,147,147,148,148,147,146,146,147,148,149,150,151,152,152,154,155,154,154,154,155,156,157,157,157,157,156,154,154,157,160,160,160,162,163,163,163,162,160,158,153,149,148,149,151,151,149,150,153,154,152,150,150,150,150,150,149,150,150,148,146,145,146,148,147,145,144,143,142,143,146,148,147,148,148,145,143,141,138,138,142,145,146,147,147,144,143,145,146,144,143,145,146,144,143,145,145,142,137,135,134,134,136,140,140,141,143,146,146,142,139,139,141,142,142,142,141,140,140,142,145,146,146,147,149,148,147,147,149,151,150,146,145,148,154,157,157,156,155,156,155,156,156,155,156,158,156,153,152,151,151,152,151,148,148,148,147,147,147,147,146,144,142,140,139,139,139,139,138,136,137,140,141,139,138,136,135,137,142,146,148,146,144,145,148,147,145,147,150,150,147,143,142,145,147,148,146,146,148,149,149,149,148,146,144,144,145,147,149,149,148,148,148,150,152,152,152,149,147,147,150,152,154,155,155,156,155,153,152,151,152,154,155,152,150,149,147,145,143,143,143,144,148,148,143,141,144,149,147,142,143,147,148,148,148,148,149,150,148,143,140,141,147,150,152,153,152,150,147,146,147,148,148,148,147,146,147,148,146,144,146,150,null],[136,133,130,130,129,128,126,125,124,123,124,123,123,124,128,133,132,129,126,127,129,129,131,134,134,133,135,137,137,139,139,139,139,139,138,136,134,134,134,134,135,135,134,134,136,136,133,129,130,133,133,131,129,129,128,128,129,131,131,130,130,130,129,131,132,134,134,137,139,139,138,137,136,137,136,136,138,138,138,137,136,134,134,135,137,136,134,135,137,137,136,136,134,135,139,139,136,136,136,136,135,135,134,135,136,138,138,135,135,137,138,137,136,134,133,134,137,142,144,141,138,140,143,139,136,136,138,140,141,140,139,141,145,147,143,141,144,147,147,148,148,148,149,151,151,149,146,143,142,144,144,141,137,135,134,133,134,136,138,136,134,133,134,135,136,135,135,137,139,140,140,141,141,140,139,139,142,145,145,142,139,139,141,143,144,145,148,147,145,145,147,147,147,149,151,151,149,149,150,152,153,153,154,153,153,151,149,150,151,153,154,155,155,155,155,153,152,152,151,149,147,145,145,145,146,145,145,146,147,147,146,145,146,147,147,147,148,150,150,150,150,149,149,150,150,151,151,151,151,153,154,156,157,157,156,154,154,156,158,160,158,157,158,161,162,162,161,158,155,153,150,149,149,151,152,151,151,152,153,152,151,151,151,149,148,148,148,146,144,142,142,145,147,147,147,147,146,144,144,146,147,146,146,145,142,140,140,139,138,140,143,146,147,145,143,145,150,152,149,144,144,147,146,146,146,144,140,137,136,136,135,138,143,143,142,143,145,145,142,139,140,141,142,144,145,143,142,141,143,146,147,148,148,149,149,148,148,150,152,152,150,149,149,152,157,159,157,155,154,153,152,151,153,157,157,156,152,152,150,148,150,152,150,149,149,150,151,152,151,148,146,145,143,140,139,138,139,140,139,140,144,144,140,138,137,138,141,145,148,149,148,149,149,148,144,144,149,152,150,145,141,142,146,148,148,147,147,149,152,150,146,145,147,147,144,144,146,150,151,150,149,151,154,155,153,152,149,145,144,148,150,152,153,154,156,157,156,153,152,152,152,150,146,144,142,142,143,144,143,143,146,151,150,143,142,145,147,146,143,143,143,142,145,149,150,150,150,147,144,142,143,145,148,151,153,151,149,148,149,150,152,151,149,147,146,148,150,150,147,147,148,null],[133,131,130,128,127,129,128,127,125,124,123,122,123,125,129,131,130,128,128,129,129,130,132,133,132,132,135,137,137,139,138,137,138,139,138,135,131,133,136,137,138,135,132,131,132,132,130,127,129,133,132,130,129,130,131,130,131,134,133,131,132,132,131,133,135,136,135,135,137,136,134,134,135,136,137,136,138,137,136,135,134,134,133,133,133,133,132,134,136,134,133,133,134,136,139,138,135,134,134,133,133,134,135,136,136,137,136,135,134,135,135,137,137,138,137,136,138,142,144,142,139,140,140,136,135,138,141,142,143,143,143,145,145,144,140,140,145,148,146,145,146,148,149,151,150,149,146,145,145,146,147,144,139,135,134,134,135,136,136,135,134,135,136,137,138,137,137,138,141,143,144,145,145,142,139,139,141,144,147,146,142,143,144,143,143,145,148,149,146,146,148,149,149,150,152,152,150,149,149,151,152,152,153,155,155,153,151,151,151,153,154,155,155,155,154,152,150,151,151,150,148,146,145,144,144,143,143,144,146,147,147,147,147,146,148,150,152,153,152,152,152,151,150,150,150,150,149,150,151,151,152,153,155,156,156,157,158,159,160,158,156,156,158,160,161,161,160,158,154,151,149,148,149,151,152,153,151,150,150,151,151,151,150,147,145,145,144,142,142,141,141,143,147,148,149,150,147,145,144,145,146,144,143,140,139,139,141,141,140,140,142,145,146,146,146,149,152,153,151,148,145,145,145,147,147,143,138,136,136,136,137,140,145,145,144,144,146,145,141,139,141,142,142,145,146,145,144,143,143,145,148,149,149,150,149,148,148,150,151,152,153,151,151,152,157,158,156,154,155,155,152,148,151,155,156,155,153,153,150,146,148,152,152,150,151,152,154,155,152,148,146,147,146,143,139,138,139,142,144,146,147,144,139,137,138,140,143,146,148,148,148,150,151,149,146,146,150,151,147,142,142,144,148,150,153,152,149,151,153,151,147,145,149,150,145,143,145,149,150,149,148,150,155,157,154,151,146,143,144,150,153,154,153,154,157,158,156,153,152,152,148,145,143,142,141,140,143,144,144,145,149,151,151,146,145,145,142,142,146,149,147,143,144,149,152,153,151,147,144,143,142,143,144,146,148,147,146,147,148,149,152,154,152,149,148,150,153,153,151,150,151,null],[129,128,129,126,126,130,130,128,126,124,123,123,124,126,128,129,128,128,130,130,130,131,131,132,132,133,136,137,137,137,136,134,135,137,137,133,130,132,136,138,137,133,129,127,127,128,127,126,128,131,131,129,131,134,135,133,132,135,134,133,134,134,133,135,136,136,134,132,133,133,132,133,136,137,138,137,138,137,135,133,133,133,133,131,131,132,132,134,134,132,131,132,134,135,136,135,133,131,132,133,133,134,136,137,136,135,134,134,133,133,134,136,138,140,140,139,140,141,141,140,140,139,137,135,137,139,141,143,145,146,146,146,145,143,140,140,143,146,145,144,146,149,150,150,149,147,146,147,148,149,148,145,141,137,134,134,134,134,133,134,134,136,139,141,142,141,140,141,143,145,146,146,145,142,140,140,140,142,145,146,146,147,146,144,143,144,147,148,147,147,149,151,151,152,152,152,150,149,150,151,151,151,153,155,155,153,151,150,152,154,155,154,153,154,154,151,148,148,149,149,150,150,148,146,146,145,146,146,147,149,151,152,151,149,150,153,156,156,155,154,155,154,152,153,153,152,151,152,152,151,151,152,152,153,157,160,160,160,158,156,155,157,160,161,161,161,161,160,156,151,148,148,150,152,153,153,151,148,148,148,149,148,147,146,145,144,143,143,144,144,141,142,143,145,148,149,146,143,142,143,144,142,140,138,138,139,141,142,142,142,144,145,146,147,149,151,151,150,150,150,148,145,144,145,144,140,136,135,135,136,137,140,144,145,145,146,146,144,141,141,143,143,142,144,146,146,146,145,143,144,147,148,150,152,150,148,150,150,150,152,154,154,154,155,157,156,155,155,156,158,155,150,150,152,153,152,152,152,149,145,147,152,154,152,151,151,152,153,150,147,145,145,146,144,140,138,139,141,147,149,148,142,137,137,139,142,144,145,146,145,146,148,150,150,150,151,151,148,143,140,143,146,148,150,154,154,151,152,153,151,149,148,151,151,146,144,145,147,149,148,147,149,153,156,154,149,144,144,147,151,153,154,154,155,156,156,153,152,153,152,146,143,144,143,144,144,144,143,144,146,150,152,151,148,147,144,138,139,147,152,152,147,145,149,152,154,153,149,146,144,143,142,143,143,144,144,145,147,147,148,151,154,154,151,150,153,156,154,153,153,154,null],[127,125,126,123,124,128,129,127,126,124,123,124,126,126,127,129,128,129,131,133,133,132,132,133,134,136,137,137,136,134,132,132,133,134,134,133,131,131,133,135,134,129,127,124,124,124,126,128,128,129,129,130,133,136,137,136,134,135,134,134,133,133,134,134,135,134,132,132,133,132,132,135,138,139,139,139,139,138,136,134,132,132,132,132,132,133,132,131,131,131,132,133,134,134,134,133,132,132,133,136,136,136,137,137,135,134,133,134,133,132,133,134,137,139,142,142,141,140,137,137,138,137,135,137,139,140,141,143,145,145,144,144,145,145,142,138,140,142,145,146,148,151,152,151,148,146,147,148,149,149,147,143,140,138,135,134,133,132,132,133,135,138,141,145,146,144,143,143,145,146,146,145,144,143,143,143,143,142,142,144,146,147,148,147,145,145,146,148,148,149,150,151,152,152,151,150,149,149,150,151,152,154,154,155,155,153,150,149,152,156,156,154,152,153,154,151,148,147,148,149,152,153,152,150,149,150,150,151,151,152,154,156,156,153,152,154,157,158,158,158,158,156,154,155,155,155,154,154,155,154,153,153,152,153,156,158,158,157,156,155,156,159,161,162,161,161,160,160,156,151,148,149,151,153,153,152,150,148,147,146,145,145,145,146,146,146,147,148,149,147,144,141,140,140,142,144,143,141,139,139,140,140,139,138,139,141,142,142,142,144,147,148,147,147,149,151,150,147,147,150,150,147,144,142,140,136,134,134,135,135,135,138,143,145,145,147,146,144,143,144,145,145,142,143,145,147,147,145,144,144,145,146,149,151,151,149,152,151,150,153,157,157,158,159,158,156,155,154,156,158,157,154,151,149,149,149,149,149,146,144,147,152,154,153,151,149,148,149,148,147,143,141,142,141,140,140,140,141,145,149,148,141,137,138,141,143,144,143,142,141,143,145,148,151,154,155,153,148,144,141,142,144,146,148,151,151,150,152,154,150,150,152,153,150,146,145,146,146,147,148,148,150,153,154,152,147,146,148,149,148,149,152,156,156,154,153,151,152,155,152,145,143,144,145,146,148,146,144,143,146,151,152,150,148,145,144,142,142,146,149,150,149,148,149,150,154,155,152,148,146,144,143,142,144,145,145,146,149,150,149,150,152,152,152,153,157,158,155,154,154,153,null],[129,127,126,123,122,125,124,124,124,124,124,126,127,126,126,128,128,130,133,135,135,134,133,134,136,137,137,137,136,133,132,132,133,132,132,132,133,131,131,132,130,127,126,124,123,122,126,131,132,130,130,131,134,136,137,136,135,134,134,134,134,133,132,132,133,133,132,132,133,133,133,136,138,138,139,139,137,136,135,133,132,130,130,131,133,133,132,130,129,131,132,132,133,134,134,134,133,134,137,139,138,135,134,134,133,133,134,134,134,133,133,133,134,137,141,144,144,142,138,136,135,134,134,137,140,142,142,143,145,145,143,142,144,145,142,138,139,143,146,147,147,149,151,151,147,145,147,150,151,148,144,141,138,136,135,134,133,133,134,135,137,140,143,146,146,144,143,145,147,147,146,144,144,144,145,146,145,143,142,143,144,146,149,149,148,146,146,148,150,151,150,151,153,154,151,148,147,148,149,152,155,156,155,154,154,152,149,148,151,155,155,153,153,153,153,151,149,148,149,151,153,153,152,152,152,152,152,152,152,153,155,157,158,157,155,154,156,158,161,161,160,158,156,157,158,158,158,158,158,158,157,156,154,152,154,155,154,156,156,155,154,156,159,162,162,161,159,157,154,150,149,151,153,153,152,151,150,148,148,146,144,144,145,145,145,148,150,150,149,147,146,143,141,139,140,141,140,139,138,139,139,140,139,138,141,144,145,144,143,146,151,154,152,149,150,150,148,146,146,149,150,149,145,141,137,135,135,135,136,137,137,138,141,144,146,148,147,145,145,146,148,147,145,145,146,147,145,145,145,144,144,145,149,152,153,152,154,152,150,154,159,159,159,159,159,157,155,154,153,154,155,155,151,147,148,150,149,148,146,145,148,151,151,151,151,150,149,148,147,145,141,139,139,140,141,141,142,145,148,148,144,140,138,139,142,144,145,144,142,141,140,143,147,151,155,155,151,148,147,144,142,142,145,148,149,148,148,152,154,152,151,153,153,149,145,146,149,148,147,147,148,150,152,153,152,149,149,152,150,147,147,151,156,155,153,153,153,154,155,152,146,143,144,145,148,150,149,146,146,149,151,150,147,145,145,146,148,147,146,146,148,151,152,151,150,153,155,154,150,147,144,143,142,144,147,148,149,151,153,153,152,150,150,151,154,159,161,159,156,154,154,null],[133,131,128,124,122,122,121,121,122,124,125,127,128,128,128,129,129,131,134,136,136,135,135,136,135,135,136,136,135,133,133,134,134,133,130,131,133,132,131,130,128,126,125,126,125,123,126,134,135,133,133,134,135,135,135,135,134,133,134,135,134,133,132,131,132,133,132,131,132,133,133,136,137,136,136,137,135,132,132,132,132,130,130,130,132,133,132,131,130,132,132,131,133,135,136,136,136,137,138,138,136,133,131,131,132,134,135,134,134,135,134,133,133,136,140,145,145,144,142,139,135,133,134,137,140,142,142,142,143,144,143,142,142,142,141,140,143,146,148,147,145,147,150,150,146,145,148,153,152,147,143,141,137,133,133,133,133,134,136,137,139,142,143,144,144,143,143,144,146,147,146,144,144,145,146,147,146,144,144,144,143,144,147,149,149,148,148,150,152,152,151,151,152,153,151,148,146,147,150,153,155,155,155,154,153,151,150,150,151,152,151,150,152,153,152,150,149,149,150,153,153,152,151,152,152,151,151,151,151,152,153,155,157,157,155,154,155,158,162,162,161,158,158,159,160,160,160,160,161,161,160,157,154,153,152,152,152,156,158,156,153,153,157,161,162,161,158,154,151,150,150,152,154,154,152,151,150,150,149,147,145,145,146,144,144,148,150,150,147,145,145,145,143,142,141,140,138,138,140,142,143,142,140,139,142,145,147,146,145,148,155,158,157,153,151,149,147,147,147,149,150,149,144,140,137,136,136,137,138,140,142,141,141,143,146,148,148,146,145,146,149,149,148,147,146,145,144,145,146,145,143,145,149,153,155,155,155,153,151,155,160,161,159,158,158,157,154,153,152,151,153,152,149,148,151,153,152,151,148,145,147,148,147,147,149,152,152,148,145,142,139,139,139,141,142,141,143,148,151,149,143,139,139,139,141,144,145,147,148,144,141,143,147,150,153,152,148,147,149,147,143,142,144,148,149,149,149,151,154,154,153,152,151,148,145,148,152,151,148,148,148,149,151,152,152,152,153,154,151,148,151,154,157,155,155,157,157,155,152,149,145,144,144,145,148,150,151,150,151,152,151,148,145,145,147,150,151,149,146,146,148,152,153,152,152,153,153,153,151,147,144,143,142,143,146,148,150,151,153,155,154,152,152,153,155,159,163,162,158,155,156,null],[134,132,127,124,122,121,121,122,123,125,126,126,128,131,133,131,130,131,134,136,136,134,135,137,135,133,135,135,134,132,133,135,137,135,130,129,130,130,130,128,125,123,124,127,130,128,129,135,137,135,135,136,136,135,134,133,132,133,134,135,133,132,133,133,132,132,131,130,133,134,133,135,136,135,135,135,133,131,131,131,131,132,131,132,133,135,134,133,133,134,133,133,135,137,138,138,138,139,138,135,133,131,131,132,134,136,136,134,135,137,137,136,136,138,142,144,144,143,144,141,136,135,136,137,137,139,139,139,142,143,143,142,140,139,140,141,144,147,148,146,145,147,149,147,144,145,149,153,152,147,145,144,138,133,131,131,132,135,137,138,139,140,141,142,142,142,142,142,143,146,147,146,145,145,146,147,147,146,146,146,144,143,144,147,148,148,149,152,154,153,150,149,150,151,151,148,147,148,152,152,152,153,155,154,152,151,153,153,152,150,148,148,150,152,151,150,149,149,149,150,150,150,151,150,148,148,149,150,151,151,152,153,154,153,153,154,156,158,160,160,159,158,160,162,161,160,159,160,162,164,162,157,155,155,154,152,152,156,160,158,154,153,155,158,160,160,158,155,153,152,151,151,153,155,155,154,153,151,148,147,147,148,148,145,144,146,149,150,148,146,145,144,143,143,142,141,139,140,144,147,148,147,144,142,142,144,146,146,147,152,156,158,158,155,150,146,145,146,147,148,148,145,141,138,136,136,136,136,140,144,146,144,142,143,144,145,146,146,145,146,149,149,147,145,144,143,143,145,147,146,144,144,147,152,155,155,156,155,154,157,161,164,161,157,155,154,153,153,153,154,153,152,151,152,154,155,153,152,149,146,145,146,146,145,146,149,150,146,142,140,139,140,140,142,144,143,143,146,150,150,145,142,139,137,139,144,146,149,152,149,144,144,147,150,153,152,148,146,147,146,144,143,143,145,147,148,149,150,153,154,153,151,149,147,145,147,151,150,149,150,149,147,148,148,149,151,154,155,151,149,153,157,158,157,158,160,159,154,150,146,144,144,145,146,147,150,151,151,152,153,152,149,148,150,151,152,151,149,147,147,148,149,150,152,154,153,150,151,151,148,144,143,143,142,143,145,148,150,152,153,152,152,154,156,157,158,160,161,159,157,158,null],[132,130,127,125,123,122,123,124,125,127,127,127,129,134,136,134,132,132,134,136,136,132,132,135,134,133,134,134,132,132,134,135,137,136,133,130,128,127,127,126,124,123,126,132,135,133,132,135,137,137,136,136,136,136,135,133,132,132,133,133,131,131,134,135,134,132,131,132,134,136,135,135,134,133,133,133,131,130,130,130,130,130,132,134,135,137,136,136,136,136,136,136,137,139,139,139,140,139,137,133,131,130,131,133,134,135,134,134,136,139,140,140,139,140,143,144,142,140,141,141,137,137,137,135,134,135,136,138,141,142,142,141,139,137,138,142,144,146,147,145,145,147,146,143,143,147,149,151,151,147,145,143,138,133,131,131,132,135,138,139,139,140,139,139,140,141,140,139,141,145,147,147,145,145,145,146,147,148,148,147,146,143,144,147,149,149,150,152,154,152,149,147,148,150,150,148,147,149,152,151,149,151,153,153,151,152,155,155,152,148,146,146,149,151,151,150,149,148,146,146,147,148,148,148,148,147,149,150,151,151,151,152,152,151,152,154,157,158,157,157,158,159,160,160,158,156,157,159,162,164,163,160,158,158,157,155,154,156,159,159,157,155,155,157,158,159,158,157,156,156,154,153,154,156,157,157,155,152,149,148,150,151,150,147,145,145,148,150,149,147,145,143,142,142,142,141,141,143,147,149,150,149,147,145,145,145,146,147,149,153,155,155,155,153,148,144,143,143,144,144,143,141,138,136,135,134,133,134,138,143,146,145,144,143,143,143,144,145,145,144,146,146,145,144,144,145,145,146,148,148,146,145,147,150,153,155,155,157,159,159,160,162,161,158,156,154,154,155,157,157,154,153,154,156,156,153,151,150,149,147,146,147,148,146,144,145,146,145,143,142,141,140,140,143,145,145,144,145,149,150,148,143,139,137,139,143,146,149,152,150,148,147,149,152,153,151,147,145,147,147,146,145,143,142,145,147,148,148,150,151,152,152,149,147,146,148,149,149,151,153,150,147,147,147,149,151,153,155,154,151,153,156,159,157,157,159,159,154,149,145,143,145,148,149,149,149,151,152,153,154,153,152,152,153,152,150,149,150,150,149,147,147,148,151,154,153,147,148,149,148,145,145,144,143,142,143,147,149,150,149,148,149,153,156,157,157,158,159,158,158,159,null],[128,128,128,127,125,124,122,123,126,129,129,128,130,134,136,134,133,133,135,137,136,132,130,131,132,134,133,132,132,133,134,134,134,135,135,134,130,126,124,125,125,126,132,137,137,135,134,135,137,137,136,135,135,136,135,133,132,131,131,131,131,132,134,137,137,133,132,134,136,138,137,135,132,130,132,132,130,129,129,129,128,128,131,134,136,137,138,139,139,138,137,137,138,139,139,140,140,139,136,134,132,131,131,133,133,132,132,134,137,140,142,141,141,140,141,144,142,138,137,138,138,138,136,133,131,133,136,139,140,140,140,139,137,136,139,142,143,145,146,145,145,146,143,141,144,148,149,150,150,147,142,138,135,133,131,131,131,134,138,141,141,140,138,137,138,139,139,139,142,145,147,147,145,145,145,145,146,149,149,149,148,145,145,148,151,152,151,150,152,152,149,147,148,150,150,148,148,149,150,149,148,149,150,150,151,153,156,155,151,147,144,146,148,151,153,151,148,146,144,143,145,146,146,147,149,149,150,151,151,150,150,151,151,151,153,157,158,156,154,155,158,160,160,156,153,153,155,158,161,162,162,163,162,161,160,158,156,155,157,159,159,158,156,156,158,158,157,157,158,158,157,156,155,157,158,156,154,153,152,151,152,153,151,148,145,145,148,150,148,146,146,144,142,142,142,141,142,145,148,149,149,149,149,149,148,148,148,149,150,152,153,154,151,148,146,144,142,141,141,140,139,139,137,137,135,133,131,132,135,141,145,146,145,143,142,142,145,147,145,142,142,142,143,145,147,147,146,146,149,150,148,146,147,148,152,155,155,158,162,160,157,157,159,159,158,156,157,158,159,157,154,154,157,158,154,150,148,147,148,149,149,150,150,148,144,143,144,146,148,147,142,139,140,143,146,147,146,147,150,150,147,143,140,139,140,143,145,148,149,149,150,151,153,154,152,149,145,145,148,150,150,147,144,143,145,146,146,146,147,149,151,153,152,149,148,148,149,150,152,154,152,149,149,150,153,152,153,155,156,155,152,154,158,156,153,156,158,154,150,145,143,146,152,155,151,148,150,154,155,154,153,153,154,154,150,147,148,151,153,151,148,148,150,152,154,152,147,146,147,147,146,145,146,146,144,144,146,149,149,146,145,146,150,153,155,157,157,158,156,156,158,null],[129,128,128,129,127,123,120,121,125,128,129,129,131,135,136,135,135,136,135,135,134,131,129,129,133,136,134,131,131,134,136,136,134,133,136,135,129,125,125,126,127,129,134,137,137,136,136,137,137,135,134,133,135,135,135,136,133,130,128,129,131,133,135,137,136,134,132,134,136,137,138,136,134,132,133,133,132,131,129,129,127,126,130,135,137,137,136,136,136,138,138,136,136,136,136,138,139,137,136,135,133,132,132,132,132,132,133,135,137,138,139,141,141,140,141,145,145,140,136,135,136,136,135,133,133,136,138,138,137,137,138,137,136,138,142,145,145,146,147,145,143,143,142,141,144,147,147,148,148,145,141,138,135,133,132,132,134,135,138,141,143,143,140,139,139,141,142,141,141,144,146,147,147,148,148,146,145,146,148,149,149,148,148,150,152,152,151,150,149,148,146,144,146,149,149,147,148,150,150,149,149,149,148,148,150,153,154,152,149,146,144,145,147,149,149,148,146,144,143,143,144,143,144,146,148,148,149,151,150,150,150,151,153,154,155,155,154,154,154,155,157,160,159,155,153,154,156,158,159,159,160,163,164,163,162,160,158,157,159,161,162,161,159,158,159,160,159,159,160,160,160,159,159,159,156,153,153,154,155,154,153,151,151,149,147,147,149,148,145,144,147,147,146,146,144,143,144,146,149,150,148,146,146,147,149,150,150,149,149,149,152,153,151,149,149,148,145,144,142,139,138,137,136,135,135,133,132,132,134,139,143,144,142,141,142,142,144,145,144,142,143,143,144,145,147,148,147,146,148,149,149,149,149,150,152,155,157,161,164,161,156,155,156,156,156,157,158,158,158,156,153,152,155,157,155,152,150,149,150,153,152,150,149,148,146,146,147,149,148,145,141,140,142,145,147,146,147,151,155,152,145,140,140,141,143,144,145,145,146,148,150,153,155,155,151,148,146,147,150,153,152,148,145,146,150,149,146,145,148,151,153,153,152,149,147,147,150,152,154,155,153,149,148,149,153,154,154,155,156,155,153,154,157,154,151,153,155,153,150,145,144,146,152,156,154,149,150,151,151,151,152,154,154,152,149,148,149,151,153,152,151,150,151,153,152,149,147,148,149,148,146,146,146,146,145,146,147,148,147,146,145,146,149,153,155,155,154,153,153,155,158,null],[130,129,129,128,126,123,121,120,123,126,128,128,131,134,135,134,136,136,136,134,133,130,129,130,134,136,134,131,130,134,136,135,133,133,135,134,130,127,126,127,128,130,134,136,136,137,138,138,137,134,133,133,132,133,135,136,133,129,127,128,131,133,135,136,135,133,133,134,134,135,136,137,136,134,134,134,134,132,130,129,127,127,130,134,136,135,134,133,135,136,137,135,133,132,133,135,136,136,135,134,133,132,133,133,134,134,135,136,136,137,139,141,140,139,140,144,145,140,137,135,134,135,135,134,135,137,138,137,136,137,138,138,138,140,143,146,147,147,147,144,141,140,141,142,144,146,146,146,145,144,142,140,138,135,133,134,136,137,137,139,142,144,144,142,141,143,143,142,141,143,145,147,149,150,150,148,146,146,148,150,149,149,150,151,151,150,150,149,147,146,145,143,145,148,148,147,148,150,150,149,149,149,148,147,150,151,150,149,148,147,147,146,146,146,145,145,145,144,145,145,146,146,146,147,147,147,148,150,150,150,150,151,152,154,154,152,152,155,157,157,158,159,158,155,154,157,158,158,158,158,160,162,164,164,162,160,159,160,160,162,163,162,161,160,161,162,163,163,161,161,160,160,160,158,153,150,151,153,155,155,152,149,149,148,148,148,149,148,145,145,148,150,149,147,146,145,146,147,149,148,147,145,144,146,148,150,150,148,147,147,148,149,149,149,150,148,146,143,141,139,138,137,135,135,135,136,135,133,134,137,140,140,138,139,141,141,141,142,142,142,143,143,142,142,145,148,147,145,145,147,149,150,150,150,150,153,157,160,163,160,156,154,154,153,153,155,158,157,155,155,154,151,152,153,154,153,152,150,151,155,152,149,148,149,149,150,149,147,145,143,141,141,142,148,150,148,148,154,158,153,144,138,139,142,144,144,143,143,144,147,149,151,154,154,151,149,150,150,149,151,150,148,146,147,151,150,147,147,152,155,155,152,151,148,147,147,149,152,154,155,153,151,149,149,152,154,156,156,157,157,156,156,156,152,150,150,151,149,147,146,146,147,150,154,154,151,150,151,150,152,154,156,155,151,150,150,150,150,152,153,154,153,154,155,151,148,147,150,152,150,149,147,145,145,146,149,149,147,147,149,149,147,149,152,154,153,150,149,151,155,156,null],[129,128,128,127,125,123,122,121,122,124,126,128,131,134,134,133,134,135,136,136,134,129,129,132,132,132,131,131,131,132,133,133,134,134,134,133,132,131,128,126,127,130,134,135,136,137,137,137,136,134,134,133,130,131,133,133,130,127,128,130,132,134,135,134,133,133,134,135,134,133,134,135,136,134,133,133,133,132,131,129,127,130,131,132,133,132,132,133,134,134,134,133,129,128,131,132,133,133,133,132,133,133,134,136,137,137,136,135,136,138,140,140,138,136,138,140,141,140,137,135,135,135,135,135,135,136,137,138,138,138,139,140,141,142,142,144,145,146,145,142,139,140,142,143,146,146,145,144,143,143,142,142,139,136,134,135,137,136,136,138,141,144,146,145,144,144,144,144,144,143,144,146,148,148,149,150,149,149,151,152,150,150,151,151,150,148,148,148,148,147,147,145,144,145,147,149,150,151,150,148,148,149,148,148,149,149,149,149,149,149,150,149,147,145,144,144,145,146,147,148,149,150,151,150,148,147,148,149,150,150,150,150,151,151,150,149,152,157,158,159,159,158,156,154,155,157,159,159,159,159,159,161,163,163,160,158,160,161,161,160,160,161,161,161,162,164,166,163,160,158,158,159,160,157,152,149,150,152,153,152,150,148,147,148,148,148,148,149,148,149,151,151,148,146,145,146,147,147,146,144,144,145,145,147,149,149,148,147,146,145,144,143,144,146,147,145,143,140,139,139,138,136,134,135,139,141,140,135,134,136,137,137,139,141,142,141,139,139,140,141,141,139,138,138,142,146,146,144,143,146,150,151,148,146,147,150,154,158,160,157,154,153,153,152,150,153,156,155,153,153,153,151,149,149,150,151,151,149,151,153,152,149,148,150,151,150,147,143,141,141,144,145,144,150,153,152,151,155,157,153,145,139,138,141,143,142,142,144,147,147,146,148,150,154,154,153,154,151,147,146,147,149,147,146,147,149,150,151,154,157,156,151,149,147,147,148,148,149,150,151,152,153,155,153,152,154,157,158,159,160,159,157,155,151,150,149,148,146,144,145,148,149,149,153,153,152,152,154,155,157,158,157,156,154,153,152,151,150,152,154,156,157,157,155,150,148,149,153,155,153,151,148,144,144,148,153,153,148,149,155,154,149,148,149,151,150,149,148,151,153,152,null],[126,125,127,125,123,122,123,123,125,126,127,129,132,134,132,130,131,134,135,134,131,128,128,131,130,130,131,133,134,133,133,134,136,135,132,132,133,132,128,125,126,130,134,135,135,135,134,132,133,135,135,132,128,128,130,129,127,127,129,132,134,135,134,132,131,133,136,136,134,133,132,132,131,132,132,132,132,131,131,129,128,130,132,132,132,132,132,131,130,130,130,129,127,127,129,131,131,132,133,134,135,135,135,137,138,138,136,135,137,139,139,137,134,134,136,138,139,139,138,137,136,135,135,135,136,136,138,140,140,140,141,142,143,143,141,141,142,144,142,140,140,142,144,144,147,147,144,143,142,142,141,140,139,137,135,135,135,133,134,136,139,141,144,145,145,145,145,145,146,146,145,146,147,147,148,150,151,151,151,151,150,150,151,152,151,149,148,148,148,148,147,147,145,143,145,149,150,149,148,147,148,148,148,148,149,149,149,150,151,150,150,150,147,144,143,144,146,147,147,148,149,151,153,152,150,148,148,149,150,151,151,151,151,150,149,149,153,156,156,156,155,153,152,153,155,156,157,158,159,159,158,159,160,160,156,156,159,160,158,156,156,158,158,160,162,165,164,160,155,154,157,160,161,158,154,151,151,152,152,150,148,148,148,149,149,149,150,151,152,153,153,152,148,145,144,145,146,146,145,144,143,144,144,145,147,148,145,145,146,145,143,141,142,144,144,142,141,139,138,136,135,134,134,137,141,145,143,139,136,137,139,140,142,145,145,143,139,137,137,139,140,138,136,137,139,142,144,144,144,148,152,152,148,145,147,152,155,157,159,158,155,153,153,152,150,151,154,154,151,149,148,149,149,150,151,150,148,149,151,152,150,148,146,147,147,146,143,141,140,141,147,150,148,150,152,153,154,154,154,151,144,140,139,139,140,142,145,148,149,147,145,146,150,153,155,155,154,149,145,142,144,150,150,148,148,151,153,153,154,156,155,152,148,146,147,150,151,149,147,148,150,153,156,157,154,155,156,157,158,159,158,157,156,155,153,151,149,147,144,144,149,151,152,156,154,151,151,155,155,156,156,155,156,157,156,152,150,152,156,158,157,156,155,153,148,147,150,155,157,153,151,148,143,143,150,155,155,151,152,157,156,151,148,147,149,151,151,150,149,149,149,null],[126,125,125,123,122,122,124,126,128,126,126,128,131,133,131,129,129,132,133,132,129,126,126,128,131,133,134,135,136,135,134,135,136,136,132,131,132,131,127,124,125,128,132,134,134,133,131,128,131,134,132,129,127,128,128,126,126,127,129,132,134,135,133,130,129,132,135,136,134,132,131,129,127,129,131,131,131,129,129,128,128,131,131,131,132,132,130,128,126,127,128,128,127,128,130,131,131,131,132,134,136,136,135,136,137,137,136,136,138,140,138,134,133,134,136,138,139,139,139,137,135,135,135,136,137,138,140,141,141,141,141,142,143,142,140,139,140,141,139,139,141,143,144,144,146,146,144,142,142,142,140,137,138,138,135,133,133,133,135,136,137,139,140,142,143,144,146,147,147,147,146,146,146,146,148,150,151,150,150,150,149,149,150,152,152,150,150,149,148,147,146,147,145,141,144,148,148,147,146,147,147,147,148,148,149,150,151,152,152,150,148,149,149,147,144,144,145,146,147,146,145,147,150,151,151,150,149,149,150,151,152,152,152,152,152,151,152,153,153,153,152,151,151,154,155,155,155,157,159,157,156,156,156,156,156,157,159,158,155,154,155,156,158,160,162,162,161,156,153,153,158,162,161,159,157,154,152,151,150,149,148,149,151,151,150,151,153,155,154,153,152,151,148,145,145,146,145,145,144,144,143,142,142,143,144,144,143,144,146,145,143,142,142,142,141,140,139,138,136,134,133,134,136,139,142,145,145,142,139,138,142,144,144,146,148,145,141,139,138,139,140,139,137,138,138,139,142,145,146,149,151,151,148,147,149,152,154,156,160,160,157,155,154,153,151,150,151,152,150,147,146,148,152,155,153,150,147,148,151,151,149,147,144,142,142,141,142,143,143,144,148,152,152,151,150,153,154,155,154,150,146,142,140,139,140,142,147,150,149,147,146,150,152,152,152,153,154,151,147,142,143,150,152,151,152,153,154,152,152,154,155,151,147,146,149,153,154,150,146,148,150,153,155,157,157,158,157,155,155,156,155,155,156,157,156,154,152,149,145,143,146,150,154,157,156,152,152,153,154,154,153,154,156,159,157,152,151,154,159,160,156,152,151,151,148,148,151,156,157,153,150,148,143,143,148,152,154,154,156,158,157,153,151,148,148,152,154,151,148,147,149,null],[127,126,124,123,123,123,125,126,127,125,124,127,130,131,131,130,130,130,132,131,128,126,125,128,133,137,137,136,135,135,134,132,134,136,132,130,130,129,126,124,124,125,131,133,131,130,129,128,130,132,128,126,126,127,128,126,125,126,129,131,132,132,131,129,128,131,133,134,132,131,130,128,127,127,130,132,131,129,127,127,129,131,130,130,130,130,128,125,124,127,129,129,128,129,130,132,133,132,131,132,135,136,135,135,136,137,137,136,137,138,136,134,133,134,135,137,139,139,138,135,133,133,136,138,140,141,141,140,140,140,140,140,140,140,139,138,139,139,139,141,142,142,141,141,144,144,142,141,141,141,139,136,137,138,134,132,133,135,138,139,138,138,139,139,139,142,147,149,147,145,145,146,146,147,148,149,149,148,148,149,150,148,148,151,151,150,150,150,148,146,145,145,143,141,144,147,146,145,145,145,145,147,149,151,151,152,153,154,153,151,148,148,150,149,145,143,143,145,145,145,144,144,146,149,152,152,150,149,150,152,152,153,154,155,155,153,152,152,153,153,153,152,153,154,155,154,155,156,157,155,153,152,152,154,158,160,160,157,153,153,155,157,161,161,160,159,158,157,155,155,159,161,159,158,157,154,151,149,148,148,148,150,153,153,151,152,155,156,154,151,149,148,146,146,148,149,147,145,144,142,142,142,141,141,140,140,142,144,144,143,140,139,140,140,138,138,137,135,134,135,135,135,137,139,142,145,146,145,142,140,143,144,144,145,147,147,144,143,142,141,141,140,139,139,140,141,142,144,145,146,146,147,147,148,148,148,150,155,161,162,159,157,155,155,152,150,150,150,150,149,148,150,154,157,154,150,146,147,149,151,150,146,142,140,141,141,143,145,148,148,147,149,153,153,152,153,155,155,154,152,150,145,141,140,141,142,144,147,147,147,149,152,151,149,148,152,157,157,151,143,141,147,150,151,154,155,153,151,152,155,154,150,146,147,151,155,155,151,147,149,152,155,156,155,157,160,159,153,152,154,153,153,153,154,155,155,153,149,146,144,145,147,150,154,157,156,155,154,154,154,155,157,158,159,157,154,153,157,160,158,153,151,151,153,151,150,152,156,157,153,149,147,145,144,145,147,151,156,159,158,158,157,155,150,148,152,156,153,150,150,151,null],[127,124,123,123,124,125,126,127,127,126,127,129,130,130,132,132,130,129,130,130,127,127,127,129,134,137,135,135,136,136,134,132,133,134,132,129,128,127,126,124,123,124,128,130,129,130,130,128,128,129,126,124,125,125,126,125,125,126,128,131,132,131,131,128,129,132,134,134,133,131,129,128,127,126,127,129,129,127,126,126,128,129,129,128,128,128,126,125,124,125,127,129,129,129,130,133,135,134,133,133,135,136,135,136,137,138,137,135,134,134,135,135,134,135,137,137,137,137,136,134,132,132,135,137,140,141,140,139,140,139,137,136,136,138,138,138,137,138,140,143,144,141,138,138,140,141,140,140,141,141,137,134,135,136,133,131,133,137,141,141,139,138,139,139,139,142,146,148,146,143,144,145,145,146,146,146,146,147,148,149,149,149,149,149,150,149,150,149,147,145,144,142,141,141,144,146,144,143,144,144,145,148,151,153,154,154,155,154,154,154,150,147,148,148,145,143,143,145,146,146,146,146,146,148,151,153,152,152,151,151,153,154,156,157,157,156,155,155,155,155,155,153,153,154,153,152,153,156,156,153,149,147,150,155,160,161,158,154,153,154,156,159,161,160,157,157,158,158,156,155,155,156,155,155,156,154,151,149,148,148,147,150,153,153,151,151,154,156,154,151,148,146,147,148,150,150,147,144,143,142,142,142,142,140,140,140,140,141,142,140,138,138,139,138,137,138,138,135,135,138,138,136,137,139,141,144,145,146,144,143,144,143,141,142,145,147,147,146,145,143,143,141,139,140,143,145,145,144,144,144,144,143,145,147,147,147,149,153,158,160,159,158,157,155,152,151,152,152,152,152,152,152,153,155,154,150,146,146,149,150,149,145,141,141,143,144,145,145,149,150,147,147,152,154,154,155,153,150,149,149,149,146,142,142,143,143,143,144,145,146,147,148,147,145,149,155,159,157,150,145,143,145,147,149,152,153,151,153,155,155,154,152,148,147,151,154,155,153,151,150,151,154,157,156,155,159,159,154,152,154,154,152,151,150,151,152,151,148,146,146,145,145,147,151,155,157,157,156,156,156,157,159,158,156,155,155,157,158,157,154,152,153,156,156,154,151,152,156,157,151,147,146,147,147,145,145,149,154,156,156,158,160,158,152,149,152,156,155,153,152,153,null],[125,122,122,122,124,124,126,127,127,128,130,131,129,129,131,132,129,127,128,128,127,127,129,130,132,132,131,134,137,137,135,133,132,132,130,130,129,127,126,123,123,124,127,129,130,132,131,128,126,127,125,124,123,124,126,125,125,125,128,131,132,131,129,128,129,132,134,134,133,131,129,128,126,124,124,125,126,126,125,125,125,126,126,127,127,126,125,124,124,123,124,127,128,128,129,131,134,135,135,135,135,136,136,137,138,137,135,133,132,132,134,135,136,137,139,138,136,135,134,134,133,132,134,136,139,140,138,138,139,139,136,133,133,136,138,138,137,138,140,142,142,140,136,135,138,139,138,140,142,140,135,132,133,134,133,132,133,137,141,142,140,139,139,140,142,143,145,147,145,143,142,142,143,144,144,144,145,148,149,149,148,148,148,148,149,149,149,147,146,146,145,142,139,140,143,144,143,142,143,145,147,150,152,153,154,154,153,152,153,154,151,146,144,144,143,143,144,146,148,149,150,150,149,149,150,152,154,154,153,152,153,155,157,158,158,158,158,157,156,156,154,152,151,152,151,151,153,155,155,152,147,145,149,155,157,156,155,153,154,156,158,158,158,156,156,158,159,157,154,152,151,152,153,155,156,155,154,151,150,149,148,149,151,151,150,150,152,154,155,153,150,148,149,151,151,150,146,144,144,145,144,143,142,142,143,143,140,139,140,138,137,139,140,140,139,140,141,139,139,141,140,137,137,138,140,143,144,146,146,146,146,143,140,140,142,146,148,148,147,146,145,142,140,140,144,148,147,145,145,145,145,144,144,145,146,148,151,153,155,156,157,157,156,155,153,152,153,153,153,154,154,152,150,150,151,149,146,147,149,149,147,144,142,144,146,147,146,146,149,151,150,149,152,154,155,155,151,146,144,145,145,144,143,143,144,145,144,145,147,147,145,144,143,144,150,157,158,154,149,147,147,145,145,146,148,149,150,155,157,154,153,153,150,148,151,154,156,157,155,151,150,153,159,157,153,156,157,154,153,153,153,152,150,149,147,148,148,147,147,147,148,147,147,150,152,153,154,156,156,156,156,156,154,152,153,156,159,159,156,153,154,158,159,156,153,151,153,156,155,149,146,147,149,149,149,147,148,151,152,153,156,159,157,153,152,153,156,156,154,153,155,null],[124,123,121,121,123,123,125,125,126,127,129,129,128,128,129,130,128,126,127,127,126,127,128,128,129,128,130,133,136,136,135,133,131,130,129,130,130,129,126,124,124,125,126,129,132,132,130,127,126,125,124,123,124,127,130,128,126,126,128,130,130,129,127,127,129,131,132,132,130,129,128,127,126,124,124,124,125,125,124,124,123,123,125,127,127,125,124,124,124,124,124,126,127,127,127,128,130,133,134,134,135,137,138,138,137,136,134,132,132,133,134,136,138,139,140,138,135,133,133,133,132,131,133,137,139,139,137,136,138,138,136,133,132,134,136,136,136,137,137,138,138,138,137,136,136,137,138,140,141,140,135,131,131,132,133,133,132,135,139,142,142,140,140,141,142,144,146,146,144,142,140,141,141,143,145,145,147,148,149,149,148,147,146,148,150,151,149,147,148,149,147,142,138,138,141,142,142,143,145,147,149,151,152,152,151,150,148,147,149,151,149,145,143,143,144,144,144,145,147,149,150,150,150,150,150,151,153,155,155,154,153,154,155,156,157,157,155,152,152,153,153,150,149,150,152,153,154,154,152,149,146,145,148,151,152,152,153,155,157,158,158,157,155,155,157,158,158,156,152,150,151,153,155,156,158,159,158,156,153,150,149,150,150,149,149,151,152,152,153,154,153,151,151,152,151,148,145,144,146,147,145,143,142,143,145,145,142,140,139,137,137,139,142,143,143,144,145,143,141,141,140,138,137,138,140,141,143,146,147,147,147,146,144,141,141,144,148,150,150,149,147,145,143,141,143,147,147,146,147,148,149,149,148,147,148,151,155,157,156,155,154,154,154,154,154,153,153,152,151,152,151,149,147,146,147,148,148,147,146,146,145,144,145,148,149,147,146,148,151,153,152,152,153,153,154,154,152,147,144,143,142,141,141,142,143,144,146,148,150,150,149,148,147,145,150,155,155,153,151,151,150,145,145,146,144,145,148,152,153,152,152,151,149,149,153,156,157,158,157,154,154,155,157,155,152,153,154,153,152,152,150,150,152,151,150,148,147,147,149,150,151,150,150,149,147,147,149,152,154,154,153,152,151,151,153,156,159,159,158,157,157,159,158,153,151,153,155,156,152,147,146,150,151,152,153,150,147,148,149,150,152,153,152,153,155,156,156,155,153,154,157,null],[125,123,122,120,121,122,123,125,126,127,126,128,129,126,126,126,125,125,126,126,126,127,127,126,128,129,131,134,135,134,132,130,130,131,129,129,131,130,127,125,125,126,126,128,130,129,128,127,126,125,123,124,128,133,134,130,126,125,125,127,126,126,126,126,127,127,129,129,128,126,126,126,126,126,125,124,125,125,124,124,124,123,126,129,129,127,124,122,123,124,126,127,128,128,128,128,129,131,132,133,135,136,137,137,136,136,134,132,132,134,135,137,140,140,138,135,133,133,133,132,131,131,134,137,138,137,135,133,134,135,135,135,135,134,134,134,135,135,135,134,134,135,136,136,137,137,138,139,138,137,134,131,131,132,133,133,133,135,139,141,141,140,141,141,142,145,147,146,144,142,141,140,141,144,146,147,147,148,149,150,150,147,145,147,150,151,150,149,150,149,146,142,139,138,140,142,145,146,147,148,149,151,151,150,148,146,145,145,145,147,146,144,144,144,144,144,143,144,146,147,147,147,149,150,151,152,153,156,157,156,153,152,151,153,154,154,151,147,148,151,152,150,149,151,153,153,153,152,150,148,147,147,148,148,150,153,156,158,159,159,158,156,154,154,156,156,156,155,152,150,151,154,155,157,159,161,161,159,154,151,150,151,151,149,149,151,151,150,151,152,153,152,151,152,152,149,146,145,147,147,145,142,142,145,146,144,142,140,139,138,138,140,144,147,147,147,146,143,142,142,141,138,136,136,139,140,142,145,146,146,147,148,149,146,143,144,148,150,151,151,149,147,145,143,142,144,145,146,148,150,152,154,152,149,149,153,158,160,158,154,151,151,151,151,152,150,149,149,149,149,149,148,147,146,146,150,152,149,146,145,144,145,149,150,149,146,145,148,150,152,152,152,152,152,152,151,149,147,146,144,142,140,141,142,143,144,147,149,149,149,151,153,152,150,150,152,153,155,155,152,148,147,147,147,144,144,147,148,147,150,152,151,150,150,154,156,155,157,158,158,158,157,155,153,154,153,152,152,153,152,149,149,153,156,155,152,148,147,149,152,154,153,152,149,145,144,146,149,151,153,154,153,151,151,152,154,156,159,161,161,160,160,157,154,154,155,155,154,150,145,147,152,152,152,155,154,151,149,148,149,150,151,153,155,157,159,158,156,154,154,157,null],[125,123,123,121,120,121,124,127,128,128,127,128,128,125,123,124,124,125,126,127,127,127,126,127,130,133,133,132,132,130,128,127,130,132,129,128,130,130,128,126,126,126,125,125,125,126,126,126,125,124,125,128,132,136,137,133,128,124,124,124,124,125,126,126,126,126,127,127,126,124,123,125,127,129,127,126,128,127,125,127,128,128,129,132,133,130,124,121,122,125,127,129,130,130,130,130,130,131,132,133,134,135,136,136,135,136,135,132,131,134,136,138,139,137,135,133,132,132,133,133,133,133,135,137,138,136,133,131,131,132,134,137,138,135,133,132,133,135,135,133,133,133,135,136,138,139,138,137,135,133,131,130,132,133,132,132,134,137,140,141,140,140,141,141,142,145,146,145,145,144,142,140,142,145,147,145,145,147,149,150,150,147,145,147,148,148,150,151,150,145,142,142,142,142,142,145,148,149,147,147,149,151,150,148,147,147,146,145,144,144,144,144,145,144,143,143,143,144,145,145,145,146,147,149,151,153,154,155,156,155,154,151,149,149,151,151,148,146,149,151,150,150,150,152,153,151,150,149,148,149,150,149,148,150,154,159,160,159,158,157,157,156,155,154,154,154,155,154,152,150,151,152,153,155,158,160,161,159,154,151,150,151,151,149,148,149,148,147,149,150,150,150,150,151,151,150,148,146,145,145,144,143,144,146,146,143,141,140,140,140,140,141,145,149,149,148,146,143,143,145,143,137,134,135,138,139,140,143,143,143,145,149,151,150,147,147,148,150,152,152,150,147,146,144,143,143,145,146,148,150,152,155,154,150,149,153,158,160,158,154,151,151,150,149,148,147,145,147,150,150,149,148,149,149,148,151,153,152,148,145,144,146,150,151,148,146,145,145,147,149,150,150,152,152,150,147,144,145,145,144,142,141,141,141,143,145,146,146,146,146,148,151,154,154,151,151,154,157,155,149,147,150,151,149,146,146,147,145,144,149,153,153,150,149,153,153,153,156,159,160,160,157,153,154,156,155,153,153,155,155,151,150,155,159,158,155,149,146,148,153,155,154,151,149,147,145,146,149,150,153,157,157,154,151,151,153,155,159,163,163,161,159,158,158,158,157,154,151,149,146,147,151,152,153,156,159,157,152,147,148,151,155,158,158,157,158,159,159,156,155,156,null],[124,123,124,122,121,123,126,129,128,127,127,127,126,124,125,126,126,125,125,128,129,128,126,128,131,132,131,129,128,127,128,128,131,132,131,130,130,129,127,125,125,125,124,123,123,124,125,125,123,123,127,130,133,136,137,135,130,126,126,127,125,125,125,126,127,127,127,126,125,124,124,126,129,131,130,130,131,131,129,131,133,132,132,134,135,131,124,121,122,124,126,129,131,131,131,131,131,132,133,135,134,134,134,134,134,137,137,132,130,133,136,136,133,133,134,133,132,132,133,134,135,135,135,136,137,136,134,132,132,133,135,136,136,134,133,132,132,134,135,135,135,135,136,137,137,137,135,134,133,132,130,130,132,133,131,131,134,139,142,143,141,140,142,143,145,146,145,143,144,144,141,140,143,145,145,144,144,146,148,149,148,146,144,146,145,145,148,151,149,144,141,142,146,147,146,147,149,148,146,147,151,152,149,146,146,148,148,145,143,145,145,145,144,143,142,142,144,145,146,146,146,146,146,148,149,151,152,152,152,153,153,152,149,148,148,148,147,147,151,151,148,148,150,151,150,147,147,148,148,151,153,152,152,154,159,162,161,156,154,154,156,155,153,151,153,155,156,154,151,150,150,151,151,153,156,158,160,158,154,150,150,151,151,149,148,147,146,145,147,150,150,148,147,148,148,148,148,145,143,143,144,145,145,144,144,144,143,143,142,140,139,141,144,147,147,147,146,144,145,146,142,137,136,137,138,139,139,140,140,140,142,146,148,151,151,150,149,151,151,151,149,148,147,145,145,146,147,148,149,150,152,154,154,151,150,153,156,158,156,154,152,153,153,150,148,148,148,150,152,152,152,151,152,152,151,151,151,151,149,144,143,146,150,150,147,147,147,146,146,148,151,152,153,153,150,148,146,145,144,143,142,141,139,140,142,145,145,146,146,144,144,147,151,154,154,154,157,157,153,149,149,152,151,148,150,150,148,145,146,150,153,153,149,148,153,154,153,156,159,161,161,158,154,154,157,157,155,154,157,158,154,153,156,157,157,154,150,146,147,150,153,153,152,150,147,146,148,150,150,151,154,156,156,155,154,155,156,161,164,163,161,159,158,157,157,155,153,151,149,148,147,149,150,154,159,163,160,152,146,147,151,155,157,155,153,154,158,159,158,157,158,null],[122,122,123,123,123,126,128,128,127,126,127,125,123,123,125,127,127,124,124,126,129,128,127,127,129,130,130,128,127,126,128,130,130,130,132,131,129,127,125,123,124,124,124,123,123,125,125,124,123,124,129,132,133,135,137,136,132,130,132,132,131,129,127,127,129,130,129,127,126,126,127,129,131,132,132,132,132,132,132,133,134,133,133,135,135,131,124,122,124,124,124,127,129,130,129,128,130,132,134,134,134,133,132,132,133,136,135,130,128,131,134,132,129,131,134,133,131,131,131,134,135,135,134,134,135,134,134,134,134,134,135,134,133,133,133,133,133,134,135,137,137,137,137,137,136,134,132,131,132,132,131,132,134,135,132,130,134,138,142,143,143,142,143,145,147,147,145,142,142,142,140,141,144,144,142,143,144,146,147,147,145,143,144,145,143,143,146,149,149,145,141,142,146,148,148,146,146,144,143,146,151,150,146,143,145,147,146,143,142,145,145,143,141,140,140,141,143,143,144,146,146,145,145,146,147,148,149,149,149,150,151,151,148,146,145,146,146,147,150,149,146,146,147,149,147,146,147,148,150,153,154,154,155,157,161,162,159,153,150,152,155,154,150,150,153,156,155,151,149,149,152,154,154,154,156,158,160,159,155,151,151,152,151,149,147,147,145,144,147,151,151,149,147,146,147,147,147,145,144,144,145,147,145,143,143,144,145,145,143,140,139,140,143,145,146,147,147,146,145,144,140,137,140,142,142,140,140,141,140,139,141,144,146,150,153,151,151,151,150,150,150,151,149,146,145,147,149,149,149,149,151,153,154,153,154,155,156,157,156,155,154,156,156,154,153,153,153,154,154,153,153,153,153,152,152,150,147,147,146,144,144,147,150,150,149,149,149,147,148,149,152,153,153,154,153,152,149,145,143,143,143,141,138,140,142,143,144,146,149,148,145,145,148,151,153,155,157,155,151,150,152,152,151,150,154,153,148,146,148,150,152,151,148,149,153,155,155,156,159,161,162,159,155,154,156,158,157,157,158,159,156,156,157,156,154,152,150,148,147,148,150,153,154,151,147,146,148,152,153,152,151,153,154,155,155,156,157,160,162,161,160,160,157,154,153,152,152,151,150,148,146,147,150,156,162,163,159,151,146,147,151,154,154,152,151,151,154,157,158,159,160,null],[123,121,122,124,127,129,128,127,125,125,126,125,123,121,123,124,124,123,122,123,126,127,128,126,127,129,131,131,129,127,126,128,129,131,131,130,128,127,125,123,123,123,124,125,125,125,124,124,125,128,130,132,133,136,137,135,133,133,135,137,136,134,131,130,131,132,130,128,128,129,130,130,131,131,131,131,129,129,131,132,131,130,130,132,133,130,125,124,126,125,124,125,126,126,126,125,127,128,130,131,131,130,129,129,131,132,130,127,125,127,129,131,130,131,133,132,130,129,130,131,133,134,133,132,131,131,132,134,134,134,133,132,132,133,134,133,132,133,135,136,135,135,135,135,134,132,130,130,131,132,134,136,138,139,136,133,134,137,141,142,143,144,145,146,146,147,145,142,140,141,140,142,144,143,141,143,144,146,146,144,142,143,146,146,144,143,143,146,148,144,140,141,145,146,146,144,142,140,140,143,144,142,141,141,142,143,143,141,141,143,143,140,139,138,139,141,141,141,141,143,144,143,143,145,147,147,146,147,148,149,149,148,146,144,144,145,146,146,146,147,147,146,146,148,148,149,149,150,152,154,155,155,156,158,161,161,158,152,150,152,155,154,151,151,154,156,153,149,148,151,154,155,157,158,159,160,160,160,157,154,154,154,153,150,149,147,146,146,148,151,151,149,148,148,149,149,148,147,146,147,148,147,145,143,143,144,145,144,143,141,140,141,143,146,147,147,146,145,143,140,137,138,142,145,146,144,143,144,142,140,142,145,147,149,150,150,149,149,147,148,153,153,150,146,146,147,147,147,148,149,150,152,155,157,158,158,158,159,159,157,156,158,159,158,156,155,155,155,153,151,151,151,148,148,151,150,146,143,143,145,148,150,150,151,152,151,149,146,147,150,151,151,152,154,156,153,148,143,142,144,144,142,140,141,142,141,142,146,150,152,151,148,147,147,150,153,155,154,153,152,152,152,154,155,155,152,147,146,147,149,150,150,150,151,152,156,157,156,158,162,162,159,156,154,156,157,158,159,159,158,157,158,159,157,153,151,150,150,150,150,150,153,155,154,149,146,148,153,156,156,154,153,152,151,152,154,155,157,158,159,160,160,157,153,152,151,151,152,151,148,146,146,150,156,162,162,157,150,147,149,152,154,155,154,152,151,152,156,158,159,159,null],[122,122,122,124,127,129,128,127,126,126,126,126,125,122,120,120,120,120,122,123,125,128,128,127,127,128,130,132,131,127,125,126,129,130,130,129,129,128,126,124,123,123,123,124,124,124,123,122,125,128,129,129,132,134,134,133,133,134,135,136,136,136,135,133,132,131,130,130,131,132,131,129,130,131,130,129,128,129,130,131,130,129,129,129,129,128,128,127,126,126,126,124,123,124,125,125,125,125,126,127,127,128,127,127,128,128,126,123,121,123,126,130,131,131,130,129,130,131,132,131,131,132,133,131,130,130,132,133,133,131,130,130,131,133,132,130,131,132,134,134,133,132,132,133,132,131,129,129,131,133,135,138,141,142,141,138,136,138,140,141,143,145,147,146,144,143,143,142,141,140,140,141,143,142,142,144,145,145,145,143,142,143,146,147,146,142,140,143,147,143,138,140,144,146,145,143,141,139,139,138,137,136,137,138,138,139,140,141,141,140,140,139,138,138,140,142,142,142,142,143,144,143,143,144,145,146,145,145,147,148,147,146,144,144,145,146,147,146,147,148,150,150,149,149,150,151,151,152,153,154,154,154,155,156,158,159,156,152,150,152,153,152,151,152,154,153,151,150,150,153,154,155,157,159,160,161,161,159,158,158,158,157,154,152,151,149,147,147,148,149,150,149,148,149,150,151,150,149,149,150,150,147,146,146,146,144,143,142,141,142,143,143,144,147,147,145,142,142,140,137,136,138,142,146,147,146,146,146,144,141,142,145,147,146,146,146,146,146,145,146,151,152,150,148,148,147,145,145,148,150,151,153,156,159,161,161,159,158,158,157,157,158,158,156,154,152,152,151,150,148,148,146,143,143,147,149,146,142,141,145,149,151,152,153,155,153,150,146,148,150,149,148,152,156,158,153,148,145,145,147,146,144,142,142,142,142,142,144,148,151,152,152,150,148,150,153,153,153,155,155,153,153,154,156,153,149,147,147,149,149,149,149,152,154,154,157,159,156,156,161,161,158,157,157,157,157,157,157,157,155,155,156,157,156,153,150,150,152,153,152,151,152,155,155,151,148,148,152,155,156,155,155,154,152,151,152,154,155,157,160,162,160,158,155,152,152,153,154,153,149,146,146,148,154,160,161,156,150,147,150,154,157,159,158,155,154,154,156,156,156,156,null],[121,122,123,125,126,126,127,127,126,125,126,127,127,123,120,118,118,120,123,125,126,127,128,128,128,128,128,129,130,128,125,126,128,129,128,128,129,127,125,124,124,123,122,122,121,122,122,122,123,126,126,126,128,129,130,131,132,133,132,132,135,136,136,134,132,130,130,131,133,134,131,129,129,131,130,128,130,131,132,132,132,131,130,129,127,128,130,128,125,126,127,125,124,125,127,128,127,125,125,125,126,127,126,126,126,126,125,123,120,121,125,129,129,129,128,129,131,134,135,132,129,130,131,131,130,132,134,134,132,129,128,128,130,131,129,127,130,131,131,131,131,130,131,131,131,130,130,131,132,135,137,138,140,143,145,142,139,140,142,142,143,145,147,146,143,140,140,142,143,141,139,139,141,143,145,145,144,143,143,144,143,143,145,147,145,140,138,141,145,141,137,139,144,146,145,142,140,139,138,136,135,136,138,138,138,138,141,143,142,140,139,140,140,140,141,143,145,144,145,146,146,145,143,143,144,144,143,143,144,145,145,144,144,145,147,148,148,148,150,152,152,153,152,151,152,152,151,152,154,154,153,153,153,153,154,154,152,150,150,152,151,150,151,152,152,151,151,153,153,153,154,155,155,155,157,160,160,157,158,161,162,159,155,154,153,149,147,146,146,147,148,148,148,149,150,150,150,149,149,150,150,147,147,148,146,143,141,139,140,143,145,144,146,148,147,144,141,140,139,137,136,138,140,143,145,145,146,146,145,142,142,143,144,144,143,143,144,144,144,145,148,149,150,150,151,151,148,147,149,151,151,154,158,160,162,162,159,156,155,155,157,157,155,152,149,148,149,147,146,146,145,144,142,141,144,147,147,143,141,144,148,150,151,154,156,155,152,150,151,152,150,151,155,157,156,151,149,149,150,150,149,146,144,143,143,143,142,142,145,147,150,152,153,151,153,156,155,154,156,157,156,155,154,153,151,149,148,149,150,151,150,149,151,153,154,157,159,155,155,159,160,159,158,160,160,158,156,155,153,152,152,152,153,153,152,149,149,151,154,155,154,153,155,156,154,150,147,148,150,153,154,156,157,157,155,153,153,155,158,162,163,161,159,156,153,153,156,158,156,152,148,145,146,151,157,160,158,153,149,149,154,158,160,158,156,157,158,157,155,154,155,null],[120,121,123,125,126,124,125,125,124,124,125,126,125,123,121,120,120,122,125,127,127,127,127,127,127,127,126,128,129,128,126,124,125,126,126,126,126,125,124,123,123,123,122,121,121,122,125,125,124,123,123,124,125,126,127,130,131,131,130,131,135,137,136,135,134,131,130,132,134,135,133,131,130,132,130,129,132,133,132,132,134,134,134,132,130,130,131,128,124,125,126,127,128,129,130,131,130,128,127,127,127,127,127,127,127,126,126,126,124,124,126,127,126,126,128,129,130,133,133,131,128,126,127,128,130,133,134,132,130,129,129,129,129,129,128,128,129,129,128,127,127,129,130,129,129,130,133,135,136,138,139,138,140,143,145,144,142,143,145,144,143,144,146,146,143,139,140,143,143,141,139,140,143,146,146,145,143,141,142,144,145,145,145,144,141,138,139,142,142,140,138,140,143,143,141,139,138,138,138,137,138,141,143,143,142,141,142,144,144,142,142,143,144,143,142,143,145,144,144,146,147,147,145,144,144,143,142,141,141,142,143,144,144,145,146,147,147,149,152,152,152,154,155,154,153,152,152,152,153,153,153,154,152,150,149,148,149,150,151,152,151,151,153,154,153,152,153,154,155,155,156,156,153,152,154,157,158,157,159,162,163,161,158,156,153,150,146,144,145,146,146,147,148,150,150,149,147,146,147,148,147,145,147,148,145,140,139,139,140,143,146,147,148,148,146,146,144,142,141,139,137,137,139,141,143,145,146,147,145,143,142,143,142,143,144,144,144,144,143,143,147,150,152,151,153,154,152,148,148,150,152,156,160,163,162,159,158,155,153,153,156,156,153,150,150,151,149,147,146,146,146,146,146,144,144,145,146,143,141,143,145,147,148,152,155,155,153,154,155,154,154,155,157,155,151,149,149,151,150,150,151,148,145,144,146,146,143,141,143,145,147,150,152,152,155,157,157,156,155,157,159,158,155,153,152,151,150,148,148,151,152,150,148,149,152,155,155,153,155,160,161,161,161,162,162,161,158,154,153,154,153,151,150,152,153,151,149,149,154,159,159,158,158,158,156,152,146,145,148,152,153,153,156,160,159,156,154,155,157,161,163,160,157,155,153,154,157,158,156,152,147,146,147,150,156,159,160,157,152,148,150,153,155,154,154,156,159,159,158,157,157,null],[119,120,123,125,125,124,123,122,122,123,123,123,123,122,122,122,123,124,125,126,127,128,128,128,126,125,125,128,129,128,126,124,123,123,123,123,122,121,121,122,122,122,123,124,124,125,127,128,126,124,124,125,126,126,126,128,129,129,129,131,135,136,137,136,135,133,132,133,134,134,133,133,132,133,131,130,132,134,133,134,135,136,137,137,135,133,131,129,127,126,127,128,130,132,132,132,132,131,130,129,128,128,129,130,130,129,129,130,130,128,128,127,124,125,128,129,128,129,129,129,127,125,125,127,130,131,130,130,130,130,131,130,129,129,128,128,129,129,127,125,125,127,129,129,130,133,136,137,137,139,139,138,140,143,144,144,144,146,146,144,142,143,145,146,143,140,140,143,142,140,138,141,146,147,145,142,141,142,144,146,148,148,145,141,138,138,140,141,140,140,141,142,141,139,137,137,137,138,139,139,141,144,146,146,146,145,145,146,146,145,145,145,145,144,143,144,145,143,143,145,147,148,147,146,146,144,141,139,140,141,144,145,145,145,145,145,146,149,151,152,152,153,155,155,154,154,153,151,151,152,153,153,151,148,146,148,152,155,154,153,152,153,154,155,155,154,153,152,153,156,157,154,150,150,152,155,157,159,160,161,163,162,160,155,152,149,146,144,146,148,148,147,149,151,149,146,144,145,146,146,143,142,144,144,142,139,139,140,141,143,147,149,150,148,146,146,145,143,141,139,137,137,139,142,145,146,147,147,146,144,144,143,142,144,147,146,145,145,143,143,148,153,154,152,152,155,154,151,148,149,151,156,161,163,161,157,155,155,153,153,154,154,153,152,155,155,150,146,146,148,149,149,149,147,145,145,146,143,142,143,144,145,146,150,153,154,154,155,155,155,156,157,156,154,151,148,148,149,147,148,150,148,145,145,147,148,144,142,144,146,148,148,150,154,155,155,157,156,154,155,157,160,157,152,154,154,152,147,146,150,152,151,148,147,148,150,151,152,155,159,161,162,164,164,163,162,160,156,156,157,156,153,151,153,155,152,149,148,154,158,159,159,160,159,157,152,146,146,149,153,153,151,153,160,162,159,158,158,159,161,161,158,155,154,154,156,157,157,153,148,147,148,150,152,154,158,160,158,153,148,147,150,151,151,151,152,156,158,159,159,159,null],[119,120,123,124,124,123,121,120,122,123,122,121,121,122,123,123,123,123,124,125,127,129,130,129,126,125,126,128,129,129,127,124,121,120,120,120,119,118,118,119,121,122,124,126,129,129,128,129,130,130,128,128,129,128,126,126,126,128,129,131,133,135,137,137,135,134,134,134,132,132,133,133,133,134,132,130,131,133,135,136,137,138,138,139,137,135,133,134,133,129,127,129,132,134,133,132,132,132,132,130,128,129,132,133,132,131,132,133,132,130,130,129,125,126,128,129,128,127,127,127,127,127,127,129,129,127,127,128,130,131,131,131,131,131,130,129,130,130,129,126,124,127,128,129,132,135,136,136,135,137,138,138,140,143,145,145,145,147,146,143,142,143,144,145,143,140,140,142,141,139,138,140,145,145,142,140,141,144,146,147,148,147,144,139,137,139,140,140,139,141,143,142,139,137,135,136,139,140,141,140,140,143,144,145,147,148,147,147,148,148,147,146,145,144,144,146,146,144,144,146,147,148,149,150,148,145,142,141,141,142,144,145,146,146,146,147,147,148,151,152,153,153,153,153,154,154,153,150,149,150,150,150,148,147,148,153,160,161,158,155,154,154,153,154,155,155,152,149,152,155,154,150,148,149,152,155,157,160,160,160,162,163,159,153,150,150,147,146,149,151,150,148,149,149,147,143,143,145,145,143,141,140,140,140,140,140,140,142,143,145,147,150,150,148,145,143,142,140,138,138,137,138,141,145,148,147,147,148,148,147,146,145,144,145,148,149,148,146,143,145,150,153,153,151,151,152,154,153,151,150,152,156,160,161,158,156,155,156,156,154,152,152,154,155,158,155,148,145,147,149,150,150,150,148,146,147,147,145,143,145,147,147,147,148,152,155,156,155,154,155,155,155,154,154,152,148,147,146,147,147,148,146,145,146,147,147,145,143,145,147,149,148,150,156,155,152,154,155,154,153,154,159,157,153,153,154,152,149,148,148,149,150,151,150,149,149,151,152,154,157,158,160,164,164,162,159,158,158,158,158,157,156,155,157,156,152,148,149,153,155,155,156,158,159,157,152,148,149,151,154,153,151,152,159,162,162,162,163,163,162,159,156,155,156,156,158,158,156,151,146,147,151,152,152,153,157,159,156,151,148,149,151,152,151,150,150,152,154,156,157,158,null],[119,121,122,123,122,120,120,121,122,122,121,121,122,122,123,124,124,124,124,125,127,129,131,130,127,125,125,127,127,128,127,124,121,120,120,120,118,116,116,118,121,123,125,128,132,131,130,132,134,135,133,132,133,130,126,126,126,127,129,131,131,132,135,135,135,135,136,135,134,133,134,133,133,133,132,130,130,132,134,137,138,137,138,139,138,135,135,137,136,129,127,131,134,134,134,133,134,135,134,130,127,129,134,137,135,133,132,132,131,129,132,133,131,130,130,129,129,129,127,127,128,129,129,129,127,123,123,126,129,129,129,131,134,134,132,131,132,133,132,128,127,129,128,128,132,135,135,134,135,136,136,137,141,144,145,145,146,147,146,143,142,143,143,143,142,140,141,142,141,139,139,140,142,141,139,140,143,145,145,144,144,145,143,139,137,138,139,140,141,142,142,139,137,136,137,138,141,144,144,143,142,142,143,144,147,149,149,149,149,149,149,147,144,144,145,146,146,145,145,145,147,148,151,151,150,146,144,144,143,143,144,145,146,146,148,150,150,150,151,152,152,152,151,151,152,152,151,149,147,147,147,146,146,148,151,157,161,159,155,153,153,154,153,153,154,154,151,149,151,154,152,149,149,151,153,156,158,159,159,160,163,162,158,153,151,150,149,148,149,151,150,148,146,146,144,142,143,143,141,140,140,141,140,140,141,142,142,143,145,147,148,148,148,147,145,142,140,138,138,138,138,138,140,143,146,146,145,148,150,150,148,147,147,147,148,149,149,147,145,145,148,149,149,148,149,150,153,154,152,151,152,157,159,158,157,158,158,159,159,155,151,152,155,155,155,151,147,145,147,150,151,151,149,148,147,149,150,146,144,146,149,150,149,150,154,158,159,157,156,156,154,152,150,150,150,146,146,149,150,148,145,144,146,148,148,145,142,142,144,147,148,147,150,155,154,152,152,154,154,152,152,157,158,155,154,154,154,153,152,149,147,149,152,154,154,155,155,152,152,157,158,158,162,162,160,156,156,159,160,158,156,156,156,157,155,150,149,150,152,154,155,156,157,158,155,150,150,152,154,155,154,152,152,157,159,160,162,165,165,162,158,157,157,158,157,157,156,153,149,147,149,153,152,151,153,158,160,156,151,150,151,153,154,153,152,151,150,151,152,153,154,null],[119,121,122,121,120,120,120,120,121,121,121,122,121,121,122,123,123,124,125,125,126,128,130,130,127,125,124,125,127,127,126,123,122,122,121,121,121,118,117,119,123,126,127,130,133,134,134,135,135,135,134,135,134,130,127,127,129,129,130,132,132,132,132,132,134,136,137,136,136,136,135,134,133,132,132,131,131,131,132,134,136,135,136,138,137,136,136,138,135,128,126,131,134,134,133,133,135,137,137,133,129,129,134,138,137,134,132,132,130,129,133,137,136,134,131,129,131,133,130,128,129,131,131,128,124,121,121,124,127,128,128,132,135,136,135,135,136,136,134,132,131,131,128,127,131,134,134,135,136,136,136,138,141,144,144,144,145,146,146,144,143,142,142,141,140,140,141,142,140,138,139,141,140,139,139,142,143,143,142,141,142,143,142,139,137,137,139,142,142,141,138,137,137,139,140,142,144,146,147,148,146,143,142,145,147,148,149,149,149,149,150,149,146,145,145,146,146,146,146,146,147,149,150,151,150,147,146,147,146,144,142,143,145,146,149,152,152,152,152,151,150,149,149,150,149,149,149,148,146,145,145,145,146,149,152,155,156,152,149,150,151,152,152,152,152,152,151,151,151,152,151,152,154,155,156,158,158,157,157,159,160,159,157,155,153,152,150,148,148,148,147,146,145,144,143,143,144,142,139,139,141,144,144,144,145,145,144,143,146,149,150,147,145,146,145,143,140,139,139,141,140,138,138,140,143,144,144,147,149,150,149,149,149,148,148,149,151,150,147,145,145,146,146,147,148,149,151,153,152,152,154,159,160,157,158,161,160,160,159,154,151,153,154,153,151,148,146,147,149,152,153,153,151,149,150,151,150,146,143,145,150,153,151,152,155,158,160,160,159,156,153,149,147,147,146,145,148,152,153,148,144,144,148,152,149,142,141,142,143,145,147,148,150,153,152,152,154,155,153,151,151,157,158,156,154,154,156,158,156,151,148,149,152,155,158,161,160,154,152,157,159,159,159,159,157,154,155,158,161,159,155,153,154,154,153,151,151,152,153,155,158,159,156,155,152,149,151,154,155,156,156,154,154,154,155,157,159,162,164,160,158,159,159,158,156,154,153,150,148,149,151,154,153,151,152,156,160,159,155,153,154,154,154,155,155,153,151,150,150,150,150,null],[119,120,122,121,120,121,120,119,119,120,122,121,120,120,120,121,122,123,125,125,125,126,127,127,126,124,124,125,127,127,125,122,122,123,123,123,123,123,123,123,127,130,131,132,134,137,139,136,133,131,132,133,130,128,127,129,131,132,132,133,133,133,132,132,133,135,136,137,137,136,135,135,135,134,132,131,131,131,130,130,131,132,134,136,136,136,137,138,136,130,127,130,133,134,133,133,134,136,137,136,133,130,132,136,139,136,134,133,131,130,132,136,138,137,132,129,131,135,132,129,130,132,133,129,123,121,123,127,130,130,129,130,134,136,137,137,138,138,136,135,133,130,128,129,132,135,135,136,138,139,139,139,141,143,144,143,143,143,144,145,143,142,142,141,139,138,138,139,136,135,139,141,139,139,139,140,141,141,142,143,144,143,140,138,136,137,141,144,142,139,136,136,139,142,145,146,146,147,148,149,147,143,143,145,145,146,148,148,147,147,150,152,149,147,146,146,147,149,148,148,149,150,149,149,149,149,149,150,149,145,140,140,143,146,148,150,150,150,150,149,147,146,147,149,148,146,147,147,147,147,147,146,146,148,149,150,150,147,145,147,150,150,150,150,150,151,151,150,149,150,153,157,158,158,158,158,157,155,155,155,155,156,158,157,156,154,152,150,148,147,146,145,145,146,145,144,146,146,142,140,142,146,148,147,147,147,146,146,147,151,151,147,145,144,143,142,142,141,142,142,140,137,137,139,143,145,144,145,146,148,148,149,150,150,149,151,154,155,151,146,144,146,148,150,150,150,151,151,152,154,157,161,162,159,159,160,158,156,154,152,151,151,153,152,148,146,146,150,153,155,155,155,153,152,152,151,148,144,142,145,149,152,152,151,153,155,158,160,159,154,150,148,147,148,149,149,150,151,150,147,144,146,151,153,150,144,142,143,142,143,147,151,152,151,149,150,155,156,151,149,151,156,157,155,153,153,155,158,158,152,150,152,153,154,157,160,160,157,156,158,160,162,161,158,155,152,153,156,160,160,155,150,152,152,153,154,155,154,153,156,160,159,154,153,151,150,152,154,155,156,158,159,157,154,156,158,160,160,159,158,158,159,157,154,153,152,151,149,148,151,153,155,157,155,152,153,157,159,159,157,156,155,154,155,156,154,152,152,151,151,152,null],[120,121,121,120,121,123,121,119,120,122,123,121,120,119,119,120,120,122,124,123,123,125,125,124,124,123,123,124,125,125,123,121,122,123,123,123,125,127,128,129,131,133,134,134,137,140,141,135,130,128,131,131,127,125,126,128,131,134,134,134,134,135,134,133,132,134,135,137,137,135,134,136,137,136,133,131,132,132,131,128,127,131,134,136,136,136,137,138,138,134,130,130,133,135,135,133,132,133,135,138,138,135,132,133,137,138,136,135,132,131,132,134,137,137,133,128,130,135,134,130,129,133,135,130,126,125,128,131,133,133,131,129,132,136,137,136,136,137,138,136,132,130,130,132,135,136,136,137,140,140,139,139,141,143,145,144,142,140,141,144,143,141,141,140,138,135,135,136,136,135,138,140,140,139,138,137,138,140,143,147,148,144,140,138,138,139,142,143,140,137,136,137,140,143,145,146,147,148,149,149,146,144,145,147,145,145,148,148,146,146,151,155,153,150,148,147,149,150,149,148,149,149,148,149,150,150,150,150,149,145,140,140,143,146,148,148,147,146,147,146,144,143,144,147,147,146,147,148,149,151,151,149,148,149,149,147,146,145,145,147,150,151,150,149,149,151,152,151,149,149,154,158,158,157,157,157,156,155,155,155,154,155,157,158,157,155,154,152,150,147,146,145,146,147,147,147,149,148,145,142,144,146,148,148,147,148,148,148,149,151,152,151,148,145,144,145,146,146,146,144,141,137,137,140,144,146,146,145,145,147,148,149,150,149,148,150,153,155,153,150,148,148,150,154,154,153,152,151,152,153,156,160,162,161,160,158,155,153,151,151,151,150,151,150,147,145,148,151,155,157,156,154,152,152,152,150,145,142,142,146,148,149,151,153,153,153,156,159,159,155,151,149,149,152,154,153,151,149,146,145,146,149,153,155,152,149,147,145,141,141,146,150,151,147,145,148,153,153,148,149,153,156,156,155,153,152,153,156,157,153,153,155,154,154,156,157,158,160,160,159,161,163,163,161,159,154,152,154,157,157,154,151,152,153,155,158,157,155,153,156,160,159,155,154,151,150,152,155,156,157,159,160,159,157,159,162,162,158,156,158,159,158,155,153,153,153,151,150,150,153,155,157,160,159,155,153,156,159,160,159,158,156,155,155,156,154,154,154,152,151,152,null],[121,121,121,121,122,123,123,123,124,125,124,122,121,119,120,121,120,120,121,121,122,123,124,124,123,123,122,122,121,121,121,121,121,123,124,124,125,128,130,132,133,133,133,134,136,139,139,135,130,128,131,132,128,125,125,127,131,133,133,134,135,136,135,134,133,134,135,136,137,136,135,137,137,135,133,132,132,133,134,130,128,131,135,136,135,134,136,138,139,136,132,131,133,136,136,134,132,131,133,137,139,138,135,134,136,138,138,135,133,132,133,134,136,137,134,128,129,135,136,132,130,134,137,132,128,130,132,134,136,134,131,129,131,134,135,134,134,137,139,136,133,134,134,134,135,136,137,139,140,140,139,138,141,143,144,144,141,137,138,142,143,140,139,138,137,134,134,136,138,138,139,140,141,140,138,136,137,140,144,147,148,144,141,140,140,140,140,138,137,137,138,138,139,141,143,145,146,149,150,148,146,145,148,148,146,145,147,148,147,148,152,155,155,152,150,150,150,149,148,147,148,149,150,150,150,150,150,148,147,144,142,142,144,146,147,146,145,144,144,144,144,143,144,146,147,147,148,150,151,153,153,151,151,152,151,149,148,148,148,150,152,153,152,150,149,151,153,153,151,150,153,155,154,154,156,155,155,155,157,157,157,157,157,156,156,155,154,153,150,148,146,146,146,148,148,149,149,147,145,144,145,146,146,146,147,148,149,151,152,152,153,154,152,149,148,148,150,150,149,146,141,138,138,141,144,146,146,147,147,148,148,149,149,147,147,149,151,153,154,154,153,150,150,155,158,155,154,152,152,151,153,157,160,159,158,156,155,153,151,152,153,152,150,149,147,147,149,151,153,155,154,150,149,150,150,148,143,142,144,147,148,147,150,154,156,155,156,158,160,159,155,152,153,156,156,154,151,149,145,144,147,150,153,154,155,153,151,146,142,141,145,147,147,145,145,147,150,149,147,151,156,155,156,157,153,151,151,152,154,155,155,154,155,156,158,156,156,159,162,161,160,160,160,163,164,157,152,153,154,154,153,153,154,155,157,159,158,156,155,156,159,159,157,155,151,149,151,155,157,157,156,157,158,159,162,164,163,159,158,160,161,159,155,154,155,155,152,150,151,153,155,157,160,161,158,156,157,159,161,161,159,157,156,156,157,156,155,154,151,150,150,null],[121,121,122,122,123,124,125,127,129,129,127,124,121,120,120,121,120,120,120,120,121,122,124,124,123,122,122,121,119,120,122,120,119,121,125,126,126,127,128,129,130,130,130,131,133,136,136,135,132,131,134,134,130,126,125,128,130,132,133,135,136,136,135,133,133,135,136,136,138,138,137,136,136,134,133,132,129,131,135,134,131,133,135,134,133,133,135,137,138,136,134,132,132,133,135,135,135,134,135,136,137,137,136,136,137,138,137,136,135,134,135,136,136,136,133,129,131,136,135,132,133,137,137,133,130,132,135,137,136,134,131,129,130,133,134,134,135,137,139,137,136,138,137,135,135,137,139,139,139,139,139,139,139,140,141,140,138,136,137,140,142,140,138,137,138,138,139,140,141,140,138,140,142,142,139,138,139,142,143,144,145,143,141,139,139,139,137,135,136,138,140,140,141,143,145,147,148,150,152,150,148,147,148,149,148,146,146,148,149,150,152,154,154,154,153,152,151,149,148,148,148,149,150,151,150,149,148,147,146,145,144,145,145,145,145,146,145,143,143,144,145,145,145,145,147,148,149,150,151,153,154,153,152,152,153,153,154,154,155,155,156,156,153,150,150,151,153,153,152,152,152,150,150,153,155,155,154,155,157,158,160,160,159,158,155,152,151,150,148,147,147,148,148,148,149,149,147,145,144,144,146,147,148,148,147,148,150,153,155,154,153,153,153,152,150,148,148,149,148,144,140,138,139,142,144,144,144,145,147,147,147,147,146,146,147,149,151,152,153,154,155,152,150,154,157,157,157,156,154,153,155,158,158,157,155,155,155,153,151,153,155,155,152,149,149,151,152,151,151,154,153,149,149,148,147,145,143,143,146,151,151,149,149,151,156,158,157,157,159,159,155,153,155,157,155,152,151,150,146,144,146,148,150,152,154,156,152,146,143,142,143,144,145,146,149,150,150,148,149,155,157,153,155,158,153,149,152,151,150,153,154,153,154,155,155,154,155,158,161,160,158,156,155,159,162,157,153,155,156,157,156,154,152,153,156,158,159,159,160,160,159,158,156,152,150,149,150,152,154,155,155,156,158,160,163,163,162,163,164,164,163,163,161,157,154,152,151,151,151,152,153,155,158,159,158,156,156,159,161,159,158,157,157,158,158,158,156,152,151,151,153,null],[122,122,124,124,124,123,125,128,130,131,128,124,120,120,121,121,121,121,121,121,120,121,122,123,121,120,123,123,120,122,122,119,118,120,125,127,126,125,126,126,128,130,129,130,132,135,136,135,134,133,134,135,131,128,127,129,131,133,135,136,136,136,135,134,135,137,138,138,138,138,138,135,133,133,135,133,128,129,135,136,134,136,136,134,132,132,135,137,137,137,135,134,131,131,133,135,136,137,137,136,135,136,136,138,139,138,138,138,137,136,136,137,136,134,132,130,134,136,133,131,136,139,138,134,132,134,137,137,135,132,131,130,130,132,134,136,137,138,139,140,141,140,138,136,135,137,140,139,138,138,138,138,137,137,138,136,134,134,136,138,139,138,136,137,140,143,143,142,141,140,139,140,142,142,140,139,140,142,143,141,140,140,139,137,136,137,137,136,137,139,141,143,145,147,149,150,150,151,153,152,150,148,149,149,150,148,146,148,150,151,151,151,151,152,153,152,151,150,149,149,149,149,150,150,149,148,148,148,147,147,147,148,147,145,145,147,147,145,145,145,146,147,146,146,147,149,148,149,151,153,154,154,153,153,153,155,157,159,159,159,158,156,152,150,150,152,152,152,153,154,152,149,150,153,156,157,157,156,156,157,159,161,161,160,156,151,148,147,146,146,149,150,150,150,150,149,146,144,143,144,146,148,150,149,147,147,149,154,157,154,151,150,152,152,149,147,146,146,145,141,138,138,140,142,143,142,141,142,144,146,145,145,145,146,148,148,149,151,150,150,153,153,151,152,154,156,158,158,156,156,158,159,159,157,155,155,156,154,153,155,157,156,153,150,152,154,154,152,152,154,154,151,149,147,144,143,143,145,148,151,153,151,149,149,152,157,158,157,156,155,153,154,157,158,155,152,151,150,147,144,144,146,148,148,152,155,152,146,144,143,143,143,144,147,150,152,151,151,154,155,155,152,155,157,150,147,150,150,149,151,152,152,152,152,152,153,156,157,159,159,157,155,154,155,158,157,156,157,161,163,160,155,152,154,157,159,162,163,164,162,160,158,154,150,150,152,151,150,151,152,154,155,156,158,159,159,161,164,167,165,163,163,164,159,152,149,152,153,151,151,152,155,157,158,156,154,154,158,160,158,156,157,160,160,159,158,155,151,151,153,157,null],[124,125,126,126,123,122,123,126,128,129,126,122,120,121,122,122,122,122,122,122,121,120,120,120,118,119,123,124,124,123,122,120,120,121,124,126,125,124,125,126,129,131,130,131,134,136,137,136,134,132,132,133,131,129,129,130,133,136,137,136,135,136,136,135,136,139,139,138,138,138,137,133,132,135,137,134,130,130,135,136,136,138,138,136,132,132,136,138,138,137,136,136,134,132,131,132,135,137,137,136,136,136,136,138,140,139,139,140,139,137,135,135,135,132,131,132,136,137,131,130,136,139,138,136,136,137,138,137,134,131,132,132,132,132,134,136,136,138,140,142,143,141,138,136,137,138,140,139,137,136,137,137,137,137,137,135,132,133,135,136,135,134,134,137,141,143,142,139,139,140,141,141,141,139,137,137,139,141,142,141,138,137,136,134,134,137,138,139,139,140,142,146,149,150,150,150,149,149,150,151,151,150,150,150,151,150,149,150,151,152,151,149,149,150,151,151,151,150,149,150,149,149,149,148,147,147,148,150,150,149,149,149,149,148,148,149,150,150,148,147,148,148,148,147,148,149,149,149,150,151,153,154,154,154,154,155,157,159,160,160,157,153,150,149,150,153,154,152,153,155,153,150,151,154,157,160,160,158,156,156,158,159,160,161,160,154,149,147,145,147,149,150,150,151,150,147,146,145,144,144,146,147,149,148,146,145,147,152,155,152,148,148,150,151,149,146,146,147,145,140,138,139,140,141,141,140,139,140,142,143,144,144,145,146,146,144,145,147,147,148,150,153,153,152,152,153,156,157,158,157,158,159,160,158,158,158,157,157,158,157,156,154,151,150,152,156,154,153,154,153,153,151,147,145,144,144,146,148,149,149,151,153,152,149,150,154,157,158,154,152,153,156,159,160,157,154,152,150,147,145,145,148,150,149,150,154,152,149,147,145,144,143,142,143,147,151,151,153,155,152,150,153,155,153,148,145,149,151,151,150,151,153,153,152,152,154,156,157,157,159,159,158,158,157,156,158,159,159,162,165,160,156,155,158,162,162,164,165,164,162,161,159,155,151,153,157,155,151,151,152,153,154,153,154,155,156,159,162,165,163,161,160,160,158,152,150,153,155,154,152,152,157,160,161,157,153,153,156,159,159,158,160,163,163,160,156,153,151,151,154,158,null],[124,125,127,126,123,122,121,122,125,125,123,121,122,126,127,125,123,122,122,123,123,121,121,121,121,121,121,122,123,122,123,124,124,123,122,123,124,123,124,125,127,129,131,133,135,135,135,133,132,131,130,129,130,129,129,130,133,135,136,136,135,136,136,136,137,138,138,138,139,140,138,134,133,137,138,136,133,134,137,137,136,140,140,137,135,134,136,138,139,138,138,137,136,134,133,132,134,136,138,137,136,135,136,138,139,140,141,142,140,136,133,132,132,131,131,134,137,137,132,130,135,138,139,138,138,139,139,136,133,132,133,135,135,134,134,135,136,139,142,143,141,138,136,137,139,140,140,139,137,135,136,137,138,137,137,136,135,135,135,134,133,133,134,137,139,139,136,136,137,140,140,140,138,135,135,137,138,140,141,139,136,135,134,132,135,139,141,142,142,141,144,148,150,149,147,147,147,147,149,151,151,151,151,152,152,152,152,151,150,151,151,149,149,150,150,150,149,148,148,150,149,147,147,146,146,147,149,151,150,150,149,150,150,150,149,149,150,152,150,149,148,150,150,149,148,149,150,151,151,151,151,152,154,156,157,157,159,160,160,158,155,152,151,150,152,155,156,153,153,154,154,153,153,153,155,158,159,158,157,158,158,159,160,163,163,158,153,149,147,148,150,151,151,151,149,146,145,145,146,147,147,147,148,148,146,145,146,150,153,152,148,147,150,151,149,146,146,147,147,143,140,140,139,139,140,140,139,139,140,141,141,142,144,144,143,142,142,144,145,147,148,151,153,152,152,153,153,155,158,158,157,157,158,158,159,159,159,161,162,160,155,151,149,149,153,156,155,155,153,150,148,147,146,146,147,147,148,150,151,149,151,154,155,153,152,155,158,158,155,154,155,157,158,158,159,156,153,149,146,146,148,151,153,152,152,153,155,154,149,147,147,144,142,141,144,147,148,149,151,149,148,151,152,149,148,150,153,155,154,152,152,154,154,153,154,154,155,157,158,161,163,164,163,159,157,159,161,161,162,163,160,158,158,160,163,165,164,163,161,162,162,160,156,155,158,160,158,153,151,152,155,156,155,154,155,158,159,162,165,164,161,157,156,156,153,153,154,157,156,152,152,157,161,162,161,156,154,156,160,163,163,163,165,164,161,156,154,154,152,153,157,null],[125,125,126,125,124,124,122,122,122,123,123,123,125,130,132,129,125,122,122,123,125,123,123,124,125,125,122,120,121,120,123,127,129,126,123,123,124,124,123,124,126,128,132,134,135,134,132,130,130,130,129,129,130,129,128,129,130,132,133,134,134,134,135,135,136,137,136,137,140,141,139,136,136,138,139,137,136,136,138,137,137,139,139,137,137,136,136,136,138,138,138,138,137,136,135,134,135,137,139,140,137,135,136,137,137,139,142,142,139,134,131,131,132,132,132,134,136,136,133,132,135,138,140,138,138,139,139,137,135,133,134,136,137,136,135,135,136,139,143,143,140,136,135,138,141,141,139,138,136,134,135,137,138,137,136,137,139,138,135,134,133,135,135,136,135,133,132,134,137,138,137,136,135,133,134,136,138,138,138,136,134,134,134,135,138,142,144,145,145,145,146,148,149,147,145,144,145,147,149,150,150,150,151,152,152,152,152,150,149,150,150,150,151,152,151,149,147,146,147,148,148,147,146,145,146,148,150,150,150,148,147,149,151,150,148,148,149,151,151,150,150,151,152,150,148,148,149,152,152,151,151,152,154,156,159,161,163,164,162,157,154,154,153,152,154,156,157,155,154,154,155,154,153,153,154,155,156,156,158,160,160,160,161,163,163,160,155,152,150,150,150,151,151,148,147,146,144,145,148,149,148,147,148,149,149,147,147,149,153,152,149,147,148,150,149,146,146,147,148,146,143,141,139,139,141,141,140,141,141,140,140,141,143,143,143,143,142,142,144,147,147,148,150,151,152,153,153,154,158,158,156,155,156,157,157,159,161,163,162,159,155,152,151,151,155,157,157,155,151,147,144,143,145,148,151,151,149,151,152,152,153,155,158,157,156,159,161,158,157,158,158,157,155,154,155,155,152,148,147,148,151,151,153,155,155,155,159,158,153,150,151,147,143,142,143,144,145,145,147,147,148,148,147,146,151,155,157,158,156,155,155,155,155,154,154,155,156,157,159,163,166,167,164,161,159,161,163,163,163,163,162,160,159,159,161,163,161,158,159,162,163,160,157,159,162,161,158,154,151,152,157,158,157,156,157,160,161,163,166,166,162,156,155,156,156,155,155,157,157,153,151,154,158,161,163,160,156,157,161,164,164,163,165,164,161,159,158,157,153,152,158,null],[126,125,123,123,126,128,127,125,123,124,126,126,126,127,131,133,129,123,122,122,123,124,125,125,126,127,125,123,122,120,122,128,131,129,126,125,126,125,124,125,128,130,133,136,137,136,134,132,130,129,129,131,132,131,128,127,128,130,132,133,133,133,133,133,134,137,136,135,137,139,138,138,139,140,140,139,139,137,136,136,137,138,138,139,138,137,135,135,136,139,139,137,137,137,136,136,137,138,139,140,137,136,138,140,139,139,141,140,136,132,132,134,134,135,134,133,133,134,133,134,137,139,139,137,138,139,140,139,137,135,135,136,137,138,137,135,136,139,142,144,142,138,136,139,142,142,140,137,134,133,134,136,136,135,135,137,139,137,135,133,134,135,135,135,133,130,130,133,136,136,134,133,133,133,133,134,136,136,135,133,133,133,136,140,142,144,146,148,150,148,147,147,148,149,146,144,144,147,149,148,147,149,151,151,151,150,150,149,148,149,150,151,151,151,150,148,147,146,145,146,147,147,147,147,147,148,149,149,148,146,145,148,151,150,148,148,149,151,151,152,152,152,152,150,148,147,148,150,152,152,152,154,155,156,158,161,164,165,162,158,156,156,155,154,154,155,156,157,157,157,155,154,152,153,154,154,154,155,158,159,159,160,162,162,160,158,155,153,153,152,150,150,148,146,146,147,146,146,148,147,146,146,148,149,150,149,150,150,151,152,149,146,146,146,146,146,146,147,147,146,144,141,139,140,144,144,143,143,142,140,140,141,142,144,146,146,143,142,144,146,146,145,146,149,151,152,153,155,157,157,154,154,155,155,154,156,160,161,158,156,156,156,156,155,156,158,157,154,151,148,144,143,145,150,155,153,150,150,153,155,155,154,158,158,156,160,162,158,157,158,157,156,153,151,150,151,149,146,148,152,153,151,150,154,158,159,160,159,156,154,152,148,145,144,144,145,146,147,147,148,147,145,144,147,152,155,154,155,156,156,156,155,153,153,155,157,158,156,159,163,166,166,164,162,161,162,163,165,165,164,163,161,159,157,158,159,157,156,159,163,163,157,155,159,163,159,155,151,150,153,156,157,156,155,157,159,162,164,166,163,158,156,158,160,158,155,155,157,156,152,150,153,156,159,162,161,158,157,159,160,159,160,164,165,163,161,160,158,153,153,159,null],[127,124,122,123,126,129,130,128,125,126,129,129,127,126,129,132,128,125,124,122,122,123,124,124,126,128,128,127,125,121,122,128,129,128,128,128,128,127,126,127,131,133,135,136,138,137,134,131,129,129,131,133,133,131,129,128,129,130,131,133,134,134,133,132,133,136,135,134,134,136,137,139,140,140,140,141,140,137,135,135,137,137,139,141,139,138,137,136,137,140,140,137,137,138,138,138,139,140,140,140,139,139,141,142,141,141,141,139,134,130,131,135,137,137,136,134,134,135,134,135,140,141,139,138,139,140,141,140,138,138,137,136,136,139,139,138,138,139,141,144,144,141,138,139,142,143,140,137,134,133,133,134,134,133,133,134,135,135,133,132,131,132,133,134,133,131,131,133,135,134,131,131,132,132,132,132,134,134,133,132,133,133,137,141,143,143,144,149,150,149,147,148,150,150,147,145,144,146,147,146,146,149,151,150,148,147,148,149,149,149,151,153,152,150,148,147,146,146,145,144,146,148,148,148,148,147,149,149,147,145,145,148,151,149,148,149,150,150,151,152,153,152,151,151,149,148,149,150,151,153,154,155,155,155,156,158,161,162,162,161,160,159,157,155,154,155,156,158,158,158,156,153,151,153,156,155,154,155,156,156,157,160,162,160,156,155,152,152,153,153,151,149,147,147,148,149,149,147,147,145,145,147,148,148,149,150,151,152,152,151,148,146,145,145,144,145,147,147,146,144,142,140,140,143,146,146,145,145,143,141,142,143,142,144,146,147,145,142,144,146,146,145,145,146,148,151,153,155,155,153,152,153,155,155,154,156,160,161,157,155,156,157,157,156,157,157,154,151,149,148,146,144,146,151,155,154,150,150,153,158,157,155,158,157,155,159,162,158,155,154,153,152,151,149,149,152,149,145,149,154,156,152,149,153,157,159,159,158,157,154,150,147,145,144,145,148,151,153,151,149,147,145,145,147,149,150,149,151,154,155,155,155,153,152,154,157,158,155,158,164,164,162,163,164,164,163,164,164,164,163,162,159,157,156,156,156,155,155,159,162,160,155,152,157,160,157,152,149,152,155,156,156,156,155,155,157,160,163,164,159,157,160,162,160,156,155,157,158,155,151,150,151,152,154,157,159,160,160,158,156,156,159,162,164,164,163,162,158,154,155,161,null],[126,124,123,124,125,126,128,128,126,127,130,131,130,129,127,126,125,125,127,125,122,122,124,124,125,126,127,128,126,123,123,126,127,127,129,130,129,129,129,130,133,136,136,135,136,134,131,128,127,130,133,133,132,131,132,132,132,130,131,133,136,136,135,134,134,134,134,134,134,134,136,139,141,140,140,142,141,138,136,136,136,139,141,142,142,141,141,140,140,141,141,138,137,137,137,138,139,142,142,140,140,142,143,143,143,143,142,138,133,130,131,134,137,138,137,137,137,137,134,135,140,141,139,139,140,141,141,140,140,140,140,138,137,139,140,141,141,140,142,144,145,141,139,139,141,142,140,136,134,134,133,132,133,133,132,131,132,133,132,130,127,127,130,132,133,132,132,133,133,133,131,131,132,132,132,132,132,132,133,134,135,136,139,141,142,142,143,146,147,146,146,149,151,150,146,144,144,146,146,145,146,149,151,149,145,144,147,150,151,150,152,154,153,150,148,146,145,145,144,144,146,148,148,147,147,147,149,149,146,144,146,148,149,149,148,149,150,150,151,152,152,153,153,153,152,151,152,151,151,153,155,154,154,154,154,154,156,159,161,162,162,161,158,155,154,154,156,156,156,156,157,155,153,154,157,157,156,156,156,156,157,160,162,158,154,152,150,149,151,152,150,148,148,150,151,151,150,147,147,148,149,148,148,147,149,150,152,154,154,151,148,147,147,146,144,144,145,146,144,142,140,140,142,145,147,147,146,146,145,143,144,145,143,142,144,147,146,143,144,147,149,149,148,146,146,149,151,152,151,151,151,152,153,157,157,158,162,161,158,157,157,156,154,153,154,154,150,148,147,147,146,144,146,150,153,153,151,149,152,158,159,157,156,156,156,158,159,157,153,151,148,148,148,151,153,157,153,147,148,153,157,155,152,153,155,157,156,154,154,150,147,145,145,144,145,149,155,157,154,151,148,146,147,148,146,145,146,148,150,152,154,155,154,153,155,156,156,155,158,163,161,160,164,166,166,165,165,164,162,159,157,156,156,157,157,158,157,155,156,157,157,154,153,154,155,154,151,151,154,158,158,157,157,157,156,156,159,162,163,161,161,165,164,158,156,158,161,161,156,151,149,150,149,150,153,157,161,163,161,157,157,160,162,162,162,163,163,160,158,159,163,null],[125,124,124,125,126,127,128,129,129,129,131,133,132,129,126,125,124,126,128,126,123,122,124,125,123,123,127,129,127,125,124,126,128,129,132,130,129,130,132,132,134,136,136,134,132,130,128,127,128,131,133,132,132,132,134,134,133,131,130,132,135,138,137,135,133,133,134,135,135,135,137,141,141,139,140,142,140,137,137,137,138,141,143,144,144,144,143,143,143,142,140,139,137,135,135,136,138,142,143,141,139,139,140,142,144,144,143,138,133,131,132,135,137,138,139,139,139,138,135,135,138,140,140,140,140,141,141,141,141,142,142,141,139,140,141,142,142,142,144,145,144,141,140,140,140,140,138,134,133,133,133,133,133,132,132,130,131,132,132,130,127,127,130,132,132,132,134,135,134,133,132,132,133,134,134,133,132,133,135,136,137,140,143,143,142,143,144,144,144,144,145,148,150,149,145,142,144,146,147,147,148,150,150,148,144,144,147,149,151,152,153,152,151,149,147,147,145,144,143,145,146,147,146,146,147,147,148,148,145,143,145,148,149,149,148,148,150,152,152,152,153,155,156,156,156,156,154,152,150,153,155,155,154,153,152,152,155,158,161,162,162,159,156,153,152,154,155,154,154,155,157,157,155,155,156,158,159,160,159,158,159,160,159,156,153,150,148,148,149,149,148,147,149,152,152,151,149,146,146,150,152,149,147,147,149,152,153,154,154,150,148,148,148,146,144,144,144,143,142,142,143,144,145,147,148,148,147,146,147,147,148,147,144,142,143,146,146,144,143,147,151,152,151,149,147,147,148,148,150,152,153,152,152,155,158,159,160,160,160,161,160,157,153,150,150,149,148,149,149,147,145,145,146,150,153,154,153,150,151,156,158,157,158,158,157,155,154,152,151,150,149,149,150,153,156,157,153,149,150,153,155,156,156,155,155,153,151,149,148,146,146,147,146,144,145,149,154,156,154,153,149,147,149,151,147,144,145,146,148,151,154,156,155,155,156,158,159,157,157,159,159,160,167,167,165,164,165,164,160,155,154,156,158,160,160,161,158,155,153,153,155,156,156,154,152,152,151,151,155,159,160,157,156,157,158,160,162,163,163,164,166,168,165,160,161,164,166,163,157,151,151,153,152,151,152,154,157,161,163,162,161,162,162,161,160,162,164,165,163,162,164,null],[124,124,125,126,128,130,131,131,131,132,133,134,131,127,127,127,125,126,129,127,123,122,125,126,122,121,126,129,128,125,125,128,131,132,133,131,129,131,134,133,134,135,135,132,129,128,129,129,131,133,132,131,133,134,135,135,133,132,131,132,134,138,138,135,132,133,134,136,136,138,140,142,142,139,139,141,139,138,138,138,140,142,143,144,145,144,143,144,144,141,139,139,136,134,134,136,139,143,144,142,138,137,138,141,144,144,143,140,136,134,134,136,138,140,141,140,139,136,134,134,137,139,140,141,141,141,143,143,142,141,141,142,142,141,141,142,142,143,145,145,143,142,141,140,138,136,133,131,131,132,133,133,132,132,132,131,132,133,133,132,132,131,132,132,132,133,135,136,135,133,133,134,136,138,139,136,135,136,138,139,140,143,146,146,144,144,145,145,143,143,145,146,146,146,143,142,143,146,148,149,149,150,149,147,145,145,147,148,150,153,153,151,149,148,147,148,146,143,144,146,147,146,145,146,147,147,147,146,144,143,145,148,150,149,147,148,151,153,153,152,153,155,157,157,157,157,155,153,151,153,155,155,154,153,151,152,155,158,160,161,159,157,154,152,153,155,156,156,156,156,158,158,155,154,156,158,160,162,162,161,161,159,157,154,151,149,149,150,149,147,147,147,149,152,151,149,147,146,146,150,152,150,147,147,150,153,154,154,153,150,149,149,148,145,144,145,146,143,141,143,146,147,148,149,151,150,149,148,149,151,150,147,145,145,146,148,147,146,143,145,149,152,152,151,149,148,147,147,149,153,155,153,151,153,157,159,159,158,159,160,161,159,155,151,148,147,148,152,152,148,145,145,147,150,152,155,155,152,152,155,157,157,159,159,157,154,151,150,149,150,152,154,153,156,156,154,150,149,151,153,153,155,159,158,155,151,149,148,147,146,147,149,148,145,144,147,150,153,155,155,152,149,152,155,152,148,147,147,147,150,153,156,156,156,158,161,162,160,158,158,159,163,167,166,162,162,164,163,159,153,153,157,161,164,164,163,159,155,152,153,155,159,159,156,154,154,152,152,155,160,163,160,156,157,159,163,166,166,164,166,166,166,165,164,165,166,166,162,156,152,153,156,158,156,154,152,152,157,162,164,163,163,163,161,159,160,165,169,167,165,165,null],[123,125,126,127,129,133,134,133,131,132,134,133,130,128,129,128,124,125,129,126,122,122,125,127,123,121,127,129,128,126,127,131,132,132,132,132,131,133,134,133,133,134,133,129,127,128,131,133,134,134,131,130,134,136,136,137,135,134,134,134,133,136,139,136,133,135,137,138,138,140,142,143,141,139,138,139,139,139,140,141,142,142,143,143,142,141,141,143,143,140,138,138,137,136,137,138,141,143,143,142,140,140,142,143,143,144,144,143,140,137,136,136,139,141,142,141,138,135,133,134,136,138,140,141,142,142,143,143,142,140,139,141,142,141,140,140,141,144,145,145,144,144,143,140,136,132,129,129,130,131,132,132,131,131,132,133,134,134,134,135,136,135,134,133,134,135,136,135,134,134,134,136,138,141,143,142,141,141,142,142,143,144,145,146,145,144,145,144,143,144,145,144,142,142,141,142,144,147,150,150,149,150,149,147,146,146,147,149,150,151,152,152,150,148,147,147,146,143,144,147,148,146,146,147,148,147,145,144,144,145,146,148,149,149,147,148,151,152,151,150,150,153,155,155,155,154,155,155,153,154,154,154,153,152,151,152,154,156,157,159,157,155,154,155,156,157,158,160,160,159,159,158,154,153,155,157,158,160,162,161,159,157,156,152,149,149,151,153,151,149,150,150,150,151,150,148,147,147,146,149,151,151,149,148,150,153,153,153,153,152,151,150,149,147,146,147,148,147,144,143,146,149,150,151,152,152,152,151,152,151,149,146,145,147,151,150,149,148,145,144,146,148,150,150,151,151,150,149,150,153,155,155,153,153,156,159,159,157,157,158,158,158,157,154,150,147,148,154,155,150,145,145,149,152,152,154,156,154,153,155,158,160,159,158,155,154,154,152,150,150,154,156,156,157,155,151,147,147,151,154,155,158,160,158,153,149,150,151,150,148,148,150,151,148,145,145,148,153,157,157,155,153,155,158,157,153,150,148,147,149,152,155,157,157,157,159,161,163,162,162,163,165,165,163,160,161,162,161,157,155,154,157,161,165,167,165,160,156,153,155,158,160,159,158,157,156,153,152,157,162,163,163,160,159,159,162,167,168,165,163,162,163,164,165,164,162,161,158,153,151,154,158,161,160,157,153,152,154,160,163,162,161,162,162,160,161,165,169,169,167,166,null],[123,126,127,128,130,133,134,132,131,133,135,134,131,130,129,128,124,125,129,126,121,121,125,127,126,124,127,129,128,127,128,130,131,131,134,135,135,136,135,133,132,131,131,129,127,130,133,134,134,132,130,131,135,137,137,139,138,136,137,136,133,135,139,137,135,136,138,140,140,142,143,143,140,138,137,139,140,141,142,142,142,141,141,141,140,140,141,143,143,140,139,139,140,140,140,141,142,142,142,142,143,145,146,145,143,144,144,142,140,139,137,136,137,139,140,141,139,136,133,133,135,137,139,141,142,143,142,142,141,140,140,140,140,139,138,139,139,141,143,144,144,144,144,142,137,132,129,129,131,132,133,132,132,132,133,135,136,137,137,137,138,138,136,136,137,137,137,137,137,137,137,137,139,142,144,145,145,144,143,142,143,143,143,144,144,143,144,144,143,144,145,142,140,140,141,143,145,148,150,150,151,151,149,147,147,147,147,148,149,150,151,151,149,147,146,146,146,144,144,147,147,147,147,147,146,144,143,144,145,146,148,149,148,147,148,149,151,150,148,147,148,151,152,151,151,152,154,155,154,153,153,153,151,150,151,152,154,155,155,156,156,155,157,158,159,158,159,160,162,162,161,158,155,153,154,155,156,158,160,159,155,154,155,152,150,150,153,155,154,154,155,154,153,151,149,148,148,147,146,148,152,152,150,148,149,150,150,151,153,154,153,151,149,147,147,149,150,149,146,144,146,150,152,153,154,155,154,153,152,150,147,145,145,147,150,151,151,151,148,145,144,147,150,150,150,152,153,152,150,151,154,155,154,154,156,158,160,159,157,156,156,155,155,154,151,149,149,153,156,151,146,146,151,154,154,154,156,156,155,156,159,161,160,157,156,158,158,154,152,152,154,156,157,155,152,150,148,148,151,154,157,159,159,158,153,149,152,156,155,152,150,152,153,150,146,146,149,154,157,156,155,157,158,158,159,156,152,147,146,149,152,154,156,156,156,157,159,162,163,165,166,166,164,162,162,163,164,162,160,159,157,156,158,165,168,167,162,157,156,159,161,160,159,160,160,158,152,151,158,161,160,162,161,159,158,159,165,167,166,163,162,162,162,161,159,158,157,155,153,154,155,158,161,162,158,154,152,154,157,159,159,158,160,160,160,161,164,167,168,167,167,null],[124,127,129,127,128,131,132,132,132,134,136,135,132,129,128,128,126,128,130,127,122,121,124,128,127,126,128,129,129,128,127,128,130,132,136,138,138,137,136,134,131,130,131,132,132,134,135,134,132,131,129,131,136,137,137,138,138,139,138,136,133,136,140,139,137,137,139,141,142,144,144,143,140,138,137,139,140,141,141,140,139,140,139,138,139,142,143,143,143,142,142,142,142,142,142,142,141,141,141,143,145,147,147,145,144,145,143,139,138,139,138,136,136,136,137,140,140,138,134,133,135,137,139,140,142,143,142,141,142,142,141,139,138,137,137,137,137,139,141,142,142,143,143,142,139,135,131,131,132,134,133,133,133,133,134,135,137,140,141,139,140,140,139,139,139,138,138,140,141,141,141,140,140,142,143,143,144,144,143,141,141,142,143,143,142,142,142,143,142,143,143,143,143,143,144,146,147,148,148,149,150,150,148,146,147,147,147,146,147,149,149,148,146,145,145,145,145,145,145,146,147,147,146,146,144,142,143,144,145,146,147,148,147,145,147,150,150,148,146,147,149,150,149,148,148,150,152,152,152,153,153,152,149,148,149,152,154,154,154,154,155,156,157,158,158,157,157,159,161,163,162,160,157,156,155,154,155,158,158,156,152,152,154,152,150,151,153,154,155,157,158,157,154,151,151,151,149,146,145,149,153,154,151,149,149,149,147,149,153,155,154,150,148,147,148,149,149,147,146,145,147,149,151,154,157,157,156,153,151,148,146,145,145,145,146,150,152,153,151,147,145,148,152,151,149,150,153,154,151,150,152,155,157,156,156,157,160,161,159,156,155,154,152,151,151,150,151,153,154,150,146,147,151,154,155,156,156,157,157,157,159,161,160,158,158,159,158,154,154,156,155,155,156,152,149,151,152,151,150,152,157,159,158,158,155,151,154,158,158,154,152,153,155,152,148,147,148,152,154,152,152,157,158,156,158,158,152,147,147,149,152,153,153,155,156,158,159,160,161,162,164,165,165,165,165,166,166,166,166,164,159,156,158,163,167,167,163,160,160,162,163,160,158,162,162,158,151,150,156,158,156,158,159,157,157,158,161,164,165,166,164,161,159,158,157,156,156,155,155,158,159,160,162,162,157,153,152,154,155,155,155,157,159,159,159,160,163,165,166,167,168,null],[125,127,128,126,125,128,130,131,134,135,135,133,131,129,129,131,131,131,130,128,125,123,125,128,128,128,129,130,130,129,128,130,131,133,137,139,139,137,135,136,132,130,132,135,137,138,138,136,134,133,131,131,133,135,135,135,136,137,137,136,136,138,140,139,137,139,141,142,143,143,143,142,140,138,137,138,137,137,137,136,137,139,139,138,140,143,145,144,143,143,143,144,143,143,142,142,142,142,143,145,146,145,145,145,144,144,142,138,139,142,141,139,138,138,139,140,141,139,137,136,137,138,139,140,142,143,143,143,142,141,140,138,137,135,135,136,137,139,141,141,140,139,140,139,137,135,133,132,133,134,133,132,133,133,134,134,136,141,142,141,141,142,142,142,141,139,139,142,142,142,142,142,142,143,143,141,141,144,144,142,140,142,144,144,141,140,140,141,141,141,142,144,146,147,147,149,150,149,146,145,145,146,145,144,145,146,147,146,145,147,147,146,146,145,145,144,144,144,145,146,147,146,145,144,143,142,143,145,145,145,146,146,146,145,146,148,148,147,146,147,149,149,147,146,147,149,150,150,151,151,152,151,149,147,149,152,153,152,152,154,155,154,153,153,154,153,155,157,160,161,161,160,159,159,158,155,155,156,155,153,152,153,154,151,149,151,154,155,155,157,157,154,151,151,152,153,151,148,145,149,153,153,152,151,151,149,146,148,152,154,153,149,147,148,149,149,148,146,145,145,146,147,149,154,158,157,155,152,149,146,145,146,147,146,146,150,153,153,151,147,145,148,152,151,148,150,154,157,156,152,152,156,159,159,157,157,160,161,159,155,154,153,152,151,150,150,152,152,151,147,146,147,150,154,155,156,156,156,156,158,161,162,159,157,156,156,154,152,155,159,158,157,156,151,149,152,155,154,151,150,154,158,160,158,154,152,154,157,157,155,153,154,156,152,149,147,147,149,150,150,151,153,153,154,158,159,154,149,148,149,150,150,151,154,157,159,158,157,157,158,159,162,165,166,165,164,165,167,167,164,161,159,160,161,163,164,163,163,165,165,162,159,159,161,160,156,151,151,153,155,156,156,155,154,155,157,158,160,163,167,165,159,158,160,160,158,157,155,156,161,163,163,164,161,155,152,153,156,156,155,154,157,161,161,158,159,162,164,166,168,169,null],[127,128,128,126,126,128,128,130,132,133,133,133,132,130,130,132,132,130,128,127,127,127,128,129,129,130,131,132,131,130,130,133,134,136,138,140,139,136,136,138,135,131,132,136,140,140,138,137,136,135,135,134,134,133,133,134,136,137,137,137,138,140,140,138,139,141,143,143,142,141,141,140,139,137,137,138,137,136,135,135,136,138,138,138,140,142,144,145,144,143,143,144,144,142,142,143,143,143,144,147,145,142,143,144,143,144,142,140,142,144,144,142,140,141,141,141,141,139,139,139,138,139,140,141,142,143,144,144,142,140,138,137,136,134,133,135,137,139,140,140,139,139,138,136,135,134,134,133,132,133,133,133,133,133,133,134,137,140,142,141,142,143,143,142,140,139,140,141,142,142,143,142,141,143,142,140,139,142,144,143,141,142,145,144,141,138,137,139,141,141,141,144,147,148,148,148,149,147,143,142,141,142,144,145,145,145,147,146,145,145,145,145,144,144,145,144,143,143,144,146,146,145,143,142,143,144,145,145,145,145,145,146,147,146,147,147,147,147,147,148,148,146,145,146,147,148,149,149,149,149,150,152,150,147,148,151,153,152,152,155,155,152,150,149,150,151,154,156,158,158,159,159,160,161,160,157,155,156,155,153,153,155,155,153,150,151,153,154,153,153,153,152,151,152,152,152,152,149,147,149,152,152,153,154,153,151,149,149,151,153,152,149,147,148,150,150,148,146,145,145,146,147,150,153,155,155,153,151,147,145,145,149,152,150,149,151,154,153,150,146,144,146,148,149,149,150,155,159,159,156,153,155,158,159,159,160,161,161,158,155,154,155,155,154,151,149,151,151,149,147,147,147,148,150,152,154,155,154,154,157,161,161,158,156,155,153,151,152,156,159,160,158,155,150,150,153,156,155,152,151,152,157,160,157,153,153,154,155,155,155,155,156,156,153,149,146,146,147,149,152,153,152,150,152,157,159,157,153,150,148,147,149,153,157,159,159,157,155,154,155,156,159,163,163,162,161,162,166,166,163,163,163,163,162,161,161,163,165,168,167,162,160,160,159,157,155,155,155,153,155,158,157,156,156,156,157,157,160,164,167,164,158,159,162,164,162,160,157,158,161,164,164,163,159,154,152,155,158,159,158,155,158,164,164,159,159,161,164,167,169,169,null],[129,128,129,129,130,130,129,128,129,131,134,136,135,131,131,131,129,125,124,125,128,129,131,131,132,132,133,133,132,131,130,133,136,139,141,140,139,137,138,140,137,132,132,135,138,138,137,137,136,136,138,139,137,135,134,136,138,140,139,138,139,140,140,140,141,143,144,142,140,139,139,138,136,136,137,139,140,139,138,137,136,137,138,138,139,140,143,145,145,143,143,144,143,141,142,143,144,144,144,145,142,139,140,143,144,144,144,142,143,145,144,142,142,142,142,142,140,139,139,139,137,138,141,143,142,142,142,143,141,139,136,136,135,133,133,135,137,139,139,139,139,140,140,138,136,135,135,132,130,131,133,134,134,133,133,136,139,139,140,141,142,142,142,140,137,137,138,138,140,142,142,140,140,141,141,139,139,140,141,141,141,142,143,143,140,138,137,140,143,143,142,142,143,144,145,145,145,143,142,142,142,142,144,147,146,145,147,147,146,145,145,144,142,143,145,145,143,142,144,146,145,143,142,142,144,146,147,146,146,146,147,148,149,149,149,149,149,149,149,147,145,143,143,146,148,149,149,148,147,147,149,151,149,146,146,150,152,153,153,155,155,153,150,148,149,151,153,156,156,156,156,157,159,160,160,158,157,157,157,155,154,155,157,157,155,153,152,151,150,150,151,153,153,152,151,150,151,150,148,148,149,150,153,155,154,152,152,152,152,153,152,151,148,148,151,152,150,148,147,147,148,150,153,153,152,152,152,149,146,145,147,152,156,155,151,154,156,155,151,147,143,142,145,148,149,151,155,158,159,157,155,154,155,156,159,162,163,160,158,156,156,157,159,158,152,149,150,150,149,148,149,148,147,146,148,151,152,152,153,155,159,160,158,156,156,155,155,155,157,158,159,157,153,150,150,153,154,153,154,154,153,156,159,157,155,157,155,154,154,156,157,156,155,154,150,146,147,149,150,153,155,154,152,153,155,158,159,156,151,147,146,150,157,161,161,158,155,154,155,155,157,158,159,158,158,159,161,164,163,163,165,165,164,163,163,163,162,163,166,168,164,162,160,158,157,157,160,159,155,155,158,159,160,162,160,158,158,162,165,166,164,162,160,162,166,167,164,162,161,160,161,160,160,158,155,155,157,159,160,161,159,159,163,164,162,161,162,163,168,170,169,null],[131,129,129,130,133,133,131,129,129,130,132,135,135,132,132,133,127,124,125,126,128,131,133,133,133,133,135,136,134,131,131,133,136,140,141,141,140,139,138,137,136,135,135,135,134,134,135,136,135,136,139,141,139,136,136,139,141,141,139,138,138,141,144,143,143,143,143,141,138,137,137,135,135,137,139,141,141,141,141,140,139,139,139,138,139,141,143,145,145,143,143,144,142,140,141,143,145,144,143,142,140,139,140,143,146,146,145,143,145,146,144,142,143,142,141,142,142,140,140,140,137,137,141,143,142,140,141,142,140,138,136,136,135,134,134,136,138,138,139,138,139,139,139,138,137,136,135,132,130,130,132,133,132,132,133,137,138,137,138,141,142,141,141,139,137,136,135,136,138,140,140,140,140,139,138,137,138,139,138,139,141,141,140,140,139,138,140,143,144,144,143,142,142,142,142,142,142,142,144,145,145,144,146,149,148,148,149,148,146,144,144,143,142,142,144,144,142,143,145,145,143,141,141,143,145,148,149,148,147,147,149,151,151,151,149,148,148,149,148,146,144,141,142,145,148,148,147,146,145,146,148,150,149,147,147,150,151,152,153,154,156,156,153,149,148,150,153,154,155,155,154,155,157,158,158,159,159,158,158,157,155,155,158,160,159,155,152,151,151,151,152,154,154,150,148,148,149,149,148,148,149,150,153,155,153,152,153,154,153,154,154,152,150,151,153,154,151,150,149,149,150,152,153,152,150,150,151,149,146,145,147,152,156,156,155,157,158,156,152,147,144,143,145,148,149,151,153,155,157,157,157,156,155,156,159,162,162,161,158,157,156,158,160,159,156,154,152,150,148,150,152,151,149,147,147,148,150,152,153,155,158,160,159,159,159,159,158,159,159,159,160,156,151,149,150,153,152,152,156,158,156,157,158,158,160,162,158,156,155,156,155,153,152,152,150,148,149,149,148,150,153,154,155,156,156,157,159,158,153,148,147,151,156,159,158,155,153,155,156,155,157,159,156,155,156,158,160,161,160,163,167,167,164,164,166,166,164,163,164,166,166,164,162,159,158,160,162,160,155,153,157,159,163,165,161,158,159,162,163,164,166,168,166,165,167,169,166,164,162,160,158,157,159,159,158,159,160,161,161,162,161,160,162,164,165,164,164,165,168,170,170,null],[130,129,128,129,132,133,132,131,130,129,130,131,133,133,135,136,131,128,129,128,128,132,135,135,134,134,137,138,136,132,132,135,136,137,140,142,141,139,135,132,135,138,137,135,132,133,135,135,134,135,139,140,137,136,138,141,142,142,140,138,139,143,146,145,142,142,142,140,137,136,136,135,136,138,140,141,140,141,142,142,142,142,141,139,141,142,143,144,145,143,143,143,141,139,141,143,144,143,141,140,140,142,143,145,148,147,145,145,146,146,144,143,144,142,141,143,144,142,142,141,139,139,141,143,143,141,142,142,141,138,136,136,136,135,136,138,138,139,139,138,137,137,137,135,135,134,133,132,130,131,132,131,130,131,134,137,137,136,137,140,141,140,140,140,139,135,133,134,134,136,138,140,141,138,135,136,137,138,137,138,140,139,138,138,138,139,142,143,143,143,144,144,143,143,143,142,143,144,146,147,146,147,148,149,149,150,150,148,145,142,142,142,141,141,143,142,141,143,144,143,141,141,142,144,145,147,149,148,148,148,150,151,152,151,149,146,147,148,147,145,143,142,142,144,147,147,145,144,145,146,148,148,147,147,149,150,150,152,153,154,157,158,156,152,148,149,150,152,154,154,153,152,154,156,157,158,158,157,157,157,156,157,159,161,160,157,155,155,155,155,154,153,151,148,146,146,147,148,149,149,151,152,153,154,153,153,156,156,155,156,155,154,153,154,155,155,153,152,152,152,152,152,152,151,150,150,150,148,146,146,147,150,154,155,156,159,160,157,151,146,145,147,149,149,149,150,152,154,156,158,159,158,158,158,158,159,159,159,158,156,154,155,155,157,158,158,154,150,148,151,154,154,153,151,148,147,149,152,154,155,157,158,159,159,160,160,160,161,160,158,158,155,150,149,152,154,153,152,156,159,158,158,158,161,163,163,160,157,156,154,151,151,151,149,150,151,151,149,146,147,150,152,155,157,158,158,160,159,155,150,148,149,152,153,152,150,150,153,154,154,157,159,156,155,157,160,159,158,158,162,167,168,165,166,169,168,167,165,164,163,165,166,164,161,160,160,160,157,154,153,157,160,164,164,160,157,159,160,160,161,166,170,171,170,170,171,169,166,163,161,159,158,161,163,162,162,163,163,163,163,163,162,162,163,166,167,167,167,168,169,169,null],[130,129,129,130,132,133,134,134,130,128,130,131,133,134,138,138,136,133,130,128,129,132,136,137,136,135,136,137,137,134,134,138,136,136,138,141,141,138,133,132,135,137,134,132,131,134,136,135,135,136,139,139,134,134,138,140,142,144,143,140,138,141,145,143,140,140,140,138,135,136,138,138,138,138,139,140,141,141,141,142,143,144,142,141,142,142,141,142,144,142,142,142,140,139,141,143,143,141,139,140,143,146,145,146,148,147,145,145,146,145,144,144,143,141,141,144,144,143,142,143,142,141,141,143,144,144,144,144,144,141,138,137,136,135,135,137,138,140,139,136,136,137,136,133,131,131,131,131,131,132,133,131,130,132,137,138,138,138,138,137,137,138,140,141,140,136,133,133,133,134,137,139,139,137,136,137,137,137,137,138,138,138,138,139,140,140,141,141,141,143,146,147,145,144,145,145,145,145,146,145,145,147,147,147,148,150,150,147,143,141,141,140,139,140,141,141,141,141,141,140,140,142,144,145,145,146,147,147,147,149,149,150,151,151,149,146,146,146,146,144,142,143,144,144,146,146,145,145,145,147,148,147,146,146,148,150,151,153,154,155,156,156,156,153,149,147,148,149,152,153,152,151,153,155,157,157,156,155,156,158,159,160,161,162,160,158,159,160,159,156,154,151,150,150,148,147,149,151,151,151,152,155,155,154,152,154,158,158,156,157,157,156,156,156,156,156,155,154,154,154,154,152,150,149,149,149,148,147,147,148,149,152,153,154,156,158,160,157,150,145,146,149,151,151,150,151,154,157,158,158,158,158,159,159,159,158,157,157,157,156,154,152,151,152,156,155,151,150,151,153,154,154,155,154,150,148,149,151,154,154,154,154,155,155,157,159,160,159,156,154,154,154,152,152,154,157,157,154,153,155,157,158,159,162,162,160,158,156,153,152,152,154,154,151,150,150,150,148,146,147,151,152,153,154,157,160,161,160,156,152,148,146,147,149,148,147,147,149,151,152,156,158,155,156,160,161,158,156,157,162,165,166,167,169,169,167,168,169,164,162,164,167,166,163,161,159,157,154,155,157,160,163,165,164,160,158,159,161,161,160,162,167,170,171,172,174,173,170,165,163,162,163,165,165,164,166,167,165,164,164,165,164,163,162,164,167,168,168,167,166,167,null],[131,131,131,131,131,133,135,135,132,130,131,132,134,135,136,137,137,135,131,129,130,133,136,137,137,135,134,135,136,134,135,139,137,136,137,140,140,137,134,135,137,135,132,131,132,133,134,136,136,138,140,139,134,134,137,139,141,143,143,141,138,139,142,141,139,140,138,135,133,136,139,140,138,137,137,139,140,140,139,141,143,143,143,143,142,141,139,140,142,142,141,140,140,141,142,143,141,139,138,140,144,146,146,147,147,146,146,146,146,144,144,143,140,139,140,143,143,142,143,144,144,143,142,143,144,144,145,146,145,142,139,139,137,135,133,134,138,139,137,135,136,139,138,134,131,130,130,131,132,134,135,134,134,136,138,138,138,139,137,134,134,136,138,138,138,136,135,134,134,134,135,136,136,136,137,139,138,137,138,140,140,140,140,140,142,143,142,141,141,144,147,147,145,144,145,145,144,144,143,141,142,144,146,146,146,147,147,145,143,141,140,139,139,139,141,141,141,140,139,139,141,144,147,147,147,147,147,146,147,148,149,149,150,150,149,147,145,145,144,142,141,143,144,143,144,146,146,146,146,148,149,149,149,149,150,152,153,154,155,155,155,154,154,152,149,147,147,148,150,151,152,153,154,156,157,157,155,155,156,158,159,160,160,160,159,159,160,161,160,157,155,153,153,154,152,150,152,154,155,153,153,155,156,154,153,154,157,158,156,156,156,156,155,154,154,156,156,155,153,153,153,151,149,148,149,149,148,147,149,151,152,152,153,153,153,153,154,153,149,146,148,151,152,152,152,154,158,160,159,158,158,159,160,162,160,158,157,157,159,157,155,153,151,150,151,151,149,151,155,156,156,155,154,154,152,150,150,151,153,153,153,152,152,153,155,157,158,157,154,153,154,155,156,154,155,159,160,155,153,153,156,157,159,161,160,157,155,154,153,154,157,159,158,154,152,151,151,149,147,149,153,156,155,154,156,159,161,159,155,152,149,146,146,148,150,150,148,148,148,149,153,155,155,158,161,160,157,157,159,161,160,161,166,166,164,163,166,170,165,163,166,169,169,166,164,160,156,154,156,159,161,163,164,165,161,159,160,163,163,161,160,163,165,168,173,175,174,172,169,167,167,169,170,168,167,168,170,168,167,167,167,166,164,164,166,168,169,168,166,166,166,null],[133,134,134,133,132,134,134,134,134,134,132,135,136,135,134,135,135,135,132,131,132,133,135,136,136,134,132,133,134,133,134,137,137,137,138,139,139,137,137,139,138,135,133,133,133,131,131,134,137,140,141,140,137,136,138,141,140,138,139,140,138,138,139,139,140,140,138,135,133,135,138,138,137,136,137,138,138,138,138,140,141,142,142,143,143,140,138,139,142,142,141,139,139,141,143,143,142,139,138,141,143,144,146,146,146,146,147,147,146,144,143,142,139,138,139,141,141,141,143,145,144,143,143,143,142,141,144,145,143,141,140,140,139,136,134,133,136,137,135,134,136,139,140,137,134,131,130,131,133,135,136,136,137,138,139,137,137,137,135,131,132,134,134,134,135,136,136,137,137,137,136,136,136,136,137,139,139,140,141,142,143,143,143,142,143,146,145,143,144,145,145,144,143,142,142,143,142,142,141,139,140,144,146,146,147,146,145,143,143,142,141,140,140,141,141,142,143,142,141,141,143,145,147,149,149,149,149,148,148,148,149,150,148,148,147,146,145,144,143,141,141,143,143,141,143,146,147,147,148,149,151,152,153,153,154,155,155,154,153,153,153,152,152,151,148,148,149,149,148,149,152,155,155,156,156,156,156,156,155,156,156,157,158,158,158,159,158,157,158,157,156,156,157,157,154,152,153,156,157,156,154,154,155,155,154,154,155,155,155,154,153,152,151,151,153,155,155,153,150,150,150,150,149,149,149,150,151,151,152,153,153,152,152,152,151,148,148,149,148,147,149,152,152,152,152,155,159,160,158,157,159,160,162,163,160,157,158,160,161,159,157,156,153,151,151,151,151,152,155,158,158,156,153,152,154,153,151,151,153,154,154,153,154,157,157,155,154,156,155,155,158,159,157,155,156,160,159,155,155,156,157,158,159,161,161,157,155,154,155,158,159,160,159,157,155,153,152,149,147,148,153,158,159,157,157,159,160,158,154,151,150,149,148,150,154,155,153,151,148,147,149,152,155,157,159,157,156,159,160,159,155,156,161,161,159,159,164,169,167,167,170,171,170,168,167,163,159,156,156,158,159,160,163,165,163,160,161,164,165,164,162,163,163,166,171,173,171,170,171,171,172,172,174,173,169,169,172,172,171,169,169,168,167,169,171,171,170,168,167,166,165,null],[133,134,135,135,135,135,134,134,135,134,134,137,139,136,134,135,134,133,134,133,133,131,132,134,134,132,132,132,132,132,133,134,135,137,137,138,139,139,139,141,139,136,135,133,131,129,129,132,136,138,139,140,140,140,140,142,140,135,136,139,138,136,135,137,139,139,138,136,134,134,135,136,137,138,138,138,137,137,139,141,141,141,141,143,143,141,138,138,141,142,142,139,139,140,141,143,143,140,138,141,143,144,145,145,146,146,147,147,146,145,143,142,140,138,137,139,141,142,143,144,143,143,144,145,144,142,143,144,142,141,140,139,139,138,136,134,135,134,132,132,135,138,139,137,135,133,131,131,132,133,134,135,137,138,137,136,135,134,131,130,132,133,133,132,134,136,138,138,139,141,141,141,139,137,137,139,140,141,142,143,144,144,143,142,143,145,146,147,147,145,143,142,142,141,140,140,141,142,142,141,143,147,148,147,147,147,145,144,143,141,141,141,142,143,143,144,145,146,145,144,144,145,145,146,148,151,151,150,150,150,151,151,149,146,145,144,143,143,142,143,144,145,144,143,144,145,146,147,149,152,153,153,153,153,154,155,154,152,149,149,150,152,153,152,148,148,150,150,149,148,150,153,153,153,153,153,155,155,154,153,154,156,157,157,157,156,155,154,155,155,156,157,159,158,155,153,152,154,155,156,155,154,154,156,156,155,155,154,154,153,153,152,150,150,152,154,153,152,151,151,150,149,150,150,151,152,154,155,155,154,153,153,153,153,151,147,146,149,149,148,148,150,153,153,151,151,153,156,156,158,160,161,161,161,158,157,159,161,161,160,158,156,154,154,153,154,154,153,154,156,158,156,153,153,156,156,152,151,153,157,157,157,158,160,159,155,153,154,156,158,161,161,157,156,157,159,158,156,158,160,159,159,162,163,162,159,157,157,160,159,157,157,159,160,157,154,151,148,146,148,151,156,158,159,160,160,160,158,154,149,149,152,150,152,157,159,156,152,148,147,147,150,154,155,156,154,154,156,157,156,155,156,159,160,160,162,165,169,168,169,171,170,167,167,167,165,162,158,157,158,161,162,164,167,165,162,161,162,165,166,166,167,165,165,169,172,171,168,169,173,175,173,174,174,170,169,172,173,172,168,168,171,173,174,172,170,167,164,164,164,163,null],[134,134,136,137,137,135,134,133,134,133,135,138,139,137,136,136,134,134,135,134,132,131,131,133,132,131,131,131,131,132,133,133,133,134,137,138,139,140,141,141,139,137,136,133,129,128,130,132,135,135,136,138,141,141,140,141,139,134,135,137,138,136,133,135,138,138,138,136,134,133,134,135,138,140,140,139,138,138,140,142,142,141,141,142,142,141,138,138,140,141,141,140,140,140,140,141,142,139,138,141,144,145,143,143,144,145,145,144,145,146,144,143,142,139,137,137,140,141,142,142,141,142,144,146,145,144,143,142,141,141,140,139,139,138,138,137,135,133,132,132,133,135,137,137,135,133,131,130,130,131,132,133,135,135,135,134,133,132,130,130,132,134,134,134,135,137,138,138,140,143,145,144,142,140,139,139,140,140,142,143,143,142,141,141,141,142,144,147,147,143,141,141,143,141,138,138,141,144,144,144,146,148,147,146,147,148,147,145,143,140,139,141,142,144,145,147,148,149,148,147,146,146,146,146,147,151,152,151,151,151,151,151,150,148,144,141,142,143,144,145,147,147,147,147,146,146,146,148,150,153,154,152,151,152,154,153,151,150,149,149,150,152,154,153,149,147,149,151,152,150,149,150,151,151,152,151,152,154,154,153,154,156,157,157,155,152,152,154,154,154,154,156,158,158,156,154,153,152,154,155,156,155,156,158,157,158,158,156,154,154,155,155,153,151,153,154,153,152,152,154,153,151,151,151,152,154,157,158,157,155,154,154,154,152,150,148,149,151,151,149,148,149,152,154,152,148,149,153,156,158,160,160,161,161,160,159,160,160,160,159,157,154,154,157,158,157,156,153,154,156,157,155,153,154,158,157,153,150,152,156,158,159,161,162,159,157,155,156,157,159,161,162,159,158,159,160,159,158,160,161,159,159,161,163,163,161,160,161,162,158,153,153,157,159,157,153,150,148,148,149,149,152,154,158,162,162,159,157,153,149,149,153,153,155,159,160,156,151,150,151,150,150,151,152,152,152,153,153,154,156,158,159,161,162,163,165,167,169,168,168,169,166,163,163,165,164,161,158,158,160,163,164,166,167,166,164,160,159,163,165,168,172,170,169,170,172,170,166,166,172,173,171,171,170,168,168,170,172,171,168,168,172,176,177,173,169,165,162,162,162,161,null],[135,136,138,138,137,134,133,132,132,133,135,136,137,138,137,136,134,135,136,134,132,132,132,131,130,129,130,129,130,131,134,134,132,132,136,138,139,140,140,139,137,136,135,133,129,129,130,132,134,134,135,136,139,140,139,138,136,134,135,136,135,135,134,134,135,136,136,134,131,133,136,137,138,139,140,140,139,139,141,142,142,141,140,141,141,140,139,139,139,139,140,141,142,142,141,140,139,138,139,141,144,145,141,140,141,143,143,142,144,147,145,142,142,141,139,136,136,139,140,140,140,141,143,144,143,142,141,141,140,141,141,140,139,137,137,137,134,133,134,133,132,132,134,137,135,133,131,129,129,131,132,134,135,134,132,132,133,133,131,132,134,136,136,136,136,138,138,137,139,142,143,143,143,143,142,140,138,139,140,142,141,139,138,140,140,140,142,144,143,140,139,141,143,140,137,138,142,145,145,144,144,144,143,143,146,148,147,146,143,139,137,139,141,143,145,147,148,148,149,150,150,151,151,150,150,151,152,151,150,149,148,150,152,149,143,140,141,143,145,147,149,148,148,150,149,147,147,149,150,151,152,151,151,152,153,152,150,151,153,153,152,153,153,152,149,146,147,151,153,152,150,150,152,153,153,151,151,154,155,156,156,155,156,156,154,151,152,153,153,153,154,156,157,158,157,156,156,156,156,155,155,156,158,159,159,159,161,160,158,157,158,159,156,154,154,155,154,152,152,156,157,155,152,151,153,157,160,161,159,157,155,153,152,151,150,150,152,154,153,151,150,150,151,155,155,151,151,153,155,157,158,159,162,165,165,163,160,160,159,158,155,154,156,159,161,159,157,154,155,158,158,155,154,155,157,156,154,151,150,153,155,158,163,164,161,159,160,160,158,157,160,162,163,161,160,161,162,161,161,161,159,156,157,160,162,162,161,161,160,157,152,150,152,154,153,151,150,151,153,152,150,152,154,156,161,161,156,155,154,151,151,154,156,158,161,160,156,152,154,158,156,151,150,150,149,151,153,155,156,157,159,162,164,163,162,163,165,167,166,165,165,164,163,162,161,160,158,157,158,160,162,163,164,164,165,165,160,158,161,164,168,173,175,173,170,169,168,167,167,169,168,167,166,165,165,166,168,170,171,171,169,169,174,177,175,173,169,164,162,162,163,null],[137,138,140,137,134,133,133,132,131,132,134,133,133,136,136,134,133,135,136,134,132,132,131,130,130,130,130,129,130,132,134,134,132,132,135,137,137,138,139,138,135,135,135,134,130,129,130,132,134,135,135,134,135,137,138,136,135,135,134,134,133,134,135,133,132,132,133,133,131,133,137,138,138,138,139,140,140,140,141,141,140,140,139,140,140,140,140,139,138,137,137,138,142,144,144,142,139,137,138,141,143,142,138,136,139,142,142,140,142,146,145,142,141,142,140,135,134,137,138,138,139,141,143,142,141,140,139,139,139,139,141,140,138,137,137,136,133,134,136,135,133,131,133,136,135,132,131,131,132,133,134,135,135,133,131,132,134,134,134,134,136,137,136,135,136,136,137,137,139,140,139,139,141,144,143,140,138,138,138,138,139,138,138,140,141,141,141,140,138,138,140,141,140,137,136,139,144,146,144,143,141,140,140,142,144,145,146,146,143,137,136,140,142,143,144,145,147,149,151,152,152,153,153,152,151,152,151,149,147,145,146,148,150,148,143,140,140,142,145,147,148,148,148,149,148,147,148,148,149,150,150,149,149,150,150,150,151,153,156,155,154,153,152,149,147,145,146,149,151,150,149,150,152,153,152,151,152,153,155,156,156,155,153,153,153,151,150,151,153,155,156,155,155,157,158,159,158,157,156,153,153,156,159,159,158,158,161,162,161,160,160,160,157,154,153,154,155,153,153,156,157,156,154,154,156,160,163,164,161,157,155,152,150,152,153,152,152,154,154,153,152,151,152,156,158,156,155,155,154,155,156,158,162,167,168,165,160,158,158,156,154,154,156,159,161,161,158,155,155,158,158,155,154,155,156,156,155,152,152,155,156,158,163,165,163,161,163,165,162,158,158,162,165,164,161,161,163,164,162,159,158,155,155,158,162,161,158,157,157,155,152,150,150,151,150,149,150,155,159,156,152,153,155,158,160,157,153,155,157,155,154,155,157,158,160,159,157,155,158,162,157,151,152,152,150,150,153,156,156,156,156,161,164,163,161,162,163,163,161,161,165,166,164,162,160,160,160,159,159,159,159,160,162,163,166,165,161,159,162,166,171,175,176,174,171,169,167,169,171,169,167,167,169,168,166,163,164,168,172,173,169,167,172,175,175,173,171,169,165,164,166,null],[136,138,139,136,133,133,133,133,132,131,132,130,130,133,134,133,133,135,136,134,131,129,130,131,132,132,131,131,131,133,134,133,133,133,135,136,135,136,138,138,135,133,134,133,129,128,130,132,135,136,135,133,133,135,138,138,137,135,133,132,132,133,134,133,131,130,131,133,134,134,137,138,138,138,138,139,141,142,141,139,138,139,139,139,140,140,140,138,137,136,136,137,140,144,144,144,141,138,137,139,140,139,136,135,137,141,142,141,143,144,144,142,141,141,139,136,135,136,136,136,138,142,143,141,139,139,140,140,138,138,140,138,137,138,137,135,133,134,137,136,134,132,132,134,134,132,132,135,137,136,136,136,135,134,133,134,135,136,136,136,136,136,134,134,134,134,135,136,138,138,135,136,140,141,140,139,138,137,136,136,138,139,140,140,143,144,141,138,137,139,141,140,136,134,136,141,144,144,142,141,139,137,138,139,140,141,143,145,142,136,137,143,145,144,143,143,146,150,151,150,151,151,150,151,151,151,150,147,144,143,146,147,147,145,142,140,140,143,144,145,146,147,147,146,145,146,147,148,148,149,148,147,147,147,147,148,151,154,155,155,154,153,151,148,145,143,144,147,147,145,145,148,150,150,149,150,151,153,153,154,156,154,151,152,152,151,149,150,154,156,156,154,154,156,159,160,158,155,153,151,152,156,158,157,155,157,160,162,162,160,161,161,157,153,151,153,156,156,155,156,157,158,158,160,162,164,166,165,162,158,154,151,151,154,156,154,151,153,155,155,154,152,153,157,160,158,156,155,155,155,155,157,161,165,166,164,159,156,156,155,154,155,155,157,160,161,160,155,154,157,158,155,153,154,157,158,157,153,154,158,158,159,161,164,165,164,165,166,165,161,159,161,164,165,163,160,161,163,160,157,156,155,155,159,161,157,153,153,154,153,150,150,152,151,149,147,149,155,159,158,155,154,156,160,160,155,153,155,158,158,156,155,156,157,157,159,160,159,160,161,156,153,156,157,153,151,152,154,156,156,155,159,164,161,158,161,161,158,156,160,166,168,165,163,162,164,164,162,159,158,159,160,161,164,167,167,163,162,165,171,175,176,175,173,173,171,168,171,173,170,168,169,172,172,167,162,163,168,172,171,167,166,170,173,172,170,169,170,167,165,166,null],[135,137,138,137,135,134,133,133,133,132,129,128,129,131,132,131,133,136,137,135,131,128,130,133,133,132,133,133,132,133,133,134,134,135,134,134,135,136,139,139,136,132,131,130,127,127,129,132,134,134,133,132,133,135,137,138,138,135,132,131,131,132,134,133,133,132,133,134,136,136,136,137,138,139,139,140,141,142,140,138,137,138,139,139,138,138,138,137,136,137,137,138,139,141,142,143,142,140,138,138,138,138,137,136,138,140,141,143,144,143,142,140,139,139,139,138,135,133,133,135,138,142,143,140,139,140,141,141,139,138,138,137,136,137,136,134,133,135,137,136,133,132,132,132,131,131,135,138,140,139,137,135,134,133,133,134,135,136,136,135,134,134,133,134,133,133,134,135,136,136,135,135,137,137,136,136,136,136,136,138,140,140,139,140,142,141,138,136,137,139,140,137,134,133,137,140,139,138,138,138,138,137,136,136,136,137,139,140,138,137,140,146,148,146,145,145,146,146,146,147,149,148,147,148,150,149,148,146,144,143,146,147,145,143,141,140,142,144,143,143,144,145,146,146,146,147,147,147,147,146,146,146,147,147,148,149,151,152,153,155,155,153,151,148,144,144,145,145,144,143,143,144,145,147,149,150,151,151,151,153,155,154,151,150,151,151,150,151,153,154,154,154,155,157,159,160,157,154,152,151,152,155,157,156,155,157,160,161,160,160,160,159,157,154,154,156,158,159,158,159,159,161,163,165,167,167,165,164,162,158,155,152,151,155,157,155,153,152,154,156,156,154,153,155,158,158,155,154,157,158,156,157,161,165,165,161,158,155,155,155,156,157,155,156,160,162,160,157,155,156,157,156,155,155,158,159,157,154,154,157,158,157,157,160,165,167,167,166,164,163,162,162,162,165,165,161,158,159,157,156,154,153,155,158,158,154,151,151,152,151,150,153,155,153,150,148,148,150,151,155,156,155,156,159,161,157,154,154,155,156,155,155,155,155,157,160,162,161,161,160,158,157,159,159,157,154,152,152,156,159,158,161,164,159,154,157,157,154,156,161,166,168,166,165,166,167,166,162,158,160,163,162,161,164,169,170,168,167,170,173,175,176,175,174,176,173,170,171,172,169,166,164,166,166,163,162,165,169,170,168,164,162,165,168,167,166,166,167,164,162,163,null],[134,135,135,136,136,135,134,134,135,133,129,128,128,130,131,131,133,135,136,133,130,128,131,134,132,131,133,133,131,132,133,134,135,135,133,133,136,137,140,140,138,134,131,130,129,128,129,132,133,131,130,131,133,136,137,137,137,135,132,130,131,133,135,135,136,136,136,135,135,136,137,138,139,140,141,141,140,139,138,136,136,137,138,138,137,136,136,136,136,137,138,140,139,139,141,142,142,139,137,136,137,138,140,141,141,141,142,145,144,142,141,140,138,137,139,138,135,132,134,137,140,143,142,139,138,141,143,143,141,140,139,138,136,135,134,133,133,133,133,133,131,131,131,131,129,131,136,138,138,138,137,135,134,132,131,133,135,136,136,134,132,133,133,134,135,135,136,136,136,135,135,135,136,135,134,134,133,133,136,138,139,137,135,136,137,136,134,133,135,137,136,135,133,133,135,135,134,133,135,136,136,136,136,136,136,136,137,137,137,139,143,146,147,146,146,146,145,142,141,144,147,146,144,146,149,148,147,146,144,144,147,148,145,142,140,142,144,145,143,141,142,143,146,148,148,147,146,144,144,144,145,146,148,149,150,151,151,152,153,155,155,153,152,150,147,145,145,143,143,144,144,142,143,145,149,150,151,151,152,153,154,154,151,149,149,151,152,152,152,153,155,155,155,157,157,157,155,154,154,153,153,155,157,156,155,156,158,159,159,160,160,158,157,157,159,160,160,161,161,162,163,164,165,166,166,166,164,162,160,157,154,152,153,155,157,156,154,152,152,155,158,156,153,152,154,156,155,155,160,160,158,158,162,167,165,160,156,155,156,158,159,157,156,158,162,162,159,157,157,156,156,157,157,157,159,159,157,154,154,155,155,154,154,157,162,165,165,165,164,165,165,163,162,164,165,160,156,155,154,154,153,152,153,155,154,152,152,153,152,151,152,156,156,152,150,150,151,149,147,150,154,154,157,159,162,160,156,154,155,154,156,158,157,156,158,161,164,163,162,159,158,158,159,159,157,155,152,151,156,160,160,160,161,156,152,154,154,153,156,160,162,164,165,166,167,168,165,160,159,163,167,164,161,162,168,171,170,171,173,172,171,173,174,174,175,174,171,169,169,168,164,159,158,158,160,164,167,168,168,167,163,159,160,164,167,168,167,166,162,159,158,null],[135,136,134,134,135,135,136,136,135,133,131,129,128,129,132,134,134,133,133,131,128,127,131,134,131,129,130,131,131,132,134,134,134,133,132,134,137,139,140,139,138,137,134,133,133,130,129,130,131,129,129,130,134,136,136,136,136,135,131,129,132,134,135,137,138,139,138,136,136,136,138,140,141,141,141,140,139,137,136,136,136,137,137,136,136,135,135,136,138,138,138,140,141,140,141,142,141,137,134,135,137,139,142,144,144,144,144,144,142,141,140,140,139,137,136,135,134,134,137,141,142,144,143,138,136,140,142,142,142,141,141,140,137,134,133,133,132,130,129,129,130,131,130,129,129,132,136,136,135,136,137,137,135,132,130,131,134,136,136,133,133,134,134,135,137,139,139,138,138,137,136,136,136,135,133,132,132,132,133,134,134,132,131,132,132,132,132,131,132,133,133,133,133,133,132,132,132,133,134,134,134,136,139,140,139,137,137,138,140,142,144,144,143,141,141,144,144,141,140,142,145,145,143,144,147,148,146,144,142,144,147,147,143,140,140,144,145,144,141,139,139,141,146,150,150,146,143,142,142,145,147,149,150,151,152,153,153,153,154,155,155,153,152,151,149,147,145,143,143,145,146,145,145,145,147,150,152,153,153,153,153,152,151,149,149,151,152,152,153,156,158,156,155,156,154,152,153,155,155,154,154,155,156,156,155,155,156,159,161,160,159,158,158,160,161,161,160,160,161,162,164,165,164,163,162,163,163,161,158,156,153,152,154,156,157,157,155,152,151,154,159,159,154,152,153,154,156,159,162,162,160,160,164,167,164,159,155,156,160,162,160,156,156,161,163,162,159,158,157,155,156,158,158,158,159,158,156,155,156,155,154,153,155,157,158,160,162,165,167,167,164,163,163,163,161,157,155,154,152,152,153,153,152,152,153,153,157,157,153,152,156,157,154,149,148,152,156,155,151,150,152,153,157,161,162,159,155,157,159,157,159,163,161,157,158,163,167,166,162,159,157,157,157,156,155,154,153,153,154,156,156,156,156,153,152,156,156,155,157,158,158,160,161,162,165,167,164,161,161,165,168,166,163,163,166,168,168,171,173,169,166,170,172,170,170,172,172,169,167,168,165,160,156,156,161,166,167,167,167,168,164,159,158,163,169,171,170,168,164,160,157,null],[137,137,135,133,133,135,136,135,134,131,129,128,129,130,133,134,133,132,131,131,129,128,129,131,130,127,128,131,133,133,133,134,134,133,132,135,138,140,139,137,136,136,135,136,135,132,130,129,128,128,128,131,136,136,135,134,133,132,128,128,133,135,135,136,137,138,139,139,138,138,139,139,139,140,140,140,137,136,137,136,136,135,134,135,137,137,136,136,139,139,140,140,141,142,141,141,140,136,133,135,137,139,141,143,144,144,144,142,140,140,140,141,139,136,134,133,134,136,139,142,143,143,140,136,135,138,140,141,142,142,141,138,135,134,134,134,132,130,130,130,131,131,130,130,131,134,134,134,134,135,137,137,135,132,130,131,133,135,135,134,133,134,135,136,139,140,140,139,140,139,138,137,136,135,133,131,131,131,131,131,131,131,130,130,129,129,131,132,133,132,132,132,133,133,133,133,134,135,136,136,136,139,141,143,142,140,140,140,141,143,144,143,141,138,139,143,144,141,140,142,144,143,142,143,146,147,146,143,141,142,143,143,142,140,141,144,143,142,142,141,140,140,145,149,148,143,141,141,144,148,150,151,152,153,153,154,153,153,153,153,152,151,151,150,148,146,145,143,143,146,147,147,147,147,148,151,153,153,153,153,152,150,150,148,148,149,151,153,156,157,156,154,154,156,153,149,151,154,153,152,153,154,154,155,155,156,157,160,161,160,157,157,159,160,160,159,157,157,158,159,161,163,162,160,159,160,161,161,159,156,152,152,155,157,158,158,157,154,152,153,157,158,156,155,155,156,158,161,165,165,162,162,163,165,163,158,156,158,161,163,161,157,158,162,162,161,161,159,157,154,156,160,161,159,158,158,157,157,157,155,153,153,157,159,158,159,162,167,169,167,163,162,163,162,158,155,154,153,153,154,155,154,152,153,155,157,159,158,153,154,158,156,151,147,148,152,157,158,156,154,153,152,155,160,160,157,154,158,163,161,162,164,161,158,160,164,167,167,163,160,159,158,157,154,152,153,155,157,154,152,153,154,153,153,156,159,161,160,159,158,158,158,158,159,163,165,164,163,163,165,167,166,166,168,166,164,165,170,173,168,165,171,173,169,167,168,172,171,167,167,167,164,159,158,162,165,165,164,165,167,162,158,159,163,167,169,169,169,167,164,160,null],[136,136,135,134,134,134,135,134,132,128,126,128,131,131,132,133,132,131,130,130,129,129,129,129,129,128,128,131,133,133,133,134,135,135,134,135,138,140,139,135,132,132,133,134,133,132,131,129,127,128,129,131,135,136,133,131,130,128,127,129,133,134,134,135,136,137,139,141,141,140,139,137,137,137,138,138,136,137,138,137,134,133,134,137,139,140,138,137,138,141,142,141,141,141,140,141,141,137,134,135,137,139,140,141,143,143,141,139,138,139,140,141,139,136,134,133,133,136,139,141,142,140,137,134,136,138,139,138,140,141,140,136,134,135,136,136,133,131,131,131,131,130,130,131,133,133,132,132,134,136,136,136,134,132,130,130,131,132,134,134,133,132,134,137,139,138,137,138,139,139,139,138,137,135,132,130,130,131,131,132,133,133,132,130,128,129,131,134,135,134,132,131,132,133,134,134,134,135,137,138,139,141,142,143,143,142,141,140,140,141,142,142,140,139,140,143,143,140,140,142,142,141,142,144,145,146,144,142,142,141,140,139,140,141,141,141,140,140,143,144,143,142,144,146,146,143,141,144,148,150,151,154,155,154,152,152,152,151,151,150,149,148,148,146,144,143,144,143,144,146,148,149,148,149,150,151,150,149,151,152,150,148,148,147,148,149,151,153,155,154,151,151,154,155,152,149,149,150,151,151,151,151,151,153,156,158,158,160,160,158,155,155,157,158,157,156,155,156,156,156,157,160,159,159,160,161,162,163,162,158,155,153,154,157,159,159,158,156,154,154,157,158,159,159,160,161,162,165,168,169,166,164,163,164,163,159,158,158,160,162,162,159,159,162,162,162,162,160,157,155,158,162,162,159,158,158,158,159,159,156,154,155,157,159,160,162,164,168,168,166,164,164,163,160,157,155,153,153,156,158,157,155,155,156,158,159,158,156,154,155,158,154,150,148,150,153,155,157,159,159,156,154,155,158,159,156,154,157,162,164,164,161,158,159,163,166,165,164,162,160,160,159,156,153,152,152,156,159,157,153,153,155,154,156,159,161,164,164,162,161,161,160,158,159,162,165,165,164,165,166,167,167,169,172,169,164,163,168,171,168,167,173,174,170,166,167,170,170,167,165,167,167,163,160,161,162,163,163,163,162,158,156,160,163,164,164,164,166,168,167,163,null],[134,133,134,135,135,133,133,132,131,129,128,129,130,128,129,131,131,130,128,127,128,129,130,131,132,131,129,130,131,132,133,134,136,137,136,136,137,139,138,134,131,130,131,132,130,131,130,128,127,129,130,131,131,132,131,129,127,128,129,131,131,132,133,135,136,136,139,141,141,141,140,138,136,136,136,136,135,138,140,136,132,133,137,139,140,140,139,138,139,141,142,141,140,139,139,142,143,138,134,135,139,142,141,141,143,141,138,137,137,137,140,141,141,139,136,133,133,136,139,142,143,139,135,134,137,140,139,136,137,140,140,137,135,137,137,135,134,131,128,128,129,129,130,132,133,132,131,132,134,135,135,134,134,132,131,130,130,132,134,134,132,131,132,135,137,136,134,134,135,136,137,139,139,134,130,128,128,130,131,133,135,136,134,132,131,131,133,135,136,135,132,131,131,131,132,132,132,133,135,138,140,141,141,141,141,139,138,137,138,139,140,140,140,140,141,141,140,139,140,141,140,140,143,146,144,142,140,140,143,144,141,138,138,139,140,139,139,139,141,143,144,145,146,146,147,146,145,146,148,149,152,157,159,155,149,147,148,150,149,149,148,147,145,142,141,140,141,142,144,147,149,149,148,147,148,147,146,147,149,150,147,146,146,147,149,152,152,151,151,150,150,152,154,151,149,148,147,148,150,150,149,149,151,154,157,157,156,157,158,156,154,153,154,155,154,154,156,158,158,155,156,158,158,160,163,165,165,165,164,161,157,155,155,157,159,161,160,157,156,156,159,161,161,161,163,166,168,171,173,174,171,168,166,167,166,163,160,158,158,162,163,162,162,164,163,162,161,159,157,156,160,164,162,158,158,158,159,162,162,159,158,158,157,157,160,163,165,166,166,166,168,166,161,160,159,158,154,153,159,162,158,156,156,158,158,157,156,156,156,157,156,153,149,149,153,156,156,157,158,160,159,157,158,160,160,157,156,157,160,165,165,162,159,160,165,166,162,158,157,158,158,157,154,154,154,153,155,159,160,159,156,156,157,157,157,160,162,164,165,164,164,164,162,160,161,165,166,166,167,169,169,169,170,171,169,166,164,165,166,167,168,171,172,172,169,168,167,167,165,163,164,166,164,160,158,161,165,165,162,159,156,155,158,162,164,162,161,163,166,166,163,null],[132,132,135,135,135,133,131,131,132,132,131,130,128,125,127,129,130,128,126,126,128,129,131,132,134,134,133,131,131,132,133,133,135,136,136,135,136,136,136,133,131,131,132,131,130,130,129,127,127,130,133,132,129,128,129,129,129,131,133,134,134,133,132,135,136,136,137,139,140,141,141,140,138,138,137,134,133,136,139,135,132,135,139,139,139,139,140,140,140,141,141,140,138,137,136,138,140,136,133,136,140,142,142,142,142,140,138,137,136,136,138,141,142,140,137,135,136,139,142,143,142,139,137,137,140,140,137,135,137,140,140,137,136,139,138,135,134,130,126,125,127,129,132,133,133,132,131,132,134,134,133,133,133,133,131,130,130,132,134,134,133,130,131,133,134,133,132,133,134,135,135,137,137,133,129,128,128,129,131,133,136,136,135,135,135,136,136,137,138,137,134,132,132,132,133,133,132,131,132,136,138,138,138,138,137,135,133,133,134,135,137,139,140,140,139,138,138,140,141,140,139,141,144,145,142,139,138,139,143,144,141,137,137,137,138,139,139,139,139,140,144,146,146,146,148,149,149,148,148,149,153,158,159,154,148,144,146,149,149,148,146,144,142,141,141,141,140,141,143,145,147,147,146,146,146,145,144,145,147,146,146,147,148,149,150,152,151,149,148,149,152,153,152,148,146,146,147,149,151,151,149,149,151,154,155,153,153,154,155,155,154,155,154,153,153,155,158,161,160,158,158,159,159,161,163,165,167,167,166,163,158,155,157,158,160,162,161,159,156,158,162,163,161,162,165,170,172,174,176,176,175,172,170,170,169,167,162,159,160,164,167,166,167,168,164,161,159,159,159,158,160,163,162,159,158,158,160,162,163,161,161,159,158,157,159,162,164,164,165,167,170,168,162,162,162,159,155,155,162,164,157,155,157,159,158,156,158,160,158,158,156,153,150,150,154,157,158,158,160,160,159,160,161,162,160,159,159,160,162,167,168,166,163,163,167,166,161,158,157,158,156,154,153,155,159,157,155,157,160,163,161,160,159,157,156,158,161,162,162,163,164,166,165,161,160,163,165,167,170,171,171,169,168,167,167,166,163,163,165,167,167,166,168,171,171,167,165,165,166,162,161,162,161,158,156,160,166,167,163,158,155,155,155,158,160,160,160,162,165,165,162,null],[131,133,135,134,133,132,131,131,134,135,133,130,128,127,127,128,129,127,125,127,131,130,130,132,133,135,135,134,133,134,134,132,134,135,135,135,135,133,132,132,132,132,133,132,132,130,129,126,127,130,133,133,129,128,130,132,134,134,135,137,138,136,134,135,136,136,135,136,139,141,142,140,140,140,137,134,132,134,136,135,134,137,138,139,139,140,141,141,140,140,140,139,137,135,133,134,135,133,133,136,139,140,141,141,141,139,138,138,136,135,136,139,141,138,135,135,139,143,143,141,140,139,140,141,140,138,134,134,138,141,140,137,137,139,138,136,133,130,128,126,128,131,133,134,136,135,133,132,132,132,131,131,132,132,132,131,130,131,133,133,131,130,130,132,133,132,131,133,134,135,134,133,133,132,131,131,131,131,132,133,134,135,136,138,140,142,141,140,140,140,137,135,135,137,139,138,136,133,132,134,135,134,134,134,134,133,132,131,131,133,135,139,140,139,135,134,137,141,140,137,139,142,143,141,138,137,136,138,141,141,138,137,138,138,138,139,139,139,138,139,142,144,146,146,147,149,151,152,150,151,153,155,155,152,148,145,145,147,147,145,143,142,142,143,145,145,144,142,142,143,144,144,143,145,145,144,143,144,144,144,147,149,150,149,148,149,150,149,149,151,155,153,149,147,146,147,149,151,153,153,151,151,152,153,152,151,151,151,151,153,155,158,157,156,155,156,159,160,161,160,160,161,161,161,161,162,165,166,167,165,158,155,157,160,161,162,163,161,157,156,160,162,161,162,166,170,173,173,175,176,176,175,173,171,170,167,163,161,164,168,170,170,171,170,164,159,159,159,160,159,160,163,164,163,160,159,160,162,163,162,160,159,160,160,159,161,163,164,166,168,170,169,165,164,163,159,157,159,163,162,156,154,157,160,160,158,161,162,160,158,157,153,150,150,153,157,159,161,162,160,158,161,163,161,159,161,163,164,165,168,168,168,166,167,168,165,161,161,161,159,156,153,153,157,161,162,159,158,160,163,165,164,161,157,156,159,160,159,158,160,163,166,167,162,161,162,164,167,172,173,170,167,166,166,165,163,162,163,165,166,165,164,167,170,169,166,165,167,168,164,161,160,159,157,157,160,165,166,163,157,155,155,153,154,155,155,157,160,164,164,159,null],[131,132,133,134,133,131,130,132,135,135,133,132,131,130,130,129,127,126,126,130,132,131,130,131,132,133,134,135,135,136,135,133,134,136,136,135,134,130,129,131,131,131,132,133,133,132,129,126,127,129,131,130,129,129,132,135,136,135,135,136,139,139,137,137,138,137,135,136,138,141,141,138,136,136,135,133,131,133,136,137,137,138,138,139,140,141,142,141,139,140,141,140,138,135,133,134,136,135,134,138,139,140,139,139,139,138,138,136,134,135,137,138,137,135,134,135,137,140,141,139,139,139,140,140,139,137,132,132,137,141,140,138,137,137,136,135,132,129,128,128,129,132,134,135,137,136,132,130,130,130,129,129,128,129,130,130,130,130,131,130,128,127,128,130,131,131,132,133,133,132,130,130,131,131,132,133,135,135,134,135,136,136,138,142,146,146,143,140,140,141,140,137,138,142,144,144,141,137,134,133,133,132,132,132,134,135,136,134,133,133,134,136,137,136,133,133,136,138,136,135,137,140,141,139,137,135,135,137,139,139,138,138,139,138,137,138,139,138,138,138,140,143,146,147,147,149,152,154,152,151,151,150,149,147,145,143,144,145,144,143,143,144,146,148,150,151,149,146,145,145,144,144,144,145,144,144,144,142,141,143,147,149,149,147,147,149,151,151,151,152,155,153,149,148,148,149,151,153,153,153,152,152,152,153,151,151,151,151,151,152,155,157,159,159,158,157,158,159,159,159,161,162,163,161,160,161,162,164,166,164,158,153,155,158,160,163,164,163,158,155,157,160,161,162,164,168,172,174,174,174,176,177,176,171,168,167,166,166,168,171,172,173,173,170,164,159,159,160,161,162,163,165,168,169,165,162,162,164,165,162,159,158,162,163,160,162,164,165,168,172,173,170,167,163,162,160,161,163,162,159,155,156,159,163,163,162,160,159,159,158,157,151,147,149,152,157,160,161,160,158,159,164,163,158,158,160,163,165,165,166,165,164,165,167,167,163,159,160,161,159,157,155,154,155,158,162,163,163,162,164,165,165,163,159,158,160,161,160,158,159,163,167,167,164,162,163,164,168,172,174,171,167,167,168,165,161,161,162,163,164,163,163,167,169,168,167,168,168,167,164,161,159,159,159,158,160,161,162,159,155,155,155,153,152,152,152,153,156,160,162,157,null],[130,130,130,133,133,131,131,134,137,136,134,134,135,133,131,129,124,125,129,132,131,130,130,131,131,131,133,135,136,136,135,135,136,137,138,137,134,130,129,130,130,129,130,132,134,133,129,126,127,128,127,127,130,132,134,135,135,135,133,134,138,139,139,141,140,138,137,138,139,140,139,137,134,133,132,130,130,133,136,139,139,139,139,140,142,142,142,140,139,140,142,141,138,135,135,137,139,138,138,140,141,141,139,138,137,137,136,134,133,135,139,138,135,135,136,136,135,137,137,138,139,139,138,138,138,137,133,132,136,140,140,138,136,135,135,134,132,129,128,128,130,132,134,135,135,134,132,130,129,128,128,126,126,127,128,129,129,130,129,127,125,125,126,128,129,131,131,131,129,129,128,130,131,132,132,134,136,137,138,138,138,137,139,143,146,144,141,139,140,142,143,140,140,143,145,145,145,142,137,134,133,133,132,133,136,140,141,141,139,137,135,134,134,133,132,133,134,134,134,135,137,138,138,137,136,134,135,136,137,137,138,139,139,137,137,139,140,140,139,139,140,143,146,147,147,148,151,153,152,150,147,146,145,144,141,140,142,142,141,142,143,146,148,150,150,151,151,151,150,150,147,148,149,147,144,144,144,141,141,143,145,147,147,147,147,149,151,152,151,151,152,151,149,148,149,151,151,151,151,151,152,153,154,154,154,154,154,154,154,154,154,155,158,159,159,158,158,158,159,160,161,162,164,164,164,163,163,164,165,163,158,155,155,158,161,162,162,162,161,159,158,160,162,163,164,166,171,173,172,171,174,177,176,171,168,167,167,169,170,171,172,173,171,167,163,160,159,159,161,162,164,166,171,173,170,166,165,168,168,163,159,159,163,164,161,164,166,167,172,176,176,172,167,161,160,163,167,165,160,156,156,158,161,163,163,161,158,155,156,156,154,149,147,148,151,154,158,158,156,156,159,163,161,155,156,159,161,163,163,163,161,161,162,164,165,161,156,158,159,159,159,158,157,154,154,160,165,167,164,162,163,165,165,163,161,163,165,165,162,161,163,166,167,165,163,163,165,169,172,173,171,169,169,171,168,164,162,161,161,160,162,164,166,167,167,168,169,167,165,163,161,159,161,161,159,158,159,158,155,153,154,155,155,155,154,152,151,152,155,157,155,null],[129,128,128,131,132,131,133,135,136,136,135,135,135,133,132,129,123,124,131,133,130,128,129,131,132,132,133,135,135,135,135,137,138,139,139,138,136,133,131,129,129,129,128,130,132,131,128,126,127,128,126,126,130,134,135,134,132,134,134,134,135,137,140,142,141,138,139,140,140,139,138,137,136,134,132,129,129,132,136,139,139,139,139,139,141,141,140,139,139,140,141,140,138,136,136,138,139,140,141,142,143,143,141,138,137,137,136,133,133,136,139,138,135,136,140,139,136,136,137,139,140,139,136,137,138,137,134,133,136,139,138,137,135,134,135,135,133,130,128,128,129,131,133,132,130,130,132,131,128,126,125,125,124,126,128,128,128,129,129,127,126,125,125,126,128,129,129,128,127,128,129,130,131,132,133,134,135,136,139,141,139,137,136,138,139,138,137,138,141,144,146,143,140,141,143,145,146,144,141,138,137,137,136,137,141,144,145,145,145,144,140,136,134,133,132,132,132,133,136,138,139,138,137,136,135,134,135,137,137,136,136,137,138,137,138,141,143,143,141,140,141,143,143,144,145,146,148,150,150,147,145,144,144,143,141,141,142,141,141,142,144,146,147,147,146,147,149,152,154,152,150,151,154,152,147,145,145,143,143,144,144,145,147,148,147,147,149,150,150,149,149,148,148,148,149,150,150,149,149,149,151,154,155,156,157,157,158,159,159,157,154,155,155,156,157,158,159,161,163,163,163,163,166,169,169,168,167,167,167,164,160,157,158,162,164,160,158,161,165,166,165,164,164,166,167,167,169,169,169,170,172,174,173,171,169,166,165,167,170,171,171,170,168,165,163,161,158,157,158,160,161,164,169,173,171,168,168,171,171,165,161,162,165,166,164,166,168,170,174,177,175,172,168,161,160,166,170,166,159,156,158,161,161,159,158,158,157,155,154,152,151,151,151,151,150,150,153,153,152,154,157,158,156,155,157,160,160,161,163,163,163,164,161,160,162,159,156,158,161,161,162,162,160,155,153,157,162,165,162,159,161,165,167,166,165,167,169,169,166,164,163,165,165,165,163,162,166,170,172,171,170,170,171,172,169,167,165,163,159,159,160,163,164,164,166,168,169,165,162,161,160,160,163,163,158,157,158,157,156,155,156,158,160,160,157,154,153,152,153,153,152,null],[130,129,127,128,129,129,132,134,134,135,135,134,134,132,132,129,124,124,130,132,129,128,129,132,132,133,134,134,134,134,134,135,138,139,139,138,136,135,132,130,129,129,126,126,128,128,126,126,127,128,128,128,129,132,134,133,132,133,136,137,135,135,139,141,140,138,140,141,140,137,137,137,137,137,134,131,130,132,136,138,140,140,138,137,138,140,138,138,139,139,139,138,136,134,135,136,138,140,142,143,145,144,141,137,135,137,137,135,133,135,138,138,136,138,140,140,137,136,137,139,139,137,135,137,138,135,134,135,136,136,136,134,134,134,136,135,133,130,129,128,128,129,130,130,128,129,131,130,127,124,124,125,125,127,129,128,128,129,129,128,127,127,126,126,127,128,128,127,126,127,128,130,131,133,135,136,135,136,139,140,138,134,133,136,136,135,136,140,143,146,146,142,139,139,142,145,145,143,142,142,142,142,143,144,146,148,148,148,148,147,145,141,138,136,134,132,132,134,138,141,140,138,138,137,135,134,135,137,138,136,134,137,140,141,141,142,145,145,142,140,141,140,139,140,141,144,146,148,147,144,143,144,143,143,143,144,144,145,145,145,145,145,146,147,146,146,147,151,152,151,150,152,155,155,152,148,146,145,146,146,145,145,148,148,147,145,147,149,149,148,147,147,148,149,150,149,149,149,150,151,152,153,155,156,156,156,158,161,161,157,155,157,156,154,157,159,162,163,165,166,167,168,170,173,174,173,171,171,170,167,162,159,160,166,168,163,158,161,166,170,170,169,168,169,170,170,168,166,168,171,172,171,169,169,167,164,164,168,173,174,172,170,169,168,166,164,159,157,158,159,160,162,168,171,170,168,169,173,174,169,166,166,168,168,167,169,171,171,172,174,173,171,169,163,162,168,171,166,160,157,159,162,162,158,157,158,157,155,155,153,151,154,156,154,152,151,149,151,153,155,154,153,155,157,160,160,160,161,164,166,168,167,161,158,161,160,158,161,165,165,165,163,161,157,154,155,157,159,160,161,164,165,164,164,165,166,168,169,168,167,165,166,168,168,166,165,169,173,174,173,171,169,168,167,167,166,166,163,159,158,158,160,162,164,166,169,169,166,164,164,164,163,164,162,157,157,159,159,159,160,161,162,163,160,157,156,156,155,153,152,151,null],[132,130,129,128,127,127,129,132,132,133,134,133,132,132,131,129,125,125,129,130,129,129,131,132,131,132,134,134,133,134,133,133,136,138,137,136,135,134,132,131,130,128,125,124,124,126,127,127,128,129,131,130,129,130,132,132,132,134,138,140,137,136,138,140,140,138,140,142,139,136,136,136,137,138,136,133,131,131,134,137,138,139,137,136,137,138,138,139,139,138,138,136,133,131,133,136,137,138,139,142,145,145,140,137,135,137,138,136,134,133,135,136,137,138,139,139,137,136,137,138,138,136,135,136,135,133,134,136,136,135,134,133,134,136,136,134,131,129,129,128,127,128,128,128,128,128,128,127,126,125,125,126,126,128,129,130,129,129,129,128,128,128,127,127,127,128,129,129,127,125,127,128,131,134,137,138,137,136,137,137,135,132,132,136,137,137,139,142,144,144,142,138,137,139,143,145,143,141,141,143,143,143,146,149,148,148,149,148,147,148,147,146,144,142,138,136,135,136,139,141,139,137,139,140,139,136,136,139,140,137,136,139,144,145,144,144,145,144,142,141,140,139,138,138,140,141,144,144,143,141,141,142,143,143,145,147,147,149,150,149,147,146,147,148,149,148,148,149,151,150,150,151,153,156,155,151,146,146,147,147,146,146,146,147,146,145,147,149,150,148,147,147,150,152,152,150,149,151,154,154,153,152,153,154,153,154,156,159,159,157,158,161,159,156,158,161,163,165,165,167,171,174,173,173,175,175,174,173,172,169,162,158,160,168,171,166,162,162,167,170,171,171,171,170,171,172,168,166,168,172,173,169,166,165,164,163,165,170,174,175,175,175,174,172,170,168,163,160,160,161,162,164,168,172,170,167,167,173,175,173,171,171,170,170,171,172,171,169,169,171,171,171,170,166,166,170,171,167,163,160,161,162,163,161,160,160,157,155,157,155,153,156,158,156,156,154,150,152,156,156,152,151,155,159,160,159,159,160,162,166,169,166,161,159,163,162,161,164,167,166,163,161,160,157,155,155,155,154,158,163,165,163,160,162,164,164,165,167,168,169,168,169,172,172,170,169,173,177,176,174,172,167,164,164,164,164,164,162,160,158,157,157,160,164,167,168,169,168,167,167,167,166,165,162,159,160,162,161,161,163,165,164,161,159,157,156,156,156,155,154,154,null],[134,133,132,132,129,125,126,130,132,131,131,131,133,132,130,128,125,126,130,129,129,131,133,131,130,131,134,135,134,133,131,131,133,135,134,134,133,132,132,133,131,127,124,124,124,126,129,130,132,133,134,133,131,131,132,132,132,134,138,140,138,137,137,140,140,139,140,141,140,138,136,135,135,137,135,131,130,131,132,133,135,137,138,137,137,138,139,140,138,137,135,133,131,131,135,138,137,136,137,140,143,143,140,138,138,137,137,136,135,133,132,133,135,136,137,139,138,136,137,138,138,138,136,135,134,133,135,136,136,135,133,133,135,137,137,133,129,128,128,127,127,129,128,127,127,127,126,127,128,128,127,126,125,127,130,132,131,131,129,128,128,129,129,129,128,128,129,129,127,125,125,127,129,131,135,138,138,137,136,135,133,132,132,135,137,139,140,141,140,139,136,133,134,139,143,142,140,138,138,140,140,139,142,146,146,146,147,147,147,147,148,148,148,146,144,142,140,139,140,140,138,138,141,143,143,142,142,142,142,140,139,141,144,145,146,146,143,141,140,141,142,141,140,140,141,140,140,139,138,138,140,141,142,143,145,147,148,150,151,150,147,144,146,149,149,148,148,150,152,153,155,155,155,156,155,151,147,146,145,146,147,146,144,145,146,147,148,149,151,151,151,150,151,153,153,151,150,152,155,155,152,151,151,153,153,154,156,158,159,161,163,164,163,160,160,162,165,167,168,169,172,174,173,173,175,174,173,173,174,171,162,157,161,169,171,166,163,166,169,170,168,169,170,168,169,170,167,164,167,171,172,169,166,164,163,163,166,169,171,174,177,178,178,176,175,171,166,163,163,164,166,169,172,174,173,169,166,169,173,175,175,172,170,171,174,173,169,166,167,170,170,170,171,170,170,170,170,169,168,166,163,163,163,162,161,158,156,155,157,155,153,157,159,157,157,157,152,153,158,157,152,152,154,158,157,157,158,157,158,163,165,163,162,162,165,163,161,164,167,165,160,157,157,156,157,158,157,154,156,159,159,159,160,162,164,165,165,166,168,170,170,170,173,177,174,171,174,178,176,173,170,167,166,166,166,166,164,161,159,160,160,157,158,162,164,164,166,168,168,167,166,167,165,163,162,164,165,162,162,164,164,162,159,158,158,156,155,156,157,158,159,null],[135,134,133,135,131,125,125,129,131,131,130,132,134,131,129,127,125,126,129,128,128,131,132,130,129,131,135,136,135,134,133,131,132,133,132,132,132,130,131,134,130,125,123,125,126,129,131,132,135,136,136,134,133,134,134,133,132,134,137,139,139,138,138,140,140,139,140,140,139,137,135,135,135,136,132,128,128,131,131,131,133,136,138,138,138,139,141,140,138,136,134,132,131,133,138,139,137,136,136,138,140,140,139,139,139,137,136,135,133,131,131,132,134,135,136,137,138,137,137,138,138,138,136,133,134,136,137,136,135,133,132,133,136,137,137,133,129,127,126,125,126,128,128,127,126,125,124,127,130,130,129,127,126,128,132,134,134,132,130,129,128,128,129,129,129,129,128,126,126,126,125,125,127,129,131,134,136,135,135,134,132,132,133,133,135,137,138,137,136,134,133,132,133,136,139,140,139,137,137,139,139,138,140,142,143,143,144,146,147,146,146,148,149,149,148,147,145,143,142,142,141,141,144,146,147,146,144,143,144,144,143,142,143,144,146,146,142,139,140,143,144,144,143,143,144,143,139,136,135,137,141,144,145,144,144,145,148,149,149,149,147,144,146,148,148,148,149,151,153,154,157,160,160,156,152,150,148,147,146,147,148,147,145,145,146,146,146,148,150,151,151,151,152,152,152,152,152,153,155,154,152,151,152,153,155,155,156,157,159,162,165,167,166,166,166,166,166,166,168,170,171,171,172,174,174,172,170,171,175,175,167,162,166,170,170,165,164,169,172,170,168,167,168,168,167,166,163,162,164,167,169,170,168,164,164,167,169,169,169,174,178,178,178,178,177,173,168,165,166,168,171,173,174,174,175,173,170,168,170,174,174,171,170,172,175,173,169,167,167,168,168,168,170,171,170,169,168,168,168,168,165,162,160,160,160,156,156,157,158,155,153,157,160,158,157,156,153,154,158,158,155,153,152,155,157,158,158,155,155,160,164,164,165,165,164,162,162,165,166,163,158,154,156,157,158,160,159,157,156,155,154,155,158,161,163,165,166,166,168,170,170,171,173,175,173,170,174,178,175,171,168,167,168,168,168,166,162,159,158,162,164,159,157,159,161,162,163,167,168,165,164,166,166,166,165,166,165,162,161,162,161,160,160,160,158,157,157,158,159,160,161,null],[135,133,132,133,131,126,125,127,130,130,130,133,134,131,128,127,126,126,127,127,128,129,130,129,131,133,135,135,135,136,135,133,132,132,131,131,131,130,132,133,130,124,122,125,128,130,130,131,133,134,135,134,133,136,137,136,135,136,137,138,139,140,140,139,138,138,139,139,136,133,134,135,136,135,131,128,129,131,133,133,134,136,137,138,139,140,141,140,138,136,135,132,131,134,138,138,137,138,138,137,137,138,138,138,138,137,136,134,131,129,130,132,134,136,136,136,137,139,138,138,136,135,134,133,135,138,138,136,133,130,130,133,136,136,136,134,130,126,124,123,124,127,127,127,128,127,126,127,129,129,128,128,129,131,134,136,135,134,132,131,129,128,128,130,131,131,128,124,124,125,125,125,127,128,128,130,131,132,133,133,132,133,134,133,133,133,133,135,135,134,133,134,134,134,136,139,140,140,140,141,142,142,142,142,142,141,143,146,148,146,144,145,147,148,148,148,147,145,145,146,146,146,147,148,148,147,144,143,145,146,145,143,144,145,146,145,142,140,141,144,146,145,144,145,147,147,143,138,136,138,144,149,149,146,143,145,148,148,148,148,147,146,146,147,147,148,150,152,152,153,156,161,162,158,152,148,148,149,151,151,150,149,148,147,146,144,144,147,149,149,148,150,153,153,151,151,153,154,154,154,153,152,153,155,156,156,156,156,157,160,164,168,169,170,172,171,168,164,165,169,170,170,171,173,173,169,167,169,175,178,175,172,172,172,169,167,168,171,172,172,171,169,168,169,168,164,161,161,162,163,165,169,169,165,164,168,171,171,171,175,177,176,175,177,177,174,169,168,170,173,175,175,174,172,173,175,174,169,167,171,170,168,170,172,173,174,173,171,167,166,165,167,169,171,170,168,166,163,163,164,163,159,156,158,159,158,158,160,160,156,154,157,161,160,157,154,153,154,156,159,160,156,153,153,158,161,159,155,155,160,165,167,170,168,163,161,163,165,164,161,157,156,159,161,160,159,158,160,159,156,155,156,157,158,160,163,166,168,167,167,170,171,171,170,168,168,171,174,174,171,168,165,165,166,165,162,158,156,158,163,165,160,156,156,159,161,162,165,167,163,162,164,167,167,165,165,163,160,159,159,159,160,161,160,158,159,161,162,161,159,158,null],[134,133,132,131,129,127,126,126,129,129,128,131,133,131,130,128,127,126,126,126,126,127,129,131,133,133,134,134,135,135,134,133,132,132,132,132,131,130,131,132,130,125,123,124,127,128,129,128,130,132,134,135,135,138,140,140,140,139,137,137,138,141,141,136,134,137,140,139,136,132,131,132,133,132,131,130,132,134,135,136,136,137,137,138,139,142,142,141,139,138,136,133,131,133,137,137,137,139,140,138,137,138,139,138,136,136,136,136,133,130,129,131,133,136,137,137,137,138,138,137,134,133,133,133,135,138,138,135,133,131,131,133,134,136,136,134,131,126,123,124,126,127,127,129,132,132,130,129,128,128,128,129,130,132,134,135,135,134,134,134,131,130,132,135,137,136,133,128,125,125,126,127,127,126,126,126,127,129,132,133,134,135,136,136,134,131,131,133,136,135,135,136,137,136,137,141,143,143,143,144,146,147,147,146,144,142,142,145,147,145,142,142,144,146,147,147,146,144,145,147,148,148,148,150,150,148,145,145,147,147,146,145,146,147,147,146,143,142,143,144,145,145,144,145,149,150,147,144,142,142,144,148,150,148,145,145,147,148,147,147,147,147,148,148,149,149,150,152,153,154,156,158,160,159,154,150,148,150,153,154,152,151,151,149,146,144,145,147,149,149,148,151,154,153,151,150,153,156,155,155,156,154,153,154,155,156,156,157,158,161,165,168,169,170,172,173,170,165,163,165,167,168,169,170,170,169,168,170,172,175,177,177,175,172,171,172,173,174,175,174,172,170,169,170,168,164,163,164,163,161,161,165,167,164,163,165,169,171,172,174,175,172,171,174,177,175,170,169,173,175,175,175,173,170,168,171,173,168,164,166,168,169,171,171,170,174,176,172,168,165,166,169,171,172,171,168,164,161,160,159,160,157,156,160,162,160,160,160,158,156,156,158,160,160,156,153,153,153,154,159,162,159,154,152,155,158,159,159,159,160,163,167,171,170,165,163,164,164,162,159,156,158,164,166,162,157,157,159,160,159,160,159,157,158,160,161,164,166,164,164,168,170,169,166,165,166,166,168,172,173,170,164,161,161,161,159,159,158,159,162,164,161,157,155,156,158,160,161,163,163,163,163,164,165,163,162,161,160,158,157,157,157,158,158,157,160,163,162,160,157,156,null],[132,133,133,131,129,128,127,126,128,128,128,130,132,131,130,129,128,127,125,125,126,127,130,133,133,132,132,133,135,134,132,131,131,132,133,132,131,129,129,130,129,126,125,125,126,128,129,128,128,129,133,136,139,140,142,142,142,140,137,135,137,139,138,134,132,135,139,140,138,134,131,129,129,129,130,132,134,134,134,136,137,138,138,138,139,141,141,141,140,139,138,135,131,131,136,137,138,139,140,140,138,138,139,139,137,135,135,136,135,132,129,129,132,135,138,139,138,136,136,136,135,133,132,132,134,136,136,134,134,133,132,132,132,134,135,133,130,126,124,126,128,128,130,133,135,136,135,132,130,131,131,131,132,133,133,133,134,135,135,135,133,133,136,139,139,139,137,133,128,126,127,129,127,126,126,126,127,129,132,135,136,137,138,138,136,133,131,132,135,135,136,137,139,140,141,142,143,143,142,144,146,147,148,148,147,145,143,144,146,145,143,142,142,145,146,146,145,143,144,147,148,149,149,150,150,149,148,149,150,149,148,147,148,149,149,147,145,144,144,144,145,145,145,146,149,150,149,148,147,145,144,145,148,149,146,145,148,149,148,147,146,147,148,150,150,150,149,150,153,156,155,154,156,158,156,152,149,150,153,153,152,152,152,150,148,146,146,147,149,150,150,151,153,153,151,150,153,156,156,157,157,154,152,153,154,156,157,159,161,165,167,168,169,170,169,171,171,166,162,164,167,168,168,168,168,171,172,172,171,172,177,177,174,172,174,175,176,176,177,176,172,171,171,169,167,165,165,166,165,162,160,162,164,163,163,164,167,170,171,173,173,170,169,171,175,174,170,171,174,174,174,175,175,172,166,167,168,165,164,167,170,171,172,170,168,171,173,170,167,168,171,173,173,172,171,169,166,164,161,159,158,158,160,163,162,159,159,158,155,155,158,159,159,158,154,153,155,155,154,158,162,161,158,155,152,154,158,162,163,161,161,164,168,169,167,165,163,163,160,157,156,159,166,168,164,159,157,159,160,161,164,162,159,160,162,163,164,164,163,163,166,168,169,168,167,167,164,163,168,172,171,162,159,160,159,158,162,163,162,162,162,162,159,156,156,157,157,158,159,163,165,163,161,160,161,162,162,162,161,159,158,157,155,155,157,159,160,160,159,158,158,null],[131,132,133,132,130,130,127,125,126,127,129,132,132,130,128,128,127,126,124,125,127,129,131,132,133,132,132,134,136,135,132,129,130,131,132,132,131,128,128,129,128,125,126,127,129,130,130,131,130,130,134,138,140,141,142,142,140,138,134,133,135,136,134,133,133,134,137,139,139,136,133,130,129,129,131,133,133,132,132,134,137,137,137,138,139,139,140,140,139,139,139,137,133,131,135,137,138,139,140,140,139,137,137,138,138,134,132,133,133,130,129,131,135,136,137,139,138,136,135,135,136,135,132,130,131,134,134,135,135,134,131,130,130,132,132,131,130,127,125,127,129,130,132,135,135,135,136,135,134,135,137,136,136,135,135,135,135,135,135,136,135,135,137,138,137,137,136,134,130,127,128,129,127,127,127,127,129,131,134,137,138,137,137,139,139,137,134,132,133,135,136,138,139,141,140,140,140,139,138,139,141,143,145,146,147,146,144,145,146,146,144,143,143,144,146,146,146,146,147,148,150,151,150,150,150,149,150,152,153,152,150,148,149,151,151,150,147,146,146,147,147,147,146,148,149,150,149,149,148,147,145,145,148,149,146,146,149,151,151,148,147,147,148,148,149,148,148,148,151,154,154,153,155,158,157,153,150,151,152,152,152,152,152,151,150,148,146,145,147,150,153,152,151,152,152,151,152,154,155,156,156,153,151,152,154,156,158,161,164,168,168,167,169,171,168,168,168,165,164,167,169,170,169,168,169,173,176,174,172,174,177,178,174,172,173,174,174,174,175,175,173,172,171,168,165,164,165,166,166,164,162,161,162,164,165,166,170,170,168,171,173,170,169,170,171,170,171,174,175,173,172,175,176,175,171,167,164,163,167,171,173,172,172,169,165,166,166,164,165,170,174,174,171,170,170,169,169,169,167,163,159,159,160,162,160,157,155,155,154,156,159,160,157,153,152,155,159,158,155,157,162,163,162,159,153,153,156,160,161,160,161,163,165,166,165,163,161,161,159,156,156,159,163,166,167,163,160,160,161,163,165,163,159,160,163,165,166,165,164,164,167,168,170,171,171,169,165,163,165,168,168,161,160,164,162,160,163,167,166,165,163,162,162,161,160,158,155,156,160,164,166,164,159,157,161,164,165,165,164,162,162,160,155,154,157,158,158,159,160,161,160,null],[129,130,133,132,130,128,126,124,125,127,130,132,131,128,126,126,125,124,124,126,128,129,130,130,130,131,132,135,137,136,133,131,131,132,130,130,130,129,128,128,126,126,128,131,132,132,133,135,134,134,136,138,138,138,139,139,138,136,132,132,133,132,131,133,135,134,136,138,138,136,135,133,130,130,131,132,131,130,132,134,135,135,137,139,138,137,138,138,138,138,138,138,135,132,132,134,135,136,137,138,138,137,135,137,138,134,130,130,130,129,131,134,138,138,137,137,137,136,133,133,136,136,132,128,128,132,135,135,134,132,130,129,128,128,129,129,128,127,126,126,127,128,130,132,133,134,135,135,135,136,138,138,138,138,137,137,136,136,137,138,137,137,137,137,136,135,134,133,132,131,131,131,129,127,127,128,129,132,135,138,137,136,136,138,139,138,136,133,132,134,136,138,139,139,137,137,137,138,137,137,137,138,140,142,142,142,143,144,145,145,146,146,145,144,146,147,148,148,148,148,150,151,151,151,151,150,150,152,154,153,150,148,150,154,155,153,150,149,149,150,150,149,150,152,152,151,151,149,149,148,148,147,148,149,146,146,149,152,152,150,148,148,148,148,148,148,148,149,150,151,153,155,157,159,158,156,154,153,151,151,153,154,154,152,151,149,147,145,147,150,154,153,151,152,152,151,151,153,155,157,156,155,154,154,156,157,157,159,163,167,167,166,168,170,169,166,164,163,165,170,171,169,169,170,170,173,175,174,175,177,178,177,173,171,170,172,172,172,172,172,171,171,170,167,164,163,164,166,168,166,162,161,162,165,167,170,171,168,165,169,173,169,167,167,167,168,172,176,176,173,172,174,175,175,173,168,164,164,168,171,172,171,170,167,164,164,164,163,164,168,172,171,169,170,171,169,170,173,171,166,161,159,159,160,159,156,156,156,156,159,160,159,155,150,153,159,161,159,156,159,163,162,160,158,155,156,158,158,158,161,164,165,166,164,162,160,159,159,160,159,159,159,161,165,168,166,163,163,164,165,165,162,158,158,161,164,166,166,165,165,166,168,170,172,170,166,164,165,166,166,164,161,162,166,164,161,163,167,168,168,166,164,164,164,162,157,154,156,160,163,164,163,158,158,163,165,165,165,163,161,161,159,154,153,154,156,157,159,161,160,159,null],[128,129,132,130,128,125,124,124,126,127,128,130,130,129,126,124,123,122,124,127,129,129,128,129,129,130,132,135,136,135,134,134,135,134,129,127,129,130,129,126,126,129,132,133,133,134,135,137,137,137,138,137,136,135,136,138,138,137,135,134,132,130,129,133,135,136,136,136,135,136,136,134,132,131,130,130,131,132,134,134,134,135,138,140,137,135,137,138,138,136,136,138,137,134,130,130,132,133,133,134,137,138,136,136,137,133,129,128,129,130,133,137,139,140,138,136,135,135,132,131,134,135,131,127,127,132,136,136,132,129,129,129,126,124,125,127,127,126,126,126,126,125,125,127,130,132,133,132,131,132,134,135,137,138,138,138,138,138,139,140,140,139,138,138,138,137,134,132,133,136,137,135,131,128,127,128,128,130,134,136,135,134,136,137,137,137,136,135,133,134,136,138,138,136,135,135,137,139,140,139,137,136,138,139,138,138,140,141,142,144,146,147,145,144,145,147,148,147,146,146,147,149,150,152,153,152,150,150,152,152,149,149,152,156,157,154,152,151,150,150,150,151,153,155,155,154,154,152,151,150,149,148,149,150,147,145,147,150,151,150,150,150,150,149,148,148,150,151,151,151,155,159,160,160,160,159,158,155,151,150,154,157,156,153,152,150,149,148,148,150,153,153,153,154,153,151,150,152,156,158,158,159,158,157,159,160,157,156,159,164,166,165,166,167,168,166,162,161,166,170,169,166,167,170,172,172,172,174,177,178,176,173,172,170,169,170,171,171,170,169,169,169,169,167,163,163,164,166,168,166,161,161,163,165,169,172,170,166,164,168,170,167,165,165,166,170,174,176,174,174,172,170,171,172,170,166,165,166,167,168,170,169,166,164,165,166,167,166,166,167,168,167,168,172,174,171,171,173,173,169,163,159,158,158,159,159,159,159,159,160,160,157,153,151,155,162,162,159,158,161,162,159,154,153,155,160,162,159,157,161,164,166,166,164,162,160,160,160,161,163,163,161,160,164,168,166,164,167,168,167,164,161,158,158,159,161,164,165,164,164,165,168,169,169,165,163,164,167,168,166,163,163,164,165,165,163,163,165,167,168,168,165,163,161,159,156,155,156,159,160,160,159,158,159,163,164,162,162,161,158,157,156,153,152,152,153,156,159,158,156,157,null],[128,129,131,131,127,123,122,125,127,127,127,129,131,131,128,124,122,121,123,127,130,129,129,130,130,130,133,135,136,134,133,133,135,134,130,127,128,128,127,126,129,132,133,133,134,135,136,136,136,136,136,137,136,135,138,140,140,139,138,136,134,131,130,130,134,137,135,132,133,135,136,135,135,133,131,129,131,134,136,134,134,137,140,140,136,134,136,138,137,134,133,136,138,136,131,129,130,132,132,133,136,138,137,137,136,132,129,127,128,130,134,137,138,138,138,136,135,134,132,131,132,132,129,127,128,133,135,134,130,127,127,127,126,124,124,126,126,126,126,125,125,126,125,124,127,128,127,127,128,129,130,132,134,136,137,138,138,139,140,141,142,142,139,138,139,140,138,134,134,138,140,138,133,129,127,126,127,129,131,132,132,132,133,136,137,137,138,137,135,135,136,137,136,134,133,133,136,140,143,142,139,138,138,138,137,137,138,138,139,141,145,146,145,143,144,145,146,145,144,143,145,148,151,153,154,152,149,148,149,150,150,151,153,155,156,154,153,151,149,148,149,151,154,155,156,157,158,156,153,151,149,149,150,150,148,148,149,150,149,150,152,153,152,150,148,147,149,151,152,153,157,161,162,160,158,159,160,158,154,153,156,158,157,154,152,151,152,152,150,149,151,152,153,155,154,151,149,151,155,157,158,160,160,159,162,163,160,156,156,161,165,166,165,165,167,166,163,162,164,167,166,164,167,171,173,172,171,175,178,178,174,171,170,169,168,169,170,170,169,169,169,168,167,167,165,164,164,164,166,165,161,160,162,165,169,171,169,166,164,165,166,164,165,169,171,174,176,174,171,172,170,168,169,170,168,165,163,164,167,169,170,165,161,162,167,167,167,169,171,170,169,167,168,172,176,175,173,173,174,172,166,161,158,159,161,162,161,160,159,158,156,155,154,154,157,162,163,163,163,161,159,155,153,153,156,160,162,160,158,160,162,163,164,165,165,163,162,161,163,165,163,160,160,163,166,164,165,169,171,168,163,159,160,161,161,160,160,162,162,164,167,170,168,165,163,166,169,170,169,166,164,165,165,165,166,166,164,164,166,167,166,165,161,157,157,158,159,158,157,156,155,155,156,158,160,161,161,164,163,160,157,157,157,155,153,152,153,155,154,153,155,null],[128,129,129,129,126,122,123,126,130,129,127,129,131,132,129,125,122,121,122,125,128,128,129,130,131,132,134,136,137,135,133,132,132,132,131,130,129,126,124,126,130,132,131,131,133,134,135,136,135,134,134,136,137,138,140,142,142,139,137,137,137,135,131,128,132,137,135,130,130,134,137,137,136,134,131,130,132,136,138,137,137,139,140,138,136,135,137,138,136,132,132,135,138,137,133,130,130,133,135,134,135,137,138,138,135,132,129,128,128,130,133,135,136,136,137,136,135,134,133,132,130,129,128,127,129,132,132,130,127,126,126,126,124,124,124,125,126,127,128,128,128,129,129,127,126,126,125,126,128,128,128,130,132,133,134,136,137,137,138,140,143,143,140,139,139,141,141,138,136,138,140,139,135,132,129,126,126,128,128,129,130,131,132,134,136,137,138,138,138,137,138,139,139,136,134,135,137,141,144,145,143,142,142,142,141,139,138,138,139,139,142,143,142,141,143,144,145,145,144,144,146,149,152,153,153,150,148,147,147,149,151,152,153,153,154,154,153,150,148,147,149,153,155,155,156,158,159,157,153,150,149,150,150,149,148,150,152,151,149,151,154,155,153,151,150,150,150,152,153,155,157,159,161,158,155,156,159,160,158,156,157,158,157,156,155,154,154,154,152,149,149,150,152,153,154,152,150,151,154,155,156,158,160,161,163,165,163,159,157,159,163,166,165,164,166,166,164,162,163,165,166,166,169,173,173,172,172,176,178,177,173,170,169,167,167,168,168,167,166,167,167,166,165,166,166,165,163,162,164,163,160,160,163,167,169,169,168,165,163,163,164,164,167,171,175,177,175,171,167,167,168,169,170,170,167,164,163,163,168,172,168,163,161,164,168,168,169,171,173,174,172,170,168,169,174,178,178,175,174,173,169,164,159,160,162,162,162,160,158,156,153,154,156,158,159,161,163,165,164,159,156,155,156,157,156,156,158,158,158,158,158,159,162,167,169,165,161,162,164,165,162,159,160,162,164,164,166,170,171,167,161,159,161,164,163,160,160,162,161,164,170,171,167,163,165,170,172,171,169,167,166,166,166,167,169,168,165,166,168,166,163,162,160,157,159,161,162,160,156,153,153,153,155,155,156,158,162,165,166,163,160,160,160,158,155,153,153,153,152,151,153,null],[129,129,128,126,123,123,124,128,132,133,129,128,129,130,129,126,123,122,122,124,126,127,128,131,132,134,136,138,138,137,135,132,129,129,131,132,131,126,124,126,128,129,127,128,131,133,135,138,137,134,133,134,138,140,140,141,140,136,134,136,137,136,132,128,130,136,135,130,129,133,137,137,135,134,131,130,132,136,139,139,139,139,138,136,136,138,138,138,135,132,131,133,136,137,134,131,130,134,137,137,135,135,137,136,133,131,130,129,129,129,131,133,134,135,135,134,135,135,133,130,127,127,127,127,128,128,127,124,124,126,127,126,124,124,125,126,127,129,130,133,133,132,132,132,130,128,128,130,129,127,126,128,130,132,133,134,134,134,137,140,142,142,141,139,139,141,142,141,139,139,138,138,137,134,130,127,126,127,127,128,129,132,134,134,135,136,137,138,138,138,141,145,145,141,140,141,142,144,146,148,148,146,146,146,144,143,142,141,140,139,139,139,139,141,144,145,146,146,146,146,147,149,152,152,150,148,147,148,148,150,152,152,151,151,152,153,151,148,148,149,152,155,157,157,158,159,158,155,152,149,148,150,151,149,148,149,152,152,151,153,155,156,154,153,154,154,154,153,155,156,156,156,157,155,152,152,155,158,159,157,158,157,157,158,158,156,156,156,154,151,149,149,151,152,154,155,153,152,153,154,155,158,161,162,162,163,163,163,163,161,162,165,164,163,165,165,163,161,163,167,169,171,173,174,173,173,174,176,177,176,173,171,168,165,165,167,166,163,163,164,163,163,163,163,164,164,163,162,162,161,160,161,165,170,171,167,164,162,162,163,165,167,168,171,175,177,174,168,164,164,168,171,171,169,167,165,164,165,169,169,164,162,165,168,169,171,171,172,173,174,175,172,167,166,170,178,180,178,175,172,168,165,162,161,162,163,164,162,160,156,153,154,157,159,161,164,165,163,161,157,156,158,160,159,155,153,154,156,158,159,158,159,163,167,169,164,159,163,166,165,161,159,161,163,163,165,167,169,168,164,159,159,162,164,163,160,161,164,162,164,170,171,167,165,169,173,172,170,172,171,167,165,167,171,171,168,167,170,172,167,162,160,160,161,162,164,163,160,156,154,154,155,155,153,152,156,161,163,163,162,162,161,160,157,155,156,157,156,153,151,151,null],[128,128,127,124,123,125,127,129,132,132,129,126,126,128,128,125,123,124,125,127,127,126,127,131,133,134,136,137,137,138,136,131,128,128,130,132,131,128,125,125,125,127,128,129,130,132,136,139,138,134,132,133,138,139,137,138,137,134,133,134,136,134,130,127,129,134,133,129,128,131,134,135,133,132,130,129,131,134,137,138,138,136,135,134,136,139,139,136,132,131,130,131,134,136,134,132,131,133,136,137,136,135,136,133,130,130,131,130,128,127,129,132,134,134,133,132,134,135,131,125,123,124,126,125,124,124,123,123,127,129,129,128,128,128,128,128,129,130,132,134,135,134,134,135,134,132,132,133,132,128,126,128,131,132,133,132,132,134,137,140,141,141,141,140,140,141,142,141,142,141,137,135,135,133,131,129,128,128,128,128,129,132,135,136,136,136,136,137,138,139,143,147,146,143,144,146,147,147,147,149,149,148,148,149,147,145,144,143,143,141,139,137,138,141,143,143,143,144,145,146,147,149,150,150,147,145,146,149,150,149,150,150,150,151,151,151,149,147,148,150,152,154,155,157,159,160,159,155,151,149,150,152,152,150,149,149,151,152,154,155,156,155,154,155,155,154,153,152,154,156,156,154,153,152,152,152,155,158,158,156,155,155,157,158,158,157,158,158,155,152,151,152,153,153,155,157,155,154,155,155,156,158,160,161,160,161,164,166,166,163,164,166,165,163,163,163,161,162,165,169,171,172,174,174,174,174,176,176,176,175,173,170,167,164,163,165,165,163,163,165,165,163,161,160,162,164,164,163,162,160,158,160,165,169,170,166,162,160,161,164,166,168,169,171,174,175,173,168,164,164,169,172,172,171,171,168,164,166,167,166,163,164,167,169,170,172,172,172,173,175,176,174,170,167,170,174,178,178,175,170,166,166,165,162,163,167,168,165,162,158,155,156,158,160,162,165,164,162,160,158,159,160,161,160,158,154,153,156,161,163,162,160,162,165,167,164,161,165,167,164,160,160,164,166,164,166,167,167,164,160,159,161,164,164,162,161,163,166,164,163,168,169,168,168,172,174,173,172,174,172,167,167,169,172,171,170,172,173,171,167,162,162,165,166,164,163,162,162,159,157,157,159,157,153,151,154,159,159,158,160,161,162,160,158,157,158,159,158,156,154,152,null],[128,127,126,125,126,128,129,128,129,128,126,124,124,126,126,125,124,126,130,131,129,128,129,132,133,134,135,135,134,136,135,131,129,130,130,130,129,128,127,126,125,126,131,133,133,133,136,137,136,132,132,134,136,136,134,135,134,133,133,135,134,131,127,126,128,130,130,129,129,130,130,131,131,130,128,129,130,133,134,135,135,135,133,132,135,137,137,134,131,131,129,129,132,134,132,131,132,133,135,136,136,136,135,132,129,129,129,129,127,126,127,131,135,135,132,131,132,133,127,121,120,123,124,124,122,122,124,128,132,133,131,131,133,134,133,131,131,132,133,134,135,136,136,137,137,135,132,133,134,130,127,129,133,134,134,132,133,135,137,138,139,140,141,142,143,143,142,142,143,142,137,133,132,132,132,132,130,128,127,127,128,131,135,138,138,137,137,138,138,140,142,143,143,143,145,146,148,148,148,150,150,148,149,150,148,145,144,144,145,144,142,140,141,142,141,139,139,141,142,142,144,146,147,147,146,146,147,149,149,148,147,149,152,153,151,148,146,146,149,150,150,151,153,156,159,162,162,158,153,151,152,153,153,151,151,151,151,152,155,157,156,154,154,155,154,152,150,151,154,156,156,152,150,151,154,155,157,158,157,154,152,154,156,157,156,157,159,159,156,152,153,154,155,155,156,157,155,154,157,158,158,158,159,159,159,161,166,168,168,166,167,168,165,161,161,161,161,163,167,168,168,169,172,173,174,176,176,174,173,173,171,169,167,165,164,164,165,166,166,166,167,164,160,159,161,165,165,164,164,161,158,159,163,167,167,164,160,160,163,166,166,166,168,171,173,174,173,167,164,166,169,172,173,173,173,169,164,164,165,164,164,164,166,168,170,171,170,169,172,176,176,174,173,173,174,172,174,176,174,169,165,166,166,163,164,169,169,166,163,160,157,156,158,160,164,165,164,161,159,161,162,161,160,161,162,159,155,157,162,167,165,160,160,163,165,166,166,168,167,164,160,162,168,169,166,167,166,164,162,161,162,166,168,165,161,162,165,167,166,164,166,169,170,170,172,176,176,175,175,171,167,169,170,169,170,173,175,173,168,165,164,165,167,167,163,160,161,162,162,160,161,162,161,156,151,154,158,157,156,159,160,161,160,160,160,158,157,157,156,155,152,null],[127,126,124,125,128,130,130,127,124,123,123,124,125,126,127,128,126,129,134,133,130,131,132,132,132,133,135,134,133,132,132,132,131,131,129,128,127,127,128,128,127,126,130,133,134,134,134,134,133,131,132,135,135,134,132,132,131,131,133,135,133,130,127,127,128,128,129,131,133,131,128,127,128,129,129,130,132,133,134,135,135,136,134,131,133,134,134,133,133,133,131,129,129,130,129,131,134,136,136,136,135,134,134,132,129,127,126,125,126,127,128,132,137,137,135,133,131,128,123,120,121,123,123,124,124,126,129,133,136,135,133,134,135,137,136,134,134,135,136,136,136,137,138,139,139,136,132,133,134,131,129,130,133,135,135,135,136,137,137,137,138,139,140,143,145,144,143,143,144,142,138,134,132,132,133,133,131,128,127,126,127,129,132,137,139,139,139,139,140,139,139,140,142,145,145,145,146,147,148,150,151,150,150,150,148,145,142,143,144,144,144,144,145,145,142,140,139,140,141,140,142,143,143,144,147,148,150,150,148,146,147,152,155,154,150,146,145,147,149,149,148,151,154,156,158,161,163,159,154,152,153,153,153,152,152,152,152,153,155,156,156,155,153,152,151,149,149,153,155,155,154,151,150,154,158,159,158,156,154,152,153,154,153,153,154,156,159,160,158,155,154,153,154,154,156,157,156,156,158,159,158,158,159,161,162,164,168,169,169,169,169,168,166,162,161,160,161,163,165,165,167,169,171,172,174,176,174,171,170,172,171,168,166,165,166,165,166,166,165,164,164,162,159,159,161,164,164,163,165,163,159,159,163,165,164,161,160,162,165,167,166,166,168,170,170,171,170,166,162,164,168,171,172,172,171,166,162,163,165,164,163,162,165,169,171,169,166,165,167,170,173,174,175,176,175,173,173,174,174,171,167,166,166,164,163,165,165,163,161,160,158,156,157,161,166,167,163,160,159,161,163,162,160,160,164,162,156,155,159,164,163,158,158,161,165,169,171,172,168,164,161,162,169,170,168,167,166,164,165,167,168,169,170,165,161,162,165,168,168,167,166,169,171,170,171,176,180,178,173,169,168,170,170,167,169,173,174,172,168,165,164,164,164,163,161,158,158,158,160,163,163,162,162,159,153,153,155,156,158,162,161,159,160,161,159,156,153,152,153,152,150,null],[125,124,125,127,129,130,129,126,123,121,122,125,127,128,129,130,130,131,134,131,128,130,132,130,131,133,134,134,132,132,132,132,131,129,128,127,126,125,127,129,128,127,128,131,134,134,133,132,130,129,131,133,133,133,133,131,128,129,133,135,133,130,128,128,127,124,125,130,134,133,129,126,126,128,130,131,134,135,135,135,136,137,135,132,132,133,133,133,133,132,131,129,128,128,129,132,135,137,137,136,133,132,133,133,130,125,123,124,127,130,131,134,137,137,135,133,129,125,122,122,123,123,124,126,129,132,134,136,135,134,134,134,136,138,137,136,137,137,137,138,139,139,139,140,139,136,133,134,135,132,130,130,132,134,136,136,137,137,136,135,135,137,139,141,143,144,145,145,144,142,139,137,135,134,135,135,134,131,128,127,126,127,129,132,135,138,138,139,140,139,138,138,141,144,145,144,145,146,147,148,149,150,150,150,149,145,142,142,144,144,145,147,146,145,143,143,144,144,144,144,143,141,141,142,146,149,150,149,146,144,148,152,154,152,149,147,147,149,151,150,149,151,154,156,156,159,162,161,157,154,153,153,153,154,154,154,155,155,155,154,155,156,153,150,149,149,151,154,155,153,152,151,152,156,160,160,158,155,151,151,153,152,150,150,152,155,156,157,158,157,154,152,152,153,156,157,156,157,159,160,159,158,160,163,165,167,168,169,169,170,169,167,166,165,162,161,161,161,162,165,169,171,172,172,173,172,170,169,169,170,170,168,166,166,168,166,164,163,163,163,162,161,161,161,160,161,160,162,166,165,160,159,161,164,164,161,161,163,165,165,165,167,167,166,166,166,166,163,163,164,167,169,171,171,167,163,161,162,163,162,160,162,167,171,169,165,163,165,165,165,168,172,173,173,172,173,175,176,175,173,171,169,168,165,162,160,160,159,158,158,159,156,157,162,166,166,164,161,161,163,164,164,162,161,163,161,156,155,159,160,159,157,158,160,163,168,171,173,169,164,161,162,167,170,170,168,167,167,169,170,169,168,167,164,162,161,163,167,170,169,167,169,171,170,170,174,179,179,174,170,169,169,167,166,168,170,168,168,169,166,162,161,159,159,159,158,158,156,157,161,161,160,161,161,155,152,153,156,160,163,161,157,157,158,156,153,151,149,149,149,150,null],[122,123,127,130,131,129,128,126,124,122,122,125,128,129,129,130,131,132,132,129,126,127,127,128,131,134,134,132,131,132,133,132,130,127,126,125,124,124,126,129,130,130,129,130,133,134,133,131,128,127,128,129,130,133,133,130,127,127,131,134,133,130,128,128,126,121,121,126,132,133,129,126,126,128,129,130,133,135,135,134,135,136,134,132,131,132,133,132,129,128,129,130,130,130,132,134,134,135,135,134,131,130,133,133,129,124,123,127,130,132,132,134,135,133,130,129,128,126,125,124,125,125,127,131,134,135,135,134,133,132,133,135,137,139,138,137,137,137,137,139,140,139,138,137,137,136,135,136,137,134,131,129,130,132,134,135,135,134,134,134,134,135,137,138,139,142,145,145,143,141,140,140,138,138,138,138,138,136,132,128,127,127,127,128,131,134,136,137,138,139,139,140,140,142,144,145,145,145,144,143,143,146,148,150,149,146,142,142,143,144,145,146,145,143,142,145,147,147,148,148,145,143,143,143,144,145,147,147,145,145,148,150,149,148,147,149,149,150,153,153,152,152,154,154,154,157,161,163,161,156,153,153,155,155,155,155,156,155,154,153,154,155,154,151,148,149,151,152,152,151,151,152,153,155,157,157,156,154,150,149,151,151,148,149,151,153,153,154,156,157,156,153,153,155,156,156,156,158,161,161,160,161,163,166,166,166,167,167,168,169,168,166,166,166,164,162,160,159,162,168,172,172,171,171,171,169,168,170,170,169,168,168,168,169,168,165,161,161,163,165,164,163,164,163,161,158,158,161,166,165,161,159,160,163,163,161,160,162,163,163,164,167,166,163,163,162,161,162,166,167,167,168,170,171,168,164,161,161,161,159,160,164,169,168,164,163,165,169,168,166,168,170,169,168,169,172,176,177,175,173,173,174,171,166,162,160,159,158,157,158,159,159,159,161,163,164,164,164,165,166,166,165,164,163,161,158,155,159,163,160,157,158,159,160,161,163,167,171,170,165,163,163,164,168,171,170,169,170,170,169,167,164,162,165,166,163,162,165,168,169,167,170,173,170,169,172,176,178,175,171,168,166,165,164,168,169,164,165,168,165,162,161,159,158,158,159,160,158,156,157,157,157,161,161,156,152,152,156,160,161,160,157,154,154,153,152,150,148,148,150,152,null],[120,122,126,129,130,129,128,126,123,121,121,123,126,128,129,129,130,131,131,129,126,124,125,128,131,133,133,130,129,130,132,133,131,127,125,125,125,125,126,128,131,132,130,128,129,132,133,130,127,126,126,129,130,131,130,128,126,126,129,132,132,130,127,126,123,119,120,126,131,131,129,126,126,127,127,127,130,133,134,133,132,133,131,130,131,132,132,129,127,126,129,131,131,132,134,134,132,132,132,130,129,129,130,130,127,124,125,128,130,130,130,131,131,128,125,124,126,127,126,125,127,128,130,133,135,134,132,132,132,133,133,135,138,139,140,139,137,136,137,138,139,139,136,134,134,135,137,138,137,135,132,130,128,129,132,134,132,132,133,135,135,135,136,137,138,140,143,144,142,140,140,140,140,140,139,139,138,137,133,130,130,130,130,129,130,132,132,133,136,139,140,141,141,142,144,145,143,140,139,138,140,143,145,147,147,144,141,141,142,143,144,144,143,142,143,144,145,146,147,148,146,146,147,146,144,143,144,144,146,148,149,149,148,146,147,149,151,152,152,153,153,154,154,154,154,156,160,163,161,156,153,154,155,156,156,156,156,155,153,150,150,153,155,153,148,147,148,149,149,150,152,153,154,153,153,154,154,151,148,147,151,152,151,151,152,153,154,155,156,157,157,157,157,159,158,156,157,161,163,162,161,163,166,168,168,166,164,164,166,167,167,164,163,165,166,164,160,158,163,170,171,168,167,167,167,167,170,172,172,170,168,167,168,168,166,164,163,164,165,165,164,163,163,163,161,158,157,161,164,164,160,159,160,162,161,159,159,160,162,163,164,167,167,165,163,160,159,163,167,167,165,165,168,171,169,165,162,161,160,161,163,165,165,162,160,163,169,173,173,171,172,172,169,168,170,172,175,176,172,170,171,172,171,168,163,161,161,161,160,160,162,162,161,159,160,161,163,166,168,169,167,163,163,163,161,157,156,162,167,162,158,159,161,162,161,160,162,168,171,168,168,167,164,166,171,172,172,172,170,167,165,163,162,167,169,165,163,164,165,166,167,172,176,172,170,173,174,174,173,169,166,165,163,163,169,172,167,164,165,164,164,166,164,160,158,160,162,161,158,155,154,155,159,160,157,154,153,155,158,160,161,160,156,152,151,150,150,150,151,153,156,null],[121,124,127,127,127,127,126,124,121,119,121,122,124,127,128,128,129,130,132,130,126,125,127,129,131,131,132,130,129,129,131,132,131,127,125,125,126,126,126,127,131,132,129,126,127,130,131,130,127,126,126,128,129,128,127,127,127,128,129,130,131,129,126,124,121,120,123,128,130,128,127,126,126,126,126,127,128,131,133,133,130,129,128,128,131,132,131,127,125,126,129,132,133,133,134,133,131,129,129,129,129,129,130,129,128,126,126,127,127,125,126,128,126,125,123,123,124,126,126,125,125,126,128,131,133,131,130,131,133,134,135,137,138,138,139,139,137,136,137,137,137,138,136,134,134,136,138,138,136,134,134,132,129,129,130,132,132,132,132,134,135,135,137,138,139,139,140,141,140,139,138,139,140,140,139,138,137,136,134,132,131,132,131,129,128,129,128,129,134,138,139,140,142,143,144,142,140,137,135,137,140,143,144,145,144,142,140,140,142,144,144,142,141,142,142,142,141,142,144,147,148,148,148,147,145,144,144,145,147,148,148,149,149,148,148,149,151,152,152,152,152,153,154,155,156,157,159,161,160,155,152,153,154,155,156,156,156,155,151,148,147,151,154,153,148,145,145,146,148,150,152,154,154,152,151,152,152,150,148,149,153,156,156,155,154,154,156,157,158,158,158,160,161,163,160,158,160,164,165,163,162,164,167,169,169,168,164,163,164,165,165,163,162,163,165,164,160,158,162,167,166,163,164,165,165,166,170,172,172,171,169,168,167,165,164,165,168,168,167,165,165,164,162,162,160,158,157,159,161,160,158,159,161,162,160,158,157,159,162,164,165,167,169,168,165,162,161,163,165,165,163,163,167,169,168,165,162,160,160,163,164,163,161,160,162,166,170,173,174,175,175,174,171,171,173,173,173,171,169,168,167,167,168,169,167,164,166,167,164,164,165,164,161,159,159,162,165,166,167,167,165,160,160,161,161,158,157,162,167,165,161,160,161,164,164,162,162,165,170,172,172,169,165,165,172,175,174,171,168,166,166,165,165,169,170,167,164,165,164,166,171,175,176,172,172,176,175,172,170,168,166,165,163,163,167,171,168,164,162,162,164,166,165,162,159,160,164,163,160,157,155,154,157,159,158,156,154,155,156,159,162,161,157,152,150,149,150,153,156,157,158,null],[123,127,129,127,125,124,123,122,119,120,122,123,124,127,129,128,128,130,132,130,126,127,129,130,129,128,129,131,131,130,129,129,128,126,125,125,126,126,126,128,129,129,125,124,126,129,131,130,128,126,126,126,126,126,126,127,129,131,129,128,128,127,124,123,123,125,127,128,126,126,127,126,126,127,127,128,129,131,132,132,130,127,128,129,131,131,130,126,124,126,129,132,132,133,133,132,131,129,129,130,130,130,132,131,130,128,126,125,124,123,124,125,124,124,124,124,124,124,123,122,121,122,124,127,128,129,130,132,134,135,136,137,136,135,135,136,135,135,137,137,136,137,137,136,136,138,139,137,135,135,136,135,133,131,130,130,132,132,132,132,133,134,136,137,139,139,138,138,138,138,137,137,139,139,138,136,136,137,136,133,130,130,130,128,125,124,123,127,132,134,135,137,140,142,141,139,138,137,137,139,142,145,146,145,144,141,138,139,143,146,144,141,139,140,141,141,140,140,144,147,148,147,146,145,145,146,147,148,147,145,146,148,149,148,147,149,151,151,151,150,150,152,154,156,157,158,159,159,159,156,152,151,152,153,155,156,155,152,149,146,146,149,152,151,146,144,145,147,149,150,152,154,154,152,150,152,153,152,150,151,154,156,157,156,156,157,157,157,159,160,160,160,161,162,162,161,163,165,166,165,162,162,164,167,169,169,167,165,164,162,163,165,163,161,162,162,161,159,161,164,163,161,164,168,167,167,168,169,170,171,171,170,167,165,165,168,169,168,165,165,167,166,163,161,159,157,157,157,159,158,156,160,163,164,163,160,158,158,160,162,164,167,169,169,168,166,163,161,161,162,164,166,166,165,165,163,161,160,161,163,162,162,164,166,168,168,168,168,171,174,172,171,172,173,174,173,170,167,168,169,167,165,166,169,171,170,171,170,168,169,169,165,160,160,162,166,168,166,162,163,162,158,157,159,161,160,158,160,164,166,164,160,160,163,167,167,164,165,169,174,173,169,167,169,176,178,174,169,166,167,166,166,167,170,169,165,164,165,166,170,175,177,174,172,173,178,177,174,171,169,168,166,163,163,163,164,164,163,161,161,162,162,162,161,160,161,164,163,160,159,157,155,156,158,159,157,154,153,155,158,159,158,155,151,150,150,152,155,158,159,157,null],[124,127,127,125,123,121,122,122,120,120,122,124,126,129,129,128,127,128,130,127,124,124,127,128,127,127,128,131,131,130,128,127,127,127,126,125,125,126,127,128,127,125,121,122,126,130,131,129,127,126,126,125,124,124,126,127,129,130,129,127,126,125,124,123,124,126,126,124,123,124,127,127,127,129,130,129,130,131,131,130,128,128,129,130,130,131,130,128,125,127,129,130,130,130,129,130,130,130,130,130,131,131,133,133,131,127,125,124,123,123,124,124,124,124,125,125,124,122,120,120,121,122,123,124,125,126,129,131,133,134,136,135,134,132,133,135,136,137,138,137,136,136,137,138,138,139,140,138,137,137,137,137,135,133,131,130,132,133,134,133,132,132,134,136,137,138,136,135,135,136,137,138,139,138,137,137,138,139,138,134,131,129,129,129,128,125,123,125,127,129,131,134,137,139,138,135,136,138,141,142,143,145,144,143,140,137,136,139,142,144,142,139,137,138,141,142,141,142,143,145,145,144,142,143,145,146,148,148,145,142,144,146,147,146,145,147,149,149,148,147,149,152,154,155,156,156,156,157,157,156,153,151,149,151,155,156,154,151,149,147,146,147,148,147,144,144,147,150,150,151,151,153,154,152,151,152,152,151,150,151,152,153,154,154,156,158,158,157,158,160,160,159,159,161,164,165,165,165,166,164,161,161,163,165,167,169,169,169,166,163,162,163,162,160,159,161,162,161,160,161,159,160,166,170,170,169,168,168,169,170,172,171,167,166,168,170,169,167,165,166,167,167,164,162,160,159,157,155,156,157,158,161,164,164,164,162,159,157,158,160,163,165,167,167,169,168,164,159,158,160,165,168,166,163,162,163,163,160,159,161,162,164,167,168,167,166,165,165,166,167,167,168,172,172,172,172,170,168,167,167,166,166,169,172,173,173,172,171,170,171,170,166,162,162,164,168,169,165,160,159,159,160,160,161,162,162,161,160,161,164,164,160,159,162,167,170,169,167,169,173,175,172,171,174,178,178,175,171,170,170,167,166,169,170,167,164,163,165,167,171,175,175,175,175,176,176,176,173,170,168,168,167,165,164,163,162,161,162,163,163,162,159,159,161,161,162,163,161,158,157,157,156,156,158,160,158,154,152,154,156,155,152,151,151,152,153,154,155,156,156,155,null],[123,124,123,122,121,121,122,123,121,120,121,125,128,131,130,128,126,126,126,124,121,122,125,125,126,128,129,130,130,129,128,128,129,129,126,124,124,125,126,127,126,123,121,122,126,131,131,129,126,125,125,125,124,124,126,127,127,127,126,125,125,125,124,123,124,126,124,122,122,125,126,127,128,131,130,128,128,128,128,127,128,130,130,128,128,129,130,130,128,129,129,129,127,126,126,127,128,131,131,130,129,130,132,132,129,125,124,125,125,125,125,125,125,124,124,124,124,123,120,121,125,128,127,126,125,125,128,130,131,132,133,133,131,131,134,137,138,139,139,137,136,136,137,138,137,138,140,140,139,139,137,136,135,134,132,130,130,134,137,136,133,131,131,133,136,136,135,134,133,134,137,138,139,138,138,139,140,139,139,137,134,130,130,134,134,130,127,125,123,124,128,131,134,135,134,133,134,138,142,143,143,143,141,137,134,132,133,137,139,139,138,137,138,139,142,144,144,144,142,141,140,139,140,142,145,146,146,145,142,141,143,144,144,144,144,145,147,147,146,146,149,152,153,154,154,154,154,154,155,155,154,152,149,150,154,156,154,152,151,149,147,146,145,143,143,146,149,151,151,151,151,152,153,153,152,151,150,149,149,150,151,151,151,153,155,158,159,158,157,157,157,157,157,159,164,167,165,163,163,161,160,161,163,164,165,168,170,171,169,165,162,161,160,160,160,160,161,161,160,159,158,160,165,168,169,170,171,171,170,169,170,169,167,168,170,170,169,168,168,167,167,166,165,164,162,160,157,155,155,157,161,163,163,162,162,162,158,156,157,160,162,163,164,165,168,167,163,159,158,160,164,167,165,162,161,164,164,160,158,159,163,165,166,164,162,163,165,166,164,163,164,169,172,171,170,172,173,171,167,165,164,168,173,174,172,170,170,171,172,172,170,167,165,165,167,169,170,166,161,159,160,164,165,164,163,163,164,162,160,162,162,161,161,163,165,170,173,171,171,174,177,177,175,176,179,179,178,176,176,174,169,168,171,170,167,165,164,165,168,170,171,173,176,179,178,174,172,170,168,166,167,167,167,167,168,167,163,163,166,167,164,162,161,162,162,162,161,160,157,156,156,155,156,156,158,156,154,152,153,153,151,149,150,153,156,157,156,155,154,154,153,null],[122,121,120,119,120,122,122,122,123,123,123,126,129,130,129,128,127,124,122,121,123,125,126,126,127,128,128,127,127,128,129,129,129,128,125,122,123,125,125,125,123,123,124,125,126,129,130,130,128,125,124,124,125,126,125,125,125,125,124,123,124,125,124,124,125,127,126,124,124,125,125,126,127,128,127,125,125,126,127,128,130,131,130,128,127,127,129,131,131,129,127,125,125,125,124,126,128,132,133,130,128,128,129,129,126,124,124,125,125,125,125,126,126,124,124,124,127,128,127,127,130,133,132,129,127,127,129,131,130,130,130,131,131,133,135,137,137,138,138,137,136,136,137,137,138,138,139,139,139,138,137,136,136,135,132,129,129,133,136,136,133,131,130,132,134,135,135,135,135,135,137,137,136,136,138,140,139,138,139,139,136,132,133,138,139,134,130,126,122,123,125,129,131,133,133,133,133,135,139,141,142,141,137,132,130,129,131,134,136,137,136,136,138,140,142,143,145,145,142,137,136,137,138,142,144,144,143,142,140,141,143,143,142,143,145,146,147,147,148,150,151,152,152,152,153,153,152,153,153,152,152,151,151,152,155,156,154,153,152,150,148,146,144,143,145,148,150,150,150,150,149,149,151,153,152,151,149,148,150,153,154,154,153,155,157,158,158,157,156,155,155,156,157,158,162,165,164,162,160,159,160,163,165,165,164,166,169,170,168,165,161,160,161,163,162,161,159,159,158,159,161,164,163,163,166,169,172,173,171,169,169,167,166,168,171,171,170,171,170,168,166,166,167,166,163,159,157,157,156,157,160,162,161,158,159,161,157,155,157,160,161,161,162,165,166,165,163,160,158,159,162,164,162,160,160,162,162,158,158,159,162,162,161,159,159,162,167,168,167,166,167,171,173,170,168,170,173,172,166,163,165,170,173,171,169,168,171,173,174,173,171,170,169,169,171,172,171,168,164,161,163,167,167,163,162,165,167,165,161,162,163,164,166,166,167,170,174,175,174,176,178,178,175,176,180,180,180,179,179,177,174,172,173,170,167,167,168,169,170,171,171,173,177,177,176,173,170,168,167,167,167,167,168,169,170,170,167,167,169,168,166,164,164,163,162,161,161,160,159,158,157,154,153,153,154,152,151,152,152,151,151,151,153,156,160,160,157,156,156,156,155,null],[121,120,120,117,119,123,122,121,125,126,126,127,128,128,128,127,126,123,120,121,125,129,128,128,127,127,127,125,124,126,128,128,128,126,123,120,121,125,125,123,123,124,126,125,125,127,130,129,127,124,121,123,126,126,123,124,124,124,123,122,124,125,126,126,127,129,128,126,126,124,124,124,124,123,123,123,124,125,128,130,131,131,130,128,126,126,129,132,133,128,124,123,125,127,126,127,130,133,132,130,126,125,126,126,124,123,123,124,124,124,125,126,125,124,124,126,130,133,134,134,135,136,135,132,130,130,132,134,132,129,128,128,131,134,135,134,133,134,135,136,136,136,136,136,137,138,139,139,137,137,137,137,138,136,132,129,130,131,133,134,133,131,129,131,134,136,136,136,137,138,138,137,135,136,137,138,138,137,138,139,136,133,135,140,142,137,131,126,124,123,124,126,130,132,133,133,134,135,136,137,138,137,134,131,129,128,130,132,134,135,134,134,137,139,141,141,142,142,139,135,135,136,138,141,143,142,141,139,139,141,143,143,142,144,146,147,149,150,151,153,153,151,150,151,153,152,151,152,152,151,150,151,153,154,156,155,154,153,152,151,149,147,144,143,145,148,149,149,149,147,146,147,150,151,151,150,148,148,150,154,156,155,154,156,158,157,155,154,154,155,155,158,158,157,159,162,161,159,159,159,161,165,166,166,165,166,168,168,166,164,163,162,163,165,165,162,158,157,159,162,166,167,164,163,165,168,170,170,170,170,169,168,166,167,170,171,172,171,171,170,168,167,169,167,164,158,157,157,158,157,156,158,158,156,158,161,156,154,158,160,160,159,162,164,164,163,163,161,158,158,160,160,158,157,157,158,158,157,159,161,162,161,161,161,161,164,168,170,171,172,172,172,172,168,165,168,172,171,165,162,166,168,168,168,169,170,173,175,176,174,172,172,172,172,173,173,172,169,168,166,166,167,165,162,162,164,167,165,162,163,165,167,171,173,172,172,174,177,178,178,176,174,173,175,178,179,178,178,178,178,178,177,175,171,168,169,172,173,171,170,171,173,174,173,171,170,169,167,166,165,165,165,167,170,170,168,169,169,169,167,165,164,164,163,160,159,161,161,161,160,156,152,151,153,153,151,150,153,154,153,154,155,154,157,159,160,159,160,161,161,158,null],[121,122,122,118,119,123,123,122,124,126,127,126,126,126,126,125,123,122,121,123,126,127,127,127,126,125,125,124,123,125,127,128,127,124,121,119,120,125,126,122,123,125,125,123,124,127,129,127,124,121,120,122,125,124,121,123,125,123,122,123,124,125,126,127,128,128,128,127,127,125,123,122,122,121,123,124,126,127,129,130,129,129,128,127,125,126,129,132,133,128,124,123,126,129,129,129,130,131,130,127,125,124,124,124,122,121,121,122,123,124,125,125,125,125,126,128,131,134,136,137,137,137,135,134,133,132,134,136,134,130,128,128,130,133,133,132,130,131,133,134,135,135,134,134,136,138,139,138,137,138,138,137,137,135,133,133,133,131,130,132,134,132,129,130,135,137,137,137,139,141,140,139,138,136,136,136,136,136,137,137,136,134,136,140,143,139,132,127,125,125,125,126,129,132,133,134,136,136,135,134,134,134,133,132,130,129,129,131,133,134,133,132,134,136,137,138,138,136,135,135,136,137,139,140,142,142,141,140,140,143,145,145,143,144,145,146,150,152,152,152,152,149,148,150,152,152,152,152,152,151,150,150,152,154,155,154,153,152,151,150,149,147,144,141,142,145,148,148,146,144,145,147,149,149,148,148,148,147,149,152,154,154,154,155,155,154,153,153,154,156,159,161,160,158,159,160,158,156,159,163,164,165,165,165,166,167,167,166,165,166,166,165,164,164,165,162,158,157,161,166,168,167,167,167,167,167,166,167,169,171,171,170,167,166,169,171,171,169,171,172,170,168,168,167,164,159,156,156,157,156,154,154,154,155,159,160,155,154,158,158,157,158,161,163,161,161,161,160,159,159,159,157,155,155,155,155,156,157,160,163,163,163,165,166,165,167,168,170,172,173,173,173,171,165,162,166,169,168,164,163,166,166,166,168,171,173,174,174,174,174,172,173,173,171,171,171,169,170,171,171,169,166,164,164,164,164,165,163,163,165,168,171,176,178,177,174,173,177,179,178,173,170,171,173,175,175,176,177,179,179,179,179,177,172,169,170,173,173,170,167,169,170,171,170,168,167,167,167,165,162,161,162,165,168,166,165,168,169,166,164,164,164,163,159,156,156,159,160,159,158,155,153,153,155,156,154,152,154,156,157,159,157,154,154,156,159,162,164,166,164,161,null],[122,125,124,121,121,123,124,123,123,124,125,124,124,125,124,123,122,122,122,124,124,122,123,124,124,124,124,122,122,123,127,128,127,122,121,120,121,124,123,120,120,123,123,121,122,124,125,123,120,119,120,122,123,122,121,123,124,122,122,123,124,124,125,126,127,127,127,128,129,127,123,122,123,124,125,127,128,129,129,128,126,126,127,127,125,125,128,131,131,128,125,124,127,129,129,129,129,129,127,124,123,123,124,124,122,120,120,121,121,122,123,125,126,129,130,129,130,132,134,136,136,135,134,134,134,134,135,136,135,132,130,129,130,131,133,134,133,131,131,133,134,133,133,133,134,136,138,138,138,139,138,136,135,134,135,136,135,131,130,132,134,133,130,129,132,135,135,135,138,141,141,140,138,137,136,136,136,136,135,136,137,137,136,138,140,140,135,130,128,127,127,127,128,130,133,135,135,135,135,134,134,134,133,133,132,130,130,131,133,134,134,134,134,135,135,136,136,135,135,137,138,139,140,140,141,143,143,143,144,146,146,145,144,144,144,146,149,150,150,150,151,150,149,150,150,151,152,153,152,152,151,150,151,153,154,153,151,150,150,149,148,147,144,141,142,145,147,146,144,144,146,149,150,148,147,149,149,147,147,150,153,156,155,155,153,152,154,156,157,159,163,163,160,158,158,158,156,156,161,165,167,165,163,163,165,166,165,164,164,165,166,165,163,162,163,161,158,159,163,166,165,164,167,169,167,165,165,167,169,172,172,170,168,166,167,168,168,168,171,173,171,169,169,167,165,161,158,156,157,157,155,154,155,154,156,156,154,154,156,156,155,158,160,161,161,160,158,157,159,160,159,156,155,155,157,157,158,159,160,161,162,164,165,165,166,168,170,171,171,170,170,171,172,165,160,163,165,164,163,164,168,168,167,168,171,173,174,173,171,171,172,174,174,170,167,167,168,172,176,176,171,166,166,168,167,165,165,165,167,169,170,172,177,179,177,173,171,173,175,174,171,170,172,173,173,175,177,179,181,182,179,177,175,172,169,168,170,171,169,166,165,168,171,170,169,168,169,168,165,162,160,160,163,163,161,160,165,166,164,162,163,165,162,157,155,155,156,156,156,156,157,157,156,155,157,157,155,154,156,159,161,159,157,155,155,159,164,168,167,163,161,null],[123,126,126,124,123,124,124,123,122,122,122,124,124,124,123,124,123,121,122,123,122,119,118,121,123,123,122,121,122,123,125,127,125,122,121,121,121,120,117,115,116,119,120,119,119,120,121,119,119,119,119,119,120,120,121,121,120,119,120,122,123,124,125,125,126,126,127,129,130,128,124,123,126,128,129,128,128,128,127,125,124,124,125,126,126,126,127,129,130,128,126,125,126,128,129,129,128,127,125,122,121,121,122,123,123,122,121,121,120,121,124,127,128,131,132,129,129,130,132,132,132,132,133,134,134,135,135,136,136,134,132,132,131,129,132,136,137,135,132,132,132,131,131,133,134,135,136,137,139,139,139,137,135,134,137,137,135,132,132,133,135,133,130,129,129,130,131,133,136,138,138,137,136,136,137,138,138,137,136,138,140,140,138,137,138,140,139,135,132,131,130,128,128,130,132,133,133,134,134,134,133,133,133,133,132,131,130,131,134,136,137,137,138,138,137,137,136,136,138,140,140,140,140,140,141,144,146,146,147,147,146,145,145,145,146,146,148,149,149,149,150,150,150,150,150,151,153,153,152,151,150,150,150,152,153,152,151,151,150,149,148,146,144,143,144,146,146,143,142,144,147,148,149,147,146,150,151,148,147,149,154,157,157,154,152,153,155,158,159,162,165,164,159,156,155,156,156,159,163,165,165,164,162,161,164,165,163,162,162,163,163,163,162,160,160,158,157,159,162,162,161,162,165,166,164,164,166,169,170,172,171,169,167,165,164,164,166,168,170,171,170,169,169,167,165,163,160,158,158,159,159,158,157,155,154,153,154,154,153,153,154,156,159,160,162,160,156,156,160,161,158,155,155,157,159,160,161,161,160,160,161,163,161,160,163,167,172,172,169,166,165,168,172,168,162,161,161,161,163,167,170,171,168,167,169,171,173,171,168,168,173,175,173,168,166,167,170,174,178,177,173,169,170,172,169,166,168,172,174,174,172,171,176,178,174,171,170,171,172,172,174,175,176,175,174,176,178,179,182,183,178,174,172,169,167,166,167,168,168,165,163,167,171,170,169,169,169,168,165,163,162,162,161,161,158,157,160,162,161,160,161,164,161,157,157,157,156,156,156,157,159,161,157,154,156,158,158,156,157,160,162,161,160,159,158,161,165,168,165,161,160,null],[121,124,125,123,123,124,123,122,123,124,124,125,123,121,123,124,123,120,120,122,122,119,118,119,121,122,121,122,124,123,122,121,121,122,120,119,118,114,111,111,114,117,116,115,117,118,118,117,118,118,116,116,118,119,119,116,115,117,119,121,123,125,125,124,125,126,127,128,129,127,125,125,128,131,131,128,127,125,123,123,122,122,123,125,127,127,127,128,129,129,126,124,125,127,128,128,128,127,124,122,120,119,119,122,124,125,123,123,122,124,128,131,131,131,130,130,130,131,130,129,129,132,134,134,134,134,136,137,138,135,134,134,132,128,130,136,138,137,135,132,131,130,130,131,133,135,135,137,138,139,140,140,137,137,138,136,134,134,136,136,135,133,132,131,129,128,128,131,133,134,134,134,135,136,137,138,138,138,138,140,142,143,141,138,138,140,141,140,137,135,132,129,129,131,131,130,131,132,133,132,131,131,132,133,133,132,130,131,134,137,139,140,143,144,142,138,136,136,138,139,139,139,139,140,143,144,144,144,145,145,144,144,145,146,147,147,148,149,150,150,149,148,148,148,151,152,151,151,151,150,149,150,150,150,151,152,152,152,151,149,147,145,144,144,145,146,145,142,142,144,145,146,146,145,145,149,152,151,148,148,151,154,155,152,151,153,154,155,158,162,166,164,159,154,153,156,158,161,162,162,161,162,162,162,165,166,164,160,159,160,161,161,161,160,158,156,156,158,159,159,160,161,163,163,162,166,168,168,169,171,171,169,166,164,163,163,166,169,169,167,166,166,167,167,168,166,162,159,162,163,163,161,158,156,154,155,156,155,152,153,154,155,157,159,162,160,157,157,160,160,157,154,154,156,158,160,161,162,161,162,162,162,160,159,161,165,169,170,168,165,163,165,168,167,164,162,161,162,165,170,172,170,165,165,168,170,171,169,165,167,173,175,171,166,166,169,172,176,178,177,173,171,172,171,169,169,173,180,181,177,172,171,175,177,172,170,171,173,175,176,178,180,179,177,175,174,173,173,178,180,176,171,169,167,166,165,166,167,166,164,164,167,169,167,166,167,166,165,164,164,165,165,164,163,160,157,157,158,158,157,157,160,159,158,161,162,160,160,159,157,159,162,159,156,155,159,161,161,160,163,164,164,162,162,163,164,164,164,163,162,161,null],[119,122,123,122,122,123,123,123,124,124,124,124,122,120,122,125,123,120,119,121,123,122,119,118,119,120,121,122,122,120,117,115,116,118,118,116,115,112,111,111,114,115,113,113,116,117,117,116,116,116,115,117,120,119,117,114,116,119,121,121,123,123,123,123,123,124,125,127,127,126,125,125,128,129,130,127,125,122,121,121,120,119,120,123,125,126,126,126,127,128,126,123,123,125,127,127,126,126,124,122,120,118,119,121,123,125,125,125,126,128,130,132,133,130,128,130,133,134,132,130,131,133,135,134,134,136,137,139,139,137,135,134,132,130,131,134,137,138,136,133,130,130,131,131,131,133,135,137,138,138,140,142,141,139,138,135,133,136,139,139,137,135,135,135,133,130,129,130,131,130,131,134,137,138,138,139,139,139,139,140,142,144,144,141,140,141,142,141,140,138,136,132,130,130,129,128,128,130,131,130,128,129,131,132,132,132,131,131,133,137,139,142,146,148,145,140,136,136,137,137,137,137,137,139,142,143,142,141,142,141,141,142,144,145,145,146,147,148,150,150,147,144,144,147,150,151,149,149,151,149,148,150,150,150,150,151,152,151,150,147,145,144,144,143,143,145,146,146,146,146,146,145,145,146,147,149,151,152,150,148,149,151,151,151,152,153,153,154,157,162,164,162,157,154,154,157,159,161,161,160,158,159,162,166,168,168,166,162,160,160,160,159,160,161,158,156,156,157,158,160,161,161,160,160,163,167,168,167,167,168,168,168,167,166,163,164,167,168,167,165,164,164,165,167,168,167,164,163,165,166,164,161,159,157,156,157,159,157,153,152,155,157,158,158,158,158,157,157,157,156,155,154,155,157,158,159,159,160,161,162,164,165,164,163,163,165,166,165,166,166,164,163,162,161,162,162,164,166,166,169,170,167,162,163,167,169,171,168,164,165,169,171,170,167,166,168,171,175,177,175,171,172,173,173,170,171,176,182,181,177,171,170,174,176,171,169,172,175,178,177,177,178,177,176,174,170,169,170,174,175,171,169,170,169,167,165,166,167,164,163,164,166,166,166,166,166,165,162,161,163,165,166,166,166,162,158,157,157,158,158,157,157,158,161,164,164,163,164,161,156,155,159,161,160,157,158,162,163,163,164,164,162,160,162,167,166,161,159,160,162,162,null],[120,121,121,121,121,122,123,124,123,123,123,123,121,120,121,123,122,119,118,120,123,122,120,118,117,118,120,120,119,116,114,114,114,115,115,115,114,114,115,116,116,115,114,114,116,116,116,115,115,116,117,120,123,120,117,118,122,124,123,121,121,120,120,122,122,121,122,124,124,123,123,124,125,126,128,127,123,120,121,120,118,117,117,120,123,124,125,123,122,124,125,123,122,123,125,125,124,124,124,123,121,120,120,121,121,123,125,126,128,130,130,132,133,129,128,131,134,136,135,135,134,135,135,134,135,137,139,140,139,137,136,134,133,134,134,134,137,137,134,132,131,132,133,133,132,131,133,136,137,137,138,141,142,141,138,135,134,137,141,141,139,137,137,139,138,134,131,130,128,128,131,135,138,140,140,139,139,140,139,140,142,143,143,142,142,142,142,142,141,141,139,134,130,128,128,129,129,131,131,129,128,129,131,131,132,132,131,131,132,136,140,143,145,147,146,141,138,137,137,136,137,136,135,137,141,142,141,140,138,138,138,140,142,142,142,142,143,145,147,147,145,142,143,147,149,149,148,149,150,148,147,149,150,150,150,150,150,149,147,145,144,145,144,143,143,146,149,150,150,149,148,147,147,150,152,151,150,152,152,151,151,151,149,150,153,154,155,158,161,163,163,159,156,155,157,159,160,159,160,160,159,158,162,168,170,169,167,165,163,162,160,158,158,160,158,156,156,157,159,160,162,162,160,160,163,166,167,167,166,164,164,167,169,168,165,165,165,165,166,165,164,163,164,166,167,167,166,166,167,166,163,162,160,158,157,159,161,159,154,152,155,160,160,157,155,155,155,155,154,153,154,156,159,161,160,159,159,159,160,162,165,168,168,166,164,164,164,162,164,167,167,163,158,157,160,164,168,169,166,165,167,164,160,162,166,168,169,168,164,162,164,168,169,168,166,165,167,173,176,173,169,171,174,175,172,171,176,179,178,175,172,170,173,174,171,170,172,175,175,173,173,173,172,172,170,168,169,170,171,170,168,168,170,172,170,166,165,166,163,162,164,164,164,165,168,169,167,162,159,160,164,166,165,165,163,161,160,159,159,161,161,158,160,164,165,164,164,163,160,155,154,157,162,163,160,159,161,163,163,162,161,158,156,160,165,165,160,156,158,162,163,null],[121,121,119,119,119,120,122,123,122,121,122,121,121,122,121,120,119,118,118,118,119,120,120,119,117,117,119,119,117,117,116,116,116,117,117,117,116,116,118,120,118,115,115,117,119,119,117,116,116,119,121,122,122,121,122,124,126,125,123,120,119,118,118,121,122,121,121,121,120,120,120,121,122,123,126,126,122,120,120,120,117,117,117,119,121,123,122,120,119,120,122,122,122,123,124,125,124,124,123,122,121,120,121,121,122,123,124,124,127,130,132,133,132,130,130,131,133,134,136,136,134,134,135,135,135,137,140,141,139,137,135,132,132,135,135,135,136,135,132,133,133,133,134,135,134,133,134,134,134,133,135,139,142,142,140,137,136,138,141,142,139,137,138,142,142,137,132,130,129,130,132,134,135,137,138,136,137,139,140,140,141,140,139,139,141,142,142,142,143,142,139,135,131,130,133,136,136,135,134,131,130,131,132,132,133,133,133,132,133,136,141,144,143,143,143,142,140,139,138,136,136,136,136,138,140,140,140,139,136,135,136,139,141,140,140,141,141,142,144,145,145,144,145,148,149,147,146,147,148,148,149,150,150,149,148,149,149,148,145,142,143,146,147,146,146,148,150,150,149,149,149,149,149,152,154,152,150,151,152,153,154,152,150,151,154,156,160,164,165,165,164,159,156,158,161,162,159,157,159,161,161,160,162,167,169,168,166,165,165,165,162,158,157,156,155,156,157,158,159,159,162,164,163,163,164,165,166,166,166,164,163,165,169,169,167,164,163,163,165,166,165,163,164,167,167,167,167,168,168,165,163,163,162,158,157,158,159,158,154,152,155,160,160,157,154,154,154,154,154,154,155,158,162,164,163,162,162,161,161,162,166,169,170,166,162,163,163,162,163,165,166,162,158,160,165,168,169,167,165,165,166,163,159,162,165,165,165,164,164,163,164,168,169,167,165,165,167,172,174,171,168,170,174,175,171,171,176,178,175,175,173,171,172,173,172,170,170,171,170,168,172,175,173,169,167,167,168,168,167,166,166,167,169,171,171,167,165,163,160,161,165,164,162,162,166,169,167,161,158,160,165,166,164,163,162,162,163,161,160,164,164,159,161,166,167,166,163,160,158,157,157,158,162,164,163,163,164,164,162,159,158,156,154,157,162,162,159,156,157,160,162,null],[120,120,119,118,118,118,120,122,121,120,120,120,120,121,119,117,116,118,118,117,117,118,119,120,117,116,118,119,119,120,119,118,119,121,120,120,120,120,120,121,120,117,116,119,123,123,121,119,120,123,124,122,121,122,125,128,127,125,122,120,118,118,118,121,123,123,121,118,118,119,119,118,119,121,122,122,121,120,119,119,118,119,119,120,120,122,122,121,119,119,119,120,121,123,124,124,124,123,122,120,119,119,120,122,124,124,124,125,127,130,134,136,134,133,132,131,130,131,134,134,131,132,135,135,135,137,140,141,140,137,134,132,132,135,136,136,135,133,132,134,136,135,134,135,136,137,137,135,133,132,135,139,141,142,141,140,139,139,142,142,139,137,139,144,144,138,132,131,132,134,133,132,132,132,133,132,135,138,140,139,138,136,136,137,139,140,140,140,141,140,138,136,134,135,139,142,142,140,136,132,130,131,132,133,133,133,133,133,135,137,140,142,141,140,141,142,142,141,139,137,136,137,137,139,140,140,139,138,136,135,137,140,142,143,143,143,143,143,143,144,146,146,147,150,149,147,147,147,148,149,151,151,149,147,146,147,148,148,146,143,143,146,147,147,147,148,148,147,146,147,149,150,150,151,152,153,152,152,152,154,155,154,152,154,156,159,164,167,167,166,164,160,157,158,161,162,159,157,159,162,164,163,164,166,167,166,163,163,164,164,161,157,155,155,155,158,161,161,160,162,165,167,167,166,165,163,163,165,166,165,162,163,167,169,167,163,161,162,165,166,164,163,164,167,167,167,166,166,166,164,164,164,163,159,157,156,156,156,154,152,153,157,159,158,156,155,155,156,157,157,157,159,163,166,165,165,165,164,164,164,166,169,169,165,161,160,162,162,161,161,162,160,160,165,171,171,166,163,164,168,168,162,158,162,164,162,159,159,162,164,167,169,167,163,163,167,170,173,174,169,165,168,172,173,171,172,177,177,176,176,173,170,173,174,171,169,169,168,166,168,174,178,177,172,167,167,167,165,163,164,167,168,167,167,168,167,166,163,160,161,163,163,161,159,163,167,165,161,158,161,165,165,164,163,163,163,164,163,161,164,165,162,163,167,168,165,161,158,157,160,161,161,163,164,165,166,166,163,159,157,158,157,155,155,157,158,158,156,157,159,160,null],[118,118,119,119,118,118,119,120,119,119,119,119,118,118,116,116,116,118,119,118,117,116,118,119,116,115,117,119,120,120,119,119,121,122,122,123,125,125,124,123,122,120,119,121,125,127,125,123,123,125,125,124,123,122,123,126,128,128,126,122,117,117,119,121,123,123,121,119,119,121,120,118,116,118,118,118,119,119,118,118,118,120,122,121,120,121,122,123,122,120,119,119,119,121,123,123,121,122,121,119,118,119,121,124,125,124,125,127,128,130,134,137,137,136,134,131,129,130,131,131,130,133,136,137,136,136,138,140,140,138,135,132,133,136,136,135,134,133,134,136,137,138,135,134,137,140,140,137,136,136,138,140,141,141,141,140,139,140,142,142,140,138,140,143,143,138,134,133,135,135,133,133,133,132,131,131,135,138,137,136,135,135,136,136,137,138,137,137,139,138,137,138,138,140,141,142,142,140,137,132,130,131,132,133,133,132,132,133,135,136,138,139,140,141,141,143,144,142,140,138,138,138,138,137,138,139,139,138,138,138,139,141,144,146,147,146,146,145,144,145,147,147,148,148,148,147,148,149,150,150,150,149,146,145,144,144,146,148,149,146,144,145,145,145,146,146,146,144,144,147,150,152,151,151,151,154,155,154,154,155,156,155,154,156,158,159,162,165,165,164,161,158,156,156,158,159,159,158,159,162,164,165,167,168,167,165,162,161,162,161,158,156,155,157,160,164,166,165,165,167,169,168,168,168,167,163,161,162,166,166,162,161,166,168,166,162,161,163,164,164,162,161,163,165,166,165,164,163,163,163,163,164,163,160,158,156,154,154,154,152,151,155,158,157,157,156,156,159,160,159,157,158,163,166,165,165,167,167,166,166,167,168,167,165,162,159,158,159,159,158,158,160,163,167,170,168,163,161,166,170,167,161,158,161,162,159,157,158,160,164,167,167,163,161,163,168,170,174,174,168,164,166,170,173,173,173,176,176,175,175,172,169,173,173,168,168,170,170,169,171,174,177,179,176,171,168,167,165,163,163,167,169,167,164,164,167,168,166,164,162,161,161,159,158,161,164,164,161,160,160,161,162,164,164,164,164,165,164,162,164,166,166,166,165,165,163,160,158,157,159,161,163,163,164,165,166,166,161,157,157,159,160,157,155,155,156,156,156,156,158,157,null],[114,115,118,119,118,117,116,117,119,119,117,116,116,116,116,117,120,122,120,118,116,114,116,118,118,116,117,118,118,119,119,120,122,123,122,124,128,129,127,126,124,123,122,123,125,127,127,123,124,127,126,126,125,122,121,125,130,132,132,126,118,117,119,121,121,122,121,121,122,123,122,117,114,115,117,117,118,118,119,118,118,119,119,120,119,120,121,123,123,123,121,120,120,121,122,122,121,121,121,120,122,124,125,125,125,124,125,127,127,128,131,134,136,136,135,133,132,131,130,130,131,133,137,138,138,136,136,138,139,138,135,133,135,137,137,134,133,134,137,138,139,139,136,134,136,137,138,137,138,139,139,140,140,140,140,139,140,142,143,142,141,139,140,142,141,138,136,137,138,136,133,133,136,135,132,131,134,137,135,133,135,136,137,137,137,136,135,136,138,139,139,140,141,141,141,141,140,138,136,134,133,133,133,133,133,132,131,132,134,135,137,141,144,144,144,145,145,143,141,141,141,141,139,137,137,140,142,141,141,140,139,140,143,146,147,146,146,147,147,148,149,147,146,145,145,145,147,150,150,148,145,143,142,141,140,140,143,147,148,146,144,144,144,145,146,146,145,145,146,148,150,152,153,153,154,155,156,156,156,156,157,155,154,157,158,158,159,162,164,163,158,155,155,156,157,158,159,159,159,161,163,165,167,169,168,166,164,163,162,161,159,158,156,158,164,167,167,165,166,170,170,167,167,167,166,162,159,161,164,164,161,162,167,168,165,161,161,163,162,160,159,160,162,165,165,164,162,161,160,160,160,162,162,160,158,155,153,152,153,151,152,157,157,154,155,157,159,161,161,160,158,159,162,163,163,164,167,168,168,166,165,164,165,166,166,162,158,157,157,159,161,164,166,165,162,163,162,163,169,169,164,159,158,158,158,157,159,160,160,161,165,164,163,164,165,167,168,171,171,168,167,169,172,174,175,175,173,173,172,171,169,169,171,170,165,167,172,173,174,176,175,174,177,178,175,170,167,165,162,160,164,167,168,164,162,166,169,167,166,164,162,162,161,159,160,162,163,162,160,158,156,158,162,164,165,165,167,166,163,163,165,167,167,164,163,161,161,160,159,158,159,162,162,163,164,166,165,162,160,159,161,161,160,158,156,156,157,156,155,154,153,null],[113,112,116,118,117,115,114,116,118,119,118,116,116,118,119,120,124,125,122,118,116,113,115,119,122,121,119,117,117,118,120,122,124,124,123,125,129,130,128,127,126,126,126,126,125,127,127,123,123,126,127,127,126,123,123,125,130,134,135,130,123,120,120,121,121,121,122,122,123,123,122,116,113,114,117,118,119,120,121,120,118,117,117,119,120,121,121,123,124,124,123,123,123,122,122,122,122,121,122,126,129,131,130,127,126,125,125,126,126,126,127,129,131,133,135,135,135,134,132,132,132,134,137,139,138,135,134,136,137,136,134,134,136,139,138,134,133,135,137,139,139,138,136,135,134,133,133,135,137,137,137,137,139,139,139,140,142,144,143,142,141,140,140,140,139,138,138,139,140,138,134,134,137,138,136,132,133,135,135,134,136,138,138,139,138,137,137,138,140,142,142,141,140,140,141,141,139,137,135,136,137,136,134,134,133,132,132,132,134,136,139,143,146,146,145,143,143,143,143,144,145,144,141,137,137,141,145,146,144,141,138,139,141,143,144,144,145,146,149,150,149,146,143,143,142,141,144,146,147,144,141,140,141,141,140,140,141,143,144,145,145,145,146,147,149,148,148,148,148,148,149,152,156,158,158,157,157,158,157,157,157,156,154,155,156,155,157,160,163,161,156,154,155,157,158,158,159,159,159,160,162,165,167,169,168,167,167,167,165,165,164,161,157,157,162,164,163,163,166,170,168,166,166,165,163,160,160,160,161,160,160,162,166,166,162,160,161,163,161,158,157,160,163,164,164,163,162,161,159,158,157,158,159,159,157,153,151,151,151,152,156,159,156,152,153,158,161,161,159,159,160,161,161,162,163,164,166,168,168,166,162,160,163,166,166,163,159,156,157,162,166,168,167,161,157,159,162,164,167,165,159,157,157,156,155,156,161,163,162,161,163,164,166,169,168,167,167,167,167,168,172,174,174,173,174,174,172,169,168,166,166,168,168,167,165,168,173,174,176,178,176,173,174,177,178,173,167,165,161,159,161,166,168,165,162,166,168,166,165,165,166,165,164,160,158,159,160,160,159,156,155,157,160,161,163,166,167,166,163,163,164,165,164,164,164,164,163,163,161,158,157,160,163,164,164,165,167,166,164,163,161,161,162,162,160,159,158,156,154,152,151,null],[117,114,114,116,116,115,115,116,117,118,119,119,118,121,122,124,124,125,123,120,117,115,117,122,126,126,123,119,118,119,123,124,124,124,125,126,128,129,129,128,127,128,129,128,127,127,127,125,123,123,127,128,126,126,126,126,128,133,135,134,129,124,123,123,124,123,122,121,122,122,120,117,114,114,116,119,122,124,124,123,120,120,121,123,124,124,124,125,126,125,124,123,122,123,124,125,125,125,128,132,135,136,134,131,128,126,126,127,128,127,127,127,129,131,133,135,136,135,135,134,134,135,137,138,136,134,134,135,135,133,133,134,138,140,137,134,133,134,136,138,139,139,137,135,132,131,131,133,135,135,136,137,139,139,140,142,145,146,143,140,139,141,142,139,138,139,139,139,140,140,137,136,136,138,138,134,133,134,135,137,138,139,138,139,139,139,140,142,142,143,142,140,139,141,142,142,140,137,136,137,138,138,137,136,135,133,133,135,136,137,139,142,143,143,142,140,140,141,144,146,146,145,143,139,139,142,146,148,146,143,139,139,139,140,142,144,143,145,148,149,147,144,141,140,139,139,140,142,143,142,142,142,144,145,144,143,143,142,141,144,147,149,149,149,150,150,150,151,150,149,150,153,157,160,160,160,159,159,158,157,157,157,155,154,154,154,156,159,160,158,155,154,155,157,158,158,159,160,160,160,162,166,170,170,167,166,167,168,168,169,167,162,157,156,157,158,160,163,167,169,167,163,164,164,161,160,161,160,159,158,159,161,162,162,160,160,162,165,164,160,158,160,163,163,163,163,164,163,160,158,157,156,156,158,156,152,150,150,150,155,158,158,154,151,153,158,160,158,156,158,161,162,163,164,165,166,166,167,167,165,161,160,163,165,164,160,158,157,159,163,164,164,162,158,157,160,161,161,161,159,157,156,158,159,157,156,159,163,164,164,165,166,168,171,170,170,171,170,168,170,174,173,171,170,171,172,171,167,164,165,166,166,166,167,169,171,172,172,173,175,175,175,175,177,178,174,168,165,164,163,163,165,166,163,162,166,167,164,162,164,167,166,163,160,158,157,157,157,156,156,156,158,159,160,161,165,165,164,162,163,164,160,160,164,166,167,165,163,161,159,159,162,166,167,166,166,168,167,166,164,162,161,163,163,162,161,159,155,152,153,153,null],[122,118,116,116,116,115,115,115,116,117,118,120,121,124,125,125,124,125,124,123,121,120,122,125,129,129,126,122,121,122,124,125,125,125,127,127,127,128,129,128,128,129,131,130,129,129,129,128,125,123,125,127,128,129,131,130,129,132,135,136,132,127,125,127,129,127,123,120,122,123,120,118,118,118,119,121,125,127,125,125,125,126,128,129,128,127,128,129,128,126,125,124,123,124,126,127,128,130,133,134,136,136,134,131,128,126,127,130,130,128,127,128,130,131,132,135,136,136,135,134,135,136,138,138,137,135,135,136,135,134,133,136,139,140,138,134,133,134,136,138,138,138,137,135,134,134,133,135,136,136,137,138,138,139,141,144,148,147,144,140,140,142,143,141,139,139,140,139,141,142,140,137,137,138,138,136,135,135,137,138,138,138,138,138,140,141,143,142,142,141,141,140,140,142,143,143,142,139,137,137,139,140,140,138,137,135,136,137,138,138,138,139,139,140,141,140,140,141,144,146,147,146,144,142,141,143,145,147,146,144,141,139,138,139,141,143,142,142,145,145,143,141,140,139,139,139,138,139,141,143,145,146,148,148,147,146,145,143,143,145,149,152,151,150,150,151,152,153,153,152,152,154,156,158,159,160,160,159,157,156,155,155,154,153,152,153,155,156,155,153,153,154,156,158,159,158,159,161,162,162,164,167,170,170,167,165,165,166,167,169,167,163,160,158,156,155,157,161,166,169,165,161,162,162,161,161,162,161,159,157,158,158,159,159,160,161,163,165,165,161,158,159,161,160,161,163,164,162,160,159,160,157,155,157,156,153,151,152,154,157,159,157,153,152,155,158,157,155,155,158,161,163,163,165,168,167,165,166,165,162,159,160,163,162,159,155,155,159,162,162,160,157,156,156,157,158,158,157,157,156,157,157,158,161,161,157,157,160,164,165,164,165,167,169,171,173,174,173,170,173,174,171,169,169,169,169,168,164,163,167,168,167,166,169,173,174,172,169,171,174,177,177,176,176,176,174,170,168,168,168,166,164,161,159,161,163,165,163,161,162,165,164,161,162,160,158,158,157,155,155,156,158,159,159,160,162,163,161,159,161,160,157,159,165,167,167,165,162,162,161,162,163,167,168,168,168,167,165,165,165,164,161,160,160,160,161,158,154,152,154,157,null],[126,123,121,120,118,116,114,116,118,117,116,119,123,126,126,125,124,126,127,126,126,126,127,128,128,128,127,126,125,123,123,125,126,127,128,127,126,128,129,129,129,130,130,130,130,130,130,131,129,125,124,127,129,132,135,135,134,134,136,135,131,127,127,132,135,131,126,125,126,126,122,120,122,124,124,125,127,127,125,126,129,131,131,130,128,128,129,130,130,129,128,128,127,126,127,128,131,133,133,132,132,132,130,128,127,126,128,131,130,128,127,129,130,132,134,136,137,135,133,134,136,138,139,140,140,138,136,136,137,137,137,139,140,139,138,136,134,135,138,137,135,136,136,136,137,137,136,136,137,138,139,138,138,138,140,145,148,148,145,142,141,143,143,143,143,142,142,142,143,143,141,139,138,139,138,136,136,137,138,137,137,137,137,138,139,141,141,139,139,139,141,142,142,143,144,145,144,140,138,138,140,142,140,138,139,138,137,138,138,137,136,137,138,140,142,142,142,144,145,146,146,147,146,144,143,143,144,145,146,145,142,139,137,139,140,141,140,140,140,140,139,139,139,141,143,143,141,140,142,144,145,147,147,147,146,146,147,147,148,149,151,153,152,151,152,153,154,155,155,155,154,154,155,156,157,159,158,157,156,155,153,152,153,153,154,154,153,152,152,152,152,154,157,160,160,159,160,162,165,166,166,166,167,168,168,166,164,162,163,164,165,164,163,161,158,155,155,158,163,166,163,159,159,161,162,163,163,162,159,157,156,157,159,162,163,162,162,163,162,159,157,157,158,158,159,163,163,161,158,159,161,159,156,156,156,154,153,154,157,159,159,157,153,152,156,157,154,154,156,160,162,162,162,164,166,166,163,163,161,157,156,158,160,160,157,153,156,161,164,160,156,153,152,154,154,154,155,157,157,157,159,159,159,161,162,160,159,159,161,162,162,163,164,167,171,173,173,171,170,173,173,169,168,170,169,166,164,163,165,170,172,171,169,171,175,176,173,170,171,176,180,179,176,174,174,173,172,170,170,169,167,163,159,159,160,161,161,162,161,160,160,160,161,163,163,161,161,160,158,154,153,156,158,158,159,161,161,160,157,156,155,156,160,166,167,165,163,164,165,165,164,164,166,167,167,167,165,160,162,166,164,159,156,155,157,158,156,153,153,155,159,null],[129,128,126,125,122,117,115,118,121,119,117,121,126,127,128,127,125,126,130,130,130,131,132,132,130,129,130,129,127,124,123,126,129,130,129,128,127,129,130,129,128,128,129,130,131,131,132,133,131,126,125,127,130,133,136,139,139,137,136,135,132,130,131,134,136,133,131,131,131,129,124,121,123,127,129,129,128,128,127,128,130,130,128,126,127,127,128,130,132,133,132,130,130,130,129,131,134,134,131,129,130,130,130,128,127,127,129,132,131,130,130,130,129,131,135,137,138,136,134,133,136,139,141,143,142,139,137,137,139,141,141,141,140,138,137,136,136,137,137,136,134,134,136,138,139,139,138,138,139,140,140,140,139,139,141,144,146,147,145,144,142,142,142,144,146,147,146,145,144,142,140,139,140,140,138,137,138,138,137,137,138,138,137,136,138,138,136,135,138,141,144,146,146,145,145,146,144,140,138,139,141,142,139,138,141,140,137,138,139,138,136,136,139,141,141,142,144,146,147,146,147,148,147,144,142,142,143,145,146,145,143,139,137,137,138,138,138,137,136,137,138,138,139,142,146,149,147,144,142,141,142,144,146,145,144,145,147,150,152,153,153,153,153,153,152,152,153,154,155,154,153,152,153,155,156,157,156,155,155,154,153,152,154,156,156,156,155,153,153,154,155,156,157,161,162,161,161,163,166,168,166,164,164,165,167,166,163,160,159,161,163,164,164,162,158,155,154,156,159,160,158,156,159,163,165,165,164,163,160,157,155,157,161,164,164,164,162,160,158,157,157,158,159,159,160,162,162,160,158,158,159,158,156,155,155,155,153,153,157,160,161,158,154,153,155,156,154,155,159,163,163,162,161,161,162,161,160,160,159,156,155,155,158,158,156,155,158,162,162,157,153,152,153,153,154,155,157,160,159,159,162,164,163,162,162,163,163,161,159,160,162,166,167,168,171,172,170,167,167,170,170,166,166,169,167,166,166,167,169,172,173,173,172,174,178,178,174,171,172,177,180,179,176,175,174,172,170,170,171,170,167,164,161,161,161,160,160,160,161,159,157,157,160,162,163,164,164,164,162,156,152,153,157,158,158,159,159,159,157,154,153,157,163,166,167,165,162,165,168,167,166,166,166,167,167,165,161,157,159,164,162,157,154,154,155,155,153,153,154,157,159,null],[130,130,128,128,124,118,118,122,123,123,123,126,128,127,129,129,126,127,131,132,131,133,135,134,132,130,130,130,127,124,124,127,130,132,132,130,129,131,132,130,128,128,129,131,132,132,132,133,132,128,127,128,132,133,135,139,139,137,135,134,134,135,136,136,135,134,134,134,134,131,127,123,124,128,130,130,129,130,132,132,129,127,125,125,126,127,128,130,133,135,134,132,132,133,134,135,136,133,130,128,130,132,133,132,129,129,130,132,132,133,133,130,128,130,135,137,137,137,135,135,137,140,142,144,142,138,137,139,142,143,143,141,139,137,136,136,138,137,136,135,135,137,138,139,140,139,138,138,139,141,142,142,141,141,143,145,145,145,145,144,143,142,142,144,147,149,149,146,144,142,141,141,141,140,139,139,140,139,138,138,140,140,137,135,136,136,136,137,141,145,147,148,148,148,147,146,143,140,138,140,141,141,140,141,143,141,138,139,140,139,137,138,140,141,139,139,143,146,146,146,147,148,147,144,141,141,143,145,146,145,143,140,137,136,136,136,136,135,134,135,137,137,139,142,146,150,151,148,142,139,139,141,145,147,147,146,147,150,152,154,153,153,152,152,152,151,151,153,154,152,151,152,155,157,156,155,154,155,155,154,152,153,155,155,157,158,159,158,157,157,158,158,158,160,163,164,163,164,166,167,166,164,163,164,164,164,162,160,160,161,161,161,162,161,157,155,155,156,156,156,155,157,163,166,166,164,164,164,162,158,156,157,161,162,162,164,162,157,156,158,160,161,161,161,161,162,162,161,160,158,157,156,155,154,154,154,152,151,155,161,163,158,154,153,153,153,154,157,160,162,161,162,162,160,158,157,157,158,158,158,156,155,155,155,156,157,160,160,158,155,153,154,155,156,156,157,160,162,162,163,164,168,170,166,164,166,166,163,159,158,163,167,169,170,170,170,167,165,165,167,166,165,164,166,166,167,170,171,172,172,171,171,172,176,179,178,176,174,175,176,178,177,175,173,172,169,167,167,168,169,167,166,165,165,164,163,162,161,160,158,157,157,158,157,160,162,162,163,163,158,153,153,157,159,158,155,156,158,157,155,155,158,162,163,164,163,163,165,167,169,169,168,166,166,164,162,158,157,158,159,159,157,156,156,156,154,152,153,156,159,160,null],[128,128,128,128,124,121,122,124,123,125,128,129,128,128,130,132,129,128,130,131,131,133,134,134,133,130,128,127,126,124,124,127,129,132,135,133,130,131,133,132,131,130,130,132,133,133,132,132,132,131,131,130,132,133,134,135,135,134,134,134,135,137,138,137,136,135,133,132,132,132,131,129,128,129,130,130,130,133,136,134,129,127,128,129,129,129,130,130,132,134,135,134,135,137,137,138,137,133,129,130,133,136,137,135,132,131,131,131,133,135,134,130,127,130,134,136,137,136,135,136,139,141,142,142,140,138,139,142,144,144,142,142,140,137,136,137,139,138,136,137,139,141,141,141,141,141,140,138,139,142,144,145,144,144,144,145,145,143,142,144,144,143,143,144,145,147,148,147,146,145,145,145,143,142,141,143,143,141,140,140,140,140,138,135,133,135,138,142,145,146,147,146,147,148,148,146,142,140,140,141,141,142,144,146,145,142,140,141,142,140,139,140,142,141,138,138,140,143,144,144,146,147,146,144,142,141,143,145,146,145,143,140,138,137,136,136,136,135,135,134,135,136,138,142,144,147,150,149,144,141,140,142,146,151,152,150,148,148,150,152,153,152,151,151,151,150,151,154,153,151,151,154,157,157,155,153,153,155,155,153,152,152,153,152,154,158,161,160,158,156,157,158,159,161,163,165,166,165,164,164,164,164,164,163,162,161,161,161,161,161,159,158,158,159,157,156,156,155,153,154,157,162,166,167,166,164,163,165,164,161,158,156,157,158,160,163,160,156,157,160,162,161,160,161,162,163,163,162,162,160,158,156,154,153,154,155,152,152,156,162,163,158,154,153,151,151,153,155,157,156,158,161,163,161,158,155,155,156,159,161,158,153,153,154,156,159,160,159,156,155,156,157,158,158,159,158,159,162,165,166,167,171,173,170,168,169,168,165,159,157,159,163,166,167,167,166,165,165,167,167,165,164,165,166,167,169,171,170,170,171,169,169,171,175,177,176,177,179,179,177,175,175,173,169,167,166,166,166,164,164,165,166,167,167,166,167,167,164,161,160,160,159,157,154,155,159,159,160,162,158,154,154,158,160,157,153,153,155,156,157,157,157,157,157,158,161,164,165,166,170,171,168,164,162,161,161,160,161,159,156,156,158,158,160,159,155,152,153,157,161,161,null],[126,124,126,125,124,123,123,123,124,126,128,128,128,129,131,133,131,130,129,130,131,133,134,134,133,131,127,126,127,126,126,129,130,133,134,133,131,131,132,132,131,130,129,131,132,132,131,132,132,132,132,132,132,133,133,132,132,132,133,134,135,136,136,136,135,135,132,130,130,132,135,134,133,133,133,132,133,135,136,134,131,131,133,135,134,133,132,132,132,132,133,135,137,139,138,137,136,134,131,132,136,138,139,136,134,132,131,132,135,137,135,131,128,128,132,136,137,136,135,137,140,142,142,140,140,140,141,143,144,144,143,143,142,137,136,138,140,139,138,139,142,144,142,140,141,142,140,139,140,143,145,145,144,144,143,143,143,142,141,142,144,144,143,143,144,144,145,146,146,146,147,146,144,144,145,146,145,143,142,141,140,140,138,136,133,133,137,142,143,143,143,144,145,147,147,146,144,142,142,143,144,145,148,148,145,143,143,143,141,139,138,140,141,141,139,138,138,140,142,143,145,147,147,144,142,142,144,145,147,146,144,142,141,139,138,139,139,139,138,137,136,136,139,142,143,145,148,150,148,144,141,142,147,152,154,152,150,149,149,151,152,150,149,149,150,151,152,154,152,150,152,156,158,156,153,152,152,153,152,152,152,152,152,150,151,155,159,159,157,155,155,157,159,161,163,165,166,165,162,161,162,162,163,163,161,160,161,161,160,158,156,155,156,157,157,158,157,155,152,153,158,162,162,163,165,166,165,165,164,163,161,157,154,155,159,162,160,156,157,160,161,159,158,160,162,163,160,158,160,161,160,158,154,152,154,156,152,151,156,159,159,156,154,152,151,152,153,152,152,152,154,159,161,162,161,158,155,157,160,160,156,153,155,158,158,158,157,156,155,155,158,158,157,157,159,158,158,160,164,165,166,168,169,168,169,170,170,167,163,159,159,159,160,161,162,162,163,166,169,169,166,165,165,166,166,168,170,169,168,171,171,170,171,173,173,173,175,180,181,179,176,174,170,167,166,166,168,167,165,163,163,165,168,167,167,168,169,167,164,162,162,162,159,154,154,159,159,158,160,158,154,154,157,160,158,153,151,153,156,158,157,154,154,155,156,159,163,164,167,171,172,169,164,162,163,164,164,165,162,158,158,160,161,163,163,160,157,157,160,162,162,null],[126,124,123,123,123,124,123,123,125,126,126,126,127,130,131,132,132,131,131,130,132,133,133,133,134,133,130,128,129,129,130,132,132,133,132,132,132,130,129,130,130,129,128,128,129,129,130,132,132,132,132,133,133,134,133,132,131,131,133,134,134,134,134,133,134,135,133,130,130,133,136,136,136,136,136,136,135,134,133,132,132,134,135,136,136,136,135,134,132,131,132,135,138,138,136,135,135,136,136,136,137,138,138,136,134,132,131,133,137,138,136,132,129,129,132,135,136,135,136,138,140,141,141,140,140,142,142,142,142,142,143,143,141,137,137,140,141,140,140,140,141,141,140,138,140,141,140,141,143,143,142,141,141,142,141,140,139,141,142,142,143,144,143,143,144,144,145,146,146,146,146,145,144,145,148,149,147,144,142,141,141,139,137,136,134,134,135,137,140,141,142,144,145,147,146,146,147,146,146,147,149,151,151,149,145,145,146,143,141,139,138,139,140,142,142,139,138,139,141,143,144,146,147,145,143,143,145,146,147,147,146,145,144,141,140,142,143,143,142,141,139,138,140,144,145,146,149,151,150,146,141,141,146,150,152,152,152,151,151,151,150,148,147,148,149,151,151,151,150,150,154,156,155,153,152,151,151,150,149,150,151,152,153,152,152,154,156,157,157,156,156,157,158,161,162,163,164,164,162,159,158,159,162,162,160,160,162,161,158,154,153,155,155,155,156,157,157,155,153,153,155,156,155,158,165,169,167,163,160,162,163,160,154,155,158,161,159,156,156,158,159,158,158,159,161,161,157,154,157,159,159,157,154,152,154,156,152,151,153,153,153,154,153,152,152,154,155,152,150,152,155,157,158,161,164,160,155,157,160,158,154,154,159,162,159,155,153,153,153,155,157,157,154,154,157,160,160,160,162,163,163,163,164,165,168,171,172,169,167,165,163,160,159,159,160,160,161,164,168,169,167,166,166,166,165,167,169,170,169,173,174,173,172,171,172,172,174,178,181,181,178,174,170,169,170,169,170,170,168,165,161,162,167,167,165,166,167,166,165,164,162,162,161,156,156,160,159,158,159,158,155,153,155,157,158,155,152,153,157,158,156,154,154,157,157,158,162,165,168,171,172,170,168,167,166,165,164,166,164,162,161,162,163,163,164,164,163,162,162,161,160,null],[128,126,125,124,122,123,124,125,126,125,126,126,126,128,129,129,132,133,134,133,133,133,131,131,134,136,133,132,132,132,133,133,133,132,132,134,133,130,128,129,130,130,128,128,127,128,129,131,132,130,131,133,134,134,132,133,133,132,132,133,136,135,133,133,136,137,134,130,130,133,136,136,135,135,136,137,136,133,130,130,131,133,134,135,137,137,137,136,133,131,131,135,136,135,135,135,136,137,139,138,138,138,138,135,132,130,132,136,139,139,137,133,131,132,134,136,135,135,136,138,139,140,140,138,139,141,141,140,138,139,141,141,139,137,139,142,143,141,140,139,138,138,138,138,139,140,141,142,144,143,140,138,139,140,140,138,138,141,144,145,144,144,144,144,145,146,147,146,145,144,144,144,144,146,148,149,147,145,141,139,139,138,136,136,138,140,138,138,141,145,146,147,147,147,146,146,146,147,148,150,152,154,153,151,148,147,145,143,142,142,141,140,142,144,144,141,138,138,140,142,143,145,147,146,143,142,144,147,147,146,147,147,145,142,141,144,145,145,144,143,141,140,141,145,148,149,149,151,151,146,141,141,146,150,151,152,154,153,150,149,147,147,147,148,149,148,147,146,148,151,154,154,151,149,150,150,151,150,149,149,149,150,151,153,155,156,156,157,157,158,158,157,157,159,161,161,160,161,162,159,157,158,160,161,159,160,162,161,157,153,154,157,157,154,153,153,154,155,155,153,152,152,154,157,162,166,165,161,158,160,164,162,156,155,158,159,158,155,156,158,158,158,158,158,159,158,157,156,156,155,155,154,153,153,155,156,153,151,151,152,151,151,151,153,155,157,158,156,154,155,157,158,157,158,162,159,154,156,158,156,153,155,158,159,156,153,152,152,152,152,154,154,154,154,157,162,164,163,165,164,163,163,166,169,171,172,172,170,170,169,168,163,163,166,165,162,161,162,165,165,164,166,167,166,165,166,169,171,172,175,177,176,174,173,173,174,175,179,182,181,179,177,174,173,172,172,171,170,168,165,160,161,165,166,165,165,163,162,164,165,162,160,159,156,156,157,156,157,160,160,157,152,152,154,154,153,153,154,156,155,155,156,157,158,158,158,161,164,168,168,169,170,171,169,166,162,161,163,165,164,164,163,162,161,162,164,165,165,162,158,157,null],[128,126,127,124,122,122,124,126,126,125,126,127,128,129,129,129,131,133,135,135,134,133,132,131,134,137,134,134,133,133,134,134,133,132,133,134,133,130,129,130,131,130,130,128,127,127,127,128,129,129,130,131,134,133,131,133,134,132,131,132,135,136,133,135,137,137,135,131,130,132,135,135,132,132,133,135,134,132,130,130,131,131,132,134,137,138,138,136,134,132,133,136,136,135,137,138,138,139,140,139,138,138,137,134,131,131,135,138,140,138,136,133,133,135,136,136,135,136,137,138,139,139,138,138,137,138,140,140,138,138,141,140,139,138,140,142,143,141,139,137,136,137,137,139,139,140,140,142,143,141,139,137,137,139,139,139,140,142,145,147,146,144,144,144,145,146,147,146,145,144,143,142,143,144,147,148,148,146,142,139,137,137,137,137,141,145,144,143,145,149,150,150,149,148,146,145,145,146,148,150,152,153,152,151,149,147,144,143,144,145,144,142,144,147,146,142,140,140,141,143,144,145,146,146,144,142,144,146,145,144,147,148,146,144,144,145,146,145,143,142,141,142,143,146,149,151,151,151,149,144,141,142,146,150,152,155,156,153,149,147,147,149,150,150,149,147,146,146,147,149,151,151,149,147,148,149,150,151,151,150,149,149,150,153,156,159,159,159,159,160,160,158,157,157,159,159,157,158,160,159,156,158,160,159,158,160,163,163,159,157,158,159,158,154,151,151,153,154,154,153,152,153,156,159,160,162,161,159,158,161,164,161,156,155,157,156,155,155,157,158,157,158,159,158,157,156,158,159,157,155,155,154,153,153,155,155,153,151,151,152,152,149,150,154,156,158,159,160,159,157,158,160,157,155,158,157,153,154,155,154,153,153,153,153,153,153,153,154,153,152,153,154,156,156,157,161,163,165,166,166,165,167,170,172,172,170,168,167,169,171,172,169,170,174,172,167,164,164,164,163,164,166,168,167,166,168,171,173,174,176,176,177,176,176,176,177,178,181,182,180,179,178,177,174,172,170,170,169,168,165,162,161,163,164,165,165,163,160,162,163,161,159,157,157,155,154,154,156,161,162,160,155,153,154,154,153,153,153,155,155,156,158,157,157,158,159,161,164,167,165,165,167,168,167,163,159,158,159,162,164,163,161,160,161,161,162,162,163,161,157,155,null],[128,126,126,125,123,123,124,125,127,126,126,127,130,133,133,132,131,131,134,134,134,134,133,132,134,135,133,134,134,132,132,133,133,132,131,131,131,129,129,131,130,130,130,129,127,126,125,125,128,129,129,130,132,132,132,132,132,131,129,129,132,133,132,134,135,135,133,131,130,131,133,133,131,130,131,132,131,131,132,133,132,132,133,135,137,138,137,135,134,134,136,136,136,137,139,140,140,140,140,140,139,139,137,135,134,136,138,139,139,138,134,131,134,136,137,137,137,138,139,140,140,139,139,139,138,138,140,140,141,141,142,141,140,139,138,139,140,140,138,137,136,136,138,139,139,138,139,141,142,140,139,138,137,137,139,141,142,142,144,146,146,145,143,143,143,144,144,144,144,142,141,141,142,143,145,147,147,146,144,141,137,137,138,139,142,145,145,145,147,149,150,150,149,147,145,143,144,146,147,148,150,151,150,148,148,147,145,144,145,145,143,142,145,147,147,144,142,142,143,144,145,146,147,148,147,145,144,144,143,144,147,149,148,147,148,148,148,145,141,139,141,144,146,147,148,152,153,151,147,143,142,145,147,149,153,157,157,152,147,147,149,152,154,153,150,149,149,149,149,148,149,150,150,149,149,149,150,151,151,151,151,151,151,152,155,159,161,161,161,161,161,160,159,157,157,158,157,157,158,156,155,157,159,159,159,160,163,164,162,161,161,160,157,154,153,153,152,152,151,153,154,155,157,159,161,161,159,156,159,164,164,159,155,155,157,155,153,155,157,159,158,158,159,158,156,156,157,157,157,157,158,157,154,153,154,154,153,151,151,152,153,151,153,156,158,159,160,161,160,157,158,159,156,154,156,156,152,152,153,152,152,151,150,150,152,154,156,157,157,155,155,156,159,158,157,157,160,163,165,166,167,170,170,169,166,163,164,166,169,173,175,174,174,176,176,174,171,168,167,167,168,169,169,168,168,170,173,175,176,176,177,178,178,178,178,178,179,181,182,179,178,177,176,173,169,167,168,169,168,165,164,163,162,161,162,165,164,160,160,160,161,160,159,159,157,155,154,155,159,162,162,159,157,157,157,155,152,151,153,158,159,157,156,156,157,159,160,163,166,164,162,161,161,162,162,161,158,156,158,162,160,158,159,161,161,160,158,158,160,160,157,null],[131,128,127,126,125,126,126,127,129,130,128,128,131,135,136,134,132,132,134,133,133,134,134,131,131,130,131,132,132,131,131,132,132,131,129,128,128,128,129,129,128,128,129,129,128,126,125,125,129,131,130,130,133,132,132,131,130,129,127,127,130,130,130,131,132,131,129,129,130,131,132,131,131,131,132,132,132,133,135,135,134,133,133,134,136,136,136,134,133,135,137,137,136,135,136,138,140,139,138,140,140,139,137,136,138,139,140,139,139,137,133,132,134,136,138,140,140,140,140,140,140,140,140,141,141,141,141,141,142,143,144,143,141,139,138,138,139,139,137,136,136,135,136,137,138,139,140,141,140,139,140,142,141,140,140,142,143,143,144,145,145,144,143,143,142,141,142,143,142,140,141,142,143,143,145,148,148,146,145,142,139,137,137,138,141,143,143,144,146,147,147,147,146,144,142,141,143,145,146,145,146,148,147,147,149,149,148,147,146,144,142,143,146,148,147,146,144,143,144,144,145,146,148,150,149,147,145,144,145,146,147,147,148,150,151,151,149,145,141,140,141,145,148,149,149,150,152,150,145,143,144,147,148,148,151,153,152,148,145,146,149,151,153,153,151,150,151,152,151,149,150,152,153,152,152,150,149,148,149,151,153,154,154,153,154,157,160,162,163,162,160,160,159,156,155,156,156,155,155,153,153,156,159,161,161,160,162,163,163,161,160,160,157,155,156,155,152,150,150,153,155,156,157,159,161,160,157,155,160,165,163,156,153,154,157,158,157,155,156,157,160,161,159,157,156,156,155,153,153,155,158,159,156,153,152,153,153,152,151,151,152,155,157,159,160,160,161,161,159,155,155,157,154,152,154,154,152,152,152,152,153,153,150,150,152,155,157,159,161,161,159,159,160,159,157,158,160,163,164,166,169,170,168,164,161,161,165,170,172,173,173,172,172,173,174,175,175,173,170,171,172,173,170,168,168,171,173,174,174,175,178,180,181,180,179,176,176,181,182,180,176,173,171,169,167,167,168,165,163,163,164,165,164,160,160,162,162,160,159,160,162,161,160,160,158,156,153,154,157,160,161,160,159,157,156,153,150,150,153,158,159,156,156,158,158,157,157,159,163,163,160,157,156,158,159,161,160,157,156,158,156,154,156,159,161,160,156,155,158,161,161,null],[134,131,128,126,127,129,129,130,133,134,132,129,129,132,135,134,134,134,133,132,131,132,132,130,128,128,129,130,131,132,132,132,131,130,129,127,127,127,126,125,126,127,128,129,128,125,125,127,131,132,132,131,132,132,131,129,128,126,126,127,131,131,128,128,129,129,128,128,131,130,129,130,131,133,133,134,135,135,136,135,134,134,133,133,134,135,135,133,133,136,138,138,135,132,131,135,137,137,137,139,140,139,137,137,139,140,140,140,138,135,134,134,134,136,138,141,143,142,139,138,140,142,142,141,142,142,141,140,140,142,143,143,141,139,137,137,138,138,136,137,137,136,135,135,137,139,140,139,138,138,140,142,143,142,141,142,144,145,144,143,142,143,143,143,142,141,141,141,140,139,142,144,144,144,146,148,148,147,144,141,138,135,134,136,139,141,141,142,143,143,144,145,144,141,140,141,142,143,143,142,144,146,146,147,150,151,150,149,147,143,142,144,148,149,148,146,144,142,143,145,145,147,149,151,150,148,146,146,148,148,147,146,146,149,152,152,150,147,145,142,140,142,146,149,149,148,149,148,144,142,144,146,147,147,147,147,145,144,144,146,147,147,148,149,150,150,150,150,150,151,152,154,154,155,155,153,150,148,148,150,152,154,156,156,155,156,159,162,163,160,157,157,157,154,153,154,155,154,153,152,153,156,160,162,161,159,159,161,161,158,157,159,157,155,156,156,153,151,152,153,154,155,156,158,160,159,156,155,158,161,158,154,152,154,157,161,161,158,156,157,162,164,161,156,154,154,154,152,149,150,156,159,157,153,151,152,152,152,152,150,152,157,160,160,160,160,161,160,157,153,152,155,153,150,150,151,152,152,152,153,157,158,154,152,153,155,156,159,162,163,162,161,160,159,158,159,161,162,162,164,168,167,164,161,160,162,168,173,173,172,170,169,170,171,172,173,175,173,171,172,176,176,172,169,169,171,173,173,174,177,179,181,182,181,179,176,174,178,181,179,174,169,166,165,165,167,167,161,159,161,161,163,163,161,160,160,159,158,159,162,162,161,160,160,158,155,152,152,154,156,157,157,156,154,152,151,149,149,151,154,155,155,157,160,159,155,153,156,161,163,161,158,157,158,158,160,160,159,156,156,155,153,153,156,159,159,155,153,156,160,161,null],[131,129,128,127,129,131,133,133,133,134,133,130,129,131,133,134,134,134,132,130,129,128,128,129,130,129,128,129,131,134,134,132,130,129,129,129,127,126,125,124,124,127,129,129,127,125,126,129,132,132,132,132,130,129,129,129,127,123,124,128,133,133,129,127,127,129,130,131,131,129,127,128,131,133,135,135,135,135,134,133,133,133,133,132,134,135,133,131,132,135,137,137,133,130,130,133,135,136,138,140,140,138,136,137,139,139,140,141,137,134,135,137,136,136,137,140,142,141,137,136,140,142,141,139,139,140,139,138,138,140,142,142,140,137,136,135,136,136,136,138,139,139,136,135,135,136,137,137,137,137,138,139,140,140,141,142,144,145,143,142,141,142,142,142,141,140,139,139,139,140,142,144,145,146,147,148,148,147,144,140,137,134,133,134,136,138,138,138,139,139,141,144,143,141,141,141,141,140,141,141,144,146,147,147,149,150,150,150,147,143,143,146,149,151,149,146,142,141,143,146,147,148,150,150,148,146,147,148,150,150,149,147,146,148,151,153,151,148,146,143,139,138,141,145,147,147,147,146,144,142,142,143,144,144,145,145,145,145,146,147,146,145,144,145,147,148,148,148,148,149,152,154,155,155,156,155,152,149,150,151,151,153,157,158,158,157,159,161,160,158,156,155,154,152,152,154,155,155,154,153,155,158,160,160,157,155,156,159,160,157,155,157,157,156,156,155,152,152,152,153,153,153,155,157,158,157,155,154,154,154,153,153,155,156,157,160,163,162,160,161,165,166,162,156,152,151,153,152,147,148,156,158,156,154,152,152,152,152,153,152,153,157,159,159,159,159,158,157,155,152,152,154,153,150,149,150,152,153,152,152,157,160,158,156,156,156,156,157,159,161,161,161,160,158,157,157,157,157,157,160,162,161,160,160,161,164,168,171,170,168,168,170,172,174,174,173,173,171,170,173,178,177,174,172,171,172,173,174,176,180,181,178,179,180,181,178,174,174,175,175,174,170,166,163,164,165,165,162,160,160,159,158,159,161,162,162,158,155,158,162,162,160,158,157,156,152,151,151,153,153,152,152,152,152,153,153,151,150,149,149,151,152,156,159,156,153,154,158,163,166,166,164,161,160,160,160,159,157,157,158,159,158,156,154,154,155,155,154,155,157,159,null],[127,127,129,130,132,133,133,133,132,133,133,131,131,132,134,134,133,132,131,130,128,126,127,130,133,132,129,129,132,134,134,133,130,129,129,129,129,129,127,125,124,126,130,130,126,124,126,129,129,129,130,130,128,128,128,128,125,122,123,128,132,132,129,127,127,128,130,131,130,129,127,128,131,134,134,134,133,132,132,131,131,131,131,131,134,134,131,130,131,133,134,134,132,131,131,133,135,136,138,140,139,136,135,136,138,139,139,139,136,134,136,139,139,138,136,137,139,138,136,137,140,141,140,138,137,137,137,136,137,138,140,140,138,136,135,135,135,135,138,139,140,140,138,137,137,137,136,136,138,139,139,138,138,140,141,143,144,145,143,142,141,141,140,139,139,139,139,139,141,142,142,144,145,147,147,147,147,145,143,140,137,136,137,136,136,137,137,136,135,136,139,142,143,143,144,143,141,140,141,143,145,145,146,146,146,147,149,150,149,146,145,148,150,150,147,142,140,140,142,144,146,147,149,148,146,144,146,149,150,151,151,150,148,148,151,153,151,148,146,143,139,137,138,142,145,147,147,146,145,143,143,143,142,142,143,145,147,149,150,150,148,146,145,145,146,147,147,147,147,148,151,153,155,155,155,156,155,153,154,155,153,153,156,158,158,158,159,159,159,157,156,154,153,153,154,156,157,156,156,156,158,158,159,158,155,153,154,156,157,156,155,156,157,157,156,154,151,151,151,151,151,152,155,158,158,155,153,153,153,152,152,155,158,159,158,160,163,164,165,165,164,165,163,160,155,152,153,152,147,148,155,156,154,153,152,152,152,153,156,155,155,157,158,159,158,156,154,154,153,151,151,153,153,151,151,152,155,156,155,154,157,160,160,159,159,159,159,158,158,158,158,159,161,160,157,155,155,155,156,155,155,155,157,158,161,162,163,164,166,167,168,169,171,174,175,174,170,168,169,175,178,175,174,175,174,174,173,173,176,179,178,175,178,181,181,179,175,171,170,174,174,172,168,165,164,163,163,163,162,161,158,156,156,159,162,163,159,154,155,159,159,158,156,155,153,150,151,153,155,155,152,152,152,154,156,156,155,153,149,147,147,151,155,156,154,154,159,161,163,166,169,170,167,163,163,161,158,157,158,161,161,161,161,157,154,154,153,154,155,156,157,null],[127,128,131,133,134,134,132,131,132,134,134,133,133,134,136,135,131,131,134,131,127,126,129,133,135,135,132,131,130,132,134,134,132,130,128,128,130,132,131,126,125,126,130,129,125,124,126,127,127,126,126,127,126,127,127,127,125,122,122,124,128,127,126,128,128,128,128,129,129,130,130,130,131,133,133,131,130,130,130,130,129,127,127,129,132,132,130,130,131,131,131,131,132,132,132,134,135,136,137,139,136,133,133,136,138,138,136,136,135,136,138,140,141,140,138,138,137,136,136,138,140,140,139,138,137,136,135,135,136,138,138,137,136,135,136,137,137,137,139,139,139,139,138,138,140,140,138,139,141,141,141,140,141,142,143,143,144,146,145,142,140,139,136,136,137,139,140,141,142,142,142,143,144,145,146,146,144,143,142,141,139,140,143,142,140,139,138,136,134,135,137,139,141,144,145,145,144,144,145,146,146,144,143,144,145,147,149,151,152,150,149,150,151,149,145,141,140,141,141,141,143,145,147,147,145,143,145,148,150,150,152,151,150,151,152,153,151,148,147,144,140,139,140,143,146,148,149,147,146,146,146,145,144,142,142,144,147,151,153,152,150,148,148,148,148,149,148,148,148,150,151,153,156,156,154,155,155,155,155,157,156,156,156,156,157,158,158,158,158,158,156,154,153,154,156,158,159,158,158,158,159,158,158,157,155,154,154,154,154,154,155,156,157,157,156,153,149,149,150,150,150,151,155,158,158,155,152,153,154,155,156,157,159,161,162,163,163,163,165,164,162,162,165,163,159,155,152,150,147,149,153,154,153,152,152,152,154,155,156,155,155,158,160,160,157,154,153,153,152,151,151,152,153,154,155,157,158,159,159,158,158,158,159,160,161,162,163,162,161,159,157,159,163,164,161,157,157,159,158,155,154,155,157,158,159,158,158,159,164,168,168,166,166,169,172,172,167,166,171,175,176,173,172,175,177,176,173,172,172,172,173,176,179,181,179,177,174,169,170,175,175,172,170,168,167,166,165,163,162,161,161,160,158,158,159,160,157,154,154,156,155,154,154,153,152,151,153,156,160,159,157,156,157,157,158,158,158,156,152,148,147,151,155,156,154,156,162,163,161,162,167,171,170,166,164,161,159,158,159,159,160,161,162,161,158,155,153,153,155,157,157,null],[129,132,136,137,135,133,130,131,133,135,135,134,133,133,134,135,132,132,135,131,125,127,132,135,134,132,133,130,129,130,133,133,132,130,127,126,127,130,130,127,125,126,127,126,124,124,125,126,126,125,124,124,124,125,125,126,126,124,122,121,123,122,121,125,127,127,128,129,129,130,130,130,129,130,130,129,128,128,128,128,127,125,124,126,129,129,127,128,130,130,129,129,131,132,131,131,132,134,135,135,133,131,133,135,135,135,134,135,136,136,137,139,140,140,139,140,139,137,135,136,138,138,138,137,135,134,134,135,135,136,136,136,134,135,137,139,139,139,139,137,135,137,138,139,140,141,141,141,142,142,142,142,142,143,145,144,145,146,145,141,138,137,136,136,137,139,140,141,141,141,141,141,141,141,143,144,144,144,144,142,142,144,147,146,143,141,141,140,138,137,137,138,141,143,144,144,145,146,147,147,146,144,143,144,146,149,151,152,153,154,153,152,152,150,146,144,143,142,141,141,143,146,148,148,147,145,145,147,148,149,152,153,153,153,153,152,150,148,147,145,143,142,143,146,149,151,151,149,149,150,150,148,146,144,143,144,146,149,151,150,150,151,151,151,151,151,150,149,150,152,152,153,155,155,154,154,154,154,155,158,160,160,158,157,156,155,155,155,156,156,156,154,153,154,156,158,159,158,158,159,160,159,158,156,155,154,154,155,155,154,154,155,156,156,155,153,150,150,150,151,151,152,155,158,156,153,151,152,154,156,158,158,159,161,164,165,163,161,162,162,159,161,164,163,159,156,151,147,147,150,152,152,153,153,151,151,154,154,153,153,155,158,161,161,156,153,153,154,153,152,152,154,156,157,157,158,159,159,159,159,159,159,159,161,162,163,164,166,166,163,160,160,164,166,165,161,161,161,160,158,160,161,160,159,159,159,158,158,161,165,166,164,163,164,167,168,167,167,171,172,172,172,173,175,177,176,171,169,169,168,172,177,179,179,178,174,170,169,172,175,174,169,168,168,169,170,168,163,161,161,162,162,161,159,157,156,154,154,155,156,153,152,152,152,152,154,155,159,163,163,160,160,161,160,159,159,159,158,154,151,150,153,157,157,154,155,160,160,158,158,162,166,169,168,165,163,161,160,159,157,158,158,157,158,158,156,154,153,156,157,156,null],[132,136,139,138,136,133,131,132,135,136,134,133,132,133,132,132,132,133,133,128,124,126,130,133,130,129,130,130,129,130,131,131,129,127,126,125,124,126,127,126,125,124,124,123,122,123,125,127,127,126,124,123,123,124,125,127,127,126,122,120,120,120,120,122,126,128,129,129,127,128,129,129,127,126,125,126,126,127,127,127,126,124,124,125,127,128,126,126,129,130,129,129,130,131,129,128,129,131,133,134,134,134,135,135,133,133,135,136,136,134,135,136,138,138,139,140,140,136,134,133,134,135,135,134,133,131,131,132,132,133,133,133,133,134,135,136,137,137,137,135,134,136,137,138,139,141,143,143,143,143,143,142,141,142,145,146,145,144,142,138,136,136,137,139,140,140,140,139,139,140,140,140,139,140,140,141,143,145,145,145,146,147,148,147,145,144,144,144,143,140,139,140,141,141,141,142,143,145,147,147,145,144,143,145,147,150,151,151,152,154,155,153,153,151,149,147,145,142,141,142,145,147,148,148,149,148,147,145,146,148,151,154,155,155,154,152,150,148,147,146,144,143,144,147,150,151,151,151,152,153,152,151,149,147,145,145,146,148,149,149,150,152,153,152,152,152,151,149,150,151,151,151,153,154,153,154,154,154,155,159,162,163,161,159,156,154,153,153,153,154,154,153,152,152,153,154,157,158,158,159,160,159,158,157,155,153,154,156,156,154,153,154,155,155,155,154,153,152,152,151,151,153,156,156,154,153,152,151,153,156,156,156,156,159,162,164,162,159,158,158,158,161,163,159,156,153,149,147,148,150,152,152,152,152,152,152,153,152,151,151,154,158,161,160,156,153,154,154,152,152,154,157,159,160,158,157,158,159,159,159,159,160,160,162,164,163,164,169,170,167,164,164,165,167,168,166,165,164,161,163,168,168,163,160,160,162,162,159,158,160,165,167,167,165,165,168,170,170,169,169,171,172,174,176,177,175,169,167,169,171,175,177,177,177,177,172,168,170,173,173,171,166,165,166,168,169,167,164,163,164,163,162,161,159,156,155,154,154,157,158,155,154,154,153,153,156,158,161,164,163,160,159,160,160,159,159,160,159,156,151,150,154,156,155,152,153,156,157,156,157,158,161,165,166,164,163,163,162,160,158,157,155,153,153,154,153,153,154,157,157,154,null],[132,135,137,137,137,136,133,133,136,135,131,130,132,133,132,130,132,132,130,127,126,125,126,127,126,127,129,130,130,131,130,129,126,125,126,125,122,123,125,126,124,122,121,121,122,124,126,127,126,126,126,126,124,124,126,128,128,127,124,122,122,122,123,124,126,129,130,127,124,124,127,128,125,123,123,124,124,126,128,128,127,126,125,126,127,128,128,128,128,129,129,129,129,128,128,128,128,130,133,135,137,138,137,135,134,135,137,137,135,133,132,133,135,137,137,137,136,133,132,130,129,130,131,131,130,129,129,129,130,131,131,131,132,133,132,132,132,133,134,134,134,135,137,137,138,140,142,143,143,143,142,141,140,141,143,144,143,141,138,135,135,136,139,141,143,142,140,139,139,139,140,140,140,141,140,138,139,142,144,145,147,148,147,147,147,146,146,145,143,141,140,142,142,141,140,140,140,142,146,147,145,144,143,145,146,148,148,149,151,154,155,154,152,150,147,145,142,140,140,143,146,146,146,148,150,150,148,145,146,148,151,153,155,156,155,151,148,148,148,147,145,143,144,145,146,147,150,152,153,153,153,154,153,149,147,147,148,148,149,149,151,153,153,153,153,153,152,150,149,149,150,151,152,152,153,155,156,155,156,159,162,162,161,160,157,154,153,153,152,152,153,152,151,150,150,152,155,157,158,158,158,157,157,158,156,154,153,155,155,153,152,153,155,155,156,156,155,153,152,151,151,152,154,154,154,154,153,151,152,155,154,152,153,155,159,163,162,158,153,152,157,161,161,157,153,151,149,148,150,151,152,152,151,152,153,154,152,150,151,152,155,158,160,160,157,154,153,152,151,151,154,158,160,159,157,156,158,159,160,159,160,161,162,163,165,164,165,169,170,168,166,166,166,167,169,170,169,167,164,166,171,170,165,162,163,166,165,160,158,159,165,172,174,169,169,172,174,172,168,170,173,172,173,175,177,174,167,168,172,176,176,175,174,174,173,170,170,173,174,171,167,164,164,164,165,163,162,164,167,167,164,161,159,156,155,158,158,157,159,160,158,158,158,157,156,158,160,163,162,162,160,157,156,158,157,157,159,160,158,151,148,152,153,151,150,152,156,156,155,156,158,160,162,162,162,162,163,163,162,160,158,155,153,152,150,149,150,153,156,156,153,null],[130,132,133,135,137,137,135,133,136,134,130,130,132,133,130,129,131,132,130,130,130,128,127,124,124,126,128,130,131,131,129,127,126,126,126,124,122,122,124,125,123,121,122,123,124,125,127,128,127,126,127,128,125,125,126,129,129,129,127,126,126,126,126,126,126,129,129,127,124,123,125,126,125,125,125,125,124,126,129,130,129,127,125,125,126,128,130,130,128,128,129,129,127,125,126,128,130,131,132,135,138,139,138,135,135,137,138,137,133,131,130,132,134,135,134,133,132,130,130,129,128,128,129,130,129,129,129,130,131,132,133,134,134,133,132,131,131,131,131,132,134,134,135,136,137,139,140,140,140,140,140,139,139,139,140,140,140,139,136,135,134,136,139,142,143,142,141,141,140,139,140,141,142,143,141,139,139,141,143,144,146,146,146,147,148,148,147,146,145,143,143,143,142,141,141,141,140,141,144,146,146,145,144,145,145,146,147,148,150,153,154,154,152,150,147,144,141,141,141,143,145,145,145,146,149,150,149,146,147,149,151,152,155,157,155,150,149,150,149,147,145,145,146,145,144,144,146,149,152,153,154,155,153,150,147,148,149,149,149,149,151,152,153,154,154,154,152,149,148,149,151,152,153,153,154,155,155,154,156,159,161,161,159,159,157,155,154,154,153,152,151,150,151,150,150,152,155,157,156,156,156,155,155,156,155,154,154,154,154,153,153,154,155,156,156,156,154,153,151,150,150,150,151,152,154,155,153,150,151,153,152,150,151,153,157,161,161,156,148,148,156,160,157,153,150,150,149,150,152,152,152,152,152,152,154,155,152,152,154,156,158,160,161,160,157,154,153,152,151,152,155,157,156,155,154,155,158,160,160,161,162,163,163,164,165,165,166,168,168,167,165,164,166,167,168,170,169,167,165,166,169,169,166,167,169,169,165,161,160,160,165,173,176,172,171,174,175,172,169,172,174,172,171,173,176,173,165,168,175,176,173,170,169,170,169,171,175,176,174,168,165,165,164,164,163,162,162,165,167,167,164,161,159,155,155,160,161,160,160,161,162,163,163,160,158,158,161,163,160,159,159,157,156,156,154,154,155,160,160,153,149,150,150,149,150,153,155,155,154,154,158,162,162,161,161,161,162,163,162,160,158,158,156,153,150,149,150,151,152,153,152,null],[130,131,131,134,136,137,134,133,135,133,129,129,130,130,128,128,131,134,134,133,133,132,130,126,125,125,128,130,131,130,128,126,127,127,126,123,121,122,123,124,123,122,123,126,127,127,127,129,130,129,128,127,126,126,127,129,130,130,130,130,129,129,128,126,126,128,128,128,126,125,125,126,127,128,130,130,126,126,129,131,130,127,124,124,124,128,131,132,129,128,128,128,126,124,124,127,129,131,131,132,135,136,136,134,135,135,135,134,131,130,131,133,133,132,130,129,129,130,131,131,130,130,130,131,131,131,132,134,135,135,136,138,137,134,133,134,134,133,132,132,132,132,132,133,135,137,137,137,136,137,137,138,139,139,139,139,139,139,138,136,135,136,139,141,142,141,142,143,142,141,140,142,144,144,143,142,143,144,144,144,144,145,146,147,148,149,147,147,147,147,146,144,142,141,142,144,144,143,143,145,147,147,146,145,145,145,147,149,150,151,152,153,154,152,149,146,144,143,143,143,144,145,145,146,148,150,150,149,149,151,152,152,154,156,154,150,151,152,148,145,146,148,149,147,145,143,144,147,150,153,155,154,152,149,149,150,150,149,148,148,149,150,152,154,155,155,152,149,148,149,152,153,154,154,154,153,152,152,155,159,161,160,158,157,156,155,155,156,154,152,149,149,151,152,152,153,156,157,155,155,156,155,154,153,151,152,154,154,153,152,154,155,155,156,156,155,153,151,151,151,150,149,149,151,155,155,152,149,150,151,151,150,152,154,157,159,159,155,149,148,154,156,152,149,149,149,149,151,153,154,152,154,155,155,155,156,154,155,158,160,161,162,162,159,155,152,152,153,154,155,156,156,153,152,153,156,158,159,160,161,163,164,165,163,161,163,166,166,166,165,162,161,164,167,168,168,167,166,165,165,167,168,168,173,174,170,166,163,163,162,163,169,171,169,170,172,172,170,169,172,173,170,169,171,174,170,165,168,174,171,168,167,167,168,169,173,178,177,173,168,167,166,164,164,166,167,167,166,165,165,164,163,162,156,156,161,163,162,161,162,163,164,164,161,158,158,161,163,160,158,160,161,160,157,153,151,152,157,160,157,153,150,149,148,150,153,154,154,153,154,158,163,164,162,161,160,160,162,160,158,160,161,157,154,153,153,152,150,148,149,150,null],[131,132,133,135,136,135,133,132,133,131,127,126,127,126,127,129,131,134,134,132,131,131,131,127,125,125,129,131,131,129,127,127,126,126,123,120,119,120,121,123,124,124,125,129,130,127,126,129,133,134,131,127,127,127,129,129,130,131,131,131,129,129,128,126,125,128,130,130,128,126,126,129,132,132,134,133,130,128,130,131,131,129,126,124,124,126,130,134,134,131,129,129,129,128,126,125,126,127,129,131,132,132,132,132,132,131,130,130,129,129,130,132,132,131,129,129,130,133,135,136,135,133,133,133,134,135,137,138,138,137,137,139,138,134,135,137,137,136,134,133,132,131,131,131,132,133,133,134,135,137,138,140,140,140,141,140,140,139,138,136,137,140,141,142,142,141,141,143,143,143,142,142,143,145,146,146,146,147,146,145,145,146,147,148,148,149,148,148,148,147,146,144,142,141,142,144,146,145,143,144,146,147,146,145,144,146,148,149,150,151,151,152,153,154,152,149,147,145,144,144,145,145,146,148,151,152,151,149,151,152,152,151,153,155,154,152,153,152,147,144,146,149,151,149,147,145,145,146,148,151,154,154,151,150,151,152,151,150,148,147,147,149,151,152,153,153,153,151,149,148,150,152,153,154,153,153,152,153,154,157,161,162,159,156,154,155,157,157,155,151,148,148,151,153,153,153,157,157,155,156,157,155,153,152,149,149,152,153,152,151,152,153,154,155,156,155,153,153,153,153,152,150,150,152,155,156,154,150,149,149,150,152,155,156,158,158,157,154,152,152,152,151,148,147,148,149,149,151,153,154,155,158,158,157,157,157,158,159,161,163,164,163,160,157,153,150,151,154,157,159,159,156,153,152,155,158,158,157,157,159,163,164,164,160,157,160,163,164,165,165,161,160,163,167,167,168,167,165,164,165,168,169,170,174,175,173,170,168,166,165,164,163,164,165,167,169,167,166,166,168,169,167,167,169,170,168,166,168,170,167,167,170,170,170,171,175,178,178,174,171,170,168,164,165,170,171,170,168,166,166,167,166,162,156,156,162,164,164,164,164,162,161,160,159,159,160,163,164,163,162,162,162,162,161,156,151,151,153,156,159,158,154,149,148,149,153,155,155,155,155,158,163,164,162,159,158,159,159,159,159,161,161,158,155,153,154,154,153,150,148,148,null],[130,133,135,135,134,132,132,133,132,130,128,126,125,125,126,130,132,132,132,130,129,130,130,127,125,125,128,131,130,127,126,126,125,123,120,118,118,119,121,124,126,127,128,130,131,129,126,128,133,137,133,127,127,129,131,129,129,130,131,130,128,129,129,127,127,129,131,132,129,126,127,131,134,134,134,134,133,132,131,131,133,132,129,127,125,125,129,134,137,134,132,133,134,133,130,126,124,124,127,130,131,129,128,128,128,127,127,128,128,128,129,131,131,131,130,129,130,134,137,138,138,137,136,135,136,138,140,140,140,139,139,139,137,135,136,139,139,137,135,134,133,134,134,133,131,130,130,132,135,139,141,140,139,139,141,141,139,138,136,136,138,140,141,140,141,141,141,142,143,143,142,141,142,144,146,147,147,148,147,147,147,148,147,146,147,149,151,150,148,147,146,144,142,141,141,143,146,146,144,144,146,147,147,145,145,147,148,149,150,152,152,152,151,153,154,151,147,145,144,145,146,146,146,149,151,152,150,148,150,152,151,150,152,155,155,155,155,152,146,143,146,150,152,151,148,146,146,146,147,150,152,153,152,152,153,152,151,150,149,148,148,149,151,151,150,152,154,152,148,148,150,153,154,154,154,154,154,154,155,158,162,164,160,156,155,156,157,155,153,151,149,149,151,153,152,152,155,157,154,155,156,155,154,154,151,148,149,150,150,152,152,153,153,155,156,157,156,155,155,153,153,153,153,154,155,156,155,151,149,148,150,154,157,158,158,158,157,156,156,155,151,148,146,147,149,149,150,151,153,155,157,158,158,158,157,158,161,163,164,164,164,162,159,156,152,149,150,153,157,159,158,155,153,153,156,156,156,155,156,158,161,162,161,158,157,159,162,164,164,163,159,160,165,166,166,168,168,165,164,164,168,169,169,172,174,175,175,173,171,168,165,161,161,162,164,164,164,164,164,165,164,163,165,167,167,167,169,170,170,169,171,174,174,173,175,176,176,177,176,175,173,170,165,166,171,172,171,170,168,167,169,166,160,157,158,163,165,165,167,166,161,158,158,159,161,163,163,163,162,161,161,160,160,160,158,154,152,152,152,158,161,156,150,147,148,152,157,157,155,155,158,162,163,161,160,160,159,158,158,161,161,160,158,155,152,152,154,155,152,148,147,null],[129,131,133,133,131,131,133,134,134,133,131,129,127,126,127,129,131,131,130,129,130,132,132,128,125,124,126,129,130,127,125,125,124,121,119,118,118,120,124,127,130,130,130,131,132,131,128,127,130,135,133,129,128,131,132,131,129,129,131,130,128,128,130,130,130,130,132,134,131,128,128,130,133,134,134,134,135,134,131,132,134,134,130,128,126,127,129,133,135,135,136,137,138,136,133,129,125,124,126,128,130,129,127,126,126,128,128,129,129,129,129,131,132,132,131,129,129,131,135,137,138,139,140,138,138,140,140,140,141,141,140,140,138,136,138,140,139,137,135,134,136,139,139,137,133,130,130,131,135,139,140,138,135,136,139,140,137,135,135,136,137,138,138,137,138,140,142,143,143,142,141,141,141,143,145,146,147,147,146,146,146,146,144,143,145,149,152,152,150,149,147,145,143,143,142,143,144,145,146,146,146,147,147,147,147,149,149,148,150,154,154,152,151,153,154,151,147,145,145,145,147,147,147,147,148,148,147,147,149,151,150,151,153,156,158,156,155,151,145,143,146,151,153,151,147,145,145,147,150,151,152,153,153,154,154,152,149,149,150,150,150,152,153,152,151,153,155,152,149,149,153,157,157,156,155,155,156,156,157,160,163,163,161,160,159,158,154,152,151,151,150,150,151,151,150,150,153,155,153,152,153,153,154,155,153,150,147,148,151,154,155,156,155,155,156,158,159,157,153,150,153,155,155,154,154,154,154,152,150,149,152,154,155,156,157,158,159,157,156,154,151,148,147,147,149,150,151,151,153,155,156,156,156,156,156,158,162,164,163,162,161,161,159,155,152,149,148,151,155,156,154,153,153,153,153,152,152,154,158,160,160,158,157,158,160,161,164,166,163,158,157,161,165,165,164,167,167,164,163,162,163,165,168,170,173,176,175,174,175,172,167,164,163,162,162,163,164,166,165,165,163,162,163,166,167,168,171,173,174,173,175,176,175,175,177,176,175,177,178,178,175,172,168,168,171,171,170,170,168,166,167,164,158,158,162,163,165,167,169,166,161,160,160,161,163,164,161,158,156,156,157,158,157,155,156,156,156,152,150,155,160,157,150,146,147,152,158,157,153,154,156,158,161,163,164,163,161,157,157,161,162,160,157,154,152,151,152,153,151,148,148,null],[128,129,130,130,131,132,134,136,135,135,134,131,129,129,127,126,128,130,131,129,129,133,133,128,124,123,125,129,130,127,124,124,122,120,120,119,119,121,126,130,131,131,130,131,133,133,131,128,128,131,132,131,131,131,132,132,131,131,132,131,130,130,131,131,131,132,135,137,135,133,132,130,131,134,135,135,136,133,131,133,135,134,130,128,128,130,130,131,132,135,137,139,140,138,135,130,126,125,126,127,129,130,130,128,128,129,129,130,130,130,132,133,135,136,136,133,131,131,132,134,136,138,139,139,139,140,141,140,140,140,139,139,139,139,140,141,139,137,136,137,138,140,140,139,136,133,132,132,134,136,136,134,132,133,136,138,137,135,136,138,139,138,137,137,138,139,142,143,144,143,143,141,140,141,143,144,145,143,142,141,142,143,143,142,144,148,150,150,150,150,148,147,146,145,145,145,144,144,146,147,147,147,149,150,149,150,151,150,151,153,154,152,152,154,156,152,148,146,146,146,148,148,147,146,146,146,146,146,149,150,150,152,155,158,158,155,151,148,145,145,148,152,153,150,147,144,144,146,149,151,151,152,153,154,153,150,148,148,149,150,152,154,154,153,152,154,155,153,151,151,154,157,158,157,155,155,157,159,160,160,161,161,161,161,161,158,154,152,153,153,151,150,150,149,147,147,151,154,154,152,151,151,152,153,152,149,147,148,152,155,156,157,156,155,156,159,159,157,152,148,150,154,154,153,153,153,153,153,151,150,151,151,149,152,156,158,158,156,153,151,150,149,149,149,151,151,151,151,152,153,155,156,156,157,158,159,162,161,160,159,159,160,158,153,150,148,146,150,154,155,152,150,152,153,153,150,149,152,156,159,158,156,157,159,161,162,165,166,160,155,158,162,162,161,161,163,163,162,162,162,162,166,171,174,174,172,172,174,177,176,171,169,167,163,164,166,168,168,167,167,167,166,167,169,169,169,170,172,175,174,174,175,175,176,178,176,174,178,180,179,177,174,170,170,171,169,167,167,165,164,164,161,157,161,164,163,165,169,168,165,163,163,163,162,162,162,158,154,153,155,159,160,157,154,155,159,158,153,149,152,157,156,150,146,148,154,158,155,152,155,156,157,161,164,164,163,161,158,156,159,161,160,155,152,151,149,149,150,150,150,149,null],[129,128,129,131,132,133,134,135,134,133,133,131,130,130,127,123,125,130,132,129,127,132,133,128,123,122,125,128,130,128,125,123,121,120,121,121,121,123,127,132,133,132,131,132,134,135,133,129,129,130,131,132,132,132,132,133,133,132,132,132,132,133,133,131,131,133,136,138,138,138,136,132,131,135,137,136,135,133,133,134,135,133,131,129,131,132,132,130,131,134,137,138,138,137,134,130,127,127,127,128,131,134,134,132,131,130,130,131,133,134,135,136,136,139,140,137,134,133,131,131,133,135,137,138,138,139,140,140,138,137,137,138,140,141,141,141,139,138,138,139,140,139,139,139,139,137,134,134,134,133,132,131,132,133,134,135,137,138,140,141,141,141,140,140,140,140,141,143,144,144,144,142,140,139,140,141,142,142,140,139,140,142,143,143,144,146,147,149,150,150,150,150,149,149,150,149,146,145,146,148,148,148,151,152,151,151,152,152,151,152,152,153,154,157,157,154,150,148,147,147,148,149,147,146,147,147,146,145,148,150,151,153,156,158,156,150,146,145,145,147,150,152,152,150,149,147,145,145,146,148,150,151,152,152,151,148,148,148,149,150,152,154,154,154,154,155,155,154,153,153,154,156,158,157,155,155,157,160,161,160,160,159,160,160,160,158,155,155,156,155,152,151,151,149,146,147,150,153,154,153,151,151,151,151,150,148,148,150,153,153,153,154,154,154,155,157,158,156,152,149,149,151,152,152,152,152,153,153,151,149,149,149,148,151,155,157,156,154,151,150,149,148,148,150,152,152,151,151,151,152,154,156,158,158,161,161,159,156,155,156,157,156,154,151,149,147,146,150,154,155,152,149,151,155,156,153,150,151,154,156,155,154,158,159,158,159,161,162,159,158,160,161,158,157,157,158,158,159,162,164,166,169,173,175,173,169,171,175,178,178,176,174,169,164,165,169,171,170,168,171,173,171,170,171,173,171,168,169,172,171,170,172,174,176,178,174,172,176,180,179,179,177,170,169,171,167,164,165,165,165,163,160,160,164,166,163,165,168,167,165,165,165,164,161,159,157,156,156,156,159,162,161,158,155,158,160,157,152,150,150,153,153,150,147,151,156,157,153,151,156,157,157,162,164,161,159,158,156,155,156,159,158,153,151,152,150,149,149,151,151,150,null],[130,130,131,134,134,132,132,133,132,131,130,128,130,130,126,122,124,129,131,128,126,128,130,128,124,122,123,126,129,129,126,122,120,120,122,123,124,125,129,133,135,134,134,134,136,136,134,133,133,133,132,132,133,134,133,133,132,131,131,132,134,135,133,133,132,132,132,135,137,139,138,134,133,136,137,137,136,136,136,135,134,132,132,132,134,134,133,132,132,134,136,136,136,134,133,131,130,130,130,132,135,137,135,133,133,131,132,134,135,137,137,137,137,138,139,138,137,136,133,130,130,133,135,135,136,137,138,138,136,135,136,138,141,142,141,140,141,141,140,140,140,139,139,139,141,139,136,136,136,133,131,131,133,133,132,132,135,139,140,140,141,142,142,142,141,140,139,141,142,143,143,143,141,140,139,139,141,144,145,144,143,144,145,145,145,146,148,150,151,151,151,152,151,151,152,152,150,148,149,150,149,148,151,154,154,153,152,152,153,153,154,155,156,158,158,154,149,147,147,148,148,149,149,150,151,150,147,145,146,150,153,156,158,156,151,145,144,145,147,149,150,152,153,152,151,151,148,146,145,147,150,151,152,151,150,148,148,150,152,151,151,153,154,155,157,157,157,155,154,154,155,157,159,158,157,156,157,160,162,162,160,159,158,157,157,158,158,158,157,156,154,154,154,151,149,148,150,152,152,152,152,152,152,151,150,148,148,150,152,151,150,150,152,153,154,155,157,157,155,152,150,150,151,152,151,152,153,153,150,148,149,151,153,154,155,155,155,154,153,151,148,146,145,148,150,150,151,152,152,153,153,155,157,159,161,161,155,151,152,155,155,152,150,149,148,148,149,151,153,154,152,150,153,157,160,157,154,153,154,155,153,153,155,156,155,154,154,156,160,163,160,157,156,155,154,155,156,158,162,167,171,170,168,169,169,169,174,178,178,178,178,176,171,165,165,168,170,171,171,174,176,173,170,171,174,173,167,166,169,169,167,167,171,175,175,172,171,173,176,178,179,177,170,168,168,165,164,166,169,168,165,163,165,167,166,164,164,166,167,165,164,164,164,161,157,155,157,161,162,162,161,158,157,157,160,159,155,152,152,149,149,149,148,147,153,156,155,151,150,153,156,158,162,163,159,157,157,154,154,155,156,155,153,153,155,153,153,153,152,152,150,null],[131,130,131,134,134,131,129,129,131,131,130,129,129,129,125,122,123,126,128,128,127,126,127,127,125,123,123,125,127,128,125,120,119,122,123,125,125,126,129,132,134,135,134,133,133,134,135,136,135,133,131,132,134,135,134,132,130,128,128,130,134,134,132,133,133,131,131,133,136,138,137,136,136,137,138,138,138,139,139,137,134,133,133,135,135,134,134,134,135,136,136,136,135,133,133,133,132,132,132,134,137,138,134,133,134,134,134,134,136,137,136,137,138,138,137,137,138,138,135,131,129,131,134,134,134,134,134,135,135,135,135,137,140,140,139,140,141,140,139,140,141,140,140,139,140,140,138,138,139,137,134,133,133,133,132,131,132,137,139,139,139,141,143,143,142,140,139,140,141,140,140,142,143,143,141,140,143,146,148,149,148,146,144,145,147,149,151,152,152,152,153,151,150,151,153,154,153,151,151,151,151,151,152,155,156,154,153,153,154,156,157,157,158,158,158,153,148,148,150,150,150,150,152,153,153,151,149,146,146,149,153,156,157,156,150,145,144,146,148,149,149,151,152,152,153,153,151,148,145,147,150,151,152,152,152,151,151,153,153,152,150,151,153,156,158,159,158,155,153,153,156,159,160,160,159,157,156,158,161,162,160,158,158,155,154,157,158,158,158,156,155,155,156,154,153,151,150,149,150,150,151,151,151,150,150,149,149,150,151,152,151,151,152,154,155,157,160,160,158,156,153,151,151,151,151,153,153,152,149,148,150,153,157,158,157,154,153,154,155,152,147,144,144,147,149,149,151,152,155,155,154,154,156,159,159,157,152,151,153,155,154,149,148,149,148,149,151,151,150,150,150,149,153,157,159,160,158,157,157,155,154,153,152,156,157,154,150,150,157,162,158,154,157,157,157,158,158,158,162,167,171,168,163,164,166,168,173,177,176,176,177,175,172,169,166,166,168,170,172,174,174,171,168,169,173,173,169,167,168,171,170,168,169,171,170,171,173,173,173,175,176,174,169,168,168,168,168,170,172,171,167,167,169,170,168,167,164,163,165,165,163,162,163,163,160,158,160,164,164,163,161,158,158,161,160,157,154,155,155,150,146,145,145,146,151,154,152,149,149,151,155,158,160,160,158,158,158,156,155,156,155,155,155,157,157,155,154,156,155,151,149,null],[130,129,129,131,133,131,129,128,129,131,131,130,129,127,124,122,122,124,126,129,130,127,126,127,125,123,124,124,123,123,120,118,120,125,126,125,125,126,128,130,131,132,132,130,129,130,133,135,134,131,132,134,134,134,131,130,129,126,127,129,132,132,131,131,132,132,134,135,136,136,136,137,139,139,140,140,139,141,141,139,136,136,136,136,135,135,135,136,137,138,137,136,136,135,133,133,134,133,132,134,136,136,134,133,135,136,135,134,134,134,134,136,138,138,138,138,139,139,137,134,131,132,134,136,136,134,133,133,135,135,134,135,136,136,136,138,138,138,139,141,143,143,141,138,139,139,139,141,141,141,139,136,134,134,134,132,132,135,137,137,138,139,142,142,142,142,142,142,141,140,139,141,143,145,145,145,145,146,148,150,151,148,144,144,147,151,153,154,154,154,153,150,148,149,153,155,154,152,151,151,152,154,154,155,156,155,154,154,155,156,157,157,157,157,156,153,150,151,154,154,152,152,153,153,152,152,151,149,148,150,152,155,156,156,153,148,146,147,149,148,148,149,150,151,153,154,153,150,147,148,150,151,151,152,154,155,154,154,154,153,151,150,152,156,158,160,158,155,152,152,156,159,161,160,159,156,156,157,160,160,158,157,158,156,153,154,155,156,158,157,156,154,154,155,155,153,150,149,148,148,149,150,149,149,149,151,152,152,152,154,155,155,155,156,156,159,162,161,159,157,156,153,150,149,152,155,154,151,149,150,151,153,157,159,158,153,150,152,154,152,146,143,145,148,150,150,150,152,156,157,157,156,157,158,156,153,152,154,155,156,154,150,149,150,149,149,151,150,147,146,147,149,152,155,156,158,160,161,160,156,156,155,153,157,161,158,152,150,153,156,155,155,160,161,162,164,163,160,162,165,167,166,163,164,165,166,169,172,174,176,177,175,173,173,170,168,168,170,172,174,173,171,169,169,171,173,173,168,167,172,175,173,170,168,168,172,175,174,172,171,171,169,168,169,171,172,172,171,170,170,168,169,171,170,170,169,165,161,161,161,161,162,163,166,165,164,164,164,161,161,162,162,163,164,159,155,154,157,158,152,145,145,145,146,149,149,149,150,151,152,156,158,157,156,157,159,160,159,157,157,155,156,159,160,159,154,154,156,156,152,148,null],[129,127,126,127,131,132,129,127,126,128,130,130,129,127,125,124,123,123,125,128,129,128,127,126,124,122,120,121,120,119,117,117,121,126,128,127,126,127,127,127,127,129,129,128,126,129,131,130,130,131,134,135,135,132,130,130,129,126,127,130,130,131,132,130,129,132,135,136,136,135,135,136,138,138,140,141,141,141,141,141,140,140,139,137,137,137,137,138,138,138,138,137,138,137,134,133,135,133,132,134,135,135,136,136,136,137,136,133,131,132,132,134,136,138,139,139,138,138,138,136,134,134,136,139,140,139,135,133,135,137,136,134,133,133,134,134,136,138,141,144,145,144,140,138,139,140,141,142,142,141,140,139,137,136,136,135,135,136,136,136,138,140,141,142,142,143,144,145,143,142,140,141,143,145,147,148,148,147,147,149,151,150,145,143,146,150,153,153,154,154,153,149,147,149,152,153,153,153,152,151,151,153,155,155,156,155,154,154,155,156,156,156,156,156,155,154,153,153,155,156,153,151,152,152,152,153,153,151,150,150,152,154,155,155,154,151,148,148,150,150,149,149,150,151,152,153,154,153,150,149,150,151,151,152,153,155,156,157,158,156,154,153,153,154,156,158,158,155,152,154,157,160,160,158,157,157,158,158,159,158,155,156,158,158,154,151,152,155,157,157,155,153,152,154,154,153,151,150,149,147,146,147,148,148,150,153,154,153,153,154,156,158,158,157,156,158,159,158,157,156,155,152,148,149,153,155,153,150,149,151,152,154,157,159,158,152,148,148,150,150,146,144,146,149,151,152,153,154,157,159,159,158,157,157,154,153,154,156,156,155,154,151,150,150,148,148,150,150,149,147,147,149,154,156,155,156,160,164,163,159,159,160,156,156,159,159,157,156,153,152,155,158,160,161,163,166,166,163,162,163,166,166,165,166,167,167,169,173,175,178,179,177,175,175,173,170,171,172,174,175,175,175,173,173,173,174,174,170,168,171,175,175,174,172,172,173,175,174,171,168,166,166,166,168,172,173,171,169,167,167,167,169,170,169,168,166,164,161,158,157,159,162,165,168,168,167,166,164,161,160,162,164,165,164,160,156,156,158,158,152,148,150,149,148,147,146,148,152,155,155,157,158,154,151,153,156,158,158,156,155,154,155,159,161,159,154,152,153,154,152,148,null],[129,127,126,126,130,132,129,125,124,126,128,129,128,128,127,125,123,123,125,126,126,127,127,125,123,119,117,118,119,118,117,118,121,125,128,128,127,127,127,125,126,127,128,127,127,129,128,125,128,133,136,136,134,131,129,129,129,127,128,130,129,130,131,129,129,132,135,135,135,134,135,136,137,137,139,141,141,139,140,141,142,143,141,139,139,141,140,140,139,138,138,137,138,138,135,134,135,133,133,134,135,136,139,139,137,136,136,134,132,132,132,133,135,138,139,139,139,139,138,137,136,136,139,142,144,143,138,135,137,140,139,136,134,134,133,133,136,140,143,146,146,144,141,140,140,141,142,144,143,141,140,141,140,138,137,138,139,138,136,135,138,141,142,142,142,144,145,146,145,144,143,143,143,145,146,149,149,148,147,149,151,150,147,145,146,149,152,153,152,152,152,149,148,149,149,149,150,152,153,151,149,151,154,155,156,155,154,154,155,155,154,154,155,156,156,157,156,154,154,155,154,152,151,153,155,155,154,152,150,151,153,154,154,154,153,152,148,148,151,152,151,151,151,151,151,152,155,156,153,150,150,151,150,150,151,154,156,159,161,160,158,156,154,154,156,158,158,155,154,156,159,160,160,157,155,157,160,162,162,159,155,155,157,157,154,149,150,153,156,155,153,151,151,153,153,152,153,153,151,149,147,147,147,148,152,154,152,151,153,154,156,158,159,159,156,155,156,156,156,156,154,150,148,149,153,153,151,148,149,151,153,155,157,157,154,150,147,146,147,147,146,147,149,150,151,152,154,156,158,161,161,158,155,153,153,154,156,156,154,153,152,150,150,150,148,148,150,151,152,152,150,150,155,158,156,156,160,164,163,161,163,164,158,155,156,157,159,162,159,155,157,159,158,159,161,165,168,168,164,164,168,169,167,169,170,169,171,174,175,178,180,178,176,177,175,172,173,173,174,176,177,176,177,178,176,174,173,172,170,169,171,173,175,176,177,174,172,171,168,163,164,165,164,166,169,170,169,168,165,164,166,168,168,168,166,162,160,160,155,154,157,162,166,168,168,166,165,164,162,158,158,162,165,162,159,158,159,158,157,154,153,154,154,150,146,145,148,153,157,155,156,157,152,148,148,152,155,156,154,151,151,153,157,159,158,155,152,150,152,153,150,null],[130,129,127,126,129,131,128,123,124,127,129,128,128,129,128,125,121,121,125,126,124,124,124,123,121,117,115,116,119,120,120,120,120,123,127,127,124,124,124,124,125,127,128,128,129,128,126,123,127,133,135,134,132,130,128,128,129,128,129,129,129,128,128,129,131,133,133,133,133,133,136,137,137,136,138,140,140,139,139,139,141,143,142,140,141,142,141,141,140,140,138,136,138,139,137,136,135,133,134,136,136,137,140,140,138,137,137,137,134,132,132,134,135,137,138,138,139,140,140,138,136,137,140,142,143,142,138,137,140,142,140,138,138,137,135,134,138,142,144,144,143,143,143,143,141,140,142,144,145,143,142,142,141,138,137,139,140,139,135,133,136,140,142,142,142,144,145,144,143,143,144,145,145,144,146,148,149,149,149,150,151,150,148,148,148,149,153,153,150,150,151,151,149,147,146,147,149,152,153,151,150,151,153,155,155,154,154,155,156,156,155,153,153,156,159,158,157,155,155,156,156,154,153,155,158,157,155,153,150,151,154,156,155,153,151,150,147,147,150,153,154,152,151,151,152,154,156,156,154,151,150,149,149,149,152,155,158,160,162,161,159,156,155,156,159,160,159,157,156,158,159,159,159,157,155,156,160,165,167,164,157,154,154,153,152,150,150,152,153,152,151,149,150,152,152,152,154,155,154,153,151,148,147,150,153,153,150,150,153,155,157,159,161,161,157,154,155,157,159,158,155,151,149,149,150,149,147,147,149,151,153,154,155,153,149,147,147,146,146,146,147,150,153,152,150,150,152,155,158,161,160,157,152,150,151,154,156,156,153,151,150,150,150,151,151,151,151,151,153,155,154,151,155,158,157,160,163,162,162,163,165,164,159,157,157,157,159,164,164,161,161,160,157,158,161,164,170,171,167,165,169,171,171,172,172,171,172,173,174,177,179,177,175,177,176,173,171,170,172,176,177,174,175,178,175,173,172,174,174,171,169,170,172,175,177,174,169,166,164,161,164,166,165,164,165,166,168,169,167,164,165,165,165,166,165,160,157,156,154,154,157,160,163,166,167,164,163,162,160,156,155,160,162,160,160,161,161,159,157,157,157,155,153,150,147,146,148,152,154,151,152,154,152,148,146,150,155,156,152,148,149,152,154,157,157,157,154,150,152,154,152,null],[129,129,127,125,127,129,127,124,126,128,128,127,127,129,128,124,119,120,124,125,123,120,120,120,120,118,118,119,120,121,121,121,121,123,126,125,121,121,123,124,125,127,127,128,129,128,126,124,126,130,131,130,129,128,127,128,130,130,130,130,131,129,127,129,131,131,131,131,132,134,136,136,134,134,136,139,138,138,138,138,139,141,141,140,141,141,140,140,141,141,140,138,138,139,138,137,137,134,134,136,136,136,138,139,139,139,139,139,134,131,132,135,137,138,138,137,138,142,142,139,137,137,140,141,142,142,139,139,142,142,140,141,142,139,136,135,139,141,142,142,141,141,142,142,142,142,142,143,144,142,141,141,141,139,139,140,142,139,133,131,134,139,143,143,143,143,143,141,140,140,143,145,143,143,145,147,148,148,149,151,151,150,148,149,150,151,153,152,148,148,150,150,148,146,147,148,150,152,152,151,150,152,153,154,154,153,152,153,154,155,155,154,154,156,159,158,157,158,158,158,158,157,155,155,157,157,156,153,151,152,155,156,156,154,152,149,147,147,150,153,155,153,152,152,153,155,157,156,154,152,150,148,149,150,153,157,160,161,161,162,160,156,156,158,160,160,158,158,159,160,158,157,157,156,156,158,162,167,169,166,160,156,154,153,153,153,152,152,153,153,151,151,151,151,151,152,152,153,154,155,154,150,148,149,150,149,149,150,153,157,159,159,161,160,157,153,155,158,161,158,155,151,148,147,148,146,146,149,152,154,154,153,153,151,149,147,147,147,148,148,149,153,155,155,153,152,152,154,158,160,158,156,152,148,150,154,157,156,153,150,149,149,149,150,151,152,152,151,150,154,155,155,155,156,158,164,167,163,162,165,166,162,158,158,160,160,160,164,165,165,166,163,159,158,161,166,171,172,169,167,169,171,172,172,173,173,174,174,175,176,176,174,173,172,172,170,169,168,170,173,174,172,172,174,171,169,170,174,177,176,172,170,169,172,175,173,169,165,164,163,164,164,165,165,163,163,165,168,167,164,163,162,162,165,166,162,158,156,156,156,156,157,160,163,164,163,162,161,159,157,156,158,159,160,162,164,162,159,158,160,159,154,151,149,148,148,148,150,150,148,148,150,150,148,148,151,155,156,153,150,148,149,152,154,157,158,156,151,150,152,153,null],[128,127,125,124,125,126,126,126,126,127,128,127,127,128,126,121,118,120,123,124,121,118,119,120,121,121,122,123,122,122,122,123,123,124,125,123,121,122,124,125,126,125,126,127,128,128,127,125,125,125,125,126,126,127,128,130,131,131,131,132,134,133,130,130,130,129,128,129,132,134,134,132,131,132,135,137,137,137,137,137,137,139,140,140,139,138,138,139,140,142,142,140,140,140,138,139,139,135,134,135,136,136,137,139,141,142,141,138,133,130,132,136,138,140,140,137,138,142,143,139,136,136,139,141,142,143,142,141,142,142,141,143,143,139,136,135,137,139,140,141,141,140,139,141,143,144,142,142,142,140,139,139,140,141,141,143,143,139,133,130,132,137,141,142,142,141,140,139,138,140,142,143,142,142,145,147,147,147,148,151,152,150,147,147,149,151,151,149,147,147,148,146,146,147,149,150,151,151,151,150,151,152,153,152,151,151,150,151,151,153,154,155,157,158,159,158,158,160,160,160,160,158,155,154,155,157,156,154,153,154,155,156,156,156,154,151,149,149,150,152,154,153,152,153,155,156,156,155,153,152,150,149,150,153,155,157,160,160,159,160,160,159,157,158,160,159,158,158,160,160,158,156,155,156,158,161,163,165,165,165,162,159,157,156,156,154,153,153,155,155,154,153,152,150,150,150,150,150,153,154,153,151,149,147,146,147,149,151,154,158,161,159,158,156,155,153,155,159,160,157,153,150,147,146,146,145,146,151,156,157,156,154,153,152,151,149,148,147,148,149,150,152,154,155,155,155,155,156,158,158,156,155,152,149,150,155,157,155,152,149,149,149,149,148,150,152,153,151,149,152,156,159,159,159,161,166,169,165,164,167,165,161,158,160,163,163,162,162,163,167,169,167,162,160,162,168,171,170,169,169,169,170,170,170,172,174,175,175,174,173,172,172,171,167,166,166,165,167,170,170,170,169,169,168,165,166,169,173,177,180,177,172,170,171,172,171,169,166,166,165,163,162,163,164,163,162,162,165,165,164,163,161,160,163,165,164,161,160,160,158,154,154,157,161,163,162,161,161,161,161,159,158,157,160,163,165,162,159,158,159,158,154,151,150,148,147,147,146,146,146,147,148,147,148,150,152,154,155,155,153,149,147,150,153,156,157,155,150,148,150,152,null],[126,126,125,124,124,124,124,125,125,127,128,127,126,125,122,119,118,120,122,121,119,119,120,122,122,122,124,125,124,123,123,124,124,124,124,124,124,125,126,127,126,126,126,126,127,127,127,126,124,124,124,124,125,127,130,132,131,131,132,134,136,135,133,131,129,128,127,128,130,132,133,131,130,131,133,135,136,137,137,136,135,138,141,140,137,135,137,138,139,140,141,142,142,140,139,140,141,137,133,133,135,137,138,140,143,143,141,137,133,131,133,135,136,139,141,140,141,142,141,137,134,134,138,140,141,142,142,143,143,143,143,142,140,138,136,135,136,138,141,143,142,140,139,141,144,145,143,143,142,140,139,139,140,141,143,145,145,141,135,132,132,135,137,139,140,139,138,139,140,142,144,145,144,144,147,148,149,148,148,150,152,149,146,145,147,148,148,146,145,145,145,144,146,148,149,149,149,150,150,149,149,151,151,149,149,150,151,151,151,152,154,157,160,161,160,160,160,161,160,160,160,157,153,153,157,159,157,155,155,156,156,156,157,156,155,152,151,151,151,152,152,153,153,155,155,154,153,152,153,152,151,150,151,153,155,157,158,158,157,158,161,162,159,156,158,160,161,159,158,158,158,155,155,157,161,163,161,159,160,162,162,161,160,159,157,154,153,154,157,156,154,153,152,150,148,148,148,149,150,150,150,150,149,147,147,148,150,152,154,158,159,157,154,153,154,155,156,159,159,156,152,150,148,146,145,144,145,150,154,156,157,156,155,153,151,150,149,148,147,147,148,150,151,152,153,156,158,159,160,158,155,151,149,150,153,156,155,152,149,149,149,149,148,149,152,155,156,153,150,153,159,163,164,165,166,167,168,166,166,166,164,161,161,162,164,164,163,160,161,165,168,166,162,162,165,167,168,167,166,168,170,170,167,167,171,174,174,170,168,166,167,170,170,165,163,163,164,167,170,169,167,166,165,163,163,166,171,174,176,177,176,175,173,173,171,168,165,164,164,164,161,160,160,160,161,161,162,164,164,163,162,162,162,161,161,162,162,162,162,159,155,153,156,162,164,160,160,162,163,164,161,158,156,158,159,161,161,159,157,157,157,156,154,152,148,146,146,146,146,146,146,147,146,147,150,150,151,153,155,154,149,147,150,153,154,153,150,147,147,149,150,null],[124,125,124,123,124,124,124,125,125,127,128,127,125,123,120,118,118,119,120,119,119,120,122,123,122,122,124,125,124,123,123,123,123,123,124,125,127,127,128,128,127,127,127,127,127,128,127,127,126,126,125,125,126,128,130,131,131,132,133,135,135,135,133,131,129,128,128,128,128,130,131,131,131,131,132,133,134,136,137,135,134,139,141,138,135,135,137,139,139,140,141,143,143,141,140,141,140,137,133,133,135,137,138,140,142,142,140,136,133,133,135,135,134,137,142,144,143,141,139,136,135,135,138,140,140,139,141,143,143,144,144,141,138,136,134,135,137,140,143,144,143,142,142,143,145,145,144,144,144,142,140,138,139,140,144,146,146,142,137,135,135,135,135,137,138,138,139,141,142,144,146,146,147,147,149,150,151,150,149,149,149,146,144,144,145,146,146,144,143,143,145,146,147,147,147,148,149,150,150,148,148,149,149,147,147,150,152,153,153,154,156,159,161,161,160,161,162,161,159,158,159,156,153,154,158,159,157,155,156,157,156,156,157,157,155,153,153,153,154,152,152,153,156,157,155,152,152,152,153,153,152,151,152,153,156,157,157,156,155,157,161,163,159,156,157,160,161,159,157,156,156,156,156,159,162,161,158,157,158,161,163,163,163,161,157,154,155,157,158,156,154,153,152,151,149,148,148,148,147,147,147,149,149,147,148,149,149,151,153,156,156,155,153,152,153,155,156,158,157,154,151,149,150,149,145,143,144,148,152,154,155,156,156,152,150,150,150,149,147,145,147,150,151,151,152,156,159,160,160,159,157,150,146,150,154,155,153,149,148,149,150,148,148,150,155,159,160,157,154,157,162,166,168,169,168,166,164,163,164,164,164,164,164,164,164,164,162,159,159,163,165,163,161,162,165,166,166,164,163,166,170,168,165,166,170,172,169,164,163,162,163,167,168,165,163,163,165,167,169,167,165,165,165,164,166,169,172,174,174,174,175,178,177,176,172,166,162,161,161,160,161,161,160,159,158,159,160,161,160,159,161,164,166,163,159,159,160,159,160,160,158,152,153,163,164,159,159,163,164,164,162,160,158,157,157,158,159,157,156,156,158,158,157,155,151,150,148,147,147,148,148,148,147,147,148,149,149,150,152,153,149,147,149,151,152,151,147,145,146,148,148,null],[122,122,123,122,124,127,127,126,127,129,128,125,122,122,121,119,118,117,117,119,120,121,122,123,124,124,123,122,122,123,124,124,123,123,124,125,127,127,127,127,128,129,129,129,128,129,130,129,129,129,128,127,128,129,129,129,131,132,134,135,134,133,132,131,130,130,129,129,128,128,130,130,131,132,132,132,133,135,136,134,134,139,139,135,135,136,138,140,140,141,142,143,143,142,140,139,138,136,135,135,136,136,138,139,140,141,140,136,134,134,138,138,136,137,141,144,142,139,137,137,137,138,139,140,139,138,140,142,143,144,144,141,137,134,133,135,140,144,144,143,142,143,144,145,146,145,145,145,145,144,141,138,138,139,141,144,144,141,137,136,137,138,138,138,138,139,140,141,142,143,144,145,147,148,149,150,150,150,150,149,146,143,142,143,145,146,145,142,140,142,146,149,148,145,145,149,150,150,149,147,146,148,148,147,148,151,153,154,154,155,158,160,161,159,158,160,162,161,158,157,158,157,154,155,156,156,155,155,155,156,156,157,158,158,157,155,154,155,156,155,154,156,158,158,155,153,153,154,154,154,154,153,152,153,157,160,159,156,154,155,159,160,158,156,156,157,158,158,156,154,154,155,157,159,159,157,156,158,159,161,164,165,165,161,158,158,160,161,158,156,155,154,153,152,152,151,148,146,147,147,148,148,148,147,147,147,147,149,152,154,154,154,153,153,152,153,155,155,155,153,149,148,150,150,147,144,145,148,151,153,153,153,154,152,149,150,150,149,147,146,148,152,154,153,153,156,157,157,156,159,159,151,145,149,153,153,151,148,148,150,151,149,149,151,156,162,163,161,159,160,163,167,168,168,166,163,160,159,161,163,166,167,166,164,163,162,161,158,158,161,163,162,159,159,162,166,166,162,160,162,167,166,164,166,168,167,164,162,163,164,162,164,165,165,164,165,168,169,167,165,165,166,167,168,170,171,170,172,174,175,176,180,180,176,171,166,162,161,161,161,163,164,163,161,159,156,155,157,156,156,158,164,168,166,161,157,155,154,156,158,158,152,151,161,163,158,159,162,162,162,162,162,161,159,158,158,157,155,155,156,159,159,157,155,157,157,155,151,150,151,151,149,148,147,146,148,150,150,151,151,149,147,147,149,151,151,148,145,145,147,146,null],[120,120,121,121,123,127,128,127,127,127,126,121,119,121,121,119,118,117,117,118,119,122,124,125,127,127,125,122,122,125,128,127,125,125,125,124,125,126,125,126,128,130,131,130,130,130,131,131,132,131,129,128,129,130,129,129,130,131,133,134,134,133,132,132,132,130,130,130,129,129,129,129,130,133,133,133,134,136,137,136,136,138,136,133,134,137,139,141,142,141,142,144,144,142,138,136,136,136,136,136,137,136,136,137,139,141,139,136,134,136,141,141,138,138,140,142,140,137,136,138,140,140,140,140,140,139,141,142,143,143,142,140,137,135,134,135,140,143,142,142,142,144,145,145,144,144,146,147,146,144,142,140,140,139,139,140,141,139,137,137,138,140,141,140,139,139,139,139,140,141,140,141,144,147,148,149,149,149,151,149,144,142,142,143,145,146,144,141,140,143,146,148,146,144,146,150,150,150,149,146,146,147,148,149,151,153,154,154,154,156,159,161,161,159,157,158,160,159,158,158,158,157,155,154,154,155,156,155,155,156,157,158,159,160,159,158,157,156,157,158,158,158,158,157,155,155,156,156,155,154,154,153,153,155,159,162,162,158,154,153,154,155,155,156,156,156,156,156,155,153,152,154,157,158,157,156,157,159,160,161,162,164,163,161,160,160,162,161,156,152,153,155,155,154,152,150,149,149,150,150,148,146,146,146,145,145,148,151,153,155,154,153,153,152,151,152,153,153,152,150,148,148,149,149,148,145,144,147,150,152,151,152,154,154,151,150,149,147,145,146,148,152,155,153,152,154,154,152,152,156,158,152,147,149,151,151,150,149,149,150,151,152,152,152,155,161,164,165,163,161,163,166,167,165,162,160,159,159,161,165,168,167,163,159,158,159,159,157,157,161,162,160,155,156,160,163,165,164,160,160,164,162,161,166,166,162,160,162,165,165,162,162,163,163,164,166,170,170,166,164,164,167,169,170,171,171,169,170,174,176,177,179,178,174,170,166,164,165,165,165,166,166,164,163,160,156,154,156,157,156,157,161,164,164,160,155,151,149,150,153,155,152,151,158,160,157,158,161,162,161,159,160,161,161,159,157,156,156,155,155,156,156,155,156,159,161,160,156,154,152,150,147,146,146,145,148,152,151,150,149,148,148,148,148,150,151,149,146,146,146,146,null],[119,119,121,122,123,126,126,125,124,124,123,119,118,119,119,118,119,119,118,118,120,126,128,128,130,131,128,123,122,127,131,130,128,126,126,124,124,125,125,125,126,129,130,130,130,130,131,132,132,132,129,128,128,131,132,131,130,130,132,134,136,135,134,134,133,132,131,131,131,132,132,128,128,133,134,134,135,137,137,137,136,136,134,132,134,137,138,141,141,140,141,144,145,141,135,134,136,137,138,138,137,137,136,138,141,141,139,136,134,137,141,142,140,140,142,141,140,138,137,139,142,143,141,140,140,140,142,142,141,141,140,138,138,138,137,136,137,138,139,140,142,143,143,143,142,144,147,148,146,145,144,143,142,140,139,137,137,137,138,138,139,141,143,142,140,139,139,139,140,140,139,140,142,145,147,148,146,146,148,147,144,143,144,144,144,144,142,141,143,144,145,144,144,145,147,149,149,149,149,147,145,146,148,150,153,154,154,154,155,156,158,160,161,160,157,156,157,157,157,157,156,155,155,154,155,156,156,155,155,156,157,159,160,160,160,160,160,158,158,159,160,158,156,155,156,158,158,157,155,154,153,152,153,156,161,164,164,159,155,152,151,152,154,156,158,157,156,155,154,152,153,155,157,157,156,156,158,159,159,158,159,160,160,159,159,160,161,159,155,150,150,154,156,154,151,150,151,153,153,151,148,145,146,146,145,146,150,154,155,156,155,152,151,150,151,152,153,152,151,148,148,148,148,148,148,145,144,146,149,150,151,152,156,156,153,150,147,145,145,146,147,150,152,151,150,152,151,148,150,154,156,151,148,150,150,149,148,150,151,152,152,155,155,155,156,159,162,165,164,161,162,165,166,164,161,159,160,161,163,166,167,164,160,156,153,155,156,155,157,160,161,157,153,155,159,160,163,164,160,158,160,160,160,165,164,160,160,163,164,163,162,162,163,162,163,165,168,167,164,164,165,167,168,167,169,169,169,171,174,175,175,176,174,171,169,167,166,168,168,167,167,167,164,162,160,158,157,159,161,160,159,158,158,158,155,153,151,150,150,152,155,154,153,155,155,156,157,161,163,159,155,156,160,161,159,157,158,158,156,154,152,152,153,155,157,160,160,159,155,152,148,145,145,145,144,147,151,151,149,147,148,150,151,151,149,149,148,146,147,147,148,null],[117,118,122,125,125,124,122,121,121,121,121,120,119,119,119,119,120,120,120,120,123,130,131,130,133,135,132,124,121,127,132,132,130,128,128,127,126,126,125,125,125,127,129,130,131,130,131,133,133,132,129,128,128,132,133,132,130,130,132,135,137,137,136,135,135,134,133,132,133,135,134,130,128,131,133,133,134,135,135,135,135,134,133,133,135,138,138,138,138,139,141,144,144,140,136,135,137,139,140,140,138,137,138,141,143,143,140,136,135,136,140,141,140,142,144,142,141,140,139,139,143,144,143,141,140,139,139,139,139,139,139,139,139,141,141,138,135,135,137,139,139,140,140,141,142,144,146,146,145,146,145,144,144,142,139,136,136,138,139,140,140,142,144,143,142,142,142,141,141,141,142,142,142,145,147,146,143,141,143,144,144,145,144,144,144,143,142,142,144,145,144,143,142,143,145,147,147,148,149,147,146,146,147,150,152,153,153,155,156,157,157,158,160,160,157,155,155,156,156,153,152,152,154,156,157,157,156,154,154,155,156,158,159,159,159,160,162,162,160,159,159,157,155,156,158,159,158,157,156,154,153,153,155,158,163,164,161,158,156,154,153,153,156,159,159,158,155,153,152,153,155,157,158,158,157,158,159,159,157,155,155,157,158,157,156,157,156,155,155,152,150,152,155,154,152,152,153,153,152,149,146,146,146,146,147,149,152,153,154,156,155,153,149,149,151,153,153,153,151,148,147,147,147,147,147,146,146,148,149,150,151,153,155,156,154,150,146,145,146,146,146,148,150,150,151,152,150,148,148,152,155,151,148,149,148,147,148,151,154,155,155,155,156,159,161,161,161,162,163,163,164,165,164,163,162,161,161,161,162,162,162,161,159,156,153,153,152,153,157,160,160,156,153,156,159,159,160,160,158,157,158,160,161,162,161,160,162,164,162,160,160,163,163,162,161,162,163,162,162,165,168,168,166,163,164,167,171,174,174,173,172,172,170,168,168,168,168,168,167,165,164,164,163,161,160,160,162,165,164,163,161,160,158,155,153,154,156,158,157,157,158,157,154,152,152,154,157,161,161,158,155,156,159,160,160,160,160,159,158,157,155,152,151,151,153,156,158,158,155,151,148,147,147,146,145,146,148,148,147,147,147,150,153,152,149,147,145,145,148,150,150,null],[118,118,121,124,124,122,120,120,119,118,118,119,119,119,120,121,124,123,121,121,124,129,130,131,133,134,131,126,124,126,130,131,131,132,133,132,131,128,126,126,126,127,129,130,130,129,130,133,133,132,130,130,131,134,134,132,131,133,133,135,137,138,138,138,137,137,135,134,134,136,135,132,129,130,131,132,132,132,132,133,135,135,135,136,137,138,137,136,137,138,141,143,143,141,139,137,138,139,141,141,139,138,140,143,144,142,140,138,137,137,140,140,140,142,145,143,141,141,142,142,142,142,142,142,140,139,138,138,138,138,139,141,141,142,143,140,135,134,137,140,139,139,139,140,142,144,144,145,145,145,143,143,143,142,139,136,136,138,140,141,142,144,145,145,145,145,145,144,143,144,146,145,143,144,145,142,139,137,138,141,143,142,142,143,144,144,143,142,143,144,145,145,143,142,143,145,146,147,148,147,146,147,148,149,150,152,154,157,157,156,155,157,159,159,157,154,153,154,154,154,153,153,154,156,156,156,155,154,154,154,154,156,158,158,157,159,161,162,161,160,159,157,156,156,157,158,157,155,154,154,155,157,158,160,163,163,160,158,158,156,154,153,157,160,159,157,154,151,151,153,156,158,158,157,157,157,157,157,156,155,155,156,157,156,155,155,153,152,154,154,151,151,152,152,153,154,153,151,148,146,146,146,146,146,147,148,150,151,153,155,155,153,150,149,150,152,153,154,152,148,146,146,147,147,147,148,150,150,150,150,152,153,152,153,153,151,149,147,146,146,146,147,148,150,152,152,150,147,148,152,155,151,148,148,146,146,149,152,155,156,155,154,157,161,164,162,160,160,162,162,163,164,163,162,161,161,159,159,159,158,158,159,159,158,155,153,152,152,157,160,157,155,156,158,159,158,156,156,156,157,157,159,159,159,159,160,162,162,159,158,159,162,163,164,164,164,161,161,162,164,167,167,165,162,163,166,171,173,172,171,169,168,166,165,166,168,169,168,166,163,161,160,161,161,161,162,164,166,166,165,164,163,159,155,154,156,160,163,162,162,161,158,153,150,150,152,156,158,158,156,156,156,158,160,160,161,161,161,161,161,159,155,151,150,151,153,154,155,155,153,152,151,150,148,145,144,144,143,144,145,147,149,151,151,149,145,143,145,149,151,151,null],[120,119,119,120,121,120,120,120,119,117,116,116,117,118,120,125,128,126,121,121,123,125,127,130,132,132,130,129,128,127,127,128,132,136,136,135,134,130,128,128,127,128,131,131,129,128,130,131,131,131,130,132,135,135,133,132,132,133,134,134,136,137,138,140,140,138,137,137,136,136,135,133,130,130,130,131,132,131,131,133,135,136,137,137,138,138,137,136,137,138,140,142,142,141,141,140,139,139,140,139,138,138,141,142,142,140,139,139,139,139,139,139,139,142,143,143,142,143,144,144,142,140,141,141,141,140,140,140,138,138,140,143,143,142,143,142,137,135,139,141,142,140,140,142,143,143,142,144,145,144,141,140,142,141,137,135,136,139,141,143,144,145,144,145,146,146,145,145,145,146,147,147,145,143,141,139,138,138,138,139,140,139,139,141,145,147,146,143,142,143,146,147,146,144,144,145,146,147,147,146,147,149,150,149,149,151,155,157,157,154,154,157,159,159,158,154,151,151,155,158,158,156,154,154,153,153,154,155,155,153,152,154,156,157,157,158,158,159,160,161,161,160,158,156,156,156,155,154,154,155,157,160,161,161,162,162,160,159,158,155,153,152,155,157,157,156,154,151,150,152,155,157,157,156,156,156,156,155,157,158,157,157,157,156,156,155,153,152,152,152,152,151,150,151,153,153,152,149,147,147,148,147,147,146,145,145,147,150,152,153,153,154,153,151,150,151,152,153,151,147,145,145,147,148,148,151,153,154,152,151,154,154,150,149,151,152,150,147,146,146,147,148,148,150,152,151,148,147,148,151,153,151,149,148,147,147,150,153,155,155,154,155,158,161,161,161,160,161,161,159,159,162,161,160,158,157,157,156,157,156,157,158,159,158,155,154,153,153,158,159,155,153,158,159,157,155,154,155,158,158,158,157,156,156,157,160,160,159,159,159,160,160,162,165,167,168,165,163,164,163,163,164,166,166,165,165,167,169,170,171,170,168,165,163,162,166,169,168,166,164,161,160,161,164,166,164,163,163,165,166,165,161,157,158,160,161,162,162,162,162,160,156,153,152,152,151,152,154,155,156,156,156,156,160,160,158,159,161,163,162,160,158,155,152,151,150,150,152,155,155,155,154,153,150,147,144,142,140,141,144,146,148,148,149,148,145,144,145,148,150,149,null],[122,120,119,117,118,119,119,119,119,118,117,115,114,115,121,127,131,128,123,123,126,125,125,128,130,132,132,133,132,128,125,126,129,134,135,135,133,130,130,130,128,127,130,132,130,129,129,130,130,130,129,131,135,135,132,132,132,131,131,131,133,134,136,139,141,140,141,140,138,136,135,135,133,131,131,132,133,133,134,135,135,135,135,136,137,139,140,138,137,138,139,140,140,141,142,142,141,141,141,140,139,139,141,141,140,138,139,139,139,139,138,139,141,143,144,144,144,145,145,144,142,141,141,141,140,140,141,141,139,139,140,142,143,142,143,143,140,138,138,140,142,142,142,142,144,144,143,145,146,145,142,139,139,138,136,135,137,139,141,142,144,144,142,142,143,144,144,145,145,145,145,146,145,141,138,139,142,143,142,141,141,140,141,143,147,149,148,146,145,145,147,147,148,149,149,148,148,149,149,147,148,150,151,149,149,151,153,154,154,153,155,158,159,158,157,154,151,151,154,158,157,155,153,152,152,152,153,154,154,153,152,153,154,156,158,159,158,157,159,161,162,161,159,156,154,153,152,153,156,157,158,159,160,161,161,161,161,160,158,154,152,152,152,153,154,154,152,150,149,152,154,156,156,155,154,155,156,156,157,159,157,156,157,158,157,154,153,153,153,152,150,150,150,151,152,152,151,151,151,151,150,149,148,146,145,145,147,151,152,151,151,154,154,152,150,150,152,152,149,146,144,145,146,148,150,153,156,156,153,152,153,153,150,149,149,150,148,145,145,147,150,150,149,150,152,150,148,146,148,148,148,149,150,151,151,151,151,154,157,156,154,156,159,159,157,157,160,161,158,154,154,158,159,157,154,155,157,157,158,157,156,156,157,157,155,154,153,154,157,157,153,152,156,156,155,153,154,156,158,158,156,155,155,156,156,157,157,158,162,163,163,161,161,164,168,169,168,168,167,164,162,163,167,169,166,163,164,167,172,174,173,170,166,163,161,165,169,169,166,164,163,164,165,168,168,167,164,162,163,164,161,157,157,161,165,164,163,163,162,161,158,158,158,157,155,152,149,150,154,155,154,154,157,161,159,155,155,158,162,159,157,158,157,154,153,151,149,150,153,153,153,155,155,153,149,146,145,143,142,143,145,147,148,148,147,144,144,146,147,147,147,null],[122,121,119,118,116,117,117,117,119,121,122,118,114,115,122,129,130,127,125,126,128,128,127,127,128,131,134,135,132,129,128,128,127,129,133,134,132,130,130,130,128,126,128,131,131,129,128,130,130,128,128,130,133,133,131,131,131,130,130,130,132,133,135,138,141,141,141,141,139,136,135,136,135,133,133,134,134,134,135,136,136,133,133,134,136,139,141,139,137,138,140,139,139,140,142,142,143,145,144,141,140,141,142,141,139,140,141,140,139,139,139,140,143,144,144,144,146,147,146,143,141,141,141,141,141,142,141,140,140,141,141,141,141,142,143,144,143,140,138,139,141,142,141,140,142,145,146,146,145,144,142,140,138,138,137,137,138,138,138,139,141,141,139,138,140,141,143,145,145,144,144,144,143,139,138,143,148,150,148,145,143,143,144,146,148,149,149,149,148,149,149,148,149,152,152,151,151,152,151,148,148,150,151,150,150,152,153,152,152,154,157,158,158,157,155,153,152,152,154,154,154,152,152,152,152,151,151,152,153,154,154,153,154,155,158,160,160,159,158,159,160,161,160,157,154,152,152,155,158,158,157,158,159,160,160,160,161,160,158,155,154,155,153,151,151,152,151,149,149,152,154,156,155,153,152,154,156,156,157,157,157,156,155,156,155,153,151,153,154,152,150,150,151,152,151,150,151,153,155,155,152,150,148,146,144,145,148,150,150,149,150,153,153,152,150,151,152,151,149,146,145,146,148,150,152,154,156,154,152,151,152,151,149,149,149,147,144,143,144,147,150,150,150,151,151,149,147,147,147,148,148,150,153,155,154,152,151,154,158,156,154,156,158,157,155,156,158,158,154,151,151,154,155,155,155,157,158,158,158,158,155,153,153,155,155,153,152,154,155,155,153,152,153,153,153,153,154,155,155,155,155,156,158,158,157,158,157,159,163,164,164,165,164,165,167,169,170,171,170,168,165,164,167,169,167,164,165,168,172,174,174,172,167,163,162,165,167,167,166,166,166,168,169,168,169,169,168,164,162,160,157,156,159,165,167,164,164,164,163,160,158,160,162,160,156,152,149,149,152,152,151,152,156,160,159,154,153,154,158,156,155,156,156,155,154,152,151,150,149,149,151,155,157,155,151,150,150,148,145,143,144,146,149,149,147,144,143,145,146,146,146,null],[121,120,121,119,117,116,114,115,118,123,126,122,117,117,123,129,127,126,127,127,129,131,130,127,126,128,131,133,132,131,132,132,128,127,132,136,135,132,129,128,126,125,127,130,130,128,127,129,129,128,129,131,133,133,131,132,132,132,132,133,134,136,136,138,139,140,140,139,139,137,136,136,136,134,134,135,134,134,134,137,138,136,134,134,136,138,138,136,136,139,141,140,140,141,142,143,145,147,145,142,141,143,145,142,141,143,144,141,140,140,142,143,143,144,144,143,144,146,146,143,141,140,141,143,144,143,141,140,142,144,143,141,140,141,142,143,143,142,140,139,139,139,139,139,141,144,147,146,143,141,140,140,140,139,140,141,140,137,136,137,137,137,136,135,137,140,143,145,144,142,143,143,141,139,141,147,151,152,149,147,145,144,145,146,147,146,147,148,149,151,152,150,150,150,150,151,153,154,152,149,149,151,151,150,153,155,155,153,153,154,157,158,158,156,154,152,152,153,153,152,152,153,154,154,152,150,148,150,153,155,155,155,156,156,158,160,161,161,159,157,157,160,160,157,154,154,155,157,159,157,156,157,159,159,158,159,161,162,160,158,157,157,155,152,151,151,150,149,150,152,154,154,153,151,152,154,155,154,155,156,157,156,154,153,152,151,150,151,152,152,151,151,152,152,150,149,151,154,156,155,153,151,148,146,145,145,147,148,149,149,150,150,150,150,150,151,152,151,149,147,147,148,150,152,153,154,154,151,149,149,150,149,147,147,147,144,141,142,144,146,147,149,150,150,149,148,148,148,149,151,152,153,154,155,153,151,151,154,155,153,152,154,155,155,156,156,154,153,153,153,153,153,154,155,159,161,159,156,155,157,154,150,150,153,156,153,151,153,154,154,154,153,153,153,153,154,154,153,153,153,155,158,159,160,160,161,160,160,160,161,164,168,170,169,169,170,171,172,171,171,169,167,167,169,169,168,169,170,170,171,173,173,168,164,163,163,164,164,166,168,168,168,168,167,168,170,171,168,162,158,157,160,163,166,166,162,162,164,163,159,158,159,161,159,156,152,151,151,151,150,149,149,152,156,158,156,152,152,155,155,154,153,155,156,154,153,153,150,147,148,152,156,157,154,152,153,154,152,147,144,144,146,148,151,150,146,143,144,145,145,147,null],[119,120,122,121,119,118,116,115,117,122,125,124,122,121,126,129,124,122,127,130,131,133,132,128,127,127,128,131,133,133,133,134,130,128,132,137,137,132,128,128,127,127,128,128,128,127,127,128,128,129,131,133,134,133,132,133,134,135,134,134,136,136,137,137,137,137,139,140,139,138,137,137,136,135,135,136,135,135,134,137,139,139,137,137,138,137,137,135,135,138,141,142,142,143,143,143,144,144,144,144,144,145,145,144,143,145,146,143,142,143,143,143,143,144,144,142,142,144,145,144,142,141,143,144,145,144,142,142,144,145,144,142,140,140,140,140,141,141,140,139,138,138,139,140,141,143,147,147,143,140,140,142,142,141,143,144,141,137,135,135,136,135,134,134,136,139,143,144,142,139,140,141,142,142,145,150,151,148,146,144,144,143,143,144,144,143,145,147,149,150,151,150,148,147,148,150,151,152,151,150,151,153,153,152,154,156,157,156,156,156,157,158,158,156,153,151,150,152,154,153,154,154,154,154,154,152,151,151,153,155,156,157,158,158,158,159,159,159,156,155,157,160,160,157,156,157,159,159,157,155,155,157,158,158,157,158,161,161,160,160,158,157,156,155,153,152,151,149,150,152,153,153,152,152,152,153,153,153,154,155,156,156,154,152,151,150,150,150,149,149,151,152,154,153,150,148,151,154,155,153,151,151,150,148,147,147,147,148,149,150,150,149,149,149,150,152,152,150,147,148,149,150,150,150,151,153,153,151,148,147,148,147,145,144,144,143,142,144,145,145,147,149,151,150,148,148,149,150,152,153,153,152,150,150,151,152,153,153,151,149,149,150,152,154,156,155,152,151,154,157,157,155,156,158,161,162,159,154,153,154,152,149,148,152,155,153,150,151,153,153,154,155,155,153,153,154,156,155,152,152,155,159,160,160,162,164,163,161,161,161,165,169,171,170,170,169,168,168,169,172,173,170,170,171,173,173,172,171,171,170,171,172,169,165,163,161,160,162,165,167,168,168,168,167,167,170,171,168,162,159,160,163,165,166,164,162,161,161,160,157,156,156,158,158,157,156,155,155,156,154,150,149,149,153,156,156,152,151,153,153,152,152,155,157,153,150,151,149,147,149,153,155,152,150,152,153,153,151,148,146,144,144,146,151,153,148,143,143,145,146,147,null],[121,122,124,122,120,120,119,119,119,120,122,124,125,125,128,128,123,122,128,133,133,133,131,129,129,129,127,129,133,133,133,133,131,130,132,135,136,131,129,131,131,130,127,127,128,129,129,129,129,129,131,133,133,132,132,134,135,135,134,134,135,135,135,135,136,136,138,140,139,139,138,138,137,137,137,137,137,136,136,137,139,139,140,140,139,138,137,136,136,137,140,142,144,144,144,142,141,141,143,145,144,144,144,144,144,146,146,144,143,143,142,141,141,143,142,140,140,143,145,145,144,143,144,145,145,143,142,142,144,144,142,142,141,140,138,138,139,140,140,140,138,137,140,143,143,144,146,147,144,142,141,144,143,143,144,144,142,139,138,137,137,136,134,134,137,139,141,142,140,138,139,141,142,145,147,148,146,142,139,139,141,141,141,142,142,141,144,146,147,147,148,147,147,147,148,149,150,151,151,151,153,155,156,155,155,156,157,158,159,158,158,158,157,156,154,150,148,150,153,155,155,155,155,155,155,156,156,154,154,155,156,158,159,157,156,157,157,155,153,154,159,162,162,158,156,157,159,158,155,153,154,157,157,155,156,158,160,159,157,158,157,155,155,156,156,155,151,149,149,151,152,152,152,152,151,152,153,154,155,156,155,156,155,154,152,151,151,149,147,146,148,152,154,152,148,148,151,154,153,151,150,152,151,148,147,149,150,150,151,151,150,149,149,149,151,152,151,147,146,148,150,151,149,148,149,151,153,153,150,147,146,145,143,142,143,143,145,146,145,146,149,151,150,149,149,149,150,152,152,151,150,149,148,148,152,155,154,151,148,148,149,149,150,153,154,153,151,153,157,160,159,157,157,159,160,160,159,153,151,151,150,148,148,151,154,153,152,152,153,153,155,156,156,154,154,155,158,159,155,152,153,156,158,158,161,164,163,161,163,164,166,168,168,168,167,166,163,163,168,172,173,173,173,174,175,176,173,173,172,171,169,169,168,166,164,160,159,161,164,165,167,168,169,167,165,168,169,165,161,160,162,163,163,164,164,163,161,159,158,157,155,154,155,157,160,161,157,156,160,159,154,149,149,152,155,155,152,152,153,150,149,153,157,157,151,147,147,147,148,152,153,151,148,147,150,151,150,150,150,149,145,143,144,149,152,149,145,144,145,145,145,null],[124,125,125,121,119,120,123,125,124,122,122,123,125,126,127,128,127,127,130,131,131,131,132,132,131,130,128,129,132,133,135,135,132,130,131,134,134,131,130,134,134,131,127,126,128,131,132,131,129,128,129,130,131,132,132,134,134,133,133,133,133,133,133,135,137,138,138,138,138,139,139,138,138,139,138,137,137,138,139,138,138,139,140,140,139,139,139,139,139,139,140,142,143,143,141,139,139,141,144,144,143,141,141,142,143,143,143,142,142,142,140,139,140,141,139,138,139,141,144,145,145,144,144,145,146,144,143,142,142,143,144,143,142,140,138,138,139,139,140,139,137,136,139,143,145,144,144,145,145,142,142,144,145,144,144,143,142,142,141,139,137,137,136,136,137,138,140,140,140,140,140,141,143,144,144,142,139,137,135,136,139,140,139,140,140,141,144,145,144,144,145,145,146,148,149,150,152,154,153,153,153,155,156,157,158,157,156,158,160,160,158,157,156,156,156,152,149,149,151,153,155,155,156,156,156,158,159,157,156,156,157,158,157,155,153,155,156,155,152,154,160,163,162,159,156,157,157,156,155,154,154,154,153,152,154,157,158,157,155,155,156,155,155,155,156,155,152,150,148,150,152,153,152,150,149,151,155,158,158,157,156,156,156,155,155,154,151,149,148,147,146,150,152,149,147,147,150,152,153,150,149,151,150,146,145,147,150,152,152,151,150,149,149,151,152,151,148,145,144,147,149,150,148,147,149,151,153,154,152,148,145,143,143,143,144,146,148,148,146,147,150,150,148,148,149,149,150,151,150,148,147,149,151,154,156,154,149,146,148,150,151,150,150,151,152,153,153,156,159,158,157,156,156,156,157,158,157,152,148,148,147,147,149,152,153,154,155,156,155,154,155,156,156,156,157,157,159,161,159,155,152,152,155,157,160,162,159,159,164,165,165,166,166,166,165,163,161,162,168,170,172,174,174,174,176,177,174,172,170,169,167,164,165,166,166,162,159,161,162,163,164,166,167,166,164,165,166,166,163,160,160,161,160,161,163,162,161,160,159,159,158,154,153,155,160,161,156,152,156,158,154,150,149,152,153,153,154,154,153,149,149,154,157,155,150,147,146,146,149,153,154,151,148,147,149,150,150,150,152,152,149,144,144,146,148,148,146,144,144,144,142,null],[126,125,124,121,120,120,125,128,127,126,127,125,123,124,126,129,131,131,128,129,131,132,133,133,132,131,131,131,132,133,136,137,133,130,132,134,133,131,131,133,133,131,128,127,127,131,133,132,130,128,127,129,130,132,133,133,132,132,132,132,132,131,132,134,137,138,137,135,137,139,139,138,138,138,138,138,138,140,141,138,137,138,140,140,139,139,141,142,142,142,142,142,142,142,139,137,138,141,142,142,141,140,141,142,142,142,141,139,140,141,140,139,140,140,139,138,138,142,143,145,145,144,144,146,146,145,144,143,142,143,146,146,143,141,141,141,139,140,141,140,138,137,138,142,144,145,144,146,146,143,142,145,145,144,143,144,144,144,142,140,138,138,139,138,136,137,138,139,140,141,141,141,142,140,139,137,137,138,138,139,141,141,140,139,139,141,143,143,142,143,144,144,145,147,147,149,152,154,153,152,153,154,156,159,160,158,156,158,159,158,157,157,156,155,156,155,151,149,150,153,154,154,155,156,157,159,160,159,157,156,156,157,156,153,152,154,156,155,153,155,160,163,162,159,156,156,157,156,155,154,153,152,152,152,154,156,158,158,156,154,155,155,155,154,154,154,153,152,149,149,151,152,150,147,148,152,156,158,159,158,157,156,155,155,156,155,153,151,150,148,147,148,149,147,146,148,149,150,150,149,148,149,148,145,144,146,149,151,151,149,147,148,150,152,151,148,144,143,144,146,149,150,150,150,151,152,152,152,152,149,145,143,144,144,145,147,148,149,148,150,151,150,147,146,146,146,148,149,148,147,147,150,153,156,154,150,144,145,150,152,152,152,152,152,153,154,155,157,157,155,155,156,155,154,154,154,154,151,147,146,146,150,153,155,155,156,157,158,158,158,158,158,157,159,160,159,160,161,160,157,154,153,154,156,157,157,157,159,163,163,162,163,163,162,162,162,161,162,166,168,171,174,173,172,175,178,177,171,166,165,163,160,161,164,166,165,162,160,160,162,164,166,166,165,163,162,163,166,166,162,160,159,158,160,162,161,160,159,157,158,158,156,152,152,155,157,152,149,151,152,150,149,149,149,150,151,153,153,151,148,150,154,156,153,151,149,147,147,149,153,153,152,151,150,149,149,151,151,152,152,149,145,145,145,146,147,147,145,144,143,141,null],[125,123,122,123,122,122,125,127,127,129,131,127,122,122,126,130,133,131,127,129,133,134,134,133,133,133,134,135,134,134,135,135,133,131,133,133,132,132,131,130,130,130,129,127,126,128,131,131,130,128,128,130,132,133,132,132,132,132,131,131,131,131,132,132,135,136,135,134,137,139,139,138,137,136,137,137,140,141,139,136,136,139,141,140,140,141,142,142,142,143,143,141,141,140,138,137,137,139,140,140,140,140,142,143,142,142,140,138,139,142,142,141,141,141,141,140,141,143,143,144,144,144,144,146,146,145,146,146,145,146,148,147,144,143,143,142,139,139,141,142,141,141,140,141,143,145,146,147,148,145,144,146,145,143,144,146,146,144,141,139,139,140,141,140,137,137,138,138,139,140,141,141,139,137,136,137,140,143,145,145,144,143,142,139,139,140,142,143,144,143,143,144,144,145,146,147,149,149,150,150,151,153,157,160,160,158,157,158,158,156,156,157,156,155,155,154,152,150,151,154,154,152,153,155,158,160,159,158,155,154,154,155,155,153,153,155,156,154,153,155,160,161,160,158,157,157,158,157,155,153,152,153,153,153,154,156,159,159,158,155,154,153,153,153,154,154,154,154,151,148,150,151,149,147,149,152,155,156,157,157,156,155,154,155,156,155,154,153,151,150,149,148,147,145,146,149,150,148,147,147,148,148,147,145,145,146,148,150,150,146,144,148,152,152,149,145,143,142,144,147,150,151,152,153,153,151,149,149,151,150,147,144,144,145,146,146,147,149,151,153,152,150,146,144,143,143,145,147,147,148,147,148,150,151,149,146,144,147,152,153,152,152,153,153,155,156,156,155,153,154,155,156,157,155,153,151,150,150,149,148,149,153,157,158,157,156,156,157,159,161,161,160,159,160,162,162,162,161,160,158,158,158,157,156,154,154,157,160,160,160,159,160,160,160,162,163,163,163,164,168,171,172,171,171,175,179,178,171,164,162,161,160,160,161,164,164,162,159,159,162,165,166,166,165,165,161,160,163,167,166,162,159,159,161,162,162,159,155,153,154,156,155,153,152,152,152,150,150,150,149,148,149,149,148,147,148,151,150,147,147,150,154,154,152,153,152,148,147,149,151,151,151,152,152,149,148,150,151,151,149,147,144,145,146,147,148,148,146,145,143,143,null],[125,122,122,123,123,121,124,128,128,129,130,127,123,124,127,129,131,131,129,132,135,135,133,133,135,136,135,135,136,137,136,133,131,132,132,132,131,133,133,131,130,129,128,128,128,128,130,132,131,128,127,129,132,131,129,130,132,133,133,133,133,133,133,134,135,134,134,136,139,141,139,138,137,137,137,138,141,141,138,137,137,139,139,139,140,142,143,143,143,143,142,140,139,139,137,136,137,139,141,140,140,141,141,142,142,141,139,137,139,143,143,142,142,142,143,144,144,143,143,142,143,143,143,144,144,146,148,149,150,149,147,144,143,143,143,141,138,137,140,143,144,143,141,141,142,144,146,148,149,148,147,146,145,144,144,147,146,143,139,139,140,142,143,142,140,139,138,137,138,140,141,140,138,137,137,140,143,147,150,150,147,145,143,141,140,141,143,145,146,145,143,143,144,145,146,146,146,148,149,149,149,152,158,160,158,156,157,158,158,156,155,155,156,156,154,152,150,149,150,152,152,152,153,155,158,159,158,155,153,152,152,154,154,153,153,155,154,152,154,157,159,158,158,158,158,158,157,156,155,152,151,152,153,154,155,157,159,158,156,155,154,152,151,152,153,152,153,154,153,149,149,148,147,148,151,153,153,153,155,155,154,153,154,155,154,152,152,154,154,153,152,149,146,145,146,150,150,148,145,146,147,147,147,147,147,148,150,151,148,144,144,148,152,151,147,143,143,143,145,148,150,151,152,153,152,148,145,146,148,149,146,144,144,145,146,146,147,149,152,153,152,148,144,142,141,144,145,145,147,147,147,145,145,145,146,147,148,151,153,154,152,151,151,153,155,156,156,153,152,153,154,154,157,157,154,150,149,150,152,153,154,156,157,157,156,155,153,153,155,159,161,160,158,159,162,162,162,162,160,160,161,162,159,155,153,154,157,159,159,159,160,160,160,162,164,166,168,167,166,169,171,169,170,174,176,177,174,170,164,163,163,163,162,161,160,160,160,159,160,164,165,164,165,166,166,163,160,160,163,164,161,159,160,163,164,161,158,155,153,154,156,155,154,155,153,152,152,154,153,152,152,153,152,150,149,148,149,148,146,146,150,153,152,151,155,155,149,147,148,148,148,148,149,149,148,148,149,151,151,149,147,145,144,146,148,148,147,145,144,144,144,null],[125,123,122,123,122,120,123,127,129,129,128,126,125,127,129,129,130,132,133,135,134,132,131,133,136,137,134,134,136,138,137,132,132,133,133,132,132,135,136,134,131,130,128,128,129,130,131,133,132,128,127,128,130,129,127,129,133,134,134,134,134,134,136,138,138,135,135,137,141,141,139,138,140,139,139,138,141,141,139,139,140,138,138,139,141,143,143,143,142,141,140,138,138,138,136,136,138,140,141,140,140,141,140,139,140,140,138,137,140,143,144,143,142,142,143,145,145,144,143,142,142,143,143,143,144,146,148,150,152,149,145,142,142,143,143,140,136,136,141,144,144,144,142,141,141,143,146,147,149,150,149,147,146,144,144,145,144,142,139,139,141,142,143,143,143,142,138,135,137,141,141,140,139,140,142,144,145,148,150,149,147,145,143,141,141,142,144,146,147,145,143,142,144,146,146,145,146,148,150,149,149,153,157,158,156,155,157,159,160,157,154,153,155,155,153,150,148,148,149,149,151,153,154,154,155,157,156,153,151,150,152,154,154,153,153,154,154,154,156,156,156,155,156,159,159,157,155,155,154,153,151,151,152,153,155,158,160,158,155,155,155,152,150,150,152,151,151,153,154,151,149,148,149,150,151,152,151,152,154,155,153,152,152,154,152,150,150,153,154,153,152,148,145,143,146,150,150,147,145,144,145,146,147,148,148,150,151,150,146,144,145,148,150,148,144,142,143,145,148,150,151,151,152,152,150,145,143,144,146,146,144,143,144,145,146,148,148,149,151,151,150,147,143,140,141,146,146,144,145,147,147,145,144,145,148,151,152,151,153,153,151,148,148,151,154,155,155,153,152,151,152,154,157,158,155,150,148,151,155,157,156,154,152,152,153,152,151,151,152,155,158,158,157,158,159,158,160,162,161,162,164,164,159,157,156,156,157,158,160,162,163,164,164,165,166,168,171,171,171,172,170,166,169,175,174,172,172,171,168,166,166,166,164,161,158,156,158,160,163,165,164,162,163,164,165,164,161,158,159,159,157,157,159,163,164,161,159,158,158,158,159,157,156,158,158,155,156,158,157,155,156,157,157,155,152,150,150,149,148,147,148,151,150,150,155,155,150,148,147,145,145,144,145,145,146,147,149,150,150,149,148,146,144,145,148,148,146,144,143,144,144,null],[126,124,123,123,122,121,122,126,129,130,129,127,128,131,131,130,131,133,134,134,132,129,130,133,135,134,133,133,135,136,136,135,135,136,134,134,135,137,136,134,133,132,129,128,128,130,131,132,132,130,129,129,130,129,129,130,133,134,133,131,132,134,137,138,138,138,137,137,138,138,137,139,142,142,140,138,140,140,140,141,140,138,138,140,143,144,143,142,141,139,138,137,137,136,134,135,138,139,139,138,140,142,139,137,137,138,138,140,141,143,143,143,143,142,142,144,145,144,144,143,142,144,145,144,144,147,148,148,148,146,145,144,144,143,144,141,136,137,143,145,144,145,143,141,141,143,145,146,147,149,150,149,147,145,144,143,142,142,141,141,140,141,141,142,142,141,138,135,137,140,140,139,140,143,146,147,147,148,147,146,146,144,142,141,141,142,143,144,144,144,144,143,145,148,147,146,147,148,150,150,151,152,154,155,154,155,158,160,159,156,153,152,153,153,152,150,149,149,148,150,153,155,153,151,152,154,155,151,149,149,151,152,152,151,152,154,156,157,155,153,153,155,157,159,158,155,153,152,153,153,152,150,151,153,155,158,161,160,157,157,156,153,150,149,151,150,149,152,153,152,150,149,151,151,150,149,150,152,154,155,154,151,150,151,151,150,149,149,150,150,149,146,143,142,145,149,149,147,146,144,144,145,148,150,150,149,150,148,144,143,145,147,146,144,142,142,144,146,150,153,153,152,152,151,147,144,143,143,144,145,143,143,145,146,147,150,151,150,149,149,149,148,144,140,141,146,146,144,144,147,149,148,146,147,150,151,150,150,151,149,146,146,146,149,152,154,154,151,150,151,153,156,158,158,155,150,149,151,156,157,153,149,148,149,150,150,151,151,153,154,156,156,156,157,157,156,157,160,161,163,166,164,160,160,159,157,157,160,165,167,166,166,166,166,166,168,170,172,174,174,169,165,168,172,169,168,172,175,172,168,165,165,165,162,157,156,158,163,165,163,162,162,162,162,161,162,161,158,158,157,155,155,157,161,163,162,162,162,162,161,160,159,159,160,159,158,159,160,158,156,155,157,158,157,154,152,152,151,150,147,146,147,148,149,152,152,149,149,148,145,144,143,144,144,145,145,147,149,149,147,146,146,144,145,148,148,147,145,144,144,144,null],[125,124,125,125,124,123,123,125,129,130,130,130,131,132,131,130,132,134,133,132,130,127,128,131,134,134,134,134,135,136,137,137,137,136,135,136,137,137,135,133,133,132,131,130,130,130,131,131,133,133,130,128,129,131,131,130,131,132,132,130,131,133,135,135,135,137,137,137,137,137,137,139,142,142,140,138,138,140,141,142,141,139,139,142,143,143,143,141,140,139,137,136,136,135,133,135,137,137,136,138,140,140,138,135,135,136,139,141,142,141,140,140,142,143,143,144,144,144,145,145,143,144,145,145,146,148,148,147,146,146,147,147,146,145,146,143,138,139,145,146,145,146,144,142,142,144,146,147,147,148,148,148,148,146,144,142,142,143,143,142,140,139,140,141,142,141,138,136,137,140,139,137,138,142,145,146,148,150,149,146,145,145,143,141,140,141,141,141,141,144,146,146,146,148,149,149,149,149,149,151,152,152,152,152,152,155,158,159,158,157,155,155,154,154,154,152,150,148,148,150,153,154,151,150,152,154,153,150,148,149,150,150,149,150,152,154,156,156,153,152,153,157,159,157,155,154,152,151,151,151,150,150,151,154,156,158,160,160,157,156,156,154,152,150,150,150,149,150,152,152,150,149,151,151,149,150,151,153,154,155,154,151,149,149,150,149,147,146,147,147,146,144,143,142,146,149,148,146,145,145,145,146,150,152,152,149,146,144,143,143,144,144,142,141,143,144,146,149,151,152,152,152,153,150,145,144,144,143,144,146,146,146,146,147,149,153,154,152,149,148,148,148,146,141,141,145,145,144,144,147,150,149,148,147,147,146,146,147,149,146,143,142,145,147,150,151,152,149,148,150,153,156,156,154,152,150,150,152,154,154,150,148,148,150,151,151,151,152,154,154,154,155,157,158,158,157,158,161,162,165,166,165,162,162,161,158,156,159,165,167,166,165,165,164,165,167,168,171,173,173,170,167,166,167,166,168,175,178,175,169,165,162,163,163,160,158,159,162,162,159,160,162,163,161,159,159,159,160,161,160,155,154,156,160,161,162,162,163,164,163,160,160,160,159,158,158,160,161,160,157,154,154,155,155,152,151,151,150,149,146,146,146,147,147,148,148,147,148,148,146,144,144,147,148,146,145,145,148,147,145,144,144,143,144,146,147,146,146,144,143,143,null],[125,125,127,127,126,126,125,126,128,129,130,132,133,132,130,129,132,134,132,130,128,127,127,129,133,135,135,135,136,136,137,137,136,136,136,135,135,134,133,133,131,131,130,131,132,131,130,130,133,135,131,128,128,131,133,131,129,129,131,132,133,133,133,131,132,133,135,137,138,138,138,139,140,141,139,137,137,139,141,141,140,140,141,142,141,142,142,142,140,139,137,135,134,134,135,136,136,135,135,136,138,138,136,135,136,137,138,141,142,141,138,139,142,144,145,145,144,144,145,145,144,143,143,144,147,148,148,147,147,149,149,148,147,148,147,144,140,141,145,147,147,146,144,143,144,145,147,148,147,147,146,147,148,148,146,145,145,144,144,143,141,139,139,141,143,143,140,138,139,139,137,136,137,139,140,142,147,151,152,150,147,146,145,142,142,143,141,139,139,145,149,148,147,147,150,152,151,151,151,152,153,153,151,150,150,152,155,156,157,157,157,158,158,158,157,155,151,148,148,150,152,152,151,151,153,154,152,149,149,149,148,146,147,150,151,152,153,153,152,152,155,159,159,155,153,153,153,151,150,149,150,152,155,156,156,157,158,158,156,154,153,154,154,153,150,148,149,151,152,152,149,148,149,150,150,153,155,155,153,152,152,151,148,147,148,148,146,146,146,146,144,143,143,145,147,147,145,144,145,146,148,149,151,153,152,149,144,141,142,143,143,141,140,142,146,147,148,151,151,149,148,150,152,149,144,144,144,143,144,147,148,148,148,150,153,155,156,155,151,148,147,147,147,144,143,143,143,144,145,147,148,148,147,145,143,141,142,145,148,146,142,142,144,147,147,148,150,149,148,150,153,153,151,149,149,150,152,152,151,151,150,150,150,153,154,154,152,151,153,154,154,156,159,160,160,161,162,163,163,164,165,165,164,164,161,158,156,158,162,164,163,162,163,165,165,166,168,169,168,171,171,168,166,166,166,170,177,179,175,169,164,161,161,162,162,160,157,157,156,156,158,160,161,162,161,157,157,160,163,163,156,154,158,160,160,160,160,161,163,163,160,159,159,158,157,156,158,160,162,159,154,152,151,151,150,149,149,148,147,147,148,149,147,145,145,146,146,147,147,146,145,146,150,151,148,145,144,147,147,144,142,142,142,143,144,144,144,145,144,142,141,null],[129,127,126,127,127,126,126,126,127,128,129,132,133,131,129,130,133,134,131,128,127,128,130,130,133,133,133,135,137,135,135,136,137,137,136,134,132,132,134,133,131,129,128,131,134,132,129,131,133,134,131,129,129,130,133,133,130,129,131,134,134,133,133,133,133,134,135,138,138,138,138,138,138,139,138,136,137,140,140,140,139,140,141,142,141,141,141,140,138,138,137,135,135,136,138,138,136,135,135,135,136,136,137,137,138,138,138,140,142,142,141,140,141,142,144,144,144,144,142,142,143,142,141,143,145,146,147,147,148,150,150,149,148,149,147,143,142,141,142,145,146,146,144,144,145,147,148,147,145,144,144,145,147,148,148,148,147,145,145,144,142,139,138,140,142,143,142,140,139,138,137,138,138,138,139,141,144,149,151,152,151,149,145,143,143,145,143,141,140,146,151,150,147,147,150,153,153,153,154,154,153,152,152,152,151,150,151,153,155,155,156,158,159,159,159,155,151,150,151,152,152,151,153,153,153,152,150,148,148,147,146,146,148,152,152,152,152,153,153,154,155,157,156,153,153,154,153,151,150,151,153,156,158,157,156,156,157,158,157,153,151,152,154,153,150,148,149,151,151,149,147,147,149,151,152,155,156,155,151,149,149,148,146,145,146,148,147,146,146,146,144,142,143,144,145,144,143,143,145,148,151,150,150,150,151,149,144,141,142,143,143,142,142,144,147,149,150,153,151,147,145,146,149,148,145,143,143,143,145,147,147,149,152,155,155,155,155,155,152,149,146,146,147,146,144,143,142,143,144,146,146,146,146,144,143,142,143,146,148,146,144,145,147,148,147,148,150,150,149,150,151,151,149,147,148,149,151,151,151,151,151,150,150,154,158,157,153,151,151,153,155,157,160,161,162,162,161,161,160,161,163,165,165,162,158,157,158,160,161,161,162,163,165,166,167,167,169,168,165,169,170,167,166,168,169,172,176,177,173,167,163,162,162,161,162,160,157,154,154,155,155,155,156,160,162,156,154,159,162,160,155,155,160,162,160,157,156,158,161,161,159,159,160,160,158,154,154,157,160,158,153,151,151,150,150,150,148,148,149,150,152,151,147,144,145,148,148,147,146,146,148,149,150,150,147,145,145,145,145,143,142,142,144,143,143,143,144,143,143,142,142,null],[130,128,126,127,127,126,126,126,127,128,130,131,131,128,129,131,132,132,130,128,129,131,132,132,132,131,131,133,135,134,135,137,137,137,136,134,133,133,135,134,131,128,128,131,134,131,129,132,134,133,132,131,132,132,133,134,133,130,132,135,135,134,134,136,136,136,136,138,138,138,137,136,137,139,138,135,136,139,139,139,138,139,141,142,141,139,139,138,137,138,138,136,136,137,140,139,137,137,136,135,135,138,140,141,140,139,139,141,143,143,143,143,141,141,142,143,143,142,140,140,141,141,141,142,143,144,145,146,147,149,150,149,149,148,146,142,142,142,142,144,146,146,146,147,147,147,148,146,143,141,141,141,141,143,146,148,147,146,146,146,144,141,141,141,141,142,142,140,139,139,139,140,140,140,140,141,143,145,148,152,154,150,145,143,145,146,146,145,145,147,150,150,148,149,151,153,154,154,155,156,155,154,154,156,154,151,149,150,152,154,155,156,157,158,157,154,152,151,152,154,152,151,153,154,153,151,148,147,147,147,148,149,152,154,154,153,154,156,155,154,154,154,154,153,154,155,154,151,150,152,155,157,158,157,156,155,156,158,158,154,151,151,152,151,149,147,148,150,149,146,145,147,151,154,155,155,155,154,150,148,147,146,145,144,145,147,148,146,145,143,143,143,143,144,143,143,144,145,148,150,151,150,147,146,148,148,146,143,144,145,146,145,146,148,148,149,151,152,151,149,145,145,146,147,146,144,142,143,145,145,145,149,155,157,154,153,153,153,151,148,146,146,146,146,145,144,142,142,144,146,146,146,146,145,145,146,146,147,148,146,146,148,149,149,148,149,151,151,151,150,150,150,150,148,149,149,150,151,153,154,151,148,148,153,158,158,155,153,152,152,155,158,160,162,162,160,157,156,157,160,164,167,167,163,158,157,159,162,163,162,161,164,166,166,166,165,167,166,164,166,167,166,166,170,172,173,174,174,170,165,162,162,162,160,159,158,158,158,157,157,154,151,152,157,161,156,153,157,157,155,154,157,162,162,159,154,154,157,158,158,159,159,160,162,159,154,153,154,157,155,152,153,153,151,151,151,150,150,152,153,152,150,147,145,149,152,150,146,144,147,151,152,150,147,146,145,145,145,144,144,144,144,145,145,144,145,145,144,144,143,143,null],[128,127,126,126,126,126,125,126,127,130,130,130,127,127,128,129,129,128,128,130,133,132,131,132,133,134,131,131,132,134,137,139,137,134,135,136,136,135,134,134,131,130,132,134,133,129,129,133,135,134,133,133,134,134,134,134,134,132,134,135,135,135,135,137,137,135,135,137,138,138,136,135,136,138,138,136,135,136,138,139,138,138,140,141,140,137,136,137,138,140,139,136,136,138,139,139,139,139,139,137,137,140,143,143,141,140,141,142,143,143,143,142,140,140,141,141,141,141,139,139,141,141,140,141,143,144,145,145,145,147,150,150,149,146,145,143,143,143,145,145,145,146,148,148,147,148,149,146,142,140,139,137,133,134,139,144,146,146,145,146,146,146,145,143,142,142,141,140,140,142,142,142,141,142,142,142,142,143,146,151,153,149,144,145,146,147,147,148,149,150,150,149,150,151,152,153,154,154,155,157,157,156,156,157,155,151,149,149,151,154,155,155,156,156,154,154,153,151,152,153,151,149,151,154,153,149,146,147,148,150,152,155,156,155,155,155,156,157,155,153,152,153,153,153,154,154,154,152,150,151,153,155,156,155,155,154,154,156,157,155,152,150,149,149,148,147,147,148,147,145,145,149,153,155,155,154,153,154,152,150,147,146,145,143,143,145,146,144,142,142,144,145,145,145,145,146,148,150,151,152,150,148,145,144,145,145,145,145,147,149,149,148,149,151,151,150,150,149,150,151,148,146,145,146,146,144,143,142,143,144,145,149,155,155,152,151,153,153,149,145,145,145,145,146,146,146,144,144,145,146,146,146,146,147,148,148,148,148,148,147,147,148,149,149,148,148,150,151,150,150,151,151,151,150,151,151,150,152,155,155,152,148,148,152,157,157,156,156,154,152,154,157,159,161,160,157,154,154,158,162,166,167,167,165,162,159,159,161,163,162,160,162,164,164,163,162,163,164,165,165,165,165,166,169,172,172,172,170,167,163,161,161,161,160,157,157,161,162,162,160,156,152,150,154,158,155,154,155,154,153,154,157,160,160,156,154,155,157,156,156,157,158,160,161,159,156,155,155,155,154,154,155,155,153,153,152,152,153,154,153,150,149,147,147,152,154,149,145,145,149,153,153,150,148,148,147,146,146,146,147,147,147,147,147,147,148,148,146,145,145,145,null],[124,126,127,125,124,126,125,125,126,129,130,128,126,127,129,129,126,126,127,130,131,131,129,131,135,136,134,131,131,133,137,137,133,131,134,138,138,135,133,132,132,132,135,135,132,130,131,133,135,135,134,134,136,136,136,134,134,134,135,135,136,136,136,137,135,133,133,135,137,138,137,135,135,137,138,138,136,136,137,139,139,138,138,140,140,136,134,136,140,141,138,135,137,139,138,138,139,141,141,141,140,140,142,142,140,140,141,142,142,142,142,141,140,140,141,141,140,139,139,140,140,141,140,140,143,146,145,144,145,147,150,151,149,146,145,145,146,147,148,146,144,145,148,148,148,147,146,144,141,141,141,139,134,132,135,140,144,145,145,145,146,148,148,147,145,145,144,142,142,144,145,144,142,142,143,142,142,143,145,149,151,149,146,146,147,148,148,148,150,150,149,149,149,151,152,154,156,157,156,158,158,156,156,157,154,151,149,148,151,153,154,154,155,155,153,152,152,150,150,151,150,148,149,151,150,148,147,149,150,152,155,157,157,156,155,156,155,154,153,152,152,152,152,152,152,152,152,152,151,151,153,154,154,153,154,154,153,154,155,155,154,151,149,147,147,146,147,149,150,148,148,150,152,154,153,152,152,153,152,150,148,148,147,144,142,143,144,143,141,142,145,146,146,146,147,149,151,153,153,154,151,147,144,143,142,142,143,145,147,149,150,149,150,152,153,151,148,147,148,150,150,148,146,144,144,143,142,143,144,146,147,150,153,152,150,153,155,153,147,144,143,145,145,145,145,144,145,145,145,146,148,147,147,148,148,148,147,149,149,149,147,146,147,148,148,147,148,148,148,150,152,153,151,150,151,151,150,153,156,156,155,152,151,153,157,158,158,159,156,153,152,155,157,158,156,154,154,156,159,163,165,165,165,165,165,163,160,160,161,160,159,160,161,161,162,162,163,165,166,166,165,165,165,166,169,171,170,166,164,163,161,159,160,160,158,159,163,163,163,161,158,154,151,151,154,154,155,155,153,152,152,155,156,156,153,153,155,156,155,153,154,156,159,160,159,157,158,158,157,157,156,155,156,156,155,154,153,153,153,151,150,151,152,152,154,154,151,148,149,151,152,151,151,151,151,150,147,148,149,150,149,149,150,149,148,148,148,146,145,146,148,null],[122,124,126,125,124,125,125,124,125,127,127,125,125,129,130,129,126,126,128,128,129,129,129,131,135,137,137,135,133,133,133,133,131,131,135,137,137,134,133,133,133,134,136,134,131,132,133,132,132,134,135,135,136,136,136,135,135,135,136,136,137,136,137,137,135,132,131,134,136,139,138,135,134,135,137,138,138,137,137,137,137,137,137,138,139,136,134,137,141,141,137,134,138,141,140,138,139,141,142,143,141,140,141,141,140,140,140,141,141,141,139,138,139,140,140,140,139,138,140,141,142,141,140,139,142,147,146,145,146,148,150,150,149,148,147,147,148,149,148,146,144,145,146,146,146,145,143,142,142,144,146,145,142,138,137,140,143,145,145,145,147,149,150,148,148,149,149,146,145,145,146,146,145,144,143,141,141,143,146,148,149,150,148,146,147,148,148,148,149,149,148,149,149,149,151,155,157,158,157,158,157,155,155,156,155,152,150,148,149,151,152,152,154,153,151,151,151,149,149,151,150,149,150,150,149,148,149,151,152,153,156,157,157,155,155,155,154,152,151,151,151,151,150,150,149,150,151,152,153,153,153,155,154,153,153,153,153,153,154,154,153,152,149,147,146,145,147,152,155,153,151,151,151,152,152,151,151,151,150,149,148,149,148,145,142,143,143,142,141,143,145,145,145,146,149,151,151,151,153,154,152,148,144,143,142,142,143,144,145,147,147,147,149,152,152,151,149,147,146,147,149,150,147,144,142,141,142,145,147,148,150,151,150,148,150,154,155,152,148,144,143,144,145,143,142,142,144,144,144,147,151,150,148,148,147,147,148,151,152,149,146,144,146,149,148,148,148,147,147,150,151,151,151,150,149,150,152,154,156,157,157,157,155,155,156,158,160,159,156,153,153,155,157,156,154,153,154,158,159,160,161,161,161,164,167,167,162,159,159,159,158,159,160,162,164,165,166,167,168,169,168,166,165,166,168,169,169,165,164,164,161,158,158,160,161,162,162,162,162,160,158,156,152,151,153,155,157,158,156,153,153,153,153,153,152,152,153,153,153,152,153,155,157,158,157,157,160,162,160,158,157,153,154,158,157,154,153,153,152,152,152,155,156,155,153,153,153,154,153,151,149,149,151,151,151,150,150,150,151,151,151,152,151,149,147,146,146,145,145,146,148,null],[122,123,125,125,124,124,123,124,126,125,124,123,125,129,131,131,128,127,129,129,130,131,132,133,135,137,137,137,137,133,132,133,133,134,136,137,137,136,134,134,135,135,135,133,133,136,135,132,130,133,135,136,136,135,135,135,135,136,137,137,136,135,136,137,136,133,131,133,136,139,138,136,134,134,136,137,137,137,136,135,135,137,138,137,136,135,135,139,142,141,136,134,138,142,142,140,139,140,141,142,140,139,141,141,141,141,141,140,140,139,137,137,138,139,139,138,139,140,142,144,145,143,141,141,143,146,146,147,148,149,149,149,149,149,149,149,148,148,147,146,145,145,144,143,141,141,142,142,143,145,146,147,147,145,143,143,144,147,147,146,147,149,149,149,149,150,150,148,147,147,147,148,149,148,144,141,141,145,147,148,149,150,149,147,147,148,148,148,148,148,150,151,151,151,153,156,156,155,155,156,156,154,155,156,157,156,153,149,147,147,148,149,150,150,148,150,151,148,148,150,151,151,152,152,151,150,151,152,153,155,157,157,155,154,153,153,153,153,151,149,148,149,149,148,148,148,149,152,154,154,153,154,154,154,153,151,152,153,153,152,151,149,148,148,148,148,149,154,157,157,154,153,152,153,153,152,150,149,150,150,149,148,146,143,142,143,143,140,139,141,143,144,144,146,149,150,149,148,150,152,150,147,144,144,142,142,143,143,144,145,145,145,148,150,151,152,150,147,145,145,148,150,149,146,144,143,144,147,148,149,151,151,148,146,148,152,153,151,148,145,143,142,142,140,140,141,143,144,145,149,152,153,151,150,148,148,151,154,152,149,146,145,148,149,148,149,152,151,148,148,148,148,149,150,150,151,155,156,156,157,158,158,157,155,155,156,159,159,155,152,153,156,157,158,157,156,156,156,157,158,159,160,161,164,168,169,164,159,159,159,159,160,162,166,167,167,167,169,172,172,170,168,168,169,169,169,167,165,164,163,160,157,157,160,162,162,161,161,160,158,158,158,156,155,156,158,161,162,159,156,157,155,152,153,153,151,151,151,152,153,155,156,156,154,154,157,161,162,160,156,154,150,151,157,156,153,154,155,154,153,153,155,156,154,152,152,154,156,154,150,147,148,149,149,148,149,151,151,149,149,150,152,151,148,146,146,146,145,145,145,145,null],[123,123,124,125,125,122,122,123,124,123,121,122,125,130,133,133,131,130,130,131,133,134,134,134,134,135,135,137,137,134,133,134,136,137,137,137,137,136,135,135,135,134,133,133,134,135,135,132,131,133,135,135,135,134,133,133,134,136,136,135,134,134,135,136,136,134,132,132,135,137,135,135,134,133,134,135,135,135,135,134,135,138,139,136,134,134,135,138,140,140,137,135,137,140,141,139,138,138,139,139,139,140,141,141,141,141,141,139,138,138,137,137,138,139,139,139,139,141,144,147,147,145,144,144,146,147,147,148,150,150,149,147,147,149,150,149,147,145,144,145,145,145,143,139,138,140,143,145,145,145,145,146,147,147,147,147,147,149,148,146,147,148,148,149,149,149,148,148,148,148,148,148,151,151,147,143,142,146,148,148,148,149,149,149,149,149,150,149,149,151,153,154,153,153,156,158,155,153,153,154,154,153,154,156,156,156,155,150,146,145,146,146,146,147,148,150,151,149,148,149,151,152,152,153,155,154,154,154,154,155,157,156,154,153,151,149,151,152,150,147,147,148,148,148,148,150,151,152,154,155,154,152,153,153,152,150,151,152,153,151,149,147,147,149,151,152,152,154,156,158,157,155,154,155,154,153,150,150,150,151,149,147,145,142,142,145,144,140,138,139,143,145,146,146,148,149,147,146,147,147,147,145,143,142,141,142,143,144,145,145,145,146,148,150,151,152,151,148,146,145,147,150,149,148,146,145,144,146,147,148,151,151,148,145,146,148,149,149,147,145,143,142,141,141,141,142,144,146,148,151,152,153,153,151,149,149,152,154,152,148,146,148,151,152,149,150,155,154,149,148,148,148,150,150,151,153,155,156,158,160,160,159,159,157,156,156,158,158,154,152,154,156,157,159,160,160,157,155,156,157,158,160,162,164,168,169,166,160,160,160,161,164,166,168,167,166,167,171,174,173,171,170,171,172,171,169,166,164,162,160,159,159,159,161,163,163,162,162,160,158,158,160,161,161,161,162,163,163,160,158,158,156,153,154,155,153,153,153,152,153,157,158,156,151,151,155,160,160,159,156,153,149,149,152,152,151,154,156,155,153,152,152,151,149,150,151,152,154,153,148,146,147,148,148,147,148,149,149,148,147,148,150,148,147,146,146,145,145,145,144,142,null],[124,123,123,125,124,122,122,122,122,122,122,124,128,131,133,134,133,132,131,132,134,134,133,132,132,132,132,134,135,134,134,134,136,137,138,138,138,135,134,134,134,133,132,132,132,133,134,134,135,135,135,134,133,133,132,130,132,135,135,133,132,133,134,134,134,135,134,133,134,135,134,134,133,132,133,134,134,134,135,136,137,139,138,135,133,133,132,134,136,137,137,136,137,138,138,138,137,137,137,137,139,141,140,140,140,141,141,139,138,139,139,138,139,140,141,141,140,141,144,148,149,147,146,147,149,148,147,148,151,151,148,146,146,146,148,148,145,143,143,143,144,144,141,138,137,140,144,146,146,145,145,145,145,147,148,148,149,150,148,146,144,146,148,149,148,147,147,147,148,148,148,148,150,150,148,144,143,146,149,149,148,149,150,151,151,151,151,151,152,154,155,155,154,156,158,158,155,154,154,152,151,152,154,155,154,153,153,151,148,146,146,146,145,146,149,150,150,148,148,149,151,151,151,153,155,156,156,155,155,156,156,156,154,152,149,147,149,150,148,146,148,150,150,149,151,153,154,153,154,155,154,152,151,151,150,151,151,151,151,151,149,147,147,149,153,154,154,154,155,156,156,155,155,154,153,152,151,151,151,151,149,148,147,143,143,147,146,142,139,141,145,148,148,147,148,148,147,145,144,144,144,144,142,140,140,143,144,147,148,148,148,149,149,149,150,151,150,149,146,144,147,150,149,147,145,145,144,144,146,147,150,151,148,144,142,144,146,147,145,144,143,143,142,143,144,145,145,147,149,150,151,152,152,152,150,148,150,152,152,148,147,150,154,154,149,149,156,156,151,150,151,152,152,152,153,154,154,154,158,162,162,160,159,159,159,160,159,155,154,154,155,155,156,159,161,162,159,156,157,157,157,159,162,163,166,168,167,163,161,161,163,167,168,168,165,165,168,172,173,173,172,171,172,173,171,168,165,161,159,157,159,162,163,163,164,165,164,163,160,158,159,162,165,165,164,163,162,160,159,157,155,155,156,156,156,156,157,157,153,152,156,157,155,150,149,153,157,158,158,156,155,153,150,148,148,150,154,155,152,151,151,150,147,144,147,148,148,150,151,149,145,144,147,149,149,147,146,147,148,145,145,146,144,145,146,145,143,144,145,144,142,null],[125,124,122,122,122,122,123,123,121,122,123,127,130,132,132,132,133,133,131,131,131,131,130,129,129,130,131,133,135,134,134,134,134,135,137,138,138,135,133,133,132,130,130,130,131,133,135,135,137,137,134,133,133,133,132,130,131,135,135,132,131,132,133,132,134,137,137,135,134,134,133,133,133,133,133,133,133,134,134,136,138,139,138,136,135,133,131,131,133,135,137,138,138,137,137,137,137,137,136,136,137,139,139,139,139,140,141,140,140,140,141,141,140,141,141,142,142,142,144,147,148,148,147,146,148,148,145,145,148,148,146,146,147,146,146,147,145,144,145,145,143,141,139,138,139,142,144,146,145,143,143,145,146,146,147,148,148,149,147,145,145,146,148,148,147,146,146,147,148,147,148,148,147,147,146,143,143,146,149,150,150,151,152,152,152,152,153,153,153,154,155,155,156,157,158,158,157,156,155,151,149,151,154,154,152,151,152,152,150,148,146,146,146,147,147,148,148,148,149,151,152,151,151,153,155,156,156,156,156,156,156,155,154,151,148,148,149,148,146,147,151,153,152,151,154,157,156,154,153,153,152,151,150,149,149,151,153,152,149,148,148,148,147,148,151,153,154,154,154,154,154,154,153,152,151,152,153,153,153,151,148,148,148,145,145,148,148,145,143,144,147,149,149,149,149,149,149,147,144,143,143,143,142,141,144,148,148,149,151,151,150,149,148,148,149,149,148,148,147,145,145,148,147,144,142,143,144,146,147,149,149,148,146,142,139,141,144,145,144,143,143,142,142,144,146,147,146,145,146,147,148,150,152,152,151,150,151,152,151,148,147,151,156,156,150,150,156,157,154,154,154,154,153,154,157,157,154,154,157,161,162,161,160,161,162,162,159,155,156,158,158,156,156,159,162,163,161,159,159,159,157,158,161,163,166,168,168,164,161,161,163,166,168,168,167,167,169,171,172,172,172,172,171,171,170,168,164,160,157,157,159,164,165,165,164,163,162,161,160,160,160,161,164,166,165,163,160,157,156,156,155,158,160,159,156,156,157,157,153,151,153,154,153,150,150,152,154,155,155,153,152,154,153,149,147,148,153,154,150,149,150,150,147,144,144,145,146,148,149,149,146,143,145,149,148,146,144,146,147,144,144,143,140,142,144,143,142,142,143,143,141,null],[124,123,122,121,121,123,124,124,123,123,125,128,130,129,129,130,132,132,130,128,128,129,128,127,129,130,132,133,133,134,134,134,133,133,134,136,136,135,133,132,130,129,128,129,133,135,135,134,135,136,134,132,132,132,131,130,131,134,134,132,131,131,132,133,135,137,137,136,135,134,134,133,133,134,133,133,135,135,135,136,138,137,137,137,136,135,133,134,134,134,136,138,138,136,136,136,137,137,136,135,135,136,137,137,137,138,140,142,142,142,142,142,141,141,142,144,145,145,145,145,146,146,145,145,147,147,144,144,147,147,146,147,148,146,147,147,146,146,147,146,143,139,137,138,140,142,142,144,145,142,143,146,147,147,147,147,147,148,147,147,148,149,149,149,148,147,147,148,147,147,148,148,147,145,144,142,144,147,150,151,150,151,153,154,154,154,154,154,153,152,153,155,157,157,157,157,157,156,153,150,149,151,153,154,153,153,153,153,150,148,147,147,147,145,144,145,147,148,150,153,153,153,153,154,155,156,155,155,155,155,155,156,154,151,148,150,150,148,146,148,153,154,154,154,156,157,155,154,153,151,150,151,151,149,149,151,153,152,148,144,146,149,150,150,149,152,154,154,152,151,150,150,150,150,150,151,152,153,153,151,147,147,147,144,145,147,148,145,144,145,147,148,148,150,151,151,151,149,145,142,142,144,144,145,148,151,150,151,152,152,151,149,147,147,147,147,146,147,147,145,144,146,145,142,140,142,145,148,150,149,147,146,144,140,139,140,143,144,143,142,142,142,142,142,144,146,145,143,143,145,149,150,151,152,152,152,153,151,149,146,146,151,156,157,155,154,157,159,159,157,156,154,154,157,161,160,156,156,157,159,161,162,162,162,163,162,158,156,159,161,159,156,157,159,161,161,162,161,162,161,158,158,160,163,166,168,167,164,162,161,162,164,166,167,168,169,170,170,172,173,173,171,168,166,167,167,163,160,158,159,161,164,166,166,163,161,160,161,161,161,159,159,163,165,165,163,161,158,157,156,158,162,162,160,157,154,154,154,153,151,151,151,151,150,150,151,152,152,151,149,148,151,153,151,146,145,151,152,148,148,150,150,148,145,142,143,145,146,147,147,146,144,144,146,145,144,144,144,144,144,144,142,140,140,142,142,142,141,142,142,143,null],[122,121,122,122,122,124,124,124,124,125,126,127,127,127,128,130,132,132,130,128,127,129,129,128,130,132,133,133,132,133,133,133,133,133,133,134,134,133,132,130,130,131,129,130,135,134,132,132,133,135,135,134,133,131,130,130,132,133,132,131,131,132,133,135,137,137,136,135,134,134,133,133,133,133,133,134,136,136,136,137,138,137,137,137,136,136,137,138,136,134,134,136,135,134,135,136,137,137,136,136,134,134,136,136,134,136,139,141,143,144,144,143,141,141,142,145,147,147,144,143,142,142,143,146,148,147,145,146,148,149,148,148,148,147,147,147,148,147,146,145,143,140,138,139,139,140,141,144,146,144,144,145,146,147,148,148,148,149,150,151,152,151,150,150,150,148,147,146,148,148,148,148,148,146,145,145,147,150,152,152,151,151,154,157,157,156,155,153,152,150,151,155,157,155,155,155,155,152,150,149,149,151,152,153,155,155,155,152,149,147,147,147,146,143,141,145,148,150,151,153,155,155,154,155,157,158,157,154,153,153,154,155,154,151,149,150,149,148,147,150,153,154,154,155,154,153,153,154,154,152,150,151,151,150,149,150,153,151,146,143,145,150,154,152,150,152,155,152,150,150,148,147,147,149,150,150,149,149,150,150,148,146,144,142,143,146,146,143,142,144,146,146,145,147,150,151,151,149,146,142,141,144,147,148,148,147,148,150,152,153,152,150,148,148,147,146,144,145,146,144,144,144,143,142,141,144,147,149,149,147,146,146,144,142,140,140,142,144,143,142,142,144,144,143,143,145,145,144,146,149,151,151,151,153,154,153,151,150,149,147,146,151,156,159,159,159,160,163,163,160,158,158,158,160,163,160,157,160,161,160,161,164,163,164,164,162,159,157,160,161,157,155,157,159,160,160,161,163,163,162,161,160,161,163,165,165,164,164,164,163,162,162,163,163,166,168,168,170,173,173,171,170,165,161,164,165,162,159,159,162,164,165,166,166,163,162,163,164,165,162,158,158,162,165,165,163,163,164,162,160,161,162,162,160,158,154,151,151,153,153,152,151,150,150,149,149,149,150,150,149,147,146,148,149,145,143,148,150,146,146,148,147,145,144,143,143,144,143,143,143,144,144,143,143,143,143,142,142,142,143,143,143,141,140,141,144,144,143,141,142,145,null],[120,119,120,122,123,124,124,125,126,127,127,126,126,127,129,131,133,133,132,128,127,130,131,130,131,132,132,132,132,132,131,131,132,134,135,133,131,130,130,129,131,132,131,131,134,131,128,129,131,133,134,134,132,131,131,131,132,131,129,128,129,131,133,135,136,136,136,135,134,134,134,133,131,130,131,134,135,136,136,137,138,138,138,136,135,136,139,139,136,133,133,134,134,134,134,135,136,137,137,136,135,135,136,135,134,136,138,140,142,143,143,142,140,140,142,145,146,146,143,140,140,140,143,146,147,146,146,147,148,149,150,149,148,147,145,145,148,147,144,141,141,141,142,142,141,141,142,145,146,146,145,145,146,146,147,147,149,151,153,153,153,152,151,151,150,148,146,146,149,150,150,149,148,147,146,147,148,150,152,153,152,152,154,157,157,155,154,152,150,149,150,152,154,154,154,154,153,150,148,149,150,149,149,151,155,156,154,151,149,148,147,146,145,143,143,147,149,150,151,154,155,155,155,156,158,160,158,155,154,153,152,152,152,151,150,148,147,147,148,150,151,150,151,153,152,150,151,154,155,154,151,150,150,149,148,150,152,150,146,144,145,149,154,153,150,151,151,148,147,148,147,145,146,148,150,149,147,146,147,148,148,145,142,140,142,145,144,141,140,142,145,145,145,146,148,149,149,147,144,141,141,143,146,147,145,143,145,148,151,153,152,150,149,149,148,146,145,144,143,143,143,143,142,141,144,146,148,148,146,146,146,145,144,144,142,140,141,143,143,142,142,144,147,146,144,144,144,145,149,152,153,151,152,154,154,151,151,152,153,151,151,154,157,159,161,162,163,165,165,163,162,162,162,163,165,161,158,161,164,163,163,165,165,166,166,163,160,159,160,161,157,156,158,160,161,162,162,163,164,164,163,162,163,164,164,163,163,166,168,165,162,162,163,164,164,165,166,169,171,171,169,167,163,160,162,163,161,159,160,164,167,167,167,166,165,165,166,168,167,163,159,160,163,165,164,161,161,166,167,164,162,161,159,158,156,154,151,151,154,156,154,153,152,151,149,149,149,152,152,150,147,144,144,146,144,142,145,145,144,144,144,143,141,142,144,145,143,141,141,142,145,145,142,140,141,143,143,142,143,145,143,141,140,140,142,145,146,144,143,144,146,null],[120,118,117,119,122,125,125,125,125,127,128,127,127,128,130,131,133,134,133,129,126,129,131,131,131,129,129,130,133,133,130,129,130,134,136,134,130,129,129,129,131,132,131,131,130,128,128,129,131,132,132,132,131,131,131,132,131,129,128,128,129,131,132,134,135,136,135,134,134,135,134,133,130,129,130,133,134,135,135,136,136,138,136,134,134,136,137,137,136,134,134,135,137,137,135,134,135,137,138,136,136,137,137,137,137,139,140,140,141,141,140,140,140,141,142,144,143,143,140,139,139,141,144,146,146,145,145,146,146,148,149,149,148,146,144,144,146,146,142,139,139,143,145,145,144,143,144,145,146,147,147,146,147,147,146,147,149,152,153,153,152,151,150,150,149,148,147,148,149,152,152,150,147,146,146,146,147,148,150,151,153,154,155,155,154,152,152,151,150,149,148,149,152,154,154,154,152,151,150,150,150,148,147,149,153,154,152,151,151,149,147,146,145,145,147,149,150,149,151,153,154,154,155,156,157,158,158,157,156,154,151,151,151,150,149,148,146,146,147,149,148,148,149,151,150,148,149,153,155,154,151,149,147,147,147,149,151,149,147,146,147,149,152,152,150,149,148,147,147,148,147,145,144,146,148,148,146,146,146,147,147,146,143,141,141,142,142,141,140,141,144,146,148,148,147,146,144,143,141,140,140,141,143,144,144,144,145,148,151,153,152,149,147,147,148,147,145,143,141,141,142,143,141,142,146,148,147,146,145,145,145,144,144,144,143,141,140,142,143,143,142,146,150,149,145,143,143,146,149,151,151,152,154,154,152,151,153,157,159,158,158,158,158,157,159,162,165,166,165,165,165,164,163,164,165,163,160,162,164,165,165,165,166,168,168,165,162,161,161,160,158,157,157,159,162,165,164,163,166,166,164,163,165,166,165,164,165,168,169,166,162,162,165,167,166,164,167,169,170,169,167,164,162,161,161,161,159,159,160,164,167,167,168,167,166,166,166,168,167,163,163,163,164,164,163,159,159,163,167,165,160,158,157,154,154,154,153,153,155,157,157,157,155,153,151,152,153,154,154,151,147,145,145,146,145,144,144,142,142,143,143,141,140,142,145,146,144,141,141,144,145,143,141,141,142,145,146,146,147,147,144,140,139,140,141,145,147,146,146,146,145,null],[123,121,117,118,121,124,124,123,123,124,126,126,126,126,127,130,132,133,132,128,125,127,131,131,131,129,128,130,132,131,129,129,130,132,134,132,129,129,129,129,131,131,130,129,129,130,131,132,133,133,132,131,130,130,130,132,131,128,128,130,132,131,131,133,134,134,133,132,132,132,131,130,130,131,132,133,134,134,134,134,134,135,134,133,133,135,136,136,137,136,135,136,139,139,137,135,136,138,138,136,136,138,138,139,139,141,142,142,140,138,138,140,143,144,143,143,141,141,140,140,141,142,144,145,145,144,144,144,145,147,148,148,147,146,144,145,145,145,142,140,141,144,145,144,144,144,145,146,148,150,150,149,149,149,147,148,150,150,151,152,152,150,148,147,147,148,149,149,150,152,152,149,146,146,146,147,148,149,149,150,152,153,154,153,151,150,150,150,150,148,147,149,152,154,155,154,153,152,151,151,150,149,146,147,150,151,150,151,151,149,147,145,145,146,146,148,150,151,151,152,152,154,154,154,154,157,158,157,155,153,151,152,152,150,148,149,149,148,147,147,147,147,148,149,147,147,150,153,154,152,150,148,147,146,146,148,149,148,148,149,150,150,151,151,152,152,150,149,149,149,148,145,142,143,144,145,146,147,147,147,146,146,145,141,139,139,141,142,143,143,144,147,150,149,145,141,140,141,141,140,140,141,142,144,146,148,150,151,151,151,150,148,146,145,146,146,144,142,141,142,144,144,142,143,148,149,146,144,144,145,144,144,144,144,143,142,143,144,144,144,146,150,153,149,143,142,144,147,148,148,150,154,157,157,154,154,156,160,162,161,160,160,158,157,157,160,164,164,162,165,165,162,160,161,164,164,164,165,166,166,164,164,167,169,169,167,164,162,160,159,158,157,157,157,159,162,163,163,167,167,165,163,164,167,168,167,167,167,166,164,163,162,163,166,167,168,170,171,170,167,165,163,163,163,163,161,158,158,160,163,165,164,166,167,166,164,163,165,165,165,165,166,163,161,161,160,160,160,162,161,156,155,155,153,153,155,155,154,153,156,159,160,158,154,154,156,156,156,154,152,149,149,149,149,148,147,145,143,142,143,144,144,144,145,146,147,147,145,144,145,143,140,141,144,145,147,149,150,150,148,146,143,141,140,141,145,149,149,148,146,144,null],[127,123,119,120,123,124,123,122,121,121,122,124,124,124,125,127,129,130,129,126,124,127,130,131,131,129,129,130,131,128,127,129,130,131,131,130,129,128,128,128,129,129,129,129,129,131,134,135,135,133,132,131,129,128,128,131,130,128,130,133,134,131,129,131,131,131,130,130,130,129,128,129,132,134,134,134,134,133,132,132,132,132,132,132,134,134,134,135,137,137,136,136,139,141,140,138,138,139,139,137,137,139,140,140,141,141,142,142,139,136,137,141,144,146,145,143,142,141,142,143,143,143,144,145,146,146,145,145,146,147,147,147,145,144,144,144,145,145,143,141,142,143,143,142,142,143,144,146,149,151,151,150,149,148,148,148,148,147,147,150,151,149,146,145,147,149,150,150,151,152,152,150,148,148,148,147,149,151,152,152,151,152,152,152,151,149,149,149,150,149,149,151,153,154,154,153,153,151,150,150,150,150,148,146,147,148,149,150,150,148,146,145,145,145,144,146,148,150,151,152,153,154,154,153,154,157,157,156,154,153,152,153,153,150,148,150,152,151,149,146,146,147,148,147,147,148,151,154,153,151,148,147,146,146,147,148,148,148,148,149,151,151,150,150,153,153,152,151,150,149,148,146,142,140,142,145,147,148,148,147,146,145,143,140,137,138,140,141,144,145,146,148,149,146,142,139,140,142,142,142,142,143,143,144,148,151,154,153,152,149,148,146,144,144,145,144,142,141,142,144,145,145,144,145,147,148,146,144,144,144,144,144,144,142,141,143,146,147,145,145,148,153,154,149,143,142,145,147,146,146,150,156,160,159,157,157,158,160,160,160,160,159,159,159,158,159,162,162,162,165,163,159,158,161,163,164,165,166,166,164,162,163,167,168,167,166,165,163,160,159,158,158,157,156,158,160,161,163,167,168,166,165,165,168,170,170,169,167,164,164,165,165,164,164,166,171,174,175,173,169,166,164,163,164,165,164,161,161,163,163,163,162,164,167,166,162,160,162,165,166,167,166,163,160,160,162,162,159,158,157,154,154,156,156,157,158,157,154,153,155,160,161,158,155,155,157,157,155,152,151,151,151,151,150,149,147,145,144,144,144,145,148,148,148,147,148,149,149,148,145,142,141,143,146,148,149,151,153,152,149,147,146,143,140,141,145,149,150,147,145,144,null],[127,124,122,124,125,124,123,123,120,120,120,123,125,125,125,125,127,127,126,125,125,128,130,129,128,128,130,130,129,127,127,129,130,130,129,129,128,126,126,127,128,128,129,129,130,131,133,135,134,132,132,131,127,126,127,129,129,129,131,133,132,130,128,129,128,128,128,128,129,127,127,130,134,135,135,135,135,132,129,129,131,131,131,134,135,134,132,133,134,136,137,137,139,141,141,140,139,139,140,138,139,140,141,141,141,141,141,139,137,136,138,142,144,145,145,145,143,142,142,143,144,144,144,145,146,146,146,146,147,147,146,144,143,143,141,142,145,145,143,141,140,141,143,143,143,143,144,146,149,149,150,150,148,146,146,147,147,146,146,148,150,148,146,146,148,149,150,150,150,151,153,153,151,150,149,147,148,150,153,154,153,151,152,152,151,149,148,148,148,149,151,153,153,153,151,151,152,151,148,148,150,150,148,146,146,148,150,150,150,148,147,146,144,143,143,145,147,148,150,152,154,155,156,156,156,157,157,156,155,155,155,155,153,151,150,150,152,152,151,148,145,146,147,146,148,151,154,154,153,151,147,145,146,148,149,148,147,147,147,148,149,150,149,150,152,152,150,149,148,147,147,146,142,140,141,146,148,148,147,147,147,144,140,137,137,138,139,139,142,146,148,148,145,141,140,141,144,145,144,145,146,146,145,144,147,151,153,153,151,149,147,144,143,143,143,143,142,141,143,145,145,145,145,145,144,145,145,144,143,143,143,143,143,141,141,144,148,149,146,144,146,151,154,151,145,143,144,146,146,148,152,157,160,158,158,158,159,158,157,158,159,159,160,161,160,158,158,161,164,165,162,158,160,163,163,163,164,164,162,161,161,164,166,165,163,163,164,164,161,160,160,159,158,158,159,160,161,162,165,167,167,168,168,169,169,170,170,169,165,165,169,170,168,163,163,168,175,178,176,173,170,166,165,165,166,167,166,167,166,164,162,164,166,167,166,162,159,160,163,166,166,164,164,162,160,161,161,160,158,158,157,157,158,160,161,160,158,156,155,156,159,160,158,156,155,156,155,154,151,150,150,149,149,150,149,146,144,144,146,147,148,150,150,150,149,148,147,149,149,145,143,143,143,144,148,151,152,153,152,149,148,146,143,142,144,147,148,147,145,144,144,null],[124,124,125,126,126,125,125,125,122,121,121,123,125,126,126,126,127,126,125,125,126,129,130,128,126,127,130,130,128,128,129,130,130,130,130,129,127,125,125,128,129,129,130,130,131,132,132,132,131,130,131,130,125,125,127,128,128,128,129,130,130,129,129,128,127,127,127,127,127,126,127,130,132,132,132,133,133,131,129,129,131,133,135,137,137,136,135,134,133,135,138,140,139,139,140,140,139,139,138,138,139,139,139,141,143,143,140,137,136,138,141,143,143,144,144,144,143,143,142,143,144,145,145,145,145,144,145,145,146,145,144,143,142,142,141,142,145,144,141,139,139,140,143,146,146,145,144,145,147,147,148,149,149,147,145,146,148,148,147,146,148,148,147,147,147,148,148,148,148,149,151,152,152,151,150,148,147,149,152,153,153,152,151,151,150,148,148,148,148,150,152,154,154,152,149,148,149,149,148,149,150,149,148,147,148,149,150,151,150,150,148,146,144,143,143,146,148,148,149,151,153,155,157,158,158,158,158,157,156,155,156,156,155,153,150,150,150,150,150,147,144,144,145,146,149,153,154,155,155,152,148,145,146,150,150,148,146,146,147,148,148,149,151,152,153,151,148,146,145,144,144,143,140,140,142,145,146,146,146,148,147,143,138,136,137,139,139,140,142,146,149,146,141,138,140,143,146,146,145,147,150,150,147,146,149,152,152,152,151,149,145,141,140,142,141,141,141,142,143,145,145,144,143,142,140,141,142,142,143,142,142,142,142,143,144,146,150,150,148,146,146,150,152,150,146,144,145,147,149,151,153,156,157,155,157,159,158,155,154,156,159,160,160,160,158,156,156,161,164,163,160,158,160,162,163,163,162,160,159,160,163,165,164,161,160,162,164,164,163,162,162,162,160,160,160,160,161,161,161,164,167,170,170,169,168,168,169,168,166,168,171,173,170,165,163,165,171,176,176,175,173,171,169,168,166,167,170,170,167,164,163,167,169,169,167,163,160,159,161,164,163,163,164,164,160,157,157,159,161,162,162,161,162,162,162,159,158,159,157,157,157,160,161,160,157,157,157,155,152,151,151,149,149,152,150,146,144,145,148,150,150,150,151,152,151,148,146,148,148,144,144,144,142,142,148,151,152,152,152,149,146,143,141,143,147,149,149,148,146,145,145,null],[121,124,127,126,125,126,126,125,123,122,123,125,126,126,128,128,128,126,126,126,126,129,129,128,126,126,129,129,127,129,130,130,128,128,129,128,125,124,127,130,130,129,129,130,131,132,132,131,129,129,129,127,125,125,127,127,126,126,127,128,129,130,130,129,129,128,127,126,127,127,129,129,129,127,127,129,129,130,130,131,134,136,138,139,139,139,139,137,135,136,139,141,139,137,137,139,139,137,136,137,138,138,138,141,145,145,141,137,138,140,142,143,143,143,143,142,142,142,142,142,144,145,145,144,142,141,142,143,143,143,143,141,140,140,142,145,145,143,139,137,139,141,144,146,148,147,145,145,146,147,147,148,150,148,145,146,149,149,148,146,146,147,147,147,146,147,147,146,147,148,149,150,151,152,152,149,148,149,150,150,150,151,151,150,148,147,147,148,150,151,152,155,155,152,148,146,146,147,148,150,150,148,147,147,149,150,150,150,151,151,148,146,144,143,142,145,149,151,150,150,152,155,157,158,158,157,157,157,156,154,154,156,157,154,152,151,149,147,147,146,144,143,143,145,149,153,154,155,155,153,149,146,146,149,149,147,145,146,148,150,151,151,153,154,154,151,148,146,144,143,142,140,139,140,142,143,143,144,146,146,146,142,138,136,137,139,141,142,144,147,148,144,139,139,142,145,146,145,145,149,153,152,151,151,151,152,152,151,149,148,143,138,138,139,139,139,140,141,142,144,144,143,142,141,139,139,139,141,142,142,141,142,144,146,147,148,150,152,151,149,148,149,150,148,146,146,148,149,151,152,153,153,152,152,156,158,156,154,154,156,159,159,157,156,155,154,155,159,162,160,158,160,160,161,163,164,163,160,159,161,164,164,162,159,159,161,163,164,163,163,164,165,163,161,159,159,160,160,161,163,167,171,172,170,168,168,168,167,166,170,172,171,168,166,166,167,169,172,175,175,174,173,171,169,166,168,171,171,167,164,164,169,170,169,166,163,161,160,160,161,161,161,162,163,162,157,154,156,161,164,163,163,163,162,160,157,157,160,160,158,157,160,163,162,161,161,160,157,154,153,152,150,152,155,153,147,145,147,150,152,151,148,149,152,150,147,146,146,145,143,143,144,141,142,146,150,151,152,151,149,145,141,141,144,148,150,151,150,148,147,145,null],[120,124,128,126,125,125,124,123,122,123,125,126,126,126,127,127,127,126,127,126,126,128,128,128,127,126,126,126,127,128,127,126,125,125,126,125,124,125,128,131,129,127,129,130,130,131,131,131,129,127,125,124,125,126,127,126,125,126,127,129,129,129,129,131,131,129,129,129,129,130,131,131,130,127,125,125,127,129,130,132,134,136,136,136,139,141,139,139,140,138,138,139,138,136,135,136,136,135,136,138,139,138,139,142,145,144,141,139,139,140,141,141,141,142,142,141,141,141,142,144,145,145,144,143,141,140,140,142,142,143,142,139,137,138,141,145,146,142,138,138,139,140,142,144,146,147,146,146,146,147,148,147,147,147,145,145,148,149,148,146,144,144,145,146,146,147,148,147,146,146,147,149,152,154,154,151,150,150,149,148,148,150,151,150,147,146,146,148,152,153,153,155,155,153,149,146,145,146,148,149,148,145,145,146,147,148,148,148,149,150,147,144,143,142,142,145,150,152,152,150,152,156,158,158,156,155,155,156,155,153,153,155,156,155,154,153,149,147,147,147,145,143,142,145,149,152,153,153,153,152,148,146,146,147,147,146,145,146,149,152,153,153,154,153,151,151,150,147,145,144,143,142,140,140,140,140,142,144,144,143,143,141,138,136,138,140,141,143,145,147,147,143,140,141,143,146,146,145,146,150,153,153,154,155,153,151,149,148,147,146,143,138,137,138,138,138,138,139,141,142,142,143,143,142,140,139,140,142,142,140,140,142,144,146,147,147,149,152,152,152,151,150,149,148,148,150,151,150,150,152,154,151,149,151,155,156,154,153,155,156,157,157,156,154,154,153,154,156,158,158,159,162,163,163,165,166,164,161,159,160,161,161,161,160,160,161,163,164,163,164,167,168,166,163,161,160,161,162,164,166,168,171,173,172,171,170,168,167,168,172,172,168,165,165,169,172,172,172,175,177,176,173,169,167,167,170,172,172,168,165,165,166,166,166,164,162,161,160,160,158,158,158,158,162,165,161,155,155,158,160,160,160,161,161,158,155,156,160,160,159,159,160,160,162,162,162,161,159,154,152,152,153,155,156,152,148,148,150,153,154,149,145,145,148,146,145,145,145,144,143,144,145,144,142,144,148,151,151,150,147,144,142,142,144,147,150,151,151,148,146,144,null],[120,124,126,124,123,124,124,122,121,123,126,127,126,124,124,124,124,124,126,125,124,126,127,128,128,127,124,124,125,124,123,123,123,123,124,123,123,124,127,129,127,125,127,128,127,128,129,130,129,126,124,125,127,128,128,127,126,127,129,131,131,129,127,130,132,130,131,132,131,131,132,133,133,129,125,125,128,130,130,130,132,134,134,134,137,139,138,140,142,141,139,137,136,135,133,133,134,134,135,137,139,140,141,142,143,142,140,139,138,138,139,140,140,140,142,142,141,141,143,145,146,145,144,143,141,140,140,142,143,144,141,138,135,137,141,143,143,140,137,137,139,139,139,140,143,145,146,146,146,147,147,145,144,143,144,145,146,147,148,147,144,142,142,143,145,146,147,146,145,145,147,150,153,154,154,152,151,150,150,150,148,148,149,149,148,145,145,148,152,153,152,152,153,153,151,147,145,146,147,147,146,145,145,145,145,146,147,147,148,149,146,143,142,142,143,147,150,151,151,151,152,156,158,158,156,154,153,153,153,154,154,155,156,157,156,154,151,149,150,150,148,145,143,144,147,150,151,151,150,148,147,145,145,146,147,147,146,147,149,151,153,153,153,150,147,147,149,148,146,145,145,145,142,139,138,138,140,143,142,141,141,139,138,138,140,141,142,144,147,147,145,142,140,140,143,146,148,148,149,151,152,152,154,155,151,147,146,145,145,144,142,139,138,138,138,138,139,140,140,141,141,142,144,144,142,141,142,145,143,138,140,143,144,144,144,146,150,152,153,153,153,152,150,149,151,154,153,151,150,150,151,150,149,151,154,154,151,153,156,155,154,155,154,154,155,156,156,155,157,158,160,162,162,163,164,164,161,158,158,160,160,159,160,161,162,164,166,166,164,164,169,170,168,167,166,165,164,165,167,169,169,171,172,173,172,171,169,168,170,173,173,168,165,166,172,177,177,176,176,177,177,176,171,169,169,172,173,173,170,167,164,163,161,161,162,161,160,160,159,157,156,155,155,159,163,161,157,155,155,156,156,157,158,157,155,154,155,158,159,160,161,159,157,159,159,159,160,159,154,151,152,155,156,153,149,148,151,154,154,152,148,144,143,143,144,145,145,145,145,145,146,147,146,143,142,145,149,151,149,146,145,144,145,146,148,150,150,150,148,147,145,null],[120,121,121,120,121,125,125,123,122,123,126,126,124,122,122,122,122,122,124,123,122,123,124,126,128,127,124,123,123,121,121,122,123,124,125,124,123,123,124,125,125,124,125,125,124,124,126,128,127,125,125,129,130,130,129,129,129,128,129,131,132,129,126,129,131,131,133,134,131,131,133,135,135,132,129,129,132,132,129,129,131,134,135,135,136,137,138,139,141,142,141,136,134,133,133,134,134,135,135,135,138,140,141,141,140,139,138,137,137,137,139,139,139,139,140,142,142,143,143,144,146,145,145,144,142,140,140,142,143,142,140,137,137,139,141,140,138,136,135,137,139,139,139,140,143,144,145,145,145,146,146,145,142,141,143,145,145,146,147,147,144,142,141,141,142,144,146,145,144,146,149,151,152,152,152,152,150,149,151,152,150,147,146,148,148,146,144,147,151,152,149,149,152,154,152,149,148,147,145,144,146,147,145,144,145,146,146,147,148,149,147,144,142,143,145,148,150,149,149,150,152,156,158,159,157,156,154,152,152,154,157,157,156,157,157,155,153,152,152,151,150,147,144,143,145,148,150,149,148,147,146,144,145,146,148,149,149,149,149,149,151,152,152,149,145,143,144,146,147,146,146,145,142,140,139,138,138,140,141,140,139,138,137,139,141,142,142,144,147,147,143,140,138,139,142,147,150,151,151,151,150,150,151,151,148,145,144,144,144,143,140,138,138,139,139,141,142,143,143,142,142,143,144,145,144,143,145,147,143,138,142,145,145,143,144,147,150,152,152,154,155,154,151,151,153,154,152,151,150,149,148,148,150,152,153,152,151,153,154,152,151,153,153,153,155,157,158,158,158,159,160,159,160,161,161,159,156,154,156,160,161,160,160,161,164,167,168,168,166,166,170,171,170,170,171,171,169,167,168,169,169,171,172,172,171,170,170,171,171,172,172,169,168,169,174,178,179,178,178,178,178,178,176,174,173,173,174,172,170,166,164,161,159,159,161,162,161,159,157,157,156,155,155,155,157,158,157,155,153,153,154,156,155,154,153,153,153,154,156,159,160,159,157,156,155,154,158,159,156,152,152,156,155,150,148,150,153,155,154,152,149,147,144,142,145,146,145,146,147,149,150,149,148,145,143,144,148,151,150,147,147,148,148,149,150,150,150,150,150,150,149,null],[117,115,115,116,119,123,123,123,122,123,124,123,122,121,121,122,121,121,122,122,121,120,120,123,125,125,124,123,122,121,122,124,125,126,127,125,123,123,124,125,124,124,124,125,125,124,124,126,125,125,127,130,131,130,130,132,132,129,130,131,130,128,127,129,131,131,133,133,131,132,135,137,136,134,134,135,135,133,131,131,133,136,138,139,139,139,140,139,139,141,140,136,133,133,135,137,138,138,136,135,136,138,139,139,139,138,137,136,137,139,140,141,141,139,139,141,142,143,142,142,143,145,146,145,142,140,139,140,140,139,139,137,138,140,140,137,135,135,136,138,140,141,142,144,145,145,144,143,144,145,146,144,142,141,142,144,146,147,147,145,143,143,144,144,144,146,147,145,146,148,151,152,151,151,151,150,149,150,153,154,153,149,146,147,147,146,145,146,149,149,148,150,152,154,153,152,151,148,145,143,146,148,146,144,146,147,147,147,148,148,147,145,144,144,146,148,149,150,150,150,153,156,158,158,157,156,155,154,153,153,155,156,156,157,158,156,154,153,152,151,150,148,144,143,145,148,149,149,148,147,146,145,145,147,148,150,151,151,150,149,150,151,150,148,145,142,141,145,148,147,146,144,143,143,142,139,137,137,138,138,137,137,137,139,140,140,141,144,146,145,141,139,139,140,144,147,150,151,151,151,150,149,149,148,146,146,147,146,144,141,139,138,139,140,140,141,143,145,145,144,144,146,148,148,147,145,146,146,144,142,146,149,148,146,147,150,151,150,151,153,155,155,153,152,152,150,150,150,150,149,149,149,150,150,150,152,152,153,152,150,149,151,152,152,152,152,154,156,158,159,159,158,159,160,158,155,154,155,158,163,164,162,161,161,164,165,166,166,167,168,170,171,173,173,172,172,171,168,168,167,167,171,174,174,171,170,171,172,169,170,172,170,169,171,175,176,176,176,179,179,177,176,177,177,175,174,174,169,166,164,164,163,161,161,160,161,161,159,158,157,155,155,156,155,154,155,156,155,153,152,153,155,155,155,154,153,152,152,155,158,159,159,159,156,153,152,156,159,158,156,155,157,156,151,150,153,154,154,154,153,153,152,148,146,149,149,146,144,146,151,153,153,150,147,144,144,147,150,151,150,152,153,151,151,152,150,150,152,154,154,153,null],[112,110,110,113,116,119,119,119,120,121,120,121,120,120,121,122,122,121,121,122,122,119,119,121,122,123,124,124,124,125,127,128,128,128,128,126,124,124,125,126,126,126,126,127,127,127,126,127,127,128,130,130,130,129,130,133,133,131,130,130,129,129,129,129,130,132,133,133,131,132,135,137,136,135,136,137,135,132,132,133,135,137,140,142,142,141,140,139,138,139,139,136,133,133,137,140,141,141,138,136,136,136,136,137,138,137,136,135,137,140,141,142,142,141,140,139,140,142,142,141,142,144,146,145,142,141,140,138,138,138,138,138,138,140,139,136,136,137,139,140,141,143,145,147,148,147,144,143,143,144,144,143,142,142,141,143,146,147,146,143,142,144,146,146,147,149,149,147,148,149,150,151,151,151,150,149,150,152,153,154,153,151,149,148,148,146,145,145,147,148,149,151,152,153,153,153,152,149,145,144,146,147,146,145,147,148,148,147,146,146,145,145,145,146,146,147,148,151,152,153,154,156,156,155,155,154,154,155,152,151,151,153,156,157,157,156,154,152,152,152,151,148,143,142,145,148,148,148,149,147,145,145,147,149,149,149,149,151,152,152,151,151,149,148,147,144,143,145,147,147,145,144,144,145,144,141,137,136,136,137,136,136,137,138,138,138,140,143,144,142,139,138,140,143,147,149,150,150,150,151,149,148,146,146,147,148,149,147,142,140,138,138,139,139,138,139,142,145,145,144,145,147,148,148,149,148,147,146,146,147,148,149,149,149,150,152,152,150,151,153,155,155,154,152,150,147,148,150,151,151,151,152,151,149,149,150,151,151,150,149,149,150,152,153,152,151,151,153,155,158,158,158,159,159,156,154,156,158,161,164,165,164,163,163,163,163,163,164,166,168,168,171,174,173,171,170,169,167,167,166,166,170,175,175,172,170,170,170,167,168,171,169,169,171,174,175,172,173,177,179,177,172,171,173,174,174,174,168,163,163,164,164,163,162,159,158,159,161,161,159,156,157,158,157,155,156,157,156,154,152,152,153,155,155,155,153,152,152,156,159,158,157,156,155,154,154,157,160,160,158,158,158,158,154,153,154,154,154,155,157,157,156,153,152,153,152,147,145,146,151,156,156,153,149,147,148,148,150,152,153,155,156,154,153,153,151,152,155,156,155,153,null],[109,109,108,109,112,114,115,116,116,116,116,118,120,120,121,122,123,122,122,122,122,121,121,121,120,121,124,126,127,129,130,131,131,131,129,126,125,126,128,128,129,129,128,129,129,129,129,130,131,131,131,130,130,130,131,133,133,132,132,131,131,130,130,129,130,133,135,135,132,132,134,135,136,137,136,135,132,130,130,132,135,137,139,140,139,139,138,138,138,138,137,136,134,135,138,141,142,141,140,138,138,137,135,135,135,136,136,136,137,139,140,141,143,143,141,139,140,141,143,143,144,144,144,144,143,142,141,139,138,138,138,137,138,140,140,139,139,141,141,142,143,144,145,146,147,147,146,144,143,141,141,141,142,142,142,143,145,145,143,141,142,144,145,147,149,149,149,148,148,149,149,151,151,150,149,150,151,152,151,151,152,152,151,151,149,145,143,144,147,148,148,150,152,153,151,150,150,148,146,146,146,146,146,147,148,148,147,145,144,144,144,143,146,148,148,147,148,151,154,155,156,154,153,153,153,151,150,151,150,149,150,153,156,157,156,154,152,151,151,154,154,148,143,142,145,148,147,147,148,146,144,145,148,150,149,147,147,149,152,153,152,150,148,148,147,146,144,144,145,146,145,145,146,146,143,140,137,136,136,136,136,137,137,137,137,138,139,141,141,141,140,139,141,145,149,151,151,150,149,149,149,147,146,147,148,149,148,145,140,138,138,139,139,138,137,138,141,143,143,142,143,145,145,146,148,148,148,148,148,148,148,147,147,147,148,150,152,153,153,154,155,155,155,153,149,146,149,154,154,154,154,153,152,151,150,148,147,147,149,149,149,151,152,154,155,155,152,152,153,155,156,156,157,157,155,154,157,158,159,161,163,165,166,166,165,165,166,166,166,166,166,169,172,173,170,168,166,164,165,166,166,168,171,172,171,168,168,167,166,166,169,168,168,170,173,173,171,170,172,176,176,170,166,167,170,175,175,170,164,163,164,164,163,161,159,158,160,163,164,162,159,159,160,159,156,157,158,157,156,153,153,151,151,152,152,152,153,154,157,159,158,154,151,152,155,158,159,159,159,157,157,159,159,157,154,154,155,156,158,159,159,158,156,154,153,152,149,149,150,153,156,157,153,150,150,152,152,151,151,153,155,156,156,154,153,153,153,153,153,152,151,null],[114,114,109,106,106,110,115,116,114,114,116,118,120,123,123,123,123,123,122,122,123,124,124,122,120,121,123,125,127,129,130,131,132,132,131,129,127,128,130,131,132,132,130,130,130,130,130,131,132,131,130,130,131,132,132,133,133,134,133,132,133,133,132,129,130,133,136,136,135,133,134,135,137,139,136,132,130,129,129,130,132,135,136,135,135,135,136,136,136,137,137,135,135,136,139,141,141,139,138,139,139,138,137,136,136,137,138,139,139,139,139,140,142,143,142,140,140,141,143,145,147,146,144,142,142,141,140,140,139,139,139,137,138,141,142,142,142,142,143,144,145,145,144,144,144,144,144,144,142,139,139,141,142,142,141,141,142,143,143,142,142,144,146,147,148,148,149,149,149,149,150,152,152,150,148,148,151,152,152,151,151,151,150,150,148,145,142,142,144,146,147,149,152,153,151,148,147,145,145,145,145,145,147,148,148,148,147,144,142,144,144,143,145,148,149,148,149,152,154,155,154,152,151,152,152,149,146,147,149,151,154,156,157,157,156,153,150,150,151,154,154,149,144,143,144,146,146,146,146,144,143,145,147,149,148,146,146,150,152,151,148,146,146,146,146,145,144,144,144,144,146,147,147,145,142,138,137,137,138,138,138,139,139,139,138,138,139,140,142,142,142,143,144,145,148,150,150,148,146,147,148,148,149,149,149,148,147,143,139,138,139,139,140,139,139,140,143,144,143,141,142,144,146,148,149,150,150,149,148,146,145,145,145,146,147,149,151,154,155,154,154,154,154,152,149,146,150,154,155,155,153,152,152,152,151,149,146,147,150,151,151,152,154,156,159,159,156,155,154,154,155,155,157,158,157,156,157,157,157,158,160,164,166,167,167,168,168,167,165,164,166,169,170,171,169,167,165,164,164,164,165,166,167,169,169,168,167,166,167,168,168,168,168,169,170,171,170,168,169,171,171,167,165,166,170,175,177,172,167,165,166,164,162,159,158,159,161,164,164,162,160,160,161,160,159,159,159,157,156,156,155,151,148,149,150,150,151,153,154,155,153,150,149,153,157,159,158,156,155,154,153,156,158,157,155,155,156,159,159,159,158,157,155,153,152,151,151,152,153,154,155,154,151,149,151,154,155,152,151,151,153,154,154,151,150,152,153,151,150,150,150,null],[121,120,113,105,103,107,114,117,116,117,120,120,121,125,126,126,124,123,122,122,123,125,124,122,121,123,124,125,125,126,129,130,131,131,133,132,129,130,131,132,134,133,131,130,131,130,130,130,130,130,130,130,132,132,132,132,133,136,134,132,133,134,133,130,129,132,135,137,137,135,135,136,138,140,137,132,130,129,129,130,131,133,133,132,132,133,134,134,133,136,136,134,134,137,139,139,138,137,138,138,138,138,138,138,139,140,141,142,142,140,139,139,140,142,142,142,142,142,143,145,148,147,144,142,141,140,138,138,139,139,139,139,139,140,142,142,142,142,144,145,145,144,143,143,142,141,141,141,140,139,139,141,141,140,140,139,140,144,145,143,143,145,146,146,146,147,148,149,149,150,153,153,151,149,147,147,149,152,153,153,151,150,149,148,148,148,146,142,141,143,147,150,152,152,151,148,144,143,143,143,144,146,146,146,147,148,147,143,142,144,145,144,145,147,149,151,153,154,154,153,152,151,150,150,150,147,146,147,150,154,157,157,156,157,156,153,151,150,151,152,152,150,146,143,143,144,145,145,144,144,143,145,146,147,148,148,148,151,152,149,145,144,144,144,143,142,142,142,143,144,145,146,145,143,139,136,135,137,140,141,141,142,143,143,141,140,141,143,143,143,144,147,147,146,147,149,148,145,145,146,148,150,150,150,149,147,144,142,140,140,140,140,141,142,142,143,145,147,145,143,142,145,150,153,152,151,151,150,146,143,143,146,148,148,148,148,150,152,155,154,151,150,150,150,148,148,150,153,154,154,152,152,154,154,153,151,149,151,154,154,152,153,155,157,158,159,159,159,157,156,156,157,159,160,160,158,158,158,158,158,159,162,166,168,170,170,169,166,164,164,167,170,170,169,168,167,166,165,162,162,163,165,166,167,168,169,166,165,169,170,169,168,168,167,168,169,168,167,167,167,166,162,165,170,171,173,177,173,168,166,167,165,161,158,159,161,162,163,162,161,159,159,160,161,160,159,158,156,155,156,155,151,148,149,151,148,147,149,150,149,148,148,151,156,157,156,155,153,152,150,150,152,154,156,155,155,157,158,158,157,155,154,153,151,150,151,152,152,151,153,153,151,148,148,150,153,153,151,148,148,150,152,151,148,147,150,152,151,149,149,149,null],[124,122,117,110,105,107,112,117,119,121,123,123,122,123,125,126,124,121,121,122,122,121,119,118,120,125,128,128,125,126,129,130,129,129,133,134,132,131,131,132,132,132,131,130,130,130,130,131,131,130,130,131,132,131,130,130,133,135,133,132,134,136,134,131,129,129,132,136,138,137,137,137,139,139,138,136,134,131,130,130,131,132,131,131,131,132,133,132,132,134,133,130,132,136,137,136,136,138,141,140,138,136,136,138,140,140,140,142,143,142,140,138,139,141,142,144,144,144,145,146,147,145,143,142,141,140,139,137,137,138,139,140,140,139,140,141,141,141,143,144,144,144,143,143,141,140,140,140,139,139,140,141,140,139,138,138,141,145,147,144,143,143,144,145,145,146,147,148,149,151,153,152,150,149,149,148,148,150,152,153,152,152,151,150,150,152,151,146,141,143,148,151,152,151,149,146,143,141,142,143,145,146,145,145,147,148,146,144,143,143,144,145,146,148,150,153,155,156,156,154,152,151,150,148,148,148,150,152,151,153,155,155,155,155,155,153,152,151,149,150,151,150,147,144,143,144,144,144,145,145,145,145,146,147,149,150,151,153,154,151,147,145,144,144,143,141,139,141,142,143,143,143,142,140,136,134,134,137,141,142,143,144,146,146,144,143,144,145,144,144,145,147,147,146,147,149,147,145,146,149,149,148,146,146,146,144,141,141,142,142,141,140,141,143,144,145,146,147,147,147,145,146,151,154,152,150,150,149,144,142,144,148,150,150,147,145,145,148,151,152,149,147,147,148,148,150,152,154,154,153,152,154,155,155,154,153,152,155,157,157,155,154,154,154,156,159,162,162,159,158,158,159,160,161,161,160,160,162,163,161,161,162,166,169,170,170,167,165,164,166,169,170,168,167,166,165,167,167,162,159,160,164,167,167,167,167,164,163,167,168,166,165,165,164,166,169,169,167,167,165,163,160,164,170,171,172,174,172,168,167,165,163,160,160,163,164,162,161,159,158,157,157,158,160,160,157,156,155,153,152,152,150,150,152,152,147,146,148,150,149,145,148,154,156,155,154,154,153,153,151,149,149,150,153,155,155,155,155,155,153,152,152,151,150,150,152,154,150,147,147,149,149,148,147,147,150,150,147,144,146,150,152,151,148,146,148,150,152,150,148,147,null],[123,122,121,118,114,111,111,115,121,123,123,124,122,119,120,123,122,120,120,120,120,117,114,114,117,124,130,130,128,129,130,130,128,127,129,132,133,132,131,132,131,130,131,131,130,129,130,132,132,130,130,131,132,131,130,129,131,134,134,135,137,137,134,131,129,128,130,134,137,138,139,139,139,139,140,141,138,135,132,130,130,132,132,131,132,132,132,133,133,131,128,128,132,136,137,136,135,138,140,139,138,137,136,137,139,140,141,142,143,143,140,138,139,140,142,143,145,145,146,146,145,143,143,142,141,140,140,138,136,136,138,140,140,139,139,140,140,140,142,142,143,144,144,143,140,139,139,139,138,138,140,141,140,139,139,140,143,146,146,144,142,142,143,144,146,147,147,148,149,151,151,151,151,151,151,149,147,147,149,150,151,151,151,150,151,152,151,146,140,141,146,149,150,150,148,144,141,141,143,145,146,146,144,144,147,148,146,144,144,143,144,146,148,149,151,154,156,156,156,157,155,152,149,147,147,150,153,154,151,149,150,152,153,154,154,153,153,151,149,149,151,151,147,143,142,143,144,146,148,147,147,148,149,149,150,151,153,155,156,154,152,149,146,145,144,141,139,140,141,142,141,140,139,137,134,133,135,138,140,142,143,144,146,146,146,145,147,147,146,145,146,147,146,146,148,149,146,144,147,150,149,145,142,141,142,141,139,140,142,143,142,141,141,142,143,144,145,146,148,149,148,148,151,151,148,147,148,145,142,142,146,150,149,147,146,144,144,145,148,149,147,146,146,147,149,152,154,155,153,152,153,154,154,153,152,152,153,155,156,157,156,154,153,154,157,160,162,161,159,160,161,162,162,161,161,161,162,165,166,164,163,164,165,167,168,166,164,164,166,169,170,170,167,165,164,165,166,165,162,158,159,164,168,168,166,165,164,163,164,164,162,162,163,163,166,169,170,169,169,167,163,161,163,168,170,170,170,171,169,167,163,161,160,163,166,165,161,158,156,156,156,156,156,156,156,154,153,155,154,150,150,153,154,154,151,149,150,152,153,150,146,148,152,153,152,151,152,153,153,151,148,148,149,152,154,153,152,152,153,150,149,150,149,149,150,152,152,148,144,144,147,150,150,147,145,147,148,144,142,145,148,150,150,148,147,146,149,152,151,147,145,null],[123,123,123,124,123,117,113,115,121,122,122,123,122,117,115,116,119,120,118,116,115,114,112,112,114,120,126,127,126,128,129,129,128,127,127,129,132,132,132,134,132,130,132,133,132,131,131,131,131,130,129,131,133,132,130,129,130,132,135,138,138,136,133,131,131,130,130,132,135,138,140,140,140,140,142,143,141,137,134,130,130,132,133,132,132,133,133,135,134,127,123,127,134,138,139,138,137,136,136,137,139,140,138,137,139,141,142,142,142,141,139,140,141,141,141,142,143,144,144,144,144,144,144,142,139,139,140,140,137,136,138,140,141,141,141,141,141,141,141,142,143,144,144,142,139,137,138,138,138,138,139,140,140,140,140,142,143,144,144,143,142,142,143,146,147,148,148,149,150,150,150,151,154,153,151,149,147,146,146,147,148,149,148,147,147,147,146,143,139,139,142,144,148,150,147,142,140,140,142,145,146,144,143,144,145,146,144,143,143,143,145,147,150,150,151,154,156,154,155,157,156,153,150,149,149,151,152,151,148,147,149,151,152,153,154,153,153,152,148,148,150,150,147,143,140,141,144,148,151,150,150,151,151,150,150,152,155,157,156,155,153,151,147,144,144,143,141,140,141,141,141,140,138,135,134,135,137,139,140,141,141,142,143,145,146,146,148,149,148,148,148,148,147,146,147,147,144,143,147,149,147,143,140,139,139,139,139,140,141,142,143,143,140,139,141,142,143,145,147,149,150,149,151,148,144,145,145,142,140,143,147,148,144,143,145,145,145,145,146,147,146,146,148,150,151,153,155,154,152,150,151,152,151,150,150,150,152,154,154,155,154,154,154,157,159,160,158,158,159,161,163,163,162,161,160,162,164,165,165,164,164,164,165,166,166,164,163,166,169,172,171,168,166,164,165,166,165,162,161,160,160,164,168,168,167,166,165,165,164,162,160,161,163,165,166,168,170,171,171,169,164,161,163,168,169,168,168,170,172,170,165,162,162,165,167,165,159,155,155,156,156,155,154,153,153,152,154,157,155,152,153,157,160,156,151,152,156,157,155,150,148,148,149,149,149,149,151,152,152,150,148,149,152,154,154,152,151,151,153,150,147,147,147,148,150,151,148,146,145,145,149,152,151,147,145,146,148,145,143,145,146,146,146,147,147,146,147,150,151,150,147,null],[123,123,124,124,125,122,117,116,120,122,121,122,121,116,112,112,118,121,116,111,110,111,111,111,111,115,120,120,118,120,124,126,129,129,128,128,131,132,133,134,134,133,133,134,134,134,134,132,132,131,130,131,133,132,130,130,131,132,135,136,136,133,132,133,133,132,132,134,134,137,139,137,138,141,143,141,139,137,135,133,132,133,132,131,132,134,135,136,133,124,122,128,135,139,139,139,139,137,135,136,139,140,140,139,140,140,142,143,142,141,140,141,143,143,143,142,143,143,142,142,143,144,144,140,138,139,140,139,137,137,139,141,141,141,140,140,141,143,143,143,143,143,143,140,137,136,138,138,139,139,140,140,139,140,140,140,141,141,142,142,142,143,144,147,147,147,148,150,151,150,148,150,153,153,152,151,151,150,146,145,147,148,147,145,144,144,143,143,142,140,139,140,145,147,144,139,138,139,141,143,144,143,143,143,144,143,141,140,141,143,147,150,151,151,152,153,153,152,153,155,155,153,151,149,149,149,149,148,148,149,151,152,153,152,152,152,152,151,149,148,148,149,147,143,140,141,145,148,151,151,151,152,150,148,149,153,156,157,155,152,151,150,148,146,145,143,142,141,142,143,143,141,137,134,134,137,140,142,142,142,142,142,143,146,148,147,147,147,148,148,149,149,147,145,143,143,143,145,149,150,147,143,139,138,137,138,139,141,143,144,145,144,141,140,142,143,143,145,147,149,150,150,148,146,144,144,144,142,141,143,146,145,142,141,142,144,145,146,146,147,148,149,151,153,153,152,152,151,149,149,149,148,148,149,150,151,153,153,152,152,152,152,154,156,157,155,155,157,160,161,162,162,159,159,161,164,165,164,163,164,162,162,164,166,166,164,164,168,172,172,170,166,165,164,164,165,164,161,160,162,163,166,168,169,168,166,165,165,165,162,160,161,164,166,165,165,168,171,171,169,165,162,164,167,167,166,168,171,174,172,168,165,164,165,165,163,159,157,158,159,157,155,156,155,154,155,157,159,155,152,154,158,161,159,156,156,157,157,154,152,152,151,150,148,147,148,151,152,151,148,147,149,153,156,155,151,150,151,152,151,147,145,145,147,149,148,145,145,146,146,149,152,151,148,147,147,147,146,145,145,146,145,143,144,146,145,145,148,150,151,149,null],[123,123,122,120,121,123,121,118,121,123,122,122,120,117,112,113,118,120,114,109,108,110,111,111,110,111,114,113,111,113,118,123,128,130,129,129,131,132,133,134,135,134,134,134,136,136,136,135,134,134,133,133,133,132,132,132,133,134,135,134,133,132,133,134,134,133,134,135,136,137,137,136,137,142,143,140,137,136,136,136,135,133,130,129,132,136,136,136,132,126,125,131,136,139,139,140,141,141,138,136,136,138,140,140,140,139,140,142,143,141,141,142,144,146,147,145,144,143,141,140,142,143,142,138,137,138,138,138,138,139,141,141,140,139,138,139,142,144,144,143,142,142,141,139,136,137,139,140,141,142,143,141,140,139,138,138,138,138,139,141,142,143,144,145,145,146,148,150,150,148,147,149,152,152,152,153,154,152,148,146,148,150,149,146,144,143,144,146,146,143,139,139,142,143,141,138,138,139,140,141,142,144,144,143,143,142,141,140,141,143,147,151,153,154,154,152,150,150,152,154,153,151,149,147,147,147,146,146,148,151,153,154,153,151,149,150,149,148,148,147,147,148,146,143,142,143,145,148,150,151,151,150,148,148,149,153,155,156,154,151,149,149,150,148,145,143,143,144,145,145,144,141,136,133,136,139,143,145,145,145,144,144,144,148,150,147,144,144,146,147,146,146,145,141,140,141,145,149,151,150,146,143,140,138,138,139,140,142,144,146,146,146,144,143,145,146,146,147,148,150,150,149,148,147,147,145,143,143,143,143,144,144,142,141,141,143,143,144,146,147,148,150,152,153,152,150,148,148,148,148,147,145,145,149,152,152,153,152,150,150,151,152,153,154,154,154,156,158,159,159,160,159,156,157,161,163,163,161,161,162,161,161,163,166,166,165,165,168,171,172,168,165,165,163,162,163,162,160,160,162,165,167,168,170,169,165,163,163,165,164,161,161,163,165,163,162,166,168,168,168,166,164,164,166,165,166,169,171,173,173,170,168,166,165,163,162,161,161,162,162,158,157,159,159,158,160,161,160,154,151,152,157,159,161,161,159,156,154,154,154,155,154,152,149,147,147,150,152,150,146,146,149,153,155,153,150,150,150,150,149,146,145,146,146,147,147,145,145,145,146,147,148,150,150,150,147,145,145,145,145,148,147,144,143,144,144,144,146,147,147,148,null],[122,122,120,118,119,122,123,121,122,123,123,122,120,118,116,116,118,118,114,111,112,113,114,112,110,109,110,111,112,113,116,122,127,129,129,129,131,132,132,133,133,134,134,135,136,137,136,136,137,137,136,134,133,134,134,133,133,136,136,135,133,134,134,134,134,134,135,135,137,137,138,138,141,142,141,140,139,137,136,136,135,132,130,129,133,137,136,136,135,132,132,135,137,137,140,142,143,143,140,136,135,136,139,141,141,139,140,142,143,142,142,143,145,148,149,147,145,143,140,139,139,140,139,137,136,136,136,136,140,143,143,141,139,137,137,139,141,143,142,141,140,140,139,139,138,138,140,141,143,145,145,144,141,139,138,138,137,137,139,142,143,144,144,143,144,145,146,148,147,146,146,148,150,152,152,153,153,151,149,147,149,151,151,149,146,144,145,147,147,143,140,140,141,140,139,139,140,141,141,142,143,145,145,145,145,144,145,146,145,144,146,151,155,157,155,151,149,151,153,153,151,148,146,146,147,147,146,145,146,149,152,154,153,150,147,146,145,145,146,148,149,149,147,144,144,145,146,148,149,149,148,148,149,150,151,152,152,154,155,152,148,148,150,150,146,143,144,146,146,144,142,138,134,134,137,141,144,145,146,146,146,145,146,148,148,145,143,144,146,146,143,142,141,138,137,141,146,150,148,145,143,142,141,140,140,140,141,143,144,145,146,148,147,146,146,147,147,149,150,151,150,150,149,150,149,146,144,145,145,144,144,144,144,144,143,144,143,142,143,145,146,147,150,150,150,149,148,148,148,149,148,146,146,150,151,150,151,151,150,150,152,154,154,154,157,160,159,158,156,156,158,158,156,156,160,160,159,159,159,160,161,161,162,163,164,163,163,165,168,169,167,165,165,162,160,161,161,158,158,161,165,167,167,168,168,164,161,161,163,164,162,162,162,163,163,162,165,166,165,167,168,166,164,165,165,167,169,169,170,172,170,167,168,168,166,164,164,164,164,164,162,160,161,161,161,161,161,158,153,150,151,155,158,162,163,159,155,154,156,156,154,153,152,150,147,146,147,148,147,146,146,149,151,152,150,149,150,150,147,145,144,145,146,146,147,147,146,145,145,145,145,145,147,150,150,147,144,143,144,146,148,149,147,145,143,144,144,143,142,142,144,null],[121,121,121,120,120,121,123,123,122,121,121,121,120,119,119,119,119,116,114,115,116,117,116,113,110,108,108,111,114,114,117,124,127,127,128,129,131,131,132,132,132,132,133,136,137,136,135,135,136,137,135,133,133,135,136,134,134,137,137,136,136,136,136,135,134,135,136,137,138,137,137,140,142,141,139,139,138,136,133,133,134,132,131,132,136,138,136,136,137,136,137,138,138,137,140,142,142,142,139,136,135,136,138,139,140,140,140,141,142,143,143,144,146,148,148,146,144,142,140,139,138,138,138,136,136,135,136,138,141,144,144,141,138,136,137,139,139,139,139,139,139,138,138,139,139,139,140,141,143,146,147,146,143,141,140,140,139,138,139,142,144,146,146,145,144,144,144,144,143,143,145,147,149,150,152,152,151,149,149,149,150,153,152,149,146,145,147,149,148,143,140,140,141,141,140,141,142,143,144,145,145,144,145,146,146,146,149,152,150,146,146,151,155,156,153,150,149,150,153,152,150,146,145,146,147,147,146,144,145,148,151,153,152,151,148,144,142,143,147,150,151,149,146,144,144,145,146,148,148,146,146,148,151,153,153,151,149,151,154,153,150,148,149,150,147,145,145,147,146,143,140,137,134,134,137,140,142,143,144,144,144,145,147,147,146,144,143,144,146,144,141,140,140,138,137,140,146,149,146,142,140,141,142,143,142,141,142,143,144,144,145,147,148,146,146,147,148,150,150,149,149,150,151,152,150,148,146,146,145,144,145,146,146,146,146,145,143,143,143,144,146,147,148,149,148,148,150,152,151,150,150,148,148,150,150,149,149,151,151,152,153,156,157,158,160,161,159,155,153,153,155,156,157,158,158,158,158,160,160,160,160,161,160,161,162,162,163,164,165,165,164,163,163,161,159,160,159,157,156,160,165,165,165,165,166,165,161,159,160,160,160,160,161,162,164,165,165,164,164,166,167,165,164,165,166,165,166,166,168,170,168,166,171,173,169,166,166,165,165,165,165,163,161,161,161,162,160,155,150,150,152,157,161,163,163,159,156,157,158,155,151,151,152,152,150,146,145,145,145,145,146,147,149,150,148,148,150,150,147,144,143,144,145,145,145,147,146,144,143,144,143,143,144,148,150,147,143,142,144,146,147,148,150,148,145,145,144,142,139,140,141,null],[122,122,123,123,122,121,122,123,121,119,119,120,120,120,121,121,118,115,114,116,118,117,116,115,112,109,110,112,114,115,118,125,128,128,129,129,130,132,133,133,132,133,134,137,138,136,134,133,134,134,132,132,133,136,136,135,135,136,137,138,138,138,138,138,136,134,136,139,140,138,136,139,141,140,137,135,135,133,130,131,133,133,133,135,138,139,137,137,139,139,138,139,139,139,140,141,141,140,137,136,138,139,139,138,138,139,140,140,141,143,144,144,146,146,145,143,142,142,141,139,138,137,136,135,135,137,138,139,141,142,143,142,138,135,136,139,139,137,137,138,139,138,137,138,138,138,139,140,142,144,145,146,145,144,142,143,142,140,139,141,144,147,148,148,146,144,142,142,141,142,144,146,148,149,151,152,150,148,150,152,153,153,152,148,146,147,149,150,149,144,140,140,142,142,142,142,143,145,146,146,144,143,145,146,146,147,151,154,153,149,148,150,152,152,151,150,149,149,150,150,149,147,146,146,146,146,146,146,147,149,151,151,151,152,150,144,141,144,150,152,150,146,144,143,143,144,146,147,147,146,146,150,152,152,152,149,146,148,151,153,151,148,148,150,149,148,147,145,145,144,141,137,134,134,136,138,140,141,140,140,142,145,146,146,145,144,144,144,145,142,140,141,142,141,139,140,145,147,145,141,138,139,143,145,144,142,142,143,143,144,145,146,147,146,147,147,148,150,149,147,147,150,151,150,148,148,147,147,146,145,145,147,147,148,148,146,145,145,145,146,147,149,150,150,149,150,152,154,153,152,152,152,151,150,150,151,151,152,153,153,154,155,158,160,159,157,154,152,151,152,153,154,157,159,158,157,159,162,163,162,161,160,159,161,163,163,164,165,164,161,160,160,160,159,158,158,158,157,158,161,164,165,163,163,164,165,161,158,158,157,157,159,160,160,163,166,165,163,163,163,163,162,163,165,164,161,161,164,167,169,167,167,173,175,169,166,165,164,165,165,164,163,162,161,161,161,159,152,150,152,156,162,164,164,163,159,158,158,157,153,150,151,155,155,153,148,145,144,144,145,145,145,146,149,148,147,149,150,149,145,143,143,143,144,145,145,145,143,142,142,142,142,142,145,149,147,143,143,144,146,146,147,150,151,148,147,146,145,143,142,143,null],[124,124,125,125,124,123,121,119,116,117,120,120,120,121,121,120,116,112,112,116,117,117,119,120,117,113,113,115,117,117,118,122,125,127,128,129,129,132,134,136,136,136,136,136,137,135,134,133,133,133,132,133,134,135,135,136,136,137,137,138,139,138,138,138,136,135,135,138,140,139,137,139,140,140,137,134,132,132,131,131,132,134,135,137,139,140,140,140,141,141,140,138,139,140,141,142,141,138,135,136,139,141,139,137,137,138,139,140,142,143,143,144,143,143,142,142,142,141,142,141,139,136,135,135,136,138,138,139,139,141,141,140,137,135,135,138,140,140,139,139,139,138,137,137,137,138,139,141,141,142,143,144,145,146,145,145,144,143,142,141,142,144,145,147,147,146,145,144,144,143,145,146,147,150,152,151,150,150,151,153,154,153,151,148,148,150,151,150,150,148,143,141,141,142,142,143,143,145,147,145,143,143,145,146,147,150,153,153,151,150,149,150,149,149,149,150,149,148,147,147,147,147,146,145,145,147,149,149,149,150,150,148,148,150,148,143,141,144,149,149,146,142,142,143,144,144,145,147,148,148,150,151,151,149,149,147,146,147,150,152,150,147,148,149,149,149,147,143,143,144,142,137,134,134,135,137,139,140,140,141,143,146,146,146,145,143,143,143,142,141,140,142,144,144,142,141,143,144,141,139,138,140,143,144,143,142,142,142,142,144,145,147,147,146,146,147,149,148,146,146,147,150,151,148,145,145,147,147,147,146,146,147,148,149,149,147,146,146,146,147,148,151,152,151,151,152,153,153,154,154,154,154,154,152,152,152,151,151,152,151,151,154,156,156,155,154,153,152,153,154,154,155,156,158,158,158,158,160,162,163,162,161,162,163,164,164,164,164,162,160,158,157,158,158,157,156,157,159,161,162,163,163,162,162,162,162,158,156,156,156,157,157,157,157,159,162,162,161,160,159,159,161,163,163,162,160,160,163,166,168,167,168,171,172,168,165,164,163,163,162,160,159,162,162,161,159,156,151,152,157,163,165,164,162,160,159,158,157,155,153,153,155,157,157,155,151,149,147,146,146,145,144,144,147,147,147,148,148,147,145,142,141,143,146,147,145,143,142,143,143,142,142,141,143,145,146,145,144,143,144,145,146,148,150,150,148,148,148,148,146,145,null],[125,125,126,125,125,124,121,116,114,116,120,120,119,121,121,119,115,112,112,116,118,119,122,123,121,117,116,118,120,118,117,118,121,124,126,128,129,131,132,133,135,136,134,134,135,134,133,133,134,134,135,135,135,134,134,134,135,136,136,136,137,138,138,138,136,136,136,137,138,138,138,139,140,139,138,135,132,132,133,133,133,135,136,137,138,140,141,142,143,143,141,139,140,140,141,143,143,139,136,137,139,141,140,139,138,137,138,140,142,143,143,142,140,139,140,141,141,140,140,140,139,136,135,136,138,139,139,138,139,140,140,138,137,135,135,138,141,142,141,141,141,140,139,139,138,138,140,141,142,141,141,142,144,146,147,145,144,146,145,143,142,142,143,146,148,149,148,148,147,146,147,148,150,153,154,151,151,153,154,154,154,153,151,150,151,153,151,150,152,152,148,142,139,138,139,140,142,145,146,144,143,144,145,147,149,152,153,151,150,149,149,147,146,147,148,150,148,146,145,146,145,144,144,144,145,147,150,150,150,148,147,147,147,148,145,142,141,143,145,144,141,139,139,142,145,147,148,149,150,152,153,153,150,146,145,146,147,148,149,149,148,146,148,149,148,147,144,140,140,142,140,135,134,134,134,136,138,140,141,143,145,146,145,145,144,142,141,141,140,140,141,143,145,145,144,143,142,140,138,137,137,140,142,142,142,141,141,141,142,143,145,147,147,146,144,146,148,146,145,147,149,150,149,146,144,144,146,148,148,147,146,147,149,150,150,149,148,146,146,147,149,151,152,152,153,154,153,153,156,156,156,155,155,155,155,154,152,151,152,150,150,152,152,151,152,154,155,156,157,158,158,158,157,158,159,159,159,159,160,161,161,162,163,164,163,163,162,160,160,160,157,156,158,157,156,155,155,158,161,162,162,161,161,162,161,158,156,156,157,157,157,158,158,158,158,158,159,160,159,158,159,163,163,161,162,164,164,164,166,167,168,168,169,168,165,163,162,162,161,158,156,157,159,161,161,158,154,152,156,163,167,166,163,161,159,158,158,157,157,157,158,157,155,155,154,153,152,151,149,146,145,144,144,144,145,146,147,146,144,144,143,141,144,150,149,146,143,143,145,146,145,143,142,142,142,144,146,144,142,143,145,146,146,149,150,147,147,150,151,149,146,null],[126,126,124,125,125,124,121,118,115,115,116,116,116,118,118,117,115,113,114,118,122,123,123,123,121,120,118,118,119,118,117,117,119,121,123,126,129,129,128,127,129,131,131,132,133,133,133,133,135,136,136,136,136,134,132,132,133,134,133,132,133,136,138,138,137,137,137,136,137,138,138,139,139,140,140,137,134,133,134,134,134,135,137,137,137,137,139,141,142,142,142,143,143,142,141,142,143,141,139,139,140,141,141,141,141,138,137,140,142,144,143,140,138,137,139,140,140,138,138,137,136,136,136,138,140,142,141,139,140,140,139,137,135,136,137,139,141,142,142,142,143,143,143,143,141,140,141,141,141,142,142,143,143,145,147,145,144,147,147,144,143,144,145,147,149,150,150,149,148,148,150,152,154,155,154,152,152,155,155,155,154,152,151,152,153,152,152,152,153,153,150,144,138,136,136,138,142,145,146,145,145,146,146,148,151,152,151,149,148,148,147,145,144,146,147,148,147,145,144,144,143,142,142,144,145,147,147,147,148,147,145,145,147,147,144,142,141,142,142,141,140,139,139,142,146,151,152,152,152,153,154,153,150,147,146,146,146,146,146,146,145,146,149,150,147,144,141,139,138,139,136,133,132,133,133,136,138,141,143,144,144,143,143,143,142,141,139,138,139,141,143,144,144,144,144,143,141,139,138,137,137,139,142,141,141,140,141,142,143,143,144,145,145,144,143,144,146,146,145,148,149,148,146,144,144,145,147,148,148,147,146,147,149,151,153,152,150,148,147,148,150,151,151,152,154,155,156,157,158,158,158,155,155,156,157,156,154,153,154,153,151,151,151,150,152,156,158,159,160,162,162,162,160,160,161,163,163,162,161,160,160,160,160,160,160,161,160,158,158,158,156,156,158,157,155,154,154,156,159,160,160,160,160,161,159,156,157,159,160,159,158,160,162,163,161,160,160,161,162,160,162,166,165,163,165,169,170,168,165,166,168,170,169,166,162,160,159,160,159,156,156,157,156,158,160,158,154,153,159,166,166,163,161,160,159,158,158,159,160,161,159,155,151,152,153,153,153,151,149,145,143,144,145,144,144,145,147,146,143,145,145,143,147,151,150,145,142,145,149,149,147,145,144,142,141,143,144,144,143,144,146,147,146,147,148,146,144,146,150,150,147,null],[124,124,123,124,124,122,121,121,116,111,108,111,116,118,118,118,117,115,115,120,125,124,121,120,120,120,117,116,117,118,118,118,118,120,121,124,127,127,124,122,124,128,131,132,133,132,132,133,135,136,136,136,135,133,131,131,131,131,130,130,130,133,136,136,136,137,137,137,138,138,139,139,140,141,141,139,136,135,135,135,135,136,137,137,136,136,137,139,141,142,142,145,145,143,142,141,140,139,139,141,143,143,143,144,145,141,138,141,143,143,143,141,139,139,140,140,139,138,136,135,135,137,138,139,141,143,142,140,140,140,140,136,134,135,138,142,142,142,142,143,143,144,145,145,144,142,141,141,141,142,143,145,145,145,146,145,145,147,148,147,145,146,148,149,149,149,150,150,149,150,152,154,155,155,154,155,155,155,156,155,154,152,151,152,151,149,150,151,150,150,149,146,142,138,135,137,142,144,145,145,145,145,145,147,151,151,149,146,146,146,144,143,145,146,146,147,147,145,143,142,142,143,143,144,143,143,142,144,147,147,144,143,144,144,143,142,141,140,140,140,140,141,142,145,149,154,155,153,151,152,153,152,150,149,149,147,144,143,143,144,146,149,150,149,145,142,141,140,139,136,134,132,133,133,133,136,139,142,143,144,143,143,143,143,141,139,137,137,140,142,143,143,143,142,141,141,140,140,140,139,138,139,141,141,140,141,143,144,145,145,144,144,144,143,142,144,145,145,146,147,148,146,144,143,145,146,147,149,149,147,148,149,150,152,155,155,154,151,148,149,152,152,152,154,156,157,159,159,158,158,157,155,154,155,156,157,156,156,155,156,156,154,153,153,155,156,157,158,160,162,164,165,163,163,164,166,166,165,163,161,160,159,158,158,158,157,156,157,157,155,156,158,158,156,154,155,157,158,159,159,157,158,159,159,157,156,157,160,161,159,159,162,166,167,165,162,162,165,168,165,164,168,168,165,166,170,174,171,167,167,170,171,169,165,162,160,159,161,161,160,160,160,156,156,157,156,154,153,159,164,162,159,158,158,156,154,156,159,161,161,158,153,150,151,151,150,149,148,147,144,143,145,146,146,145,144,147,146,145,146,148,148,150,151,148,143,144,147,150,148,145,144,143,142,142,142,142,143,143,145,147,147,145,144,145,144,142,141,144,146,146,null],[122,121,121,124,124,121,121,121,114,107,105,110,117,119,119,119,118,116,116,122,125,121,118,119,119,118,115,113,115,118,119,118,119,120,121,122,124,125,124,121,121,127,131,134,134,133,133,133,134,135,136,135,133,131,131,131,131,130,129,129,129,130,132,133,133,134,135,136,137,139,139,140,142,143,142,139,138,137,136,137,137,136,136,137,138,138,136,138,141,142,143,145,144,143,143,141,138,137,138,142,145,144,143,145,147,144,141,143,144,142,141,141,142,142,141,140,140,139,136,134,134,137,139,140,141,143,142,141,139,140,139,136,133,134,138,142,143,143,143,143,143,143,145,146,145,143,142,143,142,142,144,147,147,145,145,146,147,148,148,148,147,147,148,149,149,149,150,150,151,151,152,153,154,154,155,156,156,155,154,154,154,152,151,150,148,147,149,150,148,145,146,147,146,140,137,138,141,142,142,143,144,143,144,147,149,150,148,146,144,143,142,142,145,146,144,144,145,145,143,141,142,143,144,143,141,140,141,144,147,147,144,142,141,140,141,141,140,139,140,141,142,143,145,148,151,154,154,152,149,150,151,148,148,149,149,147,143,142,143,145,148,151,150,146,143,141,142,142,140,137,134,133,134,133,134,136,140,142,143,143,143,143,143,143,140,137,137,139,142,144,143,142,141,140,139,139,140,142,142,141,140,140,139,140,141,144,145,146,147,147,146,144,143,143,143,143,144,144,145,145,145,145,143,144,145,146,148,150,150,149,149,150,151,153,155,157,157,155,153,152,154,155,156,157,158,159,160,160,158,155,154,153,153,155,155,155,156,156,154,157,159,157,157,157,157,156,156,156,158,161,164,166,165,164,166,167,167,164,164,164,163,160,159,158,156,153,153,157,156,154,155,158,158,155,154,156,159,159,160,158,155,156,158,157,155,155,156,158,158,158,159,162,166,167,166,164,165,169,172,168,165,167,168,168,168,171,176,174,171,172,173,172,167,164,163,163,162,163,164,164,163,161,157,155,155,154,154,154,160,163,159,155,154,154,153,152,154,156,157,157,155,152,150,150,149,147,147,147,147,146,145,145,147,148,147,146,146,147,148,149,150,151,151,150,148,146,147,149,149,146,143,142,142,143,145,144,141,142,142,143,145,145,143,141,141,143,142,138,138,141,143,null],[120,118,120,124,125,122,120,118,111,107,108,111,114,116,117,117,117,116,116,121,123,120,119,120,119,116,115,112,113,118,120,118,118,119,121,121,121,123,123,121,120,122,128,132,133,134,134,134,134,135,135,135,133,133,134,134,133,130,130,130,128,128,130,131,131,131,132,132,134,136,137,139,142,143,143,140,139,137,136,137,138,137,136,138,141,141,138,138,140,141,143,145,143,141,143,142,140,139,139,141,143,144,144,146,147,145,144,145,145,141,138,139,142,141,140,140,141,140,136,133,132,136,139,141,142,143,142,140,140,138,136,134,133,135,138,140,141,143,144,143,143,143,144,145,145,144,144,144,145,144,146,148,147,146,146,147,149,148,148,148,148,147,147,148,150,151,150,150,152,152,152,152,154,155,154,153,153,153,153,154,153,152,149,148,148,149,152,151,148,145,144,145,144,140,137,138,139,139,139,141,142,143,145,146,147,148,149,147,145,143,141,140,143,143,142,142,143,144,144,142,142,143,142,142,143,142,143,145,146,145,143,141,140,139,139,140,139,139,141,143,145,146,147,148,150,152,153,150,147,148,148,145,144,145,145,144,143,144,147,148,150,149,147,145,143,142,142,144,142,139,136,134,133,132,133,136,139,142,142,142,142,142,142,140,138,137,138,141,144,145,143,139,137,138,139,140,141,142,142,141,140,139,138,139,142,145,146,146,147,148,147,145,143,143,143,142,142,144,144,144,144,144,143,144,145,148,150,152,152,150,149,149,151,153,155,156,158,159,159,158,156,157,159,159,160,161,161,160,158,155,153,152,154,155,154,153,155,155,153,154,156,157,158,159,159,158,158,157,157,160,164,167,165,164,166,166,164,162,162,166,166,162,159,157,156,153,153,157,156,153,154,155,155,155,155,156,156,156,158,157,154,155,157,155,154,154,155,156,157,157,158,161,163,164,165,166,168,170,171,169,167,166,167,169,173,175,177,176,176,176,175,170,165,163,164,165,164,161,161,162,162,159,156,155,155,154,155,157,163,165,159,152,152,154,156,155,153,152,152,152,151,150,148,147,147,148,149,150,150,150,149,146,146,149,150,149,147,148,151,153,152,150,150,150,151,151,151,151,149,147,144,143,143,146,150,148,143,141,141,142,143,143,142,140,139,141,141,138,137,138,140,null],[119,118,120,124,126,123,118,114,109,110,112,111,109,113,116,116,116,116,116,118,120,121,121,121,119,117,117,115,114,117,118,116,116,118,119,118,118,120,122,121,118,117,122,127,130,133,135,136,136,136,135,135,135,136,136,135,132,130,131,131,129,128,128,129,130,129,129,130,131,133,135,137,139,141,141,140,138,135,134,136,137,136,136,138,141,142,141,140,141,142,143,145,143,142,144,144,141,139,139,140,141,143,145,147,147,144,143,144,145,142,138,139,141,139,137,139,141,140,136,133,134,137,140,142,142,142,141,140,139,137,133,132,134,137,138,139,141,143,143,142,141,142,142,143,144,145,146,146,146,147,147,147,147,146,146,147,147,147,147,148,149,149,147,147,150,151,150,150,151,152,151,152,155,154,152,150,150,152,153,153,153,152,151,150,151,153,154,152,149,146,144,142,140,139,138,138,137,137,138,140,142,145,146,146,146,148,150,148,146,144,142,140,141,141,140,140,142,143,144,144,143,141,140,141,143,144,144,145,145,144,142,141,141,140,140,140,139,140,142,144,147,148,148,149,149,150,152,151,149,147,145,144,143,142,142,143,144,147,149,150,149,146,144,144,146,145,143,143,142,140,137,134,132,131,132,137,141,143,143,142,142,142,141,139,137,137,139,142,145,145,141,137,135,136,139,141,141,141,140,139,139,139,139,140,142,143,144,145,147,148,148,146,144,143,142,143,143,144,145,145,145,144,144,145,147,150,153,154,154,152,150,150,152,154,155,155,157,159,160,159,158,159,160,160,161,163,161,159,156,154,152,151,153,155,154,152,154,155,153,152,153,155,157,158,159,159,160,160,160,161,164,165,164,163,163,162,159,159,162,167,167,162,158,155,155,153,153,155,155,153,153,153,153,154,155,154,151,151,153,154,154,154,155,153,153,155,156,157,158,158,159,160,160,163,166,167,167,166,167,168,167,167,168,171,176,178,176,176,178,176,174,169,165,163,164,165,163,160,160,159,159,157,155,156,159,158,157,161,166,165,157,152,153,158,160,158,153,149,149,151,152,152,151,147,146,149,152,154,155,155,153,149,147,148,151,152,150,151,154,155,154,151,149,150,152,153,152,152,150,149,148,147,146,148,152,150,145,143,142,143,143,143,143,141,139,139,140,140,140,139,138,null],[118,120,122,125,126,123,116,111,110,112,112,108,106,112,116,116,116,116,115,114,115,121,122,119,117,117,118,117,114,114,113,113,115,117,117,117,117,119,120,120,117,115,118,123,128,130,133,138,139,137,136,136,137,137,136,134,130,128,129,131,130,127,127,127,129,128,129,130,131,132,134,135,136,137,138,137,135,132,131,134,136,136,136,138,139,141,142,143,145,144,143,144,143,144,146,145,141,139,139,140,141,143,145,147,147,142,140,141,144,143,141,141,141,137,134,136,139,138,136,135,139,141,142,143,142,140,139,138,137,135,133,133,135,137,138,139,142,144,143,141,140,140,140,141,143,146,148,148,146,147,148,147,147,147,146,145,145,146,147,149,151,151,149,148,149,149,149,149,150,151,151,152,153,152,151,149,149,150,152,152,152,153,153,152,154,155,154,151,149,146,142,141,140,140,140,139,137,138,140,141,144,146,146,145,146,149,150,148,146,146,145,143,141,141,141,141,140,141,143,145,144,141,138,138,140,142,143,144,146,145,144,142,141,141,141,141,140,141,143,145,147,149,150,151,150,150,153,154,151,146,144,144,145,143,142,144,146,148,148,148,148,145,142,143,148,147,144,141,139,138,135,133,132,131,133,138,143,144,144,144,144,142,140,139,138,139,139,141,143,142,139,137,137,136,138,139,139,138,137,137,139,141,142,141,141,141,143,145,146,147,147,146,144,143,144,145,146,146,147,147,146,145,145,148,151,153,154,156,156,154,153,153,154,155,154,155,156,157,157,157,157,159,160,160,161,163,161,157,155,153,152,151,152,154,154,153,154,155,153,153,153,156,157,158,158,158,160,162,163,163,163,162,162,161,160,156,153,156,163,167,166,161,157,155,154,153,152,153,152,152,154,155,154,153,152,150,148,148,149,151,153,154,154,152,152,155,157,158,159,161,162,160,159,164,167,167,163,161,163,165,167,169,171,173,176,175,172,173,175,172,171,170,166,163,163,163,162,162,162,160,157,155,155,159,164,162,160,163,164,161,154,152,156,161,161,157,152,151,152,153,155,156,155,151,147,148,151,154,156,157,157,154,151,149,151,154,154,154,155,155,154,153,150,149,149,150,151,152,151,150,150,149,148,148,148,147,145,145,145,145,145,145,143,141,140,138,138,141,144,143,139,null],[120,121,122,123,124,122,117,112,112,114,112,107,106,113,117,117,116,117,117,114,113,117,119,117,115,115,117,115,110,108,109,113,115,116,117,118,119,120,121,120,119,118,120,122,124,124,128,136,139,138,136,136,136,135,134,132,130,128,128,129,128,127,126,126,128,130,130,130,131,133,134,135,136,137,137,136,134,131,130,132,134,135,137,139,138,138,140,144,146,145,143,143,144,144,144,143,142,141,141,141,142,143,145,146,145,140,138,141,143,144,143,143,140,136,133,134,135,134,134,136,140,142,142,142,140,137,136,135,134,134,135,137,139,139,139,140,142,144,143,141,139,140,141,141,143,146,148,147,145,146,147,147,147,147,146,145,145,146,147,148,151,152,151,150,149,149,149,149,150,150,151,151,150,151,151,148,148,150,153,152,151,151,151,151,152,154,154,152,150,146,141,140,141,141,140,139,139,141,143,144,145,146,146,145,147,149,149,147,146,148,148,145,142,143,144,142,140,140,142,144,143,141,138,137,138,139,142,145,145,145,145,142,140,141,141,141,141,142,143,146,147,149,151,152,152,153,155,155,151,146,145,147,147,144,143,144,146,146,145,147,148,146,143,143,146,146,143,139,135,133,132,133,133,133,134,139,141,141,142,143,144,141,138,138,138,139,138,138,140,140,138,138,138,138,137,137,138,138,137,137,140,144,145,143,142,142,144,146,147,146,145,144,144,145,146,147,148,148,148,148,146,144,145,149,152,153,154,155,156,155,155,154,154,154,154,155,156,156,155,155,156,157,158,158,159,162,161,157,155,153,152,151,151,152,152,152,152,153,155,155,156,158,158,158,160,161,161,162,163,163,162,159,158,158,157,154,152,158,164,166,165,161,159,157,156,153,152,151,151,153,157,159,157,153,151,150,150,149,149,150,153,154,154,153,152,153,155,156,159,162,164,161,160,162,164,163,162,162,165,166,168,171,173,173,172,170,169,170,172,170,169,167,164,163,164,164,162,163,164,163,160,156,158,162,166,163,160,161,160,158,155,155,158,160,159,156,154,155,156,157,156,156,154,150,147,147,150,153,154,156,158,158,154,151,152,155,155,154,154,153,153,152,150,148,147,148,150,152,152,149,147,147,148,147,145,143,143,144,147,147,146,143,142,141,140,137,138,142,147,146,143,null],[121,120,119,120,122,123,119,115,115,116,114,110,108,113,117,118,117,118,119,115,112,114,115,114,112,111,112,110,107,107,111,115,115,115,118,121,122,122,121,121,122,122,121,121,123,123,127,134,138,138,136,134,133,133,133,133,132,129,126,126,126,127,127,127,129,132,131,130,131,133,134,135,136,137,136,136,136,133,131,132,134,134,137,139,137,136,138,141,144,145,144,142,143,143,142,142,143,143,143,143,142,143,145,145,143,140,139,141,143,144,144,142,139,136,134,132,132,133,134,135,137,139,140,139,137,135,134,134,134,134,137,140,142,142,140,140,142,144,143,140,139,142,144,143,144,145,146,145,143,143,144,145,146,145,144,144,146,146,146,147,149,151,151,150,150,150,150,150,150,150,151,150,149,151,151,148,148,151,154,153,151,148,148,148,150,152,153,152,150,147,143,141,141,140,139,139,141,143,144,145,145,146,145,145,147,148,147,147,148,150,149,147,144,145,146,144,140,140,140,141,141,141,139,138,138,139,144,147,146,144,144,142,140,140,140,142,142,142,145,147,148,148,149,151,153,155,156,154,150,147,147,150,148,144,142,142,143,143,144,147,148,146,144,142,142,142,141,138,133,131,131,134,136,136,136,137,138,137,138,139,141,139,136,136,137,138,137,137,139,140,139,138,139,139,138,137,139,140,140,141,143,147,148,146,145,146,147,148,148,146,143,142,143,145,146,148,149,149,149,148,146,145,146,150,152,151,151,153,155,156,155,154,153,154,155,156,156,155,155,155,154,154,156,156,157,158,159,158,156,153,151,150,150,151,151,150,152,154,156,157,158,159,158,158,160,162,163,162,162,162,160,158,157,156,156,155,155,160,163,163,163,162,162,160,157,153,152,152,153,154,158,160,158,154,152,154,154,152,151,152,154,155,155,154,154,153,153,156,160,161,161,161,160,160,161,162,164,167,170,169,169,171,173,173,170,168,168,170,172,172,169,166,163,164,166,166,163,163,164,164,161,158,160,164,165,162,159,159,158,158,159,159,159,159,158,157,156,157,158,157,153,151,150,147,146,149,152,153,153,154,158,159,157,154,155,157,156,155,155,153,151,150,150,150,148,147,149,151,150,146,143,144,146,146,144,142,142,143,144,145,144,143,143,143,142,140,140,142,145,146,145,null],[119,120,118,118,120,124,122,118,117,118,117,113,110,113,116,117,118,118,117,114,113,113,113,111,109,108,108,107,109,113,116,116,114,114,118,122,122,121,120,119,121,121,118,119,125,128,130,134,136,136,135,133,134,134,134,134,133,130,126,125,125,126,128,129,131,132,131,130,130,131,132,134,134,134,135,136,138,136,133,133,135,135,136,137,137,136,136,138,142,145,144,141,141,142,141,142,144,143,142,143,143,142,143,143,142,140,138,140,142,143,142,139,137,137,136,132,131,134,137,137,135,137,138,136,134,134,134,135,137,137,138,141,143,143,140,139,141,143,142,139,139,142,145,145,143,144,145,144,142,141,141,142,144,144,142,143,145,146,146,146,148,150,150,149,148,149,149,149,149,150,150,150,149,150,149,148,148,150,153,154,151,148,146,146,148,149,149,149,149,148,146,142,139,137,137,139,141,142,144,145,146,145,144,145,147,147,147,147,149,150,149,148,147,147,146,145,143,142,140,138,139,140,139,139,140,142,146,149,147,144,142,141,140,139,140,143,143,144,147,149,149,149,149,151,153,155,154,152,151,150,150,151,149,145,141,139,140,143,146,147,146,144,141,140,139,140,140,137,133,131,132,135,137,136,135,135,136,135,135,136,137,137,136,136,137,138,138,138,139,138,138,138,138,138,138,139,141,144,145,145,146,148,148,148,148,148,149,150,149,146,143,141,142,144,144,146,147,148,147,146,146,147,148,150,151,149,148,151,155,157,155,153,154,156,157,156,155,155,155,153,151,152,154,156,155,155,156,158,157,153,149,149,150,151,150,151,154,156,157,157,157,157,157,157,158,159,160,162,162,160,159,158,158,157,157,157,158,160,161,159,160,161,162,161,157,153,152,154,155,155,156,157,157,155,154,157,157,156,155,157,157,157,156,157,157,156,155,157,160,158,155,157,158,158,160,163,166,169,172,171,169,170,173,174,170,168,171,174,175,175,173,171,168,167,167,166,164,162,162,162,159,158,160,164,165,162,159,160,159,160,162,163,160,159,159,157,157,156,155,153,150,149,148,147,148,152,155,156,156,155,157,159,158,157,157,159,159,159,157,153,150,150,151,151,148,147,148,148,147,144,142,143,144,145,145,144,143,142,142,143,143,145,148,148,145,143,142,141,141,143,145,null],[119,120,119,117,118,124,123,120,118,118,117,113,111,112,113,113,115,117,115,114,113,113,113,112,110,107,108,110,114,118,118,114,113,113,115,116,117,117,117,118,119,119,115,117,126,133,134,134,132,131,132,133,135,135,133,133,132,130,128,126,125,126,128,129,129,130,129,129,128,128,130,132,134,134,135,137,137,135,133,133,136,136,136,135,136,136,135,136,141,144,143,140,138,140,141,142,142,140,140,141,142,142,140,140,139,139,139,139,140,140,140,139,137,137,136,132,133,137,140,139,137,136,135,134,134,136,137,138,141,141,140,139,140,140,139,138,140,141,141,139,140,142,145,144,142,141,143,143,141,140,140,141,143,142,140,141,143,144,144,145,147,149,150,148,146,147,148,147,148,149,149,149,148,148,148,148,149,150,152,152,150,148,146,144,144,146,147,147,147,147,145,141,137,135,136,139,141,142,143,145,146,145,144,146,147,147,147,148,149,149,149,149,149,147,146,145,145,144,140,138,138,139,138,139,142,145,147,148,145,142,141,140,139,139,141,143,145,147,151,152,152,151,151,151,152,152,151,151,151,150,149,149,149,146,142,138,139,143,147,147,144,142,139,138,138,138,138,136,133,132,133,135,136,135,133,133,134,135,136,136,137,137,137,136,137,138,138,138,137,136,135,135,136,136,138,141,143,145,146,146,146,147,147,147,148,148,148,148,148,147,144,141,141,142,143,143,144,144,144,145,146,147,149,151,151,149,147,150,154,156,154,152,153,156,156,154,153,153,152,151,150,151,152,154,154,153,156,158,156,151,149,149,151,151,153,155,156,157,157,157,156,155,156,157,156,156,158,161,161,159,157,157,157,157,157,157,157,158,159,160,158,158,159,160,157,153,152,155,157,156,154,153,154,155,157,157,157,158,160,162,162,160,159,160,161,160,157,155,155,154,153,155,156,155,159,162,164,167,170,169,167,167,169,169,167,169,176,178,176,175,175,175,174,170,167,166,164,163,161,159,157,158,161,165,165,163,161,161,161,162,164,163,158,157,156,154,153,152,150,149,150,150,150,151,151,153,154,156,157,156,156,158,159,159,158,158,160,159,157,153,152,152,152,150,146,145,147,147,145,143,143,145,145,146,147,147,144,143,142,141,144,147,151,150,146,145,144,142,140,141,144,null],[119,119,118,116,117,120,122,121,119,116,113,112,111,111,111,110,111,114,114,113,112,113,115,116,112,109,111,114,117,118,116,112,112,111,111,111,112,114,117,118,117,115,112,116,126,133,135,133,128,125,128,132,135,134,133,132,132,132,131,128,125,125,127,127,126,125,126,127,126,126,127,130,133,135,136,136,133,131,131,132,134,136,137,136,134,134,134,136,140,142,141,138,137,138,140,141,139,138,138,138,140,141,138,136,135,137,139,139,138,137,139,140,138,136,134,133,136,139,141,140,138,135,134,134,136,139,140,140,141,142,141,138,136,136,137,138,139,140,140,140,142,143,144,143,140,139,141,141,141,141,142,142,142,140,139,141,143,143,143,144,147,150,151,148,145,145,147,146,146,147,148,147,147,147,147,148,150,151,151,150,149,149,147,143,142,143,145,146,145,143,141,138,136,136,136,138,141,143,143,144,144,144,144,146,147,147,147,147,147,147,149,150,149,147,146,146,146,144,141,139,139,138,137,139,143,146,145,144,142,140,138,138,138,139,140,142,146,150,152,153,153,153,153,151,150,150,150,151,151,149,146,147,147,145,141,139,139,143,145,145,144,142,141,138,137,136,136,135,132,130,131,133,134,134,133,133,134,135,137,138,139,139,138,138,138,138,137,137,136,135,133,133,134,135,138,141,142,142,142,142,142,143,144,144,144,144,144,144,145,146,145,142,140,141,142,142,141,141,143,145,146,146,148,150,152,151,150,151,153,154,151,150,151,151,150,151,150,149,149,149,150,151,152,152,153,153,157,158,153,149,148,150,152,154,156,157,157,156,157,157,156,154,156,158,155,154,156,159,160,158,155,155,155,155,156,157,157,157,160,163,158,154,154,157,156,153,152,153,156,156,153,151,152,157,159,156,156,158,161,164,164,162,160,162,163,160,156,153,152,153,155,156,155,154,155,158,160,163,167,167,165,165,164,162,163,169,176,177,173,173,174,176,176,171,167,164,164,164,162,159,158,159,162,164,166,166,164,161,161,162,162,159,155,154,153,151,151,151,149,149,151,153,155,155,154,153,152,152,155,157,157,158,158,160,159,157,156,155,154,153,153,154,152,147,144,145,146,147,145,144,145,147,147,147,148,148,145,144,143,141,143,147,150,149,146,146,146,145,143,142,143,null],[114,116,117,117,116,116,118,120,119,114,110,109,111,111,111,110,110,112,113,113,112,114,118,118,116,113,113,114,115,116,115,113,111,111,111,112,113,116,118,118,114,110,110,116,126,132,132,131,125,122,125,129,131,133,132,132,133,134,132,128,125,125,126,125,123,123,124,126,125,123,124,126,129,132,134,133,130,128,128,128,130,133,135,134,133,133,135,137,138,139,138,138,138,139,139,138,137,139,139,138,138,139,139,136,133,135,138,139,139,138,138,138,138,136,134,134,136,140,141,139,136,134,134,134,137,140,141,139,137,138,139,138,137,137,138,140,140,140,141,141,143,144,143,141,139,139,140,140,140,142,143,143,143,141,141,142,144,145,144,145,149,152,151,148,145,145,146,146,146,146,146,146,146,147,149,150,151,152,152,151,150,149,148,147,146,144,143,143,143,141,137,136,138,141,140,139,141,142,142,142,143,143,143,144,146,147,146,144,143,145,148,149,148,147,146,144,144,143,141,140,140,140,139,141,143,144,142,140,139,138,136,137,138,139,140,141,145,149,151,151,152,153,152,149,149,151,152,152,151,148,146,144,142,140,138,137,138,139,141,143,145,146,145,141,136,134,134,133,131,130,130,132,133,135,136,135,134,135,136,137,139,139,138,139,139,139,137,137,138,137,134,133,133,135,137,139,139,138,138,138,138,139,139,140,139,139,140,141,142,144,144,144,143,142,143,143,143,144,146,148,147,146,146,149,153,153,153,154,154,152,149,149,149,148,146,146,147,146,147,149,150,151,152,152,152,153,156,156,152,149,149,151,153,155,156,156,156,157,158,158,156,155,156,157,154,153,156,158,158,156,155,155,155,157,159,160,160,159,160,162,156,151,151,153,155,153,151,151,152,153,152,151,154,159,161,157,154,156,158,160,162,160,160,162,162,160,157,156,156,156,157,159,158,156,154,155,159,163,166,166,164,163,161,160,164,169,172,172,170,171,172,173,174,170,166,163,162,163,163,160,159,159,161,163,165,166,165,162,160,160,158,155,153,153,153,152,154,156,154,150,151,154,157,157,157,156,152,150,151,156,160,158,157,159,159,156,152,151,152,151,151,151,150,148,147,147,146,146,146,146,148,149,149,149,149,147,144,143,142,142,143,146,149,149,149,148,147,146,146,146,144,null],[110,111,113,115,113,111,112,116,117,114,109,109,112,114,115,114,111,112,113,113,113,115,118,118,117,115,113,112,112,114,116,116,114,113,114,114,114,117,119,117,112,109,111,117,127,131,132,130,126,124,125,127,128,130,131,131,132,134,132,128,124,124,125,124,123,123,126,127,124,123,124,125,126,128,130,129,129,128,128,126,126,129,132,132,132,134,136,139,139,138,137,137,138,138,137,136,137,140,141,139,137,138,139,136,133,135,138,141,142,141,138,135,135,135,134,134,136,139,140,137,134,134,135,135,137,140,140,137,134,134,136,138,139,139,140,142,143,143,143,143,142,143,142,140,139,139,139,139,140,143,144,144,144,144,144,145,146,146,146,148,152,153,151,148,147,146,146,147,146,145,144,145,146,149,151,151,152,153,153,152,151,150,150,151,149,145,140,139,141,140,137,136,140,145,144,141,140,140,141,141,142,142,142,143,145,146,145,143,142,143,145,146,146,146,145,142,141,141,140,140,140,141,142,143,144,143,141,139,138,136,136,137,139,139,139,141,145,147,148,149,151,152,150,148,149,153,154,153,150,148,145,142,140,138,137,136,136,137,140,143,146,147,147,142,136,133,132,131,131,131,131,132,135,138,140,139,137,136,136,136,137,138,138,139,140,139,138,139,141,140,136,134,134,136,137,136,137,137,137,136,136,137,137,137,137,137,140,141,141,142,144,146,147,145,145,145,146,148,150,149,148,147,147,150,154,155,154,156,155,152,150,150,150,149,147,146,146,145,147,149,150,151,151,152,153,152,154,154,150,147,148,150,152,154,154,153,155,157,157,155,154,155,155,155,152,153,158,158,156,154,155,157,159,160,162,163,163,160,158,158,154,150,149,151,153,153,152,151,151,152,152,152,155,159,161,159,156,155,155,157,159,160,160,161,161,159,159,161,162,160,158,159,161,159,156,157,162,165,165,165,163,161,161,164,166,167,166,166,168,171,172,172,172,170,167,165,164,163,162,160,159,159,162,164,164,166,165,161,158,157,155,154,154,155,155,154,156,158,156,152,151,153,158,159,158,157,153,149,149,155,161,160,157,157,156,154,150,149,151,150,148,147,148,150,151,151,149,146,146,148,150,150,150,149,148,147,144,141,141,144,145,146,148,151,152,150,146,145,148,150,147,null],[108,108,108,110,109,107,107,109,113,113,111,111,114,117,118,118,114,113,114,114,113,114,115,116,116,116,113,113,114,115,117,117,117,116,114,113,112,114,115,114,114,114,115,118,123,130,133,130,128,128,127,127,127,128,129,129,130,132,132,128,123,122,124,124,124,125,127,127,126,126,128,128,127,128,129,129,130,130,130,127,125,128,131,131,132,135,138,140,141,138,136,136,136,136,135,135,137,140,140,138,137,137,136,135,135,137,139,143,144,143,137,133,132,132,133,135,137,138,138,136,134,135,137,137,138,139,137,135,135,136,137,139,140,139,140,142,143,144,145,143,141,140,139,139,138,138,139,139,140,142,144,144,144,146,147,147,147,147,147,150,152,151,149,148,148,147,147,146,145,143,143,145,148,150,150,150,151,153,154,153,152,151,151,150,147,143,140,139,140,140,138,137,141,146,146,141,138,139,140,141,142,144,144,144,145,146,145,144,143,142,141,142,144,145,144,141,140,140,141,140,140,141,143,144,144,144,143,141,138,136,137,139,140,140,140,143,146,147,147,149,151,150,149,148,149,152,153,152,150,147,145,144,143,141,137,135,136,139,142,144,145,145,144,141,136,133,132,131,132,133,133,135,139,142,143,142,140,139,138,136,136,136,137,139,141,141,140,142,145,143,139,135,136,138,137,136,137,139,139,139,139,139,139,139,139,141,143,143,141,141,143,147,149,148,146,145,146,149,151,150,149,149,150,153,155,156,155,155,154,154,153,153,153,152,150,148,147,146,148,149,150,151,151,151,151,151,152,151,148,146,146,149,151,153,152,152,155,156,154,151,151,154,154,153,152,154,159,158,154,153,155,159,161,162,162,163,163,159,156,153,151,149,148,149,150,151,152,154,154,155,156,155,154,156,159,160,159,156,156,158,160,163,163,162,160,159,161,162,163,161,158,158,159,160,160,162,165,165,163,162,162,161,163,165,166,164,163,165,169,173,175,175,173,172,170,170,169,165,161,159,159,162,167,167,163,165,164,160,158,157,155,156,157,158,157,155,155,155,153,151,151,155,159,160,157,153,150,148,149,154,159,162,159,154,151,150,149,148,149,148,147,146,146,148,152,154,151,148,146,148,151,151,150,148,147,146,144,142,144,147,148,147,148,152,154,151,146,144,148,151,150,null],[106,105,106,106,105,105,105,106,109,112,114,116,117,118,118,118,116,115,115,113,111,110,110,113,116,117,117,118,120,119,118,117,117,116,113,111,111,111,111,113,117,120,119,117,119,127,131,130,129,129,129,129,130,129,127,127,129,130,129,126,123,123,123,123,123,124,125,126,128,130,132,133,132,132,133,134,134,133,132,130,128,130,132,132,132,134,136,140,141,140,137,135,134,134,134,135,137,137,136,136,136,136,133,134,136,137,139,142,143,141,137,133,131,131,132,134,137,138,136,133,134,136,137,138,138,137,137,137,138,139,140,140,141,141,141,142,143,143,142,141,139,138,138,138,138,140,141,141,141,142,143,143,144,147,149,149,147,146,148,150,149,148,148,149,148,146,145,144,143,143,144,147,149,150,149,149,151,153,153,151,150,149,148,146,145,145,144,143,141,140,139,140,143,145,144,141,139,140,141,141,143,146,146,145,145,146,146,147,146,143,141,140,142,143,141,139,140,142,142,140,139,141,142,143,143,143,144,143,139,137,138,140,140,140,143,146,148,148,148,150,151,149,146,145,147,149,150,151,150,148,147,147,148,144,138,134,137,142,145,145,143,140,138,138,136,134,132,132,132,134,136,140,145,145,143,142,143,143,142,140,139,138,139,140,142,144,145,146,147,146,143,140,140,141,141,139,139,140,141,142,143,141,141,141,144,147,147,145,143,141,142,145,147,147,145,145,146,149,151,150,149,150,151,153,155,155,154,154,154,155,155,153,153,152,151,149,147,147,147,149,150,151,151,150,150,150,151,150,148,145,146,148,150,153,153,153,153,152,151,151,152,152,152,152,153,156,157,155,153,154,157,159,160,160,160,161,160,156,152,150,150,149,149,148,149,151,153,156,157,157,158,158,157,156,158,160,160,159,158,159,163,165,165,164,163,164,162,160,161,161,161,158,156,158,160,163,163,162,160,160,161,162,163,163,161,161,163,168,172,173,174,175,173,173,173,173,170,165,162,161,161,164,169,168,162,161,160,158,157,156,156,158,160,159,157,156,155,153,152,153,155,159,160,158,154,150,149,149,150,153,158,162,160,153,150,150,150,150,149,149,149,149,146,146,151,154,152,148,147,148,152,152,151,149,147,145,144,144,147,150,150,148,150,153,154,151,147,147,148,149,150,null],[105,104,106,104,104,106,106,106,107,111,115,118,118,117,117,117,117,115,114,112,111,108,108,112,115,116,118,121,123,121,118,116,115,115,112,111,110,109,109,113,119,121,121,117,117,122,127,128,128,128,128,130,131,130,126,125,127,129,126,122,122,124,123,123,122,123,123,125,129,132,132,134,135,136,137,138,137,134,133,130,130,131,133,133,132,133,135,138,140,140,138,136,133,133,135,137,136,134,133,133,135,134,132,132,136,137,138,140,140,139,137,135,132,131,130,132,136,139,135,132,133,136,137,138,137,136,138,139,140,141,142,142,143,143,142,141,142,141,138,137,138,138,138,138,140,142,143,143,142,142,142,142,144,147,149,148,146,146,147,147,147,147,149,148,146,144,143,143,143,144,147,148,149,148,148,149,151,153,152,150,149,147,146,146,146,147,149,147,144,140,139,141,143,143,142,141,140,141,142,142,144,147,148,147,145,146,148,149,148,145,142,142,142,142,140,138,140,142,142,140,139,139,141,141,141,141,143,144,140,137,138,139,140,142,145,147,149,149,148,149,149,147,144,143,145,148,148,148,149,148,148,149,149,144,137,134,137,141,144,145,142,137,136,136,135,133,132,132,132,134,139,145,147,145,142,143,145,145,145,143,142,141,141,141,142,146,148,149,148,148,148,145,144,144,143,142,140,140,141,143,144,144,143,143,147,149,148,146,145,142,142,143,145,144,144,145,147,151,152,151,150,150,151,152,153,152,152,152,152,153,153,151,149,149,148,147,146,147,147,147,148,151,151,148,147,148,150,149,147,146,147,148,150,153,154,153,150,148,150,153,153,151,149,150,153,155,153,153,154,157,158,158,157,157,158,158,156,153,150,148,148,149,149,149,150,151,154,157,158,159,159,160,160,159,158,160,160,160,160,160,163,165,166,166,167,167,162,157,158,161,163,160,156,156,159,161,160,159,160,160,161,164,163,159,158,160,164,169,171,169,168,171,171,173,174,172,168,164,164,166,165,165,167,166,161,157,157,158,158,157,158,160,161,159,158,159,157,153,152,155,160,163,160,155,151,151,151,151,151,154,159,161,159,154,153,154,153,151,149,151,153,152,149,148,151,152,150,148,149,151,151,151,151,150,148,145,143,145,148,150,150,149,151,154,153,150,149,150,149,147,149,null],[104,104,105,104,103,104,105,106,107,110,114,117,116,115,116,117,116,114,112,111,111,109,110,114,114,112,112,117,122,120,115,114,115,115,114,112,110,109,111,114,118,120,120,118,117,119,123,126,126,127,128,129,129,128,125,124,125,126,123,120,121,123,124,124,124,126,125,125,127,129,130,132,133,135,136,136,135,132,131,129,128,128,132,135,133,132,135,136,137,139,140,138,134,133,137,138,136,133,131,132,133,134,133,133,135,137,138,139,139,139,139,137,134,130,129,130,135,139,136,132,133,135,136,136,135,136,138,140,142,142,143,143,143,143,143,141,141,139,137,136,138,140,140,140,142,143,143,143,143,142,142,142,143,146,148,147,145,145,145,145,146,148,149,147,145,145,144,143,144,146,147,146,145,147,149,150,151,152,152,151,151,149,149,149,148,148,149,148,145,140,138,138,140,141,141,140,140,140,141,142,144,146,147,147,146,146,147,148,147,146,144,143,143,142,141,139,137,137,138,139,139,138,139,139,139,140,142,143,139,136,135,138,140,143,144,146,148,148,146,145,146,145,143,144,147,150,148,146,146,144,145,147,146,143,137,135,136,139,142,144,143,140,138,135,133,131,131,131,131,134,140,146,146,143,140,142,144,144,144,143,142,142,142,142,143,145,148,150,149,149,150,149,147,145,144,144,142,139,139,142,145,146,146,146,147,148,147,147,146,143,142,144,145,144,144,147,151,152,152,150,149,149,150,151,151,149,148,148,149,149,149,148,146,146,146,146,146,147,146,146,146,148,149,146,144,146,148,147,146,146,148,149,151,151,152,150,148,148,151,153,152,150,149,149,150,152,152,154,156,159,159,157,156,157,156,156,154,151,148,148,147,147,150,152,152,153,155,157,159,160,160,160,161,158,157,159,160,159,160,161,162,163,165,167,168,167,162,157,156,160,163,162,159,159,161,161,159,159,162,161,161,165,164,160,159,160,163,165,166,163,163,167,169,172,175,172,166,163,165,168,167,165,166,163,159,156,158,161,162,159,160,161,161,160,161,162,158,152,152,157,162,162,158,152,151,153,154,154,155,157,159,159,157,156,158,158,155,151,149,152,155,153,152,152,152,150,149,150,152,153,150,147,148,149,149,145,143,144,146,148,148,149,152,154,153,151,151,152,150,149,151,null],[103,104,104,102,102,103,104,105,107,110,112,113,112,113,115,117,115,111,109,109,109,108,112,117,115,110,108,112,118,116,112,113,114,116,116,113,110,111,114,116,117,117,117,118,120,121,122,123,123,125,127,128,128,126,124,123,124,124,121,120,122,124,126,128,129,131,129,126,125,127,131,131,131,133,135,135,133,131,130,129,127,126,130,134,133,132,135,136,136,138,141,140,136,134,136,137,136,134,132,131,132,134,135,135,136,138,139,137,138,139,139,137,133,130,129,131,135,138,135,132,132,134,135,133,134,136,138,140,142,142,142,142,142,143,142,141,139,137,137,138,139,141,142,143,144,144,142,143,144,145,145,143,143,144,146,146,144,143,143,143,146,149,148,146,145,146,145,143,143,145,146,144,143,145,148,150,151,150,150,151,152,152,150,149,148,146,145,145,142,139,137,136,138,139,140,139,138,139,141,143,144,145,146,147,147,147,147,146,145,144,144,143,143,142,142,139,136,134,135,138,140,140,140,140,140,141,142,141,138,135,135,138,141,141,141,142,145,145,142,142,144,145,145,147,149,150,149,147,143,140,141,145,145,142,138,136,135,136,139,141,142,139,137,133,130,130,131,131,132,134,139,143,143,141,139,140,141,140,141,142,142,142,142,142,142,143,145,148,149,150,151,151,148,145,145,145,143,140,138,140,145,149,149,148,148,148,148,147,145,143,144,146,147,147,147,149,153,153,151,149,148,147,148,150,150,148,145,145,145,145,146,145,144,144,145,146,147,148,147,146,146,146,146,145,145,147,148,146,145,145,147,149,149,148,148,148,149,151,152,151,148,150,151,150,148,149,152,156,157,157,156,156,158,159,156,155,153,149,149,149,149,149,153,156,156,156,157,158,158,159,159,158,158,157,156,158,158,158,160,160,161,162,165,168,168,167,164,160,158,161,164,165,164,163,162,160,159,160,162,162,161,165,166,164,163,162,161,162,164,164,165,167,171,173,175,172,169,166,165,165,166,166,166,161,158,159,162,165,164,161,161,161,161,161,161,161,157,153,155,159,160,159,156,154,153,155,156,157,159,160,159,157,156,156,157,157,155,151,150,152,154,153,154,155,153,150,150,151,154,153,149,145,144,146,148,146,144,144,145,146,146,147,151,154,154,153,153,153,152,151,152,null],[103,103,102,100,101,103,104,105,107,109,110,108,107,110,114,115,114,110,106,106,107,109,114,120,119,114,111,113,115,114,112,112,115,117,116,113,111,112,117,119,119,116,114,117,123,124,121,121,121,123,127,129,128,125,124,123,123,123,121,122,125,128,129,130,132,132,130,127,125,129,135,135,132,133,134,134,134,132,131,130,128,126,127,131,133,133,134,136,137,139,140,140,137,135,135,135,136,134,132,132,132,134,137,137,136,138,139,136,136,139,137,134,132,131,133,135,136,135,133,131,132,133,133,133,133,134,137,139,140,140,140,139,140,141,141,139,137,137,139,141,141,141,142,144,146,145,144,144,146,148,148,146,143,142,145,145,144,143,142,143,146,147,146,144,144,144,143,142,141,143,144,145,145,145,147,149,150,149,147,149,152,152,149,146,145,144,143,141,140,138,137,138,138,139,139,138,138,139,141,142,142,143,145,147,148,148,147,144,142,142,142,142,141,140,140,140,138,135,135,138,142,143,142,142,143,144,143,141,139,137,136,139,141,138,137,139,141,142,140,141,143,145,148,150,149,148,149,147,143,139,139,144,144,141,140,137,134,133,136,137,137,135,133,131,130,131,132,132,133,135,137,139,139,138,137,138,138,137,139,142,143,142,142,141,141,142,143,145,147,149,150,150,149,147,146,145,144,141,139,142,147,150,150,149,150,150,149,148,146,145,146,148,150,149,149,150,152,152,151,149,148,146,146,148,148,147,145,144,143,143,144,145,146,146,145,145,147,149,149,148,147,147,146,146,148,151,149,146,145,145,146,147,146,146,146,148,151,153,153,149,146,149,154,155,151,149,153,156,157,155,154,155,158,160,158,154,151,149,149,151,152,154,157,159,159,159,158,157,156,156,156,155,154,156,157,156,156,159,160,160,161,163,165,166,167,168,166,163,162,164,167,168,167,164,161,159,160,161,162,162,163,164,167,167,166,164,162,163,166,169,169,169,173,174,173,172,171,169,166,164,164,165,164,160,159,162,166,166,163,160,159,159,160,159,158,157,155,155,158,159,157,156,157,158,158,157,157,159,163,162,158,156,156,154,154,154,153,152,151,152,153,154,154,154,153,153,153,152,153,152,148,145,144,144,147,147,146,146,146,146,145,146,149,152,155,155,155,155,153,152,153,null],[106,103,101,99,101,104,106,107,108,108,106,102,102,108,113,114,114,110,106,105,107,113,118,121,120,118,116,116,117,117,114,113,116,118,118,116,114,115,119,122,120,117,117,121,125,123,120,120,121,124,128,129,127,125,123,122,122,122,123,125,128,129,128,127,127,129,128,128,129,135,139,138,135,133,132,132,133,132,132,130,128,126,127,129,132,134,136,137,138,140,141,139,137,136,134,134,134,132,131,131,133,136,138,136,135,136,137,135,136,138,135,131,131,133,136,138,136,133,130,130,132,133,134,136,136,134,135,136,137,137,137,136,136,138,140,139,139,140,141,142,142,141,141,144,147,147,146,145,146,148,148,146,142,141,143,144,144,143,143,144,145,144,142,142,143,143,142,141,141,142,144,146,148,147,147,148,150,150,147,148,152,153,150,147,145,145,144,143,142,140,140,141,141,139,139,139,140,141,142,141,141,142,144,146,147,148,147,144,143,144,144,142,140,139,139,140,140,139,137,137,140,142,142,142,144,144,142,140,138,136,136,138,139,137,135,136,138,139,140,141,143,146,149,151,149,145,143,144,143,140,138,140,141,142,142,140,135,133,133,134,133,131,131,132,133,133,132,133,135,136,135,134,135,136,136,138,138,137,139,143,145,145,144,142,142,143,143,143,144,146,147,148,148,148,148,147,144,141,141,145,149,150,150,150,151,152,151,150,148,148,148,150,150,150,150,149,149,150,151,150,148,147,146,146,146,146,146,146,145,144,143,146,149,149,146,145,146,148,148,147,148,149,149,149,150,152,150,147,147,147,147,147,146,146,148,149,151,153,154,150,147,149,154,157,154,152,154,155,155,155,154,155,157,159,158,153,149,148,150,152,154,155,156,158,160,160,157,155,155,155,156,155,154,157,157,155,156,160,161,161,162,163,163,164,165,167,166,165,164,167,168,167,165,164,162,161,163,164,163,164,165,165,168,170,167,164,164,164,165,169,169,167,169,170,170,170,171,170,169,167,165,163,161,161,162,165,167,164,161,158,157,158,158,157,155,155,156,158,159,157,155,157,160,162,161,160,159,161,165,163,158,158,158,154,153,154,154,153,152,154,157,157,154,154,155,156,155,152,150,150,148,145,145,146,146,147,148,150,150,149,147,148,150,151,152,154,156,157,155,153,151,null],[109,104,102,101,102,105,108,110,110,107,101,97,99,105,112,114,113,109,106,106,110,116,118,117,117,118,117,117,117,119,118,116,117,119,120,120,120,119,121,122,121,120,121,123,122,119,118,119,123,127,129,128,126,123,122,120,120,120,123,126,127,126,123,119,120,126,129,130,135,139,140,139,136,133,130,129,131,132,131,129,128,128,129,130,132,135,138,138,138,140,141,139,137,137,136,135,133,131,130,130,134,137,136,134,133,134,135,135,136,137,133,130,130,134,137,138,135,131,129,130,132,133,134,137,139,136,134,133,134,135,134,134,134,136,137,139,141,142,141,141,141,140,141,143,146,146,146,145,145,147,146,143,142,141,141,143,144,143,144,145,144,141,139,140,142,143,143,143,143,143,145,147,148,148,149,150,151,150,147,147,151,153,152,150,147,146,147,147,145,143,142,142,141,138,138,140,142,143,142,141,141,142,143,146,147,147,146,145,146,147,146,143,141,140,139,140,141,141,138,136,137,139,140,141,142,142,141,139,136,135,136,137,137,137,137,137,138,139,141,142,144,145,148,149,147,141,138,138,141,140,138,137,138,141,143,142,137,133,132,132,132,131,132,134,135,133,132,134,136,137,134,133,135,137,138,140,141,140,141,143,146,147,147,145,144,144,144,145,146,146,146,147,149,149,149,147,144,142,143,147,149,148,148,149,151,152,152,151,150,149,149,149,150,150,150,148,147,148,150,150,149,148,146,144,145,146,147,148,147,145,145,148,151,150,147,145,145,146,147,146,148,150,152,152,152,152,150,148,149,151,151,149,148,150,152,152,152,154,156,153,151,150,152,155,155,155,155,155,154,157,157,157,158,158,156,152,148,148,149,151,153,153,153,157,160,159,155,153,153,156,157,157,157,159,158,156,156,159,161,161,162,161,161,162,165,167,166,166,166,167,166,163,162,165,165,164,166,167,167,168,168,168,171,171,167,165,166,164,163,165,167,166,166,167,167,168,169,170,170,170,167,164,162,163,165,165,164,161,159,157,157,158,159,157,155,155,157,159,158,157,157,160,162,162,162,163,161,161,163,162,159,159,159,155,155,157,156,153,153,156,160,159,156,155,157,158,155,151,149,150,148,146,147,148,147,147,149,152,152,150,150,151,152,152,151,152,155,157,156,153,150,null],[109,105,105,104,104,105,108,111,110,105,98,95,97,101,108,113,112,109,108,109,112,115,114,111,111,114,114,113,113,118,120,119,119,119,121,123,124,123,122,122,122,122,122,120,117,117,119,120,123,128,129,127,124,120,119,117,117,119,122,124,124,123,120,115,117,126,131,132,136,137,136,135,134,134,130,127,129,130,129,128,129,130,131,132,134,136,138,136,135,137,140,141,140,138,137,137,135,133,131,130,133,136,135,133,132,133,135,136,136,135,132,129,129,133,137,138,134,130,129,131,133,133,134,136,139,139,135,133,133,133,134,135,136,135,136,138,140,140,138,138,140,141,141,142,143,144,144,145,145,146,144,141,141,141,141,142,143,144,145,144,141,138,138,140,142,144,145,146,147,147,147,146,146,147,149,152,152,149,145,146,150,152,152,150,147,146,148,149,147,143,141,140,138,136,136,138,140,142,142,142,141,142,145,147,148,146,145,147,148,147,145,144,142,141,141,141,141,140,138,135,135,137,138,139,140,140,139,138,135,135,136,136,136,138,140,141,142,143,143,144,144,144,144,144,143,139,135,134,136,138,137,137,138,140,141,140,136,131,129,130,132,132,133,133,133,132,133,135,137,137,134,135,140,143,143,144,144,144,143,143,146,148,148,147,145,144,145,148,150,149,148,148,150,149,147,145,143,143,144,146,146,145,145,148,149,150,150,150,148,148,148,148,148,148,149,147,145,146,148,150,150,147,144,143,144,147,149,149,149,148,148,150,151,149,147,147,147,147,147,148,149,151,154,154,155,154,152,151,153,155,154,152,151,153,155,155,155,156,158,156,153,151,150,151,151,153,155,155,155,158,159,159,160,160,155,151,149,148,149,149,149,151,154,156,157,155,154,153,153,155,157,158,159,161,160,158,157,159,160,160,160,160,162,164,166,167,167,166,166,165,162,161,163,167,167,167,168,169,170,170,170,171,173,172,168,167,170,168,164,164,166,168,168,167,166,167,170,169,168,169,169,169,168,166,163,162,161,160,159,160,161,162,161,158,155,156,159,160,158,158,161,161,160,159,161,163,161,159,160,160,158,158,156,155,157,159,157,154,154,155,157,159,158,157,158,157,153,151,151,151,148,147,149,150,150,147,147,150,151,150,150,152,154,153,151,151,153,155,154,151,149,null],[106,106,108,106,104,104,105,108,109,105,99,96,98,101,106,110,110,110,112,113,114,114,114,111,109,110,111,111,112,117,120,120,119,119,122,124,125,124,121,120,121,121,119,116,114,117,120,121,122,127,127,125,122,118,117,117,118,120,123,124,125,124,122,120,121,127,131,133,134,134,132,131,131,133,132,128,127,127,127,128,130,131,133,135,135,135,136,133,131,134,139,141,139,138,138,138,136,135,133,131,132,134,135,133,131,132,134,136,135,134,130,128,128,133,137,136,133,130,129,132,135,136,136,136,139,140,138,135,134,133,134,137,139,137,136,137,138,138,138,138,139,141,142,143,142,143,144,144,145,145,144,142,140,139,140,142,144,144,143,142,139,137,139,142,144,145,146,148,148,147,146,145,143,146,149,151,150,147,144,145,149,151,149,148,146,146,148,149,146,142,140,139,137,136,136,137,138,140,141,141,141,143,146,148,147,146,146,148,148,146,144,143,143,142,141,139,138,138,137,136,135,136,137,138,139,140,140,139,137,136,137,137,138,140,142,144,145,146,145,143,142,140,140,139,138,137,135,134,134,135,136,136,136,137,137,136,133,129,127,129,131,132,131,131,132,132,133,134,136,137,136,138,142,145,145,146,147,146,143,142,145,148,148,148,147,145,147,150,152,151,150,149,150,149,146,143,143,144,145,146,145,144,144,145,147,148,149,148,146,146,146,145,145,145,146,145,145,145,147,149,148,145,143,142,145,148,150,151,150,150,152,152,150,148,148,150,150,148,148,150,151,152,152,154,155,155,153,152,155,156,154,152,152,154,155,155,156,157,158,157,155,152,149,147,148,149,151,152,153,156,158,159,159,159,154,150,149,149,150,150,152,155,156,155,153,152,153,154,154,153,154,156,160,162,162,161,160,162,162,161,160,161,165,167,167,165,164,164,164,162,160,160,163,167,167,165,167,168,168,168,170,173,174,172,169,170,174,171,164,164,167,170,172,170,167,169,172,169,167,169,170,172,171,168,163,162,161,160,162,165,166,164,161,158,157,159,161,162,160,160,163,162,158,158,159,162,161,160,161,161,159,158,156,156,158,159,157,156,156,155,155,158,159,158,156,152,149,151,153,153,150,149,149,150,150,148,147,148,150,150,150,152,154,154,152,152,152,153,152,149,148,null],[102,105,109,107,103,102,102,104,106,105,102,99,99,103,105,107,109,112,116,117,116,116,116,116,112,110,112,114,115,118,119,118,117,118,122,123,123,122,121,119,119,119,116,114,115,117,121,121,122,124,123,121,119,117,117,119,122,124,126,127,129,129,129,128,128,128,130,133,134,134,132,130,130,133,133,130,126,124,126,129,131,130,132,136,136,134,133,130,130,133,137,138,137,137,137,137,136,136,134,132,132,134,135,133,130,131,134,135,134,133,129,127,129,134,136,134,130,130,131,134,137,139,139,138,139,141,140,138,135,134,135,138,141,140,138,136,136,137,139,139,138,139,142,144,144,143,144,144,146,146,145,143,140,138,139,142,143,142,141,140,139,139,140,143,145,146,147,146,146,146,145,144,144,146,148,149,149,148,146,146,148,149,147,145,144,145,147,146,143,141,140,138,136,136,136,136,136,138,140,142,143,144,146,147,146,145,147,148,147,145,143,143,142,142,140,138,137,137,138,137,135,135,137,139,140,141,141,139,138,136,137,138,140,141,143,145,146,147,146,143,138,137,137,136,135,136,137,136,135,135,135,134,133,133,134,133,130,128,127,129,130,130,130,131,131,132,133,135,137,138,140,141,142,143,144,146,147,146,144,142,145,148,149,149,148,147,149,150,150,150,151,151,150,149,147,146,145,146,148,148,147,146,144,144,146,149,149,148,147,147,146,144,143,143,144,144,145,147,147,147,145,143,143,143,145,148,150,151,151,152,154,152,150,150,153,154,153,151,150,152,154,152,150,150,152,153,153,153,154,154,152,151,152,153,154,154,155,155,154,154,155,152,149,146,145,146,147,149,150,154,156,156,157,155,152,150,149,149,151,153,157,158,155,152,152,151,154,156,156,153,152,155,160,162,163,162,163,166,165,163,161,164,168,169,166,162,160,161,161,161,160,159,161,165,165,163,164,165,164,164,168,173,173,170,168,170,174,171,165,164,167,171,174,173,170,171,173,169,168,170,171,171,170,167,165,164,163,163,166,168,167,163,159,158,160,161,162,163,162,162,162,162,160,160,159,160,161,163,164,165,163,161,159,158,159,159,157,157,158,157,157,159,160,158,153,149,149,152,154,154,152,151,150,149,149,149,149,148,149,150,149,149,153,155,154,154,154,153,151,149,149,null],[101,104,109,109,105,102,100,101,102,104,106,105,103,103,103,104,107,111,114,117,118,117,116,116,114,113,116,117,118,119,118,115,113,115,120,122,121,121,121,118,117,118,117,116,115,117,120,122,122,120,118,117,118,119,120,123,126,127,127,128,132,133,132,132,131,130,131,133,135,136,134,132,131,132,132,130,127,126,128,131,131,130,132,136,137,134,131,131,132,132,133,136,137,137,134,135,137,136,133,131,133,135,135,133,130,131,133,134,133,132,130,130,132,135,135,131,129,131,133,135,138,139,139,139,140,142,142,141,137,135,137,140,141,141,140,137,136,137,140,139,138,137,140,144,143,142,143,145,147,147,144,142,139,139,140,142,141,140,139,141,141,141,142,143,145,145,144,143,143,144,145,146,145,146,148,150,150,150,149,148,148,147,146,145,143,143,143,142,141,139,138,137,135,134,135,136,138,139,141,144,145,146,146,146,144,144,146,146,145,145,143,142,142,142,140,138,137,138,137,135,134,135,137,139,141,141,139,137,136,136,136,138,141,142,143,145,146,147,147,142,137,135,135,134,135,136,138,137,136,135,134,132,131,131,133,134,132,130,129,129,130,131,132,131,131,132,136,137,139,140,142,144,145,145,145,146,147,146,146,146,147,149,149,149,149,150,151,151,148,148,150,151,150,148,149,149,148,148,149,149,149,148,147,146,148,150,150,150,149,148,147,146,144,142,143,144,146,147,146,145,144,143,142,142,143,146,149,150,150,151,153,152,152,154,158,159,157,154,154,155,154,151,147,146,148,150,152,152,151,150,149,150,151,152,154,154,155,152,148,149,153,153,151,147,145,145,148,151,151,152,154,156,155,152,150,149,148,149,150,152,156,157,153,152,154,155,156,157,158,157,155,156,160,163,163,161,163,168,166,163,163,166,169,169,167,162,159,159,160,161,160,158,158,161,163,163,164,163,163,164,167,171,171,168,166,169,173,171,167,166,168,171,174,174,173,173,173,170,170,171,172,172,169,166,164,165,166,164,165,166,165,161,158,159,162,162,163,163,164,163,163,163,165,165,164,161,163,165,166,168,167,164,160,160,161,161,159,159,161,160,159,160,160,158,153,151,152,155,156,154,151,150,149,149,149,149,150,148,149,151,148,148,153,158,158,159,156,153,149,148,150,null],[102,104,110,112,110,106,103,102,102,104,109,111,108,105,102,103,105,108,111,114,116,116,115,116,116,117,117,119,120,119,117,114,113,115,120,121,119,120,119,117,116,118,120,119,115,116,120,123,122,119,117,117,119,121,123,126,127,128,127,129,133,135,133,133,133,132,133,134,135,136,136,134,132,130,130,129,128,129,131,132,132,131,132,135,136,133,130,130,131,132,134,136,138,135,131,133,136,135,131,130,133,135,133,131,129,131,132,132,132,132,132,132,133,135,134,131,130,131,133,135,136,136,136,138,140,142,142,141,138,137,138,141,142,141,140,138,137,138,140,140,138,137,138,141,143,143,143,147,149,147,143,141,140,140,140,141,141,140,140,142,143,143,142,143,143,142,142,142,142,143,146,147,146,147,148,150,149,148,148,148,146,145,146,146,143,139,139,140,140,138,137,137,135,134,135,138,140,142,143,145,146,145,144,144,143,143,144,144,143,144,141,139,141,143,141,139,137,138,136,133,132,133,136,140,142,141,137,134,135,135,134,136,138,140,142,143,144,146,146,142,137,135,134,134,135,136,137,137,136,135,133,132,130,130,133,135,134,132,130,129,130,131,132,132,132,134,138,140,140,139,141,145,148,149,148,148,148,148,148,149,149,150,151,151,151,151,152,150,147,146,149,151,150,148,149,150,150,149,150,150,150,149,149,149,150,150,149,149,150,147,146,146,144,143,143,145,146,146,145,143,142,142,143,143,144,145,147,149,149,150,151,151,153,158,161,161,158,156,156,155,151,149,147,144,144,147,150,150,150,149,148,150,151,151,152,154,154,150,145,146,151,153,152,148,146,147,150,152,153,151,152,155,154,151,149,149,149,150,150,150,151,152,149,151,155,158,158,157,159,162,161,160,160,161,161,159,163,167,164,161,163,165,166,167,167,163,159,158,161,162,158,157,159,160,163,165,165,165,166,166,168,169,169,167,166,167,168,170,170,170,171,172,173,173,175,174,172,171,171,173,174,173,169,167,167,168,167,165,164,164,163,162,160,162,163,164,164,165,166,166,165,166,167,169,169,166,166,166,167,168,167,163,161,161,163,163,162,161,162,162,162,161,158,156,154,154,155,157,156,153,150,149,150,151,150,149,149,148,149,151,149,148,154,159,160,159,156,151,149,150,151,null],[103,105,111,114,113,111,109,108,107,108,111,114,112,109,105,104,104,106,108,110,111,113,116,117,117,116,116,119,121,118,116,116,116,116,119,119,117,116,114,114,115,118,121,119,116,117,122,124,122,119,119,120,121,122,123,126,126,126,126,128,130,131,132,134,135,133,133,133,133,133,135,134,132,130,129,128,127,128,131,133,133,133,134,135,134,131,128,127,128,131,136,139,137,132,129,130,133,132,130,131,134,134,131,127,128,131,132,131,130,130,131,133,133,133,133,132,131,131,131,132,133,133,133,135,138,140,141,140,139,137,138,141,143,140,139,139,138,138,140,141,141,139,138,139,143,145,145,147,149,146,143,141,141,140,139,140,141,141,142,144,144,144,143,142,141,140,140,142,143,144,146,147,147,148,148,147,146,144,144,143,143,144,146,147,143,138,137,139,140,138,137,137,138,138,139,140,143,144,145,146,145,142,142,143,143,142,142,141,142,143,140,137,139,141,140,139,138,138,135,131,130,133,137,141,142,140,136,134,135,134,133,134,136,139,140,141,142,144,145,142,137,134,133,134,135,136,136,136,135,135,134,132,131,131,133,134,134,133,131,130,130,131,132,133,136,139,141,142,140,139,140,146,151,152,151,151,151,150,149,149,150,151,152,152,151,150,149,148,146,145,148,150,150,149,149,149,149,149,150,150,149,148,149,149,149,148,147,148,149,147,144,143,144,145,145,145,145,144,144,142,142,142,144,146,146,146,147,150,151,150,149,150,154,158,159,157,156,156,155,151,147,147,148,145,143,146,148,150,150,150,150,151,151,149,149,151,151,149,146,147,149,150,150,148,147,147,148,149,150,148,149,151,151,149,149,150,151,151,151,148,148,149,149,151,154,157,157,156,159,163,164,161,157,157,158,159,163,164,161,159,161,161,162,165,166,163,158,157,161,161,157,158,162,164,165,166,166,166,167,167,167,168,167,165,167,166,164,167,172,174,173,172,172,172,174,174,173,172,173,175,176,174,170,169,171,171,168,165,164,165,164,164,164,164,164,165,167,169,169,169,169,168,167,169,170,169,168,167,167,166,163,161,161,163,164,164,164,163,161,162,162,160,157,154,154,154,154,156,156,153,150,150,153,154,153,150,149,148,150,152,152,150,153,157,158,157,154,152,152,152,151,null],[105,106,111,112,113,114,113,113,111,112,115,116,114,111,108,106,105,105,106,106,107,113,116,117,116,115,116,119,120,117,117,118,115,113,115,116,115,110,107,111,115,119,120,119,118,119,122,123,120,118,120,122,123,123,124,125,125,125,126,125,121,120,124,131,135,134,133,131,130,131,133,134,133,131,130,128,126,127,130,132,132,132,133,135,134,131,127,125,126,132,137,139,137,132,129,129,130,131,131,132,133,132,128,126,126,128,130,129,128,128,129,132,133,133,131,132,132,132,130,130,133,134,133,135,137,139,140,140,140,139,139,143,143,141,140,140,139,138,139,141,142,141,139,140,143,145,145,146,146,143,142,141,139,138,138,138,139,142,144,144,144,143,142,141,140,140,141,143,145,146,146,146,146,148,149,146,144,142,141,142,144,145,147,147,143,138,137,139,139,137,136,137,140,141,141,143,145,146,146,145,142,141,143,145,144,141,140,141,143,144,141,138,136,136,137,138,139,137,134,131,131,134,138,141,142,138,134,133,134,134,133,135,138,141,141,141,142,143,143,141,137,134,133,134,135,135,135,135,135,135,135,134,133,133,133,133,133,133,133,132,131,132,133,135,140,142,144,144,143,141,143,148,152,151,149,149,149,148,148,148,149,150,151,152,151,149,148,146,144,144,147,149,149,150,150,149,148,147,147,148,148,147,147,147,147,146,146,148,149,147,143,142,143,145,145,144,143,143,142,142,143,144,146,148,149,149,151,153,153,150,148,149,153,155,154,152,155,157,155,149,144,145,147,146,145,147,149,150,149,149,151,152,150,147,146,147,147,147,146,146,147,148,148,147,147,146,144,143,144,145,147,148,148,148,149,149,150,152,152,149,149,151,152,152,153,154,155,156,158,161,162,159,155,154,157,160,162,162,158,156,157,157,158,163,166,164,158,156,160,160,157,158,163,165,167,166,165,165,166,167,167,167,165,163,164,164,162,166,170,173,173,172,171,171,173,176,177,174,174,177,177,175,173,172,172,171,168,166,166,166,166,165,166,165,165,165,168,171,169,169,170,169,168,167,166,167,166,167,168,166,161,159,159,163,164,164,164,164,161,162,161,160,159,157,156,154,152,154,156,154,152,153,156,157,154,151,149,149,150,153,153,151,152,154,155,154,154,155,155,154,153,null],[108,107,108,109,109,111,112,113,113,115,117,116,114,112,109,107,107,106,105,105,108,114,117,116,115,115,117,118,118,116,115,116,113,110,112,114,113,107,105,110,116,120,121,120,120,120,121,120,118,116,119,122,124,125,125,125,125,126,126,122,115,112,117,126,132,134,132,129,128,129,132,134,134,133,131,128,126,126,129,131,131,129,130,132,132,130,128,128,129,133,136,137,137,134,130,129,129,131,133,133,132,130,128,127,126,128,130,130,129,127,128,131,132,132,131,133,134,133,130,131,135,136,136,137,138,140,141,141,141,141,142,143,143,143,143,142,139,138,139,141,141,141,142,143,144,145,145,145,144,142,141,141,139,138,138,138,139,142,144,144,143,142,141,141,140,141,143,143,145,146,146,145,145,148,149,146,142,141,139,143,148,148,146,145,142,139,137,137,138,137,136,137,140,141,142,143,145,145,144,142,141,143,146,147,146,143,141,142,144,145,145,141,136,133,135,138,138,135,132,131,133,136,139,141,140,136,131,130,133,135,136,138,142,143,143,144,144,142,141,139,136,134,133,134,135,135,135,135,135,135,136,135,133,132,133,133,133,133,134,133,133,134,136,139,142,144,145,147,147,147,148,150,150,149,147,148,147,146,147,149,151,151,151,151,151,150,148,146,142,142,145,147,148,150,150,150,147,145,145,146,146,146,144,144,145,146,146,147,148,147,145,142,143,144,144,143,143,142,141,142,145,148,149,149,150,151,153,155,154,150,147,148,150,151,150,151,155,158,155,148,143,142,144,146,148,148,149,149,147,148,150,150,148,145,144,144,143,144,146,147,148,149,148,147,147,145,142,140,141,144,146,146,148,150,150,149,149,153,154,152,153,155,157,156,154,154,155,156,157,158,158,156,154,155,158,159,159,158,157,156,155,156,158,162,165,164,158,155,157,158,157,157,160,163,166,165,163,163,165,167,167,165,162,160,161,162,162,164,166,168,170,170,170,170,173,177,178,175,174,176,176,174,173,171,168,168,169,170,169,168,167,166,166,165,164,165,168,169,167,167,168,170,169,165,163,163,163,165,167,166,161,158,158,159,161,162,163,162,161,161,161,161,161,160,158,154,151,153,156,155,155,156,157,157,155,152,150,151,153,154,154,153,152,152,154,155,157,157,157,155,155,null],[112,110,108,108,107,107,107,109,112,114,115,114,114,113,111,108,107,107,107,108,112,115,117,116,114,113,114,115,114,113,112,113,114,114,114,112,111,109,110,114,119,122,123,123,122,120,118,118,117,117,120,123,126,126,127,127,128,126,125,121,116,114,117,123,129,132,131,129,129,130,132,133,133,133,132,129,127,127,130,132,131,128,127,129,128,128,130,132,133,134,135,135,135,133,131,130,131,132,133,132,131,130,130,129,130,133,135,134,133,131,129,129,130,131,134,137,137,134,131,132,135,136,136,138,141,143,143,141,142,143,143,143,143,145,146,144,141,140,140,140,140,142,144,145,145,144,145,146,146,145,144,143,141,139,140,141,142,143,143,143,141,140,141,141,140,141,143,145,146,146,144,144,145,146,145,142,140,139,139,144,150,149,145,142,140,139,137,135,136,138,138,138,139,140,141,142,142,141,140,139,141,145,147,147,146,145,144,143,143,145,146,144,139,135,135,136,135,132,130,130,134,138,140,140,139,134,130,129,133,137,139,141,141,141,143,145,145,142,139,137,135,133,133,133,135,136,135,134,134,134,134,133,130,130,131,133,133,132,132,134,135,137,140,143,144,143,144,147,149,149,150,149,148,147,149,150,149,148,148,151,153,153,152,152,151,150,149,146,142,142,145,147,147,148,149,149,147,144,143,144,145,145,143,142,144,145,143,144,147,147,144,142,143,143,143,145,145,143,142,143,146,149,151,151,150,150,150,151,150,148,147,147,147,148,151,155,156,156,154,150,145,141,142,147,149,147,147,147,146,147,148,147,144,143,143,143,141,143,148,151,151,151,151,151,150,147,144,142,142,144,146,147,149,152,152,151,151,154,154,154,155,158,158,157,156,156,157,157,156,155,154,154,156,157,157,156,155,156,158,159,160,159,160,162,164,163,157,154,155,156,156,155,157,160,162,162,162,164,167,166,165,163,161,159,160,161,161,162,163,166,168,169,169,169,171,174,175,173,171,172,173,171,168,166,165,167,170,172,171,169,168,167,166,162,160,164,167,166,164,164,167,169,169,167,164,163,163,163,163,161,158,157,157,156,158,159,159,157,158,161,162,159,158,159,158,155,152,152,154,155,155,155,157,157,156,154,154,155,155,156,156,155,153,153,155,158,159,157,155,154,154,null],[115,115,112,111,109,106,106,107,108,110,113,113,114,116,114,109,105,106,109,112,115,116,117,118,115,111,111,112,113,112,111,112,116,119,116,112,110,111,113,117,120,123,124,123,121,119,118,118,118,120,121,123,125,125,126,128,127,124,123,122,120,119,120,123,127,130,130,129,130,132,132,132,131,132,132,131,128,127,128,130,130,128,126,126,126,128,131,134,134,132,132,134,133,132,131,132,134,134,132,130,131,131,130,129,131,135,137,136,135,134,132,130,130,133,137,139,139,136,134,134,136,137,138,140,142,144,143,142,142,143,143,142,143,146,146,144,142,142,143,143,143,143,144,145,145,145,146,147,147,147,146,145,143,141,140,141,143,144,144,144,141,139,139,139,139,141,143,143,144,144,143,143,145,146,143,138,137,139,141,145,147,146,143,140,138,137,135,134,136,139,140,138,137,138,140,140,140,140,139,138,141,146,146,145,145,146,145,143,141,142,144,144,141,138,136,135,133,132,131,132,135,139,140,140,138,135,132,131,133,137,139,139,139,140,143,145,144,140,137,136,134,132,131,132,134,135,135,134,134,134,133,131,128,128,129,132,133,132,132,135,137,140,143,144,143,141,141,144,146,146,146,146,146,148,150,152,152,151,151,152,152,151,150,151,151,150,150,150,145,143,145,147,147,147,147,147,146,143,142,143,144,145,144,143,144,144,141,143,147,145,142,143,144,144,145,146,147,147,145,145,146,149,151,151,149,147,145,145,145,146,146,146,147,150,153,154,153,151,151,149,145,143,144,147,148,145,145,145,146,146,147,145,143,143,144,144,142,144,149,151,151,152,154,154,153,151,149,148,148,148,148,149,152,154,155,155,153,152,152,153,155,156,155,155,156,157,158,156,154,152,152,154,156,157,156,157,157,158,160,161,163,163,162,162,162,160,156,153,153,154,155,156,157,158,159,161,162,165,168,166,163,162,161,161,162,162,163,162,162,165,168,169,169,168,169,170,170,169,168,169,169,167,164,163,164,165,168,171,171,169,167,167,166,162,159,161,165,166,162,161,165,168,168,167,165,164,163,162,159,158,158,160,159,156,157,159,156,153,155,158,159,156,154,154,156,156,155,153,152,152,152,154,156,158,156,155,156,157,157,158,158,157,155,155,157,159,159,156,153,152,151,null],[118,119,117,114,110,109,110,108,105,106,111,114,116,119,116,109,104,105,108,112,115,116,117,117,114,110,109,112,114,114,114,115,118,119,117,113,110,111,114,118,120,122,123,121,119,118,118,119,121,123,123,122,122,121,120,122,122,119,121,123,123,123,124,125,127,128,127,127,129,132,131,129,128,131,133,133,129,126,125,127,129,128,126,126,128,131,131,132,132,129,129,132,132,130,130,133,134,133,130,129,130,131,129,128,130,133,136,136,136,136,134,132,132,135,138,139,139,138,137,137,138,138,139,141,142,143,143,143,141,141,141,142,143,145,145,143,142,144,147,147,146,144,144,144,145,146,147,148,147,147,147,147,145,142,140,139,141,142,144,144,141,138,138,138,139,141,142,141,141,142,143,143,144,144,142,137,137,142,146,146,144,143,142,140,137,135,133,133,136,138,139,138,137,137,138,140,141,141,141,142,144,146,144,143,145,147,146,142,139,138,140,141,140,137,135,134,134,134,134,135,137,139,139,138,138,137,135,132,132,134,135,137,139,142,144,143,141,138,135,134,133,131,130,131,133,134,134,135,135,135,134,131,129,129,130,131,133,134,135,137,139,141,142,142,141,139,138,139,141,142,142,143,145,147,149,150,152,153,152,150,148,147,147,149,150,149,151,152,148,144,145,145,146,146,146,146,145,142,140,141,144,146,146,144,143,141,141,144,147,143,141,143,145,145,145,147,148,149,148,148,147,148,149,150,148,144,142,142,143,144,145,148,151,155,154,150,147,146,146,146,145,145,145,146,146,144,144,145,145,145,146,146,145,144,144,143,143,146,150,149,147,151,153,153,153,153,153,154,154,153,152,152,153,156,157,156,153,150,150,153,153,151,150,151,153,155,156,154,152,151,153,154,155,155,156,160,161,161,161,162,164,165,164,161,160,158,156,154,155,156,158,160,161,159,160,163,164,166,167,165,162,161,162,163,164,166,168,165,163,165,169,171,171,170,168,167,167,165,166,168,167,165,164,164,163,163,165,167,169,168,166,166,165,164,161,158,162,167,163,160,163,166,167,165,163,163,163,162,159,159,161,163,161,158,160,160,156,153,155,156,155,153,152,153,154,156,157,155,152,150,150,153,157,158,155,154,156,156,157,158,158,158,156,156,158,158,157,155,153,151,149,null],[122,122,120,115,111,112,114,112,105,103,108,113,117,120,117,110,107,106,107,110,113,115,115,114,112,110,109,113,116,117,117,118,117,117,116,115,114,115,117,119,120,120,120,119,118,119,119,120,124,127,124,120,117,113,111,112,113,114,119,123,124,124,125,125,126,127,127,126,127,128,127,126,127,131,134,133,130,127,125,128,130,130,128,128,130,132,131,131,130,127,128,130,129,128,129,131,132,132,131,130,130,129,128,127,128,131,133,135,136,135,134,132,134,136,137,137,137,139,138,137,137,137,137,138,140,143,143,142,140,139,141,142,144,145,145,144,144,145,147,148,147,145,143,144,144,146,146,146,146,145,147,149,147,142,140,138,138,140,141,141,139,137,138,140,141,142,142,140,140,142,144,144,142,140,139,138,140,145,148,147,145,142,141,140,138,134,132,132,134,136,138,139,139,138,139,140,141,142,144,146,147,145,143,143,145,147,145,142,138,136,136,137,137,136,134,134,134,134,135,136,138,138,136,136,137,136,135,133,132,133,134,138,142,144,143,140,137,135,135,134,132,130,129,130,132,134,135,136,136,135,134,133,133,133,132,133,136,138,138,139,140,140,139,138,138,138,138,140,141,142,142,143,144,144,145,147,151,153,151,148,145,144,146,149,149,147,148,150,149,145,143,143,144,146,146,146,144,141,139,141,145,147,147,143,140,138,140,143,145,141,140,142,144,145,145,145,145,147,149,150,148,147,147,148,147,144,142,142,143,145,147,152,155,156,153,147,143,142,143,144,145,145,145,145,144,144,145,145,143,143,145,145,145,144,143,143,143,146,148,146,145,149,150,148,149,150,152,155,156,156,155,154,154,155,157,155,151,150,152,153,151,148,148,149,150,152,153,151,150,151,153,153,153,156,159,160,159,157,158,161,164,165,163,161,160,159,157,156,159,160,162,164,165,163,163,165,165,165,165,163,161,160,161,164,166,169,171,169,165,165,166,169,172,171,167,164,164,162,164,168,167,165,165,164,161,161,164,167,167,166,165,163,161,164,163,158,159,165,162,161,163,163,163,163,162,161,162,161,161,161,163,164,164,162,162,162,158,157,158,157,155,153,154,155,155,156,158,157,154,152,152,153,156,156,153,152,153,154,156,159,160,160,159,159,159,156,155,154,155,154,151,null],[124,124,121,116,114,116,118,115,107,102,105,112,118,121,119,114,111,108,107,108,111,112,111,109,109,108,108,111,115,118,118,118,116,115,117,118,118,119,120,120,119,117,116,117,119,121,121,122,124,126,124,119,114,109,106,106,109,113,117,121,123,125,126,123,124,127,127,127,127,126,123,123,126,130,132,131,129,127,127,130,132,131,130,130,131,132,131,130,128,128,129,129,128,129,130,130,130,131,131,130,128,127,127,128,129,130,131,133,134,134,132,131,133,135,136,135,135,137,136,136,136,136,136,137,139,141,141,139,139,139,140,142,144,145,145,145,146,146,146,146,146,145,144,145,145,145,145,145,144,144,146,149,147,143,140,139,139,138,139,138,137,138,141,142,143,143,142,140,140,143,145,144,141,137,136,139,144,147,146,145,145,142,140,139,137,133,131,132,134,136,138,140,141,140,140,140,141,141,144,147,148,146,143,143,144,145,145,142,139,136,134,134,135,135,134,134,134,133,134,136,137,134,132,133,135,135,134,134,134,134,135,139,142,144,142,137,134,135,137,137,134,131,130,131,133,135,136,136,135,134,134,134,134,134,134,137,140,142,142,140,138,138,137,138,139,139,140,142,142,143,145,147,147,144,142,144,148,151,151,148,145,144,146,149,148,146,146,148,148,146,142,141,142,144,146,147,145,141,138,140,144,146,145,141,138,137,138,141,142,141,140,141,143,145,146,146,144,146,149,151,150,146,146,147,147,144,141,142,144,147,150,154,155,155,152,146,142,142,142,144,144,145,145,145,145,145,145,145,143,143,143,144,144,143,143,144,144,144,145,146,145,147,147,145,147,149,151,154,157,156,154,153,154,155,155,152,150,151,152,153,150,148,150,151,151,151,152,151,151,152,152,152,152,156,158,157,155,154,155,158,160,160,159,159,159,158,157,158,161,162,163,165,166,165,165,165,164,163,162,161,159,160,162,164,167,168,169,169,166,165,165,167,170,170,166,162,161,160,163,168,168,166,166,163,160,160,164,169,169,166,164,162,160,161,162,159,158,159,159,161,163,162,161,161,161,159,159,159,161,162,163,163,163,163,162,161,161,161,161,160,157,156,157,159,157,157,159,158,155,154,153,153,154,154,153,153,153,154,157,160,162,163,161,159,156,153,152,152,154,154,152,null],[123,121,120,119,119,120,120,117,109,104,105,112,119,122,122,119,115,112,111,110,109,109,107,105,106,106,105,108,113,116,117,116,115,115,118,119,119,120,121,120,117,115,114,117,121,124,124,123,122,122,121,119,115,109,106,107,112,116,118,119,122,125,124,120,121,128,128,127,128,125,120,119,123,128,130,128,127,126,127,130,132,131,131,131,131,131,130,128,128,128,130,130,130,131,131,131,131,131,131,128,126,127,128,130,131,130,130,131,132,132,130,130,132,133,135,134,135,135,135,136,137,137,138,139,139,138,138,139,140,140,140,141,142,143,142,143,146,146,145,145,145,145,145,145,147,147,145,144,143,142,144,147,147,144,141,140,140,139,138,137,137,139,141,142,142,143,142,140,142,143,143,143,142,137,135,140,145,146,143,142,142,141,138,137,134,132,132,135,137,139,141,142,142,142,141,142,142,141,141,144,146,145,145,143,142,142,143,142,140,137,135,134,136,136,135,134,134,134,136,136,134,131,130,133,135,134,135,135,135,136,137,139,140,142,140,136,134,137,140,141,138,134,132,132,134,136,136,135,133,133,133,133,132,133,136,140,143,143,142,140,137,137,140,141,142,141,142,143,142,142,147,152,152,149,144,142,144,148,150,150,148,146,146,147,147,145,146,148,148,146,143,141,141,143,146,147,146,141,139,140,142,143,142,140,138,137,138,140,140,141,142,143,144,147,150,149,147,147,150,150,148,145,145,147,147,144,140,142,145,148,150,151,153,153,151,145,142,143,143,144,144,146,146,147,146,145,145,146,146,145,143,145,145,144,145,145,144,143,144,146,146,147,146,147,148,149,152,156,157,154,151,151,153,155,153,151,150,151,151,151,150,151,152,155,155,154,153,153,153,153,152,151,152,154,154,153,153,153,155,156,156,155,155,157,158,156,156,159,161,162,162,163,164,165,163,162,162,161,160,159,158,161,163,165,165,164,164,166,167,168,167,167,169,170,166,161,158,159,163,167,167,166,165,163,160,159,164,170,171,168,165,163,161,160,161,160,157,154,155,159,162,162,162,162,160,157,156,157,159,162,161,160,159,161,161,160,160,161,162,161,160,158,159,159,157,156,157,157,154,153,152,151,152,153,155,155,156,157,158,160,162,163,161,157,154,152,150,149,150,150,149,null],[119,118,119,121,123,122,120,116,111,108,108,113,118,123,123,121,119,118,118,116,113,111,108,104,105,106,105,108,113,115,114,113,113,115,120,121,120,120,121,120,117,116,116,119,122,123,124,124,122,119,120,120,117,112,110,114,117,119,118,118,121,121,119,117,122,129,129,127,126,124,120,117,119,126,128,126,125,125,126,128,129,130,130,130,130,129,129,128,127,128,130,132,132,131,131,131,131,131,129,126,126,129,130,130,131,131,131,131,131,131,130,131,132,132,134,135,134,134,135,136,137,138,139,139,138,137,137,140,142,142,141,141,141,141,141,142,145,145,144,145,147,146,145,145,147,149,146,144,142,141,143,145,146,145,142,140,140,139,138,138,139,140,140,138,138,140,141,141,142,143,142,143,142,138,136,142,145,143,141,140,139,138,137,134,132,133,136,140,141,141,140,142,143,143,143,143,144,142,141,143,144,143,143,142,141,140,141,141,140,138,137,137,138,137,136,135,134,135,136,136,133,131,133,135,136,135,134,135,136,137,140,140,139,139,137,135,134,137,139,141,140,137,134,133,134,135,135,134,132,132,131,130,130,132,137,141,142,142,140,138,136,138,141,143,142,141,142,143,143,144,148,153,155,153,147,142,140,143,147,149,149,147,144,144,145,146,148,149,147,145,144,142,142,144,146,147,144,141,139,140,140,141,140,140,140,141,142,142,141,142,143,144,146,149,151,149,147,148,150,148,145,144,145,147,147,143,140,142,146,148,147,147,149,150,147,144,141,143,144,145,146,146,147,147,147,146,147,148,149,148,147,148,147,146,146,147,146,147,148,148,147,145,146,148,148,148,151,155,155,150,147,148,151,152,150,149,150,151,152,153,153,154,154,156,157,156,155,156,156,156,154,152,150,150,150,151,153,154,155,155,155,155,155,157,158,158,157,159,164,164,162,161,163,164,163,160,159,158,157,158,160,161,162,163,162,161,162,165,168,170,170,169,170,170,167,161,157,159,163,166,166,165,164,162,160,161,165,169,169,167,166,166,165,163,161,161,159,155,155,156,159,161,163,163,160,157,155,155,157,160,160,156,156,160,160,157,156,159,162,162,162,160,159,158,155,154,155,155,154,152,150,150,153,155,156,156,156,159,158,157,158,159,159,157,154,153,152,151,149,148,146,null],[115,116,120,122,123,121,117,112,111,110,111,112,116,122,123,122,121,122,123,121,118,116,111,106,105,106,108,110,113,114,113,112,112,115,120,122,121,121,121,121,119,118,119,121,121,121,122,124,124,122,122,122,119,116,116,119,120,120,120,120,119,115,113,117,124,129,129,125,122,122,121,117,116,120,124,126,126,125,125,127,127,127,127,128,128,128,129,128,127,128,129,131,132,130,129,129,129,128,127,127,129,131,131,129,130,132,133,132,131,132,132,133,133,132,132,133,132,133,136,137,135,136,138,138,137,137,139,141,142,142,142,142,142,140,141,142,144,144,144,146,147,146,144,144,147,149,147,145,144,142,142,144,145,144,143,141,139,138,138,139,139,139,138,135,134,137,141,142,142,142,142,142,140,137,138,143,144,141,140,139,137,136,135,133,132,135,140,143,143,140,139,141,143,144,144,145,145,145,143,143,143,142,141,141,141,140,140,140,139,137,137,138,139,138,137,135,134,134,134,133,132,133,136,137,137,135,134,134,136,138,141,141,139,137,135,133,134,135,137,139,140,138,134,132,133,134,134,133,132,131,129,129,131,135,137,138,139,138,137,137,137,138,141,143,141,140,141,144,147,148,150,152,152,152,149,143,139,140,144,147,148,145,142,142,144,147,148,148,146,144,143,142,142,145,146,144,142,139,139,139,140,140,140,141,142,144,145,145,144,143,145,147,148,148,149,147,146,147,147,146,144,143,145,147,146,142,141,144,146,146,144,144,146,146,143,141,140,141,143,145,146,147,147,146,146,146,148,149,150,151,151,150,149,148,148,148,150,152,152,152,149,146,147,148,148,147,149,150,150,146,146,148,149,148,147,148,151,152,154,157,157,155,154,154,156,156,156,157,159,160,159,153,148,149,151,151,153,155,155,155,156,157,157,158,160,162,160,160,166,166,163,162,162,162,162,159,156,154,154,158,161,160,160,162,162,163,166,168,169,171,172,169,169,169,167,163,159,159,161,164,165,163,163,161,159,163,166,166,165,164,165,167,167,166,165,163,161,159,157,157,157,158,159,161,161,159,155,153,155,158,157,154,156,161,159,154,153,157,162,163,163,161,159,157,154,152,152,153,153,151,150,151,154,155,155,155,156,157,156,154,153,156,158,158,156,155,155,155,153,149,146,null],[113,117,122,123,120,117,112,110,110,111,112,111,113,120,122,121,121,122,122,122,120,118,115,111,106,107,110,112,112,111,110,110,112,115,118,121,122,122,122,122,122,121,121,121,121,119,120,122,124,124,124,124,123,119,119,120,120,120,123,122,117,111,112,119,126,130,128,123,119,120,122,120,115,113,117,124,127,126,126,126,126,126,126,125,125,126,128,128,126,126,127,129,129,128,127,126,126,126,127,128,130,131,130,129,130,133,133,131,131,134,135,135,133,131,130,130,130,131,133,134,133,134,136,136,138,139,140,139,139,140,141,142,141,140,141,142,143,144,145,145,144,143,143,144,146,146,146,146,146,145,143,144,144,144,143,142,140,140,139,138,137,137,138,137,136,139,141,142,141,141,141,140,136,136,138,142,142,140,139,138,135,133,132,132,133,136,141,143,142,140,139,140,142,143,145,146,146,146,145,144,143,142,141,140,140,141,141,140,137,136,136,137,138,138,137,136,134,131,130,130,132,133,135,136,136,136,136,136,137,138,139,139,138,136,134,134,134,135,137,139,139,137,134,133,133,132,132,131,131,130,129,132,136,137,136,136,136,134,134,136,138,140,141,142,142,141,141,144,149,150,151,150,147,147,147,145,142,141,143,146,146,143,140,141,145,148,147,145,145,144,141,139,140,143,143,141,140,139,137,138,140,140,140,142,143,145,146,146,146,147,148,148,149,148,146,146,146,146,145,144,144,144,145,146,144,142,143,146,147,144,142,143,144,143,141,141,140,141,141,142,144,147,148,145,143,144,147,149,150,149,149,149,149,149,148,148,151,153,152,153,152,150,149,150,150,149,148,147,146,144,145,148,149,148,147,149,151,152,154,157,156,153,151,151,154,155,156,158,161,163,161,156,150,152,155,153,153,154,156,156,156,156,157,159,161,163,162,161,164,165,164,162,160,158,158,158,155,153,153,158,161,160,162,165,164,166,168,170,171,172,170,167,166,166,167,164,160,158,160,163,163,162,161,158,158,162,165,164,163,163,163,165,166,168,168,165,163,162,161,160,157,154,153,156,160,161,157,153,154,155,154,153,156,160,159,154,153,156,161,163,162,160,159,158,156,153,150,150,150,149,149,150,152,153,152,154,156,156,154,154,154,157,158,158,156,154,156,158,157,153,150,null],[114,119,123,122,117,113,110,110,109,110,111,111,113,118,120,120,119,118,118,120,121,119,119,116,110,109,112,114,110,107,105,107,111,114,115,118,121,120,120,122,123,123,122,121,121,121,120,119,120,122,123,124,122,117,114,114,116,118,124,123,117,113,115,120,126,128,124,119,119,121,124,121,114,109,112,120,125,127,127,127,127,127,127,126,125,125,126,126,125,124,125,128,128,127,127,125,125,126,127,128,130,131,130,130,131,134,134,132,131,134,137,137,133,131,130,130,130,129,129,130,132,134,134,134,136,138,138,137,136,138,140,141,141,141,141,142,143,145,146,144,142,142,144,145,145,143,143,145,147,146,145,144,143,142,143,142,142,142,139,136,135,137,139,140,141,143,144,144,141,140,139,138,135,137,140,141,139,138,137,135,132,132,132,134,135,137,140,142,141,141,141,142,143,144,147,148,147,146,145,144,143,141,139,138,138,141,142,140,137,135,134,135,137,137,137,137,134,130,129,131,133,134,135,135,136,138,139,139,138,137,137,138,137,135,133,134,133,135,139,141,139,136,134,133,133,131,130,130,129,128,131,135,139,138,135,134,133,131,132,136,139,139,139,140,143,143,142,144,147,149,149,147,144,142,144,145,144,142,143,144,142,140,140,143,147,147,145,143,143,143,139,137,138,141,141,139,139,139,138,138,139,140,141,143,144,144,144,145,146,148,148,147,146,145,143,143,144,144,144,144,143,143,143,143,142,142,144,146,145,142,142,142,143,142,141,141,141,141,140,140,140,144,146,143,141,142,144,146,147,145,145,148,150,149,148,148,150,151,151,152,153,152,151,151,152,151,148,145,144,144,145,147,148,148,148,149,151,152,153,154,152,150,149,150,152,153,155,158,160,161,159,157,155,158,159,155,154,154,155,155,155,155,157,159,160,162,163,162,161,161,162,160,157,156,157,158,157,155,156,158,160,161,163,166,166,167,168,170,171,172,169,165,162,162,165,163,160,158,160,164,164,162,158,156,156,160,164,165,164,162,161,162,165,167,167,165,164,163,162,160,157,154,152,153,158,161,158,154,155,155,153,153,155,158,157,155,156,157,160,162,161,159,158,158,158,155,152,150,149,148,148,150,152,152,153,155,156,153,152,154,158,160,160,158,156,154,155,157,157,154,151,null],[117,121,123,120,114,111,111,112,110,108,110,112,114,117,119,119,117,116,117,119,121,121,121,120,113,111,114,115,110,103,99,103,108,113,115,117,118,118,118,121,123,123,122,122,122,122,121,118,117,118,120,120,118,113,109,109,112,117,122,123,120,118,118,119,122,123,118,115,120,124,123,119,114,111,112,116,121,126,129,129,129,129,129,128,127,125,124,124,124,123,125,127,128,127,127,127,127,128,127,127,129,132,131,130,131,135,136,133,132,134,136,136,132,131,133,133,132,130,128,129,133,134,133,133,134,135,136,136,135,137,140,140,140,141,141,142,143,146,147,144,142,143,145,145,143,141,141,144,146,145,145,145,142,141,142,143,142,142,139,135,136,138,141,143,144,145,146,145,142,139,138,138,137,139,141,140,137,135,134,132,132,133,135,136,137,138,141,142,141,142,144,145,146,147,148,149,148,146,143,143,142,139,136,134,136,138,139,138,136,134,134,134,135,136,135,135,134,132,132,134,135,136,136,136,136,139,140,139,138,138,137,136,135,133,132,133,133,136,139,141,139,136,134,134,132,131,130,128,126,127,131,137,139,137,136,133,130,130,133,136,138,137,136,138,141,143,143,143,143,145,146,145,142,141,142,143,142,141,141,140,138,138,141,145,147,145,142,141,142,141,138,137,138,140,139,138,139,140,139,138,139,141,143,145,145,143,142,143,146,147,146,144,143,142,140,140,141,141,141,142,141,141,141,141,141,143,144,144,142,141,141,141,142,142,141,141,141,141,141,141,140,140,142,142,142,141,141,142,143,143,144,148,150,149,147,147,148,149,151,151,149,149,150,150,152,152,149,146,145,144,145,146,147,148,148,148,150,151,151,151,150,149,150,151,151,151,153,157,158,156,156,159,161,161,160,157,156,155,153,152,154,157,158,159,159,160,162,161,159,158,159,158,157,158,160,160,160,160,160,160,160,161,162,163,165,166,167,167,169,172,170,165,160,160,163,162,159,158,162,166,167,164,159,155,155,158,163,166,165,162,160,161,165,166,165,164,165,164,161,158,157,157,156,155,156,158,156,155,157,155,151,152,154,155,156,156,157,158,158,161,161,159,157,156,157,156,155,153,151,148,148,151,153,155,155,156,154,151,151,155,159,162,162,160,157,155,155,155,153,150,149,null],[121,124,123,117,112,110,111,111,108,107,109,114,116,116,118,120,120,119,120,120,121,121,121,118,112,109,112,114,110,102,97,100,107,112,115,117,119,119,119,121,123,123,122,121,121,122,121,119,120,121,120,117,115,114,114,114,115,118,120,121,123,122,119,120,120,119,115,115,121,123,121,118,117,116,115,115,119,125,130,132,131,130,129,128,127,125,123,123,124,122,123,127,127,126,126,128,129,128,128,129,131,133,132,131,131,134,136,135,135,135,134,133,132,135,137,137,136,132,129,130,133,134,133,132,134,136,136,136,135,136,137,138,138,139,139,141,144,146,146,143,142,143,144,143,141,140,141,143,144,143,144,146,143,141,143,144,142,139,136,135,136,138,140,143,144,144,144,144,142,141,141,139,137,138,140,140,136,132,132,133,134,137,139,139,139,140,142,143,143,144,145,146,147,147,147,148,147,145,141,140,140,139,135,132,132,134,134,134,133,134,134,133,134,135,134,134,134,133,135,136,137,136,137,136,137,139,139,138,138,138,137,135,134,133,133,133,135,136,138,138,138,135,133,132,131,131,130,127,124,125,130,136,138,137,137,135,131,129,131,134,135,135,135,135,138,142,142,141,142,144,145,144,142,141,142,141,140,139,138,137,138,140,143,145,145,142,139,139,140,140,137,136,138,139,139,138,138,138,139,139,140,142,144,145,143,141,142,145,146,145,144,143,142,140,139,139,140,140,139,139,140,141,142,142,142,144,143,141,140,140,141,141,141,141,141,142,142,143,144,144,142,141,142,142,142,141,140,140,142,143,144,147,148,146,145,146,147,149,150,150,147,145,146,149,150,151,151,150,148,148,148,146,147,149,148,148,149,148,148,150,150,150,149,150,150,150,152,156,156,155,156,160,163,162,159,159,158,156,153,152,154,157,159,159,158,158,159,158,157,157,157,158,160,163,163,162,162,162,163,164,164,165,164,163,165,167,168,167,168,172,171,165,160,159,161,161,158,158,159,162,164,164,162,158,155,156,160,163,164,161,159,161,165,165,165,166,167,166,162,160,160,161,160,157,155,155,154,154,155,152,149,151,154,154,154,155,156,156,157,160,161,160,158,155,154,154,155,155,153,149,148,151,152,154,155,154,152,151,154,158,159,160,161,161,158,154,153,153,151,148,147,null],[123,124,120,114,111,112,113,111,109,109,111,115,117,116,118,122,124,124,124,123,123,122,120,114,109,107,108,110,108,102,98,100,105,110,112,115,119,122,123,123,124,124,122,120,121,121,121,121,124,125,120,116,117,120,121,120,119,119,120,122,123,122,120,120,119,117,117,118,120,120,119,119,120,119,116,114,117,124,130,133,131,129,129,128,128,126,124,124,124,122,124,127,128,126,126,129,130,128,128,131,134,135,133,131,131,132,134,137,138,137,133,131,133,137,140,139,137,134,132,131,134,135,134,133,136,139,139,137,136,135,135,136,138,139,139,140,143,146,145,142,141,141,141,140,139,139,141,143,143,141,142,144,143,141,143,144,142,138,135,135,137,138,139,140,142,142,142,142,141,142,144,141,137,137,139,139,135,133,134,137,138,140,140,139,139,140,142,143,144,145,145,145,146,146,145,145,146,144,141,139,140,140,137,133,132,132,132,132,133,134,134,133,133,134,134,132,132,133,135,137,137,136,136,136,137,138,138,137,138,139,137,135,135,135,136,137,136,135,134,134,135,134,132,130,130,130,129,127,125,125,129,134,136,137,138,136,133,131,131,132,134,135,135,136,138,140,141,140,141,144,144,142,141,141,142,141,138,136,135,136,139,142,144,143,141,139,137,137,138,138,136,136,137,139,139,138,137,137,138,139,140,142,144,144,141,141,144,147,146,144,144,143,143,141,139,139,139,139,139,139,140,142,142,143,143,143,142,140,140,140,140,140,141,142,142,143,143,144,145,145,144,144,145,144,142,140,140,141,144,144,143,144,144,143,143,145,147,149,150,149,146,144,145,148,148,149,152,152,151,152,152,149,149,151,151,150,149,147,149,152,153,151,149,149,151,152,153,156,156,156,158,160,161,159,158,159,159,158,156,153,153,155,157,158,157,157,157,156,156,156,159,160,162,165,164,163,162,162,164,165,167,168,167,165,167,169,170,168,167,172,172,167,162,160,160,160,158,157,156,156,159,163,164,162,156,155,157,161,161,160,159,161,166,164,163,166,168,166,164,162,162,162,160,157,155,154,153,153,152,150,148,151,153,153,154,154,154,155,156,159,161,161,159,156,152,151,153,155,154,150,149,150,151,152,152,151,150,152,156,159,158,157,158,159,157,153,151,153,152,149,147,null],[122,120,115,112,112,115,115,115,115,116,116,117,118,117,121,126,127,126,126,125,125,122,118,112,108,106,106,106,104,101,100,101,104,107,107,110,118,125,127,125,124,123,122,122,122,123,122,123,123,123,120,119,121,122,121,117,116,118,121,123,122,121,120,119,118,117,119,121,120,120,121,121,121,119,116,113,116,122,128,131,129,128,128,130,131,128,126,126,126,125,126,129,130,129,129,131,132,128,127,132,135,136,134,133,132,132,134,138,140,138,135,133,134,136,138,139,138,135,134,134,136,138,136,135,137,141,141,139,137,136,135,137,140,141,141,141,143,145,144,142,139,138,139,139,138,138,140,142,142,140,141,142,142,140,140,142,142,138,135,135,137,139,140,139,139,141,142,140,140,142,144,142,137,137,138,137,136,135,138,141,141,140,138,137,138,139,141,142,144,144,144,142,142,144,145,145,146,145,144,142,141,140,138,136,136,135,134,135,136,137,135,132,132,133,133,131,129,131,134,137,137,137,138,139,140,139,138,138,139,139,137,136,136,137,140,140,137,133,131,131,131,132,133,132,129,128,128,129,130,129,130,133,135,136,138,138,137,134,133,134,136,138,138,139,140,141,140,139,140,142,142,141,140,140,141,139,137,135,134,135,138,141,143,141,138,136,136,137,137,137,136,136,137,140,139,137,136,137,138,138,140,142,142,142,141,142,146,146,145,144,144,143,143,141,140,138,137,139,141,141,141,141,142,141,141,140,141,142,142,140,140,141,141,142,143,143,144,144,144,144,145,148,148,146,142,140,142,145,147,145,142,142,143,142,142,144,147,149,150,147,145,145,146,147,145,145,149,150,150,153,153,151,151,153,153,152,150,149,151,154,155,153,151,151,153,155,156,157,158,158,158,158,157,156,157,157,160,160,158,155,154,154,156,157,157,157,157,156,155,157,160,160,160,160,160,161,162,163,163,164,165,166,166,166,168,170,170,167,166,171,173,169,164,161,161,161,160,159,156,153,156,161,163,161,157,154,155,160,160,158,158,161,166,164,160,161,163,164,162,161,162,160,158,157,158,158,155,152,152,152,151,150,150,153,155,155,156,156,157,158,160,161,161,158,151,149,153,155,155,152,149,149,151,152,152,149,149,153,155,157,158,157,156,156,157,154,152,154,152,149,149,null],[121,117,111,110,113,116,119,119,119,120,121,119,118,118,125,131,129,126,125,126,125,123,117,111,108,107,105,104,103,102,102,103,106,107,106,109,117,125,127,125,123,123,123,124,125,124,124,124,123,121,121,122,124,122,117,114,114,116,118,120,120,119,119,118,117,117,117,118,120,123,125,124,122,120,117,115,116,120,125,126,126,126,128,131,131,129,127,126,127,128,130,131,133,134,133,132,131,129,129,132,135,137,137,135,134,135,136,139,139,137,135,134,135,136,137,139,140,138,136,137,139,140,137,136,137,140,141,141,140,139,138,140,142,143,143,143,145,146,145,142,140,140,140,139,138,138,139,141,142,141,140,141,140,139,139,141,142,139,135,135,136,139,140,139,138,140,140,138,139,141,141,139,138,138,137,136,135,135,137,140,140,138,136,137,138,138,139,140,141,142,141,140,141,143,145,145,145,144,144,144,143,141,139,139,140,139,138,137,138,138,135,133,132,133,133,130,128,131,135,138,138,139,141,141,141,140,139,138,137,137,137,136,136,137,138,138,135,131,129,128,129,132,133,132,129,127,128,132,134,133,132,133,134,136,138,139,139,137,135,136,138,140,140,142,143,143,141,139,139,140,140,139,138,139,139,137,135,134,134,134,135,138,140,139,137,136,136,137,137,137,137,139,141,142,141,138,137,137,137,138,139,140,140,139,140,143,145,145,143,143,142,141,141,141,140,138,137,138,140,141,141,141,141,141,140,140,140,142,141,140,141,142,143,144,145,146,146,146,144,144,146,149,151,148,143,141,144,148,150,147,144,143,143,143,142,143,146,148,148,144,143,146,149,147,143,143,146,148,149,151,151,150,151,154,154,153,152,153,155,156,157,156,153,152,153,156,157,156,155,155,156,156,156,157,158,158,160,161,160,157,156,157,158,159,158,157,159,159,157,157,159,161,160,158,158,160,161,162,163,164,164,166,165,164,167,169,167,166,165,169,171,170,168,165,164,163,163,163,160,155,156,159,157,157,157,155,155,158,158,157,158,162,166,165,161,158,158,159,158,158,161,161,160,159,159,159,156,154,155,157,154,149,147,152,156,157,157,157,159,158,158,160,161,158,152,150,153,153,152,151,149,149,151,152,151,149,150,152,154,156,157,157,155,155,155,152,151,153,152,151,152,null],[119,115,110,109,113,118,123,123,118,118,124,122,119,120,127,133,130,127,127,127,125,124,118,111,107,107,107,107,105,103,104,107,110,111,110,112,118,123,125,123,122,123,124,126,127,125,125,125,124,122,122,122,123,119,115,115,116,116,114,115,118,119,118,117,118,118,115,114,118,125,128,125,121,121,121,119,117,118,121,122,121,123,125,128,127,127,128,127,126,129,131,132,134,136,135,132,129,130,133,134,135,137,138,137,136,137,139,139,138,137,135,135,136,137,138,140,141,140,139,140,140,140,138,137,137,139,141,142,143,143,143,142,143,144,145,145,147,148,145,143,142,144,143,141,141,140,139,139,141,142,141,140,140,139,139,141,142,138,135,135,135,138,139,139,137,137,136,136,138,140,138,136,137,137,136,133,132,132,134,135,136,135,136,139,140,140,139,138,139,139,139,140,142,144,145,144,144,142,142,143,143,142,141,141,142,141,139,138,138,138,136,134,133,133,132,131,129,131,135,138,139,141,142,141,141,140,140,138,136,135,135,135,135,134,134,133,132,130,128,128,129,132,133,133,131,130,132,135,136,135,133,133,135,137,139,140,140,138,137,138,139,140,140,142,143,143,141,139,138,139,138,136,135,136,137,136,134,135,134,133,133,134,136,137,138,137,137,137,137,137,139,142,144,145,143,141,138,136,136,137,138,139,139,138,140,142,143,143,142,141,139,139,139,140,140,140,140,140,139,140,140,140,141,142,142,142,141,141,140,140,141,142,143,145,147,148,148,147,145,145,146,150,152,151,146,144,146,150,151,151,149,147,145,143,142,142,145,148,146,142,141,145,149,149,144,143,146,149,149,148,146,147,150,152,153,153,153,156,158,159,160,158,154,151,152,154,155,152,151,151,152,154,157,159,159,159,160,161,161,160,161,162,161,161,159,159,161,161,158,157,158,162,163,161,160,160,160,161,163,165,166,167,164,162,165,166,164,164,166,167,169,171,169,167,166,165,165,165,162,158,157,157,154,155,156,156,155,157,158,159,161,163,165,166,163,159,156,155,154,155,160,163,163,162,159,156,154,155,158,159,156,152,149,151,155,157,155,157,160,158,157,159,160,157,153,152,153,152,151,150,150,150,151,151,150,150,150,151,154,157,156,155,155,154,153,150,150,153,154,154,153,null],[116,114,112,112,115,120,128,129,120,119,126,125,121,122,126,131,132,132,132,130,126,123,118,112,108,108,109,110,107,104,105,111,114,115,114,115,117,119,120,121,122,123,126,127,127,126,125,124,124,123,121,120,119,118,117,118,119,118,115,114,118,120,118,118,119,119,116,114,117,123,125,121,116,118,121,121,117,117,120,120,119,121,123,123,123,125,130,129,127,128,129,130,131,133,134,131,128,130,134,136,137,137,138,138,138,139,140,138,137,138,137,136,137,137,139,142,142,140,141,142,141,140,139,139,139,140,141,142,144,145,145,144,145,147,146,144,144,145,146,146,145,144,144,143,144,143,140,138,139,141,141,140,139,138,138,140,140,138,135,136,138,138,137,136,134,133,132,133,135,136,136,135,136,135,133,131,130,132,134,134,132,133,137,140,141,141,141,140,139,139,140,141,143,145,144,142,141,141,142,142,141,141,143,143,143,141,138,137,137,138,138,135,132,131,130,130,130,131,134,137,138,139,139,140,141,141,140,139,136,135,135,134,132,131,131,131,130,130,129,130,131,133,134,135,135,135,136,138,138,136,135,135,136,137,138,140,140,140,138,138,139,140,140,141,141,141,139,138,137,136,135,133,133,134,135,134,133,134,134,134,132,132,135,136,136,135,136,136,137,138,141,143,145,146,146,143,138,135,135,136,137,140,141,139,139,141,142,143,142,140,138,138,138,140,142,145,146,144,142,140,139,141,143,145,146,146,144,141,140,140,141,141,142,145,147,147,145,145,144,144,146,150,154,153,150,147,148,150,152,152,151,150,147,143,141,142,146,148,146,143,142,144,149,151,148,145,147,148,148,145,144,146,148,150,152,154,156,158,160,161,161,159,157,152,150,151,152,150,150,152,152,154,157,158,158,157,158,160,162,164,165,163,160,162,162,161,161,162,160,159,160,163,164,163,162,161,161,162,163,164,165,164,161,160,162,163,162,162,165,168,170,170,166,164,165,165,163,162,161,159,160,160,158,155,155,155,156,158,160,162,164,166,166,164,161,160,158,155,154,155,158,161,163,162,158,153,152,156,159,159,157,155,153,151,153,154,153,156,159,156,156,159,160,157,154,153,155,154,152,151,151,151,150,149,149,150,150,149,152,156,155,153,153,153,153,150,150,154,156,155,154,null],[118,116,116,117,121,127,134,135,129,126,128,127,124,121,122,127,132,135,136,131,125,123,120,115,109,107,110,111,108,104,105,111,116,117,116,116,115,115,117,120,121,122,126,127,126,125,124,124,124,123,121,119,119,120,120,119,119,118,117,115,116,117,118,117,117,119,118,117,118,121,122,118,114,116,118,119,118,120,123,121,118,121,123,123,122,124,129,130,129,128,128,130,129,130,133,133,131,131,133,134,136,136,136,137,138,139,139,137,138,141,140,139,137,138,139,141,140,139,141,143,143,141,140,140,142,143,142,142,145,145,144,144,146,148,146,142,140,142,146,147,145,143,142,143,144,143,141,140,139,140,140,139,139,138,138,139,138,136,136,137,138,137,133,131,131,129,129,131,132,133,134,134,134,132,131,131,131,134,136,136,134,134,136,138,140,142,144,143,140,139,141,142,144,145,144,141,140,140,141,140,140,141,143,144,142,139,136,137,138,139,139,136,132,129,128,129,130,131,133,136,137,137,137,139,141,141,140,138,137,136,135,133,132,131,131,130,130,130,131,132,133,134,136,137,138,138,138,139,138,138,137,137,135,134,135,137,140,140,139,138,139,140,140,139,138,136,136,136,135,133,131,130,131,133,133,132,132,133,133,132,131,131,134,135,135,135,138,139,140,141,143,144,145,147,147,143,138,136,137,138,139,141,142,140,140,141,142,143,142,140,140,140,141,143,146,149,149,147,144,141,141,142,145,149,150,150,147,143,141,142,141,141,141,143,144,143,143,143,143,144,145,149,152,153,152,150,150,151,153,152,150,150,147,142,140,143,146,148,147,144,143,144,148,151,150,149,148,147,147,146,147,149,150,151,153,156,157,158,158,159,159,159,158,154,151,153,154,152,152,155,154,154,155,157,157,157,158,160,162,164,163,159,157,160,161,159,160,161,162,163,164,164,164,165,164,163,164,164,163,163,162,161,159,160,161,163,164,165,167,169,170,167,162,160,164,164,161,159,158,161,163,163,161,157,154,154,155,158,160,161,165,167,165,160,158,159,157,156,155,155,156,158,161,161,158,153,154,158,160,159,156,156,154,151,150,152,153,155,155,153,154,158,160,157,153,153,154,153,151,151,151,151,149,149,150,151,151,150,153,156,155,152,150,152,154,152,151,154,155,153,153,null],[122,121,121,123,129,136,139,139,138,135,130,128,125,120,120,123,130,136,135,128,122,123,125,120,110,106,109,111,108,105,104,109,114,117,116,115,114,115,116,118,119,121,124,125,123,121,121,123,124,124,122,121,122,123,121,118,117,116,117,115,111,113,116,114,113,116,118,119,119,122,123,119,117,118,118,117,120,124,127,122,118,122,127,128,126,125,127,130,132,132,132,132,130,130,133,136,135,133,131,132,133,134,135,136,138,138,138,138,140,142,142,140,138,138,138,140,139,139,140,143,145,142,139,140,143,144,143,143,145,144,142,142,145,146,144,140,140,141,143,143,142,141,140,141,141,142,143,142,141,140,139,139,140,140,141,139,136,135,135,135,135,133,130,128,128,128,130,131,131,130,131,132,132,131,132,133,134,136,138,140,139,136,134,136,139,141,145,144,142,141,142,144,145,145,143,141,140,139,139,139,140,141,143,143,140,137,134,136,139,140,139,137,134,129,126,128,131,134,135,136,137,137,137,139,141,140,138,137,136,134,132,132,133,133,132,130,130,131,132,134,134,135,136,136,136,136,137,138,139,139,138,136,133,131,132,135,138,139,138,137,139,141,140,137,134,133,133,133,132,130,129,129,130,131,131,130,130,130,130,130,131,132,134,137,139,141,144,146,144,144,146,148,148,148,146,143,139,140,142,141,140,141,141,141,141,142,143,143,142,142,143,144,146,148,150,151,150,147,144,143,143,145,149,151,150,149,147,144,143,143,142,142,142,142,141,142,144,144,145,145,146,147,149,151,151,151,151,153,154,152,149,149,146,141,141,145,147,148,147,145,145,145,147,149,151,151,149,147,147,149,152,152,153,154,155,156,156,154,153,155,157,159,158,156,154,156,157,154,154,156,156,155,155,156,158,158,159,160,160,159,157,156,156,158,157,156,158,162,164,165,166,166,165,166,165,165,166,166,165,163,162,162,161,161,164,166,167,170,171,170,168,165,160,159,162,165,162,158,157,162,164,162,159,156,154,153,153,154,156,158,162,164,162,159,158,156,155,154,155,156,157,158,160,160,158,156,159,162,161,158,155,154,153,151,149,151,153,154,152,151,153,157,158,155,153,152,151,150,149,149,149,149,149,151,153,153,153,154,156,156,156,152,149,151,154,152,150,152,151,151,151,null],[123,125,129,130,135,141,141,140,139,137,132,129,127,123,120,123,129,134,131,125,121,123,126,124,114,106,108,110,109,107,105,106,109,112,115,116,115,115,114,115,117,120,122,120,117,116,116,119,122,123,121,120,123,123,121,118,116,115,117,115,110,112,116,113,111,112,114,116,118,122,126,123,122,123,121,119,121,126,128,123,119,125,132,133,132,129,129,132,135,135,136,136,133,132,134,137,138,136,133,132,133,134,134,136,138,138,138,139,141,142,142,139,137,136,136,139,141,141,140,142,144,141,137,140,143,144,144,143,143,141,140,141,142,141,139,139,141,141,141,141,142,141,140,139,139,140,143,143,142,140,139,140,141,142,142,140,136,134,134,134,133,130,129,128,129,130,132,134,132,130,130,131,133,135,136,137,137,138,139,142,141,138,135,136,138,141,144,146,145,143,143,145,145,143,142,141,139,138,137,139,142,143,142,140,138,135,133,134,137,139,140,139,135,131,127,128,131,135,136,137,137,137,138,139,139,138,137,135,131,128,127,130,133,134,131,129,128,130,134,136,136,135,134,132,132,134,136,137,138,138,137,135,132,130,132,134,136,137,136,136,137,139,137,133,131,131,131,131,130,128,128,129,130,131,131,130,128,127,128,130,135,138,138,141,145,148,150,149,148,147,149,150,150,149,146,143,142,144,146,143,139,140,142,142,143,145,146,145,143,144,146,147,148,150,151,152,150,149,146,144,146,150,154,152,148,147,148,148,146,143,142,143,144,143,142,143,145,145,146,148,149,149,147,147,149,151,152,152,153,151,147,146,145,144,145,147,148,149,148,147,145,145,145,147,150,150,149,146,147,151,153,153,154,154,153,152,152,152,152,153,157,159,159,157,156,158,158,155,155,157,158,157,156,155,156,158,158,157,156,156,155,156,156,155,154,156,158,161,163,165,166,167,166,166,166,166,167,167,166,165,165,165,164,162,164,166,168,171,172,168,165,164,159,158,160,162,160,157,157,160,161,159,157,155,155,152,151,153,156,158,160,160,159,160,160,157,153,152,153,156,158,158,159,160,159,160,162,164,161,157,155,154,153,151,150,150,152,153,151,152,154,157,156,153,153,152,149,147,148,147,147,147,149,152,154,155,155,156,157,157,157,155,152,151,152,151,150,150,151,152,153,null],[122,127,134,135,137,141,141,138,135,133,132,130,129,126,122,123,126,128,126,124,123,122,125,126,119,111,108,108,109,108,107,107,107,109,114,116,115,114,113,114,119,121,122,117,113,114,115,115,119,122,120,118,120,121,121,119,117,116,116,115,114,116,118,114,111,111,112,113,116,121,126,127,125,126,124,122,121,124,128,125,124,129,134,136,135,133,133,134,136,137,138,139,137,134,135,138,140,137,135,136,136,137,136,136,138,139,139,140,142,143,141,139,136,133,134,138,142,142,142,142,142,139,137,140,143,144,143,142,140,139,140,143,142,138,136,138,140,141,140,141,143,142,140,139,138,139,141,142,141,138,138,141,143,144,142,139,137,136,135,134,132,130,129,130,131,134,135,136,136,135,134,134,137,141,142,141,140,140,141,142,141,139,138,138,140,141,144,146,146,144,143,144,143,140,139,139,138,136,136,139,143,144,142,138,136,134,132,133,134,136,138,138,136,132,128,128,130,134,136,136,136,137,137,137,137,137,136,132,127,124,124,129,133,132,130,128,128,131,135,136,135,133,131,130,132,135,137,137,136,135,135,134,133,133,134,135,136,136,135,135,135,134,132,130,130,131,131,130,130,130,130,130,131,131,131,130,128,127,130,135,142,144,144,146,150,154,153,150,149,148,148,149,149,149,148,147,146,147,146,142,138,141,144,145,146,147,148,146,145,146,147,148,149,150,151,151,152,152,149,146,149,154,157,153,148,148,151,151,147,142,141,143,147,147,146,146,145,144,146,150,152,151,148,146,148,151,153,153,153,150,147,145,147,149,150,151,150,151,151,149,146,144,144,144,147,149,148,147,147,150,151,151,152,152,150,150,151,153,153,154,157,158,158,157,156,157,157,155,155,156,158,159,157,154,154,157,157,154,154,157,159,159,157,154,155,159,160,160,161,164,166,167,166,164,164,166,166,166,166,166,167,167,165,163,163,164,166,170,170,166,162,161,159,158,158,159,158,156,156,157,156,156,156,157,156,152,151,155,159,160,158,156,158,161,162,159,154,151,152,155,158,158,158,160,160,161,162,162,159,156,154,154,154,152,151,151,150,150,151,152,154,155,153,152,154,153,149,148,148,147,147,148,151,153,153,153,154,155,156,157,157,157,156,153,151,150,149,148,151,154,155,null],[128,132,135,137,138,138,138,136,132,128,127,130,131,126,122,121,120,121,122,123,124,123,124,124,123,117,109,107,108,110,110,112,110,110,115,115,112,112,114,117,121,123,124,120,117,117,118,117,119,121,119,117,119,121,121,118,116,116,116,116,117,120,121,117,114,114,112,112,115,120,124,128,128,126,123,120,118,122,128,131,132,131,132,133,134,135,135,136,137,138,140,141,139,135,135,138,139,137,136,139,141,141,138,137,138,138,139,140,142,142,140,138,136,133,133,136,140,142,143,142,139,138,140,141,142,142,142,141,138,138,141,144,143,140,137,137,138,139,140,142,144,143,140,139,139,140,140,138,137,136,138,141,144,144,140,137,136,138,138,136,134,131,130,132,135,137,138,139,140,141,140,140,142,144,145,144,144,144,145,144,142,140,140,141,142,142,144,146,145,144,142,143,141,137,137,137,136,135,136,138,141,142,141,138,136,134,131,131,132,133,136,136,134,131,128,127,129,133,134,134,135,137,138,135,133,134,134,130,125,123,125,130,133,132,129,128,131,134,135,134,132,130,129,130,134,137,138,138,135,133,132,133,135,136,135,135,134,135,135,135,134,132,129,129,132,133,133,132,134,136,135,132,131,131,131,130,130,131,136,142,146,146,146,148,152,155,153,150,149,147,145,144,145,146,149,150,150,147,143,140,139,142,146,147,148,147,146,146,146,146,146,148,149,150,150,152,154,154,151,148,150,155,156,154,153,152,152,151,147,142,141,144,148,151,151,148,145,144,146,150,152,151,150,150,151,153,155,155,155,152,148,149,151,153,154,154,152,152,152,151,148,145,143,143,145,147,148,148,149,150,150,150,150,150,149,152,154,155,154,155,156,157,157,156,156,157,156,155,155,156,157,158,157,155,155,158,158,156,156,158,161,161,159,155,155,160,161,161,162,164,167,167,164,161,161,163,164,165,166,167,168,168,167,165,164,164,166,169,169,165,160,157,159,162,160,160,160,157,155,155,154,154,156,158,156,152,152,156,159,159,157,155,157,160,162,158,154,152,153,156,157,156,156,159,161,160,160,159,157,154,152,153,153,153,153,152,148,147,148,150,151,151,151,152,153,152,149,148,149,149,150,151,153,153,152,152,152,153,154,156,156,157,157,156,153,150,148,147,149,152,153,null],[137,139,138,139,140,138,136,134,130,125,122,126,129,124,120,118,116,118,121,123,124,124,122,120,122,119,111,107,109,111,113,114,114,114,116,115,110,110,113,117,120,122,125,124,123,123,122,121,120,120,116,115,117,120,119,117,116,116,114,114,118,122,123,121,118,115,113,114,117,120,122,127,128,124,120,119,119,123,130,135,135,132,130,132,133,135,137,137,137,138,140,142,139,137,137,140,140,137,136,140,143,142,139,136,136,136,138,139,140,140,139,138,136,133,132,135,139,142,143,140,138,139,141,140,138,139,141,141,138,138,139,140,141,140,138,136,137,139,140,142,143,141,140,139,139,139,138,135,134,136,138,140,141,140,137,135,135,136,136,135,134,133,133,136,138,139,140,140,141,143,143,143,143,143,144,144,144,145,147,146,142,139,138,140,142,142,144,145,143,141,141,141,140,138,136,136,136,136,137,139,140,141,140,139,137,134,131,130,130,131,133,133,132,129,127,127,130,133,134,134,136,138,137,133,130,131,131,127,125,125,128,131,132,132,130,130,133,135,135,132,129,128,128,131,135,138,139,138,136,132,130,132,134,134,133,132,133,134,134,133,133,132,130,131,134,136,136,136,138,140,139,137,136,135,134,135,136,138,142,146,148,147,145,146,149,150,150,149,149,147,143,142,143,144,147,150,150,145,141,141,144,146,147,148,147,145,143,144,146,146,147,149,151,151,151,153,154,152,150,150,152,152,153,154,155,152,151,150,149,147,147,147,149,153,154,151,147,145,146,148,150,150,151,153,154,155,155,157,157,155,152,153,154,154,154,154,152,151,151,152,150,146,143,143,145,147,147,148,150,151,152,152,151,150,150,153,155,154,153,154,155,155,156,157,157,158,156,154,155,157,158,158,157,157,159,160,160,159,157,156,158,160,160,156,155,158,161,163,163,164,164,164,162,160,160,162,163,165,166,167,168,170,168,166,165,164,163,167,169,166,161,159,161,164,162,160,159,156,155,156,156,154,155,155,154,153,153,154,155,155,155,154,155,158,159,157,153,152,153,156,156,156,157,160,161,159,159,158,157,155,152,151,152,152,153,151,148,147,148,148,148,147,149,152,152,151,149,146,147,151,154,153,153,152,152,152,152,151,151,154,155,156,156,156,155,153,150,148,147,148,150,null],[143,143,142,141,140,138,135,132,127,122,118,120,122,119,117,116,116,120,124,123,122,123,121,117,118,117,112,108,109,111,114,114,115,117,117,115,113,110,110,113,115,117,122,126,125,125,123,122,120,117,115,115,117,118,118,117,117,115,111,111,118,123,124,124,119,114,113,117,120,122,124,128,128,122,119,120,123,128,134,135,132,130,131,133,134,135,137,137,137,138,140,142,140,138,140,142,140,137,136,139,142,141,138,135,134,134,136,138,137,137,138,138,135,133,133,136,139,141,140,139,138,139,139,137,135,137,140,141,140,138,136,134,136,138,138,136,138,140,140,141,141,139,138,137,137,137,136,134,133,137,139,139,137,135,134,132,132,132,132,132,133,135,137,139,140,139,139,140,140,140,141,141,141,142,142,142,142,144,146,146,141,138,137,138,141,143,144,142,141,139,139,140,141,139,137,136,136,137,138,139,139,139,139,139,138,135,132,131,131,131,131,131,130,128,127,129,132,135,136,136,138,138,134,130,129,129,128,127,126,127,129,130,132,133,133,132,132,133,133,131,128,127,129,132,135,136,136,136,134,131,130,132,133,131,130,131,133,133,132,130,131,133,133,134,136,137,137,138,140,141,142,142,141,140,141,142,144,143,144,146,148,147,144,143,144,145,147,148,147,145,142,142,143,143,145,147,147,145,143,146,149,148,148,147,145,143,142,144,146,147,148,151,152,152,152,152,151,148,149,151,152,151,151,153,152,149,147,149,152,153,153,151,151,152,155,153,150,147,146,147,149,150,151,154,155,154,154,156,157,157,156,156,155,153,153,152,150,150,150,152,150,147,144,145,147,147,147,149,151,153,154,154,154,152,151,151,152,151,151,154,153,153,157,159,159,158,156,155,156,159,161,160,158,160,162,161,161,161,156,153,154,159,160,157,155,157,160,163,163,161,161,161,163,164,164,164,164,166,167,168,169,170,168,165,164,162,160,163,168,167,165,164,163,163,159,157,155,154,157,159,158,155,153,153,153,154,152,150,150,152,152,153,154,157,157,155,153,152,154,156,157,158,160,161,161,161,160,159,158,157,155,152,151,151,150,149,149,150,151,149,146,146,147,150,151,151,148,145,145,150,154,153,150,150,151,152,152,149,150,154,155,155,153,153,155,156,154,150,147,146,148,null],[145,144,140,137,134,131,129,128,124,119,115,116,117,117,116,118,120,123,124,122,120,122,120,116,117,116,112,108,107,110,112,111,114,117,117,116,116,112,108,108,109,112,119,123,125,124,122,120,117,115,116,117,117,117,117,119,119,115,111,113,121,126,126,123,118,114,115,120,124,127,128,129,127,122,120,122,126,131,133,129,126,129,134,135,135,135,135,135,137,138,140,141,140,140,140,139,138,136,136,137,138,139,139,137,136,135,135,135,135,135,137,138,136,134,135,137,138,137,137,138,139,138,135,135,135,137,139,141,141,138,135,134,134,135,134,134,137,140,142,140,138,137,136,135,134,135,136,136,136,138,139,139,136,132,131,130,130,130,131,133,135,137,139,139,138,137,137,138,138,138,139,140,140,142,143,142,142,144,145,143,140,138,139,140,143,146,144,141,138,138,138,139,140,139,137,136,136,137,137,138,137,136,137,137,137,136,135,134,132,130,128,128,128,128,128,130,133,136,137,138,136,134,132,129,128,128,127,128,129,130,129,130,132,134,134,133,132,132,132,131,128,128,131,134,135,134,133,132,131,130,131,133,132,130,129,131,133,132,130,129,131,135,138,139,139,138,137,138,139,140,143,144,143,143,144,146,147,146,143,143,145,145,142,140,142,145,147,147,144,141,141,143,142,141,143,145,146,146,147,148,149,148,146,144,143,143,144,145,146,146,146,148,150,152,153,151,148,147,148,151,151,151,151,152,151,150,148,147,150,154,156,155,153,152,153,152,150,148,148,150,150,150,151,153,154,153,153,154,154,155,156,156,154,152,152,151,150,149,149,151,151,148,146,146,147,148,149,151,153,153,153,154,155,154,153,152,151,151,152,154,154,154,157,159,159,159,157,157,157,159,162,162,159,161,163,161,162,162,157,152,156,160,161,158,156,158,160,160,159,160,163,163,165,168,167,165,164,166,168,169,169,167,165,162,160,159,158,162,167,168,167,166,164,160,156,155,156,158,159,159,157,153,152,153,155,156,153,149,149,150,150,152,155,158,157,154,152,153,155,157,158,159,159,161,163,162,160,158,159,160,159,155,153,153,151,149,152,153,151,150,148,146,146,148,150,150,148,145,145,148,150,150,148,148,150,152,150,149,151,155,156,155,153,153,155,155,153,149,146,146,147,null],[144,139,133,129,127,124,124,124,123,119,115,114,116,116,118,120,122,123,122,120,119,121,120,118,117,116,114,109,106,108,110,110,112,115,116,118,119,115,109,106,105,109,116,121,122,122,120,118,116,114,114,115,117,117,118,120,120,117,116,119,125,128,125,122,119,117,118,122,127,131,132,131,128,123,121,123,129,132,130,123,121,128,134,135,134,133,132,134,135,135,135,136,139,140,138,135,135,135,135,135,136,138,141,140,138,136,134,133,134,135,137,137,136,135,136,137,136,135,136,138,138,136,134,134,136,137,138,139,140,139,138,138,137,134,131,132,135,139,141,139,136,136,136,135,134,134,137,139,140,137,136,136,135,132,129,128,129,131,133,135,137,138,137,137,137,137,137,136,138,140,141,142,142,144,144,143,144,145,145,142,139,139,141,144,146,147,145,141,138,136,137,138,139,138,135,134,135,136,137,137,136,135,134,134,136,137,137,135,133,129,127,126,127,128,129,131,134,136,138,136,132,129,129,129,128,127,128,130,132,132,132,133,135,135,134,133,133,133,134,132,130,131,135,137,136,133,131,130,129,129,132,133,133,131,131,133,134,134,132,132,134,138,141,141,140,138,136,137,138,140,143,143,142,142,143,145,146,145,141,140,143,143,140,140,143,147,147,144,140,139,141,142,141,140,142,144,145,146,148,149,148,146,144,142,144,146,147,148,148,146,145,145,148,151,151,149,148,148,149,150,152,153,153,152,153,155,153,148,146,150,155,156,155,154,152,150,148,148,150,152,151,150,151,152,153,151,151,152,152,154,155,155,154,152,152,151,150,148,148,150,151,149,147,147,147,148,151,154,154,153,152,152,154,156,157,155,153,152,152,154,155,155,156,157,158,158,158,158,158,159,162,163,161,162,163,161,162,162,156,154,158,163,163,161,159,160,160,159,157,160,165,164,165,168,168,166,165,167,169,169,167,164,163,161,158,157,157,163,167,166,165,164,162,159,156,158,162,163,160,158,155,154,154,156,159,158,155,152,152,151,149,150,155,159,159,153,151,154,156,159,160,158,158,162,164,162,158,156,158,160,160,158,157,157,154,152,154,154,152,151,150,149,147,146,149,149,147,145,146,147,147,146,145,147,149,149,149,151,154,155,155,154,153,153,155,152,149,147,146,148,150,null],[139,132,127,123,122,122,122,122,123,121,117,117,118,118,119,120,120,121,120,120,120,121,121,119,117,116,116,111,106,107,109,110,109,112,117,120,118,116,113,110,107,109,116,120,120,120,119,117,115,113,110,109,113,116,118,120,120,120,121,123,125,125,123,122,122,122,123,124,127,132,135,135,131,126,122,124,131,133,127,121,120,124,130,132,130,128,130,134,134,128,126,129,136,139,137,134,133,133,134,135,136,137,140,141,139,137,136,136,135,135,135,134,134,135,135,135,135,135,136,136,136,135,134,134,136,136,137,139,140,139,139,141,141,137,132,130,133,136,137,136,136,136,137,137,136,136,138,141,140,135,131,131,132,131,128,128,130,133,135,136,136,136,135,137,138,138,137,136,139,144,145,144,143,145,145,144,145,146,145,142,140,141,142,145,146,147,145,142,138,136,135,136,137,136,134,133,134,137,138,138,137,136,133,133,136,138,137,135,132,129,126,126,127,129,130,132,134,136,135,133,129,127,127,129,129,127,128,131,133,134,135,137,137,135,133,133,134,135,136,134,133,134,137,138,135,133,132,131,130,130,132,135,135,134,134,135,136,137,138,137,138,141,142,140,137,136,136,137,138,140,141,141,141,140,140,143,143,141,137,138,142,142,139,141,145,147,144,141,141,142,142,140,138,139,141,142,143,144,146,147,146,144,143,143,148,151,150,150,149,149,147,145,147,149,148,148,148,149,151,152,154,156,155,154,157,159,157,152,149,149,153,156,156,154,152,150,149,148,149,150,150,149,151,152,152,150,150,152,152,154,156,156,156,155,154,152,149,147,147,149,150,148,147,147,147,147,150,152,153,153,153,152,154,157,159,159,157,153,151,152,153,154,155,155,154,155,157,159,160,161,164,164,163,163,163,162,162,161,157,155,158,161,163,163,162,161,161,160,158,159,162,161,162,167,168,167,167,168,169,168,165,163,163,164,160,156,157,162,167,165,163,163,161,158,158,161,165,164,161,157,157,158,158,159,160,158,157,156,157,154,149,149,154,160,159,151,150,155,156,159,161,159,158,162,163,160,156,155,157,158,159,160,160,160,158,156,155,155,154,152,152,152,149,147,149,149,146,146,146,146,145,144,145,146,147,147,150,153,154,153,154,154,151,151,153,151,148,146,147,151,154,null],[132,127,125,122,121,122,122,122,123,122,120,120,120,119,120,120,119,119,118,118,120,122,121,120,118,116,117,113,108,108,109,108,105,109,118,119,114,114,116,115,113,113,116,119,118,117,115,113,113,112,107,106,109,115,119,120,120,121,124,125,123,122,123,124,124,124,124,125,128,133,138,138,134,128,124,123,128,129,124,121,120,121,124,126,126,126,130,134,133,128,123,124,132,138,137,134,132,133,133,134,134,136,138,141,141,140,139,138,136,134,132,132,133,133,133,134,136,137,135,134,135,135,135,134,134,135,138,139,139,139,140,142,142,139,135,133,133,133,133,133,134,136,137,138,138,138,139,140,138,132,128,128,130,130,128,128,131,134,136,136,136,135,135,137,140,140,139,138,140,143,144,145,145,145,145,144,145,147,145,143,142,143,144,145,145,146,145,143,140,136,135,134,134,134,134,134,136,138,139,139,139,137,135,134,135,135,134,133,131,128,126,127,129,130,131,133,134,133,131,129,127,126,126,128,128,129,131,133,132,133,136,138,137,136,134,134,135,136,136,136,136,135,135,135,134,133,134,133,132,132,134,137,138,138,138,138,138,140,141,141,141,142,141,138,135,134,136,138,139,139,139,139,139,138,139,140,140,137,135,138,142,142,140,142,145,145,141,140,143,146,144,140,137,138,141,141,139,140,143,144,144,144,144,146,149,151,150,148,148,149,149,148,148,149,148,147,148,151,153,153,155,155,153,151,154,157,158,158,154,151,153,155,155,152,151,150,150,149,147,147,149,151,151,152,150,149,150,152,153,155,156,156,156,156,156,154,150,146,145,146,147,147,149,150,149,148,148,149,150,152,153,154,155,157,158,160,158,154,151,151,152,153,154,153,152,154,157,158,160,163,165,165,165,164,165,164,162,161,159,158,157,158,161,164,165,163,164,163,160,157,158,159,163,165,166,167,168,169,169,167,165,162,163,164,160,157,156,160,164,164,162,161,160,159,160,161,161,162,162,161,160,161,160,160,160,159,159,158,158,155,150,149,153,158,156,150,150,156,157,158,161,160,158,160,160,158,155,155,154,156,159,160,161,160,159,156,154,154,155,153,152,151,149,148,151,152,150,148,147,146,146,146,146,144,144,147,151,153,153,152,154,154,152,150,150,151,150,147,148,151,153,null],[128,126,127,125,123,122,123,123,122,121,122,121,120,120,120,119,120,119,118,117,118,121,121,120,120,119,118,114,110,111,109,103,101,106,115,116,111,112,115,117,118,116,116,115,116,114,111,109,110,111,109,108,111,117,121,122,121,121,124,125,123,123,124,124,124,124,125,128,132,135,136,135,133,129,124,122,123,122,120,120,121,121,121,122,125,128,132,135,135,132,127,124,129,135,135,133,133,133,132,131,132,133,135,139,141,142,140,138,136,133,130,130,132,132,132,134,136,136,133,133,135,137,136,133,132,135,138,139,137,137,139,140,139,137,137,138,135,133,132,133,133,134,136,137,138,140,141,141,136,129,126,128,130,130,130,131,133,135,136,137,137,136,136,137,140,142,142,141,140,140,141,143,144,144,144,144,146,146,144,143,144,145,145,144,144,145,144,143,141,138,136,134,134,134,135,137,138,138,138,139,139,138,138,136,134,132,132,131,129,127,126,128,130,132,133,134,133,131,128,126,125,125,126,127,128,131,134,134,132,132,136,137,136,136,136,135,135,135,136,137,136,134,132,131,131,132,133,134,134,135,137,139,141,141,142,141,140,140,141,141,141,141,139,137,134,133,135,138,138,137,136,137,137,138,138,138,137,135,135,138,141,141,140,141,142,141,140,141,145,147,144,140,138,139,141,141,138,138,141,142,142,143,144,145,146,146,146,145,144,147,149,149,149,149,149,147,147,152,155,152,151,151,148,147,149,153,158,160,157,153,152,153,152,150,148,150,150,149,146,147,150,152,151,150,149,149,151,153,155,155,153,153,154,155,155,153,150,146,144,144,145,148,152,154,153,149,148,147,147,149,152,155,156,156,156,157,157,155,154,153,153,153,153,153,153,155,157,157,159,161,163,164,164,164,166,165,164,162,161,160,157,158,161,164,165,165,166,165,160,156,156,159,163,163,162,163,166,169,170,168,165,163,162,162,159,157,156,158,161,162,162,160,161,161,161,158,155,158,163,165,161,158,159,160,159,160,159,158,157,153,150,150,153,155,152,150,152,156,156,156,158,158,157,157,157,156,155,153,152,155,159,159,159,159,157,153,151,152,155,154,152,149,149,151,153,155,154,150,148,148,149,148,146,144,144,149,152,151,151,153,156,156,152,149,149,151,151,148,148,149,150,null],[127,127,128,127,125,122,121,121,121,121,121,121,121,122,119,116,119,122,123,119,117,119,121,120,121,121,119,116,113,111,108,101,100,104,110,113,113,113,114,116,118,117,114,112,112,110,109,110,112,112,112,114,116,120,123,123,122,122,125,125,125,124,124,123,123,127,130,133,135,133,129,128,129,127,124,121,120,119,118,121,124,125,123,122,126,130,134,136,136,134,131,129,130,131,131,131,132,132,131,129,130,132,133,136,139,140,138,135,134,133,131,130,131,132,133,134,135,134,133,135,138,138,136,133,132,134,136,136,134,134,136,139,138,136,137,138,136,133,133,133,133,134,135,137,139,141,142,139,133,128,127,130,132,133,134,133,134,136,138,139,139,138,137,137,139,142,143,144,142,139,140,141,141,143,144,145,146,147,144,143,144,145,145,143,143,144,143,143,142,140,138,138,137,135,135,137,138,138,138,138,139,139,139,137,134,134,134,132,129,126,126,129,132,133,134,134,133,131,128,127,126,126,127,129,131,134,136,135,134,135,136,136,135,135,135,133,133,134,135,136,135,133,131,129,129,131,133,135,136,137,138,139,141,142,142,141,140,139,139,138,139,139,137,135,134,133,134,136,137,136,134,135,136,137,136,137,136,135,135,138,139,139,138,138,138,138,138,140,143,143,142,141,140,140,141,142,142,141,141,141,141,141,141,140,140,140,141,141,141,144,146,146,147,147,148,147,147,150,151,148,146,147,147,147,148,152,156,158,156,152,152,153,152,150,149,150,149,147,147,149,151,151,149,147,148,151,153,155,156,154,151,150,152,153,151,148,146,146,145,145,145,148,152,154,154,152,150,148,147,148,151,154,154,153,153,156,157,156,156,158,156,154,154,154,155,155,156,157,157,159,159,160,161,162,165,166,165,164,162,160,158,161,165,164,164,166,167,164,159,156,156,158,160,161,160,161,166,171,171,168,165,165,164,163,161,158,155,156,159,160,160,160,162,163,161,156,153,155,161,164,160,154,156,159,158,158,156,156,155,153,149,150,152,152,150,152,154,156,154,153,155,155,154,155,156,155,154,153,151,153,156,157,157,156,154,151,149,150,153,156,155,153,151,153,155,156,155,152,150,151,150,147,146,145,146,149,151,149,149,154,157,156,151,147,147,149,149,147,147,149,150,null],[126,127,128,127,126,123,120,119,121,122,121,120,122,123,121,117,117,122,126,123,117,117,118,119,120,120,119,118,115,110,106,103,102,103,106,110,113,113,113,116,117,116,114,110,109,109,112,115,116,115,116,117,120,123,124,122,121,123,126,127,126,125,123,122,124,127,131,134,136,131,123,122,125,125,124,121,121,120,120,122,126,129,128,125,126,129,132,134,135,132,131,133,131,129,129,130,131,131,130,128,129,132,133,134,135,137,136,133,134,135,132,130,131,133,133,133,132,132,134,137,139,138,136,133,132,133,134,134,133,133,136,138,138,135,135,136,136,134,133,133,133,134,136,138,139,140,139,136,131,128,128,130,134,137,137,136,135,137,139,141,141,140,138,136,138,141,145,147,143,140,140,140,140,142,143,145,147,148,146,144,144,145,144,142,142,143,142,141,140,140,140,141,140,137,135,135,137,137,137,138,139,139,138,137,137,137,135,132,128,127,127,130,133,134,134,132,131,130,130,129,127,127,130,133,135,135,135,135,136,138,137,135,133,132,130,129,131,134,135,134,133,132,131,129,129,131,135,137,138,138,138,139,140,140,138,137,138,138,136,136,137,138,136,135,136,135,135,136,137,135,133,134,136,137,136,136,137,136,137,138,137,137,136,136,136,136,137,138,140,139,139,141,141,140,141,144,146,145,143,142,142,141,139,137,137,138,140,140,140,141,141,142,143,144,145,146,146,146,145,144,144,145,148,150,151,153,154,153,150,150,153,154,151,150,150,149,147,147,148,149,149,148,147,146,148,152,154,154,155,153,150,150,152,153,150,145,144,145,146,146,145,147,148,150,152,154,154,152,149,149,150,151,151,151,154,156,159,159,160,162,160,157,157,156,154,154,155,157,157,157,156,156,158,160,162,164,165,165,162,159,158,162,166,164,163,166,166,163,161,161,159,156,156,161,161,160,166,171,171,167,164,165,165,164,163,160,155,155,157,158,159,159,162,163,161,158,155,154,158,161,157,152,153,157,158,156,154,153,155,155,151,149,150,149,149,154,156,155,153,153,153,154,155,157,157,155,153,152,151,152,154,156,155,154,152,150,148,149,153,157,157,156,155,154,155,155,154,153,153,152,149,146,146,146,146,147,148,146,149,154,155,153,150,147,145,147,148,147,149,152,153,null],[122,124,127,126,124,122,119,119,121,123,123,121,121,123,122,119,116,118,125,123,117,115,115,116,117,117,118,118,115,110,107,108,107,104,106,107,108,110,113,116,117,115,114,109,107,111,117,118,118,117,118,118,120,123,123,120,119,123,127,128,127,125,124,123,123,123,126,130,134,130,124,123,125,127,125,123,122,122,122,124,126,128,127,125,124,123,126,131,134,131,130,133,131,129,129,130,131,130,129,128,130,133,135,134,133,135,136,134,134,135,133,131,131,133,133,132,131,132,134,136,138,137,135,132,131,133,135,135,135,136,137,138,137,135,134,134,135,134,133,132,133,135,138,141,140,137,134,132,130,128,128,131,135,138,137,136,135,136,138,140,141,140,138,137,139,143,147,148,144,141,142,143,141,141,142,143,146,148,147,144,143,144,143,142,141,142,141,139,137,138,140,140,139,137,134,133,134,136,137,138,139,138,137,137,139,138,134,130,127,127,128,131,133,134,133,131,129,129,130,130,129,130,133,136,136,134,134,136,137,137,135,133,130,128,126,127,131,135,135,132,131,131,131,130,130,133,136,138,138,137,137,138,137,136,133,133,134,135,134,135,136,136,135,136,138,138,137,138,138,136,134,135,136,137,137,137,137,138,139,139,137,136,135,136,136,136,137,138,139,139,139,141,142,141,141,144,147,146,144,144,145,143,141,140,141,142,143,144,142,139,138,139,140,140,141,143,144,143,142,143,144,146,150,153,154,153,151,148,147,149,151,152,149,148,148,147,147,147,147,148,148,148,148,148,150,152,151,150,150,150,151,153,155,157,154,148,146,146,146,146,146,146,146,147,150,154,156,156,154,152,150,149,150,152,155,158,161,162,162,162,161,160,160,156,151,152,156,159,159,157,156,155,157,159,160,161,163,164,162,159,159,161,164,163,164,165,165,164,164,165,161,155,155,161,161,161,167,170,167,164,162,163,163,162,163,161,156,154,154,157,158,158,158,160,161,160,156,154,156,159,156,153,151,154,158,156,153,152,155,156,153,149,148,147,150,155,156,153,153,154,155,156,158,159,158,155,153,152,150,152,155,155,153,152,151,150,148,149,154,155,155,156,155,154,155,155,154,154,154,151,149,148,148,147,144,144,145,145,149,154,152,149,150,148,145,146,148,149,152,155,155,null],[118,122,126,126,123,120,119,120,123,124,124,121,119,119,119,118,114,114,119,119,116,113,112,112,113,114,115,116,113,111,112,114,112,108,105,104,105,108,113,117,117,114,113,109,107,114,120,118,116,118,118,118,118,120,122,122,122,124,127,128,126,125,125,125,123,120,122,127,130,128,125,125,128,131,129,125,121,121,122,123,123,123,122,120,118,118,121,129,133,131,130,131,130,128,129,130,130,129,128,129,133,136,136,134,133,134,136,134,134,133,132,131,131,131,131,131,131,132,134,137,137,136,134,132,133,135,136,136,136,137,136,136,135,134,132,132,132,134,135,135,136,138,141,142,140,137,133,129,128,128,129,133,136,137,135,133,133,134,137,138,138,138,139,139,141,145,148,148,144,142,144,145,144,143,142,142,144,146,146,144,143,144,144,141,139,139,140,138,136,135,136,138,138,137,135,132,133,135,138,139,138,136,136,137,138,137,132,129,127,127,129,132,133,133,131,130,130,130,131,132,133,134,135,134,133,134,135,137,138,137,133,130,127,126,127,129,134,136,134,131,129,130,131,132,132,133,135,135,135,135,135,135,134,132,130,131,132,133,133,134,135,135,135,136,137,138,139,138,138,138,137,137,137,136,136,137,138,140,141,140,139,138,137,138,140,141,140,139,140,141,142,144,146,145,143,144,145,146,145,146,147,144,144,146,147,148,149,148,144,142,140,139,139,139,140,142,143,142,142,144,146,148,151,153,154,152,150,150,149,149,150,150,149,148,146,145,145,147,149,149,149,149,150,150,151,150,149,147,148,150,152,155,157,159,157,153,151,149,147,146,147,148,149,150,152,154,156,158,157,155,151,149,149,152,154,158,160,159,159,160,161,161,159,156,153,153,157,162,162,159,158,158,158,159,159,161,163,164,161,160,163,162,161,161,163,164,164,164,165,165,160,155,155,157,158,160,166,167,164,161,161,162,161,160,162,160,156,153,153,156,158,157,156,156,158,157,156,155,156,158,157,155,153,154,155,154,151,151,153,156,156,153,148,148,151,153,154,152,152,154,156,157,158,159,158,156,154,152,150,152,155,154,152,151,151,151,149,149,153,154,153,152,152,154,155,155,155,155,154,151,150,151,150,147,145,144,143,144,149,153,149,146,150,150,145,144,146,149,154,156,155,null],[119,122,125,125,122,119,118,120,124,126,125,121,117,116,116,115,114,114,115,116,114,112,110,110,113,114,114,114,113,113,116,117,117,111,105,102,104,107,111,115,115,112,111,110,110,116,120,118,116,117,119,120,118,118,121,124,125,126,127,128,126,126,126,126,123,120,121,124,125,123,121,125,131,134,132,126,120,118,120,119,118,117,116,115,115,117,122,128,132,131,130,130,129,128,129,130,130,130,129,131,134,136,136,133,133,135,135,134,133,132,132,131,130,130,130,131,132,133,135,136,137,135,133,133,134,136,137,135,135,136,135,134,133,133,131,130,130,133,137,138,140,142,141,140,139,138,135,130,127,128,131,134,135,135,133,132,132,134,136,136,136,136,138,140,142,145,147,147,145,144,144,145,146,146,144,143,143,144,143,143,144,145,144,140,137,137,139,139,137,134,134,135,137,137,136,134,133,135,138,139,137,135,135,135,135,133,130,130,129,127,129,132,133,131,130,130,131,131,132,133,135,136,135,132,131,134,137,137,137,136,132,128,125,127,129,132,136,136,133,130,129,130,132,133,133,133,132,132,133,133,133,132,132,132,132,133,134,134,133,134,134,134,135,135,135,137,138,138,137,139,141,140,136,133,134,137,140,142,143,142,142,140,138,140,142,143,142,142,143,144,145,147,149,149,147,144,145,147,148,149,148,146,146,149,151,152,152,150,147,145,143,141,140,140,142,144,145,144,144,144,146,148,150,153,154,150,148,152,153,150,149,150,150,149,146,144,144,146,150,151,151,151,151,151,151,149,149,149,150,152,153,153,155,158,158,156,155,153,150,147,147,150,153,153,153,153,154,157,158,157,153,150,150,152,154,156,157,155,156,159,161,160,158,157,158,156,158,162,163,161,161,161,161,159,159,161,163,163,161,164,167,165,160,159,159,161,163,165,164,162,158,155,153,153,155,159,164,165,162,159,160,162,162,161,161,159,155,153,154,155,157,157,156,154,154,153,153,154,157,159,158,157,155,154,153,153,151,150,151,154,156,155,151,150,151,150,151,152,153,154,156,156,156,156,157,156,154,152,150,151,153,151,150,152,153,152,149,148,151,154,153,149,149,151,153,155,155,156,155,152,151,151,149,148,148,146,144,144,148,151,147,145,150,152,147,144,145,148,153,154,152,null],[123,122,121,122,122,119,117,119,125,129,127,123,120,119,117,115,116,117,117,117,114,110,109,111,115,116,113,113,115,115,116,117,117,114,107,104,105,106,108,111,111,109,109,111,113,116,119,118,117,118,120,121,120,119,120,122,124,126,127,127,127,126,126,126,124,121,120,121,120,116,114,122,131,133,131,125,120,118,118,116,114,116,116,116,117,119,125,128,130,131,130,130,130,130,131,132,132,132,131,132,134,135,133,133,134,135,134,133,133,133,133,132,132,131,131,131,133,134,134,134,134,133,133,133,134,136,136,134,133,133,134,133,132,131,131,130,131,134,138,140,142,142,140,136,137,139,138,132,127,127,131,133,134,133,134,134,134,134,136,137,137,137,137,138,140,141,143,145,146,144,143,143,145,147,147,146,145,143,142,143,146,147,144,140,137,138,139,139,139,137,135,135,135,135,136,136,134,134,136,137,137,135,134,134,132,130,130,130,129,128,129,132,133,131,129,129,131,132,133,135,135,135,133,132,134,136,136,134,134,134,132,128,126,127,131,134,135,134,132,131,130,131,132,132,133,132,131,132,133,133,132,134,135,135,135,135,136,137,137,135,134,133,135,135,135,137,138,138,138,139,142,141,135,131,133,138,142,143,144,144,142,139,137,139,141,141,141,142,144,145,145,148,150,152,149,146,147,150,152,151,149,148,147,149,150,152,153,153,150,147,144,142,143,143,144,147,149,147,145,144,143,143,147,153,154,148,146,150,152,150,149,149,148,147,146,144,144,146,148,151,152,152,150,150,150,149,150,153,155,154,152,151,153,156,157,155,155,154,151,146,146,149,151,149,150,150,152,155,157,157,154,150,151,154,154,153,152,153,157,160,161,158,157,159,162,161,160,160,161,162,163,163,163,161,160,161,162,163,164,167,168,167,163,159,157,158,162,164,162,159,157,154,152,153,156,161,163,163,161,158,160,163,164,162,161,159,157,155,154,154,155,157,158,156,154,151,151,152,155,158,159,157,155,154,154,155,152,149,149,152,154,153,151,150,149,148,150,153,155,157,158,157,154,154,154,153,151,151,150,150,148,146,148,152,154,152,148,147,150,154,153,149,147,148,151,152,153,156,157,155,152,149,149,149,150,147,144,144,146,146,145,147,151,151,147,145,146,148,151,151,148,null],[126,123,120,123,123,121,118,120,126,130,129,126,123,121,119,117,117,118,118,118,115,109,109,114,119,120,115,113,115,114,114,114,116,114,111,107,105,105,105,107,108,107,108,109,111,113,115,116,116,117,119,121,120,118,118,118,120,122,125,127,127,126,126,127,126,123,120,119,119,116,113,119,128,131,130,127,123,121,119,116,115,117,120,122,123,124,127,129,129,130,129,129,131,132,132,132,133,134,133,132,132,132,131,133,134,134,133,132,133,134,134,133,133,132,132,133,133,133,132,131,131,130,132,133,134,135,135,135,132,130,130,131,132,131,131,131,132,135,138,139,140,141,138,134,135,137,137,132,127,127,130,132,133,135,137,138,137,136,136,138,139,139,138,138,138,139,141,144,146,144,142,141,144,146,148,148,147,145,144,145,147,148,145,141,139,140,140,140,140,139,137,136,135,134,135,135,133,133,134,135,135,135,135,134,131,129,130,131,129,128,129,132,133,131,130,130,132,133,134,135,136,133,131,132,135,137,135,132,132,133,132,130,128,129,131,133,133,131,130,131,131,132,132,132,132,131,131,132,134,134,134,136,137,136,136,136,138,140,140,137,134,133,135,136,137,138,140,140,139,139,142,142,138,134,135,140,143,144,145,144,141,137,136,137,139,138,140,143,145,145,145,148,152,153,150,147,149,151,152,152,151,150,150,149,150,152,154,154,152,148,145,144,145,146,146,147,150,149,146,143,140,140,144,150,151,148,147,150,151,148,147,146,146,146,147,146,146,147,148,149,150,149,148,149,149,149,151,153,153,152,151,150,153,156,156,154,153,152,149,146,145,148,148,145,147,151,153,154,155,156,154,151,151,152,151,149,149,153,158,160,158,156,155,157,162,163,162,161,161,162,164,164,164,161,160,161,163,164,165,166,166,166,164,160,157,156,159,160,159,157,154,152,151,154,159,163,163,162,159,158,160,163,164,161,160,160,160,157,155,153,154,157,158,158,156,154,151,150,152,156,158,156,152,152,154,155,152,148,148,151,151,150,150,150,151,151,152,154,157,158,158,156,154,154,154,151,149,150,151,151,147,146,147,151,152,151,147,147,149,151,150,148,148,149,151,152,153,156,158,157,153,151,150,150,149,146,143,145,144,142,143,147,149,148,145,146,148,149,149,147,145,null],[125,124,123,126,126,122,121,123,126,128,129,127,124,121,120,118,117,115,114,115,115,112,112,117,121,122,117,114,114,113,113,113,115,114,112,109,107,105,105,106,108,109,108,107,107,109,111,112,114,116,118,119,119,117,115,116,116,118,122,126,127,126,127,128,129,126,121,120,123,120,116,118,124,129,131,131,129,127,125,121,118,118,123,128,129,128,129,128,128,129,129,128,130,132,131,131,132,134,133,131,131,130,130,132,135,134,131,130,131,132,133,132,132,133,134,134,133,131,131,130,129,130,132,134,134,134,135,135,132,128,127,129,132,131,131,131,134,136,137,137,137,139,136,133,134,135,134,130,127,127,129,130,133,137,139,139,139,138,137,139,140,141,140,139,139,140,141,144,145,143,141,141,144,146,146,146,148,148,146,146,148,148,145,142,140,140,141,140,139,139,138,137,136,135,133,131,131,132,134,134,134,134,134,132,130,130,130,130,128,128,130,132,132,131,132,133,134,134,134,135,136,133,131,131,134,135,134,132,131,131,131,131,132,131,132,133,131,128,128,130,132,133,133,132,132,131,131,133,136,136,136,137,137,136,135,135,137,139,140,138,136,135,136,137,138,140,142,142,141,140,142,144,142,139,139,141,143,144,145,143,140,137,135,137,139,140,142,144,145,144,145,149,153,153,150,147,147,148,149,150,151,151,152,151,151,153,155,155,152,149,148,147,147,147,146,147,149,149,147,143,140,139,141,145,148,149,150,152,150,147,144,144,146,148,149,149,149,149,149,148,147,145,145,147,148,149,150,150,148,148,150,152,155,157,156,154,152,150,147,146,146,149,148,147,149,152,154,154,155,156,155,151,150,150,149,148,149,153,155,156,155,153,153,155,159,161,162,162,162,163,164,165,165,163,161,162,164,165,162,160,162,163,162,160,157,155,156,157,158,155,152,150,152,156,161,164,164,161,158,156,158,162,161,157,157,159,160,158,155,154,154,155,155,156,158,157,154,150,151,155,156,154,151,151,152,153,151,147,148,150,149,148,149,151,154,155,154,154,157,156,154,153,154,156,155,151,149,151,152,152,150,149,149,149,150,149,147,148,150,149,147,148,150,152,154,155,156,157,157,156,156,155,153,150,148,145,143,146,146,143,143,145,146,144,143,146,149,148,147,145,145,null],[127,127,125,128,127,123,123,125,126,126,125,123,122,120,119,118,115,112,111,113,116,117,117,119,120,121,119,119,119,116,113,113,115,115,113,111,110,108,108,109,110,111,110,108,106,108,110,112,114,117,117,117,117,116,114,115,114,115,120,125,127,127,128,129,129,129,126,125,125,122,117,118,124,129,131,131,132,133,131,125,120,120,125,131,131,130,131,130,129,129,129,128,129,130,131,131,131,132,132,130,130,130,129,130,133,133,131,128,127,128,131,131,131,132,133,133,132,131,132,132,131,131,133,134,134,133,133,133,133,131,130,130,130,130,130,131,133,136,136,135,135,135,134,133,134,134,132,129,127,127,127,130,132,134,136,137,139,140,140,140,142,142,141,140,140,142,144,145,145,143,142,143,145,146,145,145,146,147,145,145,146,146,143,141,139,139,139,137,135,135,136,136,137,135,133,130,130,131,132,132,133,133,131,129,129,130,130,129,127,128,130,130,129,130,132,134,135,134,134,135,135,133,132,131,132,133,133,132,132,131,131,132,133,133,132,132,130,128,128,129,132,134,134,133,132,133,134,136,138,138,138,138,137,136,135,135,135,137,137,137,136,137,138,139,140,141,141,143,143,142,142,143,142,141,143,144,144,143,142,141,139,138,138,138,140,142,143,142,142,143,146,151,153,152,149,145,144,145,146,146,147,149,150,150,150,151,154,153,151,150,151,151,149,148,147,148,149,149,147,144,143,141,141,144,148,151,152,152,150,146,144,146,149,149,150,150,151,150,149,147,145,144,144,146,148,149,148,148,148,149,150,152,155,157,158,157,152,149,147,146,147,150,151,151,150,150,151,153,156,157,156,154,151,150,151,152,153,152,151,152,152,152,154,156,157,158,158,160,162,163,165,166,166,165,164,162,164,165,160,156,159,160,158,156,155,155,156,157,157,154,152,152,154,158,163,165,163,159,157,155,156,159,158,155,155,156,157,155,153,152,152,153,152,153,156,156,154,150,151,155,155,153,153,152,151,150,149,148,148,150,148,147,149,152,155,154,153,153,155,154,151,150,153,156,155,153,153,154,153,151,150,149,148,148,149,149,148,150,152,149,147,149,151,153,154,156,158,158,157,156,157,158,155,151,149,147,147,148,149,148,146,145,143,142,144,147,147,147,146,146,148,null],[130,129,126,127,126,123,124,126,126,123,121,118,118,117,118,117,115,112,112,115,118,121,120,119,120,122,122,124,123,120,117,116,118,118,116,113,111,110,110,111,112,113,114,112,109,109,110,112,115,117,117,116,116,117,115,114,113,115,119,123,124,126,127,127,127,129,130,129,126,121,118,121,127,132,131,129,132,134,132,126,121,122,127,131,131,131,133,131,129,129,129,128,128,130,132,132,130,130,130,129,129,129,128,129,131,132,131,128,125,126,129,130,130,130,131,131,131,132,134,134,133,133,134,135,134,133,132,131,131,132,132,130,129,129,130,131,133,134,134,134,134,132,132,134,134,133,131,130,128,127,128,131,132,132,132,135,140,143,143,143,143,143,141,141,143,144,145,146,144,142,142,144,146,146,145,143,143,143,142,141,142,142,141,140,139,138,138,135,133,132,133,135,136,135,134,133,132,131,130,131,132,133,130,126,125,128,129,129,128,129,130,129,128,129,133,134,134,134,134,134,132,131,131,130,129,131,132,132,132,132,131,132,133,132,131,131,130,129,129,131,133,135,136,135,134,135,137,138,138,139,139,139,137,136,136,136,135,135,135,135,136,137,139,140,141,140,141,143,145,144,144,143,141,142,144,145,144,141,139,139,140,142,142,142,142,144,143,140,140,141,146,150,152,151,148,143,143,144,146,147,147,148,148,148,150,151,152,151,151,153,154,154,150,148,148,151,152,150,147,145,144,144,142,143,147,148,148,148,147,145,145,146,149,149,148,148,149,149,150,149,147,146,145,146,148,150,148,148,151,153,151,152,154,157,160,158,153,149,148,148,149,150,152,152,150,149,149,151,154,156,157,156,154,153,154,156,156,153,150,150,150,152,157,159,158,158,157,157,159,162,164,165,166,167,166,163,164,165,160,156,157,157,154,153,153,155,156,157,155,153,152,153,154,158,162,163,161,159,158,156,155,156,156,156,154,154,155,153,152,151,151,152,152,152,152,152,151,150,151,154,154,154,155,154,150,149,149,148,148,148,147,148,151,154,155,151,149,151,153,152,149,149,153,155,155,155,157,157,152,149,149,148,148,149,149,149,148,150,153,150,146,148,150,152,153,155,159,158,157,156,157,157,155,153,152,151,151,150,150,151,151,148,143,142,145,147,146,145,146,148,151,null],[134,131,127,126,126,123,123,125,126,123,119,116,116,116,117,117,116,115,117,118,119,121,120,118,121,125,125,124,123,122,121,120,122,121,118,114,111,110,110,110,112,114,117,116,111,109,109,110,113,116,117,117,117,117,115,112,111,114,117,119,120,123,125,124,124,127,129,128,125,121,121,126,131,132,130,129,130,131,130,127,125,125,128,130,131,132,133,130,128,128,128,127,128,131,132,133,131,130,128,128,128,129,129,128,129,129,129,127,127,127,128,129,129,130,130,130,130,131,135,136,136,135,135,134,134,134,133,131,129,129,131,130,129,129,131,132,132,132,132,132,133,133,134,134,134,131,128,128,129,129,130,133,135,133,132,135,141,145,146,146,144,143,142,144,146,145,144,145,143,141,141,143,145,145,144,142,141,140,139,137,137,139,140,140,140,139,138,137,134,132,132,134,135,134,135,136,134,132,130,130,132,134,132,126,124,125,129,130,129,129,129,128,128,131,133,134,133,132,132,132,130,128,128,127,127,129,131,131,131,131,131,130,130,130,130,131,131,131,132,134,137,137,136,136,135,136,136,136,137,138,139,138,137,135,136,136,136,137,136,135,135,136,138,139,139,140,141,143,145,147,147,146,144,144,146,146,144,141,138,138,142,145,147,146,145,145,144,142,140,140,143,146,148,149,146,143,143,145,148,150,151,150,149,150,152,152,152,151,152,155,156,154,151,148,149,152,154,152,147,145,145,145,143,143,143,143,142,142,144,145,144,144,145,146,146,145,146,148,151,152,151,149,148,148,150,152,150,150,154,155,152,153,155,157,158,156,152,149,149,151,152,150,150,151,151,150,149,150,152,155,157,158,158,157,156,156,156,156,155,151,149,151,157,161,161,161,160,158,159,162,163,163,163,165,167,165,165,166,161,157,156,154,153,154,154,154,155,155,154,152,151,151,153,156,157,158,159,160,160,159,157,155,153,154,154,155,156,155,154,154,154,154,154,152,149,149,149,150,150,151,151,152,156,155,151,150,148,147,146,146,147,150,154,157,156,150,148,150,151,150,148,150,154,156,157,157,157,156,153,150,148,148,149,150,150,148,147,149,151,148,145,146,148,151,153,155,157,157,157,157,156,155,155,156,156,155,152,150,149,149,151,150,146,144,145,145,145,144,145,149,152,null],[138,135,132,128,125,123,121,122,123,122,119,117,118,119,119,117,115,116,120,119,117,117,117,116,119,124,126,123,120,122,122,121,121,120,117,112,108,107,108,109,111,113,115,113,110,108,107,107,110,114,117,117,117,115,112,108,107,110,114,116,116,119,122,122,122,123,126,126,125,123,124,127,127,123,124,128,130,129,128,128,128,128,127,127,129,130,130,129,127,128,128,128,129,131,132,132,131,130,128,127,129,131,130,129,128,127,127,127,127,128,129,129,130,131,130,130,130,131,134,137,136,136,134,133,132,133,134,132,129,128,130,130,130,130,130,129,128,129,130,131,132,134,135,134,131,129,127,127,128,128,132,135,136,133,133,136,141,146,148,148,145,143,144,146,146,143,142,143,141,139,140,141,144,145,144,141,139,139,138,136,135,138,140,139,138,139,138,138,137,135,134,134,132,131,133,135,134,132,131,131,134,136,134,129,125,126,129,130,128,127,126,127,129,131,133,133,132,130,130,131,129,127,127,125,125,126,128,129,129,129,129,129,128,127,127,130,133,134,135,137,139,139,136,136,136,136,136,135,136,139,140,139,137,136,137,137,136,137,139,138,136,136,138,139,138,139,141,143,144,146,148,149,148,148,148,147,144,143,141,140,141,146,149,150,148,147,146,143,141,139,140,142,144,145,143,141,142,145,147,149,152,152,151,151,151,152,152,153,154,155,155,153,151,150,150,152,153,151,147,146,146,145,144,143,144,143,142,143,145,147,145,144,144,146,146,145,146,148,151,152,151,151,150,151,152,153,152,152,155,155,153,155,157,157,156,154,152,151,152,154,153,149,149,151,151,150,150,150,152,156,158,159,161,161,159,156,154,157,158,154,151,151,155,160,162,162,162,161,162,162,163,162,161,162,165,164,164,162,159,156,154,153,154,155,155,152,153,155,154,151,148,149,152,154,155,155,159,161,160,161,160,158,153,152,154,156,157,156,155,156,157,156,155,152,149,149,150,152,151,150,149,151,154,154,150,147,146,146,145,146,149,152,156,158,156,152,149,149,149,149,149,152,155,156,157,157,156,155,156,153,150,149,150,150,148,146,146,147,146,146,145,147,149,151,152,153,154,155,155,155,154,155,156,158,158,157,155,152,148,147,148,148,146,144,143,143,143,143,146,149,150,null],[140,138,135,130,124,122,120,120,122,123,122,121,122,123,122,119,114,114,117,118,117,116,115,114,116,120,123,121,118,119,119,116,115,114,113,109,106,105,107,109,111,112,111,109,108,107,106,106,108,113,116,117,115,113,110,107,105,108,111,114,114,117,121,122,122,123,124,125,126,126,126,125,121,115,118,126,130,129,127,126,127,128,127,126,127,128,128,128,129,129,129,130,130,130,130,131,131,131,129,128,130,131,130,128,127,127,127,127,128,129,129,131,132,132,131,129,128,130,133,136,135,135,134,133,131,131,133,133,131,130,131,130,130,129,127,125,124,127,130,130,131,134,134,131,128,127,127,126,126,127,132,136,134,132,133,137,141,146,149,148,145,143,145,145,143,142,141,142,141,139,140,141,143,144,143,139,138,139,138,136,135,138,140,138,137,138,138,138,138,137,137,135,132,130,130,132,132,131,132,133,136,137,136,133,129,127,128,127,126,125,125,126,129,131,131,132,131,130,130,130,129,128,127,125,125,125,127,127,127,127,127,128,127,126,126,131,135,136,137,139,140,139,136,135,136,137,137,136,138,141,141,139,136,136,138,137,135,136,140,140,139,139,141,140,138,139,142,143,144,146,148,150,150,150,151,148,147,147,145,143,142,145,149,151,151,148,146,144,143,141,140,141,142,143,141,140,141,142,143,146,149,151,151,151,151,151,153,155,156,155,154,152,153,153,152,151,151,150,149,150,149,145,144,146,147,147,146,147,149,149,148,147,147,148,148,147,148,150,150,149,149,150,152,153,154,154,153,153,155,155,155,157,158,156,155,154,154,154,154,155,153,150,151,153,152,150,150,150,153,156,157,157,160,162,162,158,155,158,160,158,155,153,154,157,159,160,160,163,164,164,162,160,158,157,158,158,158,157,156,155,152,152,154,155,153,149,151,154,154,150,147,148,151,153,153,154,158,160,158,159,161,161,156,152,153,156,158,155,153,156,159,158,155,152,152,151,152,154,153,150,149,151,152,151,147,145,144,145,146,148,151,154,156,155,153,152,151,150,148,148,150,153,156,155,155,156,156,156,157,156,153,153,152,150,146,145,145,144,142,143,146,150,150,149,149,151,153,153,152,152,154,156,157,157,158,158,156,154,150,146,145,144,144,143,142,141,142,145,148,149,148,null],[134,134,135,131,125,121,120,122,125,127,126,125,124,125,126,124,116,112,114,118,120,120,117,115,115,118,120,119,116,115,113,111,110,109,109,108,107,107,108,109,111,113,113,111,109,109,109,108,108,112,116,118,116,115,114,112,109,109,111,114,117,119,121,122,124,125,125,125,126,127,127,126,122,116,117,123,126,126,124,121,122,125,127,128,128,129,128,129,130,130,130,130,130,130,128,130,131,130,129,128,129,129,128,127,126,126,128,130,130,129,129,130,132,132,130,128,127,130,133,134,132,132,133,133,131,129,130,131,130,129,129,128,127,125,124,124,124,126,128,128,130,131,131,129,128,126,126,126,126,128,132,135,133,132,136,140,143,146,148,147,144,143,143,144,143,143,142,142,140,139,140,141,140,141,140,137,138,140,139,136,134,135,138,139,140,140,139,137,136,137,139,138,135,131,130,131,131,131,133,135,136,135,136,135,132,127,124,124,126,127,126,126,128,129,128,128,129,129,129,129,130,129,127,127,127,128,128,127,126,127,127,128,128,128,130,133,135,137,138,139,139,138,135,134,136,138,138,138,140,142,140,137,135,137,138,136,134,135,138,140,141,142,143,142,139,140,142,143,145,148,150,150,148,149,150,150,149,150,149,147,145,145,148,150,149,146,144,144,145,143,141,142,144,143,142,141,141,141,141,143,146,147,149,151,152,152,152,153,154,155,153,152,154,156,154,151,150,152,154,154,150,145,144,147,149,149,149,150,151,151,151,151,150,150,150,150,151,151,150,149,149,150,152,154,155,156,154,153,155,156,157,158,158,157,157,158,157,156,154,154,154,153,153,154,153,152,152,152,152,153,153,154,156,159,161,160,160,161,163,161,159,156,155,156,158,158,158,161,163,162,160,157,154,152,151,151,153,156,158,156,151,149,150,153,151,147,148,150,150,149,149,150,151,151,150,152,157,158,157,156,159,161,158,153,152,153,155,152,151,156,160,160,158,156,156,153,151,152,153,150,149,150,149,149,148,147,146,145,146,148,152,154,154,151,150,150,151,149,147,147,149,152,154,152,152,154,155,155,155,155,155,155,155,152,149,147,146,145,142,142,146,148,147,146,148,152,156,153,150,151,156,158,157,156,156,156,155,154,151,147,145,143,141,141,141,141,143,146,148,149,148,null],[128,130,133,128,122,120,122,125,127,129,127,125,122,121,124,124,119,113,114,118,122,122,120,117,116,117,117,116,114,111,110,110,108,107,107,109,111,112,112,110,113,116,118,116,114,115,115,111,110,112,114,115,115,116,118,117,114,112,114,118,120,120,119,121,124,127,127,124,125,127,128,128,126,122,120,120,119,119,119,118,118,123,128,129,130,130,131,131,130,129,129,130,130,129,127,128,130,129,128,128,128,128,128,126,125,127,129,130,130,130,130,129,130,130,129,129,129,131,132,131,130,130,131,131,129,127,128,129,128,127,126,125,123,122,122,123,125,126,126,126,127,128,128,127,127,126,127,128,130,131,134,137,137,137,140,142,143,145,146,145,142,140,142,143,144,144,143,141,139,139,140,140,139,139,138,137,139,141,139,135,132,132,135,139,141,140,138,135,134,136,139,140,136,131,129,129,131,133,134,135,135,133,134,134,132,128,125,124,126,128,127,125,126,126,124,125,128,129,128,128,129,130,129,130,132,133,132,130,128,129,129,129,130,132,133,134,135,137,138,139,138,136,135,135,137,138,139,140,141,141,138,136,137,138,139,137,136,136,137,138,140,143,144,144,142,143,144,144,147,150,151,149,146,147,150,152,152,151,151,150,148,147,148,149,148,146,145,146,146,145,144,145,146,145,144,143,141,140,141,143,144,146,147,150,151,151,150,150,151,152,151,151,154,156,156,153,152,154,155,153,148,144,143,145,148,148,148,150,151,151,151,152,153,152,152,153,154,154,154,153,152,152,153,154,156,157,156,155,156,156,157,159,159,157,157,159,159,156,153,155,157,155,153,152,150,152,154,154,153,152,151,153,154,156,159,162,164,164,164,163,161,158,157,158,158,158,159,160,161,158,155,153,152,149,145,146,151,157,158,155,151,148,148,150,150,148,146,146,147,149,152,153,152,150,149,151,154,156,155,155,157,158,157,154,151,150,149,148,150,155,157,158,160,160,158,153,150,151,152,151,150,149,148,149,151,150,148,147,146,147,149,151,150,149,148,147,148,147,146,146,148,151,151,149,150,154,155,153,151,152,154,154,154,153,151,149,147,146,144,143,143,145,147,147,148,153,156,153,150,154,158,159,156,156,157,154,151,152,153,150,148,144,140,139,140,141,142,145,147,149,150,null],[126,128,131,125,119,120,125,129,128,127,126,121,117,116,118,121,120,117,115,117,119,120,119,119,118,118,117,115,113,112,112,112,109,107,108,111,115,116,114,113,115,119,121,121,121,122,120,113,110,111,111,111,111,114,118,119,117,116,119,122,123,121,118,119,123,127,126,124,124,127,129,128,127,125,122,117,113,113,116,118,120,125,128,129,129,129,131,132,131,128,128,129,130,129,126,126,127,128,127,127,128,128,127,126,126,128,128,126,127,130,130,129,128,128,129,131,132,132,131,129,128,129,129,129,127,126,126,127,127,126,124,124,123,123,123,124,126,126,125,125,126,127,126,126,126,126,128,131,133,135,139,143,145,145,144,143,143,143,143,141,138,138,141,143,144,143,141,137,137,139,140,141,141,141,140,139,139,138,136,133,130,131,134,137,138,137,136,134,133,135,137,137,132,128,126,127,131,133,134,133,133,131,131,131,130,130,128,126,126,128,127,125,124,123,123,124,127,128,128,128,130,131,132,133,135,137,136,133,131,131,130,130,131,133,134,134,135,137,138,138,137,137,136,137,139,140,141,143,142,139,137,138,140,141,141,140,139,139,138,137,139,142,144,144,145,146,147,146,147,149,150,148,146,147,150,152,151,150,151,151,149,149,150,150,149,148,149,149,146,144,145,147,149,148,145,143,142,142,144,144,144,146,147,147,147,148,148,148,148,149,149,149,151,154,157,156,153,152,152,148,144,141,141,143,146,147,147,149,150,151,151,152,154,154,153,154,156,157,158,157,155,154,154,155,156,157,157,158,158,157,157,161,161,158,156,156,157,155,155,157,158,155,152,149,148,149,152,155,156,154,153,155,156,157,160,163,165,163,163,164,162,159,160,160,160,161,162,161,158,155,152,153,154,150,146,146,152,157,155,151,149,148,148,151,152,151,147,145,146,150,153,153,152,152,152,153,154,154,154,154,156,156,155,153,151,148,146,146,149,153,153,154,158,160,157,152,150,151,153,154,151,148,149,151,153,152,149,148,146,146,146,147,148,148,147,146,145,146,146,147,148,150,149,149,151,156,155,151,149,150,152,151,150,151,151,150,148,147,146,143,143,145,149,150,149,151,153,151,150,155,159,158,155,156,158,154,149,150,153,152,149,144,139,138,138,140,142,143,146,148,151,null],[128,127,128,124,122,126,130,131,128,126,124,119,115,114,115,116,119,119,117,116,116,115,114,116,117,118,118,116,115,115,114,112,110,110,111,113,117,117,115,113,114,118,121,123,125,125,121,113,109,110,111,110,110,113,117,119,120,121,123,125,124,121,119,119,122,126,126,125,125,125,127,126,125,123,122,118,113,111,114,119,123,125,126,127,127,128,130,130,129,127,127,128,129,127,124,122,124,126,128,128,128,127,127,126,126,127,126,124,125,128,129,128,127,127,129,130,130,129,128,127,127,127,127,127,126,125,125,125,126,125,125,126,127,127,126,128,129,130,129,129,129,127,126,127,129,129,129,131,135,138,143,147,149,147,143,142,142,142,140,138,136,138,141,143,143,142,139,135,137,140,140,140,141,142,142,140,138,135,134,132,129,130,132,134,135,136,136,135,133,132,133,131,129,125,124,126,128,130,131,130,129,129,130,129,129,129,129,126,125,128,129,127,125,123,122,124,127,129,130,131,131,132,133,134,136,139,138,135,133,132,130,130,131,133,134,134,135,135,136,138,140,140,140,140,141,143,145,145,143,140,139,141,143,143,142,141,140,141,141,139,140,143,143,144,146,147,148,146,146,147,147,146,147,149,151,150,148,148,149,151,151,151,152,151,150,150,152,150,146,145,146,149,151,150,147,144,145,147,147,146,146,147,147,146,146,147,149,149,149,150,150,148,149,153,157,157,153,149,148,146,144,141,141,143,146,147,148,148,150,152,152,152,153,155,155,155,155,158,160,159,157,155,155,155,155,155,157,159,161,160,160,161,162,160,157,155,154,155,157,159,159,155,151,149,150,151,151,154,157,156,155,155,157,159,162,164,164,162,163,165,164,162,163,163,164,165,164,161,157,154,154,156,157,154,150,148,152,156,155,150,147,146,148,152,153,151,147,146,147,149,149,150,151,153,155,156,156,155,154,154,155,155,153,151,149,148,148,148,148,149,150,152,156,158,156,153,153,154,155,155,152,150,151,154,154,151,149,148,146,145,145,146,147,146,145,145,145,145,147,149,149,149,149,150,152,154,154,153,150,149,149,150,149,148,148,149,148,147,145,144,144,146,149,149,148,149,151,150,149,152,154,154,153,154,157,154,149,150,150,149,146,144,141,139,140,141,143,145,146,148,150,null],[132,128,127,124,125,130,132,130,128,126,125,121,117,115,114,114,117,119,118,118,116,112,111,113,114,116,117,116,115,113,111,110,112,114,116,116,117,116,115,114,113,115,118,123,126,126,120,114,110,111,113,113,111,113,117,120,122,124,125,125,124,122,121,120,122,123,126,127,125,124,124,123,121,120,121,120,117,114,115,120,123,124,124,125,126,127,127,128,127,126,126,127,127,124,121,120,122,125,127,128,127,125,125,125,124,124,124,124,125,126,128,127,127,127,127,127,126,126,125,126,126,126,126,126,126,124,123,124,125,125,126,130,132,132,130,131,133,134,134,133,132,129,128,130,132,132,131,132,137,141,145,146,147,144,140,140,141,140,137,135,135,138,141,141,140,138,136,135,137,141,140,139,140,140,141,140,136,133,133,132,130,130,132,135,136,138,138,136,133,130,129,129,127,126,125,125,125,126,127,126,126,128,129,130,128,127,125,124,126,129,131,129,127,125,124,125,127,130,132,133,132,132,133,135,137,138,137,135,133,132,131,132,134,136,136,135,134,133,135,139,143,144,143,141,142,145,147,146,145,142,141,143,144,143,142,141,141,142,143,142,143,144,143,143,145,145,144,143,143,144,145,146,147,150,151,149,147,146,149,152,153,152,151,151,150,151,152,152,149,147,149,151,152,152,149,146,148,151,150,149,148,147,148,147,146,147,150,151,151,152,152,151,151,154,157,156,151,148,146,146,145,144,144,146,148,150,150,150,152,154,154,153,153,156,157,156,154,156,158,158,155,153,153,153,153,156,158,161,164,164,162,160,161,163,159,154,153,155,158,159,158,156,152,150,152,153,152,153,155,158,157,155,157,161,163,163,162,163,164,164,165,164,165,166,167,168,165,160,155,155,157,159,159,157,153,150,152,156,156,152,147,145,148,151,151,148,146,146,148,147,145,146,149,152,156,159,157,156,155,154,154,154,151,149,150,151,152,152,149,147,149,153,154,155,156,156,156,158,158,157,155,153,153,154,154,152,150,149,147,145,146,147,146,144,143,146,147,147,149,150,149,147,147,149,151,151,153,153,150,148,147,150,149,145,144,146,146,146,145,144,144,147,147,146,147,150,152,152,151,150,151,152,150,150,155,154,151,150,149,147,145,143,142,141,142,143,145,147,147,148,148,null],[135,132,130,126,126,130,129,126,126,127,127,124,120,116,115,116,117,118,119,119,118,116,115,114,114,115,116,115,113,109,106,109,113,118,121,120,116,114,115,116,114,113,117,122,124,124,120,115,111,111,114,114,112,113,118,120,120,123,123,123,122,122,122,122,122,122,124,126,124,122,121,120,119,119,120,121,119,118,119,121,122,123,124,124,124,124,125,125,125,125,125,124,123,122,121,121,123,124,125,126,124,123,124,124,124,124,124,126,127,126,127,126,125,126,127,126,124,124,124,126,127,127,126,126,124,123,122,124,126,126,127,131,135,135,132,131,134,136,136,135,133,132,132,132,134,135,135,137,140,143,144,144,143,142,139,138,138,138,136,135,134,136,138,137,134,133,133,135,138,140,140,139,139,139,139,138,135,133,133,132,130,130,134,138,139,138,138,136,131,129,129,129,128,127,127,125,124,124,125,125,126,128,129,129,127,124,122,124,128,130,130,129,129,129,128,127,128,131,133,134,133,132,133,136,138,138,136,134,132,133,135,137,140,141,139,136,134,134,136,141,144,145,143,141,141,144,145,145,143,142,141,142,143,143,142,142,143,144,144,143,143,143,142,142,142,143,141,140,140,142,144,145,147,148,149,150,149,148,149,151,151,149,149,150,151,151,152,152,151,151,152,152,153,154,151,148,150,152,152,151,150,148,148,150,147,146,149,152,152,151,152,155,155,155,155,154,152,149,147,146,145,145,146,149,151,151,151,152,154,154,152,151,153,156,157,156,153,154,156,155,153,152,152,152,153,158,160,163,165,164,161,158,160,163,160,155,154,154,155,155,156,156,153,150,150,153,155,154,155,159,159,156,158,161,161,160,161,163,163,162,162,163,164,166,169,169,165,159,156,158,159,158,157,156,152,149,151,157,156,151,148,147,149,149,147,145,145,146,147,146,144,145,147,150,156,159,157,154,154,154,153,153,151,151,154,156,155,154,151,147,148,152,152,152,156,158,158,159,159,159,157,155,153,153,154,153,152,151,148,146,147,148,145,143,142,145,148,149,149,148,147,146,145,145,149,151,153,152,149,147,146,148,147,144,142,143,143,144,145,144,144,145,147,147,147,151,154,155,154,153,152,151,148,148,153,153,150,149,150,150,147,143,142,142,142,144,146,147,147,146,147,null],[138,134,130,127,127,128,125,123,124,126,127,124,120,117,117,120,121,121,119,120,120,120,120,118,116,114,115,116,115,112,109,111,113,117,121,120,116,115,116,117,116,116,119,121,121,123,123,120,114,110,111,112,113,115,116,118,119,121,122,122,121,121,121,122,122,121,121,122,122,121,120,119,118,119,120,120,119,118,120,122,124,124,124,123,123,123,124,124,124,125,125,123,123,123,123,123,124,124,124,124,122,122,123,124,125,126,126,127,127,127,127,125,123,125,127,126,125,124,125,125,125,126,126,126,125,124,124,125,128,129,129,131,134,136,133,131,133,136,136,135,134,135,136,136,136,137,139,140,142,142,143,143,142,141,141,141,139,138,138,136,134,133,134,133,131,132,135,137,138,139,140,139,138,138,137,135,135,135,134,131,129,130,134,138,138,136,135,132,128,126,127,127,127,127,126,125,123,124,126,127,128,129,130,129,127,123,122,126,131,131,131,131,132,132,130,128,129,132,134,134,133,133,135,138,140,140,137,134,133,135,139,142,143,143,141,138,136,137,139,142,143,143,142,140,141,142,141,141,142,142,142,142,143,144,143,142,143,144,143,143,143,142,141,141,142,142,141,141,142,143,144,145,146,147,149,150,149,147,148,148,148,147,148,150,150,149,150,151,152,152,152,153,154,154,154,153,152,152,152,153,152,148,148,150,148,147,149,152,151,149,151,155,156,154,154,154,153,152,150,147,145,145,146,149,151,151,151,152,153,152,150,149,153,155,154,154,154,153,154,153,151,151,153,153,155,158,160,161,162,162,159,157,158,163,161,157,154,152,152,152,154,153,152,151,151,153,156,157,158,161,159,156,158,160,158,159,161,161,161,160,158,159,161,165,167,166,163,159,159,160,157,155,154,153,151,149,150,155,152,149,148,150,150,148,145,145,147,148,147,146,144,145,147,149,155,157,153,150,152,152,152,152,151,152,155,157,155,154,152,148,148,150,150,151,154,158,159,158,157,157,156,154,152,152,152,152,151,151,147,146,148,149,145,142,142,144,147,148,147,147,148,148,148,147,150,154,153,150,150,148,146,146,146,145,144,143,142,143,145,144,144,144,145,146,147,151,156,156,154,153,152,150,147,148,152,153,150,148,150,152,148,143,141,141,142,143,144,144,144,145,146,null],[137,131,127,128,130,127,124,123,124,124,122,120,117,116,119,123,126,124,121,119,121,122,122,121,117,115,116,119,120,119,117,114,113,114,117,118,117,116,116,116,118,121,123,122,121,123,125,123,116,107,105,108,114,115,114,115,118,120,123,123,122,120,119,120,121,120,119,119,119,120,121,121,120,119,119,119,118,118,120,123,126,126,125,124,123,123,124,125,125,126,125,124,125,126,126,124,123,123,123,123,123,123,124,126,129,130,129,127,127,129,129,127,124,125,127,127,127,127,127,127,126,125,127,129,129,128,127,127,130,131,131,131,133,136,135,133,135,136,137,136,137,138,139,140,140,139,140,141,142,142,143,144,143,142,144,145,143,142,141,139,135,133,132,131,132,136,139,140,140,140,139,138,138,137,134,131,133,136,134,130,128,130,132,134,134,133,131,128,125,124,124,125,126,126,126,125,124,126,129,130,130,130,129,129,127,125,125,129,132,131,132,134,135,134,132,131,132,134,135,135,135,135,136,138,141,141,138,135,134,137,141,142,141,141,141,141,139,139,140,141,141,141,141,140,142,142,139,139,141,144,143,143,144,145,142,140,141,142,143,143,142,141,139,140,142,143,143,144,146,145,145,145,145,146,148,149,147,145,145,145,146,146,148,149,149,148,148,149,150,150,151,152,154,155,156,156,155,153,152,153,151,148,148,150,150,149,150,150,149,148,149,152,151,151,154,155,153,152,151,148,145,144,144,146,148,150,151,150,150,150,148,149,152,152,151,153,154,153,152,151,151,152,155,155,156,157,156,156,157,159,158,157,159,162,163,160,155,152,151,153,153,152,151,153,154,156,157,159,160,160,157,154,156,158,156,157,160,158,158,158,156,156,160,163,163,161,160,160,161,160,157,154,152,151,150,149,150,151,150,149,149,151,151,148,147,148,149,148,147,145,145,147,149,149,153,154,149,147,149,150,149,149,148,149,153,155,153,151,150,148,147,148,149,150,152,157,161,158,155,154,153,153,153,153,150,149,148,149,147,147,150,150,145,142,142,143,145,146,147,147,148,152,155,154,154,154,152,150,151,151,149,147,147,147,147,145,143,143,145,144,144,144,145,146,147,150,156,155,152,151,150,148,147,149,152,152,151,148,149,151,148,142,140,140,141,142,142,142,143,146,147,null],[131,126,125,129,131,129,126,124,124,121,118,116,116,115,119,125,128,126,123,121,120,119,119,118,118,117,119,122,122,120,117,115,113,113,116,118,118,116,114,114,117,121,123,123,121,121,122,122,116,107,102,105,112,114,113,113,114,117,121,124,123,121,118,118,118,119,118,117,118,119,121,123,123,121,119,119,119,120,120,122,125,126,126,126,126,126,126,127,127,128,126,125,125,126,127,126,124,124,125,125,126,127,127,129,132,133,132,129,129,132,133,131,129,128,128,128,129,130,132,133,130,129,130,133,134,134,131,129,130,133,134,135,136,137,139,139,139,137,137,139,141,140,140,141,142,141,141,142,143,144,145,146,147,146,146,146,144,143,142,140,137,134,133,133,135,138,140,141,142,141,139,137,137,135,131,128,130,133,132,129,127,128,131,131,132,131,127,124,123,124,125,126,128,128,128,127,128,129,131,131,131,130,129,128,128,127,127,129,130,131,132,135,136,136,135,136,136,136,136,136,137,137,136,138,139,139,137,135,135,136,138,139,140,141,142,141,140,139,140,141,140,140,139,139,141,142,139,138,141,143,143,143,143,142,140,139,140,141,142,143,141,139,138,139,142,143,143,145,145,144,143,143,144,146,146,145,144,143,143,145,145,146,147,148,149,150,149,148,149,149,150,152,154,155,156,156,156,155,155,154,151,149,149,151,153,152,150,148,149,150,150,149,148,150,155,156,154,152,150,147,144,143,143,144,146,148,148,147,148,148,148,148,151,150,150,153,153,151,149,149,151,154,156,157,156,155,154,154,154,157,158,160,162,163,162,160,156,154,154,155,155,154,152,152,153,157,160,161,160,156,153,152,154,156,156,157,159,158,157,156,156,158,161,161,160,160,160,160,161,160,160,157,152,150,149,149,149,149,150,151,150,151,151,151,151,150,148,146,145,146,148,152,152,150,151,152,149,147,147,147,145,144,143,145,150,152,150,148,146,146,147,147,148,149,153,159,162,160,156,156,155,156,155,154,152,149,148,151,151,150,151,149,145,142,142,144,146,147,147,147,149,154,158,157,154,152,150,150,152,151,150,150,151,150,148,146,144,144,144,143,143,145,148,149,148,150,154,155,154,154,152,148,147,147,149,150,149,147,149,151,147,141,140,141,142,142,142,143,146,148,148,null],[126,124,127,129,130,130,127,125,124,122,117,115,115,113,118,124,126,125,123,121,120,116,115,116,117,118,119,119,119,116,115,116,116,115,116,118,118,115,113,113,116,119,120,121,120,118,117,118,116,110,106,106,110,113,111,110,110,114,118,122,123,122,119,118,118,119,118,118,119,120,120,122,123,122,119,120,122,122,121,121,123,124,126,128,128,128,128,129,129,129,128,127,126,127,129,129,128,126,126,128,129,129,129,131,133,132,132,131,132,134,135,135,134,131,128,129,130,132,136,137,135,133,134,135,137,138,134,131,131,134,138,140,140,140,141,143,142,139,139,143,146,144,141,140,141,142,143,144,146,148,148,148,149,148,146,144,142,142,140,138,136,134,134,136,138,138,137,138,140,141,140,138,136,134,132,131,130,129,129,129,127,127,128,129,131,129,125,121,122,125,127,129,130,130,130,130,131,131,131,131,131,130,128,128,128,128,128,129,130,132,133,134,137,138,138,139,139,138,137,138,138,136,135,136,138,138,137,135,134,134,135,137,140,142,142,142,140,138,139,140,141,139,137,137,140,141,138,138,140,141,142,141,141,140,139,139,139,140,142,142,140,137,137,138,140,140,140,141,142,142,142,142,142,143,143,141,141,142,143,144,145,144,144,146,149,150,149,148,149,150,152,153,154,155,154,153,155,157,157,154,151,152,152,152,154,154,152,150,150,152,152,149,149,151,154,155,155,153,150,145,144,145,145,144,145,147,148,148,147,147,148,148,148,148,150,151,151,149,149,150,152,154,154,154,154,154,155,156,155,157,160,162,163,163,160,158,156,157,158,158,158,157,154,151,151,154,157,158,155,151,151,155,155,156,158,160,161,162,160,156,155,158,160,161,160,162,162,160,159,159,161,159,154,150,149,150,151,152,153,153,151,149,149,151,151,147,145,145,145,147,149,152,152,151,151,152,150,149,147,146,144,142,140,141,147,151,148,144,141,143,146,148,149,151,155,160,161,161,158,158,158,158,157,155,152,150,151,154,155,153,150,148,145,142,142,144,147,148,147,146,150,154,155,155,152,150,149,148,150,151,151,152,152,149,147,146,144,144,143,143,145,147,149,150,148,149,153,154,155,157,155,150,147,146,146,146,146,145,148,151,147,142,140,141,142,143,144,146,148,148,147,null],[126,126,128,128,128,128,127,125,125,124,121,118,115,114,117,122,124,123,120,120,120,117,116,117,118,118,116,115,113,114,116,118,119,118,116,116,116,113,113,114,115,116,117,117,117,116,115,115,114,112,113,112,110,110,109,108,108,112,117,121,122,121,120,119,119,119,118,119,121,122,120,121,122,121,120,120,121,121,120,120,122,123,124,126,127,128,127,128,130,130,130,129,129,129,130,132,132,129,129,131,130,128,128,130,131,130,130,133,134,134,135,135,135,133,130,130,131,133,136,137,136,135,135,135,136,138,136,135,135,137,140,142,143,142,141,142,142,142,143,146,148,147,142,139,139,142,144,145,146,149,150,148,148,146,144,141,140,140,139,135,133,133,136,138,139,137,135,134,135,138,141,140,136,135,136,136,134,130,130,129,127,125,125,127,129,128,123,120,122,126,130,130,129,129,129,130,131,132,132,132,131,130,128,127,128,128,128,130,133,135,135,135,137,139,139,139,138,137,138,139,137,134,134,135,137,139,138,135,135,135,136,139,141,141,142,142,141,139,139,140,141,140,138,137,139,139,137,137,139,141,140,140,139,138,138,138,138,138,140,141,141,138,138,138,138,137,137,137,138,140,141,140,140,140,140,139,140,142,143,144,145,144,143,144,147,148,148,149,150,152,154,154,155,154,152,150,152,156,157,153,151,154,155,153,154,155,155,153,152,154,154,152,152,152,153,154,156,155,151,147,145,146,146,145,145,148,150,150,150,149,149,149,147,147,149,149,150,150,152,154,154,153,152,152,153,155,158,159,158,159,161,162,162,162,159,158,158,160,160,159,157,156,154,152,150,150,152,152,150,148,152,159,160,159,162,164,164,166,164,159,154,154,156,159,162,165,163,158,156,156,158,158,155,152,151,153,154,155,155,154,151,149,148,148,147,145,144,145,146,146,145,148,150,151,151,152,151,149,149,148,146,143,139,139,146,150,146,140,138,141,146,150,152,153,155,157,157,158,158,157,156,157,156,154,152,151,153,155,156,154,150,146,145,143,142,143,145,146,147,148,151,152,151,151,152,151,147,146,149,151,151,152,150,147,146,145,143,141,140,144,148,149,148,146,146,148,151,151,152,155,155,152,149,147,145,145,144,144,146,149,148,143,140,140,142,143,144,147,147,146,146,null],[127,127,129,129,128,126,125,123,123,125,125,122,120,120,121,121,122,121,117,118,121,121,120,120,120,120,118,115,114,117,120,120,120,118,115,114,114,114,114,114,113,112,112,113,115,117,116,114,113,113,116,115,111,109,108,108,109,113,118,121,121,120,119,119,119,119,119,120,122,122,121,121,121,121,120,119,119,119,119,121,122,123,123,124,126,126,126,127,129,131,130,130,130,131,130,132,133,131,130,132,129,127,127,129,131,130,131,133,135,134,133,133,135,134,133,132,133,134,135,134,134,134,134,134,134,135,136,136,136,137,139,141,142,140,139,140,142,145,147,148,148,146,142,139,138,139,141,142,143,147,148,146,145,143,141,138,138,140,139,135,133,134,137,139,139,137,136,134,133,136,140,140,137,135,136,137,135,134,134,131,126,123,123,125,127,126,123,121,123,126,129,129,128,128,127,128,129,131,132,132,132,131,129,127,127,127,129,133,136,137,136,135,136,137,138,138,137,135,136,137,135,133,135,137,138,139,138,136,136,137,139,140,141,140,140,141,141,140,138,139,139,138,138,138,139,139,138,138,140,140,139,137,136,137,138,138,137,136,137,140,140,138,139,140,140,138,137,136,137,140,141,139,138,138,139,141,142,143,143,144,144,144,143,144,145,146,148,150,152,153,155,155,154,152,150,148,150,154,156,154,153,156,157,155,155,157,157,156,155,155,155,153,153,154,154,156,158,156,152,149,146,145,146,147,146,147,148,150,151,151,151,150,149,150,150,149,149,151,154,156,155,153,152,153,156,158,160,160,160,160,160,161,162,163,162,162,161,160,159,158,156,154,154,155,154,152,151,152,152,150,153,159,161,161,162,162,163,164,164,160,155,151,152,157,162,164,162,155,152,152,153,154,153,152,152,153,154,155,155,154,153,151,149,147,147,147,146,146,146,144,143,145,147,150,151,152,150,150,151,150,147,142,139,140,147,149,143,139,140,143,148,151,153,152,152,152,154,155,154,151,151,154,156,156,154,153,153,155,156,156,153,149,146,144,143,143,143,145,149,152,152,149,147,149,152,152,146,144,147,151,150,148,147,147,146,144,142,140,140,144,149,149,145,142,145,149,149,148,149,152,153,151,149,149,149,148,146,144,146,149,149,145,140,139,141,143,144,145,144,145,146,null],[127,127,130,133,132,126,123,122,120,123,127,128,128,129,127,124,121,118,115,115,120,123,124,122,121,122,121,122,123,125,125,121,120,118,115,113,112,113,115,113,111,109,110,112,116,118,117,114,113,113,114,114,113,112,110,110,111,115,119,121,120,118,117,118,119,119,119,119,120,121,122,121,121,121,120,118,119,120,120,121,122,122,123,125,125,124,124,125,127,130,130,128,129,130,128,129,132,132,132,131,129,127,126,128,129,130,131,133,134,134,133,133,134,135,135,134,134,134,134,132,132,133,133,133,134,134,135,135,135,135,136,138,138,137,138,140,143,146,147,148,148,146,143,141,140,138,138,137,139,143,145,144,143,141,139,137,137,140,140,135,134,135,137,138,138,138,137,135,134,135,138,138,137,136,133,132,132,134,136,132,124,121,123,125,126,126,124,124,125,127,127,127,127,128,127,126,128,129,130,131,131,131,130,128,127,127,130,134,136,136,135,135,135,136,137,137,136,135,134,134,134,135,137,138,137,136,136,136,137,138,138,139,140,139,138,138,139,139,138,137,137,136,137,139,140,139,139,139,140,140,138,136,135,135,137,138,138,137,137,140,139,138,140,142,144,143,142,139,139,141,141,140,139,139,141,143,143,144,144,144,143,144,145,146,147,148,150,153,153,153,154,155,153,151,149,148,150,153,155,155,155,156,157,156,157,158,157,157,157,156,154,152,153,155,157,159,160,155,151,150,147,145,147,148,147,145,145,147,150,151,151,151,152,152,150,148,148,150,153,155,155,155,155,158,159,160,160,159,158,159,159,160,161,163,165,165,163,159,157,155,154,154,155,158,157,156,154,157,158,156,155,157,159,160,159,159,159,160,161,160,156,151,151,154,160,161,158,153,149,149,150,151,150,150,151,151,151,153,153,154,155,153,152,150,151,150,148,145,144,143,143,145,146,147,149,151,152,151,149,149,147,142,139,140,144,144,141,141,144,147,149,151,152,151,150,150,151,152,150,146,148,152,155,156,155,154,155,156,158,158,155,151,148,145,143,142,143,145,150,153,151,147,146,147,151,151,146,143,145,148,148,145,144,145,145,144,144,143,141,143,146,146,143,142,146,149,148,147,147,150,150,149,149,151,153,152,149,145,146,149,150,146,142,140,140,142,143,143,143,145,147,null],[128,129,132,136,135,128,125,122,118,121,129,134,134,133,130,126,122,117,113,113,117,122,125,124,121,120,123,128,132,132,127,122,120,120,117,114,110,110,112,113,113,112,113,115,117,117,115,113,113,113,112,112,115,115,112,110,111,113,117,119,118,117,117,118,120,119,118,118,118,120,122,121,121,122,120,119,120,121,121,121,121,121,123,125,124,123,123,123,125,128,129,127,128,128,127,127,130,131,132,132,130,128,127,127,128,129,130,132,133,133,133,133,134,134,134,133,133,133,133,132,133,133,135,135,135,135,135,135,136,136,136,136,136,137,139,142,144,145,145,147,149,147,146,145,144,142,139,137,138,141,141,141,142,142,140,136,135,137,137,135,134,134,135,136,137,138,137,134,134,135,135,136,136,136,133,130,129,131,132,128,123,123,127,128,127,126,126,127,128,128,127,127,128,128,127,127,128,129,128,129,130,131,130,128,128,129,131,133,134,133,133,133,134,136,137,136,135,135,135,134,134,135,137,136,134,133,134,136,137,136,136,137,140,139,137,136,137,138,137,136,135,136,138,139,140,139,138,138,139,140,140,138,136,136,136,138,141,142,142,142,140,138,139,142,145,148,148,144,142,144,144,142,140,140,142,142,142,144,145,146,144,144,146,149,151,153,153,153,153,153,152,153,153,152,149,148,150,153,155,154,155,156,156,155,157,158,157,157,156,154,153,153,153,153,156,160,161,157,152,150,148,147,148,149,147,145,144,145,146,147,148,150,151,151,149,145,146,149,151,153,155,155,156,159,159,158,158,159,157,157,158,160,160,161,163,164,161,159,158,156,156,156,158,159,156,155,158,160,161,160,158,157,157,159,159,160,160,159,159,158,156,153,151,152,156,157,156,152,149,148,149,150,149,149,149,148,149,150,152,153,153,151,151,153,154,152,147,144,144,145,145,145,143,143,147,152,154,152,148,148,147,144,140,138,138,139,141,143,146,149,150,150,151,151,152,151,150,151,148,145,148,152,153,151,151,152,156,159,159,157,154,151,149,145,142,141,143,145,147,148,147,146,146,145,147,149,147,142,141,144,147,145,141,140,141,146,149,147,142,140,141,143,142,141,144,146,147,147,147,149,148,148,149,151,153,152,149,146,145,147,149,149,146,142,140,141,142,144,145,146,148,null],[130,132,133,136,135,130,126,122,118,122,131,135,134,132,127,123,122,120,117,115,117,123,127,125,119,118,124,133,138,134,127,122,121,121,119,116,113,112,113,116,116,115,116,117,118,117,114,111,112,113,113,115,117,116,113,110,110,111,113,115,115,115,115,115,117,117,117,116,117,119,120,120,120,122,121,120,120,121,122,122,121,122,123,123,123,122,122,123,124,126,127,127,128,129,129,128,129,129,131,131,130,129,128,129,130,129,128,130,131,132,132,132,132,133,132,132,132,133,134,134,134,135,136,136,136,136,137,137,137,138,138,138,138,139,140,143,146,146,145,147,150,149,147,146,145,144,140,138,138,138,139,140,143,143,140,136,134,135,135,133,133,134,135,136,137,138,135,132,132,133,134,134,134,136,134,131,130,129,126,125,124,125,127,128,126,125,126,129,129,128,127,128,129,129,128,127,128,127,127,129,131,131,131,130,130,131,132,133,134,133,132,132,134,135,135,135,135,135,135,133,134,135,135,134,133,132,134,137,137,135,134,137,140,140,138,136,136,137,137,137,136,137,138,139,139,139,138,138,139,140,140,138,138,137,137,138,141,144,145,144,143,141,140,141,144,148,149,146,146,146,146,144,141,140,141,141,142,145,147,148,147,147,148,150,152,153,152,151,152,153,151,151,151,152,149,147,150,152,152,152,155,157,157,155,155,156,156,157,157,155,154,155,155,155,156,158,160,157,153,151,151,152,150,148,147,146,145,144,143,143,145,147,148,147,146,144,145,148,150,152,154,155,155,156,156,156,158,158,156,155,157,160,160,160,161,162,161,160,160,159,160,161,161,160,155,154,158,161,161,162,162,160,159,159,162,163,162,160,158,156,155,155,155,154,153,154,155,154,152,149,148,149,149,148,148,147,149,151,152,150,149,148,150,154,155,151,147,146,147,147,146,144,142,141,146,153,155,153,148,147,148,147,142,137,135,139,144,147,148,151,151,150,149,152,155,153,149,150,149,148,149,151,150,148,148,152,157,159,159,155,151,149,149,147,142,140,140,143,144,143,143,144,144,143,145,148,147,143,140,142,147,147,142,137,138,146,151,149,143,141,141,141,141,141,141,142,144,147,148,148,146,146,148,151,151,150,148,146,145,144,147,149,148,145,142,142,143,144,146,147,148,null],[133,135,135,134,132,131,128,124,123,126,130,132,131,130,124,119,121,125,124,121,121,125,128,125,118,117,126,134,135,131,125,121,120,120,120,120,119,118,119,120,118,115,116,117,117,117,114,111,111,115,118,119,117,115,113,111,110,111,112,112,112,111,111,111,112,114,114,114,116,117,117,117,119,120,121,120,120,120,122,122,122,122,121,120,120,122,123,124,124,124,125,127,128,129,130,130,129,128,128,129,129,129,130,132,132,130,129,129,129,130,130,130,130,132,132,131,132,134,135,136,136,135,136,137,137,137,137,138,139,139,139,141,141,141,141,144,147,147,147,149,150,147,145,143,141,140,139,138,136,135,136,140,142,141,137,134,134,135,134,133,133,136,138,139,138,137,133,130,130,132,132,133,134,135,135,133,131,128,124,124,126,126,124,124,124,123,126,128,128,127,127,128,129,130,129,128,127,127,128,131,133,133,132,131,132,133,134,134,135,135,132,131,132,134,134,134,135,135,134,133,133,135,136,136,135,134,136,138,136,134,134,136,138,138,138,136,136,137,138,138,138,138,139,139,139,139,140,140,140,139,138,138,139,139,137,137,139,143,144,144,144,143,142,141,142,144,146,146,147,148,147,144,141,139,139,140,143,146,149,150,149,148,149,151,151,149,148,149,152,153,151,149,149,149,149,148,150,150,149,151,155,157,156,154,155,155,154,156,158,157,156,157,158,158,157,156,157,155,152,152,154,155,153,149,148,147,146,144,143,144,145,146,147,146,146,145,146,148,149,151,153,154,153,153,153,155,157,156,155,156,158,160,161,161,161,162,163,163,162,161,162,162,163,160,156,154,157,159,160,162,164,164,162,161,163,164,163,162,159,155,155,157,159,156,152,152,154,155,154,150,147,147,148,148,147,149,151,152,151,148,145,146,150,153,153,149,148,149,150,149,146,144,142,142,145,151,154,153,149,146,147,148,144,139,138,143,148,150,150,152,152,149,148,151,156,154,148,148,150,150,149,148,150,149,148,151,156,157,156,153,150,148,149,148,145,140,139,141,142,141,142,141,141,142,144,146,146,144,142,143,146,147,144,139,139,144,148,148,144,144,144,142,141,140,140,139,142,146,149,149,145,143,145,148,148,148,147,147,144,142,144,146,147,145,143,143,142,142,144,147,148,null],[139,140,138,132,130,133,132,128,130,129,128,127,129,130,126,121,123,127,128,126,125,127,129,128,121,120,126,129,127,126,123,121,118,117,119,123,124,123,121,120,116,113,113,114,115,116,116,113,112,117,121,121,116,114,112,112,112,114,115,113,109,106,107,107,110,112,111,110,111,113,114,116,117,118,118,118,119,121,123,123,123,122,121,120,120,122,123,124,125,124,124,125,126,127,129,129,128,128,127,126,127,129,131,133,133,132,130,130,130,130,130,130,131,133,133,133,133,135,136,136,137,136,135,135,136,136,137,138,139,139,139,141,142,142,142,142,143,145,146,147,146,143,141,140,138,137,138,139,136,133,134,137,138,136,134,133,133,134,133,132,134,138,139,139,138,136,132,130,129,129,130,132,134,134,132,131,130,127,124,126,128,127,124,123,123,125,127,127,125,125,127,127,128,129,130,129,128,129,131,134,136,135,134,133,134,135,136,135,135,135,132,130,131,133,133,133,134,135,134,134,135,137,137,138,139,139,139,139,137,135,135,136,136,136,136,136,136,136,137,139,140,140,140,142,142,141,141,142,142,141,139,139,140,139,137,136,138,140,140,141,142,144,143,140,139,141,144,145,146,148,148,145,141,138,139,142,145,147,148,149,148,148,148,150,150,149,149,150,152,152,150,148,147,147,148,149,150,149,149,151,152,152,151,151,152,152,152,154,156,156,156,157,159,159,157,156,155,154,151,150,153,155,153,150,149,148,147,146,145,146,146,148,150,150,148,147,146,146,148,150,152,154,154,152,153,155,154,152,153,156,157,159,160,161,160,161,163,165,163,161,160,160,160,158,155,154,157,159,160,161,163,165,165,164,164,165,165,163,159,157,159,161,160,157,152,151,152,155,155,152,149,148,148,147,147,150,153,153,151,148,146,146,149,152,151,148,147,148,149,146,144,142,142,143,144,146,149,151,149,145,144,147,146,143,142,145,149,151,151,153,151,147,147,151,156,152,146,146,149,150,147,146,149,149,147,149,153,156,155,153,150,148,148,148,146,143,141,142,142,141,141,140,141,143,144,144,144,144,143,143,144,145,143,141,141,143,144,144,143,144,143,142,141,141,139,138,141,145,148,149,146,142,142,145,149,149,147,146,143,141,143,145,146,144,142,141,141,141,144,146,146,null],[143,143,140,132,131,135,133,129,132,130,125,124,126,127,127,127,128,128,127,128,129,128,129,129,126,124,127,126,122,123,123,121,118,116,119,123,125,123,119,117,114,112,112,112,113,115,115,114,113,117,121,120,116,113,111,110,113,117,119,116,109,105,104,105,108,109,109,107,107,109,113,115,115,114,113,114,118,123,125,124,123,122,122,121,122,123,124,125,125,125,124,123,123,124,126,127,128,128,127,126,127,130,131,131,131,131,131,131,132,132,131,132,132,134,134,134,134,134,135,136,137,136,134,134,135,135,136,138,138,137,138,139,141,142,142,140,139,140,143,144,142,139,138,139,137,136,138,139,136,133,133,135,134,133,133,132,131,132,132,133,136,137,137,136,136,135,133,131,129,128,128,131,133,131,129,129,127,126,126,128,129,129,128,127,127,129,131,128,123,122,125,127,127,128,129,131,131,131,132,134,135,136,136,136,135,136,137,136,135,135,132,130,131,134,134,133,133,134,135,135,136,138,138,140,141,141,140,139,139,138,137,137,137,136,136,137,137,136,136,138,140,140,141,143,143,141,142,144,144,141,139,140,140,139,139,139,138,138,138,138,140,141,142,140,138,140,143,144,145,147,149,147,142,139,140,143,145,146,147,147,147,147,147,149,152,152,152,151,150,149,147,147,146,146,148,150,150,149,150,150,148,147,147,149,150,152,153,153,154,154,155,156,157,158,157,158,158,157,154,152,153,154,153,152,151,149,147,147,148,149,147,149,154,155,152,149,147,146,147,149,151,153,154,153,153,153,152,151,153,156,157,159,159,160,158,159,163,164,162,159,158,158,157,156,154,154,157,159,160,160,161,162,164,164,164,165,165,162,159,158,161,163,158,154,152,151,151,154,155,153,152,150,149,147,146,149,151,151,150,148,148,148,148,149,149,148,147,146,145,143,142,141,141,142,142,142,145,148,147,143,143,146,147,144,142,143,146,150,151,152,149,146,149,153,154,150,144,144,146,147,146,145,148,149,148,148,151,154,154,152,149,149,150,148,146,145,146,146,146,143,140,141,142,143,143,142,143,143,143,142,141,142,142,142,143,143,142,141,140,141,141,142,142,142,139,139,141,143,145,147,145,141,141,144,150,151,147,145,143,142,143,146,146,144,140,139,139,142,145,146,144,null],[145,143,140,134,132,133,128,124,129,129,125,124,124,122,126,131,132,127,124,127,131,130,129,129,127,127,129,127,124,123,123,122,120,118,120,123,123,120,116,114,112,113,113,113,112,113,112,112,113,116,121,120,116,112,110,110,114,119,121,117,112,107,104,103,104,106,108,108,108,110,113,115,114,110,108,110,116,122,124,124,124,123,123,122,123,124,125,125,124,124,124,123,123,123,124,126,128,128,127,127,128,130,130,129,129,129,129,130,131,132,132,132,132,132,134,135,134,133,134,135,136,135,134,133,134,135,136,137,136,136,137,139,140,140,139,139,138,138,140,141,140,138,138,139,139,138,137,137,137,136,136,136,136,136,136,134,131,130,132,135,137,136,133,133,134,134,133,132,129,127,128,129,130,129,128,128,126,125,127,129,130,131,132,132,133,134,135,131,124,121,123,127,128,128,130,132,132,131,130,131,132,134,137,138,136,136,136,136,135,134,131,130,131,134,135,133,132,135,136,135,136,137,139,140,140,140,139,139,141,142,142,141,139,137,137,137,137,137,137,138,139,139,139,141,142,141,142,144,144,141,140,142,142,141,144,143,140,138,139,139,138,138,141,142,141,140,143,145,146,147,149,148,143,140,140,141,142,144,146,147,146,147,148,150,152,153,152,151,148,145,144,145,145,146,148,150,150,150,150,148,147,148,149,151,153,154,154,153,152,154,155,155,156,157,160,161,162,161,159,157,156,156,154,153,153,150,148,147,150,151,148,149,155,156,153,151,149,148,147,149,152,152,152,152,153,152,152,153,155,157,158,158,158,158,157,159,162,162,160,158,158,157,156,156,156,156,157,158,158,158,159,160,161,162,162,164,165,161,157,157,160,160,155,151,151,151,152,153,153,153,152,150,149,148,147,147,149,149,149,148,149,148,147,147,148,148,148,147,144,143,144,144,143,143,142,141,143,145,144,141,142,146,146,140,139,141,144,149,151,149,147,147,151,154,152,149,147,144,143,144,146,147,147,148,151,151,150,150,151,150,147,148,151,148,145,146,148,150,150,147,143,142,144,144,145,145,145,144,143,141,140,141,141,141,141,142,143,141,139,139,141,143,144,142,140,140,142,142,142,144,143,141,142,146,150,151,149,146,143,142,143,146,147,145,141,140,140,143,146,144,141,null],[144,142,139,135,132,129,123,119,125,129,129,129,128,125,128,133,135,130,124,124,128,130,129,128,129,130,131,129,127,125,124,122,121,121,121,122,122,120,117,116,115,115,115,115,114,111,110,110,113,117,120,119,114,111,109,111,115,119,121,119,115,111,107,105,103,105,108,110,112,112,111,112,112,110,108,110,115,120,122,122,123,122,123,123,123,124,126,125,123,123,124,125,124,123,124,126,128,128,129,129,129,129,127,127,126,127,128,129,130,131,131,130,130,131,133,134,133,132,133,135,135,134,134,133,133,134,136,136,136,136,136,139,139,137,136,138,139,139,139,138,138,139,140,140,140,139,139,138,138,139,140,139,139,139,138,136,132,131,131,134,135,134,132,132,133,133,133,132,130,127,127,128,128,127,127,128,127,125,127,129,130,132,134,136,136,136,136,133,128,125,126,130,130,130,132,133,131,128,127,128,131,134,137,138,136,135,136,135,134,133,131,130,131,133,135,134,133,134,134,135,135,137,137,137,138,138,138,139,141,143,142,140,139,139,139,139,138,137,138,140,141,140,139,140,141,141,142,144,144,141,141,144,144,145,147,145,140,139,141,141,139,139,143,145,144,142,143,145,146,147,149,148,145,142,140,140,141,142,143,144,145,148,150,151,150,150,148,147,145,144,144,144,144,145,146,147,148,149,149,148,149,150,151,152,154,155,156,155,154,154,155,155,156,158,161,164,163,161,160,160,159,156,155,156,155,151,147,147,151,154,153,154,156,154,151,151,150,147,147,149,152,152,150,151,152,153,155,157,158,157,156,157,157,156,158,160,161,160,159,158,159,159,157,156,159,160,158,157,157,157,159,161,161,161,161,162,162,158,154,155,156,155,153,151,151,151,151,152,153,153,152,149,149,148,147,145,146,149,150,149,147,146,146,146,147,148,148,147,147,148,148,147,146,145,144,142,142,141,140,140,142,145,143,139,140,144,147,150,151,149,146,146,149,152,151,151,150,146,142,141,145,148,146,148,152,151,148,147,146,146,144,147,150,148,146,145,147,150,152,151,147,145,146,148,149,149,146,145,145,143,141,141,140,139,141,145,145,143,140,141,144,147,146,142,140,140,141,140,140,142,141,140,144,147,147,148,149,147,144,141,141,145,147,145,141,140,142,144,144,142,140,null],[142,141,138,132,129,128,124,121,125,130,133,136,136,134,132,133,138,136,126,122,124,128,131,131,130,130,129,127,126,125,124,122,122,124,123,122,122,123,121,118,116,115,116,117,116,112,111,113,116,118,119,116,112,109,110,112,115,118,121,120,116,113,111,108,107,108,110,113,116,114,110,111,112,112,112,113,115,118,120,120,120,121,122,123,123,124,124,124,122,123,124,126,126,125,125,125,126,127,128,129,128,127,126,126,126,127,128,129,129,130,129,129,129,130,131,133,133,132,133,134,134,134,134,133,134,134,135,135,135,135,135,137,138,135,134,136,138,139,137,136,137,140,141,140,140,141,142,140,139,140,141,141,139,138,138,137,135,133,131,131,133,134,134,134,133,131,131,131,131,128,127,127,128,127,127,128,127,126,126,128,129,130,133,135,137,136,134,131,130,131,132,132,131,132,133,132,128,126,126,129,132,135,136,136,134,134,136,135,134,133,132,131,132,133,134,134,134,134,133,133,135,135,134,134,135,137,138,139,140,140,139,137,138,140,141,140,139,139,141,143,143,142,140,140,141,142,142,143,143,143,143,145,146,147,146,143,140,140,142,143,142,142,144,147,147,145,143,143,145,146,147,148,146,143,141,141,141,141,139,140,143,148,150,150,148,145,143,142,143,145,147,146,144,143,143,144,146,148,149,150,151,152,152,152,153,155,156,157,156,155,155,155,155,157,160,163,162,159,157,158,157,155,156,158,157,152,148,147,151,156,159,159,157,152,150,152,150,146,146,149,153,153,152,151,152,155,157,157,158,155,154,155,157,156,158,160,159,159,160,160,160,159,157,156,161,162,159,157,157,156,160,164,164,162,161,160,158,153,153,155,154,152,152,152,152,150,149,151,153,154,152,150,149,148,146,143,144,148,150,148,145,145,146,146,145,145,145,147,151,152,151,150,148,147,146,144,141,139,139,141,143,143,141,141,144,148,150,150,149,148,145,144,147,150,151,151,150,148,143,141,144,149,147,148,150,149,147,146,144,144,143,146,148,147,145,145,145,147,150,152,151,149,148,151,151,149,146,145,147,146,143,141,140,139,143,147,146,143,142,144,147,148,147,143,140,139,139,140,140,141,141,141,144,145,143,145,148,148,143,140,140,145,148,145,140,139,142,143,142,140,141,null],[140,139,135,130,129,133,134,130,129,131,136,139,140,138,134,133,139,139,128,121,120,125,131,133,130,125,123,123,123,124,124,124,125,127,126,124,124,126,123,116,112,113,117,119,118,116,115,117,120,120,118,114,112,112,112,112,115,119,121,119,115,112,111,111,113,115,116,116,118,117,114,114,114,114,115,115,115,115,117,118,119,120,122,123,123,123,123,123,123,124,124,126,127,128,126,124,124,125,126,127,126,126,128,129,129,128,127,128,128,128,129,129,128,130,132,133,132,130,132,133,134,133,133,134,134,134,134,134,133,132,132,134,135,134,134,135,135,136,136,136,137,140,141,140,140,142,142,140,139,140,141,139,137,135,135,136,135,132,130,131,132,134,135,136,135,131,129,130,132,130,128,127,128,126,125,126,127,127,128,129,129,129,130,133,135,134,132,129,129,131,132,130,129,130,131,130,127,126,129,131,132,133,133,133,132,133,135,135,134,134,133,132,133,133,132,133,134,134,133,133,133,132,131,132,134,135,136,137,138,138,137,136,136,140,142,141,140,141,143,143,142,141,139,138,140,142,141,141,143,144,144,145,146,146,144,142,143,142,142,144,144,143,144,146,149,146,142,141,142,145,148,149,146,144,143,143,142,141,138,137,140,145,148,148,145,142,140,141,145,148,150,149,146,143,142,143,145,147,150,153,154,154,153,153,153,154,155,156,155,154,154,155,155,155,156,159,160,157,155,155,154,154,156,157,156,154,152,150,152,158,162,161,156,154,155,155,152,147,146,149,153,155,154,153,153,155,156,155,154,152,153,156,158,159,160,159,158,158,160,161,160,157,156,158,161,162,160,159,160,159,161,164,164,162,160,158,154,151,152,155,155,153,151,150,150,148,148,151,153,152,152,151,149,148,145,142,142,145,147,146,144,144,146,145,143,143,144,148,152,153,152,150,149,148,147,145,142,143,144,143,141,141,143,145,147,147,147,145,143,143,144,145,148,150,150,147,146,146,144,142,144,147,148,148,147,147,146,146,145,143,144,145,146,144,142,143,143,143,146,149,151,150,149,150,149,146,144,145,147,146,142,141,141,142,145,146,144,143,144,147,148,147,145,143,140,139,140,140,140,141,140,140,142,142,139,144,149,148,143,139,142,147,148,145,140,139,140,141,141,142,145,null],[141,138,134,133,136,140,139,135,134,135,138,142,143,139,133,132,137,137,128,122,120,122,128,131,127,122,120,121,122,123,123,124,126,128,127,125,125,127,123,114,110,112,117,120,119,119,120,121,122,120,116,114,115,116,115,112,114,121,122,119,115,112,111,112,116,119,119,117,117,117,118,117,116,116,116,117,115,114,115,117,118,120,122,125,125,123,122,123,124,124,124,125,127,129,128,125,125,125,125,125,125,127,129,131,131,130,128,127,127,127,128,128,128,130,132,132,130,128,129,131,132,131,131,132,133,133,134,133,131,130,131,132,133,134,135,136,135,136,136,137,138,139,139,139,140,141,141,139,138,138,139,137,134,133,133,134,133,131,130,132,133,135,135,135,135,132,130,130,130,130,128,127,127,125,124,125,127,128,129,130,128,127,128,131,132,131,129,127,127,128,129,128,126,126,127,127,125,127,130,131,131,130,130,131,132,133,135,135,135,133,132,132,132,132,131,131,132,134,135,133,132,130,130,132,135,135,135,135,136,137,137,136,135,138,140,139,139,140,141,141,140,138,137,137,139,140,140,140,142,143,144,146,147,146,145,145,145,144,143,145,145,144,143,146,149,147,143,141,141,144,148,149,147,145,145,146,144,142,139,138,140,142,144,145,144,143,143,146,148,151,153,152,149,147,146,145,145,146,149,152,153,153,152,152,151,152,152,153,153,153,153,154,153,152,153,157,159,157,154,153,153,153,154,154,154,156,156,155,156,160,161,159,156,158,159,157,152,147,145,147,152,153,152,153,154,153,153,152,151,152,154,157,158,159,158,156,157,159,161,161,159,155,156,160,163,162,161,161,162,161,161,162,161,160,158,156,152,150,152,155,156,153,150,149,149,147,147,148,149,150,152,152,148,148,146,143,142,142,143,144,142,143,144,143,142,142,145,149,152,152,151,149,148,149,147,146,146,147,147,143,139,139,143,146,145,143,142,141,140,141,144,147,150,151,149,145,144,144,145,144,144,145,149,147,145,146,147,147,145,144,144,146,145,141,140,142,143,142,144,147,151,151,150,148,146,144,145,147,148,144,140,142,145,146,147,146,144,143,144,148,149,146,142,142,142,141,139,140,140,140,138,138,139,139,138,144,149,147,142,139,142,147,147,145,141,139,138,139,142,144,147,null],[143,140,137,142,145,143,137,135,138,141,141,145,145,139,133,131,131,131,127,125,122,121,122,124,125,123,123,123,124,124,122,121,123,126,126,125,125,126,123,117,114,113,116,119,120,121,123,124,122,118,113,115,120,120,117,114,116,121,123,121,116,112,111,113,117,119,120,118,115,115,117,117,116,116,118,118,116,114,115,116,117,118,121,125,126,124,122,123,124,123,123,125,128,129,129,128,128,127,125,125,127,128,128,130,132,131,129,129,129,128,127,128,129,130,130,130,128,127,128,129,130,130,130,130,131,132,133,133,131,131,132,133,134,135,137,138,139,139,139,139,139,139,139,140,140,140,140,138,136,135,136,136,133,131,132,133,131,131,132,133,135,135,134,133,133,133,132,130,127,126,127,126,124,123,124,125,127,128,129,128,127,125,126,127,128,128,127,126,125,125,126,126,126,125,125,125,124,126,129,130,128,127,127,130,132,133,134,134,134,133,131,131,131,131,131,131,132,133,135,135,133,132,133,134,136,136,135,133,133,135,136,135,135,136,137,137,136,137,139,139,138,137,137,137,138,139,139,140,141,141,142,146,147,148,148,147,146,144,144,146,145,145,145,146,148,148,146,143,142,144,147,149,148,146,146,148,147,143,141,140,141,142,143,144,145,146,148,151,152,154,155,154,152,152,151,149,146,145,146,148,149,148,148,149,149,149,151,152,154,153,153,154,151,150,153,157,159,157,154,152,152,154,152,151,154,157,159,159,160,161,159,157,158,160,160,156,151,147,145,146,149,149,149,151,153,152,150,150,151,153,155,155,155,156,154,154,157,159,161,161,158,156,157,161,163,162,162,162,162,162,161,159,157,155,155,153,150,150,152,154,154,153,151,149,148,147,146,145,146,149,153,152,148,148,149,146,144,143,143,143,142,141,141,140,141,143,146,150,152,152,150,149,148,147,148,148,148,148,146,142,138,137,140,143,141,139,138,139,141,144,147,149,150,149,148,146,145,144,144,145,144,144,147,146,144,146,149,148,144,142,144,145,144,141,140,143,145,145,146,147,149,150,149,147,147,148,150,151,148,143,139,143,148,149,148,147,146,144,145,149,149,145,142,142,144,142,138,139,142,139,136,135,135,136,138,143,146,144,140,139,140,144,147,146,143,140,138,139,141,145,146,null],[143,142,142,144,144,141,138,138,142,145,146,147,145,139,135,132,127,126,128,128,125,120,119,121,123,124,125,126,125,124,122,119,121,124,126,125,124,124,124,121,116,112,114,117,120,123,126,127,123,117,112,115,122,121,116,116,118,120,122,121,116,113,113,116,118,120,122,120,115,114,117,118,117,116,119,121,119,117,116,116,116,118,121,124,125,123,123,123,124,123,124,126,129,130,130,130,129,127,126,127,129,129,129,129,131,131,129,129,130,130,129,129,130,130,130,129,129,129,130,130,129,130,131,129,129,132,134,133,132,133,135,135,135,137,139,140,140,141,141,141,141,140,140,140,140,139,137,136,134,133,135,136,134,131,131,130,130,131,133,134,135,134,132,131,132,133,133,130,126,124,125,125,124,123,124,125,127,128,128,127,125,124,124,125,126,128,128,126,124,123,123,125,126,126,126,125,125,127,129,128,127,127,127,128,129,130,131,132,132,132,131,130,130,131,132,132,133,134,136,137,135,134,135,135,134,133,133,133,133,134,135,135,135,135,136,136,135,136,138,139,138,138,139,140,139,139,139,141,143,143,142,143,145,147,148,146,143,143,145,146,145,145,146,146,147,149,150,146,143,143,145,147,148,149,149,150,148,145,142,141,142,142,143,145,147,150,151,152,153,154,154,153,153,153,152,150,148,147,146,146,145,144,146,149,149,150,151,152,152,154,155,154,150,149,151,156,159,158,153,149,152,156,156,155,156,156,157,159,161,161,159,158,159,159,157,154,151,149,147,147,147,146,147,149,151,150,149,149,151,153,154,154,154,155,154,154,156,159,161,160,158,158,159,160,159,159,160,160,159,158,158,156,154,152,152,150,148,151,153,152,151,151,152,152,149,147,145,145,147,150,152,151,149,151,154,151,149,146,146,146,144,141,140,139,140,142,146,149,151,152,150,149,147,145,147,148,147,146,145,142,139,139,139,141,139,137,137,138,141,146,150,151,148,146,147,147,145,142,143,146,146,143,144,144,144,149,151,148,142,140,142,144,142,141,141,143,146,147,147,146,145,146,147,149,150,151,153,153,148,143,141,144,149,150,149,147,147,147,148,149,148,144,143,144,145,142,138,141,145,140,136,135,135,135,136,140,142,142,140,138,139,144,148,147,144,140,137,137,139,142,145,null],[142,143,144,141,139,139,142,144,146,147,148,147,144,140,138,134,127,125,129,131,128,123,120,121,122,124,126,127,125,124,123,121,122,125,126,126,124,123,124,124,118,112,113,117,119,123,126,128,123,116,112,116,120,118,114,116,119,120,120,119,117,116,117,119,119,120,123,122,116,115,118,120,118,116,118,123,122,120,119,116,115,117,119,121,122,123,123,123,124,124,124,126,129,131,131,130,129,127,127,130,130,129,129,130,130,130,129,129,131,133,132,131,130,130,130,130,131,132,134,135,133,133,132,129,130,134,136,134,133,134,137,136,136,137,140,141,140,140,140,141,141,140,140,139,139,137,135,134,132,132,134,136,134,132,130,129,130,132,134,134,135,134,131,130,131,132,131,129,126,124,124,124,125,125,125,125,127,128,127,125,124,124,123,123,125,127,128,126,124,122,121,122,125,127,127,126,127,130,130,129,128,128,128,127,126,127,129,130,131,132,132,131,131,132,134,135,136,136,139,140,139,137,137,135,132,131,131,134,136,137,136,135,135,136,136,137,137,138,139,139,139,140,142,142,142,140,140,142,144,145,143,141,141,143,144,142,140,142,145,146,145,145,147,148,148,150,151,147,144,143,143,145,147,150,152,151,149,146,143,142,142,143,143,145,147,149,150,151,152,151,150,151,152,151,151,151,150,150,149,146,143,142,144,149,151,151,152,151,150,154,156,154,151,149,151,155,158,157,152,148,152,159,161,159,158,157,156,158,160,162,161,159,158,156,153,151,151,152,151,149,147,146,148,150,151,150,149,150,151,151,152,153,155,157,156,155,157,159,162,161,159,161,160,158,156,155,156,157,155,153,154,155,154,151,150,148,147,150,153,152,149,149,152,153,150,146,145,147,150,151,149,149,152,155,156,155,153,150,149,149,148,145,142,140,140,141,144,148,150,150,150,150,148,144,146,148,144,142,143,143,142,141,140,141,140,141,142,141,142,147,151,152,148,145,147,146,143,141,142,147,147,144,142,142,145,150,152,148,143,141,140,141,141,141,142,142,143,145,147,146,142,142,146,149,150,150,152,151,146,143,144,145,147,148,149,148,147,149,151,150,147,143,144,147,147,143,140,144,147,142,138,137,136,134,134,138,142,142,140,138,140,145,148,147,144,139,137,136,137,140,144,null],[142,141,142,139,139,142,145,147,147,147,147,147,144,141,139,135,129,128,130,132,131,127,124,123,122,123,127,126,124,124,125,126,126,126,127,127,125,123,123,123,121,117,117,118,120,121,122,124,120,114,115,117,118,116,114,116,119,120,120,119,120,120,119,118,118,120,122,122,119,118,120,120,119,116,117,121,123,123,121,118,116,116,117,118,120,122,122,122,123,123,125,126,127,129,130,131,131,129,130,133,132,129,129,130,132,132,130,129,130,132,134,133,132,131,131,131,132,133,136,138,138,136,134,132,133,136,137,135,133,134,137,137,136,136,138,140,140,140,140,140,140,140,140,138,136,134,133,132,131,132,133,134,133,131,131,131,132,133,134,134,135,134,131,129,129,129,129,129,128,126,125,125,125,126,126,125,126,126,126,124,124,124,124,123,124,126,125,124,124,123,121,122,125,127,128,127,129,131,131,131,130,129,128,128,129,130,130,131,130,131,131,132,132,133,135,137,138,139,141,143,143,141,139,136,134,133,134,137,140,140,137,135,135,136,137,138,139,140,140,140,140,141,142,142,142,142,142,142,145,146,145,143,141,139,139,140,140,143,145,146,146,146,148,150,150,151,150,146,144,143,144,144,145,149,151,151,150,147,144,143,144,144,143,144,146,147,148,149,148,147,147,148,149,150,151,152,152,153,152,147,143,142,144,148,150,151,152,150,150,152,153,152,151,151,152,156,158,156,150,148,152,158,160,158,156,157,159,160,161,161,160,158,155,153,150,149,151,154,153,151,149,148,149,152,153,151,151,152,152,150,150,152,155,157,157,158,159,161,164,164,161,161,161,159,155,153,154,154,152,150,151,154,154,151,149,147,147,149,151,152,151,149,149,150,150,146,145,148,150,148,144,146,153,155,155,156,154,153,152,151,149,148,146,143,141,140,143,147,148,147,146,148,148,145,146,148,144,139,139,142,143,141,141,142,143,145,147,146,145,148,152,153,149,147,148,148,144,141,141,146,147,143,141,141,145,147,149,148,147,145,141,139,139,142,144,141,140,142,146,145,141,142,146,147,147,148,150,150,145,146,148,146,145,146,149,150,150,151,152,152,149,147,146,147,147,145,144,145,146,144,140,138,135,133,134,139,143,142,139,139,142,145,148,147,144,140,137,136,137,140,144,null],[141,139,140,140,141,144,145,145,145,146,146,145,143,142,139,135,132,131,132,132,132,131,130,128,124,124,126,126,126,126,127,128,129,128,128,127,125,124,123,124,124,122,121,121,121,118,116,116,115,114,117,117,116,116,117,117,119,122,122,121,122,122,119,117,117,118,120,121,122,121,120,119,118,117,117,119,121,122,121,119,118,117,117,117,120,123,123,122,123,124,126,126,126,127,129,131,132,130,131,133,132,128,128,130,132,132,131,129,128,131,133,134,133,133,133,134,133,133,135,138,138,137,136,136,137,138,138,136,135,136,138,138,137,136,137,139,140,140,140,139,139,140,140,137,134,133,132,131,131,131,132,131,130,129,130,132,134,134,133,133,132,132,131,129,127,126,127,128,128,127,128,126,125,124,125,126,127,126,124,123,123,123,123,123,124,126,125,125,125,124,124,126,127,128,129,130,131,132,132,132,133,133,130,130,134,136,135,134,131,130,131,132,132,133,135,137,138,140,142,144,143,142,140,139,139,138,138,139,141,140,137,135,136,137,138,137,137,138,139,141,142,142,141,139,140,143,144,145,144,144,144,143,140,138,138,140,143,145,146,146,147,148,150,151,151,150,148,146,144,144,146,146,145,147,150,150,149,148,145,144,147,147,144,144,144,145,146,146,145,145,146,147,148,148,150,152,154,154,153,148,145,145,145,145,147,150,150,150,150,151,151,151,152,153,154,155,155,153,149,148,150,154,156,155,153,156,159,160,161,160,158,155,152,150,149,150,153,156,156,153,152,151,152,152,153,153,154,154,152,150,150,152,155,157,158,159,160,162,165,164,162,160,160,160,156,152,150,151,151,151,151,152,153,151,147,146,146,147,149,150,151,148,145,146,148,147,146,150,150,147,143,144,150,152,153,154,154,153,153,152,149,148,148,146,142,140,141,144,147,146,143,145,146,145,147,148,145,142,139,141,142,139,140,142,144,146,149,148,147,148,150,151,150,149,149,149,147,144,142,143,143,142,140,141,144,145,147,150,149,146,142,139,139,141,142,140,140,142,144,143,140,143,146,145,144,146,150,151,148,149,151,149,146,147,150,152,151,151,152,153,153,151,149,148,150,149,147,144,144,142,140,137,135,134,136,141,143,140,139,142,143,143,144,146,146,143,139,137,138,142,146,null],[139,139,141,142,143,142,142,143,144,145,146,144,142,141,138,135,134,134,134,132,131,134,136,133,128,124,126,128,130,129,128,129,131,131,128,125,124,124,125,126,125,124,124,124,122,118,114,113,115,117,119,118,117,118,119,118,120,123,123,123,124,121,118,116,117,118,119,120,124,123,119,118,118,118,118,118,119,119,119,119,120,118,117,118,120,123,124,124,124,125,125,125,125,125,127,130,131,130,131,132,131,128,129,130,131,131,131,130,129,130,131,132,134,135,136,136,134,132,133,134,135,137,139,139,140,140,139,137,137,138,139,140,138,137,137,138,140,140,140,138,138,140,140,137,134,132,132,131,131,131,131,129,128,128,128,132,135,134,132,130,129,130,130,128,125,125,126,126,125,127,129,127,124,123,125,127,127,126,123,122,122,123,124,124,125,127,128,128,127,125,127,131,131,131,133,135,133,132,133,134,136,136,134,133,137,140,139,136,132,130,132,133,132,130,132,135,137,138,140,142,141,141,141,141,142,141,141,140,140,139,137,137,138,138,137,135,133,134,137,141,143,142,139,137,138,142,145,145,143,142,143,142,140,139,140,143,144,146,146,146,147,150,152,151,150,149,148,148,148,147,149,149,147,148,150,149,148,148,147,147,149,149,147,145,144,145,146,146,144,145,148,148,148,148,149,153,155,155,152,149,148,148,146,143,144,147,149,150,150,151,151,151,152,154,154,153,151,149,149,149,149,151,154,154,152,153,156,158,159,159,157,154,150,149,150,152,155,158,158,156,155,154,154,152,152,153,156,156,151,150,152,154,156,158,159,159,160,161,162,163,161,157,157,158,156,151,148,148,150,151,151,150,151,149,147,146,146,146,146,147,148,145,143,144,148,148,148,150,150,148,146,145,145,147,149,152,153,151,152,151,147,146,146,146,143,140,139,140,143,144,143,142,143,145,146,147,147,146,143,140,140,138,139,139,141,144,147,148,147,147,148,148,148,149,149,149,147,146,143,141,140,141,139,141,144,145,147,151,149,145,143,143,142,140,138,137,140,142,141,140,141,143,144,144,144,146,150,151,151,152,153,152,150,150,151,151,149,149,152,154,154,152,150,151,152,152,148,145,142,140,138,136,135,135,138,142,142,139,139,143,143,141,142,145,147,146,141,138,139,144,148,null],[138,140,142,142,140,140,141,143,143,144,145,144,142,139,137,136,136,135,133,131,132,136,137,135,129,126,128,132,133,130,127,129,134,134,129,124,124,125,126,126,124,123,125,126,124,120,118,118,120,122,123,122,120,118,117,118,120,123,124,125,125,121,118,119,120,120,119,120,123,122,118,117,119,121,121,119,118,118,118,121,121,117,115,117,120,121,122,124,125,124,122,122,124,125,126,128,130,131,131,131,130,128,130,130,131,131,131,131,130,129,130,131,133,134,135,134,132,131,132,134,135,137,139,139,139,140,139,138,138,138,139,141,140,139,138,138,138,139,138,136,136,138,138,136,133,131,132,132,132,132,131,129,128,129,131,133,135,134,132,129,128,128,128,126,123,125,125,123,122,124,127,128,125,123,124,125,125,125,124,124,124,127,128,127,127,129,131,132,129,128,129,133,134,134,135,137,135,134,135,137,139,139,136,135,137,139,137,134,131,132,136,137,133,129,130,134,136,137,138,140,140,140,140,141,141,142,142,142,140,139,140,141,141,140,138,134,131,132,136,140,141,139,137,136,138,141,143,142,141,141,142,141,140,139,141,143,144,145,145,146,148,152,153,152,150,150,151,151,151,151,150,149,148,151,153,151,148,149,150,150,150,149,148,146,145,145,146,147,147,148,149,149,149,148,149,152,155,154,152,150,149,150,148,145,143,145,149,151,151,152,153,153,154,154,153,150,147,148,152,154,153,152,154,155,154,153,153,156,159,160,159,156,153,152,152,152,154,159,159,157,157,156,156,154,152,154,156,155,150,150,155,157,157,157,158,159,159,159,159,161,161,157,156,156,155,152,149,148,149,151,151,149,149,149,147,146,146,146,146,147,146,144,143,145,148,149,149,150,150,150,148,146,144,144,146,151,152,150,148,147,146,145,145,146,143,139,138,139,140,142,144,142,142,144,146,146,147,147,145,142,139,139,138,137,138,142,145,146,146,147,148,147,147,148,149,146,143,143,142,140,139,140,142,144,146,146,147,148,149,148,147,146,145,141,136,136,140,142,141,140,141,142,142,143,145,147,148,148,149,150,151,152,154,154,152,148,146,148,151,153,152,151,151,152,152,151,150,148,145,141,138,136,136,137,140,142,141,137,137,139,140,141,143,146,147,144,140,139,141,144,147,null],[137,140,140,138,137,139,143,144,142,140,142,145,143,138,136,137,137,135,133,130,131,136,136,134,131,130,132,136,137,133,130,130,133,133,127,124,125,126,126,124,122,122,125,128,126,123,122,125,125,123,123,124,123,119,116,117,120,122,125,127,127,124,121,123,124,121,119,119,121,121,119,119,121,123,122,118,118,117,117,121,122,116,114,116,118,119,122,124,124,122,120,122,125,126,127,128,131,132,131,130,129,129,130,130,129,129,130,131,131,130,130,130,130,131,132,131,130,130,132,134,136,137,137,136,136,138,138,138,138,139,139,140,140,138,136,135,134,135,135,133,133,136,137,135,132,130,131,133,134,133,131,128,129,131,133,133,133,133,132,129,128,127,125,123,122,124,124,121,120,122,125,127,126,125,124,123,124,125,126,127,127,130,132,130,128,129,132,134,133,132,132,134,135,136,136,136,137,137,138,139,139,139,137,136,136,137,135,133,132,134,138,139,135,131,131,134,136,136,137,139,140,140,140,140,139,141,142,142,141,141,141,142,142,141,138,135,133,134,136,138,138,137,137,136,137,139,140,139,139,140,141,140,138,137,140,142,143,144,144,146,149,151,151,151,151,152,152,153,153,152,150,148,148,151,153,152,150,150,151,152,151,149,147,148,148,146,146,149,151,151,150,151,150,149,149,151,153,154,152,150,150,151,150,147,145,146,148,149,149,151,154,155,156,155,151,147,146,149,154,158,157,155,156,157,157,155,155,157,161,162,161,159,158,157,154,150,150,155,157,157,157,157,156,156,156,157,156,153,149,150,155,157,157,157,158,158,157,156,156,159,159,156,155,155,153,151,149,147,148,150,150,148,148,148,147,146,146,146,147,146,144,143,144,146,147,149,149,149,149,148,146,145,144,144,146,151,152,150,147,145,145,144,144,145,142,139,139,140,140,143,145,143,141,143,145,146,144,143,146,143,141,140,139,138,138,142,144,145,145,148,149,148,147,147,148,143,138,138,139,140,141,142,145,147,148,147,145,145,147,150,150,149,146,141,137,137,139,142,141,140,141,140,140,143,146,147,146,145,147,148,149,151,155,157,152,146,145,146,149,150,149,149,150,151,149,148,148,149,147,142,138,137,136,137,139,141,139,138,136,136,139,142,145,146,144,139,138,140,143,144,144,null],[135,136,136,136,136,140,143,143,139,137,140,143,142,138,138,139,137,135,132,130,130,135,135,132,133,136,136,139,140,137,133,131,130,127,124,124,126,124,123,123,121,121,125,129,129,125,124,127,126,121,120,122,124,122,119,118,121,123,126,128,128,127,127,127,126,123,119,118,120,122,122,122,123,123,120,117,118,118,117,120,121,120,118,117,117,118,121,124,124,121,120,123,126,128,128,130,132,133,132,130,129,129,129,129,127,127,128,129,131,131,131,130,130,130,130,129,128,128,130,132,134,135,135,133,134,136,137,138,139,139,139,137,135,135,134,132,130,131,132,130,130,133,136,134,130,129,131,132,133,132,130,129,131,133,132,131,131,131,131,129,127,125,122,120,120,121,122,121,120,121,123,126,127,125,124,125,125,126,128,128,129,130,131,130,129,129,132,134,134,136,137,137,137,137,136,135,138,140,140,139,138,138,137,136,136,137,138,136,134,136,139,140,138,134,133,135,137,138,139,139,139,139,140,140,140,140,141,142,141,140,140,141,141,139,138,138,138,138,137,136,137,137,136,134,135,138,140,140,139,138,138,138,137,136,138,141,142,142,143,145,147,147,147,148,152,152,151,152,153,151,149,148,149,149,150,151,150,150,151,152,153,151,148,149,150,147,147,150,153,153,152,152,152,151,149,149,152,153,151,150,151,151,150,148,147,148,148,146,146,149,153,154,154,152,148,147,149,152,155,158,159,159,158,157,158,159,159,160,162,162,161,161,161,159,155,149,148,151,154,157,159,157,155,156,159,160,158,153,149,149,153,154,155,156,158,158,154,152,153,155,154,153,155,155,152,149,148,146,146,148,148,146,145,145,146,145,144,145,146,145,143,142,145,147,147,146,147,147,147,145,143,144,145,146,148,151,152,150,148,146,146,144,142,143,142,141,139,140,143,145,146,143,141,142,144,146,142,141,144,143,142,141,140,141,141,143,146,147,147,147,148,148,146,145,146,142,136,135,138,141,143,145,147,148,146,144,144,144,146,148,150,149,146,141,137,138,140,141,141,140,140,139,140,142,145,145,145,145,148,149,150,151,153,155,152,148,145,145,146,147,148,149,148,148,147,146,146,147,145,141,138,138,136,136,137,138,139,138,138,138,141,144,146,145,141,135,135,140,143,142,141,null],[134,134,136,138,138,138,139,139,137,138,139,142,142,139,139,141,138,134,131,129,130,134,133,131,134,137,137,138,139,136,133,129,126,124,123,124,125,123,122,123,121,120,124,128,129,129,127,127,124,120,118,119,121,122,122,121,122,126,128,128,127,127,129,128,126,125,121,120,122,124,124,124,125,123,119,117,121,122,120,119,121,123,123,120,118,117,119,123,124,122,119,118,123,128,129,130,130,131,132,131,130,129,128,128,128,127,128,128,131,132,132,131,131,130,129,127,126,126,127,128,130,132,134,134,135,137,138,139,139,137,135,132,131,133,132,129,128,130,130,128,127,129,132,131,128,128,130,130,130,130,130,131,133,132,130,129,130,130,129,127,125,123,120,119,119,120,121,121,122,123,124,125,127,127,126,127,127,128,128,129,130,132,132,130,130,130,132,133,135,138,139,139,138,138,137,137,139,141,141,138,137,138,138,137,136,139,142,140,138,138,139,139,137,135,134,136,138,140,140,140,139,139,140,141,141,141,142,142,141,139,140,141,140,137,137,140,141,139,137,137,139,138,134,131,133,137,139,139,138,136,136,136,137,137,138,139,139,140,141,143,143,143,144,147,150,150,150,152,153,150,150,150,150,149,149,149,150,150,150,152,153,153,151,150,150,147,147,150,153,153,152,152,152,150,148,148,151,153,152,152,152,151,149,147,148,149,149,146,144,146,149,151,150,147,147,149,153,155,157,158,159,159,158,158,159,160,161,162,162,161,160,160,160,157,154,152,151,151,153,157,160,157,155,156,159,160,159,156,152,150,151,151,152,154,157,156,152,149,151,152,153,155,157,156,151,149,150,148,147,147,146,145,144,143,143,143,143,144,144,144,143,143,145,146,146,144,144,145,145,145,143,143,146,146,146,149,151,149,148,147,146,143,140,141,143,141,140,141,143,145,144,143,141,141,143,144,142,140,141,141,140,140,140,141,142,144,147,149,149,146,144,145,144,144,145,141,135,135,139,144,146,147,147,146,143,141,143,146,147,146,147,147,144,141,138,139,140,141,139,138,140,141,141,142,143,143,143,145,149,150,151,151,152,152,150,148,145,143,143,145,147,148,147,146,146,147,147,145,142,140,140,139,136,135,136,137,137,137,139,141,142,144,145,144,140,136,136,139,140,139,138,null],[134,136,138,140,139,136,135,136,138,140,141,143,142,140,140,142,141,136,131,131,134,136,134,131,133,135,134,135,136,133,130,128,125,124,125,125,124,124,124,124,121,121,124,128,129,131,131,126,122,121,121,121,119,121,124,123,124,127,129,129,126,126,125,125,124,125,124,124,126,127,125,126,125,123,120,120,123,124,122,120,121,123,125,123,119,116,116,120,124,123,118,114,119,127,129,129,127,128,130,130,129,128,128,128,128,128,129,129,131,133,133,133,133,131,129,127,126,125,126,127,128,131,135,137,138,139,140,140,138,134,130,127,129,132,132,129,129,130,130,126,125,127,129,129,127,127,129,128,128,130,132,132,132,130,128,128,128,128,127,125,124,123,121,120,120,121,121,122,124,126,126,126,127,128,128,128,128,128,128,130,133,134,134,132,131,132,133,134,136,138,139,139,139,139,139,140,140,141,140,138,138,140,141,140,138,139,142,142,141,140,140,138,136,134,133,136,138,139,139,139,139,140,140,142,143,144,145,144,141,139,141,143,141,136,137,142,142,138,137,139,141,139,135,133,134,136,137,137,137,137,136,136,137,138,139,139,138,139,141,141,141,141,143,146,148,148,149,152,152,150,152,153,151,150,149,148,149,150,151,152,153,153,152,150,148,147,147,150,153,154,151,152,152,149,148,149,151,153,154,154,152,151,149,148,149,150,151,149,146,146,147,147,146,146,147,150,153,155,157,157,156,155,156,156,157,158,160,160,160,160,160,159,159,156,154,155,156,155,155,157,160,158,156,156,158,159,160,159,156,153,152,151,152,153,155,155,152,150,152,153,157,160,160,156,153,153,155,154,151,148,145,144,144,143,142,142,144,144,144,145,144,145,146,146,144,142,142,142,144,145,143,144,146,143,142,147,148,147,146,147,147,144,140,140,141,140,141,142,140,142,143,143,141,139,140,142,142,141,139,139,139,140,140,141,142,144,147,150,150,145,142,143,143,143,144,141,136,136,140,146,148,146,145,144,142,140,142,148,148,145,143,143,143,140,139,139,141,141,138,137,140,142,143,143,143,143,143,144,149,151,151,152,151,150,148,147,145,142,142,144,146,146,146,145,147,148,148,146,143,142,141,139,136,136,137,137,136,137,139,142,142,143,142,143,141,139,138,138,138,137,136,null],[137,138,139,140,140,137,136,136,139,141,143,146,146,142,140,142,145,142,136,137,141,141,137,133,131,132,131,133,133,132,129,128,126,125,126,126,126,128,128,126,123,122,126,128,128,131,132,125,120,121,123,125,124,123,123,124,124,125,128,130,128,125,122,121,121,124,125,126,127,127,127,126,123,121,120,122,123,123,121,119,118,119,122,123,120,116,115,118,122,123,120,118,120,125,128,129,128,128,128,128,128,129,129,128,128,128,129,131,131,132,132,132,132,131,131,129,127,127,127,129,130,132,135,137,138,138,140,140,138,134,129,127,128,130,130,129,131,131,129,126,125,129,131,130,129,128,129,129,129,131,132,132,130,129,127,126,124,124,125,124,124,124,123,123,124,123,123,124,126,127,127,127,128,128,128,128,128,128,129,131,134,135,135,134,134,133,133,135,138,138,137,138,139,140,142,142,141,140,140,140,141,142,144,143,140,139,140,142,143,142,140,137,135,134,134,135,137,138,138,138,139,140,140,142,145,146,146,145,143,140,142,144,142,137,138,142,142,138,136,139,142,141,139,138,138,137,136,137,138,138,137,136,136,137,139,141,142,143,143,143,141,141,143,145,146,146,147,149,149,150,153,155,152,150,150,148,148,151,153,153,153,153,152,150,148,147,148,150,153,154,153,153,153,150,149,149,151,152,154,154,153,151,149,148,149,150,152,152,151,149,147,148,149,150,149,148,149,152,154,152,151,151,152,152,153,154,155,156,157,159,160,161,160,157,154,156,158,158,157,158,160,159,157,157,158,159,161,160,157,155,154,154,155,154,155,155,154,153,154,157,160,161,158,156,156,158,160,159,155,151,147,143,143,145,144,145,146,146,145,143,144,147,146,144,142,141,141,141,142,143,143,143,143,141,142,146,148,147,145,145,148,146,143,140,139,140,142,141,138,140,144,143,139,138,139,141,140,139,138,138,141,142,143,144,145,146,146,148,149,145,144,145,144,144,144,141,137,135,139,146,147,144,144,142,139,140,143,146,146,144,142,141,140,139,138,139,140,140,138,138,141,143,144,145,145,144,144,145,148,150,150,150,151,150,148,147,146,143,142,143,144,144,144,145,147,147,147,146,145,143,140,137,136,136,137,137,137,138,140,142,142,141,141,141,141,140,140,139,139,137,135,null],[141,141,138,138,140,140,140,139,139,140,144,148,149,145,143,144,148,147,141,142,145,146,142,135,130,130,131,132,132,131,129,127,125,124,125,126,129,131,131,129,125,124,126,127,126,130,132,127,123,123,126,129,128,126,123,124,123,123,126,129,128,126,122,119,117,120,125,127,126,124,125,123,120,119,121,122,121,121,121,119,116,117,120,123,121,118,116,117,119,121,122,123,123,125,127,129,129,127,125,126,127,129,129,128,127,128,130,132,132,131,131,131,131,131,132,131,128,127,129,130,131,132,133,134,135,135,136,136,135,133,130,128,128,128,127,127,129,129,126,125,127,131,133,132,131,131,132,131,129,130,130,130,130,129,127,124,122,122,123,123,123,122,123,125,127,127,127,128,128,129,128,128,128,128,128,129,129,129,130,132,133,134,134,136,136,135,133,135,139,138,137,139,141,142,143,143,140,139,140,141,142,142,143,144,142,139,138,140,143,143,140,138,138,137,136,136,136,137,137,138,139,139,139,142,144,145,145,145,145,144,144,144,142,138,139,142,141,138,136,139,143,143,142,142,141,140,139,138,138,139,139,138,137,138,140,143,146,146,146,146,144,142,143,145,145,145,145,146,147,149,153,154,153,152,150,147,148,151,153,153,152,152,152,151,149,148,150,151,153,154,154,154,153,151,150,150,151,153,154,155,154,152,149,148,149,151,152,153,154,153,150,149,151,153,152,148,147,148,149,149,148,149,150,151,153,153,153,154,156,158,159,161,161,158,155,154,157,159,159,159,159,158,158,159,160,160,160,158,156,155,156,157,157,156,155,155,157,156,155,158,160,159,157,156,158,160,161,159,156,154,149,144,146,149,148,148,149,149,146,142,143,146,145,143,142,142,142,142,141,142,142,142,141,143,144,146,147,147,145,145,148,147,145,142,140,141,142,141,139,141,144,143,139,137,139,141,139,137,137,139,142,143,145,147,147,146,145,147,148,146,144,145,143,143,145,143,138,134,137,144,144,143,144,141,138,140,143,144,143,142,141,140,139,139,138,139,139,140,139,140,141,142,145,146,145,144,145,147,149,150,149,149,149,149,148,148,148,146,143,142,142,142,142,144,146,146,144,146,147,143,140,137,136,136,137,137,139,140,142,143,141,140,139,140,140,139,139,140,140,139,137,null],[143,142,138,137,139,141,142,142,141,142,144,147,149,147,146,146,147,146,143,143,146,147,145,138,133,131,132,134,132,131,128,125,123,122,123,127,130,132,132,131,127,124,124,125,126,130,132,129,126,125,128,130,129,128,127,126,124,124,125,126,127,126,124,120,118,120,126,129,125,121,119,118,118,119,122,123,120,120,122,120,117,118,120,123,123,121,119,118,118,119,122,125,125,123,124,126,126,124,123,125,127,128,127,127,128,129,130,131,130,130,130,130,131,131,132,131,129,127,128,130,130,130,132,132,132,131,130,131,131,132,131,129,127,125,125,126,127,126,125,126,128,131,132,132,132,133,133,131,128,126,127,128,129,128,126,125,123,122,122,122,121,120,122,125,129,132,133,132,131,130,129,129,130,130,130,130,131,131,131,132,133,133,134,136,137,135,133,134,138,137,137,140,143,142,144,143,139,138,140,142,141,140,141,143,142,140,139,141,142,142,140,140,141,140,138,138,137,136,137,138,139,139,139,140,141,142,142,144,145,147,147,146,142,140,140,142,141,139,138,140,144,144,143,143,143,143,142,140,138,138,138,139,140,141,142,144,145,147,148,147,144,142,143,144,144,144,145,145,146,148,150,152,153,153,150,147,147,149,151,152,151,152,153,152,150,150,152,154,153,154,154,153,152,151,151,151,152,153,155,156,156,154,151,149,148,151,152,153,153,155,154,150,150,152,153,151,148,147,147,149,150,150,151,154,156,155,153,155,157,158,158,160,161,159,156,154,155,158,160,161,159,157,158,161,162,161,158,156,155,156,156,157,158,157,155,156,159,158,155,157,159,159,158,157,157,158,158,157,155,154,151,148,150,152,151,151,152,151,148,144,144,145,144,143,144,145,145,144,142,140,140,140,142,145,146,146,146,148,147,146,146,145,145,145,143,141,140,141,142,143,144,143,141,137,139,141,139,136,137,139,141,142,145,148,145,143,144,148,149,145,143,142,140,141,144,144,141,135,135,140,142,143,145,142,138,140,143,142,140,138,139,140,139,140,139,138,138,139,140,140,141,142,144,144,143,143,146,150,151,151,150,149,148,148,148,149,150,149,145,142,141,141,140,141,144,144,143,144,146,143,141,139,137,136,136,137,139,141,142,141,139,138,138,138,139,139,139,139,139,139,140,null],[144,143,140,140,141,142,143,144,144,144,145,146,148,150,148,145,143,142,141,144,146,145,144,142,137,134,136,138,136,132,127,125,123,123,126,129,132,132,132,130,127,124,123,125,128,131,131,130,128,128,128,130,131,131,130,128,128,128,127,126,126,126,124,122,122,126,131,131,126,120,118,117,118,120,123,124,120,118,119,119,118,120,122,124,124,123,121,120,121,120,122,125,123,120,118,119,120,122,124,125,126,125,123,124,127,129,129,128,128,129,130,131,131,131,131,131,129,126,128,130,130,130,131,132,131,129,128,129,130,131,131,128,125,124,125,128,129,128,128,129,130,130,131,131,131,131,129,127,125,125,126,126,127,127,127,125,123,122,120,120,120,121,125,127,129,133,134,133,132,132,131,131,132,131,132,133,133,132,132,132,133,133,133,134,135,133,132,132,134,135,136,139,141,141,143,143,140,138,138,141,142,141,140,139,139,141,143,144,142,140,139,140,141,140,139,139,138,135,135,137,139,140,141,141,140,141,142,143,144,146,147,146,143,142,141,142,142,142,141,142,144,143,143,142,143,143,142,139,137,135,136,139,141,143,144,144,145,146,147,146,143,142,142,143,142,143,144,144,145,145,145,147,151,153,150,147,146,147,150,152,152,152,153,151,150,152,155,156,154,154,154,154,153,152,153,154,154,154,156,157,157,155,152,150,148,149,151,152,153,156,155,151,148,149,152,152,150,150,150,150,151,151,151,153,156,155,153,154,157,158,160,161,161,161,158,156,155,157,159,161,160,158,159,163,164,159,155,154,156,156,155,156,158,158,158,158,160,159,156,156,159,160,160,159,157,156,156,154,153,154,154,153,153,153,152,154,155,154,150,147,146,146,146,145,146,147,148,147,143,138,137,139,141,143,144,145,145,147,147,147,145,144,144,146,145,141,137,138,142,143,142,144,142,136,137,140,138,138,140,141,141,142,145,147,144,142,145,149,149,146,143,141,138,138,142,145,142,136,134,136,139,142,144,142,138,138,141,142,139,135,136,139,140,139,138,137,137,139,141,142,143,142,142,143,143,144,147,149,148,149,150,149,148,148,147,147,148,149,146,144,141,140,140,141,143,143,142,143,144,143,142,139,136,135,135,137,139,141,140,139,138,137,137,136,138,139,141,141,139,140,143,null],[145,144,141,142,143,143,143,144,145,145,145,145,147,149,148,143,142,141,141,144,145,142,142,144,140,137,139,141,141,134,129,128,127,128,132,133,134,133,132,130,128,126,123,125,129,131,130,129,129,129,129,130,133,133,130,130,131,132,130,128,128,125,122,122,126,133,135,132,128,124,122,122,122,123,125,126,122,118,117,117,119,121,123,124,124,122,121,122,123,122,121,120,119,117,114,114,117,120,123,124,124,122,121,122,125,126,125,124,125,127,130,131,130,130,129,129,128,127,129,131,132,131,131,132,131,129,129,129,128,128,127,125,124,123,127,131,131,131,132,133,131,128,128,129,129,126,122,122,123,124,124,123,124,125,126,124,123,122,121,120,122,124,127,127,127,129,131,131,132,133,132,132,133,132,132,133,133,132,131,131,132,132,132,131,131,130,130,131,131,133,134,136,138,139,141,142,141,138,136,140,143,142,138,136,138,141,144,144,143,140,139,139,139,139,140,140,138,134,133,135,138,140,141,141,141,141,141,142,142,143,145,144,143,143,144,144,145,145,145,144,144,143,143,143,143,142,140,137,134,132,133,138,140,141,142,143,144,146,146,143,142,142,142,141,141,141,142,144,144,143,142,144,149,151,149,146,145,147,150,151,151,151,150,150,152,154,156,156,155,154,155,156,155,154,155,157,156,155,157,158,157,155,154,152,150,149,150,152,154,156,155,152,148,148,150,152,153,154,154,153,152,152,151,152,153,152,150,152,155,157,161,163,163,162,160,157,155,156,158,160,161,161,160,162,161,157,154,154,156,157,155,156,157,159,161,161,160,158,156,158,160,160,160,160,158,157,156,153,152,153,155,155,154,152,152,153,155,154,152,150,150,150,149,148,149,149,149,147,143,139,137,138,139,140,142,143,144,144,145,145,144,144,144,145,145,141,137,136,139,140,140,143,142,137,136,138,138,139,141,142,143,146,146,145,142,142,146,148,147,147,145,142,138,137,140,144,144,138,133,134,137,141,142,141,139,137,138,141,138,134,136,138,138,137,135,135,136,138,141,143,143,140,139,143,145,146,147,147,147,148,150,149,149,149,146,144,146,147,145,144,141,140,142,144,143,142,142,142,142,143,142,139,136,135,136,138,140,140,139,137,137,138,137,137,139,142,144,144,141,141,145,null],[145,144,142,142,144,144,144,144,144,144,144,144,145,145,144,143,146,145,142,143,144,141,141,143,139,137,139,142,142,138,134,133,132,133,136,137,135,132,132,131,131,127,123,124,128,129,129,128,129,129,129,130,133,131,129,129,131,133,132,130,128,124,121,121,126,132,132,130,129,129,128,127,127,127,127,127,124,122,120,119,119,121,122,123,123,121,121,122,122,122,118,114,115,117,117,117,117,118,118,119,120,120,121,122,124,123,122,121,123,126,128,128,127,127,127,127,126,128,132,133,132,130,129,130,131,130,129,126,123,122,122,124,123,123,126,129,128,129,131,132,129,124,123,125,124,121,119,120,122,122,120,120,122,123,123,123,124,125,124,123,124,126,127,125,123,125,128,130,131,131,130,131,133,132,131,131,132,131,131,131,131,130,129,129,128,128,130,131,132,133,134,135,136,137,137,138,139,137,135,138,140,138,136,136,139,141,141,142,143,143,141,140,138,139,141,141,139,136,134,134,137,139,140,141,141,140,140,140,140,142,144,142,141,143,145,145,146,147,147,145,144,144,144,144,142,140,139,136,132,130,133,137,139,139,139,140,142,144,143,141,140,141,141,140,140,141,142,144,144,143,142,145,148,148,146,144,145,147,149,150,149,148,148,151,154,156,155,154,155,156,157,158,158,155,156,158,157,156,157,158,157,156,155,154,152,151,152,153,154,155,155,153,150,149,151,153,154,156,156,155,155,154,153,152,153,152,150,151,153,155,159,162,163,162,159,157,157,156,157,158,161,163,162,159,157,156,156,157,157,158,157,157,157,158,162,163,159,156,156,160,162,161,161,161,160,159,157,154,152,152,154,155,154,151,150,151,153,153,152,151,153,153,151,150,150,150,148,144,143,144,141,137,137,139,142,142,142,143,143,142,140,142,145,143,143,143,142,139,138,137,138,141,143,142,138,136,138,139,139,141,144,148,146,141,139,141,144,145,146,145,143,141,138,137,139,144,145,140,134,134,138,141,140,140,139,137,137,139,137,135,136,138,137,136,134,134,136,138,141,141,139,137,139,144,147,147,147,147,148,150,150,149,147,147,144,143,146,147,144,142,140,141,144,145,142,141,143,143,143,143,141,138,136,136,138,140,141,141,139,136,136,138,139,140,141,144,147,147,145,144,146,null],[142,143,142,143,144,145,145,145,145,144,143,141,141,142,142,144,147,146,143,142,142,140,141,141,139,138,139,141,142,141,140,138,135,136,138,138,134,130,128,130,131,128,124,123,125,127,128,129,130,131,131,130,130,129,127,128,130,131,130,129,128,126,123,122,125,128,129,129,131,131,130,131,131,130,127,126,125,126,125,122,119,120,121,121,120,120,121,121,121,121,118,114,116,120,121,121,119,117,115,115,116,118,121,123,123,120,119,121,123,125,125,124,124,125,126,125,126,129,131,132,130,127,126,127,129,130,128,122,119,120,124,127,128,127,126,124,122,123,126,127,125,122,121,121,120,119,119,120,121,120,120,121,124,125,124,123,125,126,128,128,128,127,127,125,124,124,126,129,129,127,127,129,130,130,128,128,129,130,130,130,131,130,129,129,129,128,129,130,131,132,133,133,134,135,135,135,135,135,134,136,137,135,136,139,141,141,140,142,144,144,143,140,138,140,142,141,139,138,136,135,136,139,139,140,140,139,138,138,139,141,142,140,140,142,144,144,146,147,148,148,147,146,146,144,142,140,139,136,132,131,134,137,139,138,137,138,140,142,141,139,139,140,139,139,140,140,141,141,141,142,142,144,147,146,143,142,143,145,148,149,147,145,147,151,154,155,153,152,152,154,157,159,159,156,156,158,157,157,158,158,156,155,154,153,151,151,154,154,153,154,155,154,151,150,152,154,155,155,155,156,156,154,152,153,155,156,153,152,152,153,156,159,161,161,159,158,157,158,158,159,161,164,164,159,156,157,159,160,159,159,159,157,156,158,162,163,159,156,158,162,164,163,162,162,160,158,157,154,152,152,154,154,152,150,151,151,151,150,151,152,154,154,153,152,151,149,147,144,145,147,143,138,137,140,141,138,138,141,142,140,139,141,143,141,142,143,146,144,140,136,136,139,142,144,140,136,139,139,137,138,143,147,143,138,138,140,142,144,145,143,142,140,138,138,139,142,145,142,137,135,137,139,139,139,138,136,135,136,135,135,137,138,137,137,136,135,137,139,139,138,137,137,141,144,146,147,147,148,149,150,151,149,146,145,144,145,146,146,144,140,139,140,142,143,141,141,144,144,144,144,141,137,137,137,139,141,142,141,139,137,137,139,141,141,141,143,147,149,149,147,147,null],[140,141,143,144,145,144,144,144,145,145,142,139,138,141,144,144,145,144,142,141,141,141,142,142,142,141,142,141,142,143,143,142,139,138,137,136,132,127,126,127,128,126,125,124,125,126,128,130,133,134,131,130,129,127,126,127,128,129,129,128,130,129,128,126,125,126,128,130,131,131,131,131,131,128,126,124,124,126,125,122,119,120,120,118,118,119,121,122,122,122,121,119,120,122,123,122,120,118,116,115,115,118,120,121,120,118,118,121,124,124,122,120,122,125,126,124,125,127,128,128,128,125,124,124,128,129,126,121,121,124,129,131,131,129,125,120,117,119,122,123,122,123,122,120,119,120,122,121,120,120,122,124,127,128,126,125,125,127,130,132,131,129,129,129,128,127,127,127,127,125,125,126,127,127,126,126,128,129,129,130,131,131,131,131,131,130,128,128,129,130,131,131,132,133,134,134,134,133,133,135,135,135,138,140,139,140,141,143,144,144,142,140,139,141,142,141,139,138,137,137,137,139,139,140,139,138,138,137,138,140,140,140,141,142,142,143,145,147,149,150,149,148,146,145,142,140,140,139,136,135,135,137,138,138,137,137,139,140,139,139,140,140,141,140,140,140,139,137,138,141,141,142,145,145,142,140,141,143,146,146,145,145,147,149,151,152,152,152,150,151,155,158,158,156,155,157,156,156,157,156,155,153,151,150,148,150,154,155,153,154,155,153,151,150,152,153,154,153,153,155,155,153,152,155,159,160,157,154,152,153,156,158,159,161,160,158,158,160,160,160,162,164,165,162,159,158,160,161,162,161,160,157,158,160,161,160,159,159,161,163,163,163,162,161,159,157,156,153,151,152,153,152,149,150,154,154,151,149,150,152,154,155,153,152,151,148,146,147,147,146,143,139,138,140,140,135,136,140,140,139,140,140,139,140,141,142,146,147,142,137,135,138,141,142,138,136,140,141,137,137,140,141,139,135,137,140,142,144,144,143,141,139,138,138,139,140,142,143,142,139,137,137,138,138,137,136,135,134,134,134,136,138,138,138,138,138,139,140,137,136,138,140,142,143,144,146,148,149,148,149,151,149,145,143,144,147,146,145,144,141,139,138,139,141,141,141,142,144,145,145,141,137,136,137,138,140,140,138,138,138,139,140,141,140,139,142,146,149,149,148,148,null],[143,143,144,145,146,144,142,141,142,144,143,139,138,142,145,144,143,142,141,140,139,142,144,146,146,144,143,143,144,145,146,145,145,144,139,134,130,128,127,127,125,124,124,125,127,128,131,135,137,135,131,129,130,129,127,127,128,129,131,133,134,134,132,130,128,127,128,129,129,130,130,128,126,127,127,125,122,120,118,117,119,121,122,119,119,120,121,122,123,123,123,123,124,123,122,122,122,122,120,118,118,120,120,120,118,117,118,120,122,123,120,119,122,125,125,124,123,124,125,126,127,126,124,125,127,128,125,124,125,128,130,129,127,126,123,119,117,119,124,124,123,125,125,123,122,123,125,123,122,123,124,125,126,127,128,126,125,127,131,134,132,131,131,132,131,130,129,127,126,125,125,126,126,126,126,127,129,130,131,131,132,132,132,132,132,131,129,128,129,132,133,133,132,133,134,134,134,134,135,136,136,136,137,137,137,139,142,142,142,142,141,141,142,143,143,141,139,139,139,139,138,138,137,138,139,139,138,138,139,140,142,143,143,142,141,143,144,147,149,150,149,147,146,146,144,142,141,141,140,138,138,139,139,138,136,137,139,139,139,139,142,144,145,144,143,141,139,137,137,139,140,141,143,143,142,141,141,143,144,145,144,144,147,148,149,150,152,153,150,150,152,155,155,155,155,155,155,156,155,154,152,151,151,150,150,151,154,155,155,156,155,152,151,151,150,150,151,152,153,154,155,154,155,157,159,161,159,156,153,154,157,160,161,161,160,158,159,161,160,160,161,163,163,162,160,160,160,162,164,164,162,160,161,162,161,160,163,164,163,162,162,161,160,160,159,157,155,151,150,151,151,149,148,152,156,156,151,149,150,151,153,154,153,152,150,148,148,151,149,144,140,139,139,140,139,137,137,138,138,139,141,140,138,139,140,141,143,144,143,139,137,138,140,139,135,136,140,143,141,139,138,137,135,134,136,140,143,145,145,143,141,139,138,138,138,137,139,144,146,144,140,138,138,138,136,138,138,136,135,135,137,138,138,138,139,140,139,139,137,137,138,139,140,142,144,146,147,148,148,148,148,146,145,144,146,147,145,144,144,142,139,136,138,141,141,140,141,142,144,144,141,137,135,136,136,137,136,135,135,136,138,140,139,139,140,144,147,147,145,146,148,null],[145,146,146,146,145,144,142,141,140,142,144,142,138,140,142,144,143,142,142,140,138,142,146,147,147,145,144,145,146,147,147,148,149,148,142,136,132,131,133,134,131,126,123,124,129,133,136,140,141,139,135,132,131,131,130,130,131,134,135,136,138,138,136,135,134,131,129,128,129,130,129,126,124,127,129,127,121,115,112,114,120,124,124,122,122,121,122,123,123,123,123,125,125,123,122,121,122,123,123,121,122,122,121,120,119,118,117,118,120,121,119,119,122,124,124,123,122,122,123,125,126,127,127,127,126,126,126,127,128,127,125,122,120,121,122,121,119,121,124,125,125,126,127,126,125,126,126,124,123,124,125,126,126,127,128,126,125,127,129,131,131,131,132,133,133,133,132,128,127,127,127,127,128,128,128,129,130,131,133,134,135,134,134,133,133,132,131,130,131,133,136,136,135,135,135,136,136,137,138,138,138,137,136,136,137,140,141,140,140,140,141,142,144,145,144,141,140,142,142,140,139,138,136,137,138,138,139,139,140,141,143,144,145,143,141,143,145,147,149,149,148,146,146,146,145,142,142,142,141,139,139,141,141,138,136,138,140,140,139,139,143,147,147,146,145,144,143,141,139,138,139,140,141,142,142,143,144,145,145,145,145,145,147,149,150,150,152,153,151,149,150,152,153,154,154,154,155,155,154,153,152,151,152,153,152,151,153,155,156,157,156,153,153,154,151,148,149,151,154,157,157,156,156,157,158,158,159,158,156,155,157,160,162,161,159,158,160,162,161,159,161,162,162,161,160,161,162,164,165,165,164,163,163,163,162,163,166,167,164,161,159,159,158,158,159,159,155,151,150,151,149,146,149,155,158,156,152,148,147,149,151,153,152,152,151,150,150,151,149,143,141,140,139,140,141,140,139,138,138,139,141,141,139,138,139,139,139,139,140,140,138,138,138,137,134,135,139,143,143,139,136,135,136,137,138,141,144,147,146,144,141,138,138,138,137,136,138,144,147,146,144,141,139,137,137,138,139,137,136,136,137,137,137,137,137,138,138,138,138,138,139,138,139,142,145,146,146,147,149,148,146,144,144,145,145,144,142,143,146,144,140,137,139,141,140,139,140,141,142,142,140,137,135,135,135,134,134,133,133,134,136,138,140,141,143,145,145,144,141,143,149,null],[145,147,148,145,143,141,143,145,142,141,142,143,139,137,139,143,142,142,141,139,138,143,146,145,145,146,145,145,146,146,147,147,147,147,146,142,137,135,138,141,141,135,127,124,129,136,140,143,144,144,140,135,131,131,134,136,138,138,137,136,138,139,139,140,138,135,132,131,131,130,128,128,128,130,130,128,124,118,115,117,122,125,125,124,123,122,123,124,124,123,124,125,124,122,121,120,120,121,123,124,124,123,122,122,122,120,118,119,120,120,119,120,122,122,122,122,122,122,122,123,124,126,128,127,125,124,126,127,126,123,120,118,117,118,120,121,120,120,123,124,125,127,127,126,126,126,126,125,124,124,126,127,129,128,128,126,126,127,127,127,127,129,131,132,133,135,134,131,129,129,130,130,130,130,130,131,131,131,133,135,137,136,135,134,134,134,133,132,132,132,134,137,137,136,136,137,138,139,139,139,138,138,138,139,140,141,141,141,141,141,142,142,144,145,145,143,142,142,142,140,140,139,138,137,136,137,138,139,141,141,141,142,144,143,143,144,145,147,149,149,148,147,147,146,144,142,141,141,141,139,138,140,141,139,138,140,142,141,139,139,142,145,146,145,146,147,147,145,141,139,139,140,141,141,141,144,146,147,148,148,147,148,150,150,151,151,151,150,149,148,149,150,152,152,154,155,155,153,154,154,153,153,154,154,152,151,152,154,156,157,156,155,156,157,153,149,149,151,155,159,159,156,156,156,156,157,159,159,158,158,158,159,161,161,160,159,160,161,161,159,159,160,161,159,159,161,163,165,165,165,165,164,163,164,164,165,166,166,163,160,159,159,158,157,158,159,156,154,152,151,148,146,149,154,157,157,153,146,144,147,150,152,153,152,153,151,150,150,148,146,146,144,141,141,142,142,141,140,140,141,142,142,140,139,138,138,137,137,138,139,138,137,137,136,134,135,139,142,142,138,135,137,140,142,142,143,145,148,147,144,140,139,139,139,137,137,138,142,145,145,145,142,139,136,136,136,136,135,136,137,136,136,137,137,135,135,138,141,141,139,137,136,139,144,145,145,144,146,148,148,147,145,144,145,143,141,140,143,147,147,144,142,141,140,138,138,140,139,139,139,138,136,135,135,134,134,135,134,133,133,135,139,143,145,145,144,142,141,142,145,148,null],[144,146,145,142,140,140,143,145,144,141,140,140,140,137,139,142,143,142,140,137,138,143,144,142,142,145,146,146,146,146,146,145,142,143,146,147,142,139,140,144,145,141,134,130,132,136,140,142,144,145,143,139,135,135,137,140,141,139,138,137,137,137,138,139,138,136,135,136,134,132,131,132,133,132,131,130,127,123,121,121,124,126,126,124,123,123,124,124,124,124,125,125,124,122,120,118,118,121,123,123,124,124,123,123,123,122,122,122,121,120,120,120,120,120,120,120,121,122,122,121,121,123,125,125,123,122,123,124,123,120,118,118,119,119,121,122,122,122,124,125,127,128,128,128,128,127,127,128,127,125,127,130,132,131,128,127,128,129,129,127,127,127,129,131,133,134,135,133,132,133,133,133,133,133,133,133,133,133,133,134,135,136,135,134,134,135,134,134,133,132,132,134,136,137,137,137,137,138,137,137,138,139,141,142,142,141,142,143,145,145,145,144,143,145,146,144,143,142,141,140,141,141,139,137,136,136,137,138,138,139,140,142,144,145,145,145,146,148,149,148,148,148,149,147,145,142,141,142,142,139,137,139,141,140,139,139,140,141,140,140,141,142,144,146,148,149,150,149,146,144,143,142,141,141,141,143,146,148,149,149,149,151,152,152,150,149,148,148,148,149,150,150,150,150,153,156,155,152,153,154,156,156,155,153,152,152,152,153,155,155,155,156,157,156,153,150,149,150,154,157,157,156,156,157,157,157,158,158,159,159,159,159,160,160,160,160,161,160,159,159,159,160,159,156,156,159,162,164,164,163,163,161,160,162,164,165,165,163,160,158,159,160,159,156,155,156,155,155,154,151,148,146,149,152,153,154,153,147,143,145,148,150,151,152,154,151,149,147,147,149,150,148,142,140,142,144,144,142,142,142,141,140,140,139,139,140,140,139,138,139,138,137,136,136,135,136,139,141,140,137,137,139,142,144,145,144,144,146,148,145,141,139,139,139,137,136,137,140,143,144,143,141,139,139,139,138,136,135,137,137,136,135,137,135,134,134,139,143,143,139,135,135,139,144,145,143,142,143,145,147,147,146,145,145,141,138,140,143,145,145,145,145,144,140,136,136,137,138,136,136,136,136,135,135,135,136,136,135,135,136,138,142,146,147,145,142,140,142,145,148,148,null],[144,145,142,139,138,140,141,143,144,141,137,138,139,139,141,143,143,140,138,135,137,142,143,141,142,144,146,147,147,147,146,144,140,140,145,147,145,142,142,143,143,141,139,138,137,137,139,140,142,143,144,143,141,140,140,143,142,138,138,138,136,135,136,136,135,134,136,138,137,134,134,135,135,133,131,130,128,126,124,124,125,127,126,124,123,123,124,124,125,126,126,125,124,122,119,116,116,120,123,122,123,123,124,124,123,124,124,124,121,120,122,122,120,119,119,119,120,122,122,121,119,120,123,123,122,121,120,121,121,120,120,121,122,122,123,124,125,125,126,127,128,128,130,131,131,130,130,131,131,127,127,130,132,132,131,129,129,131,131,130,129,128,128,129,131,132,133,133,134,135,135,135,135,134,135,136,136,135,133,133,134,136,136,134,134,134,133,133,132,132,131,131,133,136,136,135,135,134,134,135,137,140,142,142,141,140,142,144,146,147,146,145,144,145,146,145,143,142,140,140,141,142,140,138,137,137,138,138,136,137,141,144,145,147,146,146,147,149,148,147,147,149,149,147,145,142,142,143,144,142,140,140,142,141,138,137,139,141,142,142,141,142,144,146,148,149,149,149,151,151,148,145,143,142,142,142,144,147,148,148,149,152,153,151,148,147,148,148,149,150,151,151,150,150,152,155,154,152,152,155,158,158,155,152,153,153,152,152,153,154,154,155,155,155,153,151,151,150,150,153,154,155,157,160,160,158,156,156,157,159,161,160,159,158,159,160,160,159,158,158,159,160,158,154,154,157,160,161,162,161,160,157,157,161,163,163,162,159,157,156,157,159,158,155,152,151,152,154,154,151,148,147,148,150,149,150,152,148,144,144,147,149,150,151,152,150,148,147,147,149,152,149,143,142,144,146,147,145,143,141,139,139,139,139,140,141,143,142,141,140,139,138,136,135,135,136,138,138,138,137,139,140,143,145,145,143,141,144,147,146,142,139,139,139,137,135,135,138,140,142,140,138,140,143,144,142,139,138,139,139,137,136,135,133,133,134,138,141,142,139,134,134,138,143,144,143,140,139,142,145,146,146,146,145,140,138,139,141,142,142,143,144,143,140,137,135,135,136,135,135,136,136,134,134,135,136,135,135,136,138,142,145,146,147,145,141,139,142,146,148,146,null],[143,144,141,138,137,138,140,142,143,140,136,137,140,141,141,140,139,137,136,135,137,140,140,141,143,146,147,147,146,145,144,144,142,141,145,146,144,143,142,142,142,140,139,139,140,140,139,140,142,145,146,146,144,143,144,145,142,138,137,136,132,132,133,134,133,133,135,136,135,134,133,135,135,132,130,129,126,125,125,126,127,128,127,125,123,123,124,126,127,127,126,126,126,124,121,116,115,119,123,123,122,122,123,123,123,124,125,123,120,119,124,125,122,121,121,121,122,123,123,123,121,120,122,123,123,122,121,122,123,123,123,123,123,124,124,125,125,126,126,127,128,128,131,133,133,132,132,133,132,129,127,127,130,133,134,133,131,130,131,132,132,130,128,127,127,129,131,132,133,134,134,134,135,135,136,137,138,136,135,135,136,138,138,136,134,134,132,131,131,132,132,131,132,134,134,133,132,132,132,134,136,138,140,140,139,139,141,142,143,143,143,144,145,146,146,145,144,144,142,140,141,142,141,140,139,139,139,139,138,139,141,143,145,146,146,146,146,148,148,146,146,147,147,146,143,142,142,143,145,145,144,144,144,142,139,138,140,143,143,143,143,143,142,144,146,148,148,148,151,153,151,147,145,144,142,142,143,145,145,146,149,150,149,148,147,148,149,150,150,150,151,151,152,153,153,152,152,152,154,157,160,160,156,153,153,154,153,153,153,154,154,154,155,157,156,155,154,151,150,153,154,154,156,159,160,159,156,153,153,157,160,159,157,158,159,158,158,158,158,158,158,158,157,155,155,157,158,159,159,158,157,156,157,160,162,161,159,156,156,155,155,155,155,153,150,148,148,151,153,152,150,149,148,148,146,148,151,149,145,143,147,152,152,150,149,148,148,148,147,148,150,149,146,146,149,150,149,146,142,139,138,139,141,141,141,142,143,144,143,140,138,137,136,134,134,136,135,134,135,135,138,141,144,144,143,140,140,143,145,145,143,140,140,140,138,137,135,135,136,137,136,138,142,146,146,143,140,140,141,141,138,135,133,132,132,134,136,138,139,138,136,135,137,141,144,143,138,138,141,143,143,144,145,145,142,139,138,139,141,141,141,140,139,138,138,138,136,135,135,136,136,135,134,134,134,134,133,134,137,140,143,145,144,145,145,142,139,140,142,143,142,null],[141,143,142,137,135,137,141,143,143,139,137,137,139,139,138,137,137,137,136,137,139,140,140,142,146,148,147,146,144,142,143,145,144,142,144,145,144,143,143,144,143,140,137,138,141,140,140,140,142,144,146,146,144,144,144,144,141,136,134,132,129,129,131,132,132,131,132,132,131,131,130,131,132,131,130,128,124,124,127,129,128,127,126,125,124,124,125,128,129,129,127,126,126,126,123,118,116,120,124,123,122,122,123,123,123,124,125,122,120,121,126,127,124,123,123,123,123,123,123,124,125,123,122,122,123,124,124,124,125,126,126,125,123,124,125,125,125,125,125,126,128,129,132,134,134,133,133,133,133,132,129,127,129,134,138,137,133,130,130,133,134,133,130,127,126,127,129,130,132,134,134,134,134,135,136,137,136,136,136,137,139,141,140,137,135,134,134,132,131,132,133,132,131,132,132,131,131,132,133,134,135,136,137,138,138,139,141,141,140,139,139,142,144,145,145,144,144,145,143,141,140,142,143,143,142,141,140,140,141,143,143,144,145,147,147,146,146,147,147,147,146,146,145,145,145,145,144,144,145,146,146,145,144,142,140,140,142,143,143,143,145,145,143,143,145,148,148,147,148,151,151,149,146,144,142,143,143,144,144,146,148,147,145,146,147,148,149,150,149,150,151,152,152,153,153,152,151,152,154,156,158,159,157,154,154,154,155,155,155,154,154,155,157,158,157,157,155,152,152,156,157,154,155,156,158,158,154,151,151,156,158,157,156,158,158,156,156,156,156,155,155,157,158,159,158,157,157,157,156,156,156,157,159,160,161,160,159,158,158,156,154,153,153,153,152,149,147,150,153,154,153,151,150,148,146,147,149,147,144,144,147,152,153,151,148,147,149,149,148,146,148,149,148,150,152,152,150,146,142,139,138,140,143,144,143,142,143,144,143,141,140,140,137,134,136,137,135,132,132,134,139,142,143,142,141,140,139,140,142,143,143,141,140,140,139,138,136,132,130,132,136,140,144,146,145,142,140,140,141,141,140,138,136,134,133,133,135,135,136,137,138,137,137,140,142,140,138,137,140,140,140,143,147,147,144,140,137,137,139,140,139,138,137,138,139,139,138,136,135,136,136,135,134,134,132,132,132,134,138,141,143,143,142,144,145,144,140,138,138,139,140,null],[139,142,141,136,133,135,140,143,143,140,138,138,137,136,135,137,140,141,139,139,142,143,143,143,146,147,146,144,142,141,143,145,143,141,142,144,145,144,144,145,143,140,138,138,140,139,139,140,142,142,143,143,142,142,141,141,138,134,131,130,128,128,130,130,130,128,129,130,129,129,129,129,129,129,129,127,124,124,129,130,129,126,125,126,125,125,126,129,130,130,127,125,125,126,125,121,119,123,126,123,122,123,123,123,124,125,125,124,124,126,127,127,125,124,124,123,123,122,123,125,126,125,122,121,122,124,125,126,126,127,127,127,125,124,124,124,125,126,126,126,128,132,133,133,133,133,133,133,133,135,135,132,131,133,138,139,135,131,130,133,136,135,133,130,128,129,129,130,132,134,135,134,134,135,136,135,134,133,136,138,140,141,140,137,134,135,137,136,132,133,134,133,132,132,132,132,132,133,134,134,134,134,135,137,138,139,141,142,140,138,138,140,142,143,143,143,143,143,143,141,141,142,144,145,143,141,140,142,143,144,145,145,146,148,149,148,147,147,148,148,146,145,145,147,149,149,147,145,145,145,144,142,142,142,141,141,142,143,143,144,146,147,146,144,145,149,150,149,148,149,150,149,145,142,143,144,144,143,143,145,146,146,146,147,148,147,146,147,147,150,152,152,151,151,153,154,152,152,152,153,155,157,156,154,154,155,157,157,156,155,155,157,159,159,156,156,156,154,155,158,159,157,154,154,156,156,153,150,151,155,156,155,156,157,157,155,155,155,153,151,153,156,159,161,160,157,156,155,155,155,156,158,159,158,158,159,161,161,160,158,155,155,155,155,155,153,151,150,152,155,155,152,151,150,147,146,147,145,144,145,148,150,151,150,149,148,148,150,148,146,146,147,149,152,152,150,148,146,144,141,140,141,144,146,145,142,142,143,143,144,144,143,139,136,139,140,137,132,130,135,140,141,140,141,141,141,138,137,138,141,143,141,139,138,138,137,135,131,129,132,139,143,145,144,143,141,139,138,138,140,141,141,138,136,135,134,134,134,134,136,137,136,136,139,139,137,136,137,139,138,140,146,149,148,144,140,139,139,138,138,138,138,138,138,139,139,138,137,136,135,135,135,135,133,132,133,134,137,139,141,141,142,143,145,146,145,141,137,138,139,140,null],[137,140,140,137,134,133,136,139,141,141,139,136,135,136,138,140,145,146,142,141,143,145,145,143,144,144,142,141,141,142,144,144,143,141,142,143,144,144,144,144,142,140,140,141,139,138,139,140,141,141,141,140,140,140,140,140,138,135,131,129,130,130,131,130,128,128,130,131,129,129,129,130,129,128,128,127,124,125,129,130,129,128,126,125,125,126,128,129,129,129,127,125,126,127,127,125,124,126,126,123,123,123,123,123,125,126,126,127,128,129,129,128,125,124,124,124,124,125,125,126,127,126,124,122,122,123,126,126,124,124,126,126,126,124,124,125,126,127,127,126,128,133,135,134,132,131,132,131,132,135,138,136,132,131,135,138,137,133,132,134,137,137,135,133,131,131,131,130,131,133,134,134,134,135,135,134,132,132,134,137,138,138,137,136,134,134,137,137,135,135,136,137,135,134,134,135,135,135,134,134,133,133,133,135,137,139,140,140,139,137,138,140,141,141,142,142,142,142,142,143,142,143,145,145,143,141,142,143,142,142,144,146,147,149,150,151,150,150,151,150,148,146,147,149,151,150,147,145,145,143,141,138,138,140,140,141,140,141,143,145,147,148,147,145,145,148,151,152,151,150,150,148,144,143,145,146,145,143,142,143,145,147,149,150,150,149,147,146,147,149,150,151,151,152,155,156,155,154,154,154,155,156,155,155,154,156,157,157,156,154,156,159,161,159,157,157,158,156,156,157,160,159,156,156,157,156,152,150,150,152,153,153,155,155,154,154,155,154,151,151,154,157,159,160,159,157,155,155,154,154,155,157,158,156,156,159,161,161,158,156,156,157,157,157,157,157,153,149,149,153,155,153,152,150,149,148,147,144,144,146,147,148,148,147,146,146,148,150,148,145,145,147,148,151,151,149,147,146,144,143,143,143,145,146,145,141,141,142,144,145,146,143,141,140,142,142,138,134,133,136,138,138,139,140,141,140,136,135,137,140,141,139,138,138,137,136,133,131,131,136,140,142,143,142,141,139,136,135,138,140,140,139,138,137,136,134,133,134,135,136,135,134,135,138,137,134,134,137,142,143,145,148,149,149,145,142,142,142,140,137,137,139,139,138,139,139,139,139,137,135,134,135,135,133,133,134,137,139,140,139,140,143,146,147,146,143,140,138,138,139,138,null],[134,138,140,140,136,133,132,133,137,138,137,135,135,138,140,142,145,146,143,142,144,146,145,143,142,140,138,138,141,145,145,142,140,141,143,142,141,142,142,142,140,140,143,144,141,140,140,141,141,140,139,139,138,139,139,139,138,136,133,129,130,133,135,133,131,132,133,133,131,130,131,132,130,129,128,128,127,127,128,129,131,131,128,126,127,129,130,130,128,127,126,126,126,127,127,127,128,127,125,123,124,124,122,122,125,126,126,127,129,131,130,128,127,126,126,125,126,128,128,128,129,128,127,126,125,125,126,126,123,122,123,125,126,125,125,126,126,127,127,127,128,131,134,133,131,129,130,131,132,134,136,137,135,133,134,137,138,134,133,136,137,137,136,134,132,133,132,131,131,133,133,133,133,134,135,134,132,132,134,136,138,136,136,137,136,135,136,138,138,138,139,139,137,135,135,137,138,137,136,134,133,133,134,135,136,137,138,137,137,137,139,140,139,140,141,143,143,143,144,145,145,145,145,145,143,142,143,144,143,143,144,147,148,148,150,153,154,153,152,151,148,147,148,151,151,148,146,145,145,143,140,137,137,138,140,140,139,138,140,144,147,148,147,146,146,147,150,154,155,153,150,147,143,144,147,147,145,143,142,143,145,148,151,151,150,150,149,148,149,149,149,151,152,153,155,157,156,156,156,157,157,157,156,156,156,157,156,155,153,154,157,159,160,158,157,158,159,158,156,156,158,159,157,157,157,155,152,150,149,149,151,154,155,153,151,153,153,152,150,152,155,157,158,158,157,156,155,154,153,153,153,155,156,155,156,160,161,158,154,154,156,157,157,155,156,156,152,147,146,149,152,151,150,149,150,151,149,145,143,145,146,146,145,144,144,146,148,150,146,142,144,147,148,149,148,147,146,145,144,145,147,147,146,144,142,139,140,141,143,144,144,142,141,142,144,142,138,135,136,135,135,136,138,140,138,136,135,137,139,140,139,137,138,140,140,136,132,130,133,139,141,140,140,140,139,136,134,134,137,139,138,137,136,136,137,134,132,134,137,135,132,132,135,138,137,134,134,138,144,148,149,147,146,148,146,144,144,145,142,139,138,138,138,136,137,139,141,141,139,136,135,135,135,134,134,135,138,140,139,138,139,144,147,147,144,140,138,138,138,138,137,null],[131,135,140,141,138,134,131,131,134,134,134,135,137,138,139,139,141,142,141,142,145,146,145,143,140,137,136,138,142,146,143,138,137,140,142,141,139,139,140,139,140,142,144,145,144,143,143,144,143,140,138,138,138,137,136,135,135,133,132,130,130,134,138,138,137,136,135,133,132,133,133,133,131,130,129,130,131,130,127,128,131,133,130,128,130,132,132,131,129,128,127,126,125,123,123,126,130,128,124,123,124,125,123,122,123,124,125,126,128,130,129,129,128,128,128,127,128,129,129,129,131,131,131,130,129,128,127,126,124,122,122,124,126,125,126,126,126,126,127,127,127,129,131,130,129,129,131,132,132,133,135,137,139,138,138,139,139,136,135,137,137,137,136,135,134,133,133,133,133,134,134,134,133,134,135,135,134,134,135,138,139,138,137,139,139,137,137,139,141,140,140,140,138,135,136,138,140,140,138,136,135,135,136,137,135,135,135,136,136,137,139,138,137,138,142,145,145,145,146,147,147,147,146,145,144,143,143,144,144,145,145,147,148,148,150,155,156,154,153,150,148,147,148,149,148,145,145,146,145,142,140,139,139,140,141,141,138,136,137,141,146,147,147,147,148,148,150,153,154,153,151,147,143,144,147,147,146,144,144,145,146,147,149,150,149,148,150,151,151,150,150,152,152,152,152,154,155,156,157,158,157,157,157,157,157,157,155,152,150,153,156,157,155,155,156,156,155,157,157,156,157,158,156,153,153,151,149,149,148,149,152,155,154,151,150,153,153,151,151,151,153,155,158,157,155,153,153,152,152,152,153,154,155,156,158,161,161,158,154,154,155,156,153,150,152,153,151,147,143,146,147,146,146,149,152,153,150,146,143,144,144,144,143,142,144,147,149,149,144,140,143,146,147,146,145,145,145,145,145,147,150,150,146,142,139,138,139,140,141,142,142,141,141,142,142,141,138,136,136,135,135,137,139,138,134,133,135,139,140,140,137,136,139,141,142,139,134,129,132,140,142,139,138,138,137,136,134,133,133,135,137,136,136,137,138,135,133,134,134,132,130,131,136,137,136,135,136,139,142,146,147,144,143,146,146,145,144,145,145,142,140,140,138,135,135,139,141,141,139,138,136,135,135,135,135,136,138,139,138,137,138,142,145,146,143,138,136,138,138,137,138,null],[131,132,136,138,137,134,132,132,135,135,132,135,138,139,139,137,138,139,141,143,144,144,143,142,139,136,137,141,145,145,140,136,138,141,141,139,136,137,138,138,140,143,144,144,145,144,144,144,141,138,136,136,137,135,133,133,132,131,131,131,131,132,136,138,140,139,136,134,134,134,134,133,131,129,129,130,133,133,129,128,131,133,132,131,131,132,131,131,130,130,130,128,121,117,121,128,132,130,127,125,125,125,124,122,122,123,124,124,126,129,129,129,129,129,129,130,130,129,129,130,131,132,132,132,130,128,128,127,125,124,123,124,125,126,126,126,125,126,127,126,126,127,127,127,127,129,132,133,133,133,134,137,141,143,143,143,141,138,137,136,136,136,136,135,134,133,133,133,134,134,135,134,133,134,135,136,135,135,136,139,141,140,139,141,142,141,140,141,142,141,140,139,137,136,137,140,141,140,138,136,136,136,138,139,136,134,135,135,135,137,138,137,137,138,142,145,145,144,145,147,148,148,147,146,145,144,144,145,146,146,146,146,146,147,150,154,155,153,152,150,148,147,147,146,145,144,145,145,144,141,140,141,142,143,143,142,140,137,136,139,142,144,146,149,150,150,150,152,154,153,151,148,144,145,147,147,147,146,146,145,145,145,145,146,148,150,152,152,151,151,152,151,150,150,151,153,155,156,157,156,155,156,158,157,156,155,154,151,148,152,154,152,151,152,154,154,152,154,156,156,155,154,152,150,148,148,148,147,147,149,152,152,151,150,152,155,156,155,153,152,152,155,157,156,153,151,151,150,151,152,154,154,154,156,157,159,161,159,155,153,154,156,153,149,148,149,149,147,145,146,145,144,144,148,153,153,150,146,144,144,144,145,145,145,145,146,148,147,144,141,143,144,143,143,145,146,147,146,146,147,148,146,144,141,139,137,138,138,139,139,139,139,139,139,138,138,137,135,135,135,136,138,137,135,132,132,136,140,140,138,136,136,139,141,140,139,136,129,131,139,142,140,139,138,136,136,134,132,131,133,136,137,137,138,138,136,135,133,131,129,130,132,134,135,136,137,137,138,140,144,145,143,142,143,144,143,142,144,147,144,141,140,137,134,135,138,141,140,139,139,138,136,135,135,135,137,139,138,135,136,138,141,142,143,142,137,135,137,137,137,139,null],[134,131,132,134,134,132,132,135,140,139,135,136,139,142,142,140,139,141,143,144,143,141,140,140,139,138,139,144,146,143,139,138,141,142,140,137,135,137,138,138,140,143,143,144,144,144,143,142,139,136,135,135,135,133,132,132,132,132,133,133,131,130,132,136,139,140,139,137,135,133,132,132,131,128,128,130,132,133,132,130,132,133,133,131,131,130,130,131,131,132,132,130,119,116,125,133,134,132,129,127,126,124,124,123,123,124,125,125,126,129,129,129,129,129,130,131,130,129,129,129,131,131,131,130,128,126,127,129,128,126,125,124,125,125,126,126,125,126,127,127,126,126,127,127,127,129,132,132,132,133,135,137,140,142,143,142,141,138,135,134,134,135,135,134,134,135,134,133,133,133,134,134,133,134,135,135,135,137,138,139,141,141,141,142,143,143,142,142,143,141,139,137,137,138,139,140,140,138,136,135,135,136,138,139,137,136,136,136,135,136,137,138,138,139,141,143,143,142,143,146,146,146,147,146,145,146,146,146,146,146,145,145,144,145,149,151,151,151,151,151,150,149,147,145,144,144,145,144,142,140,140,143,145,145,144,144,143,140,138,139,140,142,146,150,152,151,150,151,153,153,152,149,146,145,147,147,147,147,145,144,144,144,143,143,147,152,152,149,148,149,151,151,149,149,151,153,156,158,156,154,153,155,157,156,152,151,154,153,149,150,151,150,150,152,153,152,150,151,153,153,153,151,150,148,147,148,148,147,147,148,149,148,147,150,154,156,158,158,156,154,155,157,157,154,152,150,149,149,149,152,154,153,151,153,154,156,158,157,155,153,154,156,154,150,147,147,147,148,149,149,147,146,147,149,151,151,148,146,146,147,147,148,148,148,147,146,145,146,145,144,143,141,140,142,146,148,148,148,147,146,143,141,141,140,140,139,138,136,137,137,137,137,137,137,136,135,135,135,135,134,135,137,136,133,131,133,136,139,138,136,135,135,137,138,137,137,136,130,130,135,139,141,141,139,137,136,134,132,131,133,136,138,138,137,136,137,135,132,129,129,133,134,133,134,136,138,138,138,141,144,145,144,143,142,142,141,142,145,146,145,142,140,138,136,136,138,139,138,137,137,137,137,136,134,135,138,141,137,134,134,139,142,142,140,139,137,136,137,137,137,138,null],[137,134,132,132,132,133,134,137,142,142,140,138,140,144,145,144,142,142,143,143,142,139,137,137,139,141,142,144,146,142,138,138,140,140,137,136,137,138,139,138,140,142,144,145,145,144,143,141,139,137,137,136,135,133,134,134,136,137,137,135,132,130,130,134,138,140,140,137,134,130,130,132,132,127,126,129,131,131,131,133,135,134,132,130,130,129,128,130,132,133,133,131,124,121,128,134,133,130,128,128,127,126,125,123,123,124,125,125,126,129,131,131,130,130,130,130,130,129,129,130,131,131,129,128,126,125,127,130,131,130,127,125,124,124,125,125,127,127,128,128,128,128,129,130,129,129,130,131,132,134,136,137,137,137,137,136,134,132,130,130,132,134,134,134,135,137,136,134,132,132,133,132,133,135,136,135,136,139,140,139,139,142,144,144,143,143,143,144,144,142,140,138,139,141,141,140,138,135,133,134,135,136,138,139,138,137,138,138,137,136,136,137,138,140,142,142,142,142,144,145,145,144,143,143,144,145,145,144,145,146,146,144,144,145,148,149,149,150,151,153,153,152,151,148,145,144,144,143,143,143,144,145,146,145,145,145,144,142,141,141,142,144,146,148,151,150,149,149,151,151,151,150,147,145,145,146,147,147,145,144,144,145,144,144,146,149,149,146,146,148,151,151,150,151,151,153,157,158,156,153,152,154,156,155,150,150,154,154,149,146,146,149,151,153,153,150,149,150,151,151,151,151,149,147,147,149,151,151,149,148,148,147,147,150,154,155,156,158,158,157,158,159,158,155,152,150,149,148,149,150,151,150,150,150,150,152,154,155,155,154,154,155,154,150,148,148,149,151,153,152,150,149,150,151,150,148,146,147,149,150,150,150,149,149,148,147,145,145,146,146,144,140,140,143,147,148,149,149,148,146,143,142,141,141,141,141,140,138,136,135,135,135,137,137,136,134,133,134,134,132,132,135,136,134,131,133,136,137,137,136,135,133,134,136,136,136,135,130,128,130,135,138,137,137,137,137,136,134,133,133,134,135,136,136,135,136,134,131,129,131,136,137,136,137,138,139,140,142,142,143,144,145,144,143,141,140,143,145,143,143,142,142,141,139,138,137,136,135,134,134,135,135,135,134,134,137,140,137,134,134,139,143,143,139,137,136,136,136,136,136,137,null],[138,136,133,131,132,135,137,138,140,141,142,140,142,145,147,145,143,141,141,142,141,138,135,135,137,140,141,142,143,141,138,137,137,137,135,136,139,141,141,140,141,143,144,145,145,145,144,142,140,140,140,138,135,135,136,138,140,141,140,138,135,134,134,136,139,140,139,136,132,128,128,131,132,128,127,129,130,130,130,134,137,135,132,131,131,131,129,130,132,133,133,133,130,130,133,133,131,129,128,129,130,128,124,123,123,123,124,125,127,130,132,132,131,131,129,128,129,131,131,131,132,131,129,128,127,126,128,130,132,131,129,126,125,124,125,126,128,130,130,130,130,131,133,133,131,130,129,130,132,134,135,133,132,131,130,129,127,126,127,129,131,132,133,133,134,137,137,136,134,133,133,133,134,136,136,135,136,139,140,140,140,143,145,144,142,142,143,145,145,144,142,139,140,142,141,138,136,134,133,134,135,136,138,140,140,139,139,140,139,137,136,137,138,141,143,143,143,144,146,146,143,141,141,142,144,145,144,143,145,146,146,145,146,148,150,150,150,151,153,155,157,156,153,149,146,145,144,145,146,147,147,146,145,145,145,145,144,142,140,141,143,145,145,146,147,147,147,148,149,150,151,151,149,147,146,147,148,146,144,144,146,147,146,146,146,147,147,146,147,148,150,152,152,152,153,155,157,157,154,152,152,155,157,155,151,148,150,151,148,144,144,148,153,154,152,149,149,150,149,146,147,149,147,146,148,151,154,154,152,150,150,150,151,152,153,153,154,157,158,159,159,160,159,157,155,152,151,151,151,149,148,148,148,147,145,145,148,151,153,153,154,156,154,151,150,151,152,154,155,153,152,151,152,151,149,147,148,149,151,153,153,150,149,149,150,150,148,147,147,147,145,142,141,145,147,147,148,150,149,147,146,145,144,142,141,140,140,138,137,135,136,138,140,141,138,135,134,134,133,131,130,132,136,137,133,131,133,134,135,137,136,132,132,133,134,134,133,130,127,128,130,131,131,131,134,135,135,133,133,132,130,132,135,136,135,133,132,131,131,133,137,140,140,140,140,140,143,144,142,140,141,143,144,144,141,141,144,144,141,141,142,143,142,141,140,138,135,134,133,133,133,134,135,135,134,136,138,138,135,134,139,143,142,138,135,134,135,136,135,135,136,null],[137,136,133,131,133,136,138,136,134,136,139,141,142,146,146,143,140,138,139,140,140,137,135,135,135,136,138,139,139,137,136,136,135,135,136,138,139,141,142,142,143,144,144,143,142,143,143,141,141,142,142,139,135,135,137,139,141,141,140,139,139,140,141,141,140,138,136,134,130,128,129,130,131,130,130,129,130,130,130,133,136,135,134,134,134,134,132,131,132,134,134,133,133,136,136,135,132,130,130,131,131,128,124,122,122,123,123,124,128,132,132,132,132,131,129,128,129,132,132,133,133,132,131,130,129,128,128,129,132,132,130,128,127,126,126,128,130,131,131,131,132,132,134,134,132,129,128,129,131,133,132,129,128,128,128,128,127,127,128,131,132,133,132,132,133,135,137,137,136,136,135,135,135,136,136,136,136,137,139,141,142,144,144,143,142,143,144,145,146,146,144,141,140,142,141,138,134,134,135,136,137,137,139,141,141,140,139,141,141,138,137,137,140,142,144,144,144,145,146,145,141,139,141,143,144,145,144,143,145,146,145,145,148,151,153,153,152,152,154,159,161,158,152,148,147,147,147,147,147,147,147,145,144,144,143,144,144,141,139,139,141,142,143,144,145,145,146,148,149,149,151,151,150,149,150,149,148,145,144,145,148,148,147,147,148,148,148,148,149,150,151,152,153,153,154,156,157,155,154,153,155,157,159,157,152,147,144,144,145,145,146,148,152,152,149,148,149,149,145,142,143,145,144,145,149,152,152,152,152,152,152,152,153,154,153,151,155,160,160,158,158,158,158,159,158,156,155,155,153,150,147,148,148,147,141,139,144,148,150,151,154,157,156,154,152,152,153,155,156,153,152,152,152,150,149,150,153,152,152,153,153,151,150,150,151,152,151,150,149,148,146,144,143,145,147,148,148,149,149,149,148,146,144,142,140,139,138,137,137,138,139,141,143,144,141,139,137,136,135,133,131,131,135,138,134,130,131,130,133,137,137,134,132,131,132,132,131,129,128,128,127,126,126,127,128,130,130,128,129,129,126,129,136,138,134,131,130,132,132,134,138,141,141,140,139,139,143,143,139,137,138,141,143,143,142,141,141,141,140,141,142,142,141,141,142,140,136,134,134,132,132,134,135,136,134,136,137,137,135,135,139,141,140,137,135,134,134,136,136,136,138,null],[135,134,132,131,133,135,137,136,133,133,137,140,142,144,145,143,140,137,137,139,139,137,135,135,134,134,135,135,135,135,136,137,138,138,138,138,136,138,140,142,143,144,143,142,141,142,141,139,140,142,141,138,136,136,138,139,139,140,139,140,141,144,146,145,140,135,133,132,130,130,131,131,132,133,132,130,132,133,132,133,133,133,134,136,136,135,134,134,135,135,133,132,132,134,135,135,134,133,132,132,131,128,125,124,123,122,122,125,128,130,131,131,132,132,131,130,130,132,133,133,133,133,132,131,130,129,128,129,132,132,131,131,130,128,127,128,131,132,131,131,130,132,133,134,132,129,128,129,130,131,130,128,127,128,129,129,129,130,132,134,135,134,133,133,134,136,137,137,137,137,136,136,136,135,135,136,137,138,141,144,145,145,144,142,141,143,145,145,145,145,144,143,142,142,142,139,135,135,137,138,138,139,141,141,141,140,139,141,142,140,138,138,140,143,144,145,144,143,143,143,140,140,142,143,144,145,145,144,145,145,145,145,147,150,152,152,151,151,154,160,162,159,154,149,148,149,149,147,146,144,143,143,143,143,142,142,142,140,138,139,140,141,142,143,145,146,147,150,151,151,152,152,151,151,152,149,147,145,146,148,149,147,145,146,148,149,148,148,149,150,151,152,153,152,153,155,155,154,154,155,158,159,159,156,153,148,143,141,141,145,147,147,150,151,148,147,149,148,145,143,144,146,146,148,150,150,149,148,149,150,150,151,154,153,150,150,155,161,161,158,157,156,157,159,159,158,158,157,153,150,150,150,152,151,143,138,142,146,148,149,152,155,156,155,153,152,152,154,154,152,152,152,151,150,151,153,153,152,151,152,153,153,151,150,151,151,150,149,148,148,145,144,144,145,146,146,147,148,150,150,147,144,143,142,140,140,138,137,137,138,139,143,145,145,143,141,139,139,140,138,134,132,134,136,135,132,131,130,132,136,137,135,134,134,132,130,128,128,129,129,127,125,127,127,125,127,128,127,127,127,125,129,135,136,133,131,131,133,134,136,139,140,139,138,138,140,141,140,138,138,138,141,143,144,142,139,137,137,137,139,140,141,140,140,143,141,138,136,135,132,132,135,136,135,135,137,137,135,134,136,139,140,138,136,136,135,135,135,136,138,140,null],[134,131,130,132,133,134,136,137,137,136,137,139,141,142,143,144,142,139,137,138,138,136,134,134,135,135,134,134,134,135,137,139,140,141,140,138,135,136,138,140,141,142,142,141,140,140,139,136,137,139,139,137,136,137,139,138,138,139,140,141,143,145,146,144,139,134,131,131,132,133,132,133,134,135,132,130,133,137,137,134,132,132,135,137,137,136,135,136,137,135,133,132,131,131,133,134,134,134,134,133,131,128,126,125,125,124,123,125,126,127,129,130,131,133,134,133,132,132,133,133,133,133,133,131,130,129,129,130,132,133,132,132,132,130,128,128,130,131,129,129,130,131,133,134,132,131,130,130,130,129,130,131,131,130,130,131,132,132,135,137,137,135,134,135,137,138,138,138,137,137,136,136,137,136,136,138,139,141,144,146,146,146,145,143,143,144,145,145,144,143,143,144,143,142,141,139,137,137,137,138,139,141,142,141,140,140,140,142,143,142,140,140,141,143,144,144,142,140,140,140,141,142,142,141,141,143,145,144,143,144,146,146,145,147,149,151,150,150,153,157,160,159,155,151,149,149,148,146,144,141,140,140,141,141,141,141,141,140,139,140,142,143,143,144,146,148,149,151,152,152,152,152,152,153,151,148,146,147,149,150,149,145,143,145,148,149,149,147,147,148,149,151,152,151,150,151,152,152,154,156,157,158,156,153,152,150,145,141,140,144,146,146,148,149,147,147,148,147,146,146,148,150,150,150,150,148,147,147,147,147,148,149,151,150,149,151,156,159,159,158,156,155,156,159,159,159,159,158,154,152,152,153,155,154,148,142,142,145,148,149,150,152,154,154,152,151,150,151,152,152,151,151,151,151,152,153,152,151,149,150,152,153,152,150,150,150,148,146,146,146,143,143,144,145,144,145,147,148,150,150,146,144,144,143,143,142,141,139,139,138,137,142,145,145,144,142,140,140,143,140,136,134,133,134,134,134,134,134,133,134,135,135,136,136,133,130,128,129,131,132,130,130,131,130,127,128,129,129,129,129,129,131,132,131,130,130,131,132,135,138,141,140,137,136,138,139,138,137,139,141,141,143,145,145,143,140,138,136,136,136,137,140,141,141,142,142,140,139,137,133,133,135,134,134,135,137,137,133,133,137,139,139,136,135,136,135,134,135,137,140,141,null],[133,128,128,132,134,134,135,138,140,139,138,139,140,141,142,142,143,141,139,138,137,135,133,134,135,137,137,137,137,139,139,139,141,142,141,140,138,138,139,139,139,139,139,139,138,138,137,136,136,137,137,138,138,140,141,140,139,140,142,142,143,143,143,140,137,135,131,130,134,135,134,133,135,137,133,129,133,138,140,138,134,133,135,137,137,136,137,137,136,135,134,134,132,132,132,132,133,133,133,133,131,128,126,126,126,125,125,124,124,126,129,130,130,132,135,135,134,133,132,132,133,133,133,132,131,129,129,131,133,133,132,132,133,132,129,128,128,127,126,128,131,133,134,134,133,133,133,133,131,130,133,135,135,133,133,132,132,132,134,137,136,135,135,136,137,138,138,139,138,137,137,137,138,140,141,141,140,141,144,147,146,146,146,145,144,143,144,144,143,143,143,142,141,139,138,137,136,136,136,137,139,141,141,140,139,141,143,144,144,143,141,141,142,143,143,141,140,139,139,139,140,141,141,138,137,140,142,142,141,143,145,146,145,147,150,153,153,152,153,155,157,156,153,150,148,147,146,144,143,141,141,140,140,140,141,142,142,142,141,142,143,144,144,144,146,149,150,150,149,151,153,153,153,151,149,147,145,147,150,151,150,148,145,145,146,148,149,148,147,146,146,147,148,150,150,150,149,151,154,154,154,155,154,153,152,150,146,142,141,143,145,146,146,146,146,148,148,147,147,149,151,151,152,150,148,146,147,148,148,148,149,148,147,147,149,155,158,157,156,155,154,155,158,159,160,159,158,157,156,155,154,154,155,152,149,146,144,144,147,148,149,150,151,151,150,149,148,148,150,151,151,149,149,150,151,152,152,150,148,147,148,150,151,150,149,149,149,147,145,144,142,142,143,143,143,146,149,148,149,149,147,146,146,146,145,144,142,141,143,139,136,141,145,145,144,142,141,141,142,139,136,136,134,132,133,135,137,137,135,133,133,135,137,136,134,133,132,131,133,136,137,136,137,136,134,132,131,131,133,135,134,131,129,129,129,128,128,131,136,140,142,141,139,136,136,137,137,137,139,142,143,146,147,146,145,144,141,139,138,135,135,138,140,141,144,144,142,140,138,135,134,134,134,133,135,136,135,131,133,139,139,136,134,134,134,133,133,135,139,141,141,null],[131,128,129,133,135,134,135,139,141,141,139,141,142,141,140,140,141,141,139,136,134,134,136,136,137,139,141,141,141,142,142,141,140,140,140,142,144,143,140,137,136,138,138,138,138,139,139,139,138,139,139,140,140,141,142,141,140,140,142,142,141,140,140,139,137,135,131,131,135,137,135,134,136,138,135,132,133,138,141,139,136,135,137,137,137,137,137,136,135,135,137,137,135,132,130,130,130,130,131,132,130,127,127,127,126,126,125,124,125,128,129,130,130,132,134,134,133,132,132,133,134,133,133,133,132,130,131,133,133,133,133,132,133,133,132,129,127,125,126,128,131,132,134,134,133,133,135,135,133,133,135,138,138,136,134,132,132,132,133,135,134,133,134,135,134,135,136,138,139,139,138,138,140,142,142,141,140,142,145,145,145,145,145,144,142,141,142,142,141,142,142,141,138,137,135,135,135,135,135,136,138,140,141,141,141,142,145,145,144,143,141,141,141,141,141,140,139,139,139,140,140,141,141,139,138,140,141,140,140,141,143,144,145,148,152,155,156,154,155,156,156,154,151,149,147,146,145,143,142,142,142,141,140,142,144,145,145,143,142,142,143,144,145,145,145,147,148,146,146,150,154,154,152,149,147,145,145,148,150,152,153,152,149,147,146,147,149,150,150,148,146,145,146,149,150,150,150,151,153,152,151,151,152,151,151,149,146,143,142,143,144,145,144,144,145,146,146,146,147,149,150,150,149,147,145,146,148,150,150,150,151,150,147,147,149,154,155,154,154,154,155,157,160,160,159,158,156,155,155,155,155,156,154,150,149,148,145,144,146,147,147,148,149,149,149,148,148,147,147,150,150,148,146,147,149,151,151,149,147,146,146,147,147,148,148,149,150,148,145,143,142,143,143,142,144,148,150,149,149,149,148,148,148,148,147,145,143,143,145,142,139,142,146,144,143,140,140,141,140,137,134,134,133,133,132,134,138,138,136,132,133,137,136,135,136,137,137,135,136,140,142,141,139,139,139,136,133,134,136,138,136,132,130,128,128,126,127,130,136,140,140,141,141,137,134,134,136,138,139,140,142,144,146,145,144,143,142,141,140,136,134,136,139,141,144,144,143,142,140,138,135,134,133,134,134,134,133,130,133,138,138,134,133,133,134,133,134,138,141,142,141,null],[130,132,134,136,135,135,136,137,139,140,140,142,143,141,139,138,139,138,136,134,134,136,139,140,141,142,143,143,142,143,144,143,140,139,138,142,146,145,140,136,136,137,139,140,141,142,142,143,144,143,142,142,142,142,141,141,141,140,140,140,139,138,139,138,136,134,131,132,136,137,136,136,137,139,138,136,136,138,140,139,137,138,139,139,139,139,138,136,135,136,138,139,136,132,129,128,128,129,129,130,128,127,127,126,126,125,125,125,128,131,130,129,130,131,132,133,131,130,131,133,135,134,134,134,132,130,131,132,132,133,134,133,132,133,133,131,128,127,127,128,129,129,132,134,132,132,135,136,136,135,137,139,138,135,133,132,132,133,133,133,132,132,132,133,132,132,133,135,138,139,138,139,140,140,139,139,141,144,145,145,145,146,145,142,140,140,141,141,140,140,141,140,138,135,134,134,136,137,136,137,138,139,140,142,143,144,144,144,143,142,141,140,139,138,139,140,140,141,141,141,142,143,143,143,143,143,142,141,140,140,141,143,146,149,153,156,156,156,157,157,157,154,151,149,147,145,145,144,142,142,142,141,143,146,149,149,147,144,142,141,142,144,146,146,146,146,146,144,145,150,154,153,149,147,146,145,145,148,150,152,154,153,151,149,148,148,148,150,151,151,149,147,148,149,150,149,151,152,152,151,150,149,149,149,149,147,145,143,143,143,143,143,143,143,143,143,144,145,147,148,148,147,147,146,145,146,148,150,150,151,152,152,151,150,150,150,149,150,153,156,158,159,160,158,157,156,154,153,152,153,154,156,154,151,150,149,147,145,145,145,145,146,148,149,149,149,148,147,147,150,150,148,144,144,148,150,149,149,147,146,146,146,145,146,147,148,148,146,144,143,143,143,143,144,146,147,149,150,149,148,149,149,148,148,147,146,145,145,145,144,144,145,146,144,142,139,138,139,139,136,132,131,132,135,135,135,139,139,136,133,134,138,138,135,137,139,140,138,139,141,143,142,139,139,141,139,136,137,137,136,134,133,133,130,128,128,128,130,136,138,137,138,140,137,134,132,135,138,139,138,138,140,143,144,142,140,139,140,139,136,134,134,138,142,143,143,143,143,142,139,135,133,134,134,133,133,133,131,131,134,135,134,133,134,135,136,138,141,140,140,142,null],[133,136,139,139,137,135,134,135,138,140,140,140,140,139,138,137,138,137,135,133,135,139,141,143,144,144,143,141,140,143,144,142,139,138,139,142,143,144,141,139,138,138,139,141,143,143,143,145,146,145,144,144,144,144,143,142,140,138,139,139,138,136,136,137,135,133,132,133,136,136,134,135,136,137,138,138,139,140,139,139,139,138,139,141,141,140,139,138,138,136,136,137,137,134,131,129,129,128,128,129,128,126,125,124,124,124,124,127,130,132,132,130,129,130,131,131,130,129,131,133,134,135,135,133,131,130,131,131,131,132,135,134,132,131,131,131,131,130,129,128,127,128,130,133,132,133,136,137,137,138,137,137,136,134,132,132,134,134,133,132,133,134,133,133,133,132,132,133,135,136,136,136,137,137,137,139,142,144,145,145,146,146,145,142,141,143,143,142,140,138,139,141,140,137,134,135,138,138,136,136,137,137,139,141,143,143,143,142,141,141,140,138,136,137,139,141,143,144,143,143,145,145,145,146,147,145,143,142,141,141,141,144,148,151,153,154,154,154,154,155,154,153,150,148,146,146,147,145,142,141,142,143,145,148,150,149,147,144,142,142,143,145,148,149,148,147,146,146,147,149,151,151,148,146,147,146,146,147,148,150,152,151,151,151,151,149,147,147,149,150,150,151,152,151,150,149,151,151,151,152,151,148,147,147,146,144,142,143,143,142,141,142,144,145,145,146,146,147,147,147,146,146,148,149,148,148,147,148,150,151,152,153,154,155,155,150,147,148,153,157,159,160,159,157,155,153,153,154,153,152,152,152,153,153,151,150,149,149,148,145,144,146,147,147,148,149,148,147,148,150,151,149,145,143,146,147,147,148,147,147,148,149,147,146,147,146,145,144,144,143,144,144,145,146,147,147,148,149,148,148,149,148,146,146,147,147,147,147,147,148,148,145,143,142,140,138,137,138,135,133,131,132,135,138,139,139,140,139,136,133,135,139,139,136,136,139,141,140,140,142,144,142,138,136,138,140,138,138,137,135,134,133,134,132,130,129,128,129,134,137,136,135,137,137,136,133,134,136,138,137,137,138,140,141,141,140,139,139,137,136,135,135,138,142,142,142,143,142,140,137,134,133,134,133,132,133,135,134,131,130,132,133,135,137,139,140,141,140,137,137,141,null],[135,138,139,139,138,136,134,133,136,138,137,137,136,137,136,135,138,138,135,134,136,139,142,143,143,143,142,140,139,142,143,141,138,137,139,142,141,142,142,142,141,140,139,140,141,141,141,144,145,145,145,145,145,145,145,142,138,137,138,138,138,136,134,135,135,133,134,135,137,136,134,134,135,137,139,140,142,142,140,141,141,139,140,142,141,140,140,141,141,137,134,134,135,135,132,130,129,128,128,129,128,125,124,123,124,124,125,127,129,131,132,133,131,130,129,131,131,130,132,134,135,136,136,134,132,131,130,130,131,132,133,134,131,128,128,130,132,133,131,129,129,129,130,132,132,133,135,136,137,138,138,136,134,133,133,135,136,134,132,132,134,135,135,135,135,135,135,134,134,133,134,133,133,135,137,140,142,144,144,145,146,145,144,143,143,144,144,142,139,138,139,142,142,138,135,136,140,140,136,135,135,136,138,139,141,141,141,141,141,140,139,137,136,137,139,141,143,144,144,144,146,146,146,147,147,145,143,144,143,142,142,144,148,150,151,151,150,150,150,151,151,151,149,147,147,148,148,145,142,141,142,145,146,147,149,149,147,145,144,144,145,146,148,149,150,150,149,150,150,149,149,149,147,147,147,147,147,147,148,149,149,149,150,153,153,149,146,146,147,147,148,152,154,154,152,151,151,151,150,151,150,147,145,146,145,142,142,143,143,142,141,143,145,147,148,150,150,149,147,146,146,148,150,152,153,151,149,149,149,151,153,154,154,157,158,155,152,150,153,156,157,158,159,158,154,152,154,157,156,154,153,150,150,152,152,151,152,152,150,147,146,146,146,146,148,148,147,148,149,150,150,150,146,143,144,145,146,146,147,148,150,151,150,149,146,143,142,142,142,142,143,144,147,148,148,147,147,147,147,147,148,146,144,145,147,148,148,148,149,150,149,143,139,139,139,138,139,137,134,132,133,137,139,140,142,143,141,137,135,134,136,137,138,137,137,139,142,141,140,143,144,142,138,135,135,137,137,135,135,136,136,135,133,133,132,130,129,129,132,134,134,134,136,138,136,132,132,135,138,138,137,138,140,141,141,142,141,140,138,136,135,136,139,141,141,142,143,141,138,136,134,133,133,133,133,134,136,135,131,130,133,136,137,138,141,142,141,138,135,136,139,null],[134,135,136,137,137,137,136,134,135,135,134,135,135,134,134,135,138,138,135,133,135,137,140,140,139,139,140,140,139,141,143,142,139,137,137,141,142,142,142,143,143,142,141,139,139,139,140,142,143,143,143,143,143,144,144,140,138,137,137,137,138,137,136,136,135,134,134,135,136,136,136,136,137,141,142,142,144,143,141,141,142,142,142,141,139,139,141,144,143,138,132,130,131,132,131,129,129,129,130,130,129,125,124,123,123,124,126,128,128,129,132,135,134,132,129,130,131,132,134,135,137,137,136,135,134,132,130,131,132,132,132,133,131,127,126,128,132,134,134,132,132,132,131,130,131,131,131,132,134,137,138,137,134,134,135,137,137,135,132,131,132,133,135,136,138,138,138,137,135,134,134,133,132,135,139,142,142,142,143,144,143,142,140,141,141,142,141,140,140,141,142,143,142,138,135,137,141,141,137,135,135,136,137,138,138,139,140,140,140,139,137,136,137,139,140,140,141,142,144,145,145,145,145,145,146,145,144,144,143,142,142,143,145,146,148,148,147,147,148,150,151,151,149,148,148,149,148,146,143,141,142,146,147,147,148,149,148,146,146,147,147,146,146,148,150,151,152,153,152,150,149,148,148,148,148,147,147,149,150,150,149,148,151,154,154,149,147,148,149,147,145,149,153,154,154,154,154,154,151,149,147,145,145,145,144,144,144,144,144,144,144,144,146,148,149,150,150,149,147,147,148,150,152,153,155,155,154,152,150,150,154,155,154,155,158,159,157,154,154,154,154,156,160,159,156,154,155,158,159,158,156,152,150,149,150,152,153,153,151,149,147,145,145,146,148,148,147,147,148,149,149,148,146,143,143,144,144,145,146,148,149,150,151,150,146,143,142,142,141,141,141,143,147,148,148,147,146,145,146,148,147,143,141,144,147,147,147,149,151,151,147,142,139,138,138,139,141,139,135,134,136,140,141,141,143,143,140,136,135,137,138,136,136,138,141,142,142,140,139,141,142,142,140,136,133,133,133,133,133,135,138,136,133,132,132,131,130,130,131,131,132,134,137,138,134,129,130,135,139,137,135,138,141,141,142,141,142,142,141,138,135,136,138,140,139,141,143,142,139,136,134,133,133,134,133,134,135,133,131,132,138,141,139,138,139,141,141,138,138,139,139,null],[132,132,134,135,136,137,137,136,135,134,134,134,135,134,134,136,137,137,135,133,134,136,139,139,138,137,138,139,140,141,142,142,139,136,137,140,142,141,140,142,143,143,142,141,141,140,140,140,140,140,141,141,140,141,142,141,139,138,138,137,137,138,139,139,137,136,135,135,136,137,138,139,141,144,144,145,145,144,141,140,141,142,142,140,138,139,142,145,143,138,133,129,130,130,130,129,128,129,131,130,129,126,125,124,123,123,126,128,129,129,132,135,135,133,131,130,131,133,135,137,138,138,136,134,133,133,131,132,132,133,133,132,130,127,126,127,130,132,132,132,133,133,131,130,129,130,131,132,134,137,138,137,136,136,136,137,136,134,132,131,131,132,134,136,138,139,138,137,137,137,138,136,134,135,140,143,142,141,141,142,141,139,139,141,142,141,141,142,143,144,144,143,141,139,138,139,141,141,137,135,135,137,137,136,136,136,137,138,139,138,138,138,139,140,141,141,140,140,142,143,144,144,145,145,146,146,146,144,142,142,144,145,144,144,146,147,146,146,147,150,151,150,149,149,150,149,148,147,145,142,142,144,145,145,147,149,148,147,146,147,146,145,145,147,149,151,153,153,153,152,151,150,151,150,147,145,146,149,151,151,150,150,152,155,154,151,150,152,152,149,146,147,150,152,154,156,157,156,152,147,145,147,148,146,144,143,144,144,143,145,146,145,146,147,147,147,148,148,147,147,148,150,151,152,153,154,154,153,151,150,153,154,154,156,158,158,158,157,156,155,155,157,160,161,160,159,159,159,160,160,157,155,152,150,150,153,153,152,151,150,148,146,145,145,147,148,146,145,146,147,147,146,145,143,141,142,144,144,145,147,148,149,149,150,148,146,144,144,142,140,140,142,145,146,146,148,146,143,145,147,144,140,140,144,146,146,148,151,152,149,146,143,142,141,139,139,142,141,138,135,137,141,141,141,140,139,138,137,138,139,139,139,138,140,143,143,140,138,137,138,138,140,142,139,133,132,134,133,132,132,136,136,132,131,131,131,130,130,130,132,133,135,138,138,134,129,130,135,138,136,134,137,140,140,140,140,140,141,141,137,134,135,137,138,137,139,142,141,138,136,136,135,134,133,133,133,132,130,132,137,140,140,138,137,138,139,140,140,142,143,143,null],[131,131,134,135,135,136,136,136,136,135,135,135,136,136,137,138,138,136,134,133,134,136,138,139,139,138,136,138,141,141,140,140,139,137,138,139,140,139,139,141,143,143,143,143,144,143,142,140,140,140,141,140,137,138,140,141,139,137,139,139,137,139,142,140,139,139,136,135,137,139,140,142,143,144,144,145,145,144,141,139,139,140,140,139,139,140,143,144,142,138,134,132,132,132,131,130,129,130,130,130,130,128,126,124,124,125,127,130,131,131,133,135,134,132,132,131,132,132,133,135,138,139,137,134,133,133,133,133,134,135,135,132,129,126,126,127,128,128,128,130,132,133,132,130,130,131,133,133,134,136,136,136,137,138,137,136,135,133,131,130,131,132,133,134,136,137,137,136,136,138,141,139,136,136,140,143,141,138,139,141,141,140,140,143,145,143,143,144,145,145,143,142,141,140,140,139,140,140,139,137,137,138,138,137,136,135,135,136,137,138,140,140,140,142,143,143,142,141,141,142,142,144,145,146,147,147,147,145,142,142,145,148,148,146,146,147,147,146,147,151,153,151,150,150,150,149,148,147,146,142,141,142,143,144,146,147,147,147,146,145,145,146,145,145,147,150,152,152,152,153,152,152,153,150,147,145,146,149,151,151,151,151,152,153,154,153,153,153,153,151,148,148,148,150,154,157,158,156,152,147,146,150,152,148,143,140,141,142,143,145,146,144,144,145,145,146,147,148,147,145,146,149,151,151,150,150,151,152,152,151,151,153,155,157,157,154,153,155,157,158,159,160,160,161,161,161,162,162,162,159,156,155,155,153,152,153,153,151,150,150,148,146,144,144,145,146,146,145,144,143,144,145,144,142,141,141,143,143,143,144,146,147,148,149,150,148,146,146,144,141,140,141,143,143,144,148,146,142,144,144,140,139,142,144,146,148,151,152,150,148,147,146,146,145,142,139,141,141,139,136,137,140,142,140,138,137,136,139,142,139,139,141,142,142,143,141,138,137,136,136,136,138,141,139,134,134,137,137,133,130,132,133,131,131,131,131,129,130,132,134,135,135,136,137,135,130,131,134,135,133,131,136,138,138,137,138,138,138,138,136,134,134,136,137,136,137,140,138,136,135,137,137,134,132,132,132,132,132,135,140,138,135,135,136,138,139,141,143,144,144,145,null],[131,131,134,135,135,136,136,136,136,135,135,135,136,136,137,138,138,136,134,133,134,136,138,139,139,138,136,138,141,141,140,140,139,137,138,139,140,139,139,141,143,143,143,143,144,143,142,140,140,140,141,140,137,138,140,141,139,137,139,139,137,139,142,140,139,139,136,135,137,139,140,142,143,144,144,145,145,144,141,139,139,140,140,139,139,140,143,144,142,138,134,132,132,132,131,130,129,130,130,130,130,128,126,124,124,125,127,130,131,131,133,135,134,132,132,131,132,132,133,135,138,139,137,134,133,133,133,133,134,135,135,132,129,126,126,127,128,128,128,130,132,133,132,130,130,131,133,133,134,136,136,136,137,138,137,136,135,133,131,130,131,132,133,134,136,137,137,136,136,138,141,139,136,136,140,143,141,138,139,141,141,140,140,143,145,143,143,144,145,145,143,142,141,140,140,139,140,140,139,137,137,138,138,137,136,135,135,136,137,138,140,140,140,142,143,143,142,141,141,142,142,144,145,146,147,147,147,145,142,142,145,148,148,146,146,147,147,146,147,151,153,151,150,150,150,149,148,147,146,142,141,142,143,144,146,147,147,147,146,145,145,146,145,145,147,150,152,152,152,153,152,152,153,150,147,145,146,149,151,151,151,151,152,153,154,153,153,153,153,151,148,148,148,150,154,157,158,156,152,147,146,150,152,148,143,140,141,142,143,145,146,144,144,145,145,146,147,148,147,145,146,149,151,151,150,150,151,152,152,151,151,153,155,157,157,154,153,155,157,158,159,160,160,161,161,161,162,162,162,159,156,155,155,153,152,153,153,151,150,150,148,146,144,144,145,146,146,145,144,143,144,145,144,142,141,141,143,143,143,144,146,147,148,149,150,148,146,146,144,141,140,141,143,143,144,148,146,142,144,144,140,139,142,144,146,148,151,152,150,148,147,146,146,145,142,139,141,141,139,136,137,140,142,140,138,137,136,139,142,139,139,141,142,142,143,141,138,137,136,136,136,138,141,139,134,134,137,137,133,130,132,133,131,131,131,131,129,130,132,134,135,135,136,137,135,130,131,134,135,133,131,136,138,138,137,138,138,138,138,136,134,134,136,137,136,137,140,138,136,135,137,137,134,132,132,132,132,132,135,140,138,135,135,136,138,139,141,143,144,144,145,null],[133,133,133,133,134,134,133,132,133,134,133,133,134,135,136,136,135,133,130,132,134,134,133,135,137,137,136,136,138,138,138,139,139,140,140,139,137,137,138,140,142,142,140,140,142,142,143,145,146,145,144,144,143,141,138,136,136,136,138,140,139,139,140,141,141,140,140,140,141,143,143,144,143,143,142,142,143,144,142,141,139,136,136,137,138,139,139,138,137,137,137,135,133,133,133,133,132,132,131,128,128,128,127,127,129,132,134,134,135,136,136,134,132,132,133,135,135,135,133,132,134,139,142,142,138,136,137,137,137,137,135,130,127,128,132,135,133,130,129,130,133,135,136,135,134,134,134,134,136,138,138,136,138,141,141,137,133,131,132,133,133,133,133,133,133,133,133,134,136,137,139,140,139,140,139,138,137,137,138,140,141,140,139,139,141,144,146,145,144,143,144,145,143,140,138,139,142,145,144,141,138,139,142,144,141,138,135,137,139,140,140,141,142,144,144,144,145,146,146,145,144,143,143,145,147,149,150,150,146,142,142,146,150,150,148,147,148,149,150,151,152,153,152,150,147,146,147,148,148,145,143,143,143,144,145,147,149,150,151,151,151,150,148,147,147,148,148,148,149,152,152,152,151,149,148,151,153,153,154,156,155,153,153,155,155,153,150,149,149,149,148,147,148,152,155,155,154,153,152,150,147,147,149,148,145,142,142,144,146,146,144,142,142,145,147,147,146,146,145,145,147,149,151,151,150,151,153,154,153,152,152,153,152,151,148,146,146,148,150,153,157,159,157,153,152,154,158,161,161,158,156,153,152,153,153,151,150,150,150,149,148,147,145,144,146,148,148,148,145,142,143,147,147,145,145,143,140,140,141,142,142,143,145,146,145,145,145,144,144,144,141,139,139,140,141,142,143,143,141,138,138,141,144,145,147,150,147,143,143,146,150,150,147,144,142,140,137,136,136,137,139,142,144,144,143,141,139,140,142,144,144,143,144,144,142,139,137,137,137,137,137,135,134,134,134,138,140,141,138,135,131,129,128,129,130,130,129,129,130,132,132,133,135,136,134,130,131,134,133,130,130,133,137,137,137,135,133,136,139,138,131,127,130,135,139,138,135,133,134,137,137,133,131,131,132,134,138,141,140,135,132,131,133,136,138,139,140,142,140,140,143,null],[132,131,131,132,134,135,134,133,134,134,132,132,133,134,135,135,133,131,130,133,135,133,131,132,134,136,135,135,137,139,139,138,138,139,139,137,136,136,137,139,141,140,137,137,140,141,141,141,143,144,145,145,144,143,141,139,138,139,140,141,141,139,137,140,142,141,141,142,142,142,144,145,145,144,143,143,144,144,142,141,139,135,133,135,137,139,139,137,137,137,137,134,130,129,129,130,131,131,130,126,126,127,127,128,131,133,135,134,134,135,135,134,132,132,134,135,137,137,137,135,134,136,139,141,140,137,138,137,136,135,134,129,128,131,137,141,139,134,130,131,134,137,138,137,136,135,135,134,136,140,141,140,140,141,140,136,132,132,134,135,135,133,132,131,132,134,135,136,136,136,138,140,141,140,138,134,134,136,138,140,141,141,140,139,140,143,145,145,143,142,142,143,141,139,139,142,145,145,142,139,138,139,143,145,142,138,136,137,140,141,142,143,143,142,142,143,145,146,146,144,143,143,143,145,147,149,150,149,145,141,142,146,149,150,149,148,147,148,149,150,150,151,150,149,148,147,148,149,150,149,147,145,144,144,147,150,151,153,154,154,154,151,149,148,148,150,150,150,151,153,154,154,153,149,147,150,152,152,153,156,157,157,157,159,159,156,152,149,148,147,147,146,148,152,155,154,153,153,154,153,150,147,146,146,146,144,142,143,145,145,144,143,142,143,144,145,144,143,142,144,146,147,150,150,150,151,152,153,151,149,150,151,148,145,144,145,147,148,151,153,155,155,154,151,150,152,155,157,158,157,156,155,154,153,152,150,147,147,148,149,149,148,146,146,149,150,149,148,147,145,146,149,149,147,144,143,142,141,140,140,141,142,144,144,142,143,144,143,144,145,142,139,138,138,138,139,140,142,141,139,138,140,142,144,146,147,143,140,142,145,147,146,143,142,141,139,137,137,138,138,140,145,147,145,144,143,142,141,142,145,146,145,145,145,143,140,138,138,138,138,137,135,135,136,137,140,141,140,139,138,135,131,129,128,128,128,127,125,126,129,131,134,137,136,133,129,130,132,133,132,133,134,137,138,137,134,132,134,138,137,131,127,129,136,141,139,133,132,134,136,134,130,129,131,133,135,137,138,136,131,132,135,137,138,138,137,137,138,138,139,141,null],[132,130,130,131,133,135,135,134,134,133,131,131,132,134,135,135,132,130,131,134,135,133,131,131,133,135,135,135,136,138,138,137,138,139,138,137,136,135,136,138,139,138,135,135,139,140,140,140,141,143,144,145,144,144,144,141,140,141,141,141,142,139,136,139,142,141,141,142,141,141,143,145,146,144,143,143,145,145,143,142,139,134,132,134,137,139,140,138,137,138,137,133,129,127,127,128,130,131,129,125,124,126,126,129,131,133,134,133,133,134,135,135,133,132,134,136,137,138,138,136,134,134,136,140,140,138,138,137,135,134,133,130,130,133,139,143,141,135,131,131,134,138,138,137,136,135,135,134,136,140,142,142,141,141,139,135,132,133,135,136,135,133,131,130,132,134,135,136,136,135,137,140,141,140,136,133,133,135,137,139,141,142,141,140,139,142,145,145,143,141,141,142,140,138,140,144,146,144,140,138,139,140,143,144,141,137,135,137,140,142,143,144,143,141,140,141,144,145,145,144,143,143,142,145,148,149,149,147,143,140,142,146,149,150,150,149,147,147,148,149,149,149,149,149,150,149,148,149,151,151,150,147,144,144,147,151,153,154,155,155,154,151,149,148,149,151,152,152,153,155,155,155,154,150,147,148,151,150,152,155,158,158,159,161,162,159,154,150,147,146,146,147,148,152,154,153,151,152,155,154,151,148,146,146,147,145,141,141,144,146,145,143,141,141,142,143,144,142,141,142,144,146,148,149,149,150,151,151,150,148,149,149,146,143,144,146,149,150,152,155,153,152,151,149,149,151,153,155,157,157,157,156,155,153,152,150,146,146,148,149,148,147,146,148,151,151,148,148,149,147,148,149,149,146,143,142,144,142,141,140,140,140,142,142,141,142,143,142,144,146,143,140,138,137,137,138,140,142,141,139,138,138,140,143,146,145,141,139,143,145,145,144,142,142,141,140,139,139,139,139,142,147,148,146,145,144,143,143,143,145,147,146,145,145,143,141,139,139,138,138,136,136,137,138,138,140,140,139,139,139,137,134,131,128,127,127,125,122,123,127,131,134,136,135,132,130,129,131,132,133,135,136,137,138,137,135,132,133,136,134,130,128,130,136,142,139,132,131,134,135,132,129,129,131,133,134,134,135,132,129,132,137,139,140,140,138,136,136,138,140,141,null],[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null]];