#include #include #include #include #include #include #include #include #include #include #include #include unsigned char sound[] = { 100,106,111,115,120,123,128,129,132,132,134,133,133,131,129,127,124,122,119,116,115,113,113,113, 112,114,114,117,117,120,121,124,126,127,130,130,133,134,135,137,139,140,140,142,142,143,143,142, 142,140,140,137,136,135,134,134,133,135,135,138,141,144,148,151,157,160,166,169,174,177,181,184, 185,187,186,187,185,185,182,179,177,172,169,165,159,155,149,144,141,135,132,129,125,124,122,120, 121,120,122,122,125,126,130,132,136,138,143,146,150,151,155,155,158,157,159,157,157,156,152,151, 146,143,141,138,137,135,134,133,133,132,133,132,133,132,134,134,136,136,139,141,144,146,150,151, 155,157,158,158,160,158,158,155,153,150,145,142,137,133,128,126,123,121,120,120,122,122,126,127, 131,134,137,141,144,148,150,154,158,160,163,163,164,165,164,163,161,160,156,154,151,147,142,139, 135,130,127,122,119,115,113,111,109,109,108,109,110,111,115,117,122,126,130,135,138,143,146,149, 150,152,151,152,152,152,152,151,151,149,149,147,146,144,143,140,138,137,134,133,131,129,129,128, 130,131,131,134,134,137,138,139,141,141,140,140,137,136,132,129,127,122,119,114,109,103, 99, 93, 89, 84, 81, 78, 78, 76, 77, 79, 81, 83, 88, 91, 96, 99,104,107,111,113,117,118,121,120,122,121, 121,119,118,115,110,108,102, 98, 93, 86, 81, 74, 69, 63, 60, 57, 53, 53, 51, 52, 52, 54, 55, 58, 60, 64, 67, 71, 76, 78, 83, 87, 90, 94, 97,101,103,106,107,110,110,110,110,108,108,107,105,105, 103,104,104,104,105,106,108,110,113,115,119,121,125,128,131,133,137,138,141,142,141,141,138,137, 132,128,123,118,111,105, 97, 91, 84, 79, 73, 68, 65, 62, 61, 60, 62, 63, 66, 70, 73, 79, 85, 89, 97,102,109,115,121,128,132,138,142,148,151,155,158,160,163,163,165,164,164,162,161,157,155,151, 149,146,142,141,138,138,136,137,136,137,137,139,140,142,143,145,147,147,149,150,149,150,149,149, 148,148,147,145,145,142,142,139,139,137,138,137,138,139,140,142,145,148,153,156,161,166,169,175, 180,185,190,193,198,199,202,203,203,201,200,196,193,188,182,177,169,163,154,147,139,133,126,121, 117,113,109,108,105,105,104,105,105,108,110,112,115,117,120,125,129,133,136,141,143,147,149,152, 152,154,153,153,151,151,148,148,146,145,145,144,146,148,148,152,153,156,157,159,162,162,165,165, 165,166,165,165,164,163,162,160,156,155,151,148,143,140,135,132,127,124,119,117,112,110,107,106, 104,103,104,103,106,108,110,114,118,122,128,134,139,146,152,157,161,166,168,170,171,170,169,167, 165,162,157,155,151,148,144,141,138,133,131,127,125,121,119,116,116,115,114,115,116,119,121,124, 126,130,131,134,135,137,137,136,136,134,133,131,128,127,124,123,120,120,118,118,117,118,119,119, 121,121,124,125,128,130,133,134,137,139,139,140,139,139,138,135,134,130,128,124,121,116,113,108, 103, 99, 93, 89, 84, 78, 73, 69, 63, 61, 57, 56, 54, 54, 53, 55, 55, 58, 59, 63, 65, 69, 72, 74, 78, 79, 83, 84, 88, 89, 92, 93, 95, 95, 95, 95, 93, 93, 90, 90, 87, 86, 84, 83, 82, 80, 80, 79, 80, 80, 82, 83, 86, 87, 90, 92, 93, 97, 98,102,104,106,108,109,109,110,109,109,107,105,104,101, 99, 98, 96, 95, 93, 95, 95, 96, 96, 99,101,103,106,108,113,116,118,122,124,128,129,132,134,134, 136,135,136,135,134,132,129,128,124,121,118,113,110,105,103, 98, 94, 92, 88, 88, 85, 86, 86, 87, 88, 92, 94,100,105,109,116,121,128,134,139,145,150,155,159,161,165,166,169,170,171,170,170,169, 169,168,166,166,165,162,162,161,158,159,157,158,157,158,158,159,159,161,161,163,163,165,165,166, 167,167,165,165,163,162,161,158,156,153,151,149,146,145,142,142,141,140,141,142,143,146,148,153, 155,160,163,168,171,175,177,181,184,186,190,190,193,193,194,193,190,188,183,180,173,168,161,155, 147,142,134,129,123,118,113,110,108,106,105,105,106,107,109,111,112,114,116,119,121,124,126,130, 133,137,139,143,144,147,148,150,150,152,153,154,154,154,154,154,155,154,155,155,155,156,156,158, 158,160,161,163,163,165,166,166,167,166,166,164,163,158,155,150,143,138,130,124,117,112,105,101, 96, 94, 92, 90, 90, 89, 90, 89, 92, 94, 95,100,103,108,114,119,127,133,140,148,153,160,165,169, 173,174,176,175,174,171,169,165,162,157,154,149,147,143,139,136,131,128,124,120,118,114,113,111, 109,109,108,107,108,107,109,109,109,111,111,112,112,113,113,112,113,112,112,111,112,110,110,109, 109,107,107,106,107,108,108,108,111,113,115,119,121,125,127,131,133,134,136,136,136,134,134,131, 127,122,118,112,107,101, 93, 87, 79, 74, 67, 59, 54, 47, 43, 37, 34, 31, 30, 29, 30, 30, 33, 35, 40, 43, 49, 54, 59, 64, 70, 75, 82, 88, 92, 98,101,105,108,110,111,112,112,112,112,112,112,112, 112,111,111,111,110,110,109,109,108,109,108,109,109,109,108,110,109,111,111,111,112,111,112,110, 110,107,107,104,102, 99, 97, 94, 93, 91, 88, 88, 86, 85, 85, 85, 85, 88, 90, 94, 98,102,107,112, 118,122,128,132,137,140,145,146,149,151,151,151,150,148,145,143,140,137,134,131,127,125,123,119, 118,115,114,113,111,112,112,114,116,117,121,123,128,130,135,139,144,147,152,154,157,161,162,165, 165,165,167,166,167,168,168,168,168,167,168,169,168,169,169,171,171,174,174,177,178,180,180,182, 181,182,182,183,181,182,180,180,179,177,174,171,167,164,160,157,151,147,144,139,137,133,131,129, 128,127,128,128,131,134,137,142,145,150,153,158,162,165,169,171,173,176,177,179,179,178,178,176, 175,171,168,163,160,155,149,145,139,134,128,125,121,117,115,113,112,111,112,112,115,116,120,121, 126,128,132,134,138,140,143,143,145,146,145,143,143,141,140,139,139,138,139,139,141,142,145,147, 148,152,153,155,156,156,158,158,158,159,160,159,161,159,160,158,158,155,154,151,145,141,135,130, 122,117,110,106,101, 96, 94, 91, 90, 89, 89, 89, 90, 92, 93, 97,100,102,107,110,115,119,126,130, 137,141,148,152,157,160,162,163,165,164,164,162,160,157,155,151,148,144,140,135,131,127,123,119, 114,112,109,108,106,105,106,106,107,108,108,108,109,108,108,106,106,103,101, 98, 96, 92, 90, 87, 86, 84, 82, 80, 80, 79, 80, 81, 81, 84, 85, 89, 92, 95, 99,104,107,112,116,119,124,126,129,130, 132,131,131,130,127,124,119,115,108,103, 95, 89, 81, 75, 68, 62, 56, 51, 46, 43, 39, 38, 36, 37, 37, 38, 41, 43, 47, 50, 56, 60, 66, 70, 77, 84, 89, 96,102,107,111,116,119,123,125,126,126,127, 126,126,126,125,125,124,124,123,122,122,121,122,121,123,123,124,124,126,127,126,128,126,127,125, 125,122,121,118,115,111,105,102, 97, 93, 88, 85, 81, 80, 78, 75, 75, 74, 76, 77, 77, 81, 83, 88, 92, 96,103,108,115,121,129,135,143,150,156,161,168,171,175,177,179,179,178,177,175,171,169,165, 162,159,154,152,147,145,142,139,135,134,132,132,130,131,131,133,134,135,138,139,142,143,146,147, 150,151,154,156,158,158,161,161,163,162,164,165,164,166,167,168,169,169,172,172,176,177,181,182, 187,189,193,195,197,199,200,199,200,198,197,195,191,189,184,181,176,172,166,163,157,153,147,142, 138,133,128,125,120,118,116,113,114,114,114,117,119,123,126,131,135,140,144,147,152,155,157,160, 161,162,163,161,162,160,159,157,154,153,150,147,145,142,140,140,138,139,137,138,137,137,136,133, 133,131,131,130,129,130,130,130,132,132,135,135,137,136,137,136,135,133,132,130,128,126,124,122, 123,122,123,124,125,128,129,131,134,135,139,139,142,144,146,146,149,150,152,153,155,155,155,154, 153,149,148,143,140,134,131,126,120,116,112,107,105,101, 99, 97, 96, 95, 96, 95, 97, 99,100,104, 106,109,114,117,122,125,129,133,135,138,139,140,139,139,137,137,135,135,133,133,132,130,130,128, 127,125,125,122,121,118,117,114,113,111,110,107,107,105,106,104,104,103,102,100, 99, 96, 96, 93, 92, 89, 88, 85, 84, 82, 80, 79, 77, 77, 76, 76, 76, 76, 78, 78, 81, 82, 85, 86, 90, 91, 95, 96, 100,101,104,106,107,109,109,110,110,109,107,106,102,100, 97, 93, 89, 85, 79, 76, 71, 69, 65, 63, 60, 60, 58, 59, 60, 61, 63, 65, 68, 70, 74, 77, 82, 85, 90, 93, 97,101,104,108,109,113,115,116, 119,119,121,122,122,124,125,125,127,128,129,131,131,132,132,133,132,133,133,133,132,131,131,130, 130,128,128,126,126,123,122,119,117,113,111,106,103, 99, 96, 91, 89, 86, 83, 83, 82, 83, 84, 86, 87, 91, 94, 99,104,107,114,118,126,132,139,144,151,156,163,167,173,176,180,182,185,186,186,187, 185,185,182,178,176,172,169,164,161,156,153,149,146,142,140,137,137,135,136,135,137,137,139,140, 143,145,146,148,148,150,151,152,152,154,154,156,157,157,159,160,162,163,165,166,168,169,170,172, 172,174,175,178,179,182,184,187,189,190,193,193,194,195,193,193,189,187,182,179,173,167,163,157, 152,146,141,135,131,126,121,118,113,111,108,107,107,105,107,106,108,108,112,113,117,119,122,127, 130,135,139,145,149,154,158,163,166,169,171,171,172,170,169,168,164,163,159,157,154,153,151,151, 149,149,148,148,146,146,144,144,142,142,140,140,138,139,138,138,136,136,135,133,132,129,127,125, 122,119,117,115,112,112,110,111,110,112,114,115,118,120,124,128,130,135,138,143,146,149,154,157, 158,161,161,163,162,160,159,156,154,150,147,143,138,135,130,127,124,119,117,113,111,107,106,102, 101, 98, 96, 95, 94, 95, 95, 98, 99,102,105,108,112,114,118,120,121,124,125,127,126,127,127,125, 126,124,124,122,121,119,119,116,116,114,114,111,112,110,110,109,110,108,110,108,110,109,108,108, 106,106,104,104,101,100, 96, 95, 90, 88, 83, 80, 76, 72, 69, 65, 63, 60, 59, 57, 57, 57, 56, 58, 59, 62, 64, 66, 71, 73, 78, 82, 85, 89, 93, 96, 99,102,104,106,108,109,109,109,109,108,107,106, 104,102, 99, 98, 96, 95, 92, 91, 90, 87, 87, 86, 85, 86, 85, 87, 89, 90, 93, 94, 98,100,104,106, 110,112,116,118,118,121,121,120,121,121,119,120,119,117,118,116,117,117,118,118,119,119,121,120, 122,122,122,124,125,125,126,127,126,127,126,127,126,126,124,124,122,122,119,119,116,115,113,112, 111,110,108,108,107,108,109,109,112,114,117,119,124,127,133,138,142,148,152,158,163,166,170,172, 175,176,178,178,179,178,178,176,176,174,174,171,171,168,167,163,162,159,155,154,151,150,149,148, 147,149,148,150,151,154,155,156,158,159,161,160,161,159,159,159,157,158,157,156,157,157,156,157, 156,158,158,159,159,161,161,163,164,164,167,168,171,172,173,175,175,176,175,177,175,176,174,172, 171,168,166,162,157,153,148,142,135,130,123,118,112,106,103,100, 97, 97, 98, 98,101,102,107,110, 113,117,121,125,128,131,135,138,141,144,146,150,152,155,157,159,160,161,162,162,161,159,159,157, 156,154,154,152,153,151,152,150,151,149,150,148,148,145,145,144,142,140,138,137,133,132,128,127, 124,120,118,114,112,109,107,104,103,101,101,100,102,103,104,105,108,110,113,115,118,122,126,129, 134,138,144,147,153,158,161,165,167,169,169,168,167,163,161,157,152,148,142,137,131,126,122,117, 114,109,107,103,102,100,100, 98, 99, 99, 99,101,102,102,105,105,108,108,110,109,111,110,112,111, 112,110,111,109,110,108,108,107,107,106,107,107,108,108,110,111,113,114,118,118,121,122,124,125, 125,126,126,124,123,120,118,114,112,107,103, 99, 93, 89, 84, 78, 73, 67, 63, 59, 54, 52, 48, 47, 44, 45, 44, 44, 47, 49, 51, 55, 59, 65, 70, 75, 82, 88, 94,100,105,110,115,118,122,124,127,128, 128,129,127,127,124,123,120,117,115,112,112,110,109,109,108,109,108,109,109,110,111,110,112,111, 113,112,114,114,113,114,114,113,113,111,110,108,108,106,104,103,100,100, 99, 97, 97, 96, 98, 97, 100,101,103,107,110,114,117,122,126,132,135,140,143,147,149,151,154,154,155,155,152,152,149,147, 144,142,138,137,133,132,130,127,127,125,122,122,121,121,120,122,122,125,127,128,132,134,139,142, 148,152,156,159,161,165,166,168,168,169,170,169,169,168,169,168,169,168,169,168,169,167,168,167, 167,166,166,165,166,165,166,166,167,167,168,168,167,168,168,166,166,164,162,162,158,158,154,153, 149,147,144,141,139,136,133,132,129,130,130,131,133,136,138,142,145,150,153,157,159,162,163,164, 163,164,162,161,159,158,155,154,151,150,147,145,142,140,137,133,130,126,123,119,118,115,114,112, 113,113,113,116,118,119,120,123,125,128,129,132,135,135,138,139,142,143,145,147,146,148,148,149, 148,149,148,148,148,146,147,145,146,145,145,144,145,143,144,143,142,142,142,140,141,139,140,140, 138,138,136,136,134,130,128,124,121,117,114,110,108,104,102,100,100, 98,100,101,102,106,108,112, 115,118,123,125,130,133,138,140,144,146,150,152,152,154,154,155,155,154,153,151,150,147,146,144, 140,138,133,131,127,124,121,118,114,112,109,108,105,105,103,102,102,100,101, 99,100, 99, 99, 98, 98, 98, 97, 97, 96, 97, 97, 98, 97, 99, 99,101,100,102,103,103,105,106,106,108,109,111,112,114, 115,115,117,117,118,118,117,118,117,114,114,110,108,104,101, 96, 93, 88, 84, 79, 74, 71, 66, 63, 59, 56, 55, 52, 52, 51, 53, 53, 57, 59, 63, 67, 71, 74, 79, 83, 88, 91, 95, 98,103,106,111,115, 118,121,124,126,129,131,132,134,135,135,135,134,134,134,132,131,129,129,127,127,126,123,124,121, 121,120,119,119,117,116,115,112,110,108,105,104,101, 99, 95, 94, 90, 89, 87, 85, 85, 84, 83, 85, 85, 87, 91, 92, 97, 99,104,107,112,116,122,125,132,136,142,145,151,155,160,163,168,171,171,174, 173,173,171,170,167,164,159,156,151,149,144,142,138,136,133,132,129,128,126,126,124,125,124,125, 127,127,130,133,135,139,141,145,147,151,154,156,157,160,161,164,165,167,168,168,170,170,171,171, 171,173,173,173,174,173,175,176,177,177,180,180,182,181,182,180,180,178,175,172,168,165,161,158, 154,150,147,145,141,140,137,136,133,132,128,127,124,121,120,118,116,116,117,116,120,121,125,128, 133,136,139,144,147,151,153,157,158,159,161,162,163,163,162,162,160,160,157,156,153,151,147,145, 141,139,136,134,131,131,129,129,128,129,128,130,129,131,130,132,133,134,135,136,137,137,138,137, 138,137,135,136,134,132,132,130,130,128,129,129,130,130,133,134,137,138,141,141,144,145,145,146, 146,146,146,145,146,144,144,143,141,141,138,137,135,133,132,129,127,126,122,121,117,116,113,111, 109,106,107,106,105,106,107,107,110,111,114,117,120,123,127,129,133,135,138,140,143,144,145,145, 146,145,145,144,141,140,138,136,132,129,125,122,118,115,112,110,107,106,104,103,102,101,101,100, 101,100,102,101,102,101,102,101,101,100, 99, 98, 97, 96, 95, 93, 92, 92, 90, 90, 89, 88, 88, 87, 88, 87, 88, 90, 90, 92, 94, 95, 96, 97, 96, 98, 98, 98, 99, 99, 99, 99, 99, 98, 97, 98, 96, 97, 95, 95, 93, 91, 90, 86, 85, 82, 81, 78, 77, 75, 75, 73, 75, 74, 77, 77, 80, 82, 86, 89, 94, 96, 101,104,108,111,115,118,121,124,125,129,129,132,133,133,134,133,133,134,132,132,130,129,127,126, 124,123,120,118,117,113,113,111,109,107,106,105,104,103,103,103,101,102,101,100,100, 99, 99, 98, 96, 97, 96, 95, 97, 97, 98,101,102,106,110,112,117,120,125,128,133,135,140,143,148,151,156,159, 164,166,170,171,173,174,175,175,172,172,169,167,164,161,158,154,152,148,144,142,139,137,135,134, 132,130,131,130,132,132,134,135,138,139,142,143,146,147,149,151,152,154,155,156,159,161,162,166, 168,170,172,173,174,175,174,174,173,172,171,170,169,169,168,169,169,170,171,172,172,173,172,172, 169,168,165,162,158,153,150,145,141,136,133,128,125,121,119,114,113,109,108,105,106,104,106,105, 109,110,114,117,121,124,129,133,138,142,146,150,153,156,159,162,164,165,167,168,168,168,167,165, 165,162,161,157,156,153,152,150,149,147,145,145,144,141,141,139,138,135,135,132,131,129,129,128, 126,127,126,127,125,126,125,126,125,126,125,125,124,125,123,124,124,123,125,124,127,127,130,131, 135,137,141,143,148,150,154,157,158,161,162,162,162,161,160,158,156,152,149,145,142,138,134,129, 126,121,119,115,111,109,106,105,103,103,104,104,105,106,107,110,111,114,116,119,120,124,124,127, 127,130,129,131,130,131,130,130,129,127,128,126,126,124,125,123,121,120,119,118,118,116,117,115, 115,114,114,113,112,112,111,108,108,106,104,102,100, 97, 95, 92, 91, 88, 86, 83, 81, 78, 74, 72, 70, 66, 65, 62, 62, 62, 62, 63, 64, 66, 70, 71, 77, 81, 85, 90, 94, 99,103,105,109,111,113,115, 114,116,115,116,115,114,112,110,107,106,103,102, 99, 96, 96, 94, 92, 92, 90, 91, 91, 90, 92, 92, 94, 95, 97, 98,101,102,105,106,109,110,112,113,115,115,117,116,117,117,115,116,113,112,112,110, 110,108,109,109,109,111,111,112,113,114,114,115,115,116,115,117,116,118,118,120,120,121,122,122, 123,122,123,121,121,119,119,118,116,116,114,115,115,114,117,117,120,120,124,126,128,132,134,138, 141,144,149,151,155,159,161,164,166,166,168,168,169,168,169,168,168,167,167,165,165,163,161,160, 158,157,154,152,150,147,146,143,144,142,144,144,146,149,150,154,154,157,157,159,158,159,158,158, 157,155,155,154,154,154,153,154,155,154,157,156,157,159,159,160,161,160,162,162,163,164,163,165, 165,165,165,164,162,161,158,157,153,152,148,146,142,140,137,133,131,127,125,122,120,117,116,114, 113,113,112,113,114,114,118,119,121,124,126,129,131,134,136,140,141,146,148,152,154,158,160,163, 164,167,167,169,167,168,165,165,162,160,157,155,153,150,148,144,142,142,139,139,137,137,136,136, 134,134,131,131,129,128,125,125,123,121,120,118,116,115,113,113,112,113,113,115,116,116,120,121, 124,126,129,130,134,136,138,142,144,148,149,152,154,155,155,155,156,155,155,155,152,152,149,147, 143,142,138,136,132,130,126,124,122,118,117,113,112,109,108,105,105,102,102,101,101, 99,100,100, 101,101,103,103,105,106,107,108,110,111,113,115,115,118,118,120,120,122,121,122,121,122,121,121, 120,120,120,118,119,118,117,117,115,115,112,111,108,107,102,100, 95, 92, 87, 84, 79, 75, 72, 68, 66, 63, 62, 60, 58, 58, 57, 58, 58, 59, 61, 61, 65, 66, 70, 72, 77, 80, 83, 87, 90, 95, 98,103, 128,127,128,127,128,127,128,128,127,128,127,128,128,128,128,128,127,128,128,128,128,128,127,128, 127,128,127,128,128,128,128,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,128,127, 128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,128,128,128, 128,128,128,128,128,127,128,128,128,128,127,128,127,128,128,127,128,127,128,127,128,127,128,127, 128,128,128,128,128,128,128,128,128,127,128,128,128,128,128,128,128,128,128,128,127,128,127,128, 128,127,128,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,127,128,128,127, 128,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128,128,127,128,127,128,127,128,127, 128,127,128,128,127,128,126,127,126,128,128,127,128,128,127,128,127,128,127,128,128,127,128,126, 128,127,128,128,127,127,126,127,127,128,128,127,128,127,128,127,128,127,128,127,128,127,128,127, 128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,128,127,128,127,128, 128,127,128,127,128,128,127,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128, 128,127,128,127,128,127,127,127,127,128,126,127,128,127,128,127,128,127,128,127,128,127,128,127, 128,127,128,127,128,126,128,126,128,127,128,127,128,128,127,128,127,128,127,128,127,127,128,127, 128,126,128,128,128,128,127,128,128,128,128,128,127,128,127,128,127,128,128,128,128,128,128,128, 128,128,128,127,128,127,128,128,127,128,127,128,127,128,127,128,127,127,127,127,128,128,128,128, 128,127,128,126,128,127,128,127,128,127,128,128,127,128,126,128,127,128,128,127,127,127,127,127, 127,128,128,128,127,128,127,128,128,127,128,128,127,128,127,128,127,128,128,127,128,128,127,128, 127,128,128,128,128,128,127,128,128,128,127,128,127,128,128,127,128,127,128,127,128,127,128,128, 127,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,127,128,128,126,127,127,128,127, 128,127,128,127,127,128,127,128,127,128,128,128,127,128,127,128,127,128,127,128,127,128,127,128, 128,127,128,128,127,128,128,127,128,128,127,128,127,128,127,128,127,128,128,127,128,127,128,127, 128,127,128,127,128,128,127,128,127,128,127,128,127,128,127,128,127,128,128,128,128,127,128,128, 128,128,127,128,128,128,128,128,127,127,128,128,128,128,127,128,127,128,128,127,128,127,128,127, 128,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,128,128,128, 128,128,127,128,128,128,128,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,128,127, 128,127,128,127,128,127,128,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128, 126,128,127,128,128,127,128,128,127,128,127,128,127,128,127,128,127,128,127,128,128,128,127,128, 127,128,127,128,127,128,127,128,127,128,127,128,127,128,128,128,127,128,128,127,128,127,128,127, 128,127,128,128,127,128,127,128,127,128,128,127,128,128,127,128,128,127,128,127,128,127,128,128, 127,128,127,128,128,128,127,128,127,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128, 127,128,127,128,127,128,127,128,128,128,128,127,128,127,128,128,127,128,127,128,127,128,128,128, 128,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,127,128,128,127,128,127, 128,127,128,127,128,127,128,127,128,128,127,128,127,128,127,128,127,128,128,127,128,128,128,128, 127,128,127,128,127,128,127,128,127,128,128,127,128,127,128,127,128,128,127,128,128,127,128,128, 127,128,127,128,128,127,128,127,127,128,127,128,127,127,128,127,128,127,128,127,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,128,127,128,127, 128,127,128,127,128,128,127,128,127,128,127,128,127,128,128,128,127,128,127,128,128,127,128,127, 128,128,127,128,127,128,127,127,126,127,126,128,126,126,127,126,128,128,126,127,126,126,128,126, 127,126,127,127,127,127,127,126,127,126,127,126,127,127,127,127,127,126,127,126,127,127,126,127, 127,126,127,126,127,127,127,127,126,127,126,127,127,126,127,126,127,127,126,127,126,127,126,127, 126,127,127,127,128,126,127,126,127,126,127,126,127,126,127,127,126,127,126,127,127,126,127,126, 127,126,127,126,127,127,126,127,126,127,127,127,126,127,126,127,127,126,127,126,127,126,127,126, 126,127,126,127,126,127,126,126,127,126,127,126,127,127,126,127,126,127,126,127,127,126,127,127, 127,127,127,127,126,127,126,127,126,127,127,126,127,126,127,127,126,127,127,126,127,126,127,126, 127,127,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,126,127,127,127,126,127,126, 127,127,126,127,126,127,126,127,126,127,127,127,126,127,126,127,126,127,127,126,127,127,126,127, 126,127,126,127,126,127,126,127,126,127,127,126,127,126,127,127,126,127,126,127,126,127,127,127, 127,127,126,127,127,126,127,126,126,127,126,127,126,127,127,126,127,126,127,126,127,126,127,127, 127,127,126,127,126,127,127,127,127,126,127,126,127,126,127,127,126,127,126,127,126,127,127,127, 126,127,126,127,127,126,127,127,126,127,127,126,127,126,127,127,126,127,126,127,126,128,127,126, 127,126,128,128,126,127,126,127,126,127,126,127,126,127,126,127,127,126,127,126,127,126,126,127, 126,127,126,127,126,127,127,126,127,127,126,127,126,127,126,127,127,126,127,126,127,126,126,127, 126,127,126,127,127,127,127,127,126,127,126,127,126,127,127,127,126,127,126,127,126,127,127,126, 127,126,127,126,127,127,126,127,126,127,126,127,126,127,127,127,127,127,126,127,127,127,127,126, 127,126,127,126,127,127,126,127,126,127,127,126,127,126,127,127,127,127,126,127,126,127,126,127, 127,126,127,127,127,126,127,127,127,126,127,126,127,126,127,127,126,127,126,127,127,126,127,126, 127,127,127,126,127,126,127,126,127,127,127,127,127,126,127,126,127,126,126,127,126,127,127,127, 127,127,127,126,127,127,126,127,126,127,126,127,126,127,127,127,127,127,126,127,126,127,126,127, 126,127,127,126,127,126,127,127,127,127,127,127,127,127,126,127,127,127,127,127,126,126,127,126, 127,127,126,127,126,127,127,126,127,126,127,126,127,127,127,126,127,126,126,127,126,127,126,127, 126,127,126,127,126,127,126,127,127,126,127,126,127,126,127,127,127,127,126,127,127,127,127,126, 127,127,127,127,126,127,127,127,127,127,126,127,127,128,127,128,128,128,128,128,128,128,127,128, 126,127,128,127,128,128,128,128,128,128,127,128,127,128,128,128,127,128,127,128,127,128,127,128, 128,128,127,128,128,127,128,127,128,127,128,128,127,128,127,128,127,127,128,127,128,127,128,127, 128,127,128,127,128,127,128,127,127,128,127,128,127,128,127,128,128,128,128,128,128,128,127,128, 127,128,128,127,128,127,128,127,128,128,127,128,127,128,127,128,128,127,128,127,128,127,128,127, 127,127,126,127,127,126,126,127,126,127,126,127,127,127,127,126,127,126,127,126,127,126,127,127, 126,127,126,127,127,126,127,126,127,126,127,126,127,127,127,127,126,127,127,126,127,126,127,126, 127,127,126,127,127,127,126,127,127,128,127,127,128,126,128,127,128,127,127,127,126,127,126,126, 127,126,128,127,127,126,128,126,127,126,127,128,126,127,126,127,126,127,126,127,127,128,126,127, 126,128,126,128,126,127,126,126,128,127,128,128,127,128,127,128,127,128,128,127,128,127,128,127, 126,127,127,127,128,127,127,127,128,128,127,128,126,128,127,126,128,127,127,127,128,128,127,128, 127,128,128,128,128,127,128,127,127,127,126,127,128,127,128,126,128,128,128,128,128,128,127,127, 127,127,127,128,127,128,126,127,126,127,126,127,126,127,128,126,127,126,127,127,128,127,127,127, 126,127,127,128,127,127,126,127,127,126,127,126,127,126,127,127,127,127,126,127,126,127,127,127, 128,127,128,127,127,128,127,128,127,128,128,128,128,127,127,127,128,127,128,127,128,128,128,127, 128,127,127,126,127,127,128,128,128,127,128,127,127,127,128,127,127,126,128,126,127,128,127,128, 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127,127,126,127,126,127,126,127,126,127,127,126,127,127,126,127,126,127,127,126,127,126,127,126, 127,126,127,126,127,126,127,126,127,126,127,126,127,127,126,127,127,126,127,126,127,127,126,127, 126,127,126,127,127,127,127,127,126,127,126,127,126,127,126,127,126,127,126,127,127,126,127,127, 127,126,127,126,127,126,127,126,127,127,127,127,126,127,126,127,127,126,127,126,127,126,127,126, 127,126,127,127,127,126,127,126,127,126,127,126,127,126,127,126,128,126,127,126,127,126,127,126, 127,126,127,126,127,127,128,126,128,127,126,128,126,128,127,126,128,127,128,127,127,126,127,126, 127,127,127,126,128,127,127,126,127,128,128,127,127,127,127,127,126,128,127,127,128,127,128,126, 127,127,128,127,126,127,128,126,127,126,127,126,127,126,127,126,127,127,127,126,128,128,127,127, 127,127,127,126,127,127,126,128,126,127,128,126,127,127,127,126,127,127,128,127,128,128,128,128, 126,127,126,128,127,127,127,128,127,127,126,127,127,127,126,127,126,127,128,127,127,127,127,127, 128,126,128,127,128,128,127,128,127,128,126,128,127,128,127,128,127,128,127,128,128,128,127,128, 128,127,128,127,128,127,128,127,128,127,127,128,126,128,127,128,128,126,128,126,127,127,128,127, 128,127,128,128,127,128,127,128,127,128,127,128,127,128,128,127,128,128,127,128,126,127,126,127, 126,127,126,128,128,127,128,127,128,127,128,128,129,129,129,129,129,128,129,127,128,127,128,127, 127,127,127,127,126,127,126,127,127,127,126,128,127,127,128,128,129,129,130,130,131,130,131,130, 131,130,130,129,128,128,126,127,126,125,125,124,123,124,124,123,124,123,125,126,127,128,129,131, 131,133,134,135,135,137,136,137,136,134,134,133,130,129,125,124,122,120,117,116,115,113,112,112, 111,111,113,113,116,117,121,123,127,129,133,135,139,142,144,145,147,147,148,147,147,144,143,140, 136,133,129,127,124,120,118,115,114,112,113,112,114,115,116,119,121,123,127,129,134,137,140,143, 145,148,149,152,153,152,153,151,150,147,144,139,136,131,127,123,118,114,110,108,104,104,102,103, 104,106,108,110,112,117,120,125,129,132,137,140,143,147,149,152,152,154,154,151,150,145,142,137, 133,126,122,116,110,105,100, 97, 93, 93, 91, 90, 92, 93, 95, 99,103,108,112,119,124,129,133,139, 142,147,150,151,154,153,154,152,151,148,146,143,139,136,132,128,124,120,117,113,112,108,107,105, 105,105,107,107,109,112,114,117,118,123,125,129,132,135,139,141,144,144,145,144,143,140,139,135, 133,128,125,122,117,115,112,111,110,110,109,111,113,115,119,122,126,130,133,138,142,147,149,153, 155,157,157,157,155,152,148,145,140,137,132,128,124,119,117,114,112,112,110,111,110,111,112,113, 116,118,119,122,125,127,130,132,134,136,140,141,145,147,148,150,149,149,148,148,146,143,141,137, 133,129,126,121,118,114,112,111,109,110,110,112,114,116,120,123,128,132,134,138,140,144,147,147, 149,149,149,147,143,142,138,134,132,128,124,121,118,113,112,109,108,106,106,105,107,109,111,115, 118,122,126,129,134,136,139,141,144,145,145,147,146,146,145,142,142,140,139,137,136,133,132,130, 128,127,126,124,122,123,123,124,126,128,131,133,136,139,141,143,146,148,150,152,154,155,156,156, 155,153,151,148,144,141,136,134,129,126,122,120,116,114,111,110,110,110,112,113,115,119,122,125, 129,131,134,135,139,140,144,147,149,153,154,156,155,156,154,152,149,144,138,133,127,120,114,107, 102, 97, 92, 90, 88, 88, 88, 91, 93, 97,100,102,106,108,111,113,115,117,120,120,123,122,123,121, 120,116,113,108,104, 99, 96, 92, 91, 88, 88, 87, 88, 88, 90, 91, 94, 97, 99,104,106,112,115,120, 123,127,129,133,135,139,141,145,146,147,148,146,146,142,141,136,133,130,125,123,119,117,114,110, 109,106,103,103,101,101,103,103,105,107,110,113,116,119,123,126,130,133,135,136,136,135,135,133, 129,124,120,113,109,103, 99, 94, 91, 87, 85, 84, 83, 82, 83, 85, 86, 91, 94, 99,103,108,113,117, 122,125,130,134,136,140,142,146,147,150,150,152,151,151,150,147,146,143,142,139,135,134,131,129, 126,124,123,123,123,125,126,129,131,133,137,139,143,145,150,152,156,158,159,162,162,161,161,158, 156,152,150,146,144,140,138,135,135,133,133,132,134,134,136,136,139,139,142,144,146,148,149,151, 151,153,154,156,156,158,159,158,158,155,154,151,147,143,139,134,130,125,119,116,111,109,105,104, 102,101,102,102,104,105,109,112,114,119,121,126,129,131,135,138,139,142,143,142,143,141,140,137, 134,133,129,128,125,123,122,120,120,118,119,118,120,121,125,128,130,133,137,139,143,144,147,149, 149,150,151,150,149,146,144,140,137,133,128,125,121,118,114,113,110,109,106,106,104,104,102,103, 102,104,105,105,109,111,116,120,125,130,134,140,144,151,156,159,164,165,167,169,167,167,165,161, 159,155,151,148,144,142,138,136,133,132,131,130,130,131,133,134,136,139,141,143,145,146,148,148, 150,149,151,150,151,151,149,149,146,144,140,137,132,130,125,122,117,115,112,111,110,111,110,113, 115,117,122,125,131,135,137,141,144,145,147,147,149,149,149,148,147,144,144,141,138,133,129,124, 118,113,106,102, 97, 92, 87, 82, 80, 77, 73, 72, 70, 70, 68, 69, 69, 70, 70, 73, 73, 76, 78, 81, 84, 86, 90, 91, 94, 95, 94, 95, 93, 93, 92, 91, 89, 88, 87, 85, 86, 86, 88, 89, 92, 93, 96, 98, 102,104,109,111,117,120,125,129,132,136,140,142,142,144,143,143,140,137,134,128,124,118,114,107, 103, 97, 94, 89, 87, 85, 85, 83, 85, 84, 86, 87, 91, 92, 96, 98,102,105,107,111,114,115,118,118, 121,121,123,123,122,122,121,121,119,117,117,114,113,111,110,109,107,107,107,107,107,109,110,114, 117,122,125,130,135,139,145,148,154,156,161,162,165,165,167,165,164,163,160,156,152,147,143,137, 134,130,128,126,126,125,127,129,131,134,136,140,143,146,150,152,157,160,162,165,167,169,170,171, 174,173,174,172,172,169,166,163,158,154,150,145,140,136,132,129,127,126,125,126,127,128,130,132, 135,138,140,145,148,150,153,154,157,158,160,160,161,160,158,157,153,150,146,141,137,131,127,121, 118,113,111,108,105,105,104,105,106,109,110,114,117,122,125,130,134,137,142,144,148,149,151,151, 152,150,150,148,148,145,144,142,140,139,137,137,137,135,136,135,136,135,136,136,137,137,140,141, 145,147,151,153,158,160,165,167,170,172,172,172,170,169,164,161,154,149,142,134,128,121,116,110, 106,102,100, 98, 98, 98, 99,100,104,106,111,115,120,124,130,133,139,142,144,147,148,151,151,153, 153,155,153,153,152,150,148,145,142,139,135,132,129,127,126,124,124,123,124,125,126,127,128,131, 133,135,135,137,138,137,138,137,137,135,135,134,132,132,130,128,126,123,118,116,111,108,104,102, 99, 98, 97, 96, 97, 97,100,101,105,107,112,115,120,124,129,132,135,139,140,142,142,142,140,139, 134,131,124,120,112,105, 98, 90, 83, 77, 70, 67, 62, 61, 59, 56, 57, 56, 58, 58, 61, 62, 66, 69, 72, 77, 81, 86, 90, 96,100,105,108,112,114,115,117,117,118,117,118,116,116,114,115,115,114,116, 116,119,119,121,121,123,124,126,126,128,129,131,131,133,132,133,131,130,130,128,127,125,121,118, 114,111,105,102, 97, 92, 89, 84, 81, 77, 75, 72, 72, 71, 69, 70, 70, 73, 74, 78, 80, 86, 90, 96, 100,106,111,115,120,123,128,129,132,132,134,133,133,131,129,127,124,122,119,116,115,113,113,113, 112,114,114,117,117,120,121,124,126,127,130,130,133,134,135,137,139,140,140,142,142,143,143,142, 142,140,140,137,136,135,134,134,133,135,135,138,141,144,148,151,157,160,166,169,174,177,181,184, 185,187,186,187,185,185,182,179,177,172,169,165,159,155,149,144,141,135,132,129,125,124,122,120, 121,120,122,122,125,126,130,132,136,138,143,146,150,151,155,155,158,157,159,157,157,156,152,151, 146,143,141,138,137,135,134,133,133,132,133,132,133,132,134,134,136,136,139,141,144,146,150,151, 155,157,158,158,160,158,158,155,153,150,145,142,137,133,128,126,123,121,120,120,122,122,126,127, 131,134,137,141,144,148,150,154,158,160,163,163,164,165,164,163,161,160,156,154,151,147,142,139, 135,130,127,122,119,115,113,111,109,109,108,109,110,111,115,117,122,126,130,135,138,143,146,149, 150,152,151,152,152,152,152,151,151,149,149,147,146,144,143,140,138,137,134,133,131,129,129,128, 130,131,131,134,134,137,138,139,141,141,140,140,137,136,132,129,127,122,119,114,109,103, 99, 93, 89, 84, 81, 78, 78, 76, 77, 79, 81, 83, 88, 91, 96, 99,104,107,111,113,117,118,121,120,122,121, 121,119,118,115,110,108,102, 98, 93, 86, 81, 74, 69, 63, 60, 57, 53, 53, 51, 52, 52, 54, 55, 58, 60, 64, 67, 71, 76, 78, 83, 87, 90, 94, 97,101,103,106,107,110,110,110,110,108,108,107,105,105, 103,104,104,104,105,106,108,110,113,115,119,121,125,128,131,133,137,138,141,142,141,141,138,137, 132,128,123,118,111,105, 97, 91, 84, 79, 73, 68, 65, 62, 61, 60, 62, 63, 66, 70, 73, 79, 85, 89, 97,102,109,115,121,128,132,138,142,148,151,155,158,160,163,163,165,164,164,162,161,157,155,151, 149,146,142,141,138,138,136,137,136,137,137,139,140,142,143,145,147,147,149,150,149,150,149,149, 148,148,147,145,145,142,142,139,139,137,138,137,138,139,140,142,145,148,153,156,161,166,169,175, 180,185,190,193,198,199,202,203,203,201,200,196,193,188,182,177,169,163,154,147,139,133,126,121, 117,113,109,108,105,105,104,105,105,108,110,112,115,117,120,125,129,133,136,141,143,147,149,152, 152,154,153,153,151,151,148,148,146,145,145,144,146,148,148,152,153,156,157,159,162,162,165,165, 165,166,165,165,164,163,162,160,156,155,151,148,143,140,135,132,127,124,119,117,112,110,107,106, 104,103,104,103,106,108,110,114,118,122,128,134,139,146,152,157,161,166,168,170,171,170,169,167, 165,162,157,155,151,148,144,141,138,133,131,127,125,121,119,116,116,115,114,115,116,119,121,124, 126,130,131,134,135,137,137,136,136,134,133,131,128,127,124,123,120,120,118,118,117,118,119,119, 121,121,124,125,128,130,133,134,137,139,139,140,139,139,138,135,134,130,128,124,121,116,113,108, 103, 99, 93, 89, 84, 78, 73, 69, 63, 61, 57, 56, 54, 54, 53, 55, 55, 58, 59, 63, 65, 69, 72, 74, 78, 79, 83, 84, 88, 89, 92, 93, 95, 95, 95, 95, 93, 93, 90, 90, 87, 86, 84, 83, 82, 80, 80, 79, 80, 80, 82, 83, 86, 87, 90, 92, 93, 97, 98,102,104,106,108,109,109,110,109,109,107,105,104,101, 99, 98, 96, 95, 93, 95, 95, 96, 96, 99,101,103,106,108,113,116,118,122,124,128,129,132,134,134, 136,135,136,135,134,132,129,128,124,121,118,113,110,105,103, 98, 94, 92, 88, 88, 85, 86, 86, 87, 88, 92, 94,100,105,109,116,121,128,134,139,145,150,155,159,161,165,166,169,170,171,170,170,169, 169,168,166,166,165,162,162,161,158,159,157,158,157,158,158,159,159,161,161,163,163,165,165,166, 167,167,165,165,163,162,161,158,156,153,151,149,146,145,142,142,141,140,141,142,143,146,148,153, 155,160,163,168,171,175,177,181,184,186,190,190,193,193,194,193,190,188,183,180,173,168,161,155, 147,142,134,129,123,118,113,110,108,106,105,105,106,107,109,111,112,114,116,119,121,124,126,130, 133,137,139,143,144,147,148,150,150,152,153,154,154,154,154,154,155,154,155,155,155,156,156,158, 158,160,161,163,163,165,166,166,167,166,166,164,163,158,155,150,143,138,130,124,117,112,105,101, 96, 94, 92, 90, 90, 89, 90, 89, 92, 94, 95,100,103,108,114,119,127,133,140,148,153,160,165,169, 173,174,176,175,174,171,169,165,162,157,154,149,147,143,139,136,131,128,124,120,118,114,113,111, 109,109,108,107,108,107,109,109,109,111,111,112,112,113,113,112,113,112,112,111,112,110,110,109, 109,107,107,106,107,108,108,108,111,113,115,119,121,125,127,131,133,134,136,136,136,134,134,131, 127,122,118,112,107,101, 93, 87, 79, 74, 67, 59, 54, 47, 43, 37, 34, 31, 30, 29, 30, 30, 33, 35, 40, 43, 49, 54, 59, 64, 70, 75, 82, 88, 92, 98,101,105,108,110,111,112,112,112,112,112,112,112, 112,111,111,111,110,110,109,109,108,109,108,109,109,109,108,110,109,111,111,111,112,111,112,110, 110,107,107,104,102, 99, 97, 94, 93, 91, 88, 88, 86, 85, 85, 85, 85, 88, 90, 94, 98,102,107,112, 118,122,128,132,137,140,145,146,149,151,151,151,150,148,145,143,140,137,134,131,127,125,123,119, 118,115,114,113,111,112,112,114,116,117,121,123,128,130,135,139,144,147,152,154,157,161,162,165, 165,165,167,166,167,168,168,168,168,167,168,169,168,169,169,171,171,174,174,177,178,180,180,182, 181,182,182,183,181,182,180,180,179,177,174,171,167,164,160,157,151,147,144,139,137,133,131,129, 128,127,128,128,131,134,137,142,145,150,153,158,162,165,169,171,173,176,177,179,179,178,178,176, 175,171,168,163,160,155,149,145,139,134,128,125,121,117,115,113,112,111,112,112,115,116,120,121, 126,128,132,134,138,140,143,143,145,146,145,143,143,141,140,139,139,138,139,139,141,142,145,147, 148,152,153,155,156,156,158,158,158,159,160,159,161,159,160,158,158,155,154,151,145,141,135,130, 122,117,110,106,101, 96, 94, 91, 90, 89, 89, 89, 90, 92, 93, 97,100,102,107,110,115,119,126,130, 137,141,148,152,157,160,162,163,165,164,164,162,160,157,155,151,148,144,140,135,131,127,123,119, 114,112,109,108,106,105,106,106,107,108,108,108,109,108,108,106,106,103,101, 98, 96, 92, 90, 87, 86, 84, 82, 80, 80, 79, 80, 81, 81, 84, 85, 89, 92, 95, 99,104,107,112,116,119,124,126,129,130, 132,131,131,130,127,124,119,115,108,103, 95, 89, 81, 75, 68, 62, 56, 51, 46, 43, 39, 38, 36, 37, 37, 38, 41, 43, 47, 50, 56, 60, 66, 70, 77, 84, 89, 96,102,107,111,116,119,123,125,126,126,127, 126,126,126,125,125,124,124,123,122,122,121,122,121,123,123,124,124,126,127,126,128,126,127,125, 125,122,121,118,115,111,105,102, 97, 93, 88, 85, 81, 80, 78, 75, 75, 74, 76, 77, 77, 81, 83, 88, 92, 96,103,108,115,121,129,135,143,150,156,161,168,171,175,177,179,179,178,177,175,171,169,165, 162,159,154,152,147,145,142,139,135,134,132,132,130,131,131,133,134,135,138,139,142,143,146,147, 150,151,154,156,158,158,161,161,163,162,164,165,164,166,167,168,169,169,172,172,176,177,181,182, 187,189,193,195,197,199,200,199,200,198,197,195,191,189,184,181,176,172,166,163,157,153,147,142, 138,133,128,125,120,118,116,113,114,114,114,117,119,123,126,131,135,140,144,147,152,155,157,160, 161,162,163,161,162,160,159,157,154,153,150,147,145,142,140,140,138,139,137,138,137,137,136,133, 133,131,131,130,129,130,130,130,132,132,135,135,137,136,137,136,135,133,132,130,128,126,124,122, 123,122,123,124,125,128,129,131,134,135,139,139,142,144,146,146,149,150,152,153,155,155,155,154, 153,149,148,143,140,134,131,126,120,116,112,107,105,101, 99, 97, 96, 95, 96, 95, 97, 99,100,104, 106,109,114,117,122,125,129,133,135,138,139,140,139,139,137,137,135,135,133,133,132,130,130,128, 127,125,125,122,121,118,117,114,113,111,110,107,107,105,106,104,104,103,102,100, 99, 96, 96, 93, 92, 89, 88, 85, 84, 82, 80, 79, 77, 77, 76, 76, 76, 76, 78, 78, 81, 82, 85, 86, 90, 91, 95, 96, 100,101,104,106,107,109,109,110,110,109,107,106,102,100, 97, 93, 89, 85, 79, 76, 71, 69, 65, 63, 60, 60, 58, 59, 60, 61, 63, 65, 68, 70, 74, 77, 82, 85, 90, 93, 97,101,104,108,109,113,115,116, 119,119,121,122,122,124,125,125,127,128,129,131,131,132,132,133,132,133,133,133,132,131,131,130, 130,128,128,126,126,123,122,119,117,113,111,106,103, 99, 96, 91, 89, 86, 83, 83, 82, 83, 84, 86, 87, 91, 94, 99,104,107,114,118,126,132,139,144,151,156,163,167,173,176,180,182,185,186,186,187, 185,185,182,178,176,172,169,164,161,156,153,149,146,142,140,137,137,135,136,135,137,137,139,140, 143,145,146,148,148,150,151,152,152,154,154,156,157,157,159,160,162,163,165,166,168,169,170,172, 172,174,175,178,179,182,184,187,189,190,193,193,194,195,193,193,189,187,182,179,173,167,163,157, 152,146,141,135,131,126,121,118,113,111,108,107,107,105,107,106,108,108,112,113,117,119,122,127, 130,135,139,145,149,154,158,163,166,169,171,171,172,170,169,168,164,163,159,157,154,153,151,151, 149,149,148,148,146,146,144,144,142,142,140,140,138,139,138,138,136,136,135,133,132,129,127,125, 122,119,117,115,112,112,110,111,110,112,114,115,118,120,124,128,130,135,138,143,146,149,154,157, 158,161,161,163,162,160,159,156,154,150,147,143,138,135,130,127,124,119,117,113,111,107,106,102, 101, 98, 96, 95, 94, 95, 95, 98, 99,102,105,108,112,114,118,120,121,124,125,127,126,127,127,125, 126,124,124,122,121,119,119,116,116,114,114,111,112,110,110,109,110,108,110,108,110,109,108,108, 106,106,104,104,101,100, 96, 95, 90, 88, 83, 80, 76, 72, 69, 65, 63, 60, 59, 57, 57, 57, 56, 58, 59, 62, 64, 66, 71, 73, 78, 82, 85, 89, 93, 96, 99,102,104,106,108,109,109,109,109,108,107,106, 104,102, 99, 98, 96, 95, 92, 91, 90, 87, 87, 86, 85, 86, 85, 87, 89, 90, 93, 94, 98,100,104,106, 110,112,116,118,118,121,121,120,121,121,119,120,119,117,118,116,117,117,118,118,119,119,121,120, 122,122,122,124,125,125,126,127,126,127,126,127,126,126,124,124,122,122,119,119,116,115,113,112, 111,110,108,108,107,108,109,109,112,114,117,119,124,127,133,138,142,148,152,158,163,166,170,172, 175,176,178,178,179,178,178,176,176,174,174,171,171,168,167,163,162,159,155,154,151,150,149,148, 147,149,148,150,151,154,155,156,158,159,161,160,161,159,159,159,157,158,157,156,157,157,156,157, 156,158,158,159,159,161,161,163,164,164,167,168,171,172,173,175,175,176,175,177,175,176,174,172, 171,168,166,162,157,153,148,142,135,130,123,118,112,106,103,100, 97, 97, 98, 98,101,102,107,110, 113,117,121,125,128,131,135,138,141,144,146,150,152,155,157,159,160,161,162,162,161,159,159,157, 156,154,154,152,153,151,152,150,151,149,150,148,148,145,145,144,142,140,138,137,133,132,128,127, 124,120,118,114,112,109,107,104,103,101,101,100,102,103,104,105,108,110,113,115,118,122,126,129, 134,138,144,147,153,158,161,165,167,169,169,168,167,163,161,157,152,148,142,137,131,126,122,117, 114,109,107,103,102,100,100, 98, 99, 99, 99,101,102,102,105,105,108,108,110,109,111,110,112,111, 112,110,111,109,110,108,108,107,107,106,107,107,108,108,110,111,113,114,118,118,121,122,124,125, 125,126,126,124,123,120,118,114,112,107,103, 99, 93, 89, 84, 78, 73, 67, 63, 59, 54, 52, 48, 47, 44, 45, 44, 44, 47, 49, 51, 55, 59, 65, 70, 75, 82, 88, 94,100,105,110,115,118,122,124,127,128, 128,129,127,127,124,123,120,117,115,112,112,110,109,109,108,109,108,109,109,110,111,110,112,111, 113,112,114,114,113,114,114,113,113,111,110,108,108,106,104,103,100,100, 99, 97, 97, 96, 98, 97, 100,101,103,107,110,114,117,122,126,132,135,140,143,147,149,151,154,154,155,155,152,152,149,147, 144,142,138,137,133,132,130,127,127,125,122,122,121,121,120,122,122,125,127,128,132,134,139,142, 148,152,156,159,161,165,166,168,168,169,170,169,169,168,169,168,169,168,169,168,169,167,168,167, 167,166,166,165,166,165,166,166,167,167,168,168,167,168,168,166,166,164,162,162,158,158,154,153, 149,147,144,141,139,136,133,132,129,130,130,131,133,136,138,142,145,150,153,157,159,162,163,164, 163,164,162,161,159,158,155,154,151,150,147,145,142,140,137,133,130,126,123,119,118,115,114,112, 113,113,113,116,118,119,120,123,125,128,129,132,135,135,138,139,142,143,145,147,146,148,148,149, 148,149,148,148,148,146,147,145,146,145,145,144,145,143,144,143,142,142,142,140,141,139,140,140, 138,138,136,136,134,130,128,124,121,117,114,110,108,104,102,100,100, 98,100,101,102,106,108,112, 115,118,123,125,130,133,138,140,144,146,150,152,152,154,154,155,155,154,153,151,150,147,146,144, 140,138,133,131,127,124,121,118,114,112,109,108,105,105,103,102,102,100,101, 99,100, 99, 99, 98, 98, 98, 97, 97, 96, 97, 97, 98, 97, 99, 99,101,100,102,103,103,105,106,106,108,109,111,112,114, 115,115,117,117,118,118,117,118,117,114,114,110,108,104,101, 96, 93, 88, 84, 79, 74, 71, 66, 63, 59, 56, 55, 52, 52, 51, 53, 53, 57, 59, 63, 67, 71, 74, 79, 83, 88, 91, 95, 98,103,106,111,115, 118,121,124,126,129,131,132,134,135,135,135,134,134,134,132,131,129,129,127,127,126,123,124,121, 121,120,119,119,117,116,115,112,110,108,105,104,101, 99, 95, 94, 90, 89, 87, 85, 85, 84, 83, 85, 85, 87, 91, 92, 97, 99,104,107,112,116,122,125,132,136,142,145,151,155,160,163,168,171,171,174, 173,173,171,170,167,164,159,156,151,149,144,142,138,136,133,132,129,128,126,126,124,125,124,125, 127,127,130,133,135,139,141,145,147,151,154,156,157,160,161,164,165,167,168,168,170,170,171,171, 171,173,173,173,174,173,175,176,177,177,180,180,182,181,182,180,180,178,175,172,168,165,161,158, 154,150,147,145,141,140,137,136,133,132,128,127,124,121,120,118,116,116,117,116,120,121,125,128, 133,136,139,144,147,151,153,157,158,159,161,162,163,163,162,162,160,160,157,156,153,151,147,145, 141,139,136,134,131,131,129,129,128,129,128,130,129,131,130,132,133,134,135,136,137,137,138,137, 138,137,135,136,134,132,132,130,130,128,129,129,130,130,133,134,137,138,141,141,144,145,145,146, 146,146,146,145,146,144,144,143,141,141,138,137,135,133,132,129,127,126,122,121,117,116,113,111, 109,106,107,106,105,106,107,107,110,111,114,117,120,123,127,129,133,135,138,140,143,144,145,145, 146,145,145,144,141,140,138,136,132,129,125,122,118,115,112,110,107,106,104,103,102,101,101,100, 101,100,102,101,102,101,102,101,101,100, 99, 98, 97, 96, 95, 93, 92, 92, 90, 90, 89, 88, 88, 87, 88, 87, 88, 90, 90, 92, 94, 95, 96, 97, 96, 98, 98, 98, 99, 99, 99, 99, 99, 98, 97, 98, 96, 97, 95, 95, 93, 91, 90, 86, 85, 82, 81, 78, 77, 75, 75, 73, 75, 74, 77, 77, 80, 82, 86, 89, 94, 96, 101,104,108,111,115,118,121,124,125,129,129,132,133,133,134,133,133,134,132,132,130,129,127,126, 124,123,120,118,117,113,113,111,109,107,106,105,104,103,103,103,101,102,101,100,100, 99, 99, 98, 96, 97, 96, 95, 97, 97, 98,101,102,106,110,112,117,120,125,128,133,135,140,143,148,151,156,159, 164,166,170,171,173,174,175,175,172,172,169,167,164,161,158,154,152,148,144,142,139,137,135,134, 132,130,131,130,132,132,134,135,138,139,142,143,146,147,149,151,152,154,155,156,159,161,162,166, 168,170,172,173,174,175,174,174,173,172,171,170,169,169,168,169,169,170,171,172,172,173,172,172, 169,168,165,162,158,153,150,145,141,136,133,128,125,121,119,114,113,109,108,105,106,104,106,105, 109,110,114,117,121,124,129,133,138,142,146,150,153,156,159,162,164,165,167,168,168,168,167,165, 165,162,161,157,156,153,152,150,149,147,145,145,144,141,141,139,138,135,135,132,131,129,129,128, 126,127,126,127,125,126,125,126,125,126,125,125,124,125,123,124,124,123,125,124,127,127,130,131, 135,137,141,143,148,150,154,157,158,161,162,162,162,161,160,158,156,152,149,145,142,138,134,129, 126,121,119,115,111,109,106,105,103,103,104,104,105,106,107,110,111,114,116,119,120,124,124,127, 127,130,129,131,130,131,130,130,129,127,128,126,126,124,125,123,121,120,119,118,118,116,117,115, 115,114,114,113,112,112,111,108,108,106,104,102,100, 97, 95, 92, 91, 88, 86, 83, 81, 78, 74, 72, 70, 66, 65, 62, 62, 62, 62, 63, 64, 66, 70, 71, 77, 81, 85, 90, 94, 99,103,105,109,111,113,115, 114,116,115,116,115,114,112,110,107,106,103,102, 99, 96, 96, 94, 92, 92, 90, 91, 91, 90, 92, 92, 94, 95, 97, 98,101,102,105,106,109,110,112,113,115,115,117,116,117,117,115,116,113,112,112,110, 110,108,109,109,109,111,111,112,113,114,114,115,115,116,115,117,116,118,118,120,120,121,122,122, 123,122,123,121,121,119,119,118,116,116,114,115,115,114,117,117,120,120,124,126,128,132,134,138, 141,144,149,151,155,159,161,164,166,166,168,168,169,168,169,168,168,167,167,165,165,163,161,160, 158,157,154,152,150,147,146,143,144,142,144,144,146,149,150,154,154,157,157,159,158,159,158,158, 157,155,155,154,154,154,153,154,155,154,157,156,157,159,159,160,161,160,162,162,163,164,163,165, 165,165,165,164,162,161,158,157,153,152,148,146,142,140,137,133,131,127,125,122,120,117,116,114, 113,113,112,113,114,114,118,119,121,124,126,129,131,134,136,140,141,146,148,152,154,158,160,163, 164,167,167,169,167,168,165,165,162,160,157,155,153,150,148,144,142,142,139,139,137,137,136,136, 134,134,131,131,129,128,125,125,123,121,120,118,116,115,113,113,112,113,113,115,116,116,120,121, 124,126,129,130,134,136,138,142,144,148,149,152,154,155,155,155,156,155,155,155,152,152,149,147, 143,142,138,136,132,130,126,124,122,118,117,113,112,109,108,105,105,102,102,101,101, 99,100,100, 101,101,103,103,105,106,107,108,110,111,113,115,115,118,118,120,120,122,121,122,121,122,121,121, 120,120,120,118,119,118,117,117,115,115,112,111,108,107,102,100, 95, 92, 87, 84, 79, 75, 72, 68, 66, 63, 62, 60, 58, 58, 57, 58, 58, 59, 61, 61, 65, 66, 70, 72, 77, 80, 83, 87, 90, 95, 98,103, 105,110,112,116,118,121,123,124,125,126,127,127,125,126,124,123,121,120,117,117,115,113,113,111, 112,110,110,108,109,106,106,104,103,102, 99, 99, 96, 97, 96, 95, 95, 95, 96, 96, 95, 97, 96, 97, 96, 97, 96, 98, 97, 99,100,103,105,108,110,114,117,121,123,127,130,132,135,137,140,141,143,144, 146,147,146,147,146,147,145,144,143,141,138,138,136,134,132,131,130,128,128,126,127,125,126,125, 125,124,126,127,128,131,133,138,140,145,148,153,156,160,163,165,167,168,169,169,169,169,170,170, 171,171,172,173,173,174,174,174,173,173,171,170,167,166,163,162,161,158,158,156,156,156,154,155, 153,153,152,151,151,149,149,147,147,145,144,144,142,142,141,141,140,140,139,140,139,140,141,141, 143,143,146,146,149,149,151,151,153,154,154,153,154,153,154,153,153,152,152,150,150,147,146,142, 141,137,136,132,130,127,126,123,123,121,122,121,123,124,127,128,131,132,135,138,139,142,143,145, 145,148,148,150,151,152,151,153,152,154,153,154,153,154,153,153,152,152,152,149,149,146,145,142, 141,138,138,135,135,133,133,131,130,129,129,129,127,128,127,128,127,126,124,125,123,123,121,121, 121,120,121,119,121,120,121,122,123,123,125,125,128,129,130,133,135,138,140,144,145,148,149,152, 151,153,152,153,152,150,148,145,144,140,136,133,129,125,121,117,113,110,107,103,101, 98, 97, 96, 94, 94, 94, 93, 95, 95, 97, 97, 99, 99,101,102,102,104,103,106,105,108,108,110,111,112,111,112, 112,113,113,111,112,109,109,106,106,103,102,101, 98, 98, 95, 95, 92, 92, 91, 89, 89, 87, 87, 85, 85, 84, 82, 80, 79, 77, 76, 75, 73, 73, 71, 70, 70, 68, 69, 68, 70, 69, 71, 74, 76, 79, 82, 84, 88, 90, 95, 97,101,105,108,112,115,119,122,126,128,132,134,137,137,139,138,138,136,135,132,128, 127,122,120,116,115,111,110,106,105,102,100, 99, 96, 95, 93, 90, 90, 88, 88, 87, 88, 89, 88, 90, 89, 92, 92, 94, 94, 97, 97,100,102,104,105,109,111,114,119,120,125,127,130,134,136,140,141,145, 148,150,154,156,158,161,162,165,164,165,163,163,160,158,154,152,148,145,141,140,137,136,133,133, 133,131,132,130,130,129,128,128,127,127,127,129,130,133,135,140,142,148,151,157,160,165,167,172, 173,176,176,178,179,178,180,179,180,178,179,177,177,175,175,173,173,171,171,169,169,166,166,165, 164,162,162,160,157,156,152,152,148,147,143,142,140,137,136,132,132,128,128,125,125,123,121,121, 120,121,121,123,125,128,130,134,136,141,143,148,150,154,157,158,161,161,163,162,163,163,162,162, 160,160,159,157,156,153,153,150,149,147,144,143,141,139,137,135,133,131,129,129,128,128,127,128, 127,129,129,131,132,134,134,137,137,139,138,139,140,139,140,138,139,139,138,138,138,138,137,138, 138,140,141,140,142,143,142,144,143,145,144,146,145,146,146,145,145,144,143,141,140,137,136,132, 130,126,124,120,119,116,114,112,111,110,109,109,109,110,111,112,113,116,118,121,123,127,128,132, 135,136,139,140,142,141,142,141,142,140,138,138,135,134,132,130,129,125,124,121,119,117,114,113, 110,108,105,104,103,101,100,100, 99, 99, 99, 99, 99, 99, 99,100, 99,100, 98, 98, 96, 96, 94, 93, 92, 89, 89, 87, 87, 85, 85, 84, 84, 82, 84, 83, 85, 85, 88, 88, 91, 92, 95, 95, 98, 98,100,101, 101,102,101,102,101,102,100,101, 99, 98, 98, 95, 95, 92, 91, 88, 87, 84, 82, 81, 79, 79, 79, 79, 81, 83, 85, 89, 92, 94, 98,101,105,108,110,114,115,119,121,122,124,125,127,127,129,129,129,128, 128,126,125,122,121,119,117,115,113,112,111,109,107,106,104,104,103,101,101,100,101,102,101,103, 103,104,106,106,108,108,109,110,109,110,110,111,110,112,112,115,116,120,122,126,128,132,136,137, 141,142,145,147,148,149,152,153,156,158,159,163,164,167,168,169,170,169,167,166,163,161,157,155, 152,147,146,142,141,138,138,136,136,135,136,135,137,136,138,140,141,143,145,146,149,151,153,153, 156,156,159,160,161,162,163,164,166,166,168,169,169,169,171,170,171,169,170,169,168,168,166,166, 165,163,163,161,161,159,158,156,155,152,150,147,145,142,138,137,133,132,130,129,126,125,123,123, 121,121,120,120,119,120,120,121,121,123,123,126,128,130,132,135,137,141,143,148,150,155,157,161, 163,164,167,167,168,166,167,165,163,161,158,157,153,151,148,146,143,142,141,139,136,136,133,133, 131,130,129,127,127,125,125,124,122,123,121,122,121,122,122,123,122,123,123,124,124,126,126,128, 129,131,132,135,137,137,141,142,143,145,146,148,147,149,149,150,149,151,149,150,149,147,146,144, 143,140,138,136,133,131,129,125,124,120,119,117,115,114,112,111,109,108,108,105,106,104,105,104, 105,107,107,109,111,113,115,117,118,121,123,125,126,127,128,127,128,127,128,128,127,125,126,123, 124,122,122,121,120,118,117,115,112,112,109,108,106,105,101,100, 97, 96, 92, 91, 87, 86, 83, 82, 80, 77, 77, 74, 75, 74, 73, 73, 74, 72, 74, 74, 74, 75, 76, 78, 79, 80, 84, 86, 90, 93, 96, 98, 102,104,108,109,112,113,114,114,115,116,115,115,115,114,115,114,113,113,111,110,111,108,108,106, 104,104,102,102,100,100,100,100, 99,100, 99,100, 99,101,101,103,102,105,106,106,109,110,111,113, 114,115,116,116,116,115,116,115,116,115,117,116,118,119,120,122,123,123,125,125,124,125,124,125, 124,125,124,125,125,125,127,127,129,130,129,131,130,130,128,128,126,126,124,124,122,123,122,124, 124,127,128,131,134,136,139,140,144,145,148,151,152,154,157,158,161,162,164,165,166,167,166,168, 167,168,166,167,166,166,166,163,164,162,160,158,157,154,153,152,149,148,146,146,145,144,144,144, 145,145,147,147,148,149,149,150,151,150,152,152,152,153,153,155,154,155,155,156,155,156,156,155, 156,154,155,153,154,153,153,153,153,152,152,151,152,151,151,151,150,149,147,147,144,143,140,139, 135,132,131,127,126,123,122,120,120,118,119,119,120,120,123,123,126,127,131,132,135,136,139,142, 143,145,147,148,151,153,154,156,157,158,159,160,159,160,158,158,157,155,152,151,148,146,143,141, 139,135,134,131,130,128,124,124,121,122,120,120,119,120,119,120,119,121,120,122,121,123,122,123, 123,124,123,124,124,125,125,127,127,127,130,129,130,132,132,134,134,137,137,140,141,142,144,144, 146,147,147,148,147,147,144,144,141,140,136,134,131,126,124,119,117,113,111,107,106,103,102,100, 98, 98, 96, 97, 95, 96, 96, 97, 97,100,100,103,103,107,108,110,113,114,117,118,120,121,123,124, 126,125,127,126,125,125,123,121,120,117,115,112,110,108,104,103,100,100, 98, 96, 96, 93, 93, 90, 90, 87, 86, 83, 83, 80, 80, 79, 78, 76, 77, 76, 77, 77, 78, 78, 79, 79, 80, 80, 81, 81, 84, 85, 88, 90, 93, 96, 98,102,104,109,111,116,119,121,124,126,129,131,131,133,133,134,134,132,132,129, 128,125,124,120,118,114,113,111,109,107,105,104,102,101,100, 99, 98, 97, 96, 94, 95, 94, 95, 95, 97, 99,101,102,105,106,109,111,112,115,116,116,118,118,119,121,121,124,125,128,130,133,134,138, 139,142,144,144,146,147,146,147,146,147,146,147,145,146,144,145,144,142,141,139,139,136,136,133, 133,131,129,128,126,126,126,124,125,124,126,127,127,131,133,135,138,142,145,150,153,158,160,165, 167,169,172,173,173,175,174,175,174,174,172,172,171,168,168,165,164,162,159,158,156,153,153,150, 150,148,147,147,145,146,144,145,144,145,143,144,143,142,142,142,140,140,138,138,137,137,135,136, 136,135,136,136,138,138,140,140,143,143,145,146,148,149,151,152,151,153,153,153,154,153,154,153, 153,152,152,151,150,148,148,145,144,141,140,136,134,132,130,128,126,125,123,123,121,122,122,124, 124,126,127,129,132,134,137,138,141,142,145,147,148,150,151,151,152,151,152,151,149,149,147,146, 145,143,142,140,140,139,137,137,135,135,133,133,131,132,130,131,129,130,129,130,128,129,127,127, 125,125,123,123,121,120,118,117,117,115,114,115,114,115,116,116,117,119,120,123,123,125,128,129, 131,133,133,136,136,139,138,141,140,142,142,141,141,138,138,136,134,131,129,126,122,120,117,112, 111,106,105,101,100, 96, 96, 93, 93, 92, 93, 93, 95, 97, 97,100,100,103,104,106,106,108,108,109, 109,109,109,109,109,109,109,109,109,109,109,108,107,105,105,104,102,102,100,100, 98, 99, 98, 99, 98, 99, 98, 99, 99, 98, 98, 97, 97, 97, 96, 95, 94, 93, 91, 91, 89, 89, 87, 87, 86, 87, 87, 86, 87, 87, 89, 90, 93, 94, 97, 99,103,105,109,111,115,117,120,122,125,127,129,132,132,135,136,136, 138,137,138,137,135,133,131,128,125,122,118,116,113,111,108,107,104,104,103,103,102,103,101,102, 100,101,100, 99,100,100,102,103,105,106,109,110,113,114,117,118,122,122,126,126,129,130,133,133, 136,137,139,141,142,145,145,148,148,151,152,153,154,155,156,156,156,156,155,154,152,151,149,147, 144,142,139,138,136,134,133,131,132,130,131,130,131,130,132,131,133,133,135,136,139,140,143,145, 148,150,153,155,156,160,161,164,164,167,168,168,170,169,169,170,169,169,168,169,167,167,165,165, 164,162,159,159,156,155,153,150,148,146,144,142,139,138,135,135,132,132,129,130,128,128,127,128, 127,128,128,127,129,127,129,129,129,130,130,132,132,134,136,137,140,141,144,146,149,151,152,155, 155,157,157,158,158,157,157,155,155,152,152,149,148,145,144,142,139,138,137,134,134,131,131,128, 129,127,127,126,126,124,124,123,124,123,124,123,124,124,125,125,126,127,127,129,129,132,132,134, 134,136,136,138,138,140,140,142,143,143,144,143,144,144,143,143,141,141,139,139,136,136,133,133, 130,130,127,126,125,123,122,120,120,117,117,116,114,113,112,111,110,110,110,110,110,111,112,111, 113,114,116,116,119,121,121,124,126,127,129,129,131,131,132,131,131,130,129,127,127,125,125,123, 122,121,121,119,119,118,117,116,114,113,112,108,108,105,104,102, 99, 99, 98, 97, 97, 96, 94, 95, 93, 94, 93, 93, 93, 91, 92, 91, 92, 91, 92, 92, 92, 94, 95, 95, 97, 97,100,100,102,102,104,104, 107,107,109,109,111,110,112,112,112,112,112,110,110,110,109,108,108,107,107,107,106,106,106,105, 103,103,102,102,101,101,100,101,100,101,101,104,104,107,108,111,112,114,116,116,118,118,120,121, 121,121,123,123,125,125,127,128,129,128,129,129,129,128,128,126,125,123,123,120,120,118,118,117, 116,117,115,115,116,116,117,117,117,117,118,118,119,120,120,121,121,122,122,124,124,126,127,128, 129,132,133,136,138,138,142,142,145,145,147,147,148,150,150,151,152,153,154,154,155,155,156,157, 157,156,156,155,156,155,155,154,153,150,151,148,148,146,146,144,144,142,142,141,141,141,141,140, 139,141,141,141,142,142,144,144,146,147,149,150,152,153,155,156,158,159,159,161,162,161,162,161, 161,159,159,157,156,154,153,151,150,148,147,145,145,143,143,142,140,140,138,136,135,134,131,131, 129,127,127,125,125,124,124,124,123,124,125,124,126,125,127,127,129,128,131,130,133,133,135,136, 137,139,139,141,141,144,143,146,146,148,148,150,150,151,150,151,150,150,148,148,146,145,144,140, 140,136,135,132,131,127,126,124,122,121,118,118,116,117,115,116,114,116,115,117,117,118,120,120, 123,124,126,127,129,131,131,133,134,133,135,135,136,135,137,137,137,137,138,138,137,138,136,137, 136,137,136,134,134,133,132,131,130,128,128,125,125,122,121,119,118,117,115,115,114,114,113,113, 113,111,112,110,111,109,110,108,109,108,109,110,110,111,111,114,115,118,118,122,122,125,125,127, 127,129,129,128,129,128,128,126,125,124,123,122,120,117,116,113,111,108,106,103,102, 99, 98, 96, 93, 93, 91, 91, 89, 89, 87, 87, 86, 87, 87, 87, 88, 89, 89, 91, 92, 93, 94, 96, 97, 99,100,100, 103,102,105,105,107,109,111,112,115,116,119,121,121,123,123,124,122,124,122,123,121,122,122,121, 122,120,121,120,121,120,119,118,116,115,113,112,110,109,107,107,106,105,105,105,106,107,107,109, 109,111,112,113,114,115,116,117,119,119,121,122,124,124,126,126,128,128,129,131,132,132,133,134, 135,135,134,135,135,134,134,133,133,132,132,133,131,132,132,132,131,133,133,133,133,132,133,133, 132,133,133,131,132,131,133,132,133,133,134,135,135,137,138,140,142,143,145,146,149,150,152,154, 155,157,158,159,160,160,162,162,162,161,162,160,161,158,159,156,156,154,154,151,151,147,147,144, 144,143,141,141,141,140,140,140,140,141,139,140,139,140,139,140,138,139,138,139,137,139,138,139, 139,140,141,141,143,142,144,143,145,144,145,143,144,144,143,143,142,142,141,141,140,140,138,139, 137,137,136,135,135,133,133,133,132,130,130,128,128,127,126,126,124,124,123,123,123,122,124,124, 125,126,127,128,129,132,132,135,136,138,140,140,141,143,143,145,144,145,144,145,145,144,144,142, 142,140,138,138,135,134,132,130,130,127,127,125,126,124,125,123,124,124,123,124,122,123,123,122, 123,122,123,123,122,123,122,123,123,122,124,124,123,124,124,126,126,127,128,128,130,130,131,131, 132,132,132,133,133,133,133,134,134,134,134,135,135,135,133,133,132,130,130,126,125,122,121,118, 116,113,112,110,108,107,105,105,104,105,103,105,105,105,105,106,106,108,108,111,111,114,115,115, 117,119,119,120,121,121,121,122,121,121,120,120,120,118,118,116,115,113,111,110,107,107,105,103, 103,101,101,100,100, 99,100, 99, 99, 98, 98, 98, 97, 97, 96, 96, 96, 95, 97, 96, 98, 99,100,101, 102,104,105,104,107,107,107,108,108,109,111,112,115,116,119,120,123,124,127,129,129,131,131,132, 133,132,131,131,130,129,128,126,127,124,124,122,120,119,117,116,115,114,112,111,109,109,107,108, 106,107,107,107,107,107,108,108,110,112,114,116,118,120,122,124,124,127,128,130,130,132,133,133, 135,135,137,137,137,139,139,141,141,142,141,143,142,143,143,142,143,141,142,141,140,139,139,137, 138,136,136,135,135,134,133,133,133,131,132,131,132,131,133,132,134,133,135,135,137,138,140,141, 143,145,147,149,149,152,153,154,156,156,157,157,158,157,158,158,158,157,158,156,157,155,156,155, 154,151,151,148,148,145,144,141,140,137,136,134,133,131,131,129,129,129,129,129,129,129,129,129, 129,130,130,130,131,131,132,131,133,132,134,133,135,134,135,135,137,136,138,139,138,140,139,141, 141,142,141,142,140,141,140,140,138,139,137,137,136,135,134,134,132,132,131,131,129,129,129,127, 127,126,126,126,126,125,126,125,126,127,126,128,127,129,129,129,130,130,131,131,132,132,133,133, 135,135,137,136,138,137,139,138,139,138,137,138,137,136,136,134,134,133,131,131,130,128,127,125, 124,124,121,122,120,121,121,121,121,120,121,120,121,119,120,120,118,119,118,119,118,119,120,120, 122,122,124,126,126,128,128,130,130,129,130,130,130,130,130,130,130,129,130,128,129,127,127,126, 126,124,124,122,122,120,120,117,118,115,116,113,114,112,112,110,110,108,108,107,107,106,107,107, 107,106,107,107,108,108,107,108,108,109,109,108,109,109,111,110,112,112,114,113,114,115,114,114, 114,112,113,111,111,109,109,108,109,109,107,109,108,109,108,110,110,110,109,109,109,107,108,107, 108,107,108,109,109,110,110,112,113,112,114,114,116,116,117,117,119,120,119,121,121,121,122,123, 124,124,125,126,127,127,128,129,130,129,130,129,130,129,128,128,127,124,125,123,122,121,119,119, 117,117,116,116,115,114,115,115,114,114,114,114,115,116,115,117,117,119,121,121,124,125,128,129, 132,134,135,137,138,140,140,142,142,144,144,143,145,144,145,144,144,143,143,142,143,142,142,141, 142,142,140,141,140,141,141,140,141,139,141,140,141,140,141,140,142,140,142,140,141,140,141,139, 140,139,139,138,139,138,139,140,139,142,142,143,145,146,148,149,150,151,153,152,154,153,155,154, 155,153,154,152,151,150,148,148,147,145,144,142,140,138,137,134,133,131,130,128,127,126,125,125, 123,124,122,123,123,123,124,125,125,127,127,128,131,130,133,133,135,134,136,137,136,137,137,138, 137,138,136,138,136,138,137,137,137,137,137,138,136,138,136,137,137,136,137,136,138,136,137,136, 136,134,135,132,133,130,130,128,126,125,123,122,120,120,118,119,118,117,117,117,118,118,119,120, 122,123,126,128,130,131,133,135,137,138,139,139,139,140,140,139,139,138,137,138,136,136,135,135, 134,132,131,129,128,127,125,123,123,121,121,122,121,120,121,121,122,122,123,122,124,123,124,123, 125,124,125,124,125,124,124,124,124,124,122,123,122,123,121,122,122,123,121,123,122,123,124,124, 126,125,127,126,127,125,127,126,125,125,124,124,124,121,122,119,119,116,115,113,110,108,106,102, 101, 98, 96, 94, 93, 93, 91, 92, 91, 93, 92, 94, 95, 95, 97, 97, 99, 99,102,104,106,107,109,111, 113,114,115,115,117,116,118,118,117,118,116,117,116,117,116,117,116,118,116,118,117,119,119,120, 120,119,120,119,120,120,119,119,118,118,117,117,116,116,115,116,115,116,114,116,114,116,114,116, 114,116,114,116,114,116,116,116,118,118,120,121,123,124,127,128,131,132,136,137,138,140,141,141, 141,141,140,138,136,135,133,132,130,130,127,128,126,127,126,128,128,129,130,130,132,133,133,135, 134,136,136,135,136,135,135,135,135,135,136,135,137,137,138,139,139,141,140,142,141,143,142,143, 143,142,142,141,141,141,142,142,143,142,144,143,145,145,146,146,146,147,147,147,147,147,148,146, 146,144,143,143,141,140,138,139,136,137,134,135,133,134,132,132,132,132,133,134,133,136,137,138, 141,141,143,143,145,145,147,145,146,144,145,143,141,141,140,138,138,136,136,136,135,136,134,136, 134,136,136,135,136,136,137,138,137,138,138,139,138,139,138,138,139,137,139,138,137,138,137,137, 136,134,135,133,133,134,133,133,134,135,135,136,136,136,137,138,139,140,140,142,141,142,142,140, 141,139,137,135,134,131,131,130,128,128,127,126,125,125,123,124,122,122,120,120,117,117,114,114, 112,111,111,111,112,113,115,116,119,121,122,124,124,126,125,126,126,124,124,121,121,117,116,112, 111,108,104,103,100,100, 98, 99, 98,100,101,102,104,106,107,109,111,113,115,117,119,119,122,122, 122,122,122,122,123,123,122,123,123,123,122,123,121,122,121,122,120,122,121,122,123,123,124,124, 125,126,125,127,126,127,127,125,126,124,124,122,122,120,119,117,115,114,111,110,108,106,103,101, 97, 95, 92, 88, 86, 82, 81, 79, 78, 77, 77, 78, 78, 81, 82, 86, 89, 91, 96, 99,101,106,109,111, 115,116,120,121,122,124,126,126,129,129,132,132,133,134,134,136,135,137,137,136,137,136,135,134, 134,133,133,132,133,133,132,133,132,134,133,134,135,134,136,135,137,136,136,135,134,134,132,131, 129,129,127,128,128,127,129,130,130,132,133,136,136,139,140,141,142,143,144,144,145,144,145,143, 145,143,145,143,145,144,145,144,143,143,142,140,140,137,137,135,133,131,129,127,126,124,123,121, 120,119,120,119,120,119,121,120,122,122,124,125,126,126,129,130,130,133,133,135,136,138,138,140, 141,141,143,143,144,146,145,147,147,148,147,149,149,151,152,152,154,154,156,155,156,156,155,155, 153,153,151,149,147,145,143,140,138,135,134,133,130,130,128,129,128,128,127,128,126,127,126,125, 125,124,123,124,124,125,125,126,128,128,131,133,134,137,139,142,144,147,147,149,150,149,151,149, 150,150,149,150,148,148,147,147,146,145,144,144,142,143,141,141,142,141,141,140,140,140,138,139, 138,138,139,138,139,138,140,140,139,139,139,138,138,136,136,136,135,133,133,131,131,131,129,131, 131,131,133,133,135,134,136,134,135,133,134,131,131,129,129,126,127,125,125,123,123,121,120,119, 117,117,115,115,113,112,110,107,106,103,102, 99, 97, 95, 93, 91, 90, 88, 87, 85, 86, 84, 85, 85, 87, 87, 90, 90, 93, 93, 96, 96, 99, 99,102,102,104,105,105,107,107,109,109,111,112,113,113,113, 115,114,116,115,117,118,118,119,119,120,120,120,121,120,122,121,122,120,121,119,118,117,115,115, 112,112,109,109,107,108,106,106,106,105,105,105,104,104,103,103,102,101,101, 98, 97, 97, 95, 94, 93, 93, 92, 93, 93, 92, 94, 94, 97, 98, 98,101,103,104,105,107,107,109,108,110,110,113,113,115, 115,118,118,121,123,125,127,128,131,132,133,135,135,137,137,138,138,138,136,136,135,135,134,133, 133,132,133,133,134,134,136,136,137,139,138,140,140,139,140,139,141,140,140,141,140,141,141,143, 144,144,144,145,145,145,144,145,144,144,143,143,141,142,140,141,140,142,141,142,143,142,144,144, 146,145,147,146,148,147,146,147,146,146,146,144,145,143,143,141,141,139,139,137,136,133,133,131, 130,130,128,127,127,126,127,127,129,130,131,131,134,134,138,138,141,143,143,145,146,147,148,149, 150,149,151,150,152,152,154,155,156,157,158,160,160,162,161,163,162,161,161,159,157,157,155,155, 153,151,151,149,150,149,148,149,148,148,147,147,145,144,142,139,137,134,132,128,127,124,123,120, 120,118,119,118,119,120,121,121,124,125,126,129,130,133,135,135,138,138,140,140,142,143,143,144, 144,145,145,145,144,145,144,144,142,141,140,139,138,137,137,136,136,134,135,134,135,134,135,136, 136,136,135,135,135,133,133,131,131,131,130,130,130,131,130,131,129,130,130,129,129,129,127,127, 126,125,125,123,123,122,122,121,122,121,122,122,122,123,123,124,124,124,124,124,123,123,121,120, 118,115,114,110,108,104,101, 97, 95, 93, 90, 87, 85, 84, 82, 82, 80, 81, 80, 81, 82, 83, 84, 84, 86, 86, 90, 90, 94, 95, 98, 99,103,104,107,108,111,112,114,115,116,116,118,119,119,120,120,120, 121,122,121,123,122,123,123,124,123,123,123,121,122,119,120,118,117,114,114,111,111,109,107,106, 104,104,101,101,100, 98, 97, 95, 94, 92, 91, 89, 89, 87, 87, 85, 86, 85, 84, 86, 86, 88, 90, 90, 93, 94, 98, 98,102,102,106,106,109,109,111,112,112,113,113,114,113,115,114,116,116,118,119,120, 120,122,123,124,125,124,126,126,125,126,125,126,127,126,127,126,128,129,128,130,130,132,132,133, 132,134,133,134,133,135,134,136,135,138,137,140,141,141,144,144,147,147,150,151,152,151,153,152, 154,153,153,152,152,151,150,150,149,149,147,148,146,147,146,146,145,145,144,143,143,142,142,141, 141,140,140,140,139,140,140,141,140,141,142,142,142,142,142,142,142,142,141,142,140,141,139,140, 138,139,139,139,140,141,141,144,143,146,146,147,146,147,147,148,149,148,150,150,150,152,152,153, 154,155,155,157,156,157,156,157,156,154,154,152,151,150,147,147,145,146,146,147,147,147,146,148, 147,149,149,149,148,149,148,148,147,147,145,144,142,141,139,139,137,136,134,135,134,132,133,132, 132,132,131,132,131,133,132,133,133,135,135,135,137,137,139,140,141,142,143,145,145,146,146,145, 146,145,143,143,142,142,141,142,141,142,141,142,141,142,140,141,139,140,138,138,136,136,135,134, 134,134,133,133,132,133,133,133,132,133,131,131,130,129,128,127,125,124,121,120,117,116,113,112, 110,108,108,107,106,107,106,108,108,110,112,112,114,114,116,116,115,115,114,113,111,110,108,105, 103,101, 97, 96, 93, 91, 88, 87, 84, 83, 80, 79, 78, 76, 76, 75, 76, 77, 76, 78, 78, 81, 81, 84, 87, 89, 90, 93, 95, 97, 98,100,101,103,103,106,107,107,110,111,111,113,113,113,114,115,114,116, 115,115,115,116,115,114,115,114,115,114,115,115,115,114,115,114,116,116,115,115,114,113,111,110, 108,106,104,100, 98, 95, 93, 89, 88, 85, 84, 82, 82, 82, 83, 84, 84, 87, 87, 91, 92, 96, 98,101, 103,107,110,112,115,117,119,120,124,124,128,128,131,133,134,136,136,138,139,139,137,138,137,137, 136,135,135,134,134,133,132,133,132,133,133,134,134,134,134,135,134,135,134,135,135,136,135,137, 136,138,139,139,140,141,142,144,143,145,146,146,147,148,148,150,149,151,151,151,153,153,154,154, 156,156,158,158,160,160,159,160,159,158,159,157,157,155,154,153,151,150,148,145,144,143,140,140, 138,138,136,137,135,136,134,134,133,133,132,132,132,133,133,134,134,136,137,139,139,141,142,144, 145,146,146,148,148,148,149,149,148,150,150,152,152,154,156,156,158,159,159,160,160,161,160,160, 159,159,157,157,155,155,154,152,152,150,150,148,148,147,147,147,145,146,144,144,143,142,142,141, 138,139,136,137,136,134,134,132,133,132,133,133,134,133,135,134,136,136,136,136,137,135,136,135, 136,135,137,137,136,138,137,139,138,140,139,138,139,138,138,136,137,135,136,136,136,136,136,137, 137,138,138,139,139,138,139,138,136,136,135,133,133,131,131,130,128,129,127,128,126,127,127,126, 126,125,126,124,125,124,125,124,122,122,121,118,118,117,114,113,111,110,108,108,108,107,107,107, 107,106,107,106,106,106,104,105,103,103,101,101, 98, 98, 96, 96, 94, 94, 93, 92, 90, 90, 89, 88, 86, 86, 84, 84, 83, 83, 83, 82, 81, 82, 81, 83, 83, 84, 84, 86, 86, 88, 88, 88, 90, 90, 92, 93, 94, 96, 97, 98, 98,101,101,104,106,107,109,110,112,112,114,113,115,114,116,115,116,115,114,115, 113,114,114,114,113,115,113,115,115,114,115,116,114,115,114,114,112,112,110,109,107,106,104,103, 101,100, 98, 97, 97, 96, 96, 95, 96, 96, 97, 97, 98, 98, 99, 99,101,101,103,103,105,106,108,110, 111,115,116,120,123,125,128,130,133,134,137,138,141,141,143,143,143,144,144,145,144,145,144,143, 144,143,143,142,142,141,141,140,140,140,139,139,139,139,138,139,139,140,141,141,143,143,145,146, 147,146,148,147,149,149,148,150,149,150,149,150,151,150,151,152,151,153,153,153,154,154,156,156, 157,158,158,157,157,156,157,156,157,155,157,155,156,154,155,154,152,152,151,149,147,146,143,142, 138,137,134,134,132,130,129,128,128,128,129,130,129,131,131,133,133,135,136,136,137,139,139,142, 144,145,146,148,149,151,153,154,156,157,158,159,159,159,159,159,158,158,156,157,155,155,153,154, 152,152,152,151,151,150,151,151,151,150,151,150,150,149,146,146,143,142,140,138,136,134,132,132, 129,130,128,129,127,128,127,128,127,128,127,129,128,130,130,132,134,136,138,139,140,142,143,144, 145,145,144,145,144,144,142,142,140,140,139,138,136,137,135,135,135,134,132,133,131,131,129,130, 128,128,126,126,126,124,124,123,124,122,123,122,121,122,121,122,122,121,121,120,121,120,120,118, 118,117,115,115,112,112,110,110,108,109,108,109,109,109,111,111,113,112,114,113,114,113,114,113, 111,111,109,108,106,105,103,102, 98, 98, 94, 93, 91, 88, 86, 83, 82, 79, 79, 77, 77, 75, 76, 75, 77, 77, 78, 79, 80, 82, 84, 86, 88, 88, 91, 91, 94, 95, 96, 95, 97, 97, 98, 99,100,101,101,103, 103,105,105,107,107,109,110,111,112,111,113,112,114,114,114,113,115,114,116,115,116,117,116,117, 118,117,117,116,117,115,115,115,112,112,109,109,106,106,103,103,101,101,100, 99,101,101,101,102, 103,103,105,105,108,107,110,110,112,112,113,114,115,115,117,117,118,120,119,122,123,125,125,126, 127,128,129,130,132,132,134,134,136,136,139,140,141,142,143,145,146,145,147,146,148,148,147,146, 146,145,145,144,144,143,143,143,143,142,143,142,143,143,144,145,145,147,147,148,149,150,150,151, 152,151,153,152,155,154,156,155,157,157,156,157,156,157,156,156,154,155,152,153,152,151,150,149, 149,149,149,149,150,150,151,151,152,152,152,150,151,150,150,148,149,146,147,146,144,144,142,143, 141,141,139,139,138,136,136,135,134,134,133,132,132,132,133,133,135,135,138,139,142,144,146,148, 150,152,154,154,157,157,159,159,160,159,158,158,156,156,154,153,152,152,150,151,149,151,149,151, 150,151,149,150,149,147,148,145,146,144,144,143,142,141,140,140,138,137,137,135,133,133,130,129, 126,125,124,123,121,122,120,122,122,122,123,123,125,126,127,129,129,131,133,132,135,135,136,137, 139,138,140,139,141,141,140,141,139,140,139,137,137,135,134,133,130,130,126,126,123,122,120,118, 118,116,116,116,115,116,116,117,117,118,118,120,119,120,119,119,118,118,117,114,113,112,109,109, 106,107,105,105,103,104,103,105,103,105,105,105,107,107,109,109,110,111,111,113,113,113,113,113, 112,110,110,107,107,104,102, 99, 97, 93, 91, 89, 85, 84, 81, 81, 79, 77, 77, 76, 76, 77, 77, 78, 78, 80, 81, 83, 84, 86, 88, 90, 92, 94, 96, 99,102,103,106,107,110,110,113,113,115,115,115,116, 116,116,115,114,115,115,114,114,112,114,112,114,115,114,116,116,119,118,121,120,122,122,122,122, 121,120,120,117,116,113,112,109,107,105,103,102, 99,100, 97, 98, 96, 97, 96, 98, 97, 98, 98,100, 101,103,104,107,109,112,114,117,119,122,125,126,130,132,133,134,137,136,138,138,138,139,138,139, 139,140,139,140,139,140,140,140,140,140,140,139,140,141,140,141,141,141,142,141,143,143,143,144, 144,146,146,147,147,149,149,149,150,149,150,149,150,150,150,149,150,150,149,151,150,152,152,154, 155,157,158,158,161,160,162,162,162,162,161,162,161,159,160,159,157,158,156,156,155,153,153,151, 149,150,147,147,144,144,143,141,141,140,141,139,141,141,140,141,141,142,141,142,142,141,142,140, 141,140,139,140,139,139,138,139,137,139,138,140,139,141,141,143,143,146,146,148,148,149,149,150, 150,149,150,150,150,149,150,150,150,151,151,153,153,154,154,154,152,153,152,151,149,148,145,145, 142,141,139,138,137,135,135,133,133,131,131,130,130,129,129,129,130,129,132,131,134,135,136,136, 138,138,139,138,138,138,137,135,134,132,129,128,124,123,120,120,118,117,115,115,114,115,115,117, 118,121,123,125,129,131,133,136,138,140,141,141,143,142,142,140,140,138,136,133,131,129,125,122, 118,116,112,109,106,103,100, 99, 97, 97, 96, 97, 98, 99,101,103,104,108,110,113,116,117,121,123, 124,126,125,127,126,125,123,119,117,113,110,105,102, 98, 94, 91, 87, 85, 82, 81, 80, 79, 79, 78, 80, 81, 84, 85, 89, 91, 93, 97,100,103,105,106,108,109,110,109,107,106,102,100, 96, 92, 89, 84, 81, 77, 75, 72, 71, 70, 69, 71, 71, 74, 77, 81, 85, 90, 95,100,105,111,116,119,125,127,132,135, 137,140,140,142,141,142,139,139,135,134,129,127,123,118,115,111,108,104,102, 98, 97, 95, 96, 94, 96, 96, 99,101,103,106,109,112,115,116,120,120,123,123,124,122,122,120,118,118,115,114,111,110, 108,108,107,106,106,106,108,109,111,114,117,121,125,129,133,138,141,146,150,152,156,158,161,163, 162,163,161,160,157,155,150,148,143,139,133,131,126,125,121,120,118,119,118,121,122,125,129,131, 136,139,144,148,152,155,157,161,164,167,169,171,172,172,171,171,169,167,165,162,157,155,151,149, 146,142,141,139,139,138,140,141,141,144,146,150,153,154,158,159,162,163,165,165,167,166,167,165, 164,161,159,157,152,149,144,141,136,134,130,128,126,124,121,121,120,121,121,123,125,126,130,132, 136,141,144,149,152,157,161,165,167,169,169,170,168,167,163,161,156,153,148,145,140,138,133,132, 130,129,129,128,130,130,133,135,136,140,142,146,149,152,155,158,160,163,165,166,167,166,165,164, 159,157,152,149,144,138,134,129,123,120,115,113,110,107,107,107,106,108,109,112,114,119,122,126, 129,134,137,141,144,148,149,152,152,153,152,152,150,148,144,143,138,136,131,129,124,121,118,114, 112,109,107,107,106,108,109,111,114,118,121,125,130,133,138,140,145,146,149,149,150,148,147,144, 141,137,131,127,120,116,109,105, 99, 95, 91, 88, 85, 84, 83, 82, 84, 84, 88, 90, 94, 97,102,104, 110,113,118,121,123,126,128,129,128,127,124,122,118,113,109,104, 99, 94, 88, 84, 78, 75, 71, 69, 65, 65, 65, 64, 66, 67, 69, 72, 75, 77, 82, 85, 89, 91, 96, 98,102,105,106,109,109,111,110,111, 109,108,107,104,103,100, 99, 96, 95, 92, 92, 90, 90, 90, 92, 93, 94, 98,100,104,107,111,116,120, 123,128,131,133,137,137,139,138,138,137,133,132,128,126,122,119,114,112,108,104,102, 98, 97, 94, 94, 93, 93, 94, 95, 96, 98, 99,102,104,107,109,113,114,118,120,123,124,124,126,124,125,123,122, 121,119,118,116,114,114,112,113,113,113,115,116,120,122,126,130,133,138,141,146,150,154,156,159, 162,164,165,166,166,166,164,163,160,159,155,154,150,146,143,138,136,133,129,127,124,124,124,123, 126,126,130,131,136,138,143,147,150,154,157,160,162,165,166,168,168,169,167,168,165,165,162,161, 157,156,152,152,148,148,146,144,144,143,144,143,145,145,146,148,149,152,154,154,157,158,159,159, 161,160,161,159,157,154,150,147,142,138,132,127,123,119,116,112,111,110,111,111,114,116,120,123, 127,132,136,141,146,148,154,156,161,164,168,171,172,175,175,176,175,174,172,168,165,161,157,153, 148,145,140,138,133,132,129,129,128,127,128,128,130,130,133,134,137,138,142,142,145,146,148,148, 149,148,149,148,145,144,140,139,135,132,129,126,124,120,119,117,115,115,115,114,116,116,120,121, 125,128,132,136,139,144,147,151,154,157,159,161,161,159,158,157,152,150,144,141,134,131,125,121, 115,112,109,105,104,102,101,101,101,103,105,107,110,113,116,119,122,125,128,130,132,134,134,136, 135,135,134,131,129,125,123,118,115,110,107,103, 99, 95, 94, 91, 91, 90, 91, 90, 93, 94, 97, 98, 103,104,108,109,113,114,117,117,119,119,117,118,115,114,110,107,103,100, 94, 91, 85, 82, 77, 74, 70, 68, 65, 64, 63, 63, 64, 66, 68, 73, 76, 81, 86, 92, 96,103,107,113,117,122,125,128,129,131, 130,131,129,126,123,119,116,112,107,104,100, 98, 95, 94, 92, 92, 92, 93, 94, 96, 98,100,105,106, 111,114,119,122,125,129,130,133,135,135,136,135,135,134,130,128,125,120,117,111,108,103,100, 96, 94, 91, 90, 89, 89, 89, 92, 93, 96, 99,102,107,111,114,120,123,128,130,134,137,139,141,141,142, 140,140,138,138,134,133,129,128,124,122,118,117,115,113,113,111,113,113,115,116,120,123,128,132, 136,141,145,150,154,157,160,162,164,165,163,164,161,161,158,155,153,149,146,142,139,135,133,130, 129,126,126,125,127,128,129,131,134,136,141,143,148,150,155,157,161,165,167,169,169,171,170,170, 168,167,163,161,156,153,149,145,142,139,137,135,134,134,133,134,135,137,138,141,143,144,147,147, 150,151,151,153,153,155,156,155,156,156,154,155,152,151,148,145,144,140,138,135,131,130,128,127, 127,127,129,129,132,134,136,139,143,145,149,152,156,158,163,164,167,169,171,172,171,172,169,169, 165,163,158,156,151,148,142,139,134,132,128,126,123,122,121,119,119,118,120,121,122,124,125,129, 130,134,135,138,139,139,140,139,139,139,136,135,131,130,126,125,121,120,118,118,118,116,118,118, 121,121,125,126,129,131,135,136,140,142,143,146,147,150,150,150,151,150,149,149,145,144,140,138, 133,131,125,122,117,114,110,106,104,101,100, 99, 99, 98, 99, 99,102,103,104,107,109,112,115,116, 119,120,123,124,127,127,129,129,129,129,127,128,125,125,122,120,117,116,113,111,111,108,108,105, 106,103,104,102,104,103,104,104,104,105,105,106,104,105,104,102,101, 99, 97, 95, 91, 90, 86, 83, 80, 77, 75, 73, 72, 71, 71, 72, 72, 75, 77, 80, 83, 85, 90, 93, 96,101,104,108,111,116,119,122, 123,127,127,130,129,130,130,128,127,124,122,118,116,111,109,106,102,101, 98, 97, 96, 94, 95, 93, 95, 95, 97, 97,100,100,103,104,106,108,108,111,110,112,111,112,111,110,110,108,108,107,105,105, 103,103,102,102,101,103,104,104,106,108,110,113,116,118,123,126,131,135,138,143,147,149,153,154, 156,156,157,155,154,151,149,145,142,138,135,131,128,125,123,121,119,118,117,116,118,118,121,122, 126,129,133,137,141,145,150,154,159,162,166,169,170,173,174,175,175,174,173,171,167,165,160,158, 153,151,147,145,142,141,140,138,139,139,141,141,144,144,148,148,151,153,153,156,156,158,158,159, 158,160,159,159,157,157,155,154,151,147,145,141,138,134,132,129,127,124,125,123,123,125,126,129, 130,134,137,139,144,146,150,153,154,157,158,160,161,160,161,159,159,156,154,150,148,145,140,138, 134,132,128,128,126,125,126,125,127,127,131,132,136,137,141,144,148,150,155,157,160,162,163,165, 164,165,163,162,159,156,153,148,145,140,138,134,130,128,125,124,122,121,121,120,119,120,120,121, 122,123,124,126,127,129,131,132,133,135,135,137,137,138,137,138,136,136,134,132,130,127,125,123, 122,120,119,119,118,119,119,121,122,125,128,129,133,135,140,142,144,147,149,150,152,152,150,150, 147,146,142,140,135,132,126,122,116,112,108,104,100, 97, 95, 93, 92, 90, 91, 92, 93, 95, 97,101, 104,108,111,116,118,123,125,127,130,130,132,132,131,130,129,126,124,122,117,115,112,108,106,103, 100, 98, 97, 94, 94, 93, 92, 92, 91, 92, 91, 92, 91, 93, 92, 94, 93, 95, 95, 94, 95, 95, 95, 94, 94, 92, 91, 89, 88, 85, 84, 81, 79, 79, 77, 78, 77, 79, 79, 82, 84, 86, 91, 95, 99,104,108,113, 118,122,127,130,134,137,140,142,142,143,142,142,139,137,133,131,126,123,117,114,108,105,102, 97, 95, 91, 90, 87, 86, 85, 84, 85, 86, 88, 90, 92, 94, 98,100,104,107,109,112,113,115,116,116,117, 115,116,114,114,112,113,113,112,113,113,116,116,119,120,124,125,129,132,134,138,140,144,146,150, 151,155,156,157,158,158,158,157,154,153,148,146,142,137,134,129,125,121,118,115,112,111,108,109, 109,110,111,114,117,121,125,130,135,139,145,149,155,158,164,166,170,173,174,177,177,179,178,178, 177,174,173,169,167,163,159,156,151,149,146,142,141,139,139,139,139,141,143,143,147,147,151,151, 154,155,154,155,154,154,153,151,148,146,142,140,136,132,129,125,123,121,117,117,116,115,117,117, 120,122,126,129,134,137,143,148,153,156,161,164,168,170,173,174,174,176,175,173,172,168,166,162, 157,152,148,143,140,135,133,130,127,127,125,125,126,126,128,129,130,133,134,137,139,143,146,148, 151,153,155,157,157,159,158,159,156,156,153,152,148,146,142,140,135,134,130,129,127,125,125,124, 125,126,127,130,131,135,137,140,142,145,146,148,148,150,150,148,147,144,143,140,135,133,128,125, 120,117,112,110,106,105,103,103,102,103,105,105,109,111,115,117,122,125,130,134,138,140,144,147, 148,150,149,149,149,146,144,141,137,133,128,124,120,116,111,107,103,101, 97, 96, 95, 93, 94, 93, 95, 95, 98, 99,102,102,106,107,111,112,115,116,116,118,119,118,118,117,116,114,110,108,103,101, 97, 92, 90, 86, 84, 81, 80, 79, 78, 78, 78, 81, 82, 85, 87, 91, 94, 97,101,103,106,109,110,112, 112,113,112,112,110,109,106,104,100, 97, 94, 90, 88, 85, 84, 81, 82, 81, 81, 81, 84, 84, 88, 91, 94, 99,102,108,112,116,122,125,131,135,138,141,143,144,144,145,142,141,137,135,131,127,122,118, 113,110,105,103,100, 98, 95, 95, 94, 92, 93, 91, 93, 93, 95, 96, 99,100,103,106,108,112,115,116, 119,120,122,124,124,124,123,123,123,122,122,121,120,121,121,122,122,123,126,127,130,131,135,137, 141,143,147,149,152,155,157,160,161,162,162,162,161,158,157,154,152,148,146,143,139,136,133,128, 127,123,121,118,118,116,117,116,118,121,123,127,131,136,140,145,150,154,157,162,164,168,169,172, 172,172,172,171,171,169,168,166,165,163,161,160,158,157,156,153,153,152,150,150,149,149,149,148, 149,148,149,149,149,148,148,146,146,145,143,142,139,138,135,134,130,129,126,124,123,120,120,118, 119,119,119,121,122,126,128,132,135,140,144,148,152,156,160,164,166,171,173,176,177,179,180,179, 179,177,175,173,168,165,160,156,150,147,141,137,132,129,126,122,121,119,119,119,119,120,121,123, 124,127,129,132,133,136,137,139,139,140,139,141,139,140,138,138,137,137,136,135,135,134,135,134, 135,135,134,135,136,137,138,140,140,142,143,145,144,146,146,146,147,146,146,144,144,142,138,137, 133,130,126,123,119,116,112,110,107,105,103,102,100, 99,100, 99,101,101,103,105,106,110,112,116, 119,121,125,128,131,134,135,138,139,139,139,139,137,137,133,132,129,125,122,118,116,111,109,104, 102,100, 97, 96, 95, 94, 94, 94, 94, 95, 96, 96, 97, 96, 98, 97, 98, 96, 97, 95, 95, 94, 91, 90, 88, 87, 84, 84, 81, 82, 80, 81, 81, 81, 81, 83, 85, 86, 89, 90, 94, 97,100,102,106,108,112,113, 117,119,120,123,124,123,124,123,123,121,118,117,113,111,107,105,102,100, 97, 94, 93, 91, 91, 90, 91, 91, 92, 94, 94, 97, 98,101,102,106,108,111,113,117,119,123,125,128,129,131,131,130,131,128, 127,125,123,120,118,116,113,111,109,107,107,105,105,104,106,105,107,109,110,112,114,117,119,121, 124,126,129,130,132,133,133,132,133,131,131,129,129,127,126,126,124,124,123,124,124,123,125,125, 128,128,132,133,138,140,145,148,153,156,161,163,167,169,171,172,173,172,171,168,167,164,162,158, 155,151,149,146,144,140,138,135,134,131,130,129,127,128,128,127,129,130,133,135,137,141,143,148, 150,154,156,160,161,163,164,165,166,164,165,163,163,161,159,158,155,153,151,149,147,146,144,143, 142,142,141,142,141,143,143,144,144,145,145,146,146,147,146,146,145,143,143,141,139,137,134,133, 129,128,125,124,122,122,120,121,121,123,124,127,131,133,138,141,147,150,155,159,164,166,171,173, 175,176,178,177,177,175,174,171,169,164,162,158,154,150,146,140,137,132,129,125,123,118,117,114, 114,113,111,113,112,114,115,117,118,121,122,126,127,130,132,133,134,135,134,135,134,135,133,134, 132,133,131,132,130,131,130,131,131,131,133,132,135,135,137,138,139,141,142,144,145,146,146,147, 147,145,144,141,139,136,131,129,123,120,114,111,106,103, 98, 95, 93, 90, 88, 87, 86, 87, 88, 90, 92, 96,100,103,108,112,115,120,124,128,131,133,136,137,139,139,139,139,137,136,133,132,129,125, 123,119,114,112,107,104,100, 98, 94, 92, 89, 88, 86, 84, 85, 83, 84, 83, 85, 84, 86, 86, 88, 89, 88, 90, 89, 90, 89, 89, 88, 89, 87, 88, 86, 87, 87, 86, 88, 89, 90, 91, 94, 95, 99,101,105,107, 111,114,118,120,124,127,129,132,134,136,136,138,139,137,137,135,132,130,126,123,117,114,108,105, 101, 96, 93, 91, 88, 86, 84, 85, 85, 84, 86, 86, 89, 90, 92, 95, 99,100,105,107,111,114,116,118, 120,121,123,123,124,124,124,123,124,123,124,123,124,123,124,124,124,125,125,126,126,128,129,130, 132,134,136,138,138,141,141,143,144,143,143,141,140,138,136,133,131,128,127,124,123,120,120,120, 120,119,120,120,122,123,126,127,130,132,136,140,143,148,151,156,160,165,168,170,174,174,176,176, 174,174,170,169,165,162,157,155,149,147,142,139,135,133,131,128,128,126,127,127,128,128,131,132, 136,138,140,143,144,147,148,150,150,152,153,152,152,151,151,150,148,147,146,143,143,141,140,139, 138,138,137,139,139,139,142,142,145,146,149,151,152,155,156,158,159,159,159,158,158,156,155,153, 151,149,145,143,139,138,134,133,129,129,127,125,125,124,123,125,125,127,128,131,134,136,140,143, 148,151,154,159,161,164,166,168,169,169,167,167,164,163,159,155,152,148,144,139,136,131,128,124, 123,120,119,117,117,116,115,117,117,119,119,122,124,125,128,130,131,133,134,133,134,134,134,132, 132,130,129,128,125,125,122,122,120,121,121,121,121,122,124,124,127,128,131,134,135,138,140,143, 145,146,146,147,145,145,142,141,137,135,131,128,123,119,115,110,107,103,100, 96, 95, 92, 90, 89, 87, 87, 87, 88, 89, 92, 93, 97, 99,103,106,111,115,118,122,124,128,129,130,131,130,131,129,128, 124,123,120,117,113,108,106,102, 99, 96, 94, 91, 90, 88, 87, 87, 86, 87, 88, 88, 90, 90, 93, 93, 96, 96, 98, 98, 99,100,100,100,100, 99, 97, 97, 96, 93, 93, 91, 90, 89, 89, 88, 89, 89, 92, 94, 95, 99,103,106,111,115,118,123,126,131,133,137,138,140,142,142,143,142,141,139,137,134,130,127, 122,118,114,110,105,101, 97, 94, 90, 89, 86, 85, 85, 83, 84, 84, 86, 87, 88, 92, 94, 99,102,106, 110,113,117,120,124,126,128,130,131,131,133,132,133,132,133,134,134,133,135,134,136,135,136,137, 136,137,138,139,138,140,140,142,142,144,145,147,147,147,148,147,146,144,143,141,137,136,132,130, 127,123,122,120,118,118,116,118,118,120,122,123,127,128,133,136,141,144,149,152,157,160,164,166, 169,170,172,172,172,171,171,170,168,167,164,162,158,156,153,150,147,145,143,140,138,136,135,133, 132,132,132,132,133,133,134,134,137,137,138,138,140,139,141,141,141,140,141,140,141,140,140,138, 139,137,138,137,139,139,138,140,140,141,142,144,144,147,148,151,152,155,157,159,161,162,164,164, 164,164,162,161,159,157,154,150,147,143,140,136,133,129,128,124,123,121,120,121,120,121,121,124, 126,127,129,132,134,138,139,143,144,148,148,151,152,154,153,154,153,153,152,150,149,147,146,143, 142,139,137,135,134,131,131,128,128,127,126,126,125,126,126,126,127,128,128,129,128,130,129,128, 129,127,128,127,125,124,122,122,120,120,118,117,118,116,117,116,117,116,117,117,119,120,121,122, 125,126,129,130,133,134,137,137,139,140,139,140,138,138,135,133,131,126,124,119,117,113,108,106, 102,100, 97, 95, 92, 92, 91, 89, 90, 90, 92, 92, 94, 95, 98, 98,101,102,105,106,108,108,109,110, 110,111,110,111,110,109,109,107,106,104,104,101,101,100, 98, 98, 96, 97, 96, 97, 98, 97,100,100, 102,102,104,104,106,107,106,107,107,107,106,106,105,105,103,103,101,101,101, 98, 98, 98, 96, 96, 95, 96, 97, 97, 97, 99,100,103,104,108,109,113,115,119,122,124,128,130,133,134,135,137,136,137, 135,134,131,130,126,123,118,116,111,109,105,103, 99, 98, 97, 94, 95, 94, 94, 93, 95, 95, 98, 99, 102,104,108,111,113,117,119,124,126,128,132,132,135,135,137,136,137,136,137,136,135,136,135,136, 136,137,138,138,140,140,142,142,144,145,147,148,148,150,150,152,151,152,151,152,150,150,149,148, 145,144,142,141,139,136,135,132,131,129,127,126,125,124,124,123,125,126,126,129,130,134,136,141, 145,149,153,156,159,163,164,167,168,170,171,171,171,170,168,168,166,162,160,156,154,151,147,145, 141,140,136,135,132,132,130,130,129,130,130,131,131,133,133,135,136,136,138,138,137,138,137,137, 137,136,135,134,133,133,132,133,132,133,133,135,135,137,139,140,143,145,148,150,153,154,157,158, 161,163,163,165,164,165,165,163,163,160,159,157,155,151,149,144,142,137,134,131,126,124,120,119, 117,115,114,113,114,113,115,115,118,119,123,125,128,130,134,136,139,141,144,145,147,147,148,147, 148,146,146,145,143,143,140,139,137,136,134,133,131,130,129,129,127,128,127,129,129,130,130,131, 131,132,132,133,131,132,130,130,127,126,124,120,118,115,113,111,108,107,104,104,102,103,102,103, 103,105,106,109,110,114,115,119,122,124,127,129,132,134,136,136,138,137,138,137,136,133,132,129, 128,123,121,118,113,110,107,102, 99, 95, 93, 90, 87, 86, 84, 84, 83, 85, 85, 87, 87, 90, 91, 93, 93, 96, 96, 98, 99,100,100,101,101,102,103,103,103,102,103,101,102,101,101,101, 99,100,100,101, 102,102,105,105,108,110,112,113,116,117,119,121,121,123,123,124,123,123,121,120,119,116,114,112, 108,106,102,101, 98, 97, 94, 94, 93, 94, 93, 95, 97, 97,101,102,106,107,111,114,116,120,123,125, 127,130,131,133,133,135,135,134,134,131,131,129,126,123,122,119,118,115,114,114,113,113,113,113, 114,115,115,117,119,121,122,123,126,128,128,131,132,134,134,136,136,137,137,136,137,135,136,134, 135,133,132,132,131,132,131,132,132,133,133,136,137,140,141,145,148,150,154,156,158,160,162,162, 164,162,163,162,159,158,154,152,148,146,141,139,136,133,129,128,124,124,121,122,122,121,123,124, 127,129,131,135,138,140,145,148,151,155,156,160,161,163,163,165,164,164,162,162,159,158,155,154, 151,150,146,145,142,142,139,139,137,137,137,136,137,136,137,137,139,139,140,140,142,142,143,143, 144,144,143,144,142,143,142,141,140,139,137,136,134,134,133,132,132,132,133,134,136,138,139,142, 144,148,150,154,156,160,162,164,166,166,168,167,167,166,163,162,159,156,152,148,144,140,135,132, 127,124,120,118,114,113,111,111,109,110,110,111,112,114,117,118,121,123,126,128,131,132,135,135, 137,138,138,137,138,137,137,136,135,134,133,131,131,130,130,128,129,128,128,128,128,129,128,129, 130,129,131,131,131,131,131,130,130,128,128,126,126,124,122,118,117,113,112,108,107,103,102,100, 97, 97, 95, 95, 94, 95, 95, 98, 98,102,105,108,110,115,118,122,124,128,130,133,135,135,136,136, 134,134,131,130,127,124,122,119,115,111,108,103,100, 98, 94, 92, 88, 87, 85, 85, 84, 84, 85, 86, 86, 88, 90, 90, 93, 93, 96, 96, 98, 98,100,100,101,101,102,101,102,101,102,101,102,101,103,102, 104,104,106,106,109,110,114,115,118,120,123,125,126,129,130,131,132,133,133,133,133,131,131,129, 127,125,123,119,117,113,111,106,104,101, 97, 95, 92, 92, 90, 91, 90, 92, 92, 95, 97, 98,102,104, 107,109,112,116,118,122,124,127,129,132,133,135,136,137,137,137,136,137,136,135,134,131,131,129, 129,128,126,127,125,125,127,126,128,127,129,129,131,131,133,133,134,135,135,133,134,132,132,131, 129,129,127,127,127,126,126,126,125,126,128,127,130,131,133,136,137,141,142,146,148,151,152,156, 157,160,160,163,162,164,163,164,162,162,161,158,157,155,152,150,147,145,142,140,137,136,134,131, 131,129,129,129,129,129,130,130,131,133,134,135,137,138,140,141,143,145,146,146,148,148,149,150, 149,150,149,149,148,148,146,146,144,144,144,143,143,143,142,143,143,145,145,146,147,147,149,149, 150,151,149,150,148,148,146,146,144,141,140,138,137,134,133,131,131,128,129,127,128,126,128,128, 130,130,133,135,136,139,140,143,145,147,149,151,153,154,155,156,155,156,155,155,153,151,151,148, 147,144,142,139,137,133,132,129,126,125,122,122,119,120,118,119,117,118,117,119,119,119,120,121, 121,123,123,125,125,126,126,127,128,127,128,127,128,126,127,125,126,125,126,124,125,124,125,124, 126,125,127,128,128,129,129,131,131,132,132,132,131,131,129,129,126,125,123,119,118,114,113,110, 109,106,105,102,102,100,100, 98, 98, 98, 98, 98, 99, 99,101,103,103,107,107,111,112,114,117,118, 120,120,122,122,122,123,122,121,121,119,119,117,115,114,111,110,107,106,104,103,101,101, 99, 99, 97, 98, 97, 98, 98, 99, 99, 99,100,100,101,101,102,103,103,104,104,105,105,106,105,106,106,107, 107,106,107,107,108,108,108,110,111,113,114,116,117,121,122,125,127,128,130,131,133,132,134,133, 134,132,132,130,130,127,127,124,121,120,117,115,112,110,106,105,101,101, 98, 98, 97, 96, 98, 97, 99,100,103,104,107,110,112,116,118,122,124,127,129,132,133,136,137,139,140,141,142,141,143,142, 143,142,142,141,141,140,140,139,138,138,136,137,135,136,134,136,134,136,134,136,136,135,136,135, 136,136,135,135,134,134,133,133,133,132,132,131,130,130,129,129,128,129,129,130,132,132,135,137, 138,141,142,146,147,150,152,155,157,158,160,161,161,162,162,162,160,160,158,157,154,152,151,147, 145,141,139,136,133,132,129,128,127,125,125,124,125,125,126,126,128,129,129,132,132,134,134,136, 137,137,139,140,140,142,142,143,144,143,145,144,146,146,145,146,145,146,145,147,147,146,147,147, 147,148,148,149,148,149,148,148,149,148,149,147,148,146,145,144,142,141,139,138,135,134,132,129, 129,126,125,125,123,123,123,122,123,123,125,126,128,129,132,134,135,138,140,142,142,145,146,146, 148,148,149,148,148,146,146,144,142,140,137,136,132,131,129,126,125,123,122,120,120,120,118,119, 118,117,118,118,119,118,119,120,120,120,120,119,120,119,120,120,120,118,120,118,120,119,120,119, 121,121,120,122,122,123,123,122,123,123,124,125,126,126,127,127,129,129,130,129,130,129,128,128, 127,124,124,120,120,116,115,112,110,107,105,102,101, 98, 98, 95, 95, 93, 94, 93, 94, 93, 95, 96, 96, 99, 99,102,104,104,107,107,110,111,113,113,115,115,117,116,118,116,117,115,116,114,114,113, 111,112,110,110,108,110,108,110,110,109,111,110,111,112,111,112,111,112,111,112,112,112,111,111, 110,111,110,111,110,110,109,110,109,109,109,110,109,111,110,112,113,115,116,119,120,123,124,127, 127,130,130,132,132,133,133,134,134,132,132,130,130,127,127,125,122,120,119,116,116,113,113,112, 110,110,108,109,108,110,109,111,111,114,114,117,118,121,124,125,128,130,132,135,136,138,139,140, 141,142,142,142,142,141,141,140,140,139,139,138,138,139,139,139,140,139,141,141,142,143,144,144, 145,145,144,145,144,144,143,143,141,141,139,138,137,134,134,131,131,128,128,127,126,125,126,125, 126,126,128,129,132,133,136,137,140,143,144,148,150,151,153,154,156,155,157,156,157,155,156,153, 154,151,150,147,147,143,142,139,138,135,134,131,130,128,128,126,126,125,125,126,125,127,126,128, 128,130,131,133,133,135,135,137,138,137,139,138,140,139,140,140,139,140,139,140,140,140,142,141, 142,144,144,146,146,149,148,151,151,152,153,152,154,152,153,152,150,150,148,147,145,143,141,138, 135,133,130,128,126,122,121,119,118,118,116,117,117,117,118,119,121,122,123,126,126,129,130,133, 135,136,138,138,140,140,142,141,143,142,142,141,141,139,139,137,136,134,134,132,131,129,129,128, 126,126,124,124,123,122,120,121,121,121,121,120,121,121,121,120,120,119,118,118,116,116,115,114, 113,112,111,111,111,111,112,112,112,114,114,116,116,119,119,122,122,125,126,129,128,131,131,132, 131,132,130,131,130,127,127,124,123,120,118,114,113,110,107,105,102,100, 98, 97, 95, 94, 93, 93, 91, 93, 92, 94, 94, 97, 97,100,101,101,103,104,106,107,108,110,111,111,113,113,115,115,115,117, 116,117,117,118,117,118,118,117,118,118,117,119,118,119,118,120,119,121,120,121,120,121,121,120, 120,118,118,116,117,114,115,112,111,110,109,108,107,107,106,105,106,105,106,106,108,108,110,112, 112,115,115,119,120,122,125,126,128,129,131,133,133,135,135,135,136,134,135,134,133,131,130,128, 128,125,126,123,124,122,122,122,121,122,121,122,122,122,124,124,124,126,125,127,126,128,127,129, 129,129,131,131,131,132,132,132,134,133,135,134,136,135,137,138,138,140,141,141,143,143,145,146, 146,148,147,149,148,149,148,149,148,148,146,146,145,144,142,142,140,138,137,136,133,133,131,130, 128,128,127,126,126,125,126,126,126,126,128,128,131,131,134,135,138,139,141,143,144,146,147,148, 148,150,150,149,150,149,148,148,146,146,144,142,142,140,140,138,138,136,135,136,134,135,134,134, 134,133,134,133,134,134,133,134,132,133,132,133,132,133,132,133,133,133,134,133,134,133,135,135, 135,137,137,139,140,141,141,144,145,146,147,147,149,149,150,149,150,149,150,150,149,148,148,146, 145,143,143,140,139,136,135,133,131,129,127,125,123,122,121,120,119,118,117,118,116,118,117,119, 119,121,122,123,124,126,127,129,130,131,134,133,135,134,136,135,135,135,135,133,133,132,132,132, 131,131,131,130,130,129,129,128,128,127,126,126,124,125,124,123,123,121,121,120,119,119,117,117, 115,115,113,113,112,112,111,110,111,109,110,111,110,112,111,113,113,115,114,117,117,120,120,122, 123,124,125,125,127,126,127,127,126,126,124,124,122,122,121,118,118,115,115,113,112,109,108,105, 105,103,101,101, 98, 99, 97, 99, 97, 99, 98,101,101,102,104,104,106,107,108,110,110,112,112,114, 114,116,116,118,118,119,119,121,120,122,121,123,123,124,123,125,124,126,125,126,125,127,126,126, 126,125,125,125,124,124,123,122,122,120,120,118,116,115,113,112,110,109,109,106,107,105,106,106, 105,107,106,108,108,111,112,114,114,118,118,121,123,124,127,128,130,132,133,135,137,136,139,138, 140,139,140,139,140,138,138,136,136,134,134,132,131,130,129,128,127,126,126,125,125,124,125,124, 125,125,125,127,126,128,129,129,130,130,131,131,133,132,134,133,134,135,135,137,136,137,139,139, 140,140,142,143,143,144,145,146,146,148,147,149,150,150,150,149,150,148,149,146,147,145,144,141, 140,138,136,135,132,131,129,128,127,125,126,124,125,124,124,125,124,126,125,127,128,129,130,132, 132,134,136,137,138,140,141,142,143,144,145,145,146,146,147,146,145,146,144,144,143,142,142,140, 140,139,138,138,136,137,135,136,134,135,135,134,135,133,135,133,134,133,134,133,134,132,133,131, 132,130,131,130,130,130,129,129,129,128,130,130,131,131,133,134,135,137,137,138,140,140,143,142, 145,145,146,145,147,146,146,144,144,142,141,139,136,134,132,130,127,126,123,123,120,121,118,119, 116,117,115,116,114,115,114,116,115,117,116,118,119,121,122,123,125,126,126,128,129,129,131,130, 131,131,131,131,130,131,130,131,129,130,128,128,126,127,126,125,125,125,124,124,123,124,122,123, 122,122,122,121,120,119,119,116,116,114,114,112,112,111,109,109,107,106,106,105,105,106,104,106, 106,106,108,108,110,111,114,116,118,118,121,121,124,123,125,125,125,125,124,124,124,122,122,121, 119,119,116,116,114,114,112,111,109,109,107,108,106,107,107,106,107,107,108,108,109,109,111,111, 113,114,114,116,116,117,117,119,119,118,120,119,120,119,120,120,121,121,122,122,123,123,124,124, 125,126,125,127,126,128,127,128,128,128,127,128,128,126,127,124,125,124,123,120,120,117,117,114, 113,111,111,109,109,107,108,108,107,109,109,110,112,113,116,118,120,123,125,128,130,133,135,136, 139,140,142,142,143,144,144,144,142,143,140,141,138,138,136,136,135,134,133,132,131,131,130,129, 130,129,130,129,131,131,132,132,133,133,134,134,133,134,133,134,133,132,133,131,132,131,131,130, 131,131,132,132,133,133,134,135,135,137,137,139,139,142,142,144,145,146,146,147,148,148,149,149, 148,148,147,146,144,144,141,139,138,135,133,130,129,126,125,123,121,119,119,119,117,118,117,119, 120,120,123,123,126,127,130,132,133,135,137,138,140,140,142,142,143,142,143,143,143,142,142,141, 141,141,139,140,138,139,138,139,138,139,139,138,139,139,138,139,139,139,139,139,138,137,138,136, 136,134,134,133,132,129,129,127,126,125,124,124,123,123,123,123,124,124,126,126,128,128,130,131, 133,133,136,136,139,140,142,141,144,143,145,144,145,144,144,143,141,140,138,135,134,131,130,128, 124,124,121,120,118,118,117,115,115,114,115,116,115,117,117,118,120,119,122,122,124,124,125,126, 127,127,126,127,126,127,126,126,126,126,126,125,126,126,126,127,126,127,127,127,128,127,129,128, 130,129,130,129,130,129,130,128,128,126,125,122,122,119,118,116,113,112,110,109,108,106,105,104, 104,102,103,102,102,103,102,104,103,106,107,108,110,112,114,116,117,119,120,122,124,124,126,125, 127,126,127,125,126,124,125,123,123,122,120,120,118,119,118,116,116,116,114,115,114,115,114,115, 115,115,115,116,115,116,116,116,117,116,116,115,116,115,115,115,115,114,115,114,115,115,116,115, 117,118,118,120,120,122,124,124,126,127,129,129,131,130,132,131,131,132,132,131,130,129,127,126, 124,124,121,121,120,117,117,115,115,114,114,114,114,114,114,115,115,117,117,119,120,121,122,124, 125,128,129,130,132,132,135,134,136,137,136,137,138,137,138,138,137,138,137,138,137,138,137,138, 137,138,137,138,138,137,138,136,137,136,137,137,136,137,137,135,136,135,134,134,133,132,131,131, 128,128,126,127,125,125,124,125,124,124,125,125,127,128,128,130,131,134,135,136,139,140,142,143, 145,145,146,146,147,145,146,145,143,142,140,139,137,135,135,132,132,129,129,128,127,126,125,124, 124,124,123,124,123,125,125,126,126,128,128,130,130,130,132,132,134,133,135,136,136,137,137,138, 138,139,138,139,138,140,139,140,140,141,141,141,141,142,142,142,142,142,142,142,141,141,140,140, 139,139,138,138,138,137,135,135,133,131,130,128,127,125,124,122,121,120,120,118,119,118,119,120, 121,122,123,124,125,127,129,130,132,133,134,136,136,138,138,139,139,140,140,138,139,137,137,135, 135,134,132,132,130,130,129,127,127,126,124,124,122,123,122,121,121,120,121,121,120,121,120,121, 121,122,121,122,122,122,122,121,122,121,122,121,123,123,122,124,123,125,125,126,125,127,126,128, 127,128,128,129,129,129,129,130,129,130,130,130,129,129,128,127,125,125,123,122,120,118,117,114, 113,111,110,108,108,106,106,105,105,105,104,105,105,107,107,109,109,112,112,115,116,118,119,121, 122,124,124,126,126,128,127,129,128,129,129,128,128,127,127,125,126,125,123,123,122,121,121,120, 120,119,120,118,119,118,119,118,118,117,118,116,117,116,115,115,114,115,113,114,113,113,112,113, 112,113,112,113,113,113,114,114,116,116,118,119,119,122,122,124,126,127,128,130,131,132,133,134, 134,135,136,135,136,134,134,132,132,131,130,129,127,126,124,122,122,120,119,118,118,116,117,116, 117,116,117,117,119,119,121,122,124,126,128,128,131,131,133,134,136,135,137,137,138,139,139,138, 139,138,139,138,139,138,138,139,138,138,138,137,137,138,137,138,137,137,138,136,137,135,136,134, 135,132,133,130,131,129,129,128,126,126,124,125,123,124,124,123,123,123,124,124,123,125,125,127, 127,129,131,132,133,135,137,137,140,140,142,141,144,143,144,143,144,143,143,142,140,140,138,138, 136,134,132,131,129,129,126,126,126,124,125,124,125,124,125,125,126,126,128,127,129,129,131,131, 133,133,134,134,135,135,136,135,136,135,135,135,135,135,134,136,135,136,135,137,136,138,138,139, 139,140,139,140,140,139,140,138,139,138,138,137,136,135,133,132,130,130,127,127,124,123,123,121, 120,119,118,119,118,117,117,117,118,119,118,120,120,123,123,125,128,128,131,132,134,134,137,137, 139,138,139,138,139,138,138,137,135,136,134,132,132,130,130,128,127,125,125,123,123,122,121,121, 120,121,122,121,122,122,122,123,123,122,123,122,123,122,121,122,120,121,119,120,120,119,120,119, 120,119,120,120,121,122,122,123,124,124,126,127,127,128,128,129,129,129,130,128,129,128,128,127, 125,125,123,122,120,120,117,117,115,115,112,112,110,110,109,108,108,107,108,109,108,110,110,112, 113,115,115,117,119,119,122,121,123,124,124,126,126,127,127,128,127,128,126,128,126,127,126,124, 124,123,123,122,122,122,120,121,120,121,120,120,121,119,121,119,120,120,120,119,119,117,117,116, 114,115,113,113,112,111,111,111,110,111,110,112,111,113,113,116,116,119,119,122,123,126,127,130, 131,134,136,136,138,138,140,140,140,140,140,140,139,137,137,136,134,132,131,130,127,127,125,125, 124,122,122,122,120,121,120,122,121,123,123,123,125,124,126,127,128,129,130,131,131,133,134,133, 135,136,135,137,137,136,137,137,138,137,138,138,137,138,138,138,138,137,138,138,138,138,138,137, 139,138,137,138,137,137,136,134,134,133,131,131,129,127,127,125,124,123,121,121,120,120,119,119, 118,120,119,121,122,124,124,127,127,130,131,133,134,136,138,137,140,139,141,141,142,142,143,143, 141,142,140,141,139,139,137,137,136,135,135,134,132,133,131,132,130,131,131,130,129,129,129,129, 129,128,127,128,127,128,127,128,127,129,128,129,130,130,130,131,131,131,132,131,132,132,133,133, 135,135,136,136,138,138,139,138,140,139,141,140,142,140,141,141,139,140,138,138,136,134,133,131, 130,127,126,124,123,121,121,119,119,119,118,118,117,118,118,119,119,120,120,122,122,124,125,126, 128,128,130,130,132,132,132,133,132,133,132,133,132,133,132,133,132,133,131,132,132,131,131,130, 130,129,128,128,126,127,125,125,125,123,123,121,122,120,120,118,119,118,118,117,116,116,115,116, 114,115,115,116,115,115,115,115,116,117,116,118,118,118,120,120,122,123,123,125,126,126,128,127, 129,128,128,128,127,128,128,126,126,124,124,123,123,122,121,120,118,118,115,116,114,114,113,112, 112,112,113,113,112,113,113,114,114,115,115,116,117,116,118,118,118,120,120,120,122,121,123,122, 124,124,125,125,126,125,126,127,126,127,126,127,127,126,126,125,126,124,124,123,123,122,122,120, 121,119,120,118,119,117,117,116,117,116,115,116,115,116,115,117,117,118,117,119,118,119,121,121, 123,124,126,126,128,129,130,131,133,132,135,134,136,135,136,137,136,137,137,136,137,135,136,136, 134,134,133,133,132,131,131,130,130,128,129,127,128,128,126,127,127,127,126,127,127,128,127,128, 128,129,128,129,128,129,130,130,131,132,132,133,133,134,134,135,134,136,135,137,136,138,137,139, 138,139,138,139,138,139,138,136,137,136,135,134,133,131,131,130,130,129,127,127,126,125,125,124, 124,122,123,123,121,122,121,123,122,124,123,125,126,126,128,129,129,131,131,133,134,134,136,136, 138,138,140,140,142,141,143,143,142,143,142,143,142,140,140,139,139,137,137,136,136,134,134,133, 133,131,132,130,130,129,128,128,127,128,126,127,126,126,125,126,125,125,126,125,126,127,126,128, 127,129,130,130,132,132,134,134,135,135,137,136,138,138,137,138,139,137,139,137,138,138,137,137, 136,136,134,134,133,131,131,130,128,128,126,127,124,125,123,123,121,122,121,121,120,119,120,119, 120,119,121,120,122,121,123,123,125,125,127,126,129,128,130,131,131,132,133,132,133,133,133,133, 133,132,132,132,131,131,130,130,130,128,128,127,127,125,126,124,124,122,123,120,121,119,119,118, 117,117,115,115,115,115,113,114,114,113,113,113,113,114,114,113,115,114,116,116,118,118,120,120, 122,122,124,125,126,125,127,127,128,127,129,129,129,129,128,128,128,127,127,126,125,124,123,122, 121,121,118,119,116,117,116,115,114,114,112,113,112,112,111,112,113,112,114,113,115,114,116,117, 117,117,119,118,120,121,121,120,121,121,122,122,121,123,122,122,123,122,123,122,123,124,123,124, 123,123,124,123,124,123,123,124,123,124,123,124,123,124,122,123,122,122,122,122,121,121,120,120, 120,119,120,119,120,120,120,122,121,123,123,125,125,127,128,128,131,131,132,133,134,135,135,137, 137,137,138,138,139,139,139,138,138,138,138,137,135,136,134,133,133,132,130,130,129,129,128,127, 127,125,126,126,125,125,126,125,126,125,127,126,128,127,129,129,129,130,129,131,130,132,132,132, 132,133,132,133,133,134,134,135,134,135,135,136,135,136,137,135,137,135,137,136,135,135,135,134, 134,134,133,133,131,131,130,129,127,128,125,126,126,125,125,125,126,126,127,127,128,129,129,130, 130,131,133,132,135,134,136,136,138,138,138,139,140,139,140,139,140,140,138,139,138,139,137,138, 136,137,135,136,134,135,133,133,132,132,131,131,130,130,129,130,129,129,129,128,129,128,129,128, 127,128,126,127,127,126,127,127,126,127,126,128,127,129,128,130,130,131,131,132,134,133,135,134, 137,136,138,137,138,137,138,137,137,136,136,134,134,133,130,130,127,127,126,124,124,122,122,121, 120,120,120,120,120,120,120,121,122,121,123,122,124,123,125,126,125,127,126,128,128,129,128,129, 128,129,129,129,129,129,128,129,128,128,127,128,126,127,126,126,126,125,126,124,126,124,125,124, 125,123,124,122,122,122,121,121,120,118,118,117,117,115,114,115,113,114,112,113,112,113,112,113, 114,114,116,116,118,119,120,121,122,124,126,126,128,128,130,129,131,131,131,131,130,130,129,128, 127,126,124,124,121,121,119,119,118,116,116,115,115,114,115,113,114,113,115,114,114,115,115,114, 115,116,115,116,115,117,116,117,116,118,116,118,117,118,117,119,119,118,120,119,121,122,122,123, 124,125,125,127,127,129,129,130,130,132,131,132,132,132,132,132,131,130,130,128,128,126,126,125, 123,123,122,121,121,119,120,119,119,118,119,119,120,121,122,121,124,124,127,127,130,130,133,134, 135,137,137,139,139,141,140,141,140,141,139,141,139,139,138,138,135,135,133,133,132,131,131,130, 131,129,130,129,130,129,130,130,129,130,129,130,129,130,129,130,128,129,128,127,127,127,126,127, 125,126,125,125,125,126,125,126,126,127,127,129,129,131,132,133,134,135,136,137,138,137,139,138, 140,140,139,140,139,139,138,137,137,137,134,135,132,133,130,130,128,128,126,127,126,125,126,124, 126,124,126,126,126,127,127,129,130,130,132,133,134,135,135,136,136,137,136,138,136,137,136,137, 136,136,135,135,134,135,133,134,133,134,133,133,133,133,134,132,134,133,134,133,134,133,133,133, 132,131,131,130,130,130,127,128,126,126,124,125,123,124,122,123,122,123,123,124,124,124,126,125, 128,127,129,129,130,131,131,132,133,134,134,135,134,134,135,134,135,134,134,133,133,131,131,131, 129,129,128,126,126,124,124,123,121,121,121,119,120,119,120,119,121,120,122,121,122,123,122,124, 124,123,124,124,125,125,124,125,123,124,123,124,122,123,122,122,122,121,122,121,122,121,122,121, 123,123,122,123,123,123,123,124,123,124,123,123,122,123,121,122,121,120,119,118,118,118,116,117, 116,115,115,114,115,114,115,115,115,116,116,117,117,118,120,119,121,122,122,123,124,124,126,125, 126,126,127,126,127,127,127,126,126,125,123,124,122,122,119,120,118,117,117,115,116,114,114,115, 114,115,114,114,116,115,117,116,118,117,119,118,120,119,119,121,120,122,121,122,121,123,122,124, 124,124,123,125,124,125,126,126,126,127,128,128,130,129,131,131,132,133,133,134,133,134,133,134, 134,132,133,131,131,131,129,130,129,127,127,127,125,125,124,125,124,124,125,125,126,125,127,127, 129,128,131,130,133,133,134,134,136,136,138,138,139,138,139,140,139,140,138,139,137,138,137,135, 135,134,134,132,132,131,131,130,131,129,129,129,129,129,129,129,129,129,129,130,129,130,129,129, 129,129,129,130,129,129,128,127,128,127,127,127,126,127,127,126,127,126,128,128,130,129,132,131, 134,134,135,136,137,138,139,139,140,140,140,140,140,139,138,138,136,136,133,133,132,130,129,129, 127,127,125,125,124,125,125,123,125,125,126,124,126,127,127,128,129,129,131,131,132,132,133,133, 134,135,133,135,134,134,134,133,134,133,133,132,133,131,132,131,132,131,131,131,130,131,131,131, 130,131,130,131,131,131,130,131,131,130,130,129,129,129,127,127,125,125,123,123,122,121,119,120, 118,119,119,118,119,118,121,120,123,123,125,126,128,130,130,132,133,135,134,136,136,136,136,135, 135,135,134,134,131,132,130,129,128,125,125,123,123,121,121,119,120,118,120,118,120,118,120,120, 119,120,120,121,121,122,123,123,123,124,123,124,123,124,122,123,121,122,120,121,120,120,120,119, 120,118,120,119,119,120,120,121,121,123,123,124,125,126,126,128,127,129,128,129,128,128,128,127, 126,125,124,124,121,121,118,118,115,115,114,113,113,111,112,112,113,112,114,113,116,116,118,119, 120,122,123,125,126,126,127,127,128,129,128,129,127,128,127,126,125,124,123,122,122,120,120,119, 118,118,117,117,117,117,117,118,118,119,120,121,122,123,124,125,124,125,126,126,127,126,127,127, 125,127,126,126,125,125,124,124,124,124,123,124,123,124,124,125,126,125,128,127,130,131,131,133, 134,135,136,137,138,139,138,139,138,140,138,139,137,136,136,134,133,133,131,129,129,127,127,125, 126,125,124,125,125,125,126,127,128,129,130,131,131,133,134,135,135,136,135,137,137,138,137,137, 136,136,135,134,133,132,132,130,130,128,129,127,128,126,128,127,127,128,129,128,128,129,129,130, 130,131,131,132,131,132,131,132,130,131,129,130,128,129,127,126,126,125,125,124,125,124,126,125, 126,127,127,128,129,130,131,132,134,133,136,135,137,137,139,140,140,140,140,139,139,139,138,137, 135,135,133,131,131,129,129,127,127,126,125,124,125,123,125,124,124,125,125,126,126,128,129,130, 131,132,132,133,133,134,133,135,133,134,133,132,132,131,131,130,130,128,129,127,128,127,128,127, 129,127,129,128,130,129,131,131,132,131,133,133,132,132,132,132,130,130,128,129,126,127,124,125, 122,123,122,120,120,119,120,118,119,118,120,119,121,120,122,122,124,124,126,126,128,128,130,130, 132,132,133,133,133,133,133,133,132,131,130,129,128,127,125,125,123,123,121,121,119,119,119,117, 119,117,119,119,119,120,119,121,120,122,121,122,122,123,121,123,121,121,121,120,120,120,118,119, 118,117,118,116,117,117,117,118,119,118,120,121,122,122,124,124,126,126,127,127,128,128,129,128, 129,128,128,127,127,126,125,124,123,121,121,120,118,116,117,115,115,114,113,113,113,113,114,114, 114,115,116,117,118,119,120,120,122,122,124,124,125,125,126,127,125,127,126,125,125,124,124,123, 124,122,123,122,123,121,123,121,123,122,124,124,124,125,127,126,128,129,128,130,129,131,131,131, 131,131,131,131,130,129,128,128,127,127,125,125,124,124,123,122,123,122,124,123,125,125,128,128, 129,131,132,134,136,136,138,138,140,140,141,142,140,142,140,141,138,139,138,136,136,135,132,132, 130,130,128,128,126,126,125,125,126,124,126,125,127,127,127,129,129,130,130,131,131,133,133,133, 132,134,132,134,132,133,132,131,131,130,130,129,129,129,128,128,128,128,128,128,130,128,131,130, 131,132,132,133,133,134,134,135,135,135,135,135,135,135,133,134,133,132,131,130,128,128,126,126, 125,125,124,124,125,123,125,124,127,126,128,128,130,131,131,133,133,135,135,136,138,137,138,139, 139,139,138,138,136,137,134,135,134,132,132,130,130,129,128,128,127,127,127,127,126,127,127,128, 127,127,129,128,130,130,130,130,131,131,130,131,129,131,129,130,129,128,129,128,128,127,127,127, 127,127,127,125,127,125,127,126,127,127,127,129,128,130,130,130,131,131,132,131,132,132,131,132, 131,131,130,129,127,128,125,126,124,124,123,121,122,120,121,119,121,120,121,120,122,122,124,123, 125,126,125,127,128,128,128,129,129,130,129,129,129,129,128,127,127,125,126,125,123,124,122,122, 122,121,122,120,121,120,121,121,120,121,121,121,121,122,120,122,120,122,121,121,121,121,121,122, 121,120,121,120,120,120,120,119,120,120,119,120,119,120,120,121,120,122,121,123,123,124,123,125, 125,126,126,126,127,126,127,126,126,125,125,124,124,124,122,122,120,120,119,119,117,117,116,117, 117,116,117,116,117,117,117,118,118,119,119,121,122,123,123,124,123,125,124,126,125,126,125,126, 125,126,125,126,125,126,125,126,125,125,126,125,127,126,127,127,128,127,129,128,130,130,130,131, 130,131,130,132,130,131,131,130,130,130,129,129,129,128,128,128,127,128,127,128,128,127,128,127, 129,129,129,130,130,132,132,133,133,135,135,137,136,138,137,139,137,139,137,139,138,137,137,136, 136,134,135,134,133,131,131,130,130,128,129,128,127,128,127,128,127,128,128,127,128,127,128,128, 128,128,129,129,129,129,130,129,130,129,130,130,129,130,128,129,128,129,128,129,129,129,129,130, 131,130,132,131,133,133,134,133,134,134,135,134,135,134,134,135,133,134,133,132,132,131,131,131, 129,129,127,128,127,126,127,125,126,126,127,126,127,127,128,127,129,129,131,130,132,131,133,133, 134,135,134,135,134,135,135,134,135,134,134,133,134,132,133,131,132,130,131,130,129,130,129,129, 128,129,128,128,129,128,129,128,129,130,130,130,130,130,128,129,129,129,127,127,125,126,124,125, 123,123,122,123,122,122,122,123,122,123,123,125,125,126,127,128,128,130,129,131,130,132,132,132, 132,132,132,132,131,130,130,128,128,127,126,124,124,122,121,122,120,120,119,119,118,118,119,118, 120,119,120,121,121,122,122,123,123,125,124,126,126,125,126,126,127,127,126,127,126,126,126,125, 124,123,123,122,122,121,121,121,120,120,121,120,121,121,121,122,122,123,123,124,124,124,125,125, 126,125,125,126,124,125,123,124,122,122,120,121,120,119,119,118,119,117,119,117,119,118,120,119, 121,121,121,123,123,124,124,126,127,127,127,128,128,128,128,128,128,127,126,127,125,125,125,123, 123,121,122,121,120,120,120,118,120,118,120,120,120,120,121,121,122,122,124,124,125,126,126,127, 127,128,127,129,128,129,129,129,128,129,129,128,129,128,129,128,128,128,127,128,128,128,128,129, 129,130,131,130,132,131,133,133,133,134,133,135,133,134,133,134,132,133,131,132,131,129,130,128, 128,127,128,126,127,126,127,126,128,128,128,129,129,131,131,132,132,134,133,135,134,136,135,136, 136,136,136,135,135,135,133,133,131,132,130,130,128,129,128,126,127,127,126,127,126,127,126,127, 127,128,128,127,129,128,128,130,129,130,129,130,130,129,130,129,129,129,129,128,128,127,128,126, 127,127,126,127,128,126,128,127,129,128,130,130,132,131,133,132,134,133,135,135,134,135,134,135, 133,134,133,132,131,130,130,129,127,127,125,125,124,124,124,123,124,123,124,123,125,124,126,126, 128,129,130,131,132,132,133,133,134,134,133,134,134,133,133,132,132,130,130,129,129,128,128,126, 127,127,126,126,127,126,127,126,127,126,128,127,128,128,129,129,128,128,129,129,128,127,127,126, 126,125,125,125,123,124,122,123,122,121,122,120,121,120,122,121,121,122,122,123,123,125,126,127, 127,128,129,129,130,131,130,132,130,132,130,131,129,130,128,128,127,125,125,123,123,121,121,120, 119,119,119,119,119,118,120,120,121,121,122,122,123,123,125,124,126,126,126,127,126,126,126,126, 125,125,123,124,123,123,121,122,121,121,121,121,122,121,122,121,123,123,123,124,125,124,126,125, 127,126,127,128,127,128,128,127,127,126,126,125,125,124,124,123,121,122,120,120,119,119,119,118, 118,119,119,120,119,120,121,120,123,123,124,126,126,128,129,128,130,129,130,129,130,129,129,127, 127,126,126,124,124,122,123,123,122,122,121,122,121,122,122,123,123,124,124,125,127,127,129,130, 131,131,132,131,132,132,133,133,133,132,132,131,131,130,130,128,129,127,128,127,126,127,127,125, 127,126,129,129,129,131,131,132,132,134,135,135,137,137,138,139,137,137,135,135,134,133,133,133, 134,133,134,133,131,131,129,129,128,128,127,127,127,126,127,126,127,127,127,128,128,131,131,133, 133,135,135,135,135,135,135,134,134,134,133,131,131,130,128,128,127,126,127,126,127,126,124,124, 123,121,122,120,122,121,122,122,124,125,125,128,128,130,132,133,134,135,137,137,138,137,138,138, 137,138,137,139,139,141,142,142,145,145,144,144,143,141,141,139,140,139,140,139,137,136,134,130, 128,126,122,122,120,120,120,120,121,123,123,125,125,127,126,128,128,127,130,129,132,134,136,137, 140,141,143,143,143,144,143,144,144,145,145,145,144,143,141,139,136,135,132,133,132,132,131,132, 130,131,129,126,126,122,120,118,115,113,111,107,106,103,103,101,102,100,102,101,102,102,101, 99, 99, 97, 97, 96, 96, 95, 95, 93, 93, 91, 91, 90, 89, 88, 90, 89, 90, 89, 89, 87, 87, 84, 84, 82, 83, 83, 83, 86, 87, 88, 91, 93, 95, 97, 98,101,103,104,105,107,108,109,112,114,115,117,117,119, 119,118,119,117,117,117,116,117,117,118,119,118,120,120,122,123,123,125,126,128,129,133,135,140, 143,149,152,157,159,163,164,167,168,170,169,171,171,169,170,168,165,164,162,161,159,159,158,158, 158,159,158,158,156,155,151,148,142,137,132,127,122,118,114,110,107,104,103,100, 99, 97, 96, 97, 97, 99,101,104,105,108,109,113,116,117,120,122,122,124,125,125,125,123,121,118,115,111,108,104, 101, 98, 96, 94, 95, 96, 99,100,105,108,114,119,124,130,134,139,145,148,154,158,163,164,167,167, 168,165,163,158,154,149,145,140,137,134,130,128,125,125,123,125,126,129,131,136,139,143,147,151, 158,162,168,172,176,179,183,185,188,188,190,190,188,188,185,180,174,167,160,152,146,140,135,132, 129,131,132,135,138,141,144,147,153,157,165,171,179,185,191,197,201,205,206,207,206,202,199,193, 185,178,167,158,147,138,128,121,111,106, 99, 95, 91, 91, 90, 93, 94, 99,103,110,117,124,133,139, 147,153,161,167,173,179,184,189,192,195,195,194,190,184,178,169,162,153,144,135,128,120,114,109, 105,100, 98, 93, 92, 89, 89, 89, 91, 93, 95, 98,100,101,103,103,104,104,104,105,105,105,103,101, 97, 93, 87, 83, 76, 72, 65, 60, 54, 52, 49, 49, 47, 49, 49, 52, 53, 58, 62, 64, 69, 73, 76, 81, 84, 88, 91, 95, 98,100,102,102,101, 99, 95, 91, 86, 81, 77, 72, 67, 65, 61, 61, 58, 61, 60, 63, 65, 67, 70, 73, 79, 84, 89, 94, 99,104,108,111,114,116,118,121,124,125,129,130,133,133,132,131, 129,128,126,124,121,119,117,118,119,120,124,126,128,132,134,139,144,148,153,157,162,166,170,171, 175,175,177,175,176,173,171,165,161,154,149,142,134,129,121,116,111,106,101, 97, 94, 91, 89, 88, 89, 90, 93, 95, 99,102,108,112,119,124,129,135,141,147,152,157,159,161,161,156,152,145,137,130, 121,112,105, 98, 93, 88, 84, 82, 79, 80, 79, 82, 83, 88, 90, 95, 99,104,108,113,116,121,124,129, 132,136,139,142,144,146,146,148,148,147,146,142,137,134,128,125,119,117,114,114,114,117,118,122, 124,129,132,138,144,150,157,163,169,173,178,181,186,188,189,189,187,186,183,180,178,174,171,165, 162,159,156,153,150,147,142,142,139,141,142,144,149,155,161,169,176,183,190,194,200,203,208,210, 214,214,216,213,211,206,199,190,181,170,160,151,140,134,127,120,116,112,111,111,111,114,115,120, 123,129,134,142,149,155,163,168,175,180,184,188,190,190,192,190,190,187,185,181,175,170,163,158, 151,144,137,130,125,119,114,111,106,105,103,103,102,102,101,102,102,101,103,103,106,106,108,108, 107,106,102, 99, 95, 88, 84, 77, 73, 67, 64, 59, 57, 53, 52, 50, 49, 48, 48, 47, 48, 49, 50, 53, 55, 59, 62, 65, 69, 72, 76, 81, 84, 88, 91, 95, 97,100,101,102,101,100, 97, 97, 94, 92, 89, 88, 86, 85, 85, 86, 89, 92, 93, 97, 98,103,106,108,111,112,114,115,116,118,119,121,122,121,124,124, 127,128,129,130,129,130,129,131,130,129,129,128,127,126,125,125,126,128,129,133,136,142,146,152, 157,162,166,170,174,176,180,182,182,182,180,179,175,171,165,159,151,145,136,131,122,117,109,104, 96, 92, 85, 81, 78, 75, 75, 75, 79, 82, 86, 92, 96,103,108,115,121,127,131,136,139,143,144,145, 144,143,140,138,134,131,126,123,118,113,110,107,103,104,101,103,103,107,108,109,112,112,115,116, 120,121,125,127,130,131,135,135,138,137,138,136,137,134,134,131,129,126,122,121,117,116,112,111, 109,109,107,111,113,119,123,130,135,142,149,154,160,163,167,168,173,174,178,182,184,187,189,188, 188,185,183,178,172,168,162,156,152,147,144,140,138,136,136,137,140,142,146,149,153,159,165,169, 176,179,184,186,189,188,190,188,184,181,176,172,168,161,157,150,144,137,132,127,122,120,115,115, 114,115,116,121,124,131,135,141,145,151,156,160,164,168,172,174,179,180,184,182,182,180,176,173, 167,163,157,152,145,140,133,126,119,114,106,103, 97, 95, 94, 93, 94, 96, 97,101,104,106,110,112, 115,116,118,117,119,117,117,114,113,109,108,105,101, 97, 93, 89, 84, 80, 74, 71, 66, 64, 60, 60, 59, 59, 57, 60, 60, 63, 64, 67, 69, 72, 75, 79, 81, 83, 87, 86, 89, 87, 88, 86, 86, 83, 80, 78, 75, 73, 70, 70, 67, 66, 64, 66, 65, 67, 70, 73, 77, 82, 86, 93, 97,104,108,112,117,119,124,126, 130,133,135,138,140,140,143,144,143,143,141,139,136,131,129,124,121,117,115,112,111,110,111,113, 115,118,123,128,136,142,150,156,162,166,172,175,180,181,185,185,187,186,185,184,180,177,172,168, 162,157,149,142,134,127,119,114,108,106,104,104,103,107,109,114,118,122,128,132,139,145,149,155, 158,162,163,164,162,160,155,150,146,138,133,125,119,113,105,100, 94, 90, 85, 83, 81, 81, 81, 84, 85, 91, 95,100,104,110,114,120,125,130,134,139,143,149,153,157,159,161,160,159,156,152,145,140, 133,128,121,117,113,108,106,103,103,103,103,105,107,110,112,116,120,123,130,134,141,145,152,156, 160,165,167,169,171,170,172,170,171,168,166,162,159,154,152,148,146,145,144,145,148,151,157,162, 169,174,180,185,190,194,196,200,201,203,202,203,201,199,194,189,183,174,167,157,150,142,133,126, 117,112,105,101, 95, 94, 91, 93, 94, 99,103,109,115,120,127,132,139,144,150,153,159,162,167,169, 174,174,176,178,177,177,175,172,167,161,153,147,138,131,122,114,108,102, 97, 95, 91, 91, 88, 88, 86, 88, 87, 88, 88, 90, 90, 91, 92, 90, 91, 90, 88, 87, 85, 84, 81, 80, 77, 76, 73, 71, 67, 65, 61, 60, 57, 56, 55, 54, 54, 56, 57, 60, 62, 65, 69, 72, 76, 79, 83, 86, 90, 92, 94, 97, 97, 98, 97, 95, 95, 92, 90, 85, 82, 78, 73, 72, 68, 67, 65, 66, 66, 69, 69, 73, 74, 78, 79, 84, 87, 90, 95, 98,102,106,108,112,115,119,122,126,131,134,140,143,146,149,150,151,151,151,152,150,149,147, 147,146,144,146,146,150,151,155,158,160,164,165,168,169,172,173,176,177,181,181,183,181,181,178, 177,172,168,162,157,152,146,140,135,128,123,118,113,111,108,109,109,113,115,121,126,131,139,144, 151,156,163,167,173,176,181,183,186,186,187,185,183,178,174,166,160,151,144,135,129,122,117,112, 108,105,104,102,101,101,101,101,103,104,107,109,114,116,122,125,131,133,137,139,140,141,143,143, 144,143,145,144,144,143,141,141,138,137,135,134,132,133,132,134,136,138,139,143,145,149,151,153, 156,158,161,162,165,165,168,168,167,165,161,157,153,146,142,136,130,125,120,118,115,115,113,115, 116,118,123,127,133,139,146,153,159,165,173,178,184,188,193,195,200,201,202,202,200,198,193,189, 182,176,168,160,151,144,136,129,123,118,115,112,112,111,112,114,114,116,116,119,120,122,123,127, 129,133,136,139,143,144,147,146,148,145,145,143,140,137,132,126,122,116,112,106,103,101, 98, 96, 94, 96, 96, 99,100,102,104,106,109,111,112,113,113,114,113,113,111,110,109,105,103, 99, 95, 91, 86, 80, 76, 70, 63, 59, 53, 50, 45, 43, 39, 38, 35, 36, 34, 36, 37, 39, 43, 47, 50, 55, 59, 64, 67, 71, 74, 78, 80, 83, 85, 88, 88, 90, 90, 90, 90, 89, 89, 88, 89, 89, 90, 90, 92, 92, 93, 93, 95, 95, 95, 95, 96, 95, 95, 94, 95, 94, 95, 95, 98, 99,100,103,105,104,107,105,106,106,105,104, 105,104,105,104,105,105,107,109,110,115,118,124,129,136,142,151,158,165,173,179,186,192,197,202, 206,209,210,211,209,208,203,199,193,185,177,168,157,149,139,132,123,118,112,109,105,104,102,103, 102,106,108,111,116,121,127,133,140,147,152,158,162,164,167,167,168,168,167,166,165,162,161,158, 155,152,148,145,142,139,138,137,138,139,141,143,146,147,150,153,153,155,156,155,157,156,157,155, 156,154,154,153,151,149,146,142,137,133,127,123,117,114,109,107,103,102, 99, 99, 98,100,102,106, 110,116,122,130,138,145,152,159,165,171,175,180,183,186,187,186,187,183,182,178,175,171,165,162, 156,154,150,148,147,145,145,145,146,147,148,150,152,153,156,159,161,163,167,168,172,172,174,173, 171,169,166,162,157,153,148,144,139,134,131,127,125,122,122,122,122,123,123,126,128,133,135,141, 145,149,152,158,161,166,170,173,175,177,178,179,178,176,173,168,163,156,150,142,132,124,114,106, 96, 90, 83, 79, 74, 69, 67, 65, 65, 64, 66, 66, 69, 71, 75, 78, 84, 87, 92, 94, 99,101,105,107, 110,112,113,114,114,114,112,108,106,102, 98, 94, 90, 86, 83, 79, 77, 73, 72, 70, 67, 67, 65, 66, 64, 65, 66, 66, 66, 65, 66, 65, 67, 66, 66, 67, 66, 65, 64, 62, 62, 60, 60, 58, 59, 59, 59, 59, 59, 60, 61, 61, 64, 65, 69, 73, 77, 81, 87, 92, 98,103,110,115,120,126,130,136,140,142,146,147, 149,149,149,147,144,141,136,130,126,120,116,112,108,105,103,102,102,103,104,106,110,114,119,126, 132,140,147,153,161,166,170,174,176,178,178,176,177,174,173,170,165,162,157,154,149,143,139,135, 133,132,130,132,133,135,138,141,145,149,153,155,160,161,166,168,169,172,173,174,173,173,171,169, 165,160,154,148,139,133,125,121,114,111,106,105,102,103,102,102,103,105,108,112,115,121,125,132, 136,143,147,153,157,162,166,171,174,178,179,180,182,180,178,173,169,162,156,150,142,136,128,124, 118,115,111,110,108,110,110,113,114,119,122,125,131,133,138,141,143,146,147,147,149,148,149,147, 147,148,146,147,145,146,146,145,147,148,148,152,154,156,160,164,169,175,179,184,189,192,197,198, 200,200,200,198,196,194,190,187,182,175,170,162,156,148,142,135,126,121,113,109,103,100, 96, 93, 92, 92, 93, 95, 98,101,106,111,116,123,130,138,145,152,159,164,169,174,178,181,184,185,185,184, 181,178,172,168,160,155,147,142,134,130,123,119,113,109,104,101, 97, 93, 91, 88, 87, 87, 85, 86, 84, 85, 85, 84, 85, 85, 84, 84, 83, 83, 82, 79, 78, 76, 73, 72, 70, 69, 67, 68, 66, 68, 68, 68, 70, 73, 75, 78, 81, 85, 88, 91, 93, 96, 98, 99,101,101,103,102,104,103,104,103,103,100, 99, 95, 90, 86, 81, 75, 71, 66, 62, 59, 55, 54, 51, 51, 49, 48, 49, 49, 52, 54, 59, 63, 69, 73, 80, 85, 91, 97,103,110,116,121,126,131,135,139,141,142,144,144,142,142,139,138,136,136,135,137,138,142, 144,149,151,156,159,163,165,168,169,171,172,172,171,171,169,165,163,158,154,147,140,132,124,116, 110,103, 99, 94, 93, 90, 91, 91, 91, 95, 96,101,105,110,117,124,133,141,150,158,166,172,180,185, 189,192,193,195,195,195,192,189,185,178,172,164,155,149,140,134,126,122,115,111,107,102,100, 96, 94, 92, 91, 92, 92, 94, 96, 98,102,105,110,114,120,123,129,132,137,138,142,142,143,142,140,139, 136,135,133,131,131,130,131,132,135,136,140,144,147,153,155,160,162,165,165,166,165,165,163,163, 162,160,158,154,152,146,143,138,133,128,123,119,116,113,112,111,111,112,114,116,121,125,129,135, 139,146,150,156,161,167,172,177,181,186,189,192,194,196,197,196,195,193,190,187,182,177,170,165, 158,153,147,143,138,135,132,130,128,127,127,126,126,127,128,130,131,134,137,137,140,141,144,144, 146,147,147,146,146,145,143,139,137,132,129,126,122,120,116,116,112,112,111,109,111,111,113,114, 118,119,123,124,127,128,130,130,130,131,130,130,129,125,124,120,115,110,104, 98, 91, 85, 78, 73, 68, 63, 60, 57, 55, 52, 50, 49, 47, 47, 46, 46, 49, 50, 54, 57, 62, 66, 72, 76, 83, 88, 95, 99, 106,110,115,118,121,122,122,123,123,121,120,117,116,113,112,109,108,106,105,104,102,102,100,100, 99, 97, 98, 97, 99,100,103,105,107,111,112,115,116,116,115,114,111,110,107,106,103,101,102,102, 102,105,107,109,114,117,124,130,137,146,153,163,170,178,184,191,194,199,200,202,201,201,199,195, 193,188,183,177,170,162,154,146,138,132,124,119,114,110,106,105,101,102,100,102,104,106,110,113, 117,123,127,132,137,142,146,150,152,155,157,159,159,159,158,158,155,155,152,151,147,147,143,143, 140,139,136,136,133,134,132,131,131,130,131,130,132,132,133,133,134,136,136,137,137,136,136,133, 130,125,119,114,107,103, 97, 94, 91, 88, 87, 85, 86, 86, 89, 91, 94, 99,102,107,113,118,124,129, 135,141,146,151,155,158,163,164,167,166,168,166,167,165,164,161,160,157,155,153,150,149,146,146, 143,144,142,142,140,141,139,139,138,138,140,140,142,142,145,145,147,146,148,147,146,146,144,142, 140,136,134,130,128,126,123,123,121,123,123,124,126,127,130,134,136,141,144,148,152,154,158,160, 163,164,167,168,170,171,171,171,170,166,164,158,154,146,140,131,125,116,110,103, 97, 92, 86, 81, 78, 75, 74, 72, 73, 73, 75, 77, 81, 84, 89, 94, 97,103,106,111,115,119,121,124,126,128,128,129, 129,127,127,124,123,120,117,114,109,106,100, 97, 92, 89, 83, 81, 78, 74, 73, 70, 69, 67, 68, 69, 70, 73, 76, 79, 81, 83, 85, 85, 87, 85, 86, 85, 83, 84, 82, 83, 82, 83, 82, 84, 84, 83, 84, 84, 86, 87, 91, 93, 97,101,107,111,117,122,127,132,136,141,144,148,150,153,154,155,154,153,149,146, 141,136,131,126,121,118,114,113,112,113,114,116,119,122,126,130,133,138,141,145,149,151,156,158, 162,164,165,167,167,167,167,167,165,164,161,160,158,157,154,153,150,150,148,148,147,146,148,148, 149,150,152,153,156,158,159,162,164,164,166,166,167,165,166,163,163,159,157,152,148,142,138,132, 129,124,120,116,113,110,107,104,103,102,102,102,104,106,110,114,118,123,128,134,140,144,151,155, 159,163,164,166,166,166,164,162,159,156,151,148,142,138,133,128,124,120,117,113,111,110,108,108, 107,108,107,108,109,109,112,112,115,115,118,118,120,121,123,123,126,127,129,130,131,134,136,138, 140,141,144,146,148,150,152,153,155,157,159,162,164,166,170,171,174,175,178,179,179,180,179,179, 176,174,170,166,159,154,146,140,133,127,120,115,109,106,102, 98, 97, 96, 94, 95, 95, 95, 97, 98, 102,105,108,114,119,125,130,137,142,149,154,160,164,167,170,171,171,172,169,167,163,159,152,147, 139,133,126,119,113,108,101, 98, 93, 91, 89, 86, 85, 82, 82, 80, 80, 79, 80, 80, 80, 82, 82, 84, 85, 85, 86, 85, 85, 86, 86, 85, 86, 85, 85, 84, 83, 82, 81, 78, 78, 75, 75, 75, 74, 76, 77, 81, 83, 87, 90, 95, 98,103,106,110,113,116,118,120,121,121,121,119,119,115,113,109,103, 98, 92, 87, 82, 77, 74, 72, 68, 68, 66, 67, 66, 68, 69, 70, 75, 78, 84, 89, 95,103,110,118,124,131,136,140, 145,146,149,149,151,150,151,151,151,151,150,152,151,154,155,157,160,162,165,167,170,172,173,173, 175,175,175,174,172,172,169,167,164,162,159,154,151,147,143,139,134,128,125,120,118,114,113,112, 111,110,111,113,113,117,119,125,130,135,142,148,153,160,165,171,176,180,185,187,191,193,193,194, 192,190,187,182,178,171,166,159,151,144,136,130,123,116,112,108,104,103,100,100, 99,100,100,102, 104,105,109,112,114,119,122,124,128,129,132,132,135,134,136,135,136,135,136,135,134,135,134,136, 136,137,138,139,141,142,145,145,147,147,148,147,147,146,146,144,145,143,144,142,143,142,141,140, 139,138,136,136,134,133,130,130,126,126,124,125,123,124,124,127,127,131,133,138,142,145,151,155, 161,166,169,174,176,179,180,181,181,181,179,178,176,174,171,168,164,160,155,151,146,143,137,134, 130,128,124,123,119,119,116,117,116,115,117,117,120,121,125,126,130,133,134,136,136,137,135,133, 132,128,126,123,118,116,113,109,108,105,103,103,101,102,100,102,102,104,104,106,107,107,110,111, 112,112,114,113,116,115,117,115,116,115,114,111,109,105,100, 94, 88, 81, 75, 68, 63, 57, 53, 49, 44, 42, 39, 37, 36, 36, 36, 38, 41, 45, 51, 56, 63, 69, 75, 82, 88, 92, 98,100,105,106,109,111, 111,112,111,111,109,107,105,101, 99, 96, 94, 91, 91, 89, 87, 88, 87, 88, 88, 91, 93, 94, 98, 99, 103,104,107,108,110,109,111,110,109,110,108,108,106,107,106,108,109,112,114,120,122,128,131,138, 141,147,151,157,161,167,171,174,177,180,183,185,187,187,187,188,187,186,184,182,178,174,171,166, 162,156,151,147,141,136,133,128,126,123,122,121,119,120,119,121,123,124,126,129,133,137,142,147, 151,155,159,162,165,165,168,167,167,165,165,162,161,159,155,154,150,150,146,146,144,144,142,143, 141,141,140,141,139,140,140,139,141,140,142,142,143,143,142,141,140,138,136,132,130,126,122,120, 117,115,112,112,110,110,110,110,111,112,114,115,117,118,119,122,123,126,129,131,136,139,145,148, 152,156,159,164,166,170,172,175,176,175,175,173,171,169,166,162,159,156,154,151,150,148,147,145, 145,144,144,143,144,143,144,143,144,145,145,146,146,147,147,146,146,144,144,142,142,140,139,139, 138,138,138,138,137,138,137,138,138,139,140,140,143,145,149,151,155,157,162,164,167,168,171,171, 171,170,168,166,162,157,151,146,138,132,124,118,111,104, 99, 94, 91, 87, 84, 81, 80, 77, 76, 74, 73, 73, 74, 75, 79, 82, 85, 91, 96,100,106,110,115,118,121,122,124,124,126,124,124,122,118,116, 110,107,100, 96, 89, 85, 80, 76, 71, 69, 66, 63, 63, 61, 62, 62, 62, 65, 66, 69, 70, 73, 75, 77, 78, 80, 80, 81, 80, 80, 78, 78, 75, 74, 72, 71, 69, 70, 69, 71, 71, 73, 75, 77, 81, 84, 89, 93, 99,103,110,114,120,124,129,131,135,137,137,139,138,138,136,134,134,131,130,127,126,125,124,123, 122,123,122,124,123,125,126,127,127,130,129,132,131,134,134,137,138,140,143,143,146,146,148,148, 148,149,148,148,148,147,148,148,146,147,145,145,144,143,143,141,141,141,141,141,142,143,145,147, 148,152,153,156,157,159,160,161,160,159,157,155,153,147,145,139,136,131,126,123,119,117,113,110, 109,106,106,105,105,106,106,108,110,112,117,121,124,130,133,139,144,148,153,154,158,159,162,161, 163,161,162,159,159,157,154,153,149,148,144,142,139,137,133,131,127,125,121,120,117,116,114,114, 113,115,116,119,121,125,129,131,135,137,141,143,146,148,148,150,150,153,153,155,156,157,159,160, 162,163,165,166,168,168,171,172,174,176,177,179,178,178,179,177,178,175,174,173,170,168,164,162, 157,154,150,144,141,136,132,127,123,119,116,113,112,111,109,110,109,111,113,115,120,124,130,135, 142,146,153,157,163,166,168,171,171,172,170,170,168,167,164,162,158,156,151,146,141,136,129,125, 118,115,109,106,102,100, 98, 94, 93, 91, 91, 91, 91, 91, 92, 94, 95, 97, 97, 99,100, 99, 99, 97, 97, 95, 92, 90, 86, 83, 79, 77, 74, 72, 70, 68, 67, 66, 67, 67, 69, 71, 73, 77, 80, 86, 89, 95, 98,103,107,110,113,114,115,116,116,114,112,108,105,100, 96, 90, 86, 82, 77, 74, 70, 67, 65, 63, 63, 62, 63, 64, 66, 68, 71, 74, 77, 81, 85, 88, 93, 96,101,104,109,111,115,117,121,122,126,129, 132,136,138,142,143,147,150,151,154,155,157,158,160,161,161,161,162,162,162,161,161,159,158,156, 153,152,150,147,146,142,141,138,137,133,131,128,125,123,119,118,114,113,111,110,108,110,109,112, 113,117,120,126,130,135,142,146,153,157,163,166,170,171,174,175,175,175,173,172,169,167,163,160, 155,151,146,140,135,130,125,120,116,113,109,106,103,102,100,100, 99, 98,100,100,101,103,105,108, 110,112,114,117,118,121,124,125,128,129,132,133,136,137,139,141,140,142,141,142,141,140,140,138, 139,138,139,139,141,142,143,143,146,146,147,148,148,150,150,151,151,149,150,147,147,144,144,141, 140,139,136,136,133,134,132,134,133,135,135,138,138,141,142,145,147,151,153,157,161,163,168,169, 173,174,175,177,178,177,178,177,175,174,171,170,166,162,159,154,151,146,144,141,138,137,135,137, 135,137,137,138,137,139,138,140,140,142,143,142,144,143,144,142,143,140,139,137,134,131,128,125, 122,120,116,115,112,111,108,108,106,106,105,106,106,108,109,112,114,118,121,122,126,127,130,130, 132,131,131,129,126,124,119,115,109,104, 98, 90, 85, 78, 72, 67, 60, 57, 51, 49, 45, 45, 45, 46, 47, 49, 54, 57, 63, 68, 73, 78, 83, 89, 93, 98,101,104,107,108,109,109,109,110,108,108,107,107, 105,105,103,104,102,102,101,102,100,101,101,101,102,102,102,103,103,103,104,103,104,104,105,106, 107,108,110,110,112,112,114,114,116,117,120,123,125,127,131,133,136,138,142,145,147,150,153,155, 158,160,161,164,165,167,168,170,171,172,173,174,173,173,171,169,165,163,158,154,149,144,140,135, 132,128,125,122,120,118,118,117,118,118,119,122,123,125,127,130,132,135,137,139,141,143,144,146, 146,147,146,147,145,146,144,144,143,143,141,141,140,138,138,136,136,134,133,133,131,132,131,131, 130,130,129,129,129,128,127,128,128,129,129,130,130,131,130,130,127,127,124,123,120,117,115,112, 110,108,107,106,105,105,104,104,106,107,111,113,117,121,126,130,135,139,143,148,151,155,158,160, 164,165,167,167,169,169,168,169,167,166,163,162,158,157,153,152,149,148,145,145,143,143,141,140, 139,138,137,138,138,140,140,141,141,142,142,142,140,140,137,137,135,135,134,134,134,134,135,137, 136,139,139,142,142,145,145,148,150,153,154,156,160,161,164,165,165,166,165,165,163,161,158,156, 152,149,144,138,134,127,122,116,111,106, 99, 96, 89, 87, 82, 80, 77, 77, 77, 77, 79, 80, 84, 87, 90, 95, 98,103,108,110,116,118,122,124,125,126,125,125,123,122,118,116,111,107,103, 99, 95, 91, 88, 84, 82, 81, 78, 79, 78, 79, 79, 81, 81, 83, 83, 84, 85, 84, 86, 85, 86, 86, 84, 84, 83, 82, 81, 79, 79, 79, 79, 78, 79, 81, 82, 85, 85, 88, 89, 91, 91, 95, 96,100,101,105,107,111,113,117, 119,122,125,128,131,134,135,138,139,140,141,143,143,145,145,145,147,147,147,147,147,147,144,144, 142,140,139,137,136,134,134,133,134,133,136,135,138,139,142,142,146,146,149,149,149,150,149,150, 150,151,149,151,150,149,149,150,149,150,149,150,149,151,151,153,153,155,157,158,159,159,159,158, 158,156,156,153,153,150,150,147,143,141,137,135,132,128,126,123,122,119,118,117,113,114,111,111, 109,109,108,108,109,109,112,113,117,120,123,127,133,135,142,144,149,151,155,157,157,159,158,158, 155,155,151,149,145,141,137,133,128,125,120,118,115,111,110,108,108,106,107,105,107,106,108,111, 113,117,120,123,126,130,132,136,138,141,144,147,149,152,154,155,157,158,159,159,159,159,160,159, 160,160,162,163,164,165,166,167,168,167,168,166,166,163,161,159,156,154,150,148,144,141,137,135, 131,129,125,123,119,119,115,115,112,113,111,112,112,115,116,119,122,124,129,131,136,138,143,145, 150,151,155,155,158,158,157,156,154,152,148,147,143,138,134,129,125,119,115,110,106,103, 99, 97, 95, 94, 92, 92, 90, 91, 92, 91, 94, 93, 96, 96, 98, 98,100, 98, 99, 96, 95, 93, 90, 86, 84, 81, 78, 75, 73, 71, 70, 68, 68, 68, 69, 70, 73, 76, 80, 83, 88, 91, 96, 99,102,105,106,108,110,109, 111,109,110,108,107,106,105,104,104,101,101, 99, 97, 96, 93, 92, 89, 87, 85, 84, 82, 81, 80, 80, 81, 81, 83, 84, 86, 88, 91, 92, 97, 98,104,106,113,115,121,126,130,136,141,145,151,154,159,162, 165,166,168,169,168,169,168,167,166,165,165,165,162,163,161,159,159,157,155,154,152,150,149,147, 146,143,142,140,137,135,132,131,127,127,124,124,121,122,122,122,123,123,126,127,131,134,136,141, 143,148,152,154,159,161,165,166,169,170,170,171,170,170,169,170,168,168,165,165,161,160,155,153, 147,144,138,132,127,123,117,114,110,106,105,103,103,103,103,105,106,109,112,116,119,123,127,130, 133,135,138,139,139,141,142,142,143,144,144,143,143,142,142,141,140,139,139,138,139,138,139,140, 140,141,141,142,142,144,144,146,147,148,149,149,151,152,153,153,152,152,150,148,147,144,141,138, 136,135,132,132,132,131,132,132,134,136,137,140,141,143,146,147,150,151,154,156,157,159,159,161, 160,160,161,160,160,158,158,157,155,152,150,147,145,141,139,136,135,133,130,130,128,128,127,128, 128,128,129,128,130,129,131,130,130,130,128,128,126,125,122,121,117,116,112,111,108,105,104,101, 100, 99, 98, 97, 98, 98, 99,102,103,107,108,112,115,118,120,123,124,126,126,126,125,124,121,119, 116,110,107,101, 97, 92, 85, 81, 75, 71, 67, 63, 61, 59, 57, 57, 57, 57, 58, 59, 60, 62, 63, 66, 67, 70, 71, 74, 77, 80, 82, 85, 88, 91, 94, 97,101,103,105,108,108,111,110,111,110,111,109,109, 107,107,106,105,104,101,101,100, 99, 97, 98, 96, 97, 95, 97, 98, 99,101,103,106,110,112,114,117, 119,123,124,127,127,130,130,134,135,136,137,138,139,141,141,144,145,148,148,151,152,155,156,159, 162,161,165,165,166,166,167,165,166,165,163,163,160,160,156,155,150,149,144,143,138,138,135,133, 132,131,132,131,132,132,131,132,132,133,133,132,134,133,136,136,140,141,144,145,148,149,151,153, 153,155,154,156,153,154,152,150,146,145,141,139,136,135,133,133,132,132,133,132,135,134,137,136, 139,139,140,141,140,141,140,141,140,138,138,135,134,132,128,127,124,121,119,117,116,114,114,113, 112,113,111,113,112,114,117,118,122,125,129,134,138,144,149,154,159,161,166,168,171,171,173,173, 172,172,169,169,166,165,161,160,156,156,152,152,149,148,145,145,143,142,140,140,138,138,137,135, 136,134,135,133,134,133,135,134,135,136,136,136,135,136,135,136,135,136,134,136,136,136,138,139, 139,142,143,146,149,150,154,154,158,158,160,159,161,160,158,157,154,152,149,146,141,137,132,128, 121,117,111,106,101, 96, 93, 89, 87, 84, 83, 81, 81, 82, 83, 84, 87, 88, 92, 94, 99,102,104,108, 110,112,115,114,116,115,116,114,114,112,111,110,107,107,104,102,101, 99, 98, 97, 96, 94, 93, 92, 90, 89, 87, 85, 85, 83, 83, 81, 81, 80, 80, 80, 80, 80, 81, 81, 83, 82, 84, 84, 85, 86, 86, 87, 87, 87, 88, 89, 89, 89, 89, 89, 88, 90, 89, 91, 92, 92, 96, 97,101,104,107,111,115,119,124,127, 130,134,137,141,143,145,147,148,150,150,150,150,148,148,145,143,141,139,137,135,132,131,128,128, 126,125,124,124,123,124,125,126,128,128,131,132,135,136,137,140,140,142,142,144,145,146,145,148, 147,150,149,151,151,151,152,151,152,151,151,151,150,150,149,149,148,148,147,147,147,145,147,146, 147,146,147,147,145,146,142,142,138,136,131,129,124,122,117,116,112,111,109,107,108,108,108,111, 112,116,120,122,128,131,137,141,144,148,151,154,155,158,159,160,159,160,159,159,156,156,152,151, 147,145,140,137,131,128,123,121,118,114,113,112,111,111,111,113,114,117,119,122,125,127,130,132, 134,137,139,140,143,143,145,147,147,149,149,150,151,152,152,154,154,156,156,157,157,159,158,159, 159,160,160,160,159,159,159,158,158,157,155,155,154,151,151,148,146,143,140,138,134,132,127,126, 122,121,118,118,116,116,116,117,118,120,122,125,127,131,133,137,139,143,146,147,150,150,152,153, 152,153,152,150,149,146,144,142,139,136,132,129,125,122,119,116,115,113,111,111,109,109,108,109, 108,108,107,107,106,105,105,102,102, 99, 98, 95, 94, 92, 91, 90, 87, 87, 85, 86, 84, 86, 84, 86, 84, 86, 85, 87, 88, 88, 90, 90, 93, 93, 97, 98,100,102,103,105,107,107,109,109,112,112,112,114, 113,115,114,114,113,112,108,106,102,100, 95, 93, 88, 87, 83, 82, 78, 78, 76, 77, 76, 78, 79, 82, 84, 88, 91, 95,100,103,109,113,119,122,128,131,137,141,143,147,149,153,153,157,156,158,157,158, 156,156,155,154,152,151,150,150,149,147,148,145,146,143,142,141,140,139,137,136,134,134,132,132, 129,129,126,127,124,124,123,122,122,122,122,123,122,123,122,124,125,125,127,128,129,132,135,139, 143,145,150,152,156,158,162,163,165,165,166,166,164,164,160,157,154,149,145,140,135,131,125,121, 116,114,112,108,108,106,108,106,107,109,109,111,112,114,115,118,119,122,124,126,129,130,133,134, 136,136,137,137,137,136,136,135,134,133,131,131,130,130,130,129,132,131,134,134,137,139,141,142, 145,145,147,148,149,150,150,150,149,150,147,148,145,144,142,140,139,136,135,134,132,131,129,129, 127,128,127,128,129,129,130,132,133,136,138,141,143,146,149,151,155,156,159,161,161,163,162,163, 161,162,159,159,156,153,151,148,147,144,143,141,138,138,136,137,136,136,136,135,136,135,136,134, 135,134,134,132,133,132,129,129,126,125,122,121,118,117,114,114,112,110,108,109,108,109,110,111, 113,115,117,118,122,122,125,125,128,128,130,129,130,130,128,128,127,125,125,122,121,119,115,114, 109,108,103,101, 96, 94, 89, 88, 84, 83, 81, 79, 78, 76, 76, 74, 75, 74, 76, 77, 80, 81, 85, 87, 91, 93, 98,101,106,110,113,116,118,121,121,123,123,122,122,121,120,119,116,115,113,111,110,108, 108,106,107,105,107,106,107,108,108,110,112,112,115,117,118,122,123,126,127,129,129,131,130,132, 131,132,130,132,130,131,130,131,130,131,132,132,134,134,137,137,140,140,144,144,148,149,150,152, 152,154,154,156,156,157,156,158,156,155,154,151,149,146,143,141,136,133,129,127,123,121,118,117, 116,113,114,112,115,115,116,118,121,122,126,128,131,134,136,138,139,140,140,141,140,140,137,137, 135,134,133,131,131,129,129,128,127,128,127,128,128,128,128,129,130,131,131,132,132,134,134,136, 135,136,135,136,133,133,130,129,125,123,119,117,113,111,107,106,103,102,100,101,100,102,102,105, 107,109,114,116,121,124,130,133,138,141,146,150,152,155,157,160,160,163,162,164,164,163,163,161, 159,157,155,153,149,148,146,142,141,138,137,134,134,132,132,130,131,131,130,132,132,132,133,133, 135,135,134,136,136,135,136,136,135,136,134,136,135,136,136,138,138,140,140,143,144,145,148,148, 151,152,153,155,156,156,157,156,157,155,154,152,150,148,143,141,136,134,128,126,121,117,114,110, 108,106,103,103,101,102,101, 99,100, 98, 99, 98,100, 99,101,101,104,104,107,107,110,111,114,114, 117,119,119,121,120,122,122,122,122,121,121,121,119,118,116,114,112,109,106,105,103,102,101, 98, 99, 96, 97, 96, 98, 97, 99, 98,100,101,101,103,104,103,103,102,102,100,100, 98, 98, 96, 95, 96, 95, 94, 95, 95, 97, 96, 99,100,102,105,109,110,115,118,123,126,132,134,139,143,146,149,150,154, 154,157,156,157,156,155,154,152,149,146,145,142,139,138,135,134,131,130,128,128,126,126,125,124, 125,124,126,126,129,130,133,134,137,138,141,143,144,146,147,147,148,148,148,147,147,146,146,144, 144,142,142,141,140,140,140,141,141,142,142,144,146,146,148,148,149,149,149,149,146,145,141,140, 136,134,130,126,123,118,116,112,110,107,106,104,102,101,101,100,102,101,104,106,109,112,115,119, 122,127,130,135,138,141,145,146,149,150,150,150,150,149,146,145,141,139,134,132,128,125,121,119, 117,115,113,113,111,111,110,112,111,113,114,115,117,118,121,122,125,127,128,129,132,133,135,136, 138,138,139,139,139,140,139,140,141,139,141,140,141,141,143,142,144,145,146,148,148,150,150,152, 152,154,154,154,155,153,153,152,151,149,147,143,142,138,136,132,130,126,125,121,120,118,118,117, 116,117,118,117,120,121,122,124,127,127,131,132,135,136,137,139,138,140,140,139,139,139,137,138, 136,137,136,134,134,132,132,131,128,127,125,124,122,120,118,117,116,114,112,111,109,108,106,106, 105,103,104,102,103,102,102,101,102,101,101,101, 99,100, 99, 98, 98, 97, 96, 97, 95, 96, 95, 96, 96, 97, 98, 99,100,103,104,107,109,112,116,117,121,122,125,126,127,126,127,126,126,124,123,122, 119,116,112,110,106,102,100, 96, 94, 92, 91, 89, 89, 88, 89, 89, 90, 91, 93, 96, 99,103,107,112, 116,120,125,128,133,137,139,143,144,148,149,152,152,154,154,156,156,155,156,155,155,154,152,152, 150,150,148,147,147,145,146,145,144,145,144,145,144,146,145,145,145,144,144,144,141,141,138,137, 134,131,130,126,125,122,122,120,121,119,121,121,123,125,127,131,133,136,141,143,147,150,151,155, 156,159,158,160,159,160,159,157,156,153,151,147,145,141,136,133,130,125,123,119,116,114,112,111, 109,109,109,108,110,109,111,111,114,116,116,119,119,122,122,124,123,125,124,125,124,125,125,123, 124,123,124,124,123,125,125,125,126,126,128,128,131,131,133,135,135,137,139,139,142,142,144,145, 145,147,147,146,146,145,145,143,142,141,138,137,134,133,131,129,128,126,124,125,125,124,124,125, 125,127,127,130,131,134,136,137,140,142,145,147,147,150,150,151,153,153,154,154,152,153,152,150, 150,149,146,147,145,145,143,144,142,143,141,141,140,140,138,137,136,134,131,130,128,127,125,124, 122,122,119,120,118,117,117,115,115,114,115,115,113,115,114,115,114,115,115,116,116,115,117,116, 118,117,119,118,120,121,121,122,122,124,124,123,124,123,123,123,121,121,117,117,113,112,108,106, 101,100, 96, 94, 91, 90, 87, 86, 85, 83, 84, 82, 84, 83, 86, 86, 90, 92, 94, 97, 99,102,104,107, 108,111,112,112,114,114,115,114,115,114,114,112,112,110,110,109,108,108,107,107,108,107,109,110, 110,112,113,115,117,117,120,120,123,123,126,127,129,129,131,132,133,133,134,134,134,133,133,134, 132,133,133,132,131,132,131,132,133,132,135,134,137,137,141,142,145,147,150,152,153,157,156,159, 158,159,157,157,154,153,150,148,144,143,139,137,136,132,132,130,129,129,128,128,128,128,128,128, 129,129,130,130,133,134,134,136,136,138,138,138,138,138,137,137,136,135,133,133,131,132,131,129, 130,128,129,128,129,129,130,131,131,132,132,134,135,134,135,135,136,136,134,135,134,133,132,131, 128,128,125,124,121,120,117,117,114,113,112,111,111,110,111,110,112,112,114,114,117,118,120,123, 125,128,131,134,137,138,142,143,146,147,149,149,151,151,151,152,151,151,149,149,148,147,146,144, 143,141,141,139,139,137,137,136,134,134,132,133,132,132,131,132,132,133,132,133,133,132,133,132, 133,132,132,132,133,133,135,135,137,138,141,142,145,146,147,149,149,150,151,150,151,149,150,148, 149,147,147,146,144,143,141,140,138,137,134,134,131,131,128,128,125,125,121,121,119,117,116,114, 114,111,111,109,109,107,108,106,106,106,107,108,108,110,111,113,115,115,118,118,120,121,120,122, 121,122,121,122,119,120,117,118,115,115,113,111,111,108,108,107,105,105,105,102,104,101,103,102, 102,102,101,102,102,101,101,101,100, 99, 99, 97, 96, 95, 94, 93, 91, 91, 89, 90, 90, 91, 91, 94, 95, 96, 99,100,104,106,108,111,113,117,119,123,125,129,131,134,136,138,140,142,142,144,143,144, 143,144,141,141,138,138,136,133,132,129,128,125,125,123,121,121,120,121,121,121,123,123,126,127, 128,131,131,133,133,135,134,136,135,136,135,135,136,135,136,135,137,137,137,138,138,140,141,140, 142,142,142,144,143,144,144,145,144,145,144,145,145,143,143,142,141,139,137,135,133,130,129,125, 124,122,119,118,115,115,113,114,114,113,114,115,115,117,118,120,120,123,125,125,128,128,131,131, 134,134,136,136,136,137,137,138,138,137,137,135,135,133,133,131,131,130,128,128,126,125,126,124, 124,123,123,122,123,122,124,122,124,124,126,125,127,127,128,128,130,130,130,131,131,133,132,134, 134,136,136,138,139,139,140,141,142,143,143,145,145,147,147,148,149,150,150,151,150,150,151,149, 150,148,147,146,144,144,142,143,141,141,139,140,138,140,138,139,138,139,138,139,138,139,138,137, 137,136,136,134,135,133,134,133,133,133,133,134,134,133,135,134,136,137,136,138,138,138,139,138, 138,137,137,136,135,133,133,130,130,127,127,125,123,122,121,120,118,118,117,117,117,115,116,115, 115,115,113,114,112,113,111,110,110,108,108,107,107,106,106,105,106,105,106,105,107,106,108,107, 110,109,112,113,114,116,117,119,119,121,121,120,121,120,119,118,117,115,114,112,111,110,107,107, 104,104,103,101,101, 99,100, 99, 98, 99, 99,100,100,101,103,103,106,106,110,111,115,117,118,122, 124,126,129,130,132,134,134,137,137,137,138,138,138,137,136,137,137,136,137,135,137,136,137,137, 137,138,137,137,137,136,136,135,134,132,132,130,130,127,127,125,124,122,122,121,121,121,119,120, 119,121,121,123,123,125,126,126,129,129,132,132,135,136,139,139,142,142,144,143,145,144,145,143, 143,141,141,140,137,137,134,134,131,131,128,128,127,127,125,125,123,124,122,123,121,121,120,120, 120,118,119,117,119,118,118,117,118,117,118,117,118,118,119,119,118,120,120,121,122,122,124,124, 126,126,128,128,130,131,133,134,135,134,136,136,138,137,138,137,138,137,138,136,137,135,136,135, 135,134,133,132,132,132,131,131,129,128,128,127,128,127,128,129,129,130,130,131,131,133,134,133, 136,135,137,136,139,138,140,140,142,141,143,143,145,146,147,148,150,150,152,153,153,154,153,155, 153,154,152,153,151,150,147,146,144,142,140,139,137,135,133,132,130,129,127,128,126,126,126,126, 126,126,124,125,124,125,123,124,123,124,123,125,125,125,124,126,125,126,127,126,128,128,129,130, 130,131,130,130,131,129,130,129,128,127,126,124,124,122,121,118,117,115,114,112,109,109,106,106, 104,104,104,102,103,102,103,103,104,103,105,105,107,106,108,109,109,110,110,109,111,110,111,111, 112,112,112,111,112,112,113,113,114,113,115,115,116,115,117,117,117,118,119,118,120,119,121,121, 123,122,124,125,124,126,125,127,127,126,127,125,126,124,124,123,123,121,121,120,121,122,121,123, 124,125,126,128,128,131,131,134,134,136,136,138,138,139,139,139,138,139,138,138,137,137,136,135, 135,134,134,133,131,132,131,130,130,129,130,129,129,129,129,130,130,129,129,130,130,131,130,131, 131,129,130,129,129,128,127,127,127,125,126,124,125,124,125,124,126,125,127,127,128,129,128,130, 129,131,130,132,131,132,132,133,132,132,131,132,131,131,129,130,128,128,127,126,124,124,122,122, 120,118,118,116,116,115,116,115,116,116,117,118,117,119,119,121,122,121,124,124,127,128,130,130, 133,134,136,138,138,140,140,142,142,142,143,142,142,143,141,142,141,141,140,139,139,137,137,136, 136,135,133,133,133,130,131,129,129,128,127,128,126,128,127,129,128,130,130,133,133,136,135,138, 138,140,140,142,143,144,144,144,143,143,143,141,142,139,140,139,138,138,137,138,137,137,137,138, 136,138,136,138,136,137,136,135,135,134,133,131,131,129,128,125,124,122,121,120,118,117,117,115, 116,114,116,115,116,115,117,116,118,119,119,122,122,124,125,125,126,127,128,128,127,128,126,126, 125,124,124,123,121,121,120,119,118,118,117,117,116,116,116,116,115,116,114,115,113,114,113,113, 112,113,111,112,110,111,111,109,110,109,109,108,109,108,109,107,108,107,109,108,108,110,111,112, 113,115,116,119,122,123,126,128,131,132,135,136,138,138,140,140,139,140,139,139,136,137,135,133, 133,131,131,130,128,128,127,127,125,126,125,125,124,125,124,124,123,124,124,123,125,124,125,125, 126,126,128,128,129,130,130,132,131,133,133,135,135,136,137,137,138,137,139,138,139,139,140,139, 140,139,140,139,139,138,138,136,136,135,134,134,132,132,130,130,128,129,126,127,126,127,126,125, 125,124,124,124,124,122,123,122,123,121,123,123,124,124,125,125,126,126,128,128,129,130,130,132, 132,132,133,132,133,133,134,133,134,134,133,134,132,133,131,131,130,129,128,127,126,126,125,125, 125,124,124,124,124,123,125,124,126,126,126,127,127,129,128,130,130,130,131,132,133,134,134,135, 134,136,135,136,136,136,137,135,137,136,135,136,135,136,136,135,136,135,136,135,136,137,136,138, 137,139,138,141,139,141,140,141,139,140,138,137,136,134,133,129,130,126,127,125,123,123,122,122, 122,122,121,123,122,125,125,127,127,130,130,130,132,132,133,133,133,133,132,133,131,132,130,130, 129,128,128,126,126,123,123,121,122,120,121,119,120,120,118,119,118,119,119,119,117,119,117,118, 116,117,114,115,114,112,113,111,112,110,111,110,111,110,111,111,112,112,113,112,114,115,115,116, 116,117,117,117,118,117,119,118,119,119,118,119,118,119,118,119,117,117,115,115,113,113,111,111, 109,109,108,109,109,108,110,110,112,112,115,115,117,119,120,122,123,125,125,127,127,129,130,131, 132,133,133,134,135,136,135,137,137,137,138,138,139,138,139,138,137,138,137,137,136,136,135,135, 134,132,133,131,132,131,130,131,129,130,128,130,128,129,128,129,129,129,130,129,129,131,130,131, 131,132,132,133,134,133,134,134,133,134,133,133,134,133,134,133,134,135,134,136,135,137,136,138, 138,138,139,138,139,138,138,137,137,136,134,133,133,130,130,128,129,127,127,124,125,122,123,121, 121,121,120,121,120,120,122,122,123,124,125,126,128,129,130,132,132,134,133,135,135,136,135,136, 136,136,136,136,136,136,135,135,136,134,135,133,134,134,134,134,133,134,134,135,134,135,135,135, 136,136,136,137,136,136,136,134,135,133,134,131,132,131,129,129,127,127,126,125,125,125,125,126, 126,129,129,132,132,136,136,140,140,144,144,148,147,149,148,150,149,147,148,146,144,142,141,137, 137,133,133,130,130,127,127,125,125,123,124,123,121,122,121,122,120,122,121,122,122,122,123,124, 122,124,124,124,123,124,123,124,123,123,124,123,124,122,124,122,124,122,124,124,123,124,124,124, 124,124,124,123,124,123,123,122,122,122,120,120,118,118,117,116,115,114,113,112,112,111,109,109, 108,107,107,105,106,103,104,104,103,104,103,104,104,106,106,107,109,109,111,113,112,114,115,115, 116,115,116,117,116,116,116,117,116,117,118,117,119,119,118,119,119,120,120,119,120,119,120,120, 120,119,120,120,121,120,121,123,123,123,124,124,125,125,127,126,128,127,129,129,128,129,129,129, 129,129,129,128,129,128,129,128,130,130,131,131,131,131,133,134,134,135,136,136,137,138,139,139, 140,141,141,140,141,140,140,138,139,138,137,136,134,133,131,130,129,127,126,125,124,124,123,123, 124,124,126,126,127,128,129,130,132,132,134,135,136,136,137,137,138,138,138,138,137,137,136,136, 135,132,133,131,131,130,128,128,126,127,126,127,127,127,127,128,128,129,129,130,130,130,131,130, 131,131,130,131,130,130,130,130,129,129,129,128,127,127,127,126,127,126,127,127,128,128,129,132, 131,134,135,136,138,139,140,143,142,145,144,146,145,146,146,145,144,142,141,139,137,135,134,131, 131,128,128,126,127,126,126,126,127,127,129,130,132,133,135,137,137,139,139,141,140,140,141,140, 141,139,140,138,139,138,138,136,136,135,135,132,133,131,132,130,131,129,130,129,129,128,129,129, 129,129,128,130,128,129,127,128,127,127,126,124,124,122,123,121,121,119,120,119,117,117,116,116, 115,116,114,115,114,115,114,115,114,115,114,116,116,116,117,118,119,119,120,120,122,122,123,122, 123,123,124,122,123,121,120,119,117,117,115,115,114,112,112,111,110,111,109,110,110,110,109,110, 109,110,109,110,109,109,108,109,108,110,109,111,111,112,112,114,115,116,117,118,118,120,120,121, 121,122,122,123,123,124,123,125,125,125,127,127,128,128,130,130,131,132,131,132,131,132,132,130, 131,129,129,127,128,126,125,124,123,123,121,121,120,120,120,119,120,119,121,121,123,123,125,127, 127,130,130,133,134,136,138,139,141,141,143,142,144,144,143,142,142,139,140,137,137,134,135,132, 133,131,131,129,130,128,129,128,129,130,128,130,129,131,130,131,130,131,130,131,130,131,130,131, 130,130,129,129,128,127,128,126,125,125,125,125,125,126,126,126,127,128,127,130,129,132,132,133, 134,136,135,138,137,139,138,139,138,139,139,137,138,136,135,134,133,132,132,130,130,127,128,126, 127,126,125,126,126,126,128,128,130,131,133,135,135,137,137,139,138,140,139,141,140,140,139,139, 138,138,136,136,134,134,133,131,132,132,132,132,131,133,133,135,134,137,137,138,139,140,140,140, 140,140,139,140,138,138,136,136,135,134,133,132,131,130,129,128,127,126,125,124,123,124,124,124, 124,124,123,125,124,126,125,127,128,128,129,129,130,129,131,131,131,130,131,130,131,129,130,129, 129,128,127,126,125,124,122,122,120,120,118,118,116,116,114,114,113,114,112,114,112,114,114,114, 115,115,116,116,117,118,117,118,118,118,118,118,118,118,118,116,118,116,117,116,117,116,117,116, 117,117,115,117,115,116,115,116,115,115,115,114,115,116,114,116,115,117,117,116,118,117,118,117, 119,117,117,118,118,117,118,116,117,116,117,116,118,118,118,120,120,123,123,124,125,126,128,129, 130,132,133,134,135,136,136,136,135,136,136,135,134,134,132,132,130,130,128,128,126,126,124,124, 124,122,123,123,124,125,124,127,126,129,128,131,130,132,133,133,134,133,135,135,134,134,134,134, 133,133,133,133,133,131,132,131,132,131,132,131,132,132,133,132,133,133,134,134,135,136,135,136, 135,136,136,134,135,134,132,132,130,130,128,127,127,124,125,122,123,121,121,120,120,119,119,119, 120,120,121,123,123,124,126,126,128,129,129,131,130,132,133,133,135,134,136,135,135,135,134,134, 134,134,133,133,132,133,132,132,131,133,132,133,132,134,133,135,135,135,136,136,137,136,136,136, 135,134,133,132,132,129,129,127,127,126,125,125,125,126,126,127,128,130,130,132,132,135,136,137, 139,139,140,142,142,143,143,144,144,144,143,143,142,142,141,139,140,137,138,135,135,133,133,130, 131,129,129,127,127,125,126,125,124,125,123,125,123,125,124,125,124,124,124,123,124,123,125,124, 124,125,124,126,125,126,126,126,127,126,127,126,127,125,126,124,125,124,123,124,122,123,122,123, 121,122,122,121,122,121,121,121,119,120,119,119,117,117,117,115,116,113,114,113,112,113,113,111, 113,112,112,111,112,112,113,113,112,114,113,114,113,115,114,115,114,116,116,118,119,120,121,122, 123,123,124,124,125,124,125,125,124,125,123,124,122,123,121,122,121,122,121,122,121,123,122,124, 123,125,125,126,126,126,127,128,128,128,128,128,129,130,129,130,130,130,129,130,129,129,129,128, 128,127,127,126,127,126,127,127,129,129,131,132,131,133,132,135,135,135,136,136,138,138,136,136, 135,133,134,133,135,134,135,135,134,133,132,130,128,128,128,126,127,125,125,126,125,125,126,126, 127,127,129,129,130,131,131,132,132,133,132,133,133,131,131,129,130,129,128,129,129,127,128,126, 126,124,124,122,122,122,120,122,122,122,123,123,125,127,127,130,130,133,135,135,137,136,138,138, 137,138,139,138,140,141,143,143,145,143,144,142,142,140,139,140,139,141,140,141,140,137,136,132, 131,128,128,126,126,125,127,127,129,129,131,130,132,131,133,132,134,135,135,138,138,140,143,144, 146,146,147,147,147,147,148,148,148,148,147,144,143,140,139,137,137,136,137,136,137,136,136,135, 133,129,129,126,122,120,116,114,111,108,107,105,104,104,102,103,102,100, 99, 98, 96, 96, 94, 95, 95, 93, 94, 93, 91, 92, 90, 91, 91, 93, 93, 93, 91, 91, 89, 86, 85, 82, 82, 80, 81, 79, 81, 82, 82, 84, 85, 87, 89, 91, 92, 95, 97, 99,100,104,106,109,111,113,115,115,117,116,118,118,117,118, 117,119,119,118,120,119,120,121,121,121,121,122,122,125,127,132,136,140,143,147,149,152,155,156, 158,159,160,160,161,159,159,156,156,154,154,152,152,152,151,151,150,150,147,146,142,138,136,131, 128,124,120,119,115,115,112,112,110,110,109,109,109,109,111,111,113,114,116,117,117,119,119,121, 122,122,124,123,125,125,123,123,121,120,118,115,114,112,112,113,114,114,117,118,121,124,125,127, 129,131,134,136,140,143,146,148,151,151,153,152,153,152,153,154,154,155,155,157,158,158,159,159, 160,160,161,161,162,161,160,161,159,160,158,159,158,159,157,158,156,157,157,156,158,158,160,158, 158,156,153,151,149,149,149,149,151,152,155,157,159,159,161,161,164,166,169,173,174,178,179,181, 180,180,177,175,171,166,163,156,153,148,143,140,136,133,130,129,127,127,126,127,128,130,131,135, 136,140,141,145,146,148,150,151,153,154,157,158,161,161,161,161,161,159,156,154,151,149,145,144, 142,141,140,137,137,134,133,131,128,125,120,119,115,114,111,107,104, 99, 96, 93, 89, 88, 85, 85, 85, 84, 83, 82, 81, 79, 78, 76, 75, 73, 72, 71, 70, 70, 70, 70, 71, 71, 71, 70, 70, 68, 69, 68, 69, 69, 71, 72, 72, 75, 74, 76, 75, 77, 76, 77, 76, 78, 79, 80, 80, 83, 86, 87, 90, 92, 93, 95, 96, 98, 99,101,101,101,101,100,100, 98, 96, 95, 92, 92, 90, 91, 92, 93, 95, 97,100,102,106,108, 112,115,118,122,124,129,133,135,139,139,142,142,144,144,145,144,145,144,145,146,145,146,144,144, 141,140,137,136,133,132,130,128,127,127,124,125,122,122,119,117,114,112,109,108,107,104,105,102, 103,102,103,104,105,109,111,116,119,123,125,128,129,128,128,126,125,123,120,121,120,118,119,118, 117,118,117,118,119,118,119,118,119,117,117,116,115,115,114,116,115,116,117,117,119,121,122,127, 130,133,137,139,141,143,143,143,145,146,149,150,153,155,157,158,157,158,159,160,161,162,163,164, 164,165,164,164,164,162,162,161,160,162,162,163,165,166,168,169,171,172,171,172,170,170,169,170, 170,170,173,173,176,176,176,177,176,176,174,174,172,172,171,168,166,162,159,155,152,147,144,141, 140,139,139,139,141,142,144,145,148,149,151,151,154,153,157,157,161,162,163,164,163,164,163,164, 162,164,163,164,164,164,164,164,162,161,159,158,155,153,149,146,144,140,138,134,129,126,120,116, 112,106,104,100, 99, 95, 95, 92, 89, 87, 83, 81, 78, 77, 74, 75, 75, 75, 77, 79, 81, 83, 86, 87, 89, 90, 89, 89, 89, 87, 87, 85, 85, 83, 84, 82, 83, 81, 80, 80, 79, 79, 79, 78, 79, 79, 79, 78, 79, 79, 80, 80, 82, 83, 84, 89, 92, 97,100,106,108,113,115,116,118,117,118,116,116,114,114,111, 110,108,106,106,106,107,108,110,113,115,119,122,126,129,131,132,134,134,135,135,137,138,138,140, 140,143,143,145,145,144,145,143,144,141,141,137,136,132,131,128,124,121,117,115,111,109,106,105, 103,100, 98, 95, 93, 91, 89, 90, 89, 92, 94, 96,100,103,107,110,115,119,124,126,129,130,132,131, 133,131,132,131,129,129,127,126,123,122,119,119,117,118,117,119,119,118,118,117,117,117,117,117, 118,118,120,120,123,124,125,124,126,126,129,131,133,135,137,137,140,140,143,143,142,143,143,144, 145,146,148,149,152,154,157,159,159,161,160,159,159,159,160,162,162,164,164,166,166,166,164,163, 161,161,159,159,157,157,156,156,155,157,157,159,159,160,162,164,166,168,171,174,174,176,175,175, 174,170,168,165,161,159,155,153,149,147,144,142,138,137,135,134,134,134,133,135,136,140,141,145, 145,149,149,152,154,156,159,160,163,164,166,166,167,165,164,163,162,162,162,161,159,159,156,155, 152,150,147,144,142,139,137,134,133,130,129,127,125,122,121,118,114,111,107,105,101, 98, 95, 94, 91, 92, 90, 91, 90, 91, 89, 90, 89, 89, 89, 87, 88, 86, 87, 86, 84, 84, 81, 82, 80, 80, 79, 79, 80, 79, 79, 77, 78, 76, 77, 77, 76, 77, 77, 79, 80, 82, 84, 87, 88, 92, 95, 96,100,101,104,105, 106,107,107,107,106,105,102,101, 98, 97, 96, 94, 94, 93, 95, 97, 98,102,105,107,111,113,116,118, 121,124,125,128,130,130,132,132,134,135,135,138,141,142,145,145,147,147,147,146,146,144,144,143, 142,142,139,139,137,137,134,133,130,129,125,122,119,114,111,107,107,104,105,103,105,104,107,108, 111,113,118,120,125,128,132,134,135,137,136,137,134,133,132,129,127,124,122,119,117,113,112,109, 107,105,104,102,101,101,100,101,101,101,104,103,106,107,108,111,114,119,123,129,133,136,140,142, 143,142,142,140,139,137,135,134,132,131,129,129,127,126,125,124,123,123,123,124,125,128,132,134, 139,142,146,150,152,156,159,163,165,169,170,172,172,171,169,166,164,161,159,156,155,153,154,154, 157,158,158,160,161,162,164,164,167,169,170,173,175,175,176,175,175,174,172,172,170,168,167,164, 160,157,153,148,144,140,136,133,130,129,127,125,125,123,123,121,122,121,123,123,127,129,133,137, 142,146,152,156,161,165,169,172,172,173,170,169,166,163,157,154,148,143,138,130,125,117,112,105, 100, 95, 91, 85, 83, 78, 78, 75, 76, 76, 78, 81, 84, 88, 91, 97,100,105,108,112,113,116,116,114, 113,109,107,103, 99, 96, 90, 87, 81, 78, 75, 72, 70, 67, 65, 65, 64, 65, 67, 69, 72, 75, 77, 81, 83, 89, 92, 98,102,108,111,117,119,123,122,123,120,119,115,112,108,103,100, 95, 90, 87, 84, 80, 80, 79, 82, 84, 89, 94, 99,105,111,116,124,129,136,141,147,151,157,161,165,167,170,172,171,172, 170,169,165,163,158,155,151,149,146,143,142,138,137,134,132,130,128,127,126,125,126,125,125,124, 124,122,122,124,124,125,127,128,130,132,132,135,134,136,135,136,136,135,136,136,137,137,136,137, 137,135,136,134,133,133,134,134,135,137,138,141,141,144,143,145,144,142,140,138,134,132,128,126, 123,119,117,114,112,109,104,102,100,100,100,102,103,106,109,113,118,121,125,127,131,133,138,140, 145,147,151,153,155,156,157,157,157,156,153,153,151,149,148,146,143,140,137,133,130,128,125,125, 124,126,128,132,136,141,145,151,156,162,167,175,179,186,189,193,195,196,196,196,192,189,184,180, 175,169,163,155,149,141,136,128,124,118,117,113,114,114,116,119,124,128,134,139,146,151,155,161, 163,167,169,170,172,172,173,172,169,168,164,162,158,153,149,144,140,134,131,126,121,117,113,111, 108,107,105,105,104,105,105,108,108,110,110,111,111,110,110,108,107,104,101, 97, 95, 90, 88, 84, 82, 78, 77, 73, 72, 72, 70, 71, 72, 72, 75, 76, 77, 79, 79, 81, 82, 85, 87, 89, 92, 95, 96, 98, 97, 98, 96, 96, 94, 93, 89, 89, 85, 84, 80, 79, 76, 75, 75, 75, 77, 77, 80, 81, 84, 85, 88, 90, 92, 94, 96, 96, 98, 98,101,101,104,106,107,112,115,118,121,123,125,127,127,129,128,130,130,132, 132,131,132,130,131,129,131,129,132,131,135,135,139,141,143,147,150,152,156,157,160,163,164,165, 164,163,161,158,155,150,145,139,134,129,123,120,116,114,112,111,110,109,109,111,112,115,119,121, 127,130,137,141,147,150,154,155,158,157,158,158,156,156,153,152,148,147,143,140,134,131,126,123, 119,117,115,112,112,109,111,110,110,108,110,108,110,111,111,114,115,119,121,125,127,132,132,136, 136,138,137,139,138,139,138,136,135,132,131,127,126,124,124,124,125,127,129,132,135,138,140,143, 144,147,148,151,152,152,154,154,155,154,154,153,153,152,152,152,153,154,153,153,154,153,154,154, 155,155,157,157,160,161,163,165,168,169,170,172,171,171,171,168,168,167,165,165,163,163,162,160, 160,158,156,155,150,149,144,143,138,137,133,130,127,126,124,124,125,125,125,127,129,133,135,138, 140,143,145,146,149,150,152,152,152,152,150,150,148,145,142,138,134,129,126,120,116,110,107,101, 99, 94, 93, 88, 88, 84, 85, 84, 85, 86, 88, 91, 92, 96, 97,101,103,105,107,107,108,107,106,104, 101, 97, 93, 88, 83, 78, 73, 67, 63, 58, 55, 51, 50, 47, 48, 47, 49, 51, 54, 58, 62, 67, 71, 78, 85, 93, 99,107,113,118,122,125,127,127,126,124,122,119,116,112,108,102, 98, 93, 90, 86, 85, 83, 82, 83, 83, 87, 90, 95,100,103,109,113,119,123,130,135,140,144,148,151,154,156,158,158,159,159, 160,159,160,160,158,158,156,155,152,150,147,143,141,139,136,136,135,135,135,135,137,137,139,140, 142,144,146,149,150,154,155,158,158,159,157,158,155,152,150,146,143,139,137,135,132,130,127,126, 124,123,121,121,121,122,123,126,129,131,136,138,141,144,145,148,149,149,150,149,149,147,145,142, 139,134,131,127,124,121,119,116,116,115,116,115,116,116,116,117,117,119,120,122,124,126,128,131, 134,138,140,143,146,148,150,150,150,150,148,146,142,139,134,128,125,119,117,113,112,112,112,115, 117,121,125,130,135,141,147,153,159,166,172,179,184,190,193,198,199,199,198,195,190,186,180,174, 167,160,151,144,136,131,126,120,118,114,114,113,113,112,115,116,120,122,127,130,135,139,143,148, 151,155,159,161,165,167,166,167,165,165,163,160,158,155,153,149,147,143,141,137,134,132,129,128, 126,125,124,124,123,123,121,122,120,121,121,119,120,118,117,116,112,111,107,105,100, 98, 94, 89, 87, 82, 80, 77, 74, 73, 70, 70, 69, 69, 69, 69, 70, 70, 73, 74, 78, 80, 82, 85, 86, 89, 90, 91, 93, 92, 93, 93, 93, 95, 94, 95, 94, 95, 94, 93, 93, 91, 91, 90, 89, 88, 87, 88, 87, 88, 87, 86, 88, 86, 88, 87, 89, 91, 92, 95, 97, 99,103,104,107,109,111,113,116,117,119,120,121,121,122,121, 121,119,119,117,119,120,122,124,130,133,139,144,149,154,158,162,166,168,170,173,175,176,175,174, 173,169,166,160,155,148,142,136,131,125,122,117,115,111,110,107,108,107,106,107,109,112,116,120, 125,130,134,139,145,149,153,156,160,161,164,165,167,168,167,165,162,159,157,153,151,147,145,141, 139,135,133,129,125,123,120,116,115,112,112,109,111,109,112,113,116,117,121,122,126,128,129,131, 131,132,129,129,127,126,123,122,119,119,117,118,118,120,121,122,125,126,129,130,131,132,132,133, 133,135,136,139,139,142,142,145,145,147,148,149,149,149,150,150,150,150,150,149,149,149,149,148, 148,147,145,145,144,144,143,143,142,142,142,143,143,144,145,146,148,148,151,151,153,152,153,151, 151,150,149,149,147,146,144,144,142,142,140,138,139,138,139,138,140,140,141,143,143,146,147,149, 151,154,156,157,159,159,160,160,158,157,153,151,147,142,135,131,124,120,114,110,104,101, 96, 93, 89, 88, 86, 84, 84, 83, 86, 87, 89, 93, 96,100,104,107,112,116,118,122,123,127,128,130,129,129, 126,123,117,112,105, 98, 92, 84, 78, 73, 67, 63, 60, 56, 55, 54, 55, 57, 59, 62, 67, 70, 76, 81, 87, 92, 98,103,106,109,112,113,116,116,117,115,115,112,110,107,104,101, 96, 95, 93, 92, 93, 95, 96,100,103,107,110,112,117,120,123,125,130,133,136,141,144,149,153,154,158,159,161,161,163,164, 164,164,163,162,160,158,154,151,145,142,136,133,128,126,124,122,122,121,123,123,125,127,130,134, 138,142,147,150,155,158,162,163,166,168,169,170,169,169,167,166,164,161,158,154,151,146,144,139, 137,133,133,130,130,129,129,129,128,130,130,131,131,132,131,132,130,129,128,126,125,123,122,120, 117,117,115,115,114,115,114,116,115,116,115,115,115,116,117,118,120,124,126,130,133,138,140,144, 148,149,152,152,153,152,152,149,147,145,140,137,131,128,121,117,112,107,104,101,100, 99,100,101, 102,105,108,113,118,124,130,135,142,147,153,157,160,164,165,168,170,170,171,170,170,168,166,163, 159,156,151,149,145,141,139,134,133,129,129,127,126,127,128,129,130,133,134,137,138,140,141,143, 143,144,143,143,141,142,139,139,136,135,132,132,129,128,126,124,121,120,117,116,114,114,113,114, 114,115,116,117,119,120,122,123,126,126,129,130,132,133,131,131,130,126,125,121,118,115,110,108, 104,102, 99, 98, 95, 94, 91, 90, 87, 86, 84, 83, 82, 80, 79, 79, 77, 78, 77, 78, 77, 80, 80, 84, 85, 88, 92, 94, 97, 98,100,100,101, 99,100, 99, 99, 98, 99, 99, 99, 99, 99, 97, 98, 96, 97, 95, 97, 96, 98, 99,103,104,108,111,113,116,117,120,120,122,122,124,124,123,123,121,119,116,114,110, 108,105,105,104,106,107,112,115,121,125,130,136,141,147,152,158,162,167,170,174,175,177,178,177, 177,175,174,172,168,167,162,160,156,153,149,146,141,139,136,134,132,130,131,130,130,131,132,134, 135,138,140,143,144,148,149,152,153,155,156,158,158,157,157,155,154,151,150,146,144,141,137,134, 130,125,123,119,118,115,116,116,116,118,120,123,126,130,133,137,140,142,145,147,148,150,150,150, 151,150,149,147,146,143,139,137,132,130,126,124,120,119,117,114,113,111,111,109,110,109,111,111, 112,114,116,116,120,123,126,131,135,141,145,151,156,160,164,166,169,171,169,170,168,167,164,162, 160,156,155,151,150,147,146,143,143,140,141,138,139,137,136,136,134,134,132,133,131,132,131,132, 130,131,129,129,128,126,123,122,119,117,114,113,111,111,110,112,112,115,117,120,124,127,132,135, 141,144,149,152,157,159,160,161,160,160,157,154,151,146,142,137,132,126,122,116,109,104, 97, 92, 85, 81, 76, 73, 70, 67, 67, 66, 68, 68, 72, 74, 79, 83, 87, 93, 98,102,107,110,113,115,113,114, 110,109,105,103, 99, 97, 93, 91, 88, 87, 85, 82, 82, 79, 80, 79, 81, 81, 84, 87, 89, 94, 97,102, 104,107,110,112,112,115,115,117,116,117,116,113,111,107,104,101, 97, 93, 89, 88, 87, 86, 85, 86, 87, 87, 90, 90, 93, 96, 98,102,107,111,118,124,129,136,142,150,156,165,171,179,183,189,191,195, 194,195,192,189,186,180,176,169,162,156,149,144,138,132,130,125,124,120,120,119,118,120,120,123, 124,128,129,133,134,138,140,142,143,147,147,150,150,150,151,150,149,149,147,147,146,146,146,147, 147,147,148,148,150,149,152,152,154,154,155,155,155,156,157,157,157,157,156,154,151,149,144,141, 137,131,127,122,118,112,109,105,103, 99, 99, 97, 97, 98,100,101,104,106,111,114,119,123,129,134, 140,146,151,154,158,160,162,161,161,158,157,154,149,147,142,140,137,135,133,133,131,132,133,134, 136,136,139,140,141,143,144,147,148,151,153,154,156,157,157,159,160,159,159,157,154,152,148,143, 139,133,129,124,122,119,116,115,114,114,114,114,116,117,121,124,127,130,135,137,142,145,149,151, 155,156,159,159,161,161,162,160,159,159,155,153,149,143,139,133,128,122,117,111,108,103, 99, 97, 94, 92, 90, 90, 89, 90, 91, 91, 93, 94, 96, 97, 99, 99,101,102,101,103,103,105,105,107,108,108, 109,110,108,109,107,104,103,100, 98, 95, 93, 92, 89, 88, 86, 85, 83, 82, 80, 80, 80, 81, 82, 83, 84, 87, 87, 89, 89, 90, 89, 89, 87, 87, 84, 84, 82, 82, 80, 78, 77, 75, 75, 72, 73, 73, 73, 76, 78, 81, 84, 90, 94,100,105,112,118,124,128,134,136,140,141,144,143,144,143,141,139,136,134,132, 129,129,127,129,128,130,131,131,133,133,135,137,137,140,140,142,143,142,143,143,144,143,144,144, 145,146,145,146,145,143,143,141,141,139,138,139,137,138,137,138,138,140,140,143,143,146,147,150, 151,153,157,158,162,165,167,168,171,171,172,171,171,168,167,163,160,156,150,147,141,137,131,127, 122,120,116,114,111,109,108,107,106,105,108,108,111,114,117,122,126,131,136,140,146,149,153,156, 158,161,162,164,163,165,164,163,163,162,159,158,155,153,149,146,141,138,133,130,126,122,120,117, 117,117,116,118,119,123,125,130,133,138,142,144,147,150,150,152,151,152,151,152,150,152,150,152, 151,151,150,151,150,150,150,149,148,149,149,150,150,152,152,153,154,155,157,158,158,159,160,159, 159,158,157,153,151,147,142,137,132,128,122,119,115,113,109,109,106,107,107,107,109,110,113,115, 116,120,122,125,128,129,131,132,134,135,137,137,139,139,138,138,137,133,131,128,122,119,114,111, 108,104,103, 99, 99, 97, 98, 96, 97, 96, 98, 97, 99, 99,102,102,104,103,104,102,101, 98, 95, 91, 87, 82, 79, 75, 71, 67, 63, 61, 57, 55, 55, 54, 55, 55, 58, 59, 64, 66, 71, 74, 80, 83, 89, 93, 98,103,106,110,113,116,120,123,124,126,126,127,126,125,124,122,120,118,114,112,107,105,100, 97, 93, 90, 88, 86, 83, 84, 83, 85, 87, 91, 95,100,106,111,119,126,134,140,147,153,157,162,166,167, 169,168,168,165,164,161,159,155,153,149,147,143,141,138,137,136,134,135,134,136,137,139,141,142, 144,145,147,148,150,150,151,151,150,150,150,148,147,145,144,141,140,137,136,134,130,129,126,125, 123,121,121,119,121,122,124,125,129,131,135,138,141,145,147,151,152,155,156,158,158,159,157,157, 156,154,151,149,145,143,138,135,132,128,127,124,124,123,123,122,124,125,126,129,131,134,135,139, 140,142,141,142,141,140,140,138,137,136,134,133,132,131,132,131,132,131,133,133,135,136,138,140, 141,144,147,151,154,158,161,164,168,170,173,174,177,177,180,179,180,179,176,175,170,167,162,156, 152,147,142,138,132,129,124,122,119,116,114,112,111,110,110,109,111,112,114,115,119,121,126,129, 134,139,143,148,152,156,158,162,162,164,162,162,158,157,153,150,147,144,140,138,135,132,128,125, 122,117,115,111,110,107,107,106,104,103,102,100,101,100, 98, 99, 98, 99, 98, 99, 98, 99, 97, 98, 96, 96, 93, 93, 91, 87, 86, 83, 82, 78, 78, 76, 75, 73, 74, 73, 75, 77, 78, 82, 84, 89, 91, 95, 100,102,105,108,108,110,109,110,108,107,103,102, 97, 95, 91, 86, 84, 80, 79, 77, 74, 74, 74, 74, 74, 76, 77, 80, 82, 85, 88, 91, 93, 97, 99,103,105,108,112,113,116,117,120,122,125,127,130,132, 136,137,141,142,145,148,149,151,152,155,156,157,158,158,160,160,158,159,157,156,155,154,153,151, 150,149,148,146,145,143,141,137,135,132,130,127,123,119,118,114,113,111,111,113,113,117,119,123, 126,131,134,139,145,148,153,155,160,161,165,167,169,169,170,170,170,169,166,165,161,159,155,150, 147,142,139,134,130,125,123,119,117,114,111,109,107,107,107,107,109,110,111,114,116,120,122,127, 129,134,136,140,143,144,147,148,147,147,145,143,142,139,138,135,135,133,133,133,133,132,134,134, 136,138,140,144,146,150,153,157,159,162,164,167,168,168,168,168,166,166,163,162,158,156,152,149, 146,141,138,134,132,129,126,125,123,123,123,123,125,125,127,130,132,136,138,143,146,150,153,155, 158,159,158,159,158,157,157,155,155,154,154,152,150,149,145,143,141,137,136,133,133,130,131,129, 129,128,129,128,129,128,128,127,127,127,125,125,122,121,119,116,112,109,105,102, 98, 94, 92, 89, 87, 87, 85, 86, 86, 88, 89, 92, 95, 97,101,103,107,108,112,113,115,115,116,115,115,113,112,110, 106,104,100, 98, 93, 91, 87, 85, 82, 80, 77, 74, 74, 71, 70, 69, 68, 68, 67, 67, 67, 68, 68, 70, 71, 74, 78, 80, 85, 89, 93, 96,101,105,109,112,115,117,118,120,120,121,120,119,116,116,113,112, 109,109,108,106,108,108,108,111,112,115,119,121,126,129,135,140,145,148,153,155,158,159,160,160, 158,157,153,151,145,142,137,132,130,126,124,122,120,120,119,120,120,122,122,125,126,129,132,134, 138,140,145,149,152,157,160,165,167,170,171,173,172,173,172,169,167,164,161,157,154,149,146,141, 138,134,130,128,125,124,123,122,122,122,122,123,124,126,126,128,130,130,132,132,133,133,134,134, 133,131,131,130,130,129,131,131,133,135,135,138,139,141,142,143,144,145,146,146,147,147,148,148, 149,150,149,149,148,147,145,144,142,141,138,138,136,134,131,129,127,125,125,124,122,124,124,124, 127,127,131,132,136,137,141,143,146,150,154,156,161,163,167,169,171,171,172,171,171,170,170,169, 167,166,163,160,157,154,149,145,140,137,133,131,128,126,125,122,123,122,122,123,123,124,124,126, 127,129,130,133,134,137,138,138,140,139,140,140,138,138,136,136,133,132,130,128,126,123,122,119, 119,116,114,113,112,112,111,112,111,113,114,115,117,117,120,120,122,122,122,123,121,121,118,116, 113,109,104, 99, 94, 89, 82, 78, 72, 68, 62, 59, 55, 54, 52, 52, 52, 54, 56, 59, 62, 67, 71, 76, 79, 85, 89, 92, 96, 99,100,103,104,103,105,104,105,104,104,103,104,104,105,104,106,104,105,104, 103,103,101,101,100,100,100, 99,100, 99,100,100,101,103,104,105,106,107,110,112,113,116,118,120, 124,126,129,131,134,135,138,139,139,141,141,142,142,143,143,144,146,147,148,152,153,157,159,161, 164,165,165,166,165,163,162,160,157,155,151,149,145,143,140,137,135,132,131,130,127,128,127,128, 127,128,128,129,129,131,132,132,135,136,139,141,141,144,146,146,147,147,149,148,149,149,148,149, 147,146,144,143,140,137,135,131,130,127,126,125,124,125,125,127,128,131,134,135,138,139,143,144, 146,146,148,147,147,146,145,143,142,138,136,133,131,127,125,123,120,118,116,115,114,112,113,113, 116,117,122,125,131,136,140,146,150,156,160,165,168,173,176,178,180,181,181,180,177,176,173,170, 167,163,160,156,154,151,148,146,143,140,139,135,134,131,131,129,127,128,127,128,129,128,130,130, 131,131,133,132,133,133,134,133,134,133,133,134,134,133,134,134,136,135,137,138,138,141,141,143, 145,146,146,148,148,148,149,147,147,145,144,141,139,136,133,128,125,120,117,113,108,105,101, 97, 95, 91, 90, 87, 87, 85, 86, 85, 87, 87, 88, 88, 91, 90, 92, 92, 93, 93, 94, 93, 95, 95, 94, 95, 94, 95, 94, 95, 94, 96, 94, 96, 95, 97, 96, 96, 94, 93, 91, 89, 87, 85, 83, 82, 80, 80, 79, 80, 81, 83, 84, 87, 88, 92, 93, 96, 96, 99, 99, 99,100, 98, 97, 97, 96, 94, 93, 91, 89, 88, 86, 87, 86, 87, 88, 90, 92, 95, 98,103,109,115,120,127,133,139,145,151,155,160,163,164,167,168,167,168, 166,166,163,162,157,156,152,149,144,141,135,133,129,125,123,119,118,115,115,113,114,113,115,115, 119,120,124,126,131,133,137,139,144,146,147,150,152,152,154,154,155,155,154,154,152,151,149,148, 147,146,145,146,145,146,146,147,148,147,148,146,147,145,144,143,140,139,138,135,134,132,129,128, 125,125,122,122,120,122,121,121,121,121,122,121,122,122,124,125,126,129,130,133,136,137,140,142, 144,144,147,148,151,151,154,154,156,156,157,157,157,156,156,154,154,152,153,152,152,152,151,151, 150,149,147,146,145,144,144,143,144,145,145,147,148,148,150,150,152,152,151,151,150,150,147,147, 144,144,142,140,137,138,135,136,135,134,135,134,136,136,138,139,139,141,142,145,146,148,149,152, 153,155,156,158,158,159,158,159,157,157,154,153,149,147,142,139,135,130,126,121,118,114,109,106, 102,100, 98, 95, 95, 94, 94, 95, 95, 98,100,104,106,111,114,118,122,124,127,129,129,131,131,129, 128,124,122,117,114,109,105, 99, 96, 91, 88, 84, 83, 80, 80, 80, 79, 81, 81, 82, 82, 84, 84, 84, 84, 84, 83, 83, 82, 82, 81, 82, 81, 82, 82, 82, 83, 84, 85, 85, 87, 88, 87, 89, 88, 90, 90, 91, 92, 92, 94, 93, 96, 96, 98, 98,100,103,104,107,108,112,115,118,121,125,127,132,133,136,137,138, 139,140,138,139,137,138,136,135,132,131,129,127,127,124,125,122,124,122,124,124,125,125,127,129, 129,131,132,134,135,137,136,139,138,140,139,141,140,140,140,140,141,141,142,142,144,145,145,146, 146,147,146,146,146,144,145,144,145,144,146,145,147,146,146,145,145,144,142,141,139,136,134,130, 127,122,119,114,112,109,106,105,103,104,105,105,108,110,113,117,119,124,127,133,137,141,146,149, 153,156,157,160,159,160,160,158,157,154,153,150,148,145,142,139,135,132,128,125,122,120,118,118, 117,118,119,122,123,127,129,133,135,139,141,144,146,149,150,152,155,156,157,159,159,160,160,160, 160,160,160,160,158,158,156,156,155,153,153,151,152,150,151,150,150,151,151,152,152,154,153,154, 154,152,152,150,149,147,146,143,142,139,138,136,133,133,132,131,131,130,130,129,131,130,132,132, 132,134,134,136,137,137,139,139,140,140,140,139,140,138,138,138,135,136,133,133,131,129,128,126, 126,124,122,122,119,119,116,115,112,110,107,105,102, 98, 96, 92, 91, 89, 86, 86, 85, 84, 85, 85, 86, 88, 87, 89, 87, 89, 87, 87, 85, 85, 83, 83, 81, 81, 79, 80, 79, 81, 81, 84, 86, 88, 92, 94, 98,100,104,106,110,112,115,116,119,119,120,119,117,116,112,111,107,103,101, 97, 95, 92, 91, 90, 88, 89, 88, 89, 91, 91, 95, 96,100,103,106,110,114,118,121,126,128,133,135,140,142,145,147,149, 151,151,152,153,151,152,150,150,148,148,145,145,143,142,140,139,136,135,132,131,129,128,128,127, 129,129,132,132,135,135,137,138,138,140,139,140,139,138,137,136,133,133,130,131,129,129,129,129, 129,130,130,131,131,132,132,132,133,132,132,132,132,132,132,133,134,134,134,134,133,133,134,134, 135,135,135,137,136,136,135,134,134,133,131,129,128,125,125,122,123,121,120,120,120,118,119,117, 118,117,116,117,117,118,118,120,120,123,124,126,128,130,133,136,136,140,142,143,145,146,148,149, 151,151,153,152,155,154,157,156,159,159,162,161,163,162,164,162,162,162,159,159,157,154,152,148, 146,144,141,138,136,134,133,130,129,127,126,124,124,123,122,123,123,125,127,128,130,133,136,139, 142,145,148,152,154,158,159,162,163,164,165,164,164,163,160,160,156,153,150,146,143,140,136,132, 129,124,122,118,117,114,114,111,113,111,113,113,115,115,117,117,119,118,119,117,117,114,113,111, 108,107,103,102,100, 98, 97, 97, 95, 97, 97, 96, 98, 97,100,100,100,101,103,102,104,104,105,106, 106,107,107,108,108,109,108,109,108,110,108,110,108,109,107,108,105,104,101,100, 96, 94, 91, 89, 86, 85, 82, 82, 81, 80, 82, 81, 84, 85, 89, 93, 96,101,106,111,114,120,123,129,131,136,139,141, 144,147,147,150,150,152,152,151,151,149,148,146,144,143,141,141,139,139,139,136,137,134,134,132, 132,130,130,129,127,128,126,127,125,126,125,126,125,125,126,127,128,129,128,129,129,130,129,130, 131,131,132,133,135,138,140,143,145,149,150,153,155,156,158,158,159,158,158,156,153,151,147,144, 139,136,131,126,123,119,115,113,110,109,108,107,107,107,107,106,109,108,111,111,113,116,117,120, 122,125,126,129,129,132,133,132,133,134,132,133,131,132,130,131,129,130,128,129,130,129,131,130, 133,133,136,137,138,140,140,142,144,144,146,146,148,147,149,149,148,149,148,149,148,147,146,144, 143,140,139,137,134,132,130,128,126,125,124,124,124,124,124,126,127,130,131,134,135,139,140,143, 144,148,148,151,152,153,152,153,152,153,152,153,152,151,150,148,147,145,145,143,140,139,137,136, 134,132,130,129,126,125,124,121,121,118,117,117,115,116,115,116,116,117,117,118,118,121,121,123, 124,124,126,125,125,125,124,122,122,119,120,118,117,117,116,116,116,117,116,117,117,116,117,116, 116,116,114,114,113,110,109,106,104,100, 98, 94, 92, 90, 87, 86, 83, 83, 83, 82, 84, 84, 86, 87, 90, 91, 94, 95, 98,100,101,103,104,105,105,106,107,106,107,106,107,107,109,110,111,112,113,114, 115,114,116,116,118,118,121,121,123,125,125,127,129,129,131,131,133,133,135,136,136,137,137,137, 137,137,135,135,133,133,130,130,129,128,125,125,123,123,122,121,121,121,123,123,127,128,130,133, 135,138,140,143,145,148,149,152,153,154,156,158,157,159,158,159,157,158,156,154,154,151,151,148, 147,144,141,139,136,131,130,126,122,120,117,115,113,112,111,112,111,113,113,116,118,119,121,123, 125,126,129,130,132,134,136,138,138,140,139,141,140,141,141,139,140,138,138,136,134,134,133,131, 131,128,129,127,127,126,127,126,127,127,128,129,128,129,128,129,127,128,127,128,127,127,127,127, 127,128,128,130,130,133,133,135,136,139,140,142,144,145,148,149,150,152,152,154,153,155,153,155, 153,154,151,152,150,150,147,147,143,143,139,138,136,133,132,129,128,125,125,123,124,123,124,125, 126,128,128,131,131,134,134,137,138,138,139,139,139,139,137,138,136,134,133,132,129,129,127,127, 126,126,126,127,127,129,130,132,133,133,135,134,136,135,136,134,135,134,132,131,130,127,126,124, 120,119,117,114,112,111,107,106,104,103,101, 98, 98, 96, 96, 93, 93, 92, 91, 91, 92, 92, 93, 94, 96, 97, 99,102,104,106,110,114,116,120,122,125,126,128,127,128,125,125,123,119,117,113,111,108, 105,103,100, 99, 97, 96, 96, 94, 95, 94, 96, 96, 98,100,101,104,105,108,110,111,114,116,118,120, 122,124,126,128,128,130,130,131,132,132,132,133,133,133,133,133,133,133,132,133,133,134,134,134, 136,137,139,139,141,141,142,142,143,143,141,142,140,140,138,138,137,135,134,131,131,129,127,126, 125,124,124,122,124,124,126,127,128,130,131,134,135,137,137,140,140,141,141,142,142,141,142,141, 141,140,140,138,138,135,135,133,133,131,132,130,131,130,131,130,131,130,131,130,132,131,132,132, 132,132,132,131,131,129,129,127,127,125,124,122,121,121,120,119,117,117,116,116,116,116,117,117, 118,119,120,122,123,126,127,130,132,136,139,141,143,147,147,151,151,154,153,156,156,156,155,155, 152,152,149,148,146,142,140,137,134,132,129,128,126,124,123,122,121,121,121,121,121,121,122,123, 123,126,125,128,129,130,132,134,134,137,137,140,140,143,143,145,145,147,147,148,148,148,148,147, 145,144,142,140,140,137,137,135,136,134,134,134,134,135,133,135,133,135,133,134,131,132,130,128, 127,124,124,120,119,116,114,110,110,106,106,105,104,104,103,105,105,105,108,108,111,111,113,116, 116,118,118,121,120,122,120,122,120,121,119,120,119,119,118,118,118,118,117,117,116,115,114,113, 112,109,110,107,106,104,103,102,101,100, 99, 98, 98, 97, 98, 99, 98,100, 99,102,103,103,105,105, 107,109,110,112,113,115,116,119,120,123,125,126,129,130,134,136,137,141,142,145,145,147,147,146, 147,147,145,145,142,143,141,140,137,136,133,132,130,128,125,124,121,120,118,117,115,116,115,114, 116,115,117,117,119,121,121,125,126,129,131,135,136,141,142,146,148,151,151,154,154,156,156,154, 155,152,152,149,148,144,143,140,137,135,132,129,128,126,125,124,122,123,121,123,123,122,124,123, 125,125,126,126,127,128,128,127,128,126,127,125,125,123,123,122,122,121,120,120,120,120,120,121, 122,123,125,126,128,129,130,133,133,136,138,138,140,141,143,144,144,144,143,144,143,143,142,140, 138,137,136,134,133,131,129,128,127,125,125,122,123,121,122,121,122,121,122,123,123,124,125,126, 128,129,131,131,133,134,135,136,137,137,136,137,137,135,136,134,135,134,135,134,135,135,137,138, 138,141,142,143,145,145,146,146,144,144,142,141,138,138,135,133,130,129,126,125,124,121,121,119, 118,118,117,117,118,118,118,119,119,121,121,123,123,125,126,127,129,130,131,132,133,134,135,135, 136,136,136,135,136,134,133,133,130,129,126,124,120,118,115,111,109,105,104,101,100, 99, 98, 98, 97, 99, 99,102,102,105,106,107,110,111,113,113,115,114,115,114,115,114,114,113,113,111,111,109, 109,107,108,108,107,109,109,111,112,114,115,118,119,122,123,125,128,130,130,134,134,137,139,139, 141,141,143,143,141,141,139,138,135,134,132,128,127,124,123,120,120,118,116,116,115,116,116,118, 118,121,121,125,126,130,132,135,135,139,140,142,143,144,145,146,146,147,146,147,146,146,146,145, 145,144,143,141,142,140,140,138,139,137,138,137,136,136,135,133,133,132,130,131,128,129,127,126, 124,124,122,122,120,120,119,117,118,116,117,117,116,117,117,119,119,121,122,124,126,126,129,130, 132,133,135,136,138,138,140,140,141,140,141,139,139,136,136,133,132,129,128,125,122,121,118,117, 116,113,113,111,112,111,112,111,113,114,114,117,118,120,123,124,127,130,130,134,135,137,138,140, 140,142,142,141,142,141,141,139,140,139,137,137,136,136,135,133,134,132,133,131,131,129,130,128, 128,126,126,126,125,127,126,128,127,129,130,129,131,130,131,129,129,127,127,124,124,121,121,119, 117,117,115,115,115,116,116,118,119,122,124,126,129,131,134,136,138,141,141,143,143,145,143,144, 143,141,140,137,136,132,131,128,126,124,122,119,119,116,116,113,113,112,110,109,108,108,106,107, 105,106,105,106,105,107,106,108,108,110,111,113,115,116,118,118,121,120,123,122,124,122,124,122, 123,122,122,121,121,119,120,118,118,118,118,118,119,118,120,121,120,121,121,121,121,120,121,119, 120,119,118,118,117,118,117,118,119,119,119,120,121,121,123,125,125,128,128,131,132,135,136,138, 139,142,143,144,146,146,148,148,150,150,151,150,151,150,150,148,148,145,144,141,141,137,137,134, 134,131,131,129,129,129,128,130,129,131,130,133,133,135,136,137,139,139,141,140,142,142,141,141, 140,140,139,137,137,134,135,132,132,130,130,128,129,127,128,127,128,129,128,130,130,133,134,134, 136,136,138,139,138,139,138,138,136,136,135,132,132,128,128,125,122,121,119,116,115,112,112,110, 110,108,109,109,110,111,113,113,116,117,119,121,124,126,129,131,132,135,136,139,139,141,141,142, 141,142,141,141,139,139,139,136,137,134,134,133,131,131,128,129,126,127,127,126,127,128,127,128, 128,129,129,128,129,127,127,124,124,121,122,119,119,117,118,117,116,117,116,118,118,120,120,123, 123,126,126,128,130,130,132,133,133,134,134,134,135,135,136,135,136,135,135,134,134,133,131,131, 130,128,128,126,125,122,121,118,118,116,114,113,111,112,110,111,111,110,112,112,114,115,115,117, 117,120,120,120,122,121,122,121,121,120,119,119,117,117,115,116,114,115,115,114,115,114,116,116, 116,118,118,121,122,122,124,124,125,124,125,124,124,122,121,119,119,117,116,114,113,111,111,108, 108,105,105,103,102,101,101,100,101,101,103,104,105,108,111,113,116,119,123,126,129,132,136,139, 142,145,146,149,150,152,152,152,150,150,148,147,145,144,143,141,139,137,137,135,133,133,131,132, 130,131,130,129,130,129,130,130,129,131,129,131,131,132,132,134,135,135,137,136,138,138,140,140, 140,141,141,142,142,143,142,144,144,144,145,145,146,146,147,146,147,146,147,146,144,145,143,143, 140,140,139,137,136,134,133,130,130,127,127,125,123,122,120,120,119,117,118,116,117,116,118,117, 119,120,120,122,123,125,125,128,128,130,130,132,132,133,133,134,133,134,132,133,132,133,131,132, 132,131,131,130,131,130,131,131,130,132,131,133,132,134,134,134,135,134,134,134,133,133,131,131, 130,129,127,127,125,125,123,123,122,122,121,119,120,118,119,117,117,118,117,119,118,120,121,123, 124,126,127,131,132,136,137,139,141,141,143,143,144,143,142,141,140,137,136,132,130,126,124,120, 119,115,114,112,110,110,108,110,110,109,111,111,113,115,115,117,117,120,120,122,122,124,123,125, 124,126,125,126,126,127,127,126,127,125,126,125,125,124,123,122,121,120,119,119,117,117,115,116, 115,115,115,114,114,114,114,114,115,116,117,117,118,118,118,117,117,116,115,113,113,110,110,108, 108,106,107,106,107,106,108,108,109,109,111,113,114,115,117,118,120,122,123,125,127,127,129,129, 130,130,132,132,131,132,132,133,132,132,133,131,132,131,131,131,130,130,128,129,128,129,128,129, 129,130,130,132,131,134,133,135,135,136,137,137,136,137,137,135,136,135,136,135,134,135,135,135, 136,137,137,139,139,141,141,144,144,146,146,149,148,151,151,151,152,152,153,153,151,151,149,149, 146,145,142,140,138,135,133,129,127,123,123,119,119,117,117,116,117,118,117,119,119,122,122,126, 127,128,131,132,135,136,136,139,139,141,140,142,141,142,141,141,139,139,138,135,135,133,132,131, 129,128,127,126,126,126,125,125,124,125,125,125,126,126,125,127,126,128,127,129,129,128,129,128, 129,128,126,126,126,124,124,124,122,124,123,124,124,126,126,128,129,131,133,135,136,137,137,139, 140,140,139,139,138,138,136,136,135,133,133,130,130,128,126,126,124,123,121,121,121,120,118,119, 118,117,117,117,116,117,115,116,116,117,117,119,120,120,122,123,125,126,128,128,130,130,132,132, 133,133,133,132,131,129,129,127,128,126,126,125,125,124,124,126,125,126,125,126,125,126,125,125, 124,124,123,121,120,119,116,115,112,111,108,107,104,104,102,102,101,102,102,103,103,105,105,107, 108,109,110,112,113,114,117,118,120,121,123,124,126,126,128,129,129,128,129,127,128,125,126,124, 123,120,120,118,117,115,113,113,111,111,110,111,110,112,111,113,113,116,116,119,121,122,124,126, 128,128,131,131,133,134,135,134,136,135,136,135,135,136,135,136,136,135,136,135,136,135,136,136, 137,136,137,136,137,138,137,138,137,139,139,139,140,140,141,141,140,140,139,140,138,139,138,137, 136,135,134,134,132,133,132,131,131,130,131,129,130,130,129,131,130,132,132,132,133,134,134,136, 135,137,136,138,137,139,139,138,139,138,137,137,137,135,135,133,134,133,131,132,130,131,129,129, 129,127,128,126,126,125,125,124,125,125,125,124,124,123,124,123,124,124,124,122,123,123,124,124, 125,126,127,127,129,129,131,131,133,133,134,135,135,136,135,137,136,137,136,138,138,137,138,137, 138,137,137,136,136,134,134,133,132,130,128,126,124,123,121,120,118,118,116,116,115,116,115,116, 116,118,118,120,122,124,124,126,126,128,129,129,131,130,130,131,129,130,129,129,127,128,126,126, 126,125,126,125,126,126,127,126,126,127,126,127,126,126,126,125,126,125,126,125,126,125,125,125, 125,125,123,124,124,122,123,121,122,121,119,119,117,116,114,114,112,112,110,111,111,111,112,113, 114,115,117,119,119,121,122,124,125,126,126,127,127,128,128,128,128,127,126,126,124,124,122,122, 120,120,118,117,116,115,115,112,113,111,111,110,110,110,109,110,110,110,111,112,112,114,115,116, 118,119,122,123,126,128,129,131,133,134,135,136,138,138,139,139,140,139,140,139,140,139,140,140, 141,140,141,140,141,141,140,140,139,139,137,137,136,134,134,132,132,130,130,128,129,128,127,127, 127,127,127,128,129,130,130,132,132,134,134,137,137,139,139,142,142,144,144,146,145,146,146,147, 146,144,145,143,143,140,140,137,137,135,133,132,130,130,128,127,127,125,125,124,124,124,123,125, 124,125,124,126,125,126,126,126,126,125,126,126,126,126,125,126,126,126,126,125,125,125,125,125, 125,125,125,125,126,127,127,127,129,130,132,132,135,135,137,138,137,138,137,138,137,137,136,134, 134,132,132,130,130,128,128,127,125,126,125,124,124,124,124,123,124,123,125,124,125,124,125,125, 125,125,126,125,126,126,126,127,127,129,128,130,129,131,132,131,132,132,133,132,133,132,132,130, 131,129,129,127,125,125,124,124,123,123,123,123,122,122,122,121,122,121,122,121,122,122,121,121, 121,120,121,119,120,118,119,119,118,119,120,119,121,121,123,124,124,126,126,127,126,127,126,127, 126,126,124,126,124,125,124,123,123,122,123,122,121,121,120,120,120,119,117,118,116,117,115,116, 115,115,114,115,113,114,113,115,114,115,115,115,116,115,115,117,116,118,117,118,118,117,118,117, 118,117,118,118,118,119,119,119,120,120,121,122,122,123,125,126,128,128,130,130,132,133,132,134, 133,134,134,134,134,134,134,133,134,134,133,134,132,133,132,132,132,130,131,130,130,129,130,129, 129,128,130,129,130,130,132,132,134,135,135,137,137,139,139,141,141,143,142,144,143,144,144,145, 145,143,144,143,144,143,142,141,140,139,137,136,134,134,132,130,130,127,127,126,125,124,122,122, 121,120,121,120,121,122,121,123,122,124,124,124,126,125,126,126,127,128,127,129,128,130,130,131, 132,131,132,131,133,132,133,131,132,130,130,129,129,128,128,128,127,128,127,128,127,128,127,128, 127,128,128,127,128,126,127,125,126,126,125,126,125,126,125,127,126,128,128,130,129,132,131,134, 133,135,135,136,136,137,136,136,135,136,134,135,133,133,132,132,131,130,131,129,130,129,130,129, 130,129,130,130,129,129,127,128,127,126,125,123,123,121,121,119,120,119,118,119,118,117,118,117, 119,119,119,121,121,123,124,125,125,126,126,127,127,128,127,129,129,129,131,131,131,133,132,134, 133,134,134,134,132,132,130,130,129,126,125,123,123,120,120,119,117,117,116,114,115,114,115,113, 115,114,115,114,116,116,116,117,116,118,117,119,119,119,121,121,122,122,124,123,125,124,126,125, 126,125,127,125,126,125,124,124,123,123,123,120,121,119,119,119,117,118,116,117,117,116,117,118, 117,119,120,121,121,122,121,123,122,124,123,125,124,126,126,127,128,128,129,130,130,130,132,133, 134,134,135,135,136,137,136,138,138,137,138,138,139,139,138,139,138,139,138,138,138,138,137,137, 136,137,137,135,137,135,136,135,136,137,137,136,137,137,136,136,135,136,134,135,135,133,134,133, 133,132,132,130,130,130,128,129,127,128,127,128,127,128,128,127,128,127,129,128,129,129,128,129, 128,130,129,129,130,129,130,129,130,130,130,128,129,127,127,126,124,124,122,120,120,118,118,117, 116,117,116,116,117,117,119,120,121,123,124,125,126,127,128,128,130,129,131,131,131,132,132,133, 132,133,133,134,133,134,134,135,134,135,134,135,135,133,134,132,133,131,132,130,130,128,129,128, 126,126,126,125,124,125,124,125,124,125,124,126,126,125,126,125,127,127,126,127,126,127,126,127, 127,126,127,126,127,126,127,128,127,129,128,130,129,131,130,132,132,132,131,131,131,129,130,128, 129,127,128,126,127,126,127,125,126,126,125,125,124,124,124,123,123,121,122,120,121,119,120,119, 119,118,119,118,118,119,119,120,120,121,122,122,122,123,123,124,124,123,124,124,124,124,123,124, 123,125,124,125,124,125,125,126,125,126,125,125,126,125,126,124,125,123,123,121,121,119,119,118, 116,116,116,114,115,114,115,114,115,116,115,117,116,118,119,120,120,122,122,125,126,126,128,129, 131,131,133,133,135,135,137,137,138,138,138,137,138,137,137,137,135,135,133,133,132,130,130,129, 129,128,128,127,125,126,125,126,124,126,126,126,128,128,130,132,132,134,135,136,137,137,139,138, 140,139,140,140,141,140,140,139,140,139,139,137,137,136,136,134,134,133,133,131,131,130,131,131, 129,130,129,130,130,129,129,128,128,128,127,127,126,126,125,125,124,124,123,123,122,122,121,121, 121,120,120,119,119,119,118,119,118,119,119,120,121,122,122,124,125,126,128,128,130,129,130,131, 130,130,129,130,129,128,129,128,128,127,127,127,127,126,127,127,127,127,126,128,128,129,128,129, 129,128,129,128,129,127,128,127,126,125,126,124,125,124,125,125,124,126,125,127,126,128,128,129, 129,131,130,131,132,132,133,133,132,133,131,133,132,133,132,133,133,131,133,131,133,131,132,131, 132,130,130,130,128,128,126,127,126,126,124,125,124,125,124,126,126,125,127,126,128,127,129,128, 130,130,130,131,130,131,130,131,130,130,129,129,127,128,127,127,126,126,126,126,125,125,125,123, 124,123,124,123,123,123,122,123,122,121,122,121,122,122,121,123,123,123,122,124,123,123,122,123, 122,121,121,119,119,117,118,116,116,116,115,116,115,116,116,116,118,118,119,120,120,122,122,124, 124,126,126,128,128,129,129,130,130,131,130,131,130,131,131,130,131,129,130,128,129,127,128,126, 127,126,127,127,126,127,127,128,128,128,129,129,128,129,130,129,130,129,131,130,131,131,132,132, 134,134,133,135,135,136,135,136,136,136,137,138,137,138,138,137,138,137,138,138,138,136,137,135, 136,134,134,132,133,131,131,129,130,129,127,128,126,126,125,125,124,124,123,124,124,124,123,125, 124,126,125,127,126,128,128,128,129,128,130,129,129,128,129,128,127,127,125,126,124,125,124,124, 122,123,122,123,122,123,122,123,122,123,122,121,123,121,122,122,122,121,122,121,122,122,121,123, 122,124,124,125,126,127,128,128,128,129,128,129,128,128,128,128,128,127,127,127,127,126,126,125, 126,126,127,126,128,127,129,130,129,131,130,131,132,130,131,130,130,129,129,128,127,127,125,126, 124,125,124,125,124,125,125,125,125,124,125,124,125,124,125,126,125,127,126,128,128,130,130,131, 132,132,134,134,135,136,136,137,137,138,137,137,136,136,136,135,133,133,131,130,128,128,126,126, 124,123,123,121,122,121,121,122,121,122,121,122,122,121,123,121,123,122,123,122,123,122,124,124, 124,125,125,127,127,126,128,127,128,127,128,126,127,126,126,126,124,125,124,124,123,123,122,123, 123,122,123,121,123,121,122,121,122,120,121,120,120,119,120,119,119,118,119,119,120,121,121,121, 122,122,123,124,123,125,125,127,127,129,129,131,133,132,134,135,136,135,136,134,135,135,134,134, 133,133,132,132,131,131,130,131,130,129,130,129,130,129,130,129,130,130,131,131,132,132,134,133, 135,134,135,134,135,135,134,134,133,132,133,132,133,131,132,131,131,131,130,129,130,129,129,129, 129,129,130,129,129,131,130,132,132,132,133,134,134,133,135,133,134,133,134,131,132,131,129,128, 127,125,124,123,121,121,119,119,119,117,118,117,117,118,118,119,120,120,122,122,124,125,125,126, 126,127,127,126,127,126,127,127,128,127,129,128,129,129,129,129,130,129,130,129,129,129,128,128, 127,127,126,126,125,125,124,124,123,124,123,124,124,125,125,126,127,126,128,127,127,128,127,127, 126,126,125,124,124,123,123,123,122,123,122,124,123,125,125,126,126,128,127,129,129,130,130,131, 131,132,131,132,132,132,133,133,132,133,132,133,133,133,132,132,131,130,130,129,129,128,129,128, 128,127,128,127,127,126,127,126,127,127,126,127,126,127,126,127,126,127,127,126,127,127,125,126, 124,125,123,124,123,123,123,123,123,123,124,124,125,126,126,128,127,128,128,129,130,128,129,128, 129,126,127,125,126,123,124,121,122,120,120,118,118,118,117,117,115,116,115,114,115,114,115,115, 116,116,118,119,119,122,122,124,126,125,128,127,129,129,131,130,132,131,132,131,132,131,132,131, 131,131,131,129,130,128,129,128,128,127,128,127,128,127,128,127,128,127,129,129,129,129,129,128, 129,129,128,130,129,130,129,130,129,130,129,130,129,130,130,129,130,130,129,130,130,130,132,131, 133,134,133,134,135,134,136,134,135,133,134,132,133,131,132,130,131,130,129,129,128,129,128,127, 127,127,125,126,124,124,123,124,122,123,122,123,122,123,123,124,123,124,123,125,124,126,127,126, 128,127,129,128,130,129,130,129,130,130,129,129,128,127,128,127,127,127,127,127,127,128,127,129, 128,130,129,130,130,131,130,131,130,130,129,128,127,127,125,125,124,123,123,121,122,121,122,121, 122,123,123,122,123,123,123,123,124,123,124,124,123,125,124,125,125,125,126,125,127,127,127,128, 127,128,128,128,127,128,127,127,126,126,125,125,124,123,124,123,124,124,123,124,123,125,124,126, 125,127,128,128,129,130,130,130,131,131,132,132,132,131,132,131,131,130,129,130,128,129,129,129, 128,128,128,127,127,127,127,126,128,128,128,127,129,128,130,129,130,129,131,131,131,131,132,130, 132,130,131,130,129,129,127,127,126,124,124,122,122,122,119,120,118,120,118,120,119,120,120,121, 122,122,123,123,124,123,125,125,126,126,126,128,127,128,128,129,128,129,127,128,128,127,128,127, 127,126,127,126,127,127,126,127,126,128,127,128,127,128,129,129,128,129,129,128,130,128,129,128, 128,128,127,127,126,127,126,125,126,126,126,127,126,128,127,129,129,131,130,132,133,132,134,133, 134,134,133,134,134,135,135,135,135,135,135,135,135,133,133,132,130,130,128,128,125,126,124,125, 123,124,124,123,124,123,125,124,126,127,126,128,129,128,130,129,130,129,131,131,130,131,131,129, 130,129,130,129,129,130,128,130,128,129,128,129,129,129,129,128,129,129,130,130,130,130,129,130, 129,130,129,130,129,130,129,130,129,130,130,131,130,131,131,130,131,131,129,129,127,128,125,126, 124,125,123,124,124,123,125,125,125,126,126,127,127,128,127,128,127,128,128,127,126,127,125,125, 124,124,122,122,120,121,120,119,119,118,118,118,117,117,115,116,115,116,115,117,117,117,118,118, 120,120,122,122,124,124,125,126,127,128,128,129,129,130,131,130,131,130,131,131,129,130,129,128, 129,129,128,128,128,127,128,128,127,128,128,127,128,127,128,126,128,126,127,127,126,126,125,126, 125,125,125,124,124,124,124,124,125,125,124,126,125,127,126,128,128,127,129,129,128,130,129,130, 130,131,130,131,130,130,129,129,128,129,128,126,127,125,125,124,124,123,123,122,122,122,122,121, 122,121,123,123,123,124,124,126,126,127,127,129,129,130,130,131,131,131,133,133,133,133,132,133, 133,134,132,133,132,133,132,132,132,131,131,131,130,131,131,130,131,130,131,131,132,131,132,131, 133,133,132,133,133,133,132,132,132,131,129,130,130,129,129,128,129,129,128,129,128,129,129,129, 128,129,128,129,128,129,129,128,129,128,129,129,128,129,128,130,130,129,130,129,130,129,130,128, 129,127,128,126,126,126,124,125,124,123,123,123,122,123,122,123,123,124,123,124,124,125,124,125, 126,126,126,125,127,126,127,127,126,127,126,127,126,127,127,126,127,127,128,129,128,130,130,132, 132,133,133,132,134,132,133,132,131,132,130,131,129,130,128,129,128,127,128,127,128,126,127,127, 126,126,125,123,124,123,122,122,121,121,120,119,120,119,120,119,120,120,121,120,122,121,122,122, 123,122,122,123,123,123,123,123,123,123,123,123,122,122,122,121,122,122,122,122,123,123,122,124, 123,124,124,124,125,124,125,125,124,125,124,125,125,125,125,125,124,125,124,125,124,124,123,124, 123,123,123,123,123,123,122,123,122,123,123,123,124,125,124,126,126,128,128,129,130,129,131,131, 130,131,131,131,132,131,130,130,129,129,128,128,127,127,126,126,125,125,125,124,124,123,124,123, 124,124,125,125,125,126,126,126,126,127,126,128,127,129,128,129,129,130,129,131,130,131,131,130, 131,131,130,132,131,132,132,133,132,134,133,134,135,135,134,135,134,135,134,135,134,134,134,133, 133,132,133,131,132,131,132,132,131,132,130,131,130,131,130,131,130,130,131,130,131,132,132,132, 133,132,134,133,135,135,134,135,136,134,136,134,135,135,133,134,132,133,131,131,129,130,128,129, 128,127,128,127,128,127,128,127,128,128,127,127,126,126,126,124,125,123,124,122,123,122,123,122, 122,122,122,122,123,122,123,123,124,123,125,124,126,126,125,127,126,127,126,127,127,126,128,127, 128,128,129,130,129,131,131,131,132,131,132,132,131,132,130,131,129,129,128,128,126,127,125,125, 125,124,125,124,125,125,125,125,125,125,125,126,125,126,125,125,124,125,124,125,125,124,125,125, 125,125,125,125,125,125,125,125,124,125,124,125,124,125,123,124,124,122,123,122,122,121,122,122, 121,122,123,122,123,123,124,124,124,125,124,125,124,124,123,124,124,124,123,124,122,123,122,121, 122,121,122,122,122,123,123,122,123,123,123,122,123,122,123,122,123,122,123,122,123,122,123,124, 124,123,124,123,124,123,124,123,123,124,122,123,122,123,122,123,123,124,124,123,124,123,124,123, 124,124,123,124,123,124,124,125,125,125,124,125,125,126,125,125,125,127,126,127,127,129,129,129, 131,130,132,132,134,134,134,136,136,137,137,138,138,139,138,139,139,140,139,140,138,139,138,138, 136,136,133,133,130,130,129,127,127,126,126,126,124,125,125,126,126,126,127,128,128,129,129,131, 130,132,133,133,135,135,137,137,139,139,139,140,139,140,141,140,140,139,140,140,139,139,138,138, 136,136,134,134,133,130,130,129,129,128,127,126,124,125,123,123,122,122,121,121,119,119,118,117, 118,116,117,117,116,117,115,117,116,118,118,120,120,122,123,124,126,127,129,128,131,131,133,132, 134,134,136,135,137,136,137,136,136,136,135,136,134,135,133,134,132,132,131,130,130,128,128,126, 126,125,124,124,123,123,122,123,122,123,123,123,123,124,125,125,124,125,125,126,126,125,125,124, 125,125,125,124,125,124,124,124,124,125,125,124,125,125,126,126,125,127,127,128,128,129,129,128, 129,129,128,128,127,128,126,127,126,124,125,124,124,123,124,123,122,123,121,122,121,121,120,121, 120,119,120,119,120,119,120,120,119,120,120,121,122,122,124,123,125,125,125,126,126,125,126,125, 126,126,124,126,124,126,125,126,125,126,125,126,125,126,125,125,124,125,124,124,123,124,123,124, 123,123,123,121,121,119,119,117,117,116,114,115,113,113,112,110,110,110,110,110,109,111,112,113, 113,116,116,119,120,122,123,125,126,129,131,133,134,136,138,138,140,140,142,141,142,141,141,140, 141,139,139,139,137,137,135,136,134,132,132,130,130,129,128,126,127,126,127,126,127,127,128,127, 129,128,131,130,131,133,132,134,134,134,135,135,136,135,136,136,137,136,137,137,137,138,138,140, 139,141,142,142,144,143,146,146,145,146,145,146,145,145,143,143,141,138,137,134,132,129,124,123, 119,117,115,113,110,110,108,109,108,109,109,111,112,115,117,121,123,127,130,134,136,140,142,145, 147,148,150,149,150,149,147,144,140,137,132,128,123,119,114,112,108,105,104,102,103,104,104,107, 108,112,116,120,125,128,134,137,142,144,148,151,153,154,154,154,153,151,147,144,140,134,131,125, 122,116,113,110,106,105,102,103,103,103,106,107,111,115,118,123,126,132,136,138,142,147,149,152, 154,155,155,154,152,148,145,141,135,131,124,120,114,111,105,103,100, 97, 97, 96, 97, 97,100,103, 107,112,116,121,125,131,135,140,144,148,150,153,155,155,156,154,153,149,147,143,139,135,130,124, 120,114,111,107,103, 99, 98, 96, 95, 94, 95, 96, 99,101,105,108,112,116,119,123,126,130,133,136, 137,138,138,137,136,133,131,128,125,122,117,115,111,110,109,107,107,106,107,106,109,111,112,116, 119,123,127,129,134,136,139,141,144,145,146,147,145,145,142,138,136,131,127,124,118,114,109,106, 103,100, 98, 96, 96, 96, 96, 99,100,104,107,112,116,120,125,130,133,138,142,145,150,152,154,156, 155,156,153,153,149,147,143,140,137,132,130,127,126,124,122,122,121,122,122,124,126,127,130,131, 135,136,140,141,143,145,146,148,148,150,150,148,145,144,140,137,132,129,123,120,115,112,109,107, 104,103,101,102,102,105,106,110,113,118,122,125,130,133,138,141,145,147,151,152,154,153,154,151, 149,145,142,137,133,128,122,118,113,110,106,103,100, 99, 97, 98, 98, 99,100,103,105,109,112,116, 119,121,125,128,130,134,136,139,140,141,141,141,139,138,135,133,129,125,123,119,117,115,113,111, 111,111,113,114,115,119,121,126,129,134,139,143,146,151,155,157,161,162,164,163,163,161,159,156, 152,147,143,137,132,126,122,117,113,108,106,102,102,100,101,101,103,105,109,112,117,120,126,129, 134,138,143,147,150,154,155,158,159,157,158,155,153,149,144,141,135,131,126,121,117,112,109,107, 103,103,102,102,104,105,108,110,114,116,120,122,127,129,133,135,138,138,140,140,139,139,136,134, 130,127,123,120,117,113,109,107,103,103,101,100,101,101,104,107,109,114,118,122,125,130,134,138, 142,145,149,150,153,153,153,152,150,146,143,138,134,129,124,119,114,110,104,101, 97, 96, 94, 92, 93, 92, 94, 95, 99,101,105,108,113,116,121,124,130,132,137,140,142,145,146,148,147,146,146,144, 143,142,139,138,134,134,132,130,130,128,129,128,130,130,132,132,135,136,137,140,141,143,145,145, 148,147,149,147,148,146,144,141,139,135,132,128,125,121,119,115,114,112,110,111,110,111,112,114, 117,119,124,126,131,133,139,141,147,149,153,156,157,160,160,162,160,159,155,153,148,145,139,136, 130,124,120,114,110,106,101, 98, 96, 94, 93, 93, 92, 94, 96, 96,100,103,105,109,112,116,118,123, 125,129,131,132,134,132,133,132,129,128,125,124,121,120,118,118,117,116,117,116,118,120,121,125, 126,130,132,134,138,139,143,143,146,146,147,147,147,145,144,141,139,135,131,128,122,119,113,110, 105,101, 99, 95, 94, 93, 92, 94, 95, 99,102,105,111,114,121,125,131,136,141,147,151,156,159,163, 164,167,166,167,165,163,159,156,151,147,140,136,129,125,119,116,112,109,106,104,103,102,103,103, 105,106,109,111,113,116,119,121,124,126,129,129,131,132,131,132,130,130,128,126,124,121,119,117, 115,113,112,111,112,111,114,115,118,121,125,128,131,136,139,143,145,149,151,154,155,157,156,156, 153,152,148,143,140,135,128,123,116,111,107,101, 97, 92, 89, 86, 86, 85, 84, 86, 88, 90, 95, 98, 104,109,114,120,124,130,136,139,145,147,151,153,153,155,153,153,149,148,143,140,137,132,128,124, 121,118,114,114,112,110,111,110,113,113,117,118,122,123,127,130,132,136,138,139,141,142,141,142, 139,139,136,134,130,128,124,120,117,114,110,109,106,106,105,105,107,109,112,115,121,124,131,136, 142,148,153,159,163,168,171,175,176,177,178,176,173,171,165,160,155,148,141,134,127,120,114,108, 102,100, 95, 94, 92, 93, 95, 96, 99,103,106,110,117,120,126,131,135,140,143,147,150,152,152,153, 151,151,149,146,144,141,138,134,132,128,126,123,120,120,117,118,118,118,119,121,122,124,125,128, 130,131,134,135,137,137,139,139,139,138,136,133,130,127,122,118,113,108,104, 99, 96, 92, 89, 89, 87, 89, 89, 92, 94, 99,103,108,113,119,125,132,137,144,149,154,158,163,165,168,168,169,167,166, 162,160,154,150,142,138,131,123,118,112,106,102, 97, 93, 92, 89, 90, 89, 91, 91, 95, 98,102,105, 109,114,118,123,126,131,133,136,138,138,140,139,139,137,136,133,131,128,126,123,121,121,118,119, 118,119,121,123,125,127,130,133,137,140,142,146,149,152,153,155,155,156,154,153,150,147,142,138, 131,127,119,114,107,102, 96, 91, 87, 83, 81, 79, 80, 80, 83, 85, 88, 93, 97,103,109,115,121,128, 133,140,144,149,154,156,159,161,161,161,160,158,156,153,149,144,141,137,131,128,123,120,117,114, 114,112,112,111,112,112,114,116,118,119,122,123,127,128,129,131,132,133,133,132,131,130,127,125, 121,118,115,112,109,107,104,103,101,102,103,106,110,114,121,126,134,141,147,155,160,167,172,175, 180,182,186,187,187,185,184,181,179,175,171,166,162,156,151,144,139,133,128,124,119,116,112,110, 108,108,108,106,108,107,110,110,114,118,121,126,130,132,135,136,139,140,144,146,149,151,152,154, 152,151,148,145,143,139,138,135,134,132,130,127,125,122,118,117,115,114,113,110,110,108,105,104, 100, 99, 97, 94, 91, 89, 85, 81, 79, 76, 74, 71, 71, 70, 69, 71, 71, 74, 75, 78, 81, 83, 87, 89, 94, 96,101,105,109,114,119,122,128,131,136,139,143,144,146,148,147,147,144,142,139,134,130,124, 119,114,108,104, 99, 97, 94, 91, 91, 89, 89, 89, 89, 90, 90, 93, 95, 95, 99,100,103,105,107,109, 111,113,115,114,115,114,115,114,115,114,115,114,116,117,120,122,126,129,134,139,143,146,151,154, 159,160,164,166,167,169,169,170,170,169,170,169,170,168,168,167,166,164,163,159,156,151,148,143, 137,133,129,124,122,120,120,120,120,123,125,127,131,134,136,139,141,145,146,150,152,155,156,159, 158,160,159,158,156,155,153,151,148,145,143,139,136,132,130,127,125,122,121,119,116,116,114,115, 114,115,116,115,117,118,119,121,122,124,123,125,125,127,127,130,130,133,133,136,136,139,139,143, 144,148,149,153,155,157,158,158,161,163,167,171,175,181,187,190,195,197,200,200,203,202,203,201, 198,194,190,184,177,170,161,154,145,137,130,123,117,112,106,103,100, 98, 96, 97, 98, 98,100,100, 103,103,105,105,108,109,110,110,111,111,111,109,107,106,103,101, 98, 97, 94, 94, 91, 92, 92, 93, 93, 96, 97,100,101,103,104,103,105,104,105,104,105,103,103,101,100, 98, 98, 96, 95, 95, 92, 91, 88, 86, 82, 79, 75, 72, 68, 65, 61, 59, 57, 55, 56, 55, 58, 60, 65, 69, 76, 82, 89, 98,105,115, 123,132,139,147,153,159,163,166,166,167,164,162,158,152,148,142,136,130,125,118,114,108,106,103, 100,100, 99,100,101,101,103,104,107,107,110,110,112,111,113,113,115,116,118,120,122,126,127,132, 136,139,145,149,154,157,161,163,167,169,173,175,180,182,186,188,191,194,196,197,200,200,202,203, 203,204,202,201,199,194,192,185,181,173,167,160,151,144,134,128,118,112,104,100, 93, 91, 86, 85, 83, 82, 83, 84, 85, 89, 92, 98,104,109,114,120,124,129,134,137,143,145,149,151,151,151,149,148, 145,144,141,140,139,138,137,136,136,134,134,132,131,130,128,128,127,128,126,127,127,128,129,130, 132,133,135,137,138,141,142,144,144,146,146,148,147,148,146,146,143,143,142,140,141,141,143,144, 148,151,154,160,164,168,173,176,181,183,186,185,186,184,183,178,175,168,162,153,144,134,122,112, 100, 89, 80, 69, 62, 53, 48, 42, 39, 35, 36, 35, 38, 40, 44, 47, 53, 57, 63, 67, 74, 78, 84, 87, 93, 97,102,105,110,114,116,119,121,121,123,123,122,120,117,115,112,108,105,101, 99, 96, 93, 90, 89, 87, 87, 86, 88, 89, 92, 95, 98,101,105,108,111,114,116,118,118,118,117,114,111,107,102, 98, 92, 88, 82, 78, 73, 72, 71, 71, 74, 76, 82, 86, 92,100,109,116,126,134,141,148,153,158,161,162, 162,162,160,159,156,152,150,146,143,139,134,131,126,124,120,119,117,115,116,115,116,116,117,119, 121,123,127,131,137,140,147,151,158,163,169,174,180,183,187,188,190,188,188,186,184,182,180,177, 175,171,169,165,163,160,159,156,157,156,155,157,156,156,155,153,153,150,150,150,148,148,146,145, 141,138,132,127,119,113,105, 99, 90, 84, 77, 72, 68, 64, 63, 62, 65, 67, 69, 74, 78, 84, 90, 95, 102,107,115,121,127,135,141,148,154,159,165,170,174,179,181,185,187,187,188,186,184,181,177,173, 167,160,155,148,143,137,133,128,126,123,122,121,122,121,123,126,129,133,136,141,145,148,150,152, 153,152,152,150,147,144,138,134,127,122,115,111,107,102,100, 98, 99, 99,102,104,109,112,118,121, 127,130,135,137,140,142,142,143,143,140,139,135,131,128,122,118,111,106, 99, 94, 86, 81, 74, 69, 63, 59, 55, 51, 49, 47, 46, 46, 46, 46, 50, 52, 57, 61, 69, 74, 82, 90, 98,107,115,124,132,140, 145,152,155,159,159,161,159,156,153,149,145,139,134,129,123,119,114,112,110,108,109,109,112,115, 117,120,123,125,126,128,127,127,126,124,122,119,114,112,107,105,100,100, 96, 97, 96, 98, 98,102, 105,110,113,120,126,133,139,147,153,160,166,174,179,187,194,201,209,214,220,223,226,226,227,225, 224,221,215,211,205,196,188,178,169,160,153,145,139,133,128,124,120,118,115,114,114,114,114,117, 118,122,125,130,134,139,143,147,150,154,155,157,155,155,151,149,144,139,135,131,127,125,121,120, 118,119,118,120,121,124,126,127,131,132,134,134,136,135,136,134,133,131,128,126,122,120,116,114, 111,107,105,101, 99, 95, 93, 91, 89, 88, 86, 86, 86, 88, 89, 90, 94, 98,102,108,114,121,128,137, 145,154,164,172,179,188,194,201,205,209,209,209,207,202,198,191,183,174,163,154,143,133,123,113, 105, 97, 92, 86, 84, 80, 81, 80, 83, 84, 88, 89, 93, 94, 98, 99,102,103,105,104,104,105,103,102, 100, 97, 96, 94, 93, 91, 92, 91, 92, 93, 93, 95, 96, 98, 99,101,104,104,107,107,109,110,110,112, 111,112,112,113,113,114,112,112,110,109,105,104, 99, 97, 94, 89, 85, 79, 74, 69, 63, 60, 55, 52, 50, 48, 49, 50, 54, 57, 63, 70, 77, 87, 96,107,116,126,134,142,147,153,155,158,158,160,159,156, 153,148,145,140,137,133,132,130,131,130,129,127,128,126,127,128,128,131,133,135,139,141,143,147, 150,153,157,160,164,167,171,173,172,173,173,170,169,165,164,161,159,156,156,154,155,155,155,157, 160,161,165,166,170,171,175,176,180,181,185,186,189,191,191,193,191,190,186,184,177,171,163,154, 145,136,125,116,105, 98, 89, 83, 76, 72, 69, 67, 67, 68, 71, 74, 79, 84, 91, 95,102,106,112,116, 122,126,131,133,137,139,142,143,145,146,147,147,148,149,149,148,148,146,146,144,144,142,142,139, 139,136,136,134,135,133,134,132,133,131,132,133,132,134,133,135,135,134,135,134,134,132,131,129, 125,122,118,114,110,105,102, 98, 93, 92, 90, 91, 91, 94, 95,101,104,111,115,123,127,135,140,144, 149,151,154,155,153,152,148,145,141,135,130,123,117,109,103, 95, 90, 85, 79, 76, 71, 69, 67, 63, 63, 61, 62, 62, 62, 64, 65, 69, 70, 74, 76, 80, 82, 86, 88, 92, 95, 97,102,105,106,110,111,114, 115,118,120,121,121,121,119,116,115,111,111,109,108,110,110,112,112,114,117,119,123,125,129,133, 134,137,135,135,130,127,120,115,107,102, 96, 90, 84, 81, 77, 75, 73, 73, 73, 76, 79, 82, 88, 93, 101,106,115,121,131,138,148,155,165,172,182,189,196,204,209,214,217,220,220,221,217,216,210,207, 201,195,191,185,181,175,172,168,164,162,159,155,154,151,151,149,149,148,150,150,153,154,157,158, 160,161,163,162,162,161,160,158,156,154,152,149,144,141,137,135,133,131,132,131,133,135,137,142, 146,151,156,161,166,169,173,175,177,177,178,176,174,170,165,162,156,151,145,140,133,129,123,119, 113,109,105,102, 99, 98, 96, 96, 96, 97, 97, 99,101,104,107,110,115,119,123,127,132,136,141,145, 150,154,157,162,165,169,170,172,172,172,170,168,166,160,157,151,146,140,135,128,123,118,113,111, 107,106,103,103,101,102,102,104,104,105,106,105,106,104,104,101, 97, 95, 91, 89, 85, 83, 81, 78, 78, 76, 77, 76, 78, 78, 81, 83, 88, 90, 95, 98,103,106,109,113,116,119,122,122,124,124,121,120, 116,114,109,107,103,102, 98, 96, 92, 90, 85, 83, 79, 77, 73, 72, 69, 67, 64, 63, 59, 58, 56, 56, 57, 58, 62, 65, 71, 76, 83, 88, 96,101,108,112,117,119,123,123,125,124,123,123,121,120,119,118, 117,117,117,119,120,121,124,127,128,132,133,137,138,141,143,144,146,147,150,151,154,156,156,158, 157,158,157,156,156,153,152,148,146,142,141,138,139,139,140,141,142,144,146,150,153,157,161,165, 169,174,178,181,185,188,192,195,198,200,201,201,202,201,200,197,195,191,186,180,173,166,158,150, 142,133,128,120,116,111,108,105,106,106,108,109,113,115,119,122,126,129,131,135,135,138,137,139, 138,139,139,138,139,138,139,139,140,141,142,143,145,147,148,150,151,153,154,158,159,162,163,165, 166,166,164,164,162,161,158,155,153,148,146,142,140,136,134,132,129,128,126,124,122,120,117,114, 113,109,109,106,107,104,105,103,104,105,105,108,111,114,118,122,126,129,133,135,135,138,137,138, 136,134,132,127,124,118,115,109,106,102, 98, 93, 91, 86, 84, 78, 76, 72, 71, 69, 69, 69, 70, 70, 71, 70, 71, 69, 69, 67, 66, 64, 63, 61, 60, 59, 57, 57, 56, 57, 57, 60, 62, 66, 69, 74, 78, 83, 86, 90, 93, 97, 99,103,104,108,109,113,116,118,122,126,127,131,133,136,136,138,137,138,135,134, 130,127,123,117,113,107,102, 97, 92, 89, 85, 84, 82, 82, 81, 83, 84, 89, 92, 95,100,104,110,114, 120,125,132,137,144,150,157,163,168,174,177,182,185,186,189,189,191,191,189,190,188,188,185,185, 183,183,180,180,178,178,176,176,174,173,170,169,165,163,162,158,157,155,151,150,148,146,144,142, 139,139,136,135,132,129,127,124,123,120,118,117,116,115,117,117,120,122,127,131,135,139,145,149, 154,159,161,165,166,168,168,167,165,162,160,156,152,148,144,138,135,129,126,122,119,116,115,113, 113,113,112,114,114,116,117,119,121,124,125,128,129,129,131,130,132,132,132,135,135,138,138,141, 143,145,148,150,154,157,160,162,165,165,168,167,168,166,167,165,164,162,161,158,156,152,150,146, 144,142,139,137,133,130,125,121,116,109,105, 99, 96, 91, 89, 85, 83, 78, 77, 74, 71, 70, 70, 69, 70, 71, 74, 76, 80, 84, 89, 93, 99,103,109,112,117,119,122,123,124,123,122,120,118,114,113,109, 108,105,105,103,102,101,102,100,100,100, 98, 97, 95, 92, 91, 90, 87, 87, 85, 83, 83, 81, 82, 81, 82, 83, 85, 87, 88, 91, 92, 95, 96, 99, 99,102,102,103,103,104,104,106,106,109,111,115,117,121, 124,128,131,135,138,141,142,146,146,149,150,150,152,153,152,153,152,153,151,151,151,148,148,145, 145,142,141,139,138,137,136,135,136,136,138,140,142,145,148,150,154,157,160,162,163,166,167,169, 169,170,169,171,171,173,174,176,176,179,179,181,180,181,180,178,177,174,172,167,165,159,156,152, 147,144,140,138,136,134,133,132,131,130,129,128,126,126,123,123,121,120,118,117,115,113,113,113, 113,112,115,115,117,118,120,122,124,129,132,138,142,148,152,156,161,164,166,169,170,172,171,171, 169,167,162,159,154,149,144,139,136,133,130,127,125,122,121,119,119,118,118,118,117,117,115,115, 113,112,112,111,112,111,113,112,114,114,115,115,116,116,117,117,118,117,119,118,119,118,119,117, 118,117,116,116,114,114,112,111,109,109,107,108,106,106,104,105,104,103,104,103,101,100, 98, 93, 91, 85, 81, 76, 71, 66, 61, 57, 54, 51, 50, 48, 50, 50, 53, 56, 61, 65, 71, 76, 80, 87, 91, 98, 102,108,111,116,118,122,124,127,128,132,133,135,136,139,141,141,143,143,144,142,142,139,138,135, 132,130,126,125,122,121,119,117,117,115,116,114,115,115,114,115,114,116,115,117,118,119,120,121, 122,126,127,130,132,136,138,141,146,149,154,156,161,164,167,171,174,178,181,184,188,190,194,195, 198,198,198,199,196,194,191,187,182,177,171,165,161,155,149,144,139,135,133,129,129,127,127,125, 126,124,125,123,124,123,123,124,124,124,125,126,128,129,131,134,136,140,141,145,145,148,148,150, 150,152,151,152,152,151,151,149,147,145,141,140,137,136,134,133,131,131,130,130,129,130,130,132, 132,134,134,135,133,133,131,130,127,126,122,121,117,115,112,111,108,108,107,108,110,113,117,122, 125,131,136,142,147,151,157,161,166,169,171,175,176,178,177,177,174,173,168,165,160,156,150,145, 138,134,127,123,117,112,106,102, 96, 93, 89, 84, 82, 78, 74, 72, 69, 67, 66, 65, 64, 65, 64, 67, 67, 70, 71, 75, 77, 79, 82, 82, 84, 83, 83, 82, 81, 80, 77, 76, 74, 74, 74, 72, 74, 74, 76, 77, 80, 83, 85, 89, 91, 96, 98,101,102,104,104,104,101, 99, 97, 93, 91, 87, 84, 82, 80, 78, 76, 74, 74, 74, 73, 74, 74, 75, 76, 78, 80, 83, 86, 89, 93, 96,102,105,112,116,122,126,131,135,140,144, 146,150,151,154,154,156,156,157,156,157,156,156,155,155,155,154,154,153,153,152,150,151,149,150, 151,151,154,156,157,160,162,165,166,170,170,173,174,176,175,174,173,170,167,166,162,161,158,157, 155,155,155,156,157,158,159,163,166,168,171,174,175,178,178,178,179,179,178,179,177,177,175,172, 168,164,159,156,152,147,143,138,134,129,123,120,115,112,109,107,104,103,100,100, 99, 98, 99, 98, 100,102,106,109,115,119,125,130,135,142,146,152,157,162,164,168,169,171,171,171,169,167,164,161, 158,156,152,150,149,147,147,147,146,148,148,149,150,151,151,153,153,154,154,153,153,151,150,147, 145,142,138,136,131,128,126,122,120,116,115,113,113,112,111,112,112,114,117,118,121,122,125,126, 129,130,132,132,134,133,134,134,135,134,134,133,132,131,128,126,122,119,114,109,103, 98, 91, 85, 79, 73, 67, 60, 56, 51, 48, 45, 44, 44, 46, 48, 52, 56, 61, 66, 70, 75, 78, 83, 86, 87, 90, 90, 92, 92, 93, 94, 93, 95, 94, 96, 96, 98, 99,101,101,103,104,105,105,107,109,109,112,112,115,116, 118,119,119,121,120,121,120,121,119,119,116,114,110,108,105,101,100, 97, 96, 95, 93, 94, 93, 94, 95, 96,100,103,106,111,114,120,125,132,137,144,150,159,165,174,180,188,194,199,203,205,209,210, 209,210,206,204,198,194,187,181,175,168,164,159,154,152,148,147,144,143,141,142,142,142,142,144, 143,144,143,143,144,143,143,143,143,142,142,141,139,137,137,135,135,135,135,134,136,136,138,138, 140,140,142,142,144,144,146,147,149,150,149,151,151,152,153,152,153,152,153,152,152,153,150,150, 147,145,140,136,131,126,122,115,111,105,102, 97, 95, 92, 92, 91, 94, 95, 99,103,107,114,118,126, 132,138,143,149,153,159,161,166,167,170,169,171,169,169,167,163,162,157,155,150,147,142,140,135, 133,131,128,127,124,123,121,120,117,116,113,111,109,106,104,102, 99, 98, 96, 95, 94, 91, 91, 89, 89, 88, 86, 85, 83, 83, 81, 79, 78, 76, 72, 71, 69, 67, 67, 68, 68, 71, 73, 78, 83, 88, 93, 99, 104,110,114,118,120,122,122,121,119,116,112,109,105,101, 97, 92, 88, 82, 79, 74, 72, 68, 67, 66, 64, 65, 64, 66, 67, 70, 72, 76, 79, 85, 89, 95,100,106,111,114,119,122,126,127,131,132,132,134, 133,133,133,132,133,133,132,134,133,135,135,135,136,136,138,138,140,142,142,145,146,149,150,153, 154,158,161,162,166,167,170,169,169,167,166,162,160,156,154,149,147,142,141,137,136,134,135,136, 137,141,143,148,151,157,161,165,170,174,179,183,186,188,191,191,193,191,191,189,186,182,178,172, 169,163,160,154,150,144,139,136,131,128,123,122,118,117,114,114,112,113,111,112,111,112,112,114, 115,117,120,121,126,128,131,136,138,141,143,145,146,148,148,147,147,145,145,142,143,141,141,140, 142,141,144,145,148,150,152,156,158,161,162,165,165,167,167,166,166,164,163,160,157,154,149,145, 140,136,130,125,120,116,112,110,108,107,107,108,108,111,112,116,119,120,124,126,129,131,134,134, 137,138,138,138,138,136,136,134,135,132,132,130,128,125,122,118,114,109,104, 98, 93, 86, 81, 75, 69, 66, 62, 61, 60, 59, 60, 61, 63, 65, 68, 70, 72, 73, 76, 76, 78, 79, 78, 78, 78, 75, 76, 74, 75, 74, 76, 76, 78, 78, 80, 81, 84, 85, 88, 90, 94, 98,100,105,107,112,114,118,120,125,126,130, 131,133,132,131,129,128,124,122,119,116,111,108,104,101, 97, 95, 92, 92, 91, 91, 91, 93, 95, 96, 99,101,104,108,111,117,121,128,133,141,147,155,161,168,174,181,185,191,194,197,198,199,198,198, 195,194,190,188,185,181,179,175,173,170,169,167,166,165,164,163,164,163,164,164,165,163,164,161, 160,158,156,152,150,146,144,139,137,133,131,128,124,123,121,119,119,118,120,120,123,124,127,130, 131,136,137,141,142,146,146,149,151,151,154,155,155,156,156,157,157,155,156,154,152,150,146,144, 139,135,130,125,119,115,110,107,104,102,101,101,101,101,104,107,109,113,116,121,124,129,133,136, 141,144,148,150,153,154,156,156,155,155,153,152,150,149,148,146,145,144,142,142,141,142,142,142, 143,143,143,144,142,142,141,138,137,133,131,127,124,119,117,111,109,105,101, 99, 97, 96, 94, 93, 90, 89, 85, 84, 82, 79, 78, 76, 75, 75, 73, 75, 74, 77, 78, 82, 84, 90, 93, 99,103,108,112,114, 117,118,118,119,117,117,115,111,109,104,102, 98, 93, 91, 87, 84, 82, 79, 77, 74, 73, 70, 70, 69, 70, 71, 72, 75, 76, 79, 81, 84, 86, 90, 92, 96, 97,100,101,103,102,104,103,104,104,105,105,107, 107,109,110,113,115,119,121,125,128,131,135,138,140,143,146,148,151,153,157,159,162,163,167,168, 171,170,172,170,170,168,167,163,161,156,154,149,147,143,140,138,134,134,133,132,134,135,138,142, 145,150,153,159,163,168,172,177,181,184,187,188,191,190,192,190,191,187,186,183,179,176,172,168, 165,160,158,155,152,151,149,148,146,144,144,142,141,139,138,135,134,132,129,128,126,126,125,123, 124,123,126,125,128,128,129,129,130,129,130,129,129,128,128,128,128,129,130,131,134,136,139,140, 144,145,149,150,154,156,157,160,160,162,163,163,163,160,160,156,155,151,148,143,138,132,128,123, 119,115,112,109,107,106,104,104,103,105,105,109,110,114,116,119,122,122,124,123,123,124,123,124, 124,125,125,125,125,125,124,125,125,125,124,124,122,119,118,115,110,108,103,101, 97, 95, 91, 89, 86, 85, 83, 81, 81, 80, 81, 80, 80, 78, 78, 75, 74, 71, 70, 68, 66, 66, 63, 63, 61, 62, 61, 62, 62, 63, 65, 67, 70, 72, 76, 80, 82, 88, 92, 96,102,106,111,115,121,125,127,131,133,135,135,136, 134,134,131,129,126,121,118,113,110,107,103,101, 98, 96, 95, 95, 93, 95, 94, 95, 95, 97, 98,100, 103,104,108,112,115,119,123,128,132,137,142,147,150,155,158,162,164,168,168,171,171,173,173,172, 173,173,174,173,174,173,174,176,175,177,177,178,179,178,179,178,179,178,178,176,175,172,171,168, 165,161,157,151,148,143,139,135,130,128,125,123,121,121,121,122,123,125,127,130,131,134,137,139, 140,144,144,146,147,149,149,151,152,154,156,156,158,158,160,159,159,158,155,155,151,150,146,145, 141,139,136,133,130,127,125,123,122,121,120,119,119,120,120,122,123,125,129,130,134,135,138,138, 140,141,141,143,143,143,145,144,145,144,145,144,145,146,145,148,149,151,153,155,157,159,161,161, 163,161,162,160,157,154,150,146,140,136,131,125,122,116,113,108,105,101, 97, 96, 92, 91, 88, 87, 84, 83, 79, 79, 76, 75, 73, 74, 73, 75, 75, 78, 79, 82, 84, 87, 90, 92, 94, 97, 98,101,101,103, 103,105,104,105,104,104,104,104,103,102,100,100, 98, 98, 96, 94, 94, 92, 90, 90, 89, 89, 89, 88, 89, 88, 88, 89, 89, 90, 90, 91, 92, 91, 91, 90, 88, 89, 87, 87, 86, 87, 86, 88, 90, 92, 96, 99, 101,106,109,112,117,120,125,128,132,134,139,141,143,147,149,151,153,156,158,161,162,164,166,166, 168,166,167,165,165,164,160,159,155,154,152,149,148,146,145,143,143,142,143,144,143,145,146,148, 150,153,155,159,162,163,168,169,172,174,175,174,176,174,175,174,171,171,170,168,167,166,164,164, 162,163,163,162,163,161,161,158,157,153,151,148,143,140,136,133,129,127,124,120,118,115,115,114, 112,113,112,114,113,114,114,115,117,118,120,123,123,126,126,129,129,132,132,135,137,138,141,143, 145,147,148,150,150,152,153,153,153,154,153,154,152,151,148,147,143,142,138,136,131,129,125,123, 120,119,117,117,117,116,118,117,118,119,119,120,119,120,120,118,118,115,115,112,112,111,111,111, 112,114,115,118,120,122,123,126,126,128,128,128,129,128,128,126,125,123,120,119,116,114,111,110, 107,103,102, 98, 96, 93, 89, 86, 82, 80, 77, 74, 72, 69, 68, 67, 65, 65, 63, 64, 62, 64, 63, 65, 65, 67, 68, 69, 71, 73, 76, 78, 81, 85, 88, 93, 97,100,105,108,112,114,117,118,119,120,119,120, 118,119,117,115,114,114,111,112,111,109,109,109,107,107,106,106,105,105,105,103,104,103,102,103, 104,105,107,108,111,113,117,120,123,128,132,135,140,144,148,152,156,159,163,165,169,172,176,179, 180,183,183,185,185,187,188,188,188,189,189,190,190,190,189,189,187,186,184,183,179,177,173,170, 165,162,157,154,151,147,146,144,144,143,143,143,143,145,145,147,147,149,149,149,149,147,147,147, 146,146,145,146,145,146,146,145,145,146,146,148,148,150,152,153,154,155,155,156,155,154,154,153, 151,150,147,145,141,138,135,132,129,125,123,119,119,115,115,114,113,113,113,115,115,117,118,120, 120,122,123,123,125,125,127,128,130,132,134,137,138,142,143,148,151,153,157,158,161,160,161,159, 159,155,154,149,147,141,139,134,131,127,124,120,118,115,113,110,109,106,105,103,100, 99, 97, 94, 92, 88, 87, 84, 84, 82, 81, 80, 80, 78, 79, 77, 78, 78, 78, 78, 79, 79, 81, 81, 84, 85, 87, 88, 90, 92, 95, 97, 99,102,103,104,105,104,106,104,105,103,102,101, 99, 99, 97, 97, 96, 95, 94, 93, 92, 91, 89, 89, 86, 86, 84, 84, 81, 81, 79, 80, 78, 80, 79, 81, 81, 85, 86, 88, 92, 94, 97,101, 103,107,109,111,115,116,119,120,122,124,126,126,129,131,132,135,136,140,142,143,146,147,150,152, 154,155,158,158,160,160,160,160,159,159,158,157,156,154,154,151,150,149,147,147,147,146,148,148, 151,151,155,155,158,159,162,164,165,167,167,170,170,170,171,172,174,175,178,180,183,185,185,187, 187,187,187,185,184,182,178,176,171,168,162,157,151,147,141,138,134,129,126,124,120,120,118,118, 118,118,119,120,120,123,123,126,127,129,129,132,132,134,135,136,135,136,136,137,137,138,138,140, 141,143,145,146,149,150,152,153,155,156,157,157,157,156,155,153,150,149,147,143,142,140,137,137, 135,135,134,132,132,129,129,126,126,122,121,118,114,112,108,106,103,102,100,100,100,100,102,104, 106,109,111,114,116,119,121,124,125,126,128,127,128,127,127,126,124,123,121,119,117,113,111,108, 104,101, 96, 94, 89, 88, 84, 83, 80, 80, 78, 78, 77, 78, 77, 78, 76, 77, 75, 75, 74, 72, 73, 71, 71, 70, 71, 71, 71, 73, 73, 76, 78, 79, 83, 84, 88, 91, 93, 97, 98,101,103,106,107,110,112,114, 114,117,117,120,119,122,121,123,122,123,121,120,119,115,114,111,109,105,104,101,100, 97, 96, 94, 94, 93, 95, 95, 98,100,104,107,111,115,120,124,130,136,140,146,150,156,160,164,166,169,172,173, 176,176,178,177,178,178,178,178,178,180,181,183,183,184,184,182,182,181,178,175,174,170,168,165, 163,160,159,156,156,153,153,152,152,151,151,151,149,149,148,147,147,144,144,141,140,139,137,134, 134,132,133,132,134,135,137,139,140,144,146,150,152,157,160,162,166,168,169,171,172,172,172,169, 167,164,160,156,152,148,143,139,134,131,127,125,122,122,120,121,120,120,122,122,123,123,125,124, 125,125,126,127,127,129,129,132,133,134,138,140,142,145,147,150,152,151,153,152,152,152,150,149, 147,146,143,143,142,139,139,137,137,136,135,135,133,133,132,129,129,126,125,121,119,115,113,108, 106,101, 99, 95, 93, 89, 87, 83, 81, 79, 75, 75, 72, 72, 72, 72, 73, 75, 78, 80, 83, 87, 89, 93, 95, 99,100,104,104,106,106,107,105,105,104,103,102,101, 99, 98, 96, 94, 92, 90, 88, 87, 85, 85, 83, 83, 80, 80, 77, 77, 75, 74, 75, 75, 76, 76, 78, 79, 81, 82, 84, 86, 87, 90, 91, 94, 94, 96, 96, 98, 97, 98, 99, 99,101,101,104,104,106,107,109,112,115,118,122,126,129,133,137,139,144,146, 151,153,156,159,161,162,162,161,160,156,155,151,150,146,145,143,141,139,139,139,138,139,139,141, 141,144,145,145,147,148,150,151,154,156,158,161,163,165,168,170,172,175,177,180,182,184,185,186, 186,186,185,183,180,178,173,171,166,163,158,156,150,148,143,141,138,136,133,131,131,129,130,130, 131,132,132,133,133,133,134,134,133,134,132,132,130,128,127,124,124,122,122,122,122,124,126,128, 130,135,137,142,144,149,152,154,157,157,160,159,160,160,159,158,157,157,156,155,155,152,153,150, 150,147,147,143,142,139,135,133,129,127,124,122,118,118,115,115,114,114,115,115,117,119,120,123, 123,126,128,128,131,130,133,132,134,133,135,134,134,132,132,130,129,127,123,122,120,117,114,111, 110,108,106,105,103,104,102,103,102,103,101,102,100,101, 99, 99, 97, 96, 93, 91, 88, 86, 83, 81, 78, 78, 76, 77, 76, 77, 76, 78, 78, 81, 82, 85, 86, 90, 91, 94, 96,100,101,105,107,112,114,118, 121,122,125,125,127,127,126,126,124,123,120,118,114,111,106,104, 99, 97, 94, 91, 89, 87, 87, 85, 85, 84, 86, 87, 89, 93, 95,100,105,108,114,118,122,127,130,134,137,139,139,141,142,143,143,145, 146,146,149,149,153,154,155,158,160,163,164,166,167,170,170,172,171,173,171,172,170,170,169,166, 166,163,163,160,159,156,156,153,152,148,147,145,143,140,139,135,134,132,131,129,127,127,125,126, 125,127,127,129,130,132,135,137,140,143,147,151,153,157,160,161,164,165,165,166,164,164,160,159, 154,152,147,144,140,136,134,131,130,129,127,128,127,128,129,129,130,130,131,130,131,131,130,130, 130,128,129,129,130,129,131,130,131,133,132,134,135,134,135,136,136,135,135,134,134,134,133,135, 134,136,137,136,139,138,140,141,142,141,142,140,141,138,138,136,133,130,126,124,120,117,114,110, 107,103, 98, 96, 92, 89, 87, 84, 84, 82, 81, 80, 81, 81, 84, 86, 87, 91, 94, 98,101,105,108,109, 112,113,115,115,117,116,117,115,115,113,111,111,109,109,107,108,106,106,104,104,102,103,102,101, 100, 99,100, 99,100, 99,100,100, 99,100,100,102,103,102,103,102,103,101,102,100,101,100,100, 99, 100,100,100,101,101,102,102,105,105,108,110,111,115,117,121,126,129,135,138,143,147,151,153,156, 158,159,159,159,157,156,154,151,150,147,144,142,139,138,136,134,134,133,134,134,134,136,136,136, 138,138,139,140,140,142,143,145,146,148,148,150,151,153,155,155,158,159,161,160,162,162,162,163, 162,162,160,161,158,158,156,156,154,153,152,149,149,148,146,144,144,142,143,142,141,141,140,141, 141,141,140,140,138,138,135,134,130,129,125,124,121,118,117,115,114,116,116,117,120,122,126,129, 132,136,139,143,145,149,151,153,154,155,155,154,156,154,155,154,153,154,152,152,150,150,148,145, 144,141,140,137,135,133,129,128,125,124,122,122,121,121,121,122,123,123,123,124,124,125,126,126, 128,128,128,127,128,127,127,126,126,127,125,126,125,123,123,121,121,119,118,117,115,116,114,114, 113,113,113,112,113,113,112,111,111,109,108,106,103,101, 99, 95, 93, 89, 87, 85, 82, 80, 76, 76, 73, 74, 72, 73, 72, 73, 74, 74, 76, 77, 79, 81, 84, 85, 89, 92, 95, 98,101,105,107,111,113,116, 117,119,120,121,122,120,121,121,119,119,117,117,114,114,111,110,107,106,103,101,101,100,100,100, 101,102,105,106,110,112,115,117,119,123,125,127,129,131,131,133,132,134,132,134,134,136,135,138, 138,141,142,146,147,151,154,156,160,161,165,167,170,171,173,173,175,174,175,175,174,174,174,171, 171,169,168,165,164,161,160,158,154,153,150,149,145,145,142,141,140,137,137,135,135,134,134,134, 133,135,134,136,136,137,139,140,143,144,147,149,152,152,154,154,155,155,154,153,151,150,148,146, 144,142,139,139,136,136,134,135,135,135,135,134,135,134,135,133,134,131,132,130,131,128,129,127, 127,126,127,126,128,128,129,130,130,129,130,130,131,131,131,132,132,133,133,133,134,134,135,135, 137,137,139,139,140,140,140,140,140,139,138,137,137,134,134,131,131,127,126,123,122,119,117,114, 112,108,106,104,100, 99, 95, 95, 94, 92, 93, 91, 93, 92, 94, 95, 95, 97, 98,100,100,102,103,104, 104,105,105,106,106,107,106,107,107,107,108,108,108,107,108,108,108,107,108,106,107,106,107,107, 106,106,106,107,107,107,107,106,105,105,103,102,102,100, 99, 98, 98, 98, 97, 95, 95, 95, 92, 93, 92, 91, 92, 91, 92, 93, 92, 94, 95, 97, 99,102,104,108,111,115,118,122,126,128,132,133,136,136, 139,138,140,139,140,140,138,139,138,137,138,136,138,137,138,139,138,140,139,141,141,142,141,143, 142,143,142,143,144,143,145,144,146,146,147,147,149,149,151,151,153,154,155,157,156,158,159,159, 160,160,162,162,162,162,162,161,161,159,158,157,156,155,155,154,154,153,153,153,152,152,151,152, 151,152,151,149,148,146,144,142,140,138,136,134,133,132,132,131,132,132,133,134,136,137,139,140, 143,143,145,144,146,147,147,149,149,150,150,151,151,152,153,152,153,152,153,153,151,151,148,148, 145,144,141,141,138,137,135,133,132,129,129,127,125,124,123,121,121,120,118,118,116,116,115,115, 114,114,115,115,116,116,115,117,116,117,116,117,116,117,116,117,116,117,116,117,118,116,118,117, 119,117,118,117,118,117,115,115,113,112,109,108,105,104,102, 99, 98, 95, 94, 92, 91, 91, 89, 88, 87, 86, 86, 85, 84, 85, 84, 86, 86, 86, 89, 89, 92, 93, 94, 97, 97,100,101,103,105,106,109,110, 112,114,114,117,117,119,119,121,121,121,120,120,118,118,116,115,113,113,111,111,110,110,110,110, 111,111,113,112,115,115,117,117,120,120,121,121,122,123,123,124,123,125,124,126,127,129,128,132, 132,135,136,138,139,142,144,145,148,148,151,152,153,155,155,156,156,157,157,158,157,158,158,156, 156,154,153,151,151,150,148,149,146,147,144,144,142,142,141,139,139,136,136,134,133,132,131,131, 130,130,132,132,135,136,137,140,140,143,144,147,148,150,150,151,151,151,150,149,150,149,149,149, 148,149,148,147,148,147,148,146,147,145,145,143,143,141,140,139,137,136,135,134,133,133,132,132, 130,131,130,132,131,132,131,133,133,134,134,136,136,136,137,137,138,140,140,142,142,143,143,144, 145,145,145,145,144,145,144,145,144,143,143,142,142,140,140,139,137,136,134,133,131,128,126,124, 120,119,116,113,112,108,108,106,104,104,102,102,102,102,101,102,101,100,100, 99,100, 99,100,100, 100,100,101,101,102,102,103,103,104,104,104,104,104,104,105,105,105,105,106,105,107,105,107,107, 107,107,107,106,106,106,105,105,103,104,103,104,102,103,102,101,101,100,100, 99, 98, 97, 97, 95, 95, 94, 94, 92, 94, 93, 95, 95, 98, 98,102,103,107,109,112,116,119,122,123,127,128,131,131,132, 134,135,136,135,136,136,136,136,137,136,137,137,137,137,138,137,136,137,136,136,137,136,137,137, 137,138,137,138,138,139,140,139,141,141,142,142,143,143,145,145,147,149,150,152,152,155,155,157, 157,158,158,158,157,157,157,155,155,153,153,152,151,150,150,149,150,150,149,150,148,149,147,147, 145,145,142,141,138,137,134,133,131,130,127,127,127,126,126,126,126,127,126,128,128,129,129,130, 130,132,131,133,133,135,135,137,138,140,141,142,144,144,146,148,147,149,149,148,149,148,149,147, 147,147,145,144,143,141,139,138,136,135,133,132,130,128,127,124,124,123,120,120,118,119,118,117, 118,117,118,117,118,117,118,118,118,117,118,117,117,117,118,117,120,119,122,121,124,123,125,125, 126,127,126,127,126,127,126,125,125,123,123,121,120,119,117,116,113,113,111,108,107,105,104,102, 102,100,100, 98, 99, 98, 99, 99, 98, 99, 99, 98, 99, 99,100,101,101,103,103,105,106,109,109,112, 113,115,115,117,117,119,118,119,118,118,116,116,114,113,112,111,110,107,108,106,107,106,106,106, 106,107,108,109,110,110,111,111,112,112,113,113,114,114,115,115,117,117,119,120,120,123,123,125, 127,127,130,130,131,133,134,136,137,139,141,141,144,144,145,147,146,148,148,148,149,149,148,150, 148,150,149,148,149,148,149,149,149,147,148,145,146,143,143,141,139,137,136,133,134,132,132,131, 132,132,133,133,135,136,138,139,141,141,143,143,145,144,146,145,146,145,146,146,147,146,147,146, 148,147,149,148,150,148,150,148,149,148,147,146,145,143,142,141,140,138,137,135,135,133,134,132, 133,132,133,131,132,131,133,132,133,132,134,134,133,134,134,135,134,135,135,134,134,134,133,134, 133,132,132,131,132,131,132,131,132,131,132,132,133,132,133,131,131,130,129,127,127,125,125,122, 123,121,121,119,119,118,116,116,115,114,113,112,111,110,110,108,108,108,108,108,107,108,107,108, 107,109,108,109,108,109,109,110,109,110,110,111,112,111,113,112,113,112,113,112,113,112,112,112, 110,111,109,110,108,109,110,109,111,110,112,112,113,114,114,114,114,114,113,112,112,111,110,109, 107,107,106,104,104,105,104,105,105,108,109,109,111,112,114,115,117,118,120,121,123,124,124,126, 127,127,130,130,132,132,134,135,135,136,136,137,137,138,138,139,138,137,138,136,136,135,135,134, 133,133,131,131,129,130,128,128,127,128,127,129,129,131,132,134,136,138,140,142,143,145,146,148, 148,149,149,149,149,148,148,147,147,147,146,147,145,147,146,146,146,145,145,144,145,143,143,141, 141,139,139,136,137,135,135,134,133,134,133,133,133,133,134,133,134,134,134,133,133,133,131,133, 131,133,132,132,133,132,134,134,135,135,137,137,140,141,143,142,145,145,148,149,149,151,152,151, 152,151,152,150,150,148,147,145,144,141,139,137,134,134,131,131,129,129,127,128,127,127,126,125, 124,124,123,123,122,120,121,120,121,119,121,119,121,119,121,120,121,120,121,120,121,120,120,119, 120,120,119,118,119,119,118,118,117,117,115,115,113,113,113,112,110,110,109,108,108,106,107,105, 106,104,105,104,103,103,101,102, 99,100, 98, 99, 98, 99, 98,100,100,102,102,105,106,109,112,114, 115,118,120,121,122,123,124,124,123,124,122,122,121,119,119,118,116,117,116,115,115,114,114,114, 112,113,112,113,111,112,111,113,113,113,113,114,114,115,117,117,119,119,121,121,124,124,126,127, 129,129,131,132,133,135,134,136,136,137,137,137,138,137,138,138,137,138,138,139,139,140,140,142, 144,144,147,147,148,150,150,151,150,150,149,149,146,146,144,142,141,139,136,136,134,134,133,132, 132,132,133,132,134,133,134,134,135,135,136,137,136,138,138,139,139,139,141,142,143,143,144,144, 146,146,145,147,146,147,146,145,146,144,144,143,143,142,140,140,140,138,138,137,138,137,136,136, 135,136,135,136,136,137,137,137,138,138,137,139,137,138,137,137,135,135,134,133,133,131,131,131, 130,131,131,131,130,131,131,132,133,133,134,134,133,133,133,133,132,132,132,131,131,130,129,127, 127,125,124,122,121,119,119,117,117,115,114,113,112,112,110,110,110,110,110,110,109,110,110,110, 111,111,111,113,113,115,115,116,117,118,118,117,118,118,118,118,116,117,115,115,114,112,112,110, 110,110,108,109,109,109,109,111,111,112,113,114,115,116,115,116,116,115,114,114,111,111,109,109, 107,105,105,103,103,102,102,101,102,101,102,103,103,104,104,106,108,108,111,112,116,117,120,121, 124,126,129,130,133,134,136,137,137,139,139,141,140,142,140,141,140,141,139,139,137,137,134,134, 131,131,128,128,127,125,126,125,127,126,128,128,131,132,134,136,139,140,141,143,143,144,144,145, 144,145,143,144,143,144,142,144,142,144,142,144,143,144,144,145,144,145,145,144,145,144,144,143, 144,142,143,142,143,142,142,142,142,142,140,141,139,139,137,138,136,135,133,133,130,131,129,129, 127,128,128,127,129,128,130,129,132,131,134,134,137,137,141,141,144,146,146,148,149,149,149,148, 148,148,145,145,142,141,139,136,134,132,131,129,127,127,126,124,125,123,123,123,122,122,122,123, 122,123,122,122,121,122,120,121,120,119,119,117,117,116,116,114,114,113,113,112,113,113,112,113, 112,113,113,112,114,114,114,115,116,115,117,116,118,118,118,119,119,118,119,118,118,117,117,115, 114,112,111,109,107,105,104,101,100, 99, 97, 97, 98, 97, 99, 99,101,103,105,108,110,113,116,118, 121,122,125,126,127,128,128,129,127,129,127,128,126,127,125,125,124,123,122,120,120,119,117,118, 116,116,115,116,116,116,116,117,119,119,120,121,121,122,122,123,124,124,125,125,126,127,126,127, 127,128,127,128,127,128,126,127,125,126,125,124,125,124,124,125,125,126,129,130,132,134,136,139, 141,143,146,146,149,149,150,149,150,149,148,146,145,144,142,140,139,137,136,134,135,134,133,132, 133,132,134,133,135,135,137,136,139,139,139,141,141,143,143,145,145,145,147,146,147,148,146,147, 145,146,144,145,144,142,142,141,141,140,141,139,141,140,139,140,140,140,141,142,143,142,144,144, 146,146,146,148,147,148,147,148,147,145,144,143,141,139,138,136,135,132,131,130,128,128,126,127, 127,126,128,127,129,128,131,130,133,133,133,135,135,135,136,135,135,134,133,132,130,130,126,126, 123,122,119,117,115,113,111,110,109,107,107,106,105,104,105,104,105,105,106,105,107,106,108,109, 109,111,110,112,112,113,114,114,114,114,114,113,113,112,111,110,108,108,106,106,104,105,105,103, 106,105,108,107,111,111,114,114,118,118,120,120,122,121,122,122,121,121,119,119,116,116,114,112, 111,109,108,107,105,105,103,104,102,103,103,104,104,106,107,109,112,112,116,116,120,120,123,124, 126,127,129,130,129,132,130,132,131,133,132,132,132,131,131,131,129,129,127,127,126,125,124,124, 123,124,124,123,125,125,127,127,130,131,132,134,134,137,137,139,138,139,138,139,137,138,136,137, 134,135,134,132,133,131,133,133,133,134,134,136,137,138,141,141,143,143,144,145,145,147,147,146, 147,146,146,145,145,143,143,141,140,139,137,137,135,133,133,132,130,130,130,129,131,130,131,132, 132,133,134,136,137,139,141,141,144,145,148,150,150,153,152,155,154,157,155,156,155,154,153,151, 150,148,147,146,143,142,140,139,137,137,135,135,134,134,134,134,133,134,133,134,134,133,134,134, 133,134,132,133,130,131,128,128,125,126,123,123,122,120,120,119,118,118,118,118,119,119,121,120, 123,122,125,125,125,127,128,127,129,128,130,129,130,129,129,128,128,126,126,124,123,121,119,116, 115,111,110,107,106,103,102,100,100, 98,100, 99,101,101,104,104,107,108,111,112,115,117,117,119, 119,121,120,120,120,120,119,118,118,116,116,114,114,112,110,110,109,109,109,107,109,108,110,109, 112,112,113,114,115,116,116,118,118,119,117,119,117,118,116,118,117,117,115,116,114,115,114,115, 114,113,114,113,115,114,115,114,115,115,117,117,119,119,122,122,125,127,128,131,132,134,136,136, 138,139,138,140,138,140,139,138,136,136,133,133,131,130,130,128,129,128,128,127,129,127,129,130, 130,131,131,133,133,135,136,136,138,138,139,141,140,142,140,142,140,141,139,139,137,138,136,137, 136,135,136,136,136,136,136,137,137,138,138,139,139,140,140,141,141,142,142,143,144,144,144,145, 145,145,144,145,142,143,140,140,137,137,135,134,131,131,129,129,128,128,127,128,127,128,129,128, 131,131,132,134,136,136,138,138,140,140,141,142,140,141,140,140,138,138,135,135,132,132,129,129, 127,126,124,124,123,123,123,123,124,122,124,124,124,125,124,125,124,126,125,125,125,125,125,125, 125,125,125,125,124,125,123,124,123,122,122,122,120,120,119,119,119,118,119,118,120,120,121,123, 124,126,126,128,130,130,132,132,133,133,133,133,132,131,130,129,128,127,125,124,122,120,119,116, 114,113,111,111,111,109,110,109,111,110,112,112,114,114,116,116,118,118,119,119,120,119,120,120, 118,119,118,119,117,118,117,118,118,116,117,116,117,116,117,115,116,114,116,115,115,115,115,116, 115,117,116,118,118,119,119,121,122,122,123,123,123,123,123,122,122,121,121,120,121,119,120,119, 120,119,121,121,123,123,126,126,129,128,131,131,134,135,135,137,137,139,139,141,140,141,140,141, 139,139,137,137,135,134,133,131,132,130,130,129,130,128,130,129,131,130,132,131,134,133,135,135, 136,136,137,139,139,140,139,141,141,142,143,143,144,144,144,145,143,144,143,144,143,143,144,143, 144,142,143,142,143,141,143,142,142,141,142,142,140,141,139,140,138,139,137,137,134,135,132,132, 130,128,126,125,123,121,119,118,116,116,116,114,115,114,114,115,115,115,118,117,119,119,121,121, 122,123,124,123,125,125,124,126,125,126,125,127,126,127,126,127,127,125,126,124,125,123,124,123, 122,121,121,120,121,119,121,120,122,122,123,123,124,125,125,127,128,128,129,129,130,130,131,132, 131,132,131,132,131,130,130,129,129,127,128,126,127,126,125,126,126,127,127,128,128,129,129,131, 131,130,131,131,131,131,129,130,127,128,125,124,124,123,121,121,120,119,119,117,118,117,118,116, 118,117,117,117,117,117,116,116,116,117,117,118,117,119,118,120,119,121,121,123,122,123,124,124, 125,124,124,124,124,122,124,123,123,123,122,123,124,122,124,124,123,124,123,124,124,125,124,125, 124,125,124,125,124,126,124,124,125,124,124,123,124,123,122,123,123,124,123,124,125,126,127,128, 129,131,132,134,135,135,137,137,139,138,140,140,140,141,141,141,141,141,140,140,140,139,139,139, 138,137,138,136,137,137,136,136,135,136,135,135,135,134,135,135,134,135,134,133,134,135,134,135, 134,136,134,136,135,136,135,136,135,134,134,133,133,132,131,130,128,128,127,126,125,125,125,125, 126,124,126,126,126,127,127,127,127,126,127,127,126,126,124,125,124,124,122,123,122,121,122,120, 121,120,121,119,121,120,119,120,119,120,119,120,119,120,119,120,121,120,122,121,123,122,124,124, 125,124,125,125,126,127,126,127,127,126,127,127,126,126,125,125,124,124,123,123,121,121,120,120, 120,118,119,119,118,120,119,121,120,122,121,123,122,124,123,124,124,124,124,123,123,124,122,123, 122,123,124,124,126,126,127,126,128,127,129,129,129,128,129,128,127,128,126,126,125,125,123,124, 123,124,122,123,123,121,122,122,122,121,122,122,122,122,122,121,123,122,124,125,126,126,126,128, 129,129,130,131,130,132,133,134,133,135,136,136,137,137,138,137,138,137,138,138,137,137,136,136, 135,134,135,134,133,134,133,134,133,133,134,134,134,135,134,135,135,136,135,136,134,136,134,135, 133,135,134,133,134,134,132,133,133,133,134,133,135,135,136,135,137,138,138,139,139,140,141,140, 141,142,140,141,140,141,139,140,137,138,137,135,135,133,133,132,130,130,127,127,126,123,123,121, 121,119,119,116,117,115,116,115,115,115,115,116,116,118,118,120,119,121,120,122,121,122,121,122, 121,122,120,120,120,119,120,120,119,120,119,120,120,121,123,121,124,123,123,124,123,124,124,125, 124,125,124,124,124,123,124,123,123,123,123,122,122,122,122,121,123,123,122,124,124,125,126,126, 128,127,129,129,129,130,129,130,130,131,131,130,131,131,130,132,131,132,131,132,131,132,131,130, 129,128,127,126,125,123,122,120,120,118,118,116,117,116,117,116,116,117,116,117,117,118,117,118, 117,119,117,118,117,118,117,116,117,116,117,116,116,116,116,116,117,116,117,116,118,117,119,118, 120,121,122,121,123,124,124,125,126,127,127,129,128,130,130,131,131,131,132,131,132,132,132,132, 132,132,130,131,131,129,129,128,129,128,127,128,127,128,128,129,130,131,132,134,135,137,137,139, 140,142,142,144,144,146,145,147,146,146,146,145,145,145,144,144,143,143,143,142,143,142,143,142, 144,142,144,144,144,145,146,145,146,145,145,145,144,143,143,141,141,140,139,139,137,137,135,134, 134,132,133,131,131,131,129,130,128,129,127,127,126,126,125,125,124,125,123,124,123,124,124,122, 123,122,123,122,121,121,120,120,118,118,116,115,113,113,113,112,112,112,111,112,112,112,113,113, 115,114,116,117,117,118,118,120,120,120,121,122,121,123,121,122,122,121,121,120,120,120,119,120, 119,120,120,120,122,122,123,122,124,124,126,126,126,127,126,128,127,127,126,127,125,126,125,126, 125,124,125,124,124,123,123,122,122,121,121,119,119,118,118,117,117,116,117,116,117,116,118,118, 120,120,122,123,123,125,125,127,126,128,128,127,128,127,127,127,125,125,123,123,121,121,120,118, 119,117,118,117,116,117,116,117,117,116,118,117,120,120,120,122,122,123,123,124,125,124,125,125, 126,127,127,126,128,127,128,127,128,127,127,126,127,125,126,125,126,125,126,126,126,127,128,128, 130,129,131,132,134,133,136,135,137,138,138,139,138,139,138,139,138,139,137,138,136,137,135,136, 134,134,133,133,132,133,133,134,136,136,139,139,142,143,143,145,145,147,147,149,149,150,150,150, 149,148,148,147,147,147,145,145,143,143,142,141,141,140,138,138,137,135,134,131,132,131,130,132, 133,135,136,139,140,142,143,143,145,145,146,146,145,146,146,144,145,144,144,143,144,143,145,144, 145,143,144,142,143,141,142,139,140,137,138,136,135,133,131,128,127,125,125,124,123,124,122,123, 120,117,115,113,113,113,115,116,118,119,121,119,120,118,119,118,118,119,119,120,120,119,116,115, 112,110,107,107,104,103,100,100, 97, 95, 93, 92, 89, 90, 87, 88, 87, 87, 88, 87, 89, 89, 92, 93, 95, 98,100,103,104,106,107,109,109,110,109,109,108,108,106,107,106,104,103,103,101,101, 99, 99, 97, 96, 93, 93, 91, 92, 90, 91, 91, 89, 90, 89, 91, 90, 93, 94, 97,100,102,104,105,108,108,110, 112,111,113,112,113,112,113,112,111,112,111,112,112,111,109,110,108,109,109,111,111,113,114,117, 120,123,126,130,133,137,139,142,144,145,146,146,147,146,147,146,147,147,145,147,147,148,150,152, 156,158,162,165,169,173,174,177,177,178,178,176,177,175,176,174,176,175,177,176,177,176,177,176, 174,173,170,166,163,159,156,152,150,146,143,140,136,133,129,128,125,126,124,125,126,127,128,128, 131,132,133,135,136,137,137,138,137,138,137,139,138,139,138,139,139,138,138,137,137,137,136,137, 137,138,141,142,145,148,149,152,154,157,159,161,165,165,168,166,167,163,163,161,161,161,163,165, 166,167,168,168,168,166,166,164,164,164,162,159,158,156,153,152,148,146,144,142,142,140,142,140, 142,140,143,142,145,144,146,146,147,145,143,140,136,133,127,122,118,112,107,102, 96, 92, 86, 81, 75, 72, 68, 66, 63, 63, 62, 62, 63, 65, 67, 70, 72, 75, 78, 80, 82, 83, 82, 84, 84, 84, 85, 86, 84, 85, 83, 84, 84, 83, 84, 85, 84, 86, 84, 83, 83, 81, 79, 78, 76, 75, 73, 72, 71, 70, 70, 70, 71, 73, 74, 77, 80, 81, 86, 88, 93, 96,101,104,106,109,110,113,113,113,113,111,110,108,104,103, 101, 99, 99, 99, 98,100,101,103,105,109,112,116,120,125,128,132,134,138,139,142,142,143,143,141, 140,137,136,135,135,134,135,136,137,138,142,144,150,154,158,163,166,170,172,175,178,179,184,185, 188,188,191,192,192,194,195,194,196,196,196,197,195,196,194,191,189,185,182,178,175,170,167,163, 159,155,151,149,145,143,141,140,140,138,137,135,134,133,131,131,129,130,129,130,128,128,125,124, 121,119,118,117,114,113,110,107,104,102, 99, 98, 98,100,102,104,110,112,118,120,124,126,129,130, 132,134,137,137,141,141,144,145,145,147,148,151,151,154,154,157,158,160,160,162,162,164,164,165, 163,163,161,160,159,156,156,154,154,154,154,156,158,158,161,161,164,163,165,165,163,162,158,157, 151,149,143,140,134,129,122,115,109,103, 99, 93, 90, 85, 84, 80, 80, 77, 78, 78, 79, 81, 83, 86, 87, 90, 91, 93, 93, 94, 94, 92, 92, 90, 89, 87, 86, 84, 83, 81, 80, 78, 77, 75, 75, 73, 72, 69, 69, 66, 66, 63, 61, 60, 59, 59, 59, 59, 60, 62, 63, 67, 69, 74, 78, 83, 86, 92, 95,101,104,109, 110,114,114,116,114,114,112,111,108,106,104,100, 98, 94, 94, 92, 91, 92, 94, 96, 99,102,105,108, 114,117,122,125,128,129,130,130,127,127,123,120,117,113,111,109,108,107,107,109,110,111,115,117, 123,127,132,137,142,147,152,155,160,162,167,170,173,177,179,184,186,190,191,194,196,197,199,200, 200,200,196,195,190,188,184,180,177,174,171,169,165,163,161,158,155,154,154,152,154,154,154,154, 152,152,149,148,146,146,144,146,144,145,143,142,138,134,130,126,121,116,113,108,106,104,101,101, 101,103,104,107,110,113,115,117,119,122,123,125,126,127,127,129,130,129,131,130,132,132,134,134, 136,137,140,141,143,144,145,146,146,145,146,144,143,141,141,140,139,140,141,143,145,146,150,151, 155,157,159,163,164,168,168,170,169,170,166,165,160,158,152,149,143,138,131,126,120,116,112,107, 106,103,104,103,106,107,110,112,115,117,120,120,121,123,122,123,121,121,119,118,113,113,108,107, 103,101, 97, 96, 92, 90, 88, 85, 84, 81, 80, 78, 77, 75, 74, 71, 70, 67, 66, 64, 64, 63, 62, 64, 64, 67, 69, 72, 74, 79, 81, 86, 90, 93, 96, 99,102,104,106,106,107,106,104,104,102,101,101, 99, 98, 97, 98, 98,100,102,107,110,115,119,125,128,132,136,137,140,138,139,136,135,132,128,125,121, 118,114,113,111,112,111,114,114,118,121,124,128,132,137,141,146,150,154,159,161,165,167,169,171, 176,179,184,188,192,197,198,200,201,201,202,202,202,203,201,200,198,194,191,187,186,183,183,182, 180,180,179,178,177,175,174,172,170,169,168,167,167,166,165,166,163,164,161,160,156,154,148,144, 137,132,125,119,111,107,102, 99, 96, 94, 92, 92, 93, 95, 97,101,105,107,111,113,117,118,121,122, 124,125,125,126,125,126,125,126,127,127,130,130,132,133,133,134,133,134,134,132,133,131,131,129, 129,127,125,125,124,124,124,126,127,128,132,134,138,142,145,150,152,157,160,162,164,165,166,166, 163,162,158,156,152,147,144,140,136,133,129,128,126,126,126,127,127,129,130,133,133,134,132,133, 131,128,127,124,121,116,111,108,102, 99, 92, 89, 83, 80, 76, 72, 71, 68, 67, 65, 65, 63, 62, 62, 61, 61, 60, 60, 59, 59, 60, 59, 60, 59, 60, 60, 62, 64, 66, 69, 69, 73, 73, 76, 77, 81, 84, 86, 90, 91, 94, 95, 94, 94, 92, 91, 89, 86, 86, 84, 83, 82, 82, 81, 83, 82, 85, 86, 89, 90, 93, 94, 96, 97, 95, 96, 93, 94, 91, 92, 91, 92, 92, 92, 94, 96,101,105,112,118,127,135,142,149,155,158, 164,166,171,172,176,178,177,178,177,175,173,171,170,169,167,169,169,170,172,173,173,175,175,177, 179,180,184,185,189,190,193,194,198,199,202,201,202,200,197,194,189,184,177,172,165,161,155,151, 145,143,139,138,135,133,132,131,129,130,129,130,130,132,133,135,136,139,140,143,145,145,149,150, 153,153,155,154,152,149,144,139,132,127,118,113,106,101, 95, 92, 89, 88, 87, 88, 89, 93, 98,105, 110,118,125,130,135,141,146,150,154,157,158,158,160,159,156,155,150,147,142,139,134,131,127,125, 121,121,120,119,120,120,121,123,124,128,130,133,134,136,136,137,137,136,135,135,134,135,134,135, 134,133,131,130,128,125,124,121,117,115,111,108,106,104,102, 99, 97, 97, 95, 97, 97,100,101,102, 105,108,110,113,115,119,120,122,122,122,120,118,115,110,106,100, 96, 90, 83, 78, 70, 66, 59, 56, 51, 50, 47, 48, 49, 50, 54, 57, 63, 67, 73, 78, 83, 89, 92, 96, 97, 98, 98, 96, 97, 96, 95, 95, 93, 93, 91, 90, 89, 86, 87, 86, 89, 90, 93, 96, 97,100, 99,100, 99,100, 99,101,103,105,107,111, 113,117,119,123,127,130,134,138,141,144,145,147,147,145,144,143,140,140,137,137,137,137,139,142, 144,149,152,158,162,168,172,177,181,186,189,194,197,200,204,208,210,214,216,218,218,218,215,212, 207,203,197,192,186,180,176,172,169,166,164,163,160,161,159,160,160,159,161,162,161,162,159,158, 155,153,150,149,148,145,145,143,143,140,141,139,139,136,134,131,128,125,121,120,115,114,111,109, 109,108,111,114,117,122,127,133,138,145,150,154,159,164,167,171,173,174,174,172,170,165,161,155, 150,142,136,129,123,116,111,106,103,100,100,100,103,107,111,118,124,132,139,145,151,155,160,164, 167,169,170,170,169,166,164,160,157,151,148,142,138,133,127,123,117,113,110,106,103,100, 98, 97, 95, 94, 93, 93, 92, 92, 94, 94, 97, 98,101,102,105,106,105,106,106,104,104,101, 99, 95, 89, 85, 78, 74, 68, 63, 59, 53, 50, 45, 43, 39, 38, 37, 39, 41, 47, 53, 61, 68, 76, 82, 90, 96,101,108, 112,115,119,120,119,118,114,109,103, 95, 90, 84, 81, 75, 73, 69, 68, 66, 66, 67, 66, 69, 69, 72, 74, 75, 78, 79, 81, 84, 85, 88, 90, 95, 98,102,107,111,115,120,124,129,131,134,135,137,137,139, 138,140,139,141,141,144,147,150,155,159,164,170,174,179,183,188,190,193,195,197,199,200,202,202, 204,204,205,203,202,198,196,192,186,182,175,171,166,161,157,153,152,151,149,151,152,153,158,161, 166,170,174,177,181,184,186,187,187,186,186,184,181,180,176,174,169,166,161,157,154,150,147,142, 138,133,130,125,122,118,115,112,111,108,109,109,110,110,113,114,118,122,125,129,133,137,141,144, 147,149,151,150,150,148,148,145,143,139,136,132,129,125,123,121,118,118,118,120,122,127,132,136, 143,147,155,161,165,171,173,176,175,176,174,170,167,161,156,148,141,132,124,114,107, 98, 92, 86, 82, 78, 77, 76, 74, 75, 76, 77, 81, 83, 88, 91, 96, 98,103,105,109,112,114,117,119,123,123,125, 124,121,119,114,111,105,102, 97, 92, 87, 80, 75, 68, 62, 54, 50, 44, 42, 38, 38, 36, 37, 37, 40, 43, 47, 51, 56, 60, 66, 71, 77, 81, 85, 86, 87, 88, 86, 83, 80, 76, 72, 68, 62, 60, 57, 56, 54, 55, 55, 59, 61, 68, 73, 80, 87, 95,102,109,116,122,128,131,136,137,140,142,143,145,145,146,144, 145,141,140,137,133,129,124,120,114,111,105,103,101, 99,101,104,106,112,117,125,132,139,148,155, 162,171,177,185,190,196,202,205,210,211,214,215,214,213,210,208,203,200,195,191,184,179,172,168, 163,159,158,157,155,157,158,162,163,168,171,176,178,182,184,185,186,185,183,178,175,170,165,158, 153,145,140,134,128,123,118,113,110,107,106,104,104,106,105,108,110,112,117,121,125,132,136,143, 149,155,162,166,172,175,180,182,183,185,184,183,180,176,171,164,159,151,144,136,129,122,116,109, 104,100, 97, 96, 96, 98,101,107,111,118,125,133,141,150,159,167,173,181,186,190,192,192,190,188, 183,179,173,168,161,155,149,142,137,132,127,125,124,123,124,124,125,125,126,126,127,127,129,130, 132,132,133,132,129,128,123,120,114,109,104, 97, 91, 85, 76, 70, 63, 56, 51, 45, 42, 38, 34, 33, 32, 32, 33, 35, 37, 39, 43, 47, 52, 59, 66, 74, 82, 89, 98,105,113,118,124,125,127,125,124,120, 115,107,101, 92, 84, 75, 67, 59, 54, 47, 45, 42, 41, 43, 45, 48, 53, 57, 64, 68, 74, 81, 85, 91, 94, 98,101,103,107,109,113,113,116,116,118,117,117,115,114,111,109,108,106,106,106,106,110,112, 118,122,129,135,143,149,158,166,173,181,187,193,198,203,206,207,209,209,207,206,202,200,194,191, 184,179,171,165,157,151,144,139,132,129,127,124,125,125,129,132,138,144,152,160,166,175,181,189, 194,199,203,204,206,205,204,200,197,192,186,179,174,167,163,156,152,147,144,139,136,133,131,129, 129,129,128,129,128,129,129,131,131,133,134,136,137,138,139,139,138,137,136,136,135,135,134,131, 130,127,125,121,118,115,114,112,113,114,114,116,117,121,124,129,133,140,146,154,161,169,176,181, 188,191,195,197,198,198,195,192,186,178,170,160,151,141,133,125,118,111,106,101, 98, 95, 94, 92, 93, 94, 94, 97, 99,103,106,110,113,116,118,121,122,124,124,125,124,123,121,119,115,114,110,106, 103, 99, 95, 94, 92, 90, 90, 88, 87, 86, 85, 83, 82, 79, 78, 76, 74, 74, 74, 75, 75, 77, 78, 80, 80, 82, 84, 83, 83, 80, 79, 75, 72, 67, 63, 59, 53, 49, 44, 40, 36, 35, 34, 36, 39, 42, 49, 55, 64, 71, 82, 90,100,108,117,123,131,135,141,144,148,150,151,152,151,151,149,146,142,138,132,128, 121,118,113,109,106,103,102,100,101,103,104,108,111,116,120,125,132,138,145,149,156,160,166,169, 174,175,178,178,180,180,180,181,180,178,178,177,175,176,173,173,172,171,172,172,173,175,177,179, 182,184,188,192,194,199,201,205,207,206,207,203,200,194,187,180,171,163,154,143,133,124,114,107, 100, 94, 89, 88, 85, 86, 86, 87, 90, 92, 97,100,107,112,120,125,132,137,143,147,152,154,158,161, 163,165,167,165,166,164,163,160,159,155,154,151,149,147,142,140,135,133,130,128,126,124,124,122, 122,121,122,122,124,124,129,130,136,138,143,145,147,146,147,145,143,141,137,134,129,126,122,120, 117,115,115,114,115,116,118,120,124,127,133,137,141,146,151,154,158,159,162,161,161,159,158,154, 148,143,134,127,118,109, 99, 89, 80, 71, 64, 57, 52, 47, 43, 41, 38, 38, 36, 37, 35, 37, 37, 39, 40, 42, 45, 47, 52, 55, 61, 64, 70, 73, 79, 83, 86, 91, 93, 96, 98, 98, 99, 97, 96, 93, 89, 88, 83, 82, 78, 77, 75, 76, 76, 79, 81, 85, 88, 92, 95, 97,101,103,105,106,107,105,106,104,103,101, 99, 97, 93, 92, 88, 87, 84, 81, 80, 79, 79, 79, 82, 83, 87, 92, 96,102,108,117,123,133,141,151, 160,169,178,186,194,199,205,207,212,213,214,214,214,213,210,206,203,198,194,188,184,179,176,171, 168,163,159,155,152,148,147,145,145,145,147,148,152,155,158,162,166,169,174,176,180,180,182,181, 179,176,172,170,165,163,160,158,155,155,153,151,150,150,152,152,155,157,158,161,162,163,165,165, 166,165,166,164,161,159,154,150,144,138,131,126,120,115,110,106,101, 98, 95, 94, 92, 93, 94, 95, 98,100,104,108,111,115,118,123,127,131,135,138,145,149,156,161,167,174,178,184,188,189,191,193, 191,191,187,185,181,177,172,167,162,156,152,147,144,141,136,135,131,131,128,128,127,127,128,128, 128,129,129,130,130,130,129,126,124,121,116,113,107,103, 98, 92, 89, 85, 84, 83, 83, 85, 85, 89, 90, 95, 98,101,105,107,111,112,114,113,114,113,112,109,108,104,101, 97, 92, 87, 84, 78, 74, 69, 65, 59, 54, 48, 43, 37, 33, 28, 23, 21, 18, 15, 16, 16, 19, 22, 28, 33, 41, 47, 57, 63, 73, 81, 89, 96,103,108,114,118,124,127,129,131,131,132,130,130,127,126,124,123,120,120,117,116,115,113, 112,111,111,113,114,117,119,121,124,126,128,131,132,135,136,138,140,140,139,140,138,138,137,137, 137,138,140,141,144,147,149,153,156,160,165,171,175,181,184,189,192,197,200,206,211,215,219,224, 226,230,232,231,231,228,226,222,216,209,202,193,184,175,164,156,146,140,133,126,121,117,112,110, 109,107,109,109,112,114,119,122,127,129,134,137,139,141,142,143,143,142,141,139,137,135,134,131, 130,128,128,127,130,131,134,137,140,144,147,149,151,152,153,154,153,153,152,149,148,145,144,140, 139,135,134,130,129,126,123,119,118,114,112,109,107,105,104,103,103,103,105,106,109,111,115,119, 123,128,132,138,142,148,153,158,163,168,173,176,180,181,184,183,181,177,172,167,159,152,143,135, 125,119,109,104, 96, 92, 86, 82, 79, 76, 74, 73, 72, 71, 72, 71, 72, 72, 70, 70, 68, 67, 64, 62, 59, 58, 56, 53, 53, 51, 52, 51, 53, 54, 54, 57, 59, 61, 63, 65, 67, 69, 70, 73, 74, 76, 79, 81, 86, 88, 93, 94, 99,100,104,104,108,108,109,107,107,104,101, 96, 92, 88, 82, 78, 74, 70, 66, 64, 60, 57, 56, 53, 54, 53, 56, 57, 61, 64, 69, 74, 79, 85, 93,100,109,117,125,134,142,150,157,161, 168,171,175,178,179,181,180,181,180,181,179,181,181,182,184,184,186,186,186,185,185,183,183,181, 180,178,177,175,173,172,170,169,169,167,168,168,167,167,165,164,163,161,160,158,157,156,155,155, 154,155,155,156,156,159,160,164,165,170,172,177,180,185,188,191,193,196,196,197,196,196,193,190, 186,180,174,165,158,148,141,132,124,116,110,103,100, 97, 96, 95, 97, 98,101,104,108,111,115,118, 122,124,128,129,133,134,136,138,140,141,144,144,147,147,150,151,152,154,155,157,157,160,161,163, 163,166,167,169,168,171,170,172,171,172,170,170,167,165,162,160,157,154,151,149,145,142,138,134, 130,124,119,113,108,101, 97, 91, 86, 84, 79, 79, 75, 76, 75, 77, 78, 83, 86, 93, 97,105,111,116, 123,127,131,134,137,137,136,133,130,123,119,111,106, 98, 93, 86, 81, 75, 71, 67, 61, 58, 53, 50, 45, 44, 41, 38, 37, 35, 32, 32, 31, 30, 33, 33, 37, 39, 44, 46, 51, 52, 57, 58, 61, 62, 65, 66, 68, 70, 70, 73, 74, 77, 78, 83, 85, 91, 95, 98,102,105,109,112,116,119,123,126,130,132,135,137, 138,140,141,142,143,142,143,142,139,137,133,129,124,120,115,112,108,107,106,107,107,109,113,116, 122,127,134,140,147,153,160,165,172,176,182,186,191,194,199,202,204,207,209,209,211,209,209,207, 206,203,202,201,197,196,192,191,187,183,180,175,172,168,165,162,160,157,155,152,151,149,147,146, 144,144,143,143,142,142,140,139,137,135,131,129,126,122,120,117,113,112,109,110,110,111,114,117, 123,127,134,140,148,153,161,165,171,173,177,178,179,177,177,173,171,165,161,154,150,142,137,131, 124,120,115,110,107,103,102, 99,100, 99,101,104,105,110,113,118,122,125,130,134,136,140,143,148, 151,155,158,161,163,165,167,166,168,168,167,167,165,164,161,160,156,154,151,146,143,140,136,134, 130,129,126,124,124,123,122,124,124,125,123,122,119,114,110,104, 99, 91, 84, 76, 68, 61, 53, 48, 41, 38, 34, 34, 33, 35, 36, 39, 42, 45, 49, 53, 58, 63, 69, 73, 79, 84, 87, 92, 95,100,103,106, 110,111,111,112,110,108,105, 99, 96, 91, 85, 82, 76, 74, 69, 66, 62, 59, 57, 55, 54, 55, 55, 57, 57, 60, 61, 64, 66, 69, 72, 75, 79, 84, 87, 93, 96,102,106,109,113,115,119,120,122,125,125,128, 128,131,132,136,138,144,147,154,160,165,172,178,185,190,195,198,202,203,206,207,206,206,203,202, 199,194,190,183,178,171,166,160,156,150,148,145,141,140,138,138,137,139,139,142,144,146,150,153, 158,161,166,169,174,177,180,184,186,190,193,194,197,197,198,198,196,194,190,187,182,178,171,166, 158,153,145,138,132,126,122,118,115,114,113,114,114,117,120,122,125,127,130,131,134,134,135,134, 131,130,128,124,123,119,118,115,114,114,112,113,113,115,117,120,125,130,134,142,147,154,159,166, 170,176,180,184,186,189,189,190,188,187,184,181,176,170,166,159,152,146,138,132,126,120,117,111, 108,105,100, 98, 93, 91, 88, 87, 85, 87, 86, 90, 93, 96,101,105,111,116,123,127,133,137,140,140, 141,138,137,132,128,124,118,113,108,103, 98, 94, 90, 86, 84, 81, 80, 80, 79, 78, 78, 76, 75, 73, 73, 71, 71, 70, 70, 68, 69, 67, 65, 63, 62, 58, 57, 53, 52, 48, 47, 44, 43, 40, 40, 40, 40, 42, 43, 47, 50, 56, 60, 67, 73, 79, 86, 92, 97,104,109,115,119,124,127,131,135,135,138,139,139,139, 138,134,133,130,125,122,116,112,106,102, 97, 95, 91, 91, 90, 92, 94, 96,101,105,111,118,124,132, 137,145,151,157,165,169,174,177,181,181,184,183,184,183,183,182,182,181,181,180,181,182,181,183, 183,186,188,190,192,195,195,198,199,199,199,198,198,195,194,191,187,184,180,176,170,165,159,155, 150,146,140,137,131,127,122,117,115,111,108,105,103,101,102,101,104,106,109,115,119,127,134,141, 148,156,162,169,173,177,179,182,183,181,180,177,173,168,163,156,151,144,139,133,127,123,118,115, 112,111,109,111,112,113,116,118,122,123,127,129,132,135,137,140,141,143,143,143,142,139,138,136, 134,134,132,133,133,133,135,135,137,138,141,142,145,147,147,149,149,150,149,151,151,153,154,154, 157,156,158,157,157,154,152,148,144,138,131,124,114,105, 95, 86, 77, 68, 60, 55, 48, 45, 41, 39, 40, 39, 41, 42, 45, 50, 53, 59, 63, 68, 75, 79, 85, 90, 93, 98,100,103,105,106,106,105,103,102, 100, 97, 94, 90, 86, 84, 80, 79, 77, 75, 75, 74, 74, 74, 75, 75, 78, 78, 81, 81, 84, 84, 84, 86, 87, 86, 87, 85, 87, 85, 86, 85, 84, 84, 83, 83, 81, 81, 81, 80, 82, 83, 83, 86, 87, 92, 95,102, 107,113,121,128,138,146,156,165,175,183,192,199,206,211,214,217,216,216,214,210,206,201,196,189, 182,174,169,162,157,151,148,145,142,140,140,140,142,145,147,150,154,159,162,167,170,174,178,180, 183,183,185,186,185,185,184,184,183,181,181,179,179,178,176,176,173,172,169,166,162,160,155,153, 150,147,147,144,144,143,142,143,143,144,144,145,145,144,142,141,139,135,131,128,124,119,116,110, 106,101, 95, 92, 88, 87, 85, 86, 87, 90, 93, 97,102,107,113,121,128,136,145,153,160,168,174,179, 182,186,187,187,187,184,182,177,172,166,161,155,150,146,140,137,133,131,126,125,121,120,116,115, 112,112,109,109,107,107,106,107,109,110,112,114,116,119,120,122,123,123,122,120,119,115,113,110, 106,104,100, 97, 95, 93, 92, 91, 91, 92, 92, 93, 95, 96, 99, 99,102,102,104,104,105,104,103,102, 99, 96, 92, 88, 84, 77, 73, 66, 61, 55, 48, 43, 38, 33, 30, 26, 24, 23, 23, 25, 26, 31, 34, 40, 46, 52, 60, 66, 74, 80, 85, 92, 98,102,108,111,115,118,120,122,122,124,124,123,122,121,118,118, 115,114,111,108,107,104,102,100,100, 98, 99,100,103,104,109,112,118,123,128,134,138,144,148,152, 155,159,160,162,163,162,163,162,162,163,161,162,160,161,161,163,163,167,168,173,176,182,187,191, 198,203,209,213,219,222,226,227,229,226,225,221,217,210,206,199,194,187,182,175,170,164,159,155, 150,145,141,137,133,129,126,121,120,117,117,116,118,119,123,126,130,133,137,140,143,148,153,156, 161,163,166,167,168,167,168,166,165,162,160,158,154,152,148,146,142,139,137,134,134,133,133,133, 133,133,135,136,139,140,143,144,144,145,143,142,139,137,132,129,124,121,116,114,111,109,107,107, 107,109,111,114,117,122,124,130,133,138,140,145,147,149,153,154,158,159,161,163,164,163,164,162, 161,158,156,151,147,142,135,130,121,115,108,101, 92, 87, 80, 76, 70, 67, 64, 62, 60, 59, 58, 60, 60, 62, 63, 66, 67, 70, 72, 74, 76, 77, 78, 80, 80, 81, 82, 81, 82, 81, 81, 80, 77, 78, 75, 76, 75, 74, 75, 76, 76, 79, 81, 82, 86, 88, 91, 92, 96, 96, 99, 98,100, 99, 99, 97, 95, 91, 90, 85, 83, 79, 76, 72, 70, 66, 65, 62, 61, 59, 59, 58, 59, 60, 61, 63, 65, 69, 72, 76, 83, 88, 96,102, 112,119,129,136,146,154,161,168,175,179,185,188,190,193,193,194,193,190,188,184,181,179,174,171, 167,163,160,157,155,153,154,153,156,156,160,162,166,168,171,172,175,175,177,175,175,173,171,168, 166,163,163,162,161,162,162,165,165,166,167,168,169,170,172,174,174,177,177,179,179,178,180,179, 178,178,177,176,174,172,169,167,165,160,158,153,150,145,141,136,132,126,122,118,113,110,107,103, 101, 99, 97, 96, 95, 96, 96,100,103,106,112,116,123,128,134,140,145,150,155,159,162,163,166,166, 164,164,163,160,159,156,153,152,149,150,148,148,148,148,148,147,148,147,146,146,144,143,140,138, 135,133,131,127,125,122,120,116,115,111,111,108,106,105,102,102,100, 99, 97, 97, 94, 95, 93, 95, 94, 96, 96, 99,101,103,107,108,113,114,118,120,120,122,121,122,122,119,118,115,113,109,106,101, 98, 92, 87, 81, 75, 69, 62, 57, 52, 46, 43, 39, 38, 36, 35, 36, 36, 39, 41, 45, 48, 53, 56, 61, 65, 67, 72, 74, 78, 80, 82, 83, 86, 86, 88, 89, 90, 92, 93, 94, 97, 98,101,102,105,105,107,107, 108,110,111,111,113,114,116,116,119,120,120,122,124,123,126,126,129,128,130,129,130,130,130,130, 130,132,131,133,131,133,132,135,134,137,138,141,144,148,152,155,161,166,174,180,189,195,203,209, 214,218,220,222,222,222,219,217,214,211,207,202,198,193,190,185,182,179,174,173,168,168,163,163, 159,158,155,154,153,150,149,146,144,143,140,139,137,136,136,133,134,133,132,132,132,133,133,135, 136,137,139,141,142,144,145,148,148,151,151,153,152,154,154,155,155,156,156,157,157,157,157,157, 157,157,156,156,155,151,150,147,142,137,132,127,122,117,114,111,107,106,103,105,104,108,110,113, 118,121,127,130,136,139,144,146,150,150,154,155,156,157,157,157,157,156,156,155,155,153,151,150, 147,146,142,141,136,134,129,127,122,120,115,114,110,109,105,104,101,100, 98, 94, 92, 88, 86, 81, 80, 75, 74, 71, 70, 67, 66, 64, 64, 62, 62, 61, 61, 60, 60, 60, 59, 60, 60, 62, 63, 65, 69, 71, 76, 79, 84, 88, 91, 95, 98,101,103,105,106,106,105,104,100, 97, 94, 88, 85, 80, 77, 72, 70, 66, 62, 60, 58, 55, 55, 53, 54, 55, 54, 56, 56, 59, 59, 62, 65, 67, 72, 75, 80, 83, 88, 91, 96, 99, 103,109,112,118,122,127,131,135,140,144,149,154,156,162,163,168,168,171,171,172,172,171,172,172, 172,174,174,176,176,178,179,181,180,181,180,180,178,176,173,169,165,162,158,156,153,150,149,147, 145,146,146,147,150,153,155,161,164,168,173,177,181,184,188,191,191,194,193,194,193,193,191,189, 185,182,178,174,170,166,161,158,154,151,147,145,142,138,137,135,132,132,129,129,127,126,125,122, 122,121,119,119,117,118,118,119,121,122,125,127,129,132,133,136,138,140,141,142,142,142,143,143, 144,145,146,147,150,153,157,160,163,167,169,173,175,176,177,177,176,174,171,169,164,160,154,149, 143,138,133,128,124,119,116,112,110,107,104,104,101,101, 99,101,100,103,103,106,109,111,114,117, 118,122,124,124,127,127,129,127,128,127,125,124,122,121,119,118,116,115,113,110,108,104,102, 98, 96, 93, 88, 86, 82, 79, 77, 72, 71, 68, 66, 66, 65, 63, 64, 62, 63, 61, 62, 59, 60, 58, 59, 57, 57, 55, 55, 53, 54, 53, 54, 55, 58, 59, 63, 66, 70, 73, 78, 82, 87, 91, 97,102,106,108,113,114, 117,117,120,119,121,120,120,118,118,115,113,109,108,105,104,102,102,102,103,103,105,107,107,110, 111,114,115,118,118,121,122,126,128,132,135,139,145,149,155,159,164,170,173,178,181,185,187,189, 191,191,192,192,192,190,190,189,187,185,185,184,184,183,184,185,185,185,184,185,185,185,184,182, 181,178,176,172,169,163,160,154,150,145,139,135,131,126,124,120,118,117,115,116,116,118,120,124, 128,131,137,140,146,149,154,157,159,162,162,164,165,165,164,164,163,162,161,159,160,157,156,156, 153,152,150,146,143,140,135,132,127,125,122,119,118,116,116,117,117,119,120,123,126,127,131,133, 136,138,138,140,140,139,140,138,138,138,138,137,138,137,138,139,138,140,140,142,143,143,145,145, 147,147,149,149,148,149,148,149,147,147,144,142,139,133,130,123,119,113,108,101, 97, 90, 85, 80, 76, 72, 69, 66, 65, 64, 63, 62, 63, 62, 63, 63, 65, 66, 69, 71, 73, 75, 78, 79, 84, 86, 89, 92, 95, 98,101,103,103,105,104,105,103,103,100,100, 97, 94, 92, 89, 87, 83, 82, 79, 79, 78, 79, 77, 78, 77, 78, 77, 76, 77, 76, 76, 77, 75, 77, 76, 77, 77, 77, 76, 76, 75, 75, 74, 74, 75, 76, 78, 80, 83, 88, 93, 99,105,112,118,125,132,138,144,148,155,159,162,166,168,172,174,175,177,177,178, 179,179,177,177,177,175,174,171,170,166,164,160,157,153,151,147,145,143,142,141,140,141,141,144, 146,147,152,155,158,163,167,169,174,175,179,181,181,183,183,183,183,182,181,179,178,175,174,172, 168,165,164,161,160,158,156,156,155,156,156,157,158,157,158,157,157,154,153,149,147,143,138,135, 131,127,123,121,118,117,115,115,115,115,115,115,116,116,118,119,122,123,126,127,130,132,137,140, 145,148,154,158,164,168,174,177,180,180,183,182,183,181,178,176,171,167,161,158,151,148,142,137, 134,129,125,121,118,116,112,112,111,110,111,111,111,113,113,115,116,117,119,120,122,122,123,121, 121,120,118,117,114,114,111,111,108,109,107,106,106,106,105,108,108,109,109,111,110,111,109,109, 108,106,106,104,102,100, 97, 95, 92, 89, 85, 83, 80, 75, 73, 68, 66, 61, 59, 55, 51, 49, 46, 43, 43, 41, 42, 42, 45, 47, 51, 54, 60, 64, 68, 73, 77, 83, 88, 93, 98,102,106,109,113,114,117,118, 117,118,115,115,112,109,107,103,101,100, 97, 98, 97, 98, 99,100,102,104,107,109,112,115,118,119, 122,123,126,128,128,130,130,133,134,136,137,139,141,142,144,148,149,152,153,155,157,159,161,162, 165,166,168,170,173,174,178,181,184,185,190,191,195,197,198,200,200,201,201,199,199,196,192,190, 185,180,176,170,165,159,153,147,141,136,130,127,122,120,118,115,117,116,120,122,126,130,134,139, 143,147,150,154,155,158,158,160,161,160,161,159,159,158,157,157,155,155,155,153,153,152,151,149, 148,146,146,143,143,142,140,139,137,137,136,136,137,136,138,137,139,138,139,137,137,136,134,132, 130,129,127,125,123,122,120,119,116,117,117,117,119,120,123,124,128,130,134,136,141,144,149,151, 155,156,160,160,162,161,161,158,157,154,150,145,139,134,127,121,114,109,101, 97, 91, 88, 82, 81, 77, 76, 73, 74, 73, 72, 74, 74, 74, 75, 76, 77, 78, 79, 80, 81, 83, 82, 85, 84, 87, 86, 88, 88, 89, 90, 89, 90, 88, 89, 88, 86, 87, 86, 87, 87, 88, 89, 90, 90, 92, 93, 94, 94, 94, 95, 96, 94, 96, 95, 96, 95, 95, 94, 93, 91, 88, 85, 82, 79, 75, 71, 69, 65, 63, 60, 60, 58, 60, 61, 64, 67, 73, 77, 84, 90, 99,105,114,121,127,135,140,147,152,157,161,163,167,170,171,173,173,173,173,173, 173,172,170,168,166,163,162,159,156,155,152,150,148,147,146,146,146,145,147,146,149,151,152,155, 157,159,161,163,163,166,165,166,168,167,168,169,167,168,166,167,165,163,163,161,160,159,160,160, 161,161,164,164,168,169,172,174,176,178,179,180,179,179,176,174,170,166,161,157,151,147,142,137, 132,127,122,119,115,114,113,111,112,111,112,112,114,114,117,118,122,124,129,133,136,141,145,150, 154,158,163,167,168,172,173,175,174,175,173,173,169,168,166,162,160,156,154,150,146,144,141,139, 137,135,132,131,129,128,127,125,126,124,124,123,124,122,122,121,119,119,116,116,112,111,108,106, 103,101, 98, 97, 95, 95, 94, 96, 96, 98,100,103,105,108,111,114,117,118,121,121,123,123,122,122, 121,120,117,115,112,110,106,103, 98, 94, 89, 84, 78, 74, 68, 64, 59, 56, 53, 52, 49, 49, 49, 49, 49, 51, 52, 53, 57, 59, 64, 66, 71, 74, 79, 82, 87, 91, 95, 97,101,103,105,107,107,108,107,107, 104,104,101,101, 99, 99, 99, 99,100,100,103,104,108,110,112,116,118,121,123,125,125,127,127,127, 126,125,125,123,123,122,121,119,120,119,120,120,120,121,122,123,126,127,131,133,137,140,143,147, 151,156,161,164,170,174,179,183,186,190,191,194,194,196,196,197,196,196,193,193,188,187,182,178, 174,170,163,160,154,151,146,141,138,134,132,130,130,129,131,132,133,135,137,138,142,144,146,147, 148,150,150,150,149,149,148,147,147,146,147,146,147,148,148,150,151,153,154,156,157,159,160,160, 161,160,162,161,162,162,161,161,160,160,158,158,155,155,152,151,147,146,142,140,136,134,129,128, 124,123,121,119,120,118,119,119,121,121,124,124,128,129,133,135,140,143,145,149,152,155,157,160, 161,163,163,162,162,160,157,155,149,147,141,137,132,127,123,118,115,111,108,106,103,100,100, 97, 97, 95, 95, 94, 92, 91, 89, 88, 86, 86, 85, 85, 83, 83, 82, 81, 80, 79, 77, 75, 74, 73, 73, 72, 74, 73, 75, 75, 78, 79, 83, 84, 88, 89, 92, 93, 97, 98,101,101,104,104,106,105,107,106,107,107, 105,103,101, 99, 95, 93, 87, 84, 79, 74, 70, 66, 63, 59, 57, 54, 55, 54, 54, 57, 60, 62, 68, 72, 77, 84, 89, 96,101,108,112,119,123,127,132,135,139,141,144,146,148,149,151,152,153,154,155,156, 157,156,157,156,157,155,156,155,155,156,155,155,156,154,155,153,154,152,153,152,152,151,151,150, 149,148,148,148,147,148,146,148,146,147,147,147,145,147,146,148,148,150,151,152,155,155,159,162, 166,167,172,174,178,179,182,182,184,183,183,182,179,175,172,167,163,158,153,148,142,139,134,131, 128,126,123,121,120,118,119,117,118,117,119,119,121,122,123,125,128,129,133,134,138,141,142,146, 148,149,151,153,155,155,157,158,159,159,160,160,161,162,162,160,162,160,161,160,159,158,157,156, 155,152,152,149,149,147,144,144,141,140,136,135,131,130,126,125,120,119,116,113,109,108,105,104, 103,101,103,102,105,107,108,111,113,116,118,122,125,125,129,130,131,133,134,135,135,133,133,132, 128,127,122,120,115,112,107,104, 99, 96, 91, 89, 85, 83, 80, 77, 76, 73, 73, 70, 70, 69, 68, 68, 67, 68, 68, 68, 70, 70, 73, 74, 76, 77, 80, 82, 83, 84, 86, 87, 88, 90, 89, 91, 91, 90, 91, 90, 92, 93, 94, 95, 97, 99,102,105,107,110,112,116,118,121,122,126,125,127,125,126,123,123,120,119, 116,114,112,110,109,108,107,106,106,105,107,108,110,111,113,114,118,120,124,127,131,135,139,143, 147,151,153,157,160,162,166,168,169,172,172,175,175,175,176,177,176,177,176,175,174,173,171,168, 167,163,161,158,156,153,152,148,148,146,145,142,143,142,143,142,141,142,140,140,138,138,135,135, 131,131,130,128,128,127,127,128,128,130,132,135,137,140,143,145,149,151,155,155,159,159,161,161, 163,163,164,163,163,161,160,159,156,155,152,150,146,143,141,139,136,134,131,128,127,125,125,123, 124,122,123,122,123,122,124,123,126,126,127,129,130,131,133,135,135,138,139,142,143,144,146,146, 147,148,146,147,146,144,143,141,141,139,138,138,137,137,135,134,134,131,131,129,127,126,123,122, 120,117,116,113,110,109,105,104,101, 98, 96, 94, 90, 89, 86, 85, 82, 82, 82, 80, 82, 81, 84, 86, 87, 90, 92, 94, 97, 98,102,103,107,108,111,112,113,115,115,117,116,118,117,118,118,118,116,116, 113,111,108,106,102,100, 96, 93, 89, 87, 83, 81, 78, 76, 75, 75, 75, 75, 78, 78, 82, 84, 86, 90, 92, 95, 98,100,103,104,107,108,111,113,114,117,118,122,123,127,129,133,135,138,141,143,147,148, 152,153,155,157,158,160,161,160,161,160,160,160,158,157,154,153,150,147,145,142,140,138,136,135, 134,132,132,131,133,133,133,135,135,136,136,138,139,140,140,143,143,146,147,150,153,155,158,160, 163,164,165,168,168,170,168,169,166,166,163,162,158,157,153,152,150,146,146,143,142,140,140,137, 137,135,136,134,134,134,132,132,131,131,130,130,129,129,128,128,126,127,126,127,126,127,127,129, 129,132,133,136,138,141,144,146,148,151,153,156,159,159,162,162,165,165,164,164,162,162,159,158, 156,153,152,148,146,144,141,137,135,131,128,124,122,118,116,113,112,110,108,106,106,105,106,105, 107,107,108,110,110,113,113,116,117,118,120,120,122,123,125,125,126,125,125,124,124,123,121,120, 118,118,116,115,113,112,111,108,109,106,106,104,104,102,100, 99, 96, 95, 92, 91, 87, 86, 84, 82, 81, 80, 77, 77, 76, 75, 76, 75, 77, 77, 79, 79, 81, 83, 83, 85, 86, 87, 88, 90, 91, 92, 93, 95, 97, 99,102,103,107,109,113,115,116,120,121,122,123,124,123,122,122,121,120,119,118,116,116,114, 114,113,114,112,113,112,114,114,114,116,116,118,119,121,123,124,127,128,130,131,133,134,136,136, 138,139,140,142,142,144,144,147,148,151,153,157,160,161,165,166,170,171,172,174,174,173,174,172, 172,171,169,168,166,164,162,159,158,155,154,153,149,149,146,143,142,139,137,135,133,132,130,129, 128,126,128,126,128,128,131,131,135,135,139,141,143,147,148,151,152,155,156,158,158,160,159,160, 159,159,158,157,155,155,152,152,150,150,148,146,146,143,143,142,141,141,140,141,141,141,141,140, 140,139,138,137,136,134,133,131,131,129,129,129,127,128,127,128,127,129,128,130,130,132,133,134, 135,136,137,139,140,140,143,144,144,145,145,146,145,144,144,142,141,139,138,136,132,131,128,124, 121,117,115,112,108,106,102,100, 97, 94, 92, 88, 88, 87, 86, 85, 86, 85, 87, 87, 87, 89, 90, 92, 94, 94, 96, 96, 97, 97, 98, 97, 98, 98, 98, 99, 98, 99, 99,101,102,102,104,105,107,108,108,109, 108,109,107,107,105,104,102,100, 99, 96, 95, 92, 92, 90, 90, 88, 88, 87, 86, 86, 84, 85, 85, 85, 84, 85, 85, 86, 88, 89, 91, 94, 95, 99,101,106,109,112,116,119,124,128,132,136,138,143,145,149, 150,154,154,157,156,158,158,156,156,153,152,149,147,144,142,140,139,136,136,134,135,134,135,136, 136,138,138,141,142,142,143,143,145,144,146,145,146,146,145,147,146,148,148,149,149,150,151,152, 153,154,155,155,156,157,157,158,157,158,159,158,160,158,160,159,160,158,159,158,158,157,157,154, 154,151,150,148,144,142,139,137,133,132,128,127,124,124,123,121,121,120,121,121,123,123,126,127, 131,133,137,140,144,148,150,154,156,159,160,162,162,164,163,163,161,161,158,158,155,154,152,150, 148,146,145,142,141,138,137,135,134,133,132,130,129,127,127,125,126,125,123,124,123,122,121,119, 119,116,116,114,114,112,112,112,111,111,110,111,110,111,111,112,112,113,113,115,116,116,118,118, 121,121,123,123,126,125,127,127,126,126,125,124,120,119,115,113,108,104, 99, 96, 92, 87, 86, 82, 81, 78, 79, 77, 79, 79, 80, 80, 83, 84, 85, 87, 88, 90, 91, 93, 93, 95, 95, 97, 98, 99,100,102, 102,104,104,104,105,105,106,107,107,107,108,107,109,108,110,109,111,111,112,112,114,114,115,115, 116,117,116,118,119,118,120,121,121,121,122,122,123,122,122,121,122,120,121,119,119,118,119,118, 119,119,121,122,125,128,130,134,137,142,146,149,154,158,160,164,165,168,168,171,170,171,168,168, 166,165,163,161,159,157,155,152,151,148,147,146,143,143,141,141,140,138,139,137,138,137,136,137, 137,138,139,139,141,141,143,143,145,144,146,145,147,147,147,147,146,147,146,148,147,148,147,148, 148,148,147,149,148,150,149,150,150,152,151,153,153,155,155,157,156,157,156,154,154,152,149,148, 145,143,140,138,134,132,129,127,125,124,122,122,121,121,122,121,123,123,125,126,129,130,133,134, 138,140,141,143,144,146,146,147,147,146,146,144,144,141,141,139,137,134,133,130,129,126,125,122, 120,117,116,113,113,111,109,109,107,107,105,105,104,105,104,106,105,106,106,107,106,106,104,105, 102,102, 99, 98, 97, 95, 95, 93, 93, 92, 93, 94, 95, 96, 99,100,104,105,108,110,113,113,116,116, 117,118,118,117,116,114,113,111,109,107,104,102, 99, 98, 94, 93, 91, 88, 87, 85, 85, 83, 84, 83, 85, 86, 87, 87, 90, 91, 94, 96, 98,101,103,106,109,111,115,117,120,122,126,127,130,132,134,135, 137,137,138,137,138,136,137,136,135,133,133,131,131,129,130,129,130,130,132,132,135,136,136,139, 139,141,140,142,141,142,140,141,140,140,138,138,136,136,135,135,135,134,135,135,137,137,139,141, 142,144,145,148,149,151,153,154,155,158,159,161,161,163,162,164,162,163,161,161,158,158,155,154, 151,149,145,144,141,140,138,136,133,132,130,129,127,126,126,124,126,126,126,129,130,133,135,136, 139,141,144,146,148,149,151,152,153,154,153,154,153,152,153,151,151,150,150,148,149,147,147,145, 146,144,145,143,144,143,144,144,143,144,142,143,141,142,140,139,136,135,133,131,129,127,124,123, 120,119,117,116,115,114,112,113,112,112,114,113,115,116,116,118,118,120,122,124,125,126,129,129, 132,133,133,135,134,136,134,135,133,130,128,126,121,119,114,111,107,104,101, 99, 97, 95, 93, 93, 92, 92, 92, 92, 94, 94, 96, 97, 98, 99,100,101,101,102,100,102,101,102,100,101, 99,100, 98, 98, 97, 98, 97, 97, 97, 98, 98,100,100,101,104,104,107,107,110,111,113,114,114,117,116,118,117,119, 117,119,118,119,117,118,118,116,116,116,114,115,113,113,111,111,109,109,108,106,107,106,108,108, 109,111,113,116,120,122,126,129,132,137,139,143,144,148,150,151,153,153,153,155,153,154,153,152, 152,151,150,149,149,148,147,146,144,144,143,143,142,142,141,142,141,141,140,141,140,141,141,141, 140,140,138,139,137,137,136,135,135,135,134,135,136,136,137,136,138,139,140,140,141,141,143,143, 145,145,147,148,150,152,152,154,155,157,158,158,159,159,159,158,157,155,155,152,151,149,147,144, 142,140,139,136,135,133,132,129,129,126,127,125,127,127,127,128,130,131,132,132,134,135,137,137, 138,138,139,140,138,139,138,138,136,137,136,136,135,135,135,134,135,133,134,134,132,133,132,131, 131,129,130,129,126,126,124,124,122,122,121,121,119,119,118,117,116,115,113,112,109,109,107,105, 104,100,100, 99, 98, 97, 97, 98, 98,100,101,103,106,107,111,114,115,119,119,123,123,125,125,126, 125,125,123,122,122,119,118,115,113,110,108,104,103, 99, 99, 97, 96, 94, 94, 93, 92, 93, 92, 94, 95, 96, 96, 98, 98,100,100,102,102,102,104,105,105,107,108,110,112,112,115,115,118,120,120,122, 122,124,123,125,124,124,126,125,126,126,128,127,129,130,130,132,132,135,136,137,136,138,137,138, 137,136,136,134,134,132,132,129,129,127,127,126,125,125,124,126,125,127,127,129,129,132,133,135, 138,140,142,144,147,148,150,151,153,154,155,155,156,155,156,154,155,153,153,151,151,150,150,149, 147,146,144,144,142,142,139,139,137,137,135,134,133,133,133,133,132,134,133,135,135,135,137,136, 138,138,138,140,139,141,140,142,142,142,144,143,144,144,144,145,145,145,146,146,146,147,146,147, 148,147,148,147,148,148,148,147,147,145,145,144,141,140,137,136,134,130,129,126,125,122,121,120, 118,117,116,116,116,115,116,116,117,117,117,118,118,119,120,120,122,122,124,125,127,128,130,131, 133,134,134,136,135,136,134,133,133,130,130,127,125,123,120,119,116,115,113,112,111,110,110,109, 110,109,109,109,108,109,108,110,108,109,109,108,109,109,108,106,107,105,105,105,104,103,103,101, 103,101,103,104,104,106,108,109,110,112,113,116,116,119,118,121,120,121,120,121,120,120,119,120, 118,119,118,118,118,117,117,116,116,114,114,112,112,110,110,107,108,107,105,106,105,106,107,108, 108,111,111,114,115,118,120,123,125,127,129,131,133,134,136,136,138,139,139,141,140,142,142,142, 143,142,143,142,143,143,142,143,142,143,143,142,143,143,142,143,141,142,141,139,139,138,137,136, 134,134,132,132,132,130,131,130,131,131,132,133,133,134,135,135,137,136,139,139,140,141,142,144, 144,147,147,149,149,151,152,152,154,155,154,156,154,156,154,155,154,152,152,150,150,149,148,146, 144,142,140,139,137,137,136,133,134,131,132,131,131,130,131,130,131,130,131,131,132,132,131,132, 131,132,131,130,131,130,131,130,131,130,132,131,133,132,134,134,135,135,136,136,134,135,133,133, 132,130,129,128,126,126,124,124,122,123,121,121,119,119,117,118,116,114,114,111,111,108,108,106, 105,104,103,103,102,103,103,104,104,106,106,108,110,110,112,113,116,116,119,119,121,122,122,123, 122,123,123,121,121,119,119,116,116,114,112,110,110,108,107,106,105,105,105,105,104,104,102,103, 102,103,101,102,101,102,100,101,101,102,102,103,103,106,107,108,110,112,112,114,115,117,118,119, 120,120,122,121,123,122,124,123,125,124,126,126,127,127,129,130,129,131,130,132,132,132,131,132, 130,132,130,131,130,131,129,130,128,129,129,127,128,128,128,129,130,129,131,132,132,134,134,137, 137,140,141,142,144,145,145,147,146,147,147,148,148,149,149,150,150,151,150,151,150,151,150,151, 149,150,148,148,146,146,144,144,142,142,140,140,138,139,137,137,136,137,135,137,136,137,136,138, 138,138,140,139,141,141,142,141,143,142,144,144,144,145,145,145,146,144,146,144,145,144,145,145, 145,144,145,144,145,143,144,143,141,141,140,137,137,134,133,130,130,127,127,126,125,123,124,122, 123,122,123,121,122,121,122,122,120,121,120,121,120,120,121,120,122,121,123,124,125,125,127,127, 129,129,130,129,130,130,129,130,130,128,128,126,126,126,124,124,122,122,120,119,119,117,118,116, 116,115,115,114,114,114,113,114,112,113,111,112,111,109,108,107,105,105,104,102,103,101,102,101, 103,102,104,104,106,107,109,111,111,113,114,114,115,115,116,116,117,117,116,117,116,116,116,116, 115,116,115,116,115,115,114,115,114,114,113,114,112,112,111,111,110,110,110,110,110,110,111,111, 112,112,114,114,116,116,118,119,119,122,122,124,125,126,128,128,130,131,131,133,134,134,136,136, 137,138,138,140,140,142,143,143,145,146,145,147,146,146,146,145,145,143,143,141,141,138,138,136, 136,134,134,132,134,132,133,133,134,134,134,133,135,135,136,137,137,139,140,141,142,143,143,145, 145,147,147,147,149,149,150,151,150,152,151,152,153,152,152,152,151,152,151,150,149,148,147,145, 145,143,142,140,140,139,137,137,135,135,133,134,133,133,132,133,131,132,130,131,130,128,129,126, 127,126,126,126,126,125,127,126,128,127,129,129,130,131,132,132,133,132,133,132,132,132,132,131, 131,130,130,129,129,129,127,128,126,127,125,125,124,123,123,121,121,118,118,116,116,114,114,112, 113,112,111,111,110,110,110,109,111,110,112,112,114,115,115,118,118,120,121,122,123,123,124,123, 124,122,122,120,121,119,118,117,116,116,115,114,114,112,113,112,112,111,111,110,110,110,108,109, 107,107,105,106,105,103,104,103,103,102,103,103,103,104,104,106,106,108,108,109,109,111,110,112, 112,114,115,114,116,116,117,117,119,119,121,121,122,123,123,125,124,125,125,126,127,127,127,128, 128,127,128,128,128,128,127,128,126,127,127,126,127,127,128,128,129,129,131,131,133,133,135,136, 137,136,138,138,139,138,140,140,140,141,142,142,143,143,145,145,145,146,146,147,147,148,149,148, 149,148,149,149,147,148,147,148,146,146,144,145,144,142,142,140,141,139,140,138,139,139,138,139, 139,140,139,141,141,140,142,141,143,142,143,143,143,144,143,144,143,144,144,145,145,147,147,147, 148,147,148,147,148,146,146,144,144,142,142,139,139,137,135,134,133,132,131,130,130,129,128,128, 127,125,125,124,124,123,121,121,120,119,119,118,119,119,119,118,120,120,120,122,122,123,124,124, 126,126,127,127,128,128,129,128,129,129,129,129,128,128,127,127,125,125,123,123,123,121,122,121, 120,120,119,120,119,119,118,118,117,116,115,114,112,112,110,109,108,108,107,105,106,106,105,106, 107,106,107,107,109,109,110,111,110,112,111,112,112,111,112,111,110,111,111,111,111,111,112,111, 111,112,111,112,111,112,111,111,111,110,109,109,108,109,107,108,106,107,106,107,107,105,106,106, 106,107,106,107,108,109,110,111,111,113,115,116,117,117,119,119,122,122,124,126,127,129,130,132, 133,135,136,138,139,141,142,143,142,144,144,144,144,144,142,143,141,141,139,139,137,137,136,135, 135,133,134,133,134,132,132,133,133,134,133,135,136,137,137,137,139,139,140,140,141,141,142,142, 143,142,144,143,145,145,145,146,146,147,147,149,148,150,150,151,150,152,151,150,150,150,149,149, 147,148,146,146,145,145,143,144,142,143,141,142,140,140,139,137,137,134,135,132,132,129,130,129, 128,128,127,128,128,127,129,129,130,131,131,133,132,134,133,133,134,134,134,135,133,134,133,134, 133,133,132,133,133,131,132,130,131,130,130,129,129,128,128,126,127,125,125,124,124,124,121,122, 120,120,118,118,117,116,117,115,116,116,117,118,119,119,119,121,120,122,121,123,123,123,123,124, 123,124,122,123,123,123,122,122,123,122,123,124,122,123,122,123,121,121,119,119,117,117,116,114, 113,111,109,108,106,105,105,102,103,101,102,101,101,102,101,102,102,103,103,105,104,107,106,108, 108,110,109,111,111,112,112,113,113,113,114,114,114,115,115,116,116,118,117,119,118,118,120,119, 120,119,120,119,120,119,120,121,120,122,122,123,122,124,124,126,126,126,127,127,127,129,128,129, 129,129,131,129,131,131,131,131,133,133,135,134,136,136,138,139,140,140,142,143,144,146,145,148, 147,148,147,149,147,149,147,147,147,144,145,142,142,139,140,138,138,135,136,135,136,134,136,135, 136,136,136,137,136,138,137,138,139,138,139,139,140,140,140,141,142,141,143,142,144,143,145,143, 145,144,143,143,142,141,140,140,139,138,138,136,137,135,136,134,135,134,134,133,133,134,132,132, 131,130,129,128,126,126,124,124,123,122,122,121,119,120,119,120,119,120,120,120,122,121,123,124, 124,127,127,130,130,132,131,133,132,134,133,134,133,132,133,132,132,132,130,130,129,129,128,128, 127,128,126,127,125,126,125,123,124,122,122,121,120,120,118,119,119,117,118,117,119,119,118,119, 119,118,119,119,118,119,118,119,118,118,117,117,117,115,116,114,116,114,115,114,115,114,115,114, 115,115,115,115,115,115,115,115,114,115,114,113,113,111,111,109,109,106,107,105,105,104,104,103, 102,103,102,103,104,105,105,105,107,107,109,109,111,113,114,114,116,117,119,121,121,124,125,126, 128,128,130,132,131,133,132,134,134,135,134,135,134,134,135,133,134,133,134,134,133,134,133,134, 134,134,135,135,134,136,135,136,135,137,137,137,137,137,137,136,137,135,135,136,135,135,135,135, 135,135,136,136,138,138,140,141,143,144,146,148,147,150,150,153,153,153,153,153,152,152,150,150, 148,148,146,146,144,144,142,142,140,139,138,136,136,134,134,132,132,130,131,130,130,131,130,131, 130,133,132,134,134,135,135,136,136,136,135,136,135,135,133,133,132,132,131,131,130,129,128,128, 127,127,126,127,126,127,126,128,128,128,129,130,130,131,130,132,130,131,129,130,128,127,127,124, 125,122,122,119,120,118,117,118,117,118,118,117,119,119,120,121,121,123,123,125,124,127,126,128, 128,128,129,129,130,130,130,131,130,130,130,129,129,128,127,126,124,123,121,120,119,116,116,113, 113,111,110,110,108,108,108,107,108,106,107,107,108,109,108,110,109,111,111,112,111,112,112,112, 112,111,112,110,111,109,110,108,110,108,110,109,110,110,111,111,113,114,114,114,116,116,117,117, 118,119,119,119,120,120,121,120,121,120,121,121,122,121,122,121,122,122,121,121,121,122,121,122, 123,123,124,124,125,126,127,129,130,132,133,135,135,138,138,140,140,143,143,145,146,146,148,148, 147,148,147,147,146,146,144,144,143,140,141,139,138,138,137,137,136,138,138,139,140,140,141,142, 143,143,144,143,144,144,143,144,143,143,143,143,143,142,143,142,143,142,143,141,142,141,142,140, 141,141,141,140,141,140,141,141,140,141,140,142,142,142,142,141,142,140,140,139,138,137,135,135, 134,132,131,129,127,126,124,123,121,121,120,118,119,118,119,118,119,121,121,123,124,124,126,127, 129,129,131,131,133,132,133,133,132,132,131,131,131,129,129,128,127,125,126,124,125,125,124,125, 124,124,124,124,124,124,124,124,124,123,124,123,123,123,121,122,122,121,121,121,119,120,119,118, 117,117,116,116,115,115,113,114,113,114,113,113,113,114,113,114,114,115,115,117,116,118,118,118, 119,118,119,119,119,119,117,117,116,115,115,111,111,108,108,105,105,103,103,101,102,101,100,101, 101,101,102,102,103,104,104,106,106,108,108,108,109,109,111,111,113,113,113,115,115,116,117,117, 118,118,120,119,121,122,122,124,124,125,126,126,128,129,130,131,133,134,133,135,134,136,136,137, 136,138,138,137,138,138,137,138,138,137,138,136,137,137,137,136,136,134,135,134,135,135,134,136, 137,137,139,141,141,144,145,148,148,150,150,152,152,153,152,154,154,152,153,152,152,151,151,149, 148,147,146,146,145,145,143,143,143,141,141,140,139,139,138,139,137,138,137,138,137,138,137,137, 136,137,136,137,136,135,136,134,134,132,133,130,131,129,130,128,129,127,128,126,127,126,127,127, 128,128,129,129,130,131,131,133,132,134,134,134,135,134,134,134,132,132,130,129,127,126,124,123, 122,119,120,117,118,117,116,117,117,119,118,120,120,122,122,124,125,126,126,127,127,128,128,128, 129,128,129,128,128,129,129,128,128,127,126,126,125,124,124,122,122,121,121,120,119,119,118,118, 117,116,116,115,115,115,113,113,112,113,111,112,111,111,110,110,110,108,107,107,105,105,104,103, 103,101,102,101,102,102,103,104,103,105,105,107,108,108,110,111,111,112,113,113,114,113,115,114, 115,113,114,114,113,114,112,113,112,112,111,112,112,112,112,112,111,113,113,115,114,116,116,119, 119,120,122,122,124,124,126,126,128,129,129,131,131,133,133,135,135,137,137,138,138,140,139,141, 141,141,140,141,140,141,141,140,141,142,141,143,142,144,144,145,144,146,145,147,146,148,147,147, 147,145,146,144,145,143,144,142,143,141,142,141,141,142,141,143,142,144,143,144,145,145,146,146, 148,148,148,149,149,148,150,150,149,149,148,149,148,147,145,145,143,142,141,140,138,137,135,134, 131,131,130,127,127,126,126,124,124,123,124,123,124,124,125,125,126,126,128,128,129,131,130,132, 131,132,132,133,132,132,131,131,130,129,129,127,128,126,127,126,127,126,127,127,128,128,129,129, 130,130,130,130,131,130,131,131,129,129,128,128,127,125,126,123,124,122,122,120,121,118,119,117, 118,116,117,116,117,116,117,117,117,117,117,116,117,117,118,117,119,118,120,119,120,119,120,120, 120,120,120,119,118,116,116,114,114,111,112,109,109,107,107,105,106,105,105,105,105,104,105,105, 106,105,106,106,107,107,106,107,106,107,107,106,108,107,108,107,108,108,108,109,108,110,109,111, 111,113,113,114,116,116,118,119,121,121,123,124,125,126,127,129,128,129,129,129,130,130,130,130, 130,130,131,131,130,131,130,131,130,132,130,132,131,132,131,132,131,133,132,133,133,135,135,136, 138,139,139,142,143,143,145,144,146,145,147,146,147,146,147,146,147,145,147,145,146,145,146,145, 146,145,146,145,145,146,145,146,145,146,144,145,145,144,144,144,142,143,142,142,140,140,139,139, 139,137,137,135,136,133,134,132,133,132,131,132,132,131,131,130,131,131,132,131,132,133,132,133, 133,134,134,135,135,136,135,136,136,135,136,136,134,134,133,131,131,128,128,125,126,123,124,122, 123,122,122,122,123,123,124,124,125,126,127,127,129,129,130,129,131,131,131,131,131,130,131,129, 130,129,129,127,127,125,126,124,125,125,123,124,123,124,124,123,124,123,124,123,123,123,123,122, 123,122,122,121,121,119,120,118,118,116,116,114,114,111,111,108,108,106,106,103,104,102,102,101, 102,101,102,103,103,103,105,105,107,107,109,109,111,112,111,113,112,113,113,113,112,113,113,110, 111,109,110,108,108,107,108,107,107,107,106,108,107,109,109,110,111,112,114,116,115,118,118,120, 121,121,123,123,123,125,124,126,126,127,127,128,128,129,129,131,130,132,131,133,133,133,134,134, 135,135,134,136,135,136,137,137,138,138,140,141,140,142,142,143,143,144,144,144,144,142,143,142, 141,141,140,141,140,141,140,141,140,142,141,142,141,143,143,144,144,144,143,145,144,145,144,145, 144,145,144,145,146,145,147,146,147,146,147,145,147,145,146,146,145,145,145,143,143,142,141,139, 138,136,133,132,129,129,127,126,123,123,121,121,121,120,121,121,123,124,127,129,130,133,132,134, 134,136,136,137,135,135,133,130,129,126,124,120,118,115,114,114,113,113,112,114,114,117,118,122, 124,128,131,135,139,143,146,150,152,154,156,155,157,155,156,154,150,148,143,139,132,127,120,113, 107,101, 95, 93, 89, 86, 85, 85, 85, 88, 90, 94, 98,102,108,112,120,124,131,134,139,141,146,147, 150,149,150,148,146,142,136,131,124,118,109,104, 98, 92, 88, 83, 81, 79, 78, 79, 81, 84, 87, 91, 95,100,106,110,117,120,126,128,133,135,138,140,140,140,139,138,134,131,125,119,111,105, 98, 94, 88, 83, 80, 77, 76, 76, 76, 79, 81, 86, 89, 95,101,109,116,123,131,136,143,147,154,158,161,163, 167,168,169,169,167,163,158,152,147,141,135,128,123,117,113,108,106,103,103,102,103,106,109,114, 119,125,132,137,144,148,155,159,162,166,169,170,173,173,173,170,167,162,158,152,147,141,137,132, 128,124,123,121,122,121,123,124,127,130,135,138,144,148,154,157,162,165,167,168,171,170,171,169, 169,165,162,156,151,144,138,131,125,119,111,106,100, 97, 94, 92, 92, 91, 92, 94, 97,100,106,110, 116,121,127,132,138,141,146,149,153,155,158,158,158,155,153,148,144,138,134,128,123,117,113,110, 107,107,105,106,106,109,111,113,118,123,126,132,135,140,143,147,148,150,150,151,151,151,150,148, 144,141,136,130,126,120,115,110,104,101, 98, 96, 94, 95, 94, 96, 98,101,105,110,114,118,125,129, 135,140,143,147,149,152,153,155,154,154,152,149,144,137,132,124,118,109,102, 94, 87, 83, 78, 75, 72, 71, 71, 71, 74, 76, 80, 84, 90, 94,101,105,112,115,120,123,127,129,133,134,136,135,135,132, 130,126,120,116,109,105, 99, 95, 89, 87, 83, 82, 81, 81, 83, 85, 88, 94, 98,103,110,114,120,126, 130,135,139,142,147,149,153,155,156,156,155,154,150,148,142,138,132,127,123,118,115,111,109,106, 106,106,108,111,114,119,123,130,135,142,147,154,158,163,167,172,175,178,180,179,179,176,175,171, 165,161,153,147,139,134,127,123,119,114,112,110,111,111,113,117,120,125,131,135,142,147,153,156, 162,166,171,174,176,176,178,177,175,173,169,165,158,153,146,141,134,130,124,120,115,113,109,108, 107,108,108,110,112,116,119,124,128,130,135,138,140,145,147,150,151,153,153,151,150,147,144,139, 133,129,122,118,112,109,105,101, 99, 97, 96, 97, 97,100,103,107,112,116,122,127,131,136,140,144, 147,152,154,156,158,157,158,156,155,150,147,142,139,135,129,126,120,118,114,111,109,107,107,107, 106,108,109,112,114,117,120,120,124,126,128,129,133,133,135,134,136,135,133,131,127,123,119,114, 110,104,101, 97, 93, 89, 88, 86, 87, 86, 88, 89, 93, 96,100,105,108,113,116,121,125,129,133,134, 137,137,139,138,138,135,132,128,121,117,110,105, 98, 93, 88, 83, 79, 76, 73, 73, 73, 73, 75, 78, 83, 88, 91, 97,101,105,110,114,119,121,126,128,130,134,135,137,137,137,134,134,130,130,125,125, 120,120,116,117,115,116,115,117,119,121,123,128,131,135,138,142,145,149,152,154,156,156,158,158, 159,157,157,154,152,148,143,140,134,130,123,120,115,112,109,108,106,107,107,110,114,118,124,129, 136,141,148,154,160,165,169,174,177,180,182,184,184,185,184,181,179,173,169,163,158,151,145,138, 133,127,122,118,114,112,109,110,110,112,114,116,119,122,126,130,133,137,139,142,144,147,149,151, 152,152,151,150,148,146,142,139,135,130,126,122,119,116,114,111,111,110,112,113,118,120,125,128, 133,137,143,146,151,152,156,157,160,161,160,160,159,155,152,147,143,136,131,123,117,110,105,100, 94, 91, 88, 85, 85, 86, 87, 91, 94, 99,104,110,116,123,128,133,139,141,147,148,153,153,156,155, 155,152,150,148,142,138,131,127,121,116,109,105,100, 95, 92, 89, 88, 87, 88, 89, 90, 93, 97, 99, 105,106,111,113,117,118,121,123,124,124,124,123,121,119,114,112,106,102, 96, 93, 87, 84, 78, 77, 73, 73, 72, 74, 77, 81, 86, 92,100,107,114,122,128,135,140,147,151,156,159,161,162,163,161,160, 157,153,147,142,135,129,123,117,112,107,103,101,100, 99,100,102,105,108,113,119,124,132,138,143, 151,154,161,165,170,175,179,183,185,187,187,188,185,184,179,177,172,166,161,155,150,145,140,136, 134,131,130,131,130,133,135,140,143,147,150,152,155,157,158,160,160,160,160,160,158,158,155,152, 149,144,141,135,131,125,121,115,111,106,104,101, 99, 98, 98, 99, 99,102,105,110,116,120,127,131, 139,141,147,147,151,151,151,151,150,148,144,141,135,129,123,117,108,102, 92, 86, 78, 71, 66, 60, 58, 56, 55, 58, 60, 65, 69, 75, 79, 84, 88, 92, 94, 98,101,102,107,109,113,116,120,122,124,125, 125,126,124,124,121,121,117,117,115,114,114,113,114,115,116,119,121,122,126,128,131,135,138,142, 145,145,148,148,147,147,144,143,140,136,133,128,124,118,113,106,101, 95, 90, 86, 83, 82, 81, 82, 86, 90, 96,102,110,116,123,130,137,143,149,153,157,159,162,161,162,159,159,157,153,151,145,142, 135,130,122,116,108,103, 96, 91, 84, 81, 77, 77, 76, 79, 80, 85, 88, 94, 99,106,113,119,128,134, 143,149,155,161,164,168,169,169,169,167,166,162,159,156,150,147,143,139,137,135,135,135,137,139, 142,144,148,152,157,161,165,169,173,178,183,187,191,193,194,195,193,192,188,185,180,174,167,161, 152,147,139,133,127,123,120,119,120,122,126,128,134,137,141,145,148,151,155,156,160,161,166,167, 171,171,174,173,173,170,168,162,158,151,146,139,133,128,120,117,112,108,106,104,103,102, 99, 98, 96, 96, 94, 93, 94, 93, 95, 96, 98,100,102,104,104,104,103,100, 98, 95, 91, 88, 83, 80, 76, 75, 71, 72, 69, 71, 69, 72, 73, 77, 83, 88, 96,103,109,116,122,127,132,135,139,141,144,146,147,148, 148,149,148,147,144,142,137,133,127,121,115,108,101, 93, 86, 80, 75, 72, 69, 68, 69, 70, 73, 76, 81, 86, 90, 95,102,106,114,119,127,132,137,141,144,148,148,150,148,148,144,143,137,135,129,125, 118,115,111,107,104,102,101,101,103,105,107,110,112,113,115,114,117,116,119,118,120,119,119,119, 119,119,118,115,114,111,111,110,109,107,106,105,104,103,103,102,104,106,107,110,113,118,124,128, 135,140,147,151,158,163,166,171,173,177,178,179,178,177,175,172,169,166,163,160,154,152,145,142, 136,133,126,123,118,114,113,114,114,117,120,124,128,133,138,144,149,154,159,161,164,166,166,167, 166,166,163,162,158,157,152,149,143,140,132,129,123,119,117,115,117,118,122,125,131,135,141,145, 150,152,156,156,157,156,158,157,157,157,156,155,152,150,148,143,139,134,127,122,115,108,103, 98, 93, 90, 86, 85, 84, 84, 86, 88, 93, 96,102,107,116,122,132,140,148,154,163,167,174,176,180,180, 179,179,175,173,168,166,162,158,155,151,147,145,140,137,135,132,131,128,128,127,126,125,126,125, 127,125,127,126,128,126,128,126,127,124,124,123,120,120,118,116,114,112,109,108,106,106,106,106, 106,108,108,111,112,116,119,125,129,134,139,143,147,152,155,159,161,162,162,160,157,155,149,146, 139,134,126,120,111,106, 99, 95, 89, 87, 85, 85, 84, 88, 89, 94, 96,102,106,113,118,125,131,134, 141,143,149,149,154,154,157,155,157,155,153,151,147,144,137,132,125,121,114,112,107,108,106,108, 108,111,112,115,118,119,120,122,123,122,124,123,125,125,125,127,127,128,128,129,128,125,122,119, 113,109,103,100, 95, 90, 87, 84, 82, 81, 81, 81, 82, 84, 84, 87, 89, 94, 98,105,111,119,127,134, 141,148,154,158,162,162,164,162,160,157,153,149,142,137,129,123,115,107,102, 95, 91, 87, 85, 83, 83, 83, 85, 86, 89, 92, 93, 97, 99,103,106,108,110,112,114,116,117,120,122,124,125,128,127,129, 128,129,126,126,122,122,119,120,120,121,124,126,131,135,140,144,149,154,159,161,166,169,170,172, 172,172,170,168,164,161,156,151,147,140,134,127,118,111,102, 95, 88, 84, 78, 76, 73, 74, 74, 78, 82, 86, 92, 97,102,109,114,122,128,135,141,147,151,155,159,159,162,162,163,162,160,159,154,152, 145,141,132,127,120,113,108,104,100, 97, 96, 95, 96, 97,100,104,107,113,118,124,131,137,144,148, 153,157,160,162,163,164,164,165,163,163,162,159,157,154,149,148,144,142,139,138,135,136,137,138, 142,146,152,157,165,172,180,184,191,194,198,198,200,197,196,193,190,184,180,173,168,159,152,144, 133,125,115,105, 98, 91, 85, 83, 82, 81, 84, 85, 90, 93, 97,101,105,109,112,114,117,120,122,126, 128,132,133,135,136,135,136,134,131,128,122,118,111,107,101, 95, 91, 86, 83, 80, 80, 78, 79, 78, 79, 81, 82, 85, 87, 91, 93, 97, 99,102,103,105,104,104,102,101, 96, 94, 89, 85, 80, 77, 72, 71, 68, 65, 64, 62, 63, 65, 68, 72, 78, 83, 91, 98,107,115,125,133,144,151,162,168,178,183,190,193, 198,198,199,196,193,188,183,176,167,161,153,146,139,132,126,120,116,111,108,106,105,106,107,109, 112,114,119,122,128,131,138,142,146,151,154,159,160,163,163,163,160,158,154,149,145,139,135,129, 125,119,116,114,111,110,108,109,110,109,111,111,112,112,114,113,115,115,117,117,120,119,122,122, 121,122,119,118,113,111,105,102, 97, 94, 91, 88, 88, 89, 89, 93, 96,101,105,111,115,121,125,131, 135,139,145,149,156,161,169,175,181,188,193,197,201,201,202,199,196,192,187,182,177,171,166,162, 157,153,148,143,140,135,132,128,127,124,126,126,129,131,134,138,142,144,149,150,153,153,155,153, 152,149,146,141,138,133,128,124,118,115,111,109,106,107,106,106,108,109,112,114,116,120,123,125, 128,130,131,132,132,132,131,131,131,128,127,122,119,113,106,100, 91, 84, 74, 67, 58, 52, 44, 40, 36, 33, 32, 31, 33, 35, 39, 43, 50, 56, 65, 73, 83, 90,100,107,116,123,132,140,147,154,159,166, 169,173,173,174,172,170,167,163,160,156,153,149,145,143,140,139,137,137,136,138,138,140,143,144, 147,148,151,151,153,153,155,155,156,156,155,154,150,148,144,140,136,132,129,127,123,123,120,121, 119,121,121,124,125,129,133,138,144,149,156,160,166,170,173,176,177,178,177,176,172,170,165,160, 153,148,141,133,127,119,113,106,101, 95, 89, 85, 81, 78, 78, 78, 79, 84, 88, 95,103,109,118,125, 131,137,141,146,149,151,154,155,158,159,160,161,159,160,157,156,152,150,145,144,141,141,140,142, 142,143,146,147,150,152,155,156,159,159,159,159,159,158,159,157,158,157,155,155,152,151,148,144, 141,136,129,125,118,114,108,106,102, 99, 99, 98, 98, 99,101,103,106,111,116,122,128,134,142,147, 153,156,161,163,166,166,167,164,163,160,155,151,145,138,133,125,119,110,104, 97, 90, 85, 79, 74, 68, 64, 60, 57, 56, 54, 55, 54, 57, 58, 62, 64, 69, 71, 76, 78, 79, 82, 83, 85, 84, 86, 85, 87, 85, 87, 86, 86, 87, 87, 89, 92, 92, 96, 98,102,106,109,112,116,119,123,127,130,135,137,141,142, 145,146,146,144,144,142,140,138,132,130,123,120,113,107,102, 97, 93, 88, 85, 85, 83, 84, 85, 88, 90, 95, 98,104,109,115,120,127,132,139,146,152,157,164,169,174,177,181,182,182,180,176,172,165, 159,151,145,138,133,128,123,118,116,113,112,110,110,109,108,107,109,108,111,112,118,121,127,131, 137,141,144,148,149,150,150,149,148,146,143,140,138,135,133,130,130,128,128,126,127,127,129,130, 133,137,141,145,150,156,160,166,171,176,179,183,183,185,184,182,180,177,171,167,160,153,147,140, 134,128,122,118,113,109,106,104,101,102,102,103,105,107,110,112,116,118,123,125,131,134,140,145, 148,153,155,159,159,161,160,158,155,152,148,143,139,134,131,128,124,123,121,119,120,120,122,122, 124,124,126,123,124,121,121,118,118,116,113,113,110,109,106,105,101, 99, 94, 89, 85, 80, 77, 72, 69, 65, 64, 61, 62, 63, 64, 68, 71, 78, 83, 90, 96,104,111,119,126,134,140,147,152,157,161,165, 167,169,169,166,164,160,156,150,143,138,130,124,116,112,104,101, 95, 92, 87, 85, 82, 83, 82, 84, 86, 88, 92, 94, 99,102,107,109,114,116,120,122,124,126,128,129,128,129,127,128,127,126,125,125, 121,121,117,116,112,112,110,111,111,114,115,118,119,122,123,125,125,126,125,126,126,127,126,128, 128,129,128,128,126,125,122,119,117,112,111,108,106,106,105,107,107,111,113,119,122,128,134,138, 145,149,156,160,167,171,179,183,190,195,201,205,207,210,211,209,207,203,199,193,189,183,178,172, 168,162,156,153,148,145,142,141,141,139,141,141,144,144,148,148,151,153,153,156,156,159,159,159, 158,155,154,151,147,145,140,139,136,133,132,130,129,127,127,125,125,123,124,123,125,126,130,132, 136,138,143,145,148,151,152,153,153,152,149,146,141,134,128,120,112,105, 96, 90, 83, 78, 71, 67, 62, 60, 57, 56, 56, 57, 58, 60, 64, 68, 72, 78, 83, 90, 97,103,111,116,125,131,137,143,146,151, 154,154,156,156,155,154,151,149,146,144,140,138,135,133,130,129,126,125,123,123,122,120,121,119, 120,120,121,120,122,122,124,125,125,125,123,122,118,112,108,103, 97, 94, 89, 88, 85, 85, 84, 86, 86, 89, 92, 93, 97, 99,101,105,108,113,116,122,127,130,136,138,142,143,144,143,141,137,133,127, 121,115,107,102, 95, 92, 86, 82, 80, 77, 76, 74, 74, 73, 75, 75, 79, 82, 85, 91, 96,103,109,116, 123,129,136,140,146,150,155,158,161,164,164,167,167,168,166,167,166,166,164,165,164,164,163,163, 165,164,166,167,166,168,168,170,172,172,175,175,178,178,181,180,182,181,181,179,177,174,171,166, 163,157,152,145,140,134,130,127,123,122,120,120,121,121,125,126,130,132,137,138,143,145,150,152, 156,158,162,164,165,167,167,168,167,164,162,158,154,148,141,135,127,119,113,106,100, 93, 88, 82, 79, 75, 73, 71, 70, 68, 69, 68, 70, 71, 74, 75, 78, 80, 84, 86, 90, 91, 92, 95, 96, 98, 98,101, 101,103,103,105,105,107,107,111,113,116,119,122,126,130,133,138,142,147,151,156,159,162,164,166, 166,167,165,164,161,158,154,151,145,143,137,134,128,125,118,114,107,103, 96, 93, 88, 87, 86, 87, 88, 89, 94, 96,102,106,110,115,120,123,128,132,136,141,143,147,148,150,150,150,148,146,142,136, 131,125,116,110,103, 96, 90, 84, 79, 76, 72, 71, 70, 69, 70, 69, 71, 71, 73, 74, 78, 80, 85, 87, 92, 95, 99,101,103,103,105,105,103,103,101,101, 99,100, 97, 99, 98, 99,101,103,108,113,118,123, 130,136,143,149,155,161,167,171,177,180,185,188,191,193,193,192,190,187,185,182,177,175,169,166, 160,156,150,146,142,137,134,130,128,127,126,125,127,127,131,133,137,141,146,150,155,159,164,168, 171,171,173,173,173,171,170,168,164,162,158,156,153,150,148,145,143,141,139,136,136,135,133,133, 133,130,131,129,129,128,126,125,124,123,121,120,117,115,111,109,103,101, 95, 92, 86, 83, 77, 75, 71, 68, 68, 67, 68, 70, 71, 76, 79, 85, 90, 96,103,108,116,120,128,134,142,148,157,163,169,174, 178,179,181,179,178,175,169,165,158,155,148,144,138,135,130,128,124,122,118,117,115,113,112,111, 112,111,114,115,119,122,126,130,133,137,139,141,142,142,142,141,141,139,138,136,135,134,134,133, 133,131,131,131,129,128,128,125,126,124,125,123,124,123,124,123,124,123,124,123,122,121,120,119, 116,114,111,108,105,101, 97, 94, 90, 88, 84, 83, 81, 80, 79, 77, 78, 79, 79, 82, 84, 88, 92, 95, 102,106,113,119,125,132,138,145,150,156,160,162,165,166,166,165,161,159,154,152,146,143,139,136, 133,130,129,128,126,127,126,127,126,128,128,128,130,130,133,134,135,138,139,141,141,143,143,145, 144,145,144,142,140,137,135,131,129,126,125,123,122,120,121,121,121,123,124,127,130,131,136,138, 142,144,148,150,154,155,157,158,157,157,154,153,149,144,138,133,125,119,111,105, 97, 92, 86, 82, 76, 73, 70, 68, 67, 67, 67, 70, 73, 76, 82, 86, 93, 98,104,111,116,121,125,131,134,139,143,147, 149,153,154,156,155,156,155,152,150,147,144,141,139,137,136,135,135,134,134,135,136,137,137,139, 139,140,140,141,140,141,141,139,140,138,138,135,134,131,128,124,121,117,114,110,108,106,106,105, 107,107,110,112,115,118,122,124,129,133,138,143,146,151,154,157,158,160,159,159,157,156,153,149, 144,138,132,127,120,114,108,103, 97, 95, 91, 90, 89, 88, 88, 89, 90, 90, 94, 95,100,102,108,110, 116,118,123,125,130,132,136,137,140,143,143,145,145,146,146,145,145,143,143,141,141,139,138,137, 135,135,134,135,135,136,138,139,143,145,147,150,152,154,155,154,155,154,151,150,145,142,138,134, 129,124,120,115,111,108,103,102, 99, 96, 96, 94, 95, 96, 95, 98, 99,102,105,110,114,118,124,128, 134,137,142,144,148,149,150,150,150,149,145,145,141,139,135,131,127,124,120,116,113,110,108,104, 102, 99, 96, 94, 92, 91, 89, 89, 90, 91, 93, 95, 97,100,102,105,106,109,109,110,109,110,110,109, 110,110,111,113,114,117,119,123,127,129,134,136,141,143,148,149,154,157,162,165,171,173,178,179, 183,183,185,184,182,177,174,169,166,161,154,151,145,139,135,130,123,119,114,109,107,103,102,100, 101,101,104,106,109,113,117,122,126,131,135,141,145,149,152,154,154,156,155,155,154,151,149,147, 144,140,135,132,126,123,119,116,111,109,106,104,103,101,102,102,104,106,108,111,115,118,120,124, 127,130,131,133,132,133,131,131,128,127,124,121,120,118,118,118,117,120,120,124,127,130,135,138, 144,148,152,157,161,165,170,172,177,179,183,185,188,188,190,189,190,187,185,182,177,173,167,162, 156,150,143,138,132,128,124,120,119,115,116,114,115,114,117,117,119,119,122,123,126,127,129,130, 132,132,132,132,131,128,127,124,123,119,117,113,111,107,103,101, 97, 96, 93, 92, 92, 92, 93, 94, 96, 97,100,101,102,104,103,104,102,102,100, 97, 95, 92, 90, 87, 85, 82, 78, 74, 70, 67, 62, 60, 55, 54, 52, 51, 52, 54, 55, 59, 63, 69, 76, 83, 90, 98,105,113,120,126,134,139,146,151,158,162, 167,170,173,173,174,173,171,169,165,163,158,154,151,146,144,140,138,134,132,130,130,128,129,127, 129,129,129,131,131,133,134,137,139,141,142,144,144,145,145,144,143,142,140,139,137,135,134,131, 131,129,129,127,128,128,128,127,129,128,130,130,132,132,134,134,134,134,135,133,134,132,132,131, 128,127,125,122,119,117,112,110,105,104,100, 98, 96, 93, 92, 90, 91, 90, 92, 94, 96,101,105,111, 116,123,129,137,143,150,155,161,166,169,173,174,176,176,177,176,175,173,172,169,168,166,165,162, 161,159,156,155,152,151,149,149,147,148,148,149,150,151,152,154,155,157,157,158,158,158,156,155, 152,150,147,143,139,135,129,126,121,120,116,115,112,112,110,109,110,108,109,108,110,109,111,113, 115,118,121,123,128,130,131,133,132,132,128,125,121,115,110,104, 96, 90, 82, 77, 70, 66, 60, 57, 51, 48, 44, 41, 39, 36, 36, 36, 37, 41, 45, 49, 55, 60, 68, 74, 80, 87, 92, 96,102,105,110,114, 115,119,120,122,122,124,124,126,125,127,128,128,129,129,131,131,133,135,136,139,141,144,146,148, 150,153,154,155,155,155,153,153,151,148,146,142,140,136,132,130,125,124,121,118,117,114,114,114, 114,115,115,118,119,123,126,131,135,140,145,150,155,160,163,167,168,170,171,169,169,166,163,159, 155,150,144,138,134,128,124,119,116,112,111,109,107,105,105,104,105,105,106,106,110,110,115,118, 121,125,128,132,135,139,141,145,147,150,151,152,153,152,153,152,150,150,147,148,146,148,148,148, 151,152,155,157,161,163,167,169,173,175,179,181,184,185,187,187,186,187,186,183,182,179,177,174, 170,167,162,159,153,150,144,140,136,131,129,127,125,126,125,128,129,133,135,139,142,146,148,151, 152,155,155,157,158,159,159,160,160,158,157,154,153,148,145,140,133,129,122,117,112,107,103,100, 97, 95, 92, 91, 88, 87, 85, 84, 83, 82, 81, 81, 81, 81, 80, 80, 80, 80, 80, 79, 77, 78, 76, 76, 74, 74, 73, 72, 73, 73, 75, 75, 78, 79, 83, 86, 89, 93, 96,101,105,110,115,120,124,129,133,137, 139,143,144,147,147,148,145,145,141,139,135,130,125,120,115,110,105,101, 97, 93, 89, 89, 86, 87, 87, 89, 91, 92, 97, 99,105,108,113,116,122,125,130,134,137,141,143,146,146,149,149,148,148,146, 144,142,138,136,131,128,123,121,117,115,113,112,112,111,113,113,116,118,119,122,125,125,128,129, 131,131,131,130,131,129,129,127,127,125,125,123,124,123,124,124,123,125,125,125,127,129,130,132, 135,138,142,147,151,154,160,163,169,172,177,180,183,186,187,188,187,187,183,182,178,173,169,165, 161,158,154,151,148,145,142,139,138,135,134,131,131,131,131,132,133,135,137,138,142,143,147,149, 149,152,150,151,150,148,146,144,142,140,139,137,136,136,133,133,130,130,127,127,126,123,124,123, 125,125,127,127,129,128,130,130,129,129,126,126,123,119,117,112,108,103, 99, 93, 90, 84, 81, 77, 73, 71, 67, 66, 64, 64, 63, 64, 67, 68, 73, 75, 82, 86, 92, 98,103,109,114,118,123,127,131,135, 137,140,140,142,141,142,140,140,138,136,132,131,128,124,122,118,116,113,109,106,104,101,101, 98, 99, 97, 98, 98, 98,100,100,101,103,104,104,107,106,108,107,109,107,108,106,107,105,106,106,105, 107,106,107,106,108,108,109,108,110,110,112,113,114,116,117,119,121,122,122,125,126,128,128,130, 130,129,128,126,124,122,117,115,111,109,106,103,102,100,100,100, 99,101,102,105,107,111,114,120, 125,129,135,138,144,149,152,158,162,166,168,173,174,178,180,182,181,183,181,182,181,180,177,176, 175,171,171,167,167,166,165,165,164,165,166,165,167,166,167,165,165,163,164,164,163,164,163,164, 163,162,161,158,156,152,149,145,142,138,135,131,130,127,127,125,126,126,127,129,131,131,135,136, 139,140,143,144,147,148,151,153,152,154,152,153,150,149,144,142,136,133,126,123,118,112,108,102, 98, 93, 90, 86, 83, 81, 80, 78, 78, 78, 80, 81, 85, 87, 91, 94, 99,103,108,112,116,120,124,127, 129,132,133,135,136,136,137,137,137,137,137,137,137,136,138,136,138,137,139,139,141,142,143,143, 143,144,143,144,142,143,140,139,137,134,132,128,125,121,118,113,110,105,103, 98, 96, 93, 90, 89, 87, 87, 86, 87, 88, 90, 92, 96, 98,102,105,109,111,115,116,119,120,120,121,120,119,120,117,118, 115,115,112,111,108,107,103,101, 97, 95, 91, 89, 86, 84, 81, 81, 80, 81, 81, 84, 85, 88, 91, 95, 99,104,108,112,116,120,122,126,128,131,132,133,134,134,136,136,138,138,141,141,143,144,147,147, 150,151,152,154,155,158,160,163,165,169,173,176,179,182,184,186,186,186,185,183,180,177,175,171, 169,166,163,162,158,156,154,151,149,144,143,140,138,136,135,135,134,135,135,135,138,139,142,142, 145,146,147,149,148,150,150,149,149,148,148,146,145,144,141,140,137,135,131,128,124,121,117,115, 113,109,109,106,104,103,102,101, 99, 99, 97, 97, 95, 95, 94, 93, 93, 92, 92, 91, 91, 92, 90, 92, 92, 94, 94, 95, 96, 98, 98,100,101,104,106,108,113,116,120,123,127,132,135,140,145,148,153,155, 159,162,164,165,166,167,165,165,162,161,158,155,152,148,145,140,136,131,127,122,119,115,112,110, 109,106,107,106,108,108,109,111,113,116,119,122,126,129,132,135,137,137,138,137,137,134,133,130, 126,124,120,117,113,111,107,105,102,101,100, 98, 99, 98, 97, 98, 97, 97, 96, 96, 95, 96, 94, 96, 94, 95, 95, 95, 95, 95, 95, 95, 96, 95, 96, 96, 96, 95, 95, 94, 93, 91, 93, 93, 95, 96,101,103, 108,112,116,121,124,129,132,137,141,145,148,154,157,162,165,169,172,173,175,174,174,172,171,168, 166,162,158,156,152,151,148,147,146,146,145,145,145,146,146,146,146,147,147,149,150,150,152,152, 154,154,155,154,155,155,152,152,150,150,148,146,145,142,142,139,139,137,138,136,138,137,139,138, 140,140,142,141,142,142,142,141,141,140,139,139,135,134,130,127,123,119,115,110,106,102, 98, 94, 90, 86, 83, 81, 78, 77, 77, 77, 77, 80, 82, 86, 88, 93, 97,100,106,109,115,119,124,128,133,138, 142,146,148,151,153,155,155,155,156,155,155,153,152,149,149,146,146,144,142,141,140,138,137,137, 135,135,134,134,133,133,132,132,130,130,130,129,129,128,129,129,129,130,129,130,129,130,130,129, 129,128,127,126,125,123,123,122,121,121,121,122,123,124,126,127,128,130,130,132,131,133,131,132, 129,128,124,122,117,115,111,107,104,100, 99, 96, 93, 92, 89, 88, 86, 85, 84, 84, 84, 85, 86, 88, 93, 95,100,103,109,113,115,120,122,126,127,128,130,131,133,134,136,136,138,139,140,141,142,142, 143,141,142,140,141,138,139,137,138,138,138,139,140,140,142,142,144,144,144,147,145,147,147,146, 146,145,145,144,141,140,137,136,133,132,129,127,126,123,123,121,123,122,123,123,125,126,129,130, 134,135,139,141,144,147,147,151,151,153,152,154,153,153,151,149,146,143,140,135,131,126,120,116, 111,105,103, 98, 96, 92, 92, 89, 89, 88, 90, 90, 91, 94, 95, 98,100,104,105,109,110,114,115,118, 120,121,124,125,128,129,131,132,132,134,134,136,137,138,139,141,141,143,143,145,146,148,150,150, 153,154,156,156,157,157,156,156,153,152,148,147,142,140,136,131,128,123,120,116,115,113,110,110, 110,110,110,112,113,115,117,118,121,122,125,127,128,131,132,134,134,137,137,139,139,142,141,143, 141,142,140,139,136,133,130,126,122,119,116,114,111,110,108,107,107,105,106,104,105,103,103,104, 104,106,107,109,110,112,114,117,118,121,122,125,124,126,126,127,126,126,125,125,126,125,127,127, 129,130,131,134,136,138,140,142,144,147,148,150,152,152,154,154,155,154,154,153,150,150,147,146, 142,141,138,136,132,130,126,124,122,119,116,115,112,111,110,109,108,108,109,107,109,109,111,112, 114,116,118,120,121,124,125,126,127,128,130,130,132,132,131,131,130,129,128,127,126,123,123,119, 119,116,116,113,113,110,108,107,106,105,102,103,101,102,100,101,101,100,100,100,100,100,101,101, 101,100,101,101,101,101,101,102,102,104,106,109,112,114,120,122,128,131,137,140,146,148,153,156, 160,162,165,167,169,170,171,171,172,173,171,169,168,164,162,159,154,150,145,141,137,131,129,124, 123,120,118,118,117,118,118,120,121,124,126,128,129,132,132,135,134,135,136,135,136,135,135,135, 133,134,133,133,132,130,130,127,127,125,125,123,123,121,122,121,122,122,123,123,124,125,124,125, 124,125,122,123,121,121,119,119,116,117,115,115,114,114,114,113,113,112,113,113,114,114,116,117, 120,122,125,129,132,136,140,143,147,149,153,157,158,163,164,167,167,170,171,171,171,170,169,167, 166,162,161,156,155,150,149,145,144,141,139,138,136,136,134,134,134,132,132,130,131,130,130,129, 128,127,125,126,123,123,121,120,117,116,113,113,110,109,107,106,106,105,105,105,106,106,108,109, 111,111,114,114,116,116,118,117,118,116,116,114,113,112,110,108,106,103,101, 97, 95, 91, 89, 85, 83, 80, 79, 75, 75, 73, 73, 72, 72, 73, 75, 75, 79, 80, 85, 88, 91, 96,100,105,110,115,119,125, 128,134,138,141,144,147,148,151,152,154,154,156,156,157,156,157,156,156,155,154,154,154,153,151, 151,148,147,147,144,144,142,140,140,139,140,139,141,142,141,142,141,141,141,139,138,135,134,132, 130,130,128,128,129,127,129,129,130,131,131,132,132,134,134,135,135,137,136,139,139,140,141,143, 142,142,141,140,138,136,133,130,126,123,120,116,114,110,109,107,106,104,104,102,103,103,104,105, 107,109,111,114,116,119,122,125,129,131,135,139,141,143,146,148,150,152,152,154,154,155,156,155, 157,156,157,156,158,157,156,157,157,156,157,157,157,158,158,158,159,160,158,160,158,159,157,158, 156,154,153,152,148,147,143,140,138,134,133,128,127,123,123,119,119,117,116,115,114,115,115,115, 117,119,121,122,125,127,129,132,133,134,135,135,136,134,133,130,128,124,122,117,113,108,104,100, 95, 92, 87, 85, 81, 79, 76, 75, 73, 73, 72, 71, 72, 71, 72, 72, 73, 74, 75, 78, 78, 81, 82, 86, 87, 91, 92, 95, 96, 99, 99,102,103,105,105,107,108,110,113,113,117,117,121,123,127,130,131,136, 137,141,143,145,147,148,147,148,147,145,144,143,141,140,137,136,134,133,131,129,127,125,123,122, 121,119,118,116,115,116,115,117,118,120,123,125,128,130,133,136,138,141,141,144,145,147,148,148, 150,149,150,150,148,148,145,144,142,139,138,134,133,129,128,124,124,121,121,119,119,118,118,118, 119,119,118,121,121,121,123,124,124,126,126,128,128,129,130,129,131,129,131,130,130,131,131,132, 133,134,135,138,140,142,145,147,150,152,155,157,160,162,163,167,167,170,169,171,171,171,170,170, 168,167,164,163,160,157,155,150,148,143,142,139,136,134,132,131,129,129,129,127,128,127,128,129, 128,131,131,131,133,134,136,137,138,138,139,139,141,141,141,141,140,140,138,137,135,134,132,130, 128,126,124,121,120,116,115,113,112,110,109,107,107,106,105,104,103,102, 99, 99, 97, 94, 93, 90, 90, 87, 86, 83, 82, 80, 80, 79, 78, 78, 78, 80, 81, 84, 85, 88, 91, 94, 95,100,103,105,110,113, 118,122,125,131,133,138,139,142,142,145,144,143,142,139,138,134,132,128,125,121,120,116,115,112, 112,110,108,108,108,106,107,106,107,108,108,110,112,113,116,117,120,122,122,125,125,128,127,129, 129,128,130,129,130,128,130,129,130,128,130,128,130,128,129,128,129,130,128,130,129,131,131,131, 132,133,132,134,133,134,133,132,132,130,130,129,126,126,124,122,122,119,120,118,119,118,120,119, 121,121,124,125,128,130,133,136,137,142,144,150,152,156,159,162,165,167,170,170,172,172,173,172, 173,171,171,168,168,165,165,162,159,158,156,153,152,150,149,147,146,145,144,143,143,142,142,142, 142,142,142,142,141,141,139,137,137,136,135,134,133,130,130,129,129,128,128,129,129,130,130,132, 133,135,135,137,136,138,138,139,138,140,138,140,138,139,137,137,134,133,129,127,124,120,117,113, 108,105,102, 98, 96, 92, 91, 88, 87, 85, 85, 85, 84, 86, 86, 89, 90, 94, 95, 99,101,103,106,108, 112,113,117,118,121,122,126,127,129,130,130,132,131,132,131,131,131,128,128,125,125,123,123,121, 121,120,120,119,118,119,118,119,117,118,117,116,116,115,115,113,113,111,111,110,108,107,105,104, 102,102,100,100, 99, 99,100, 99,101,101,104,105,106,110,111,115,116,120,121,125,125,128,129,131, 131,133,132,133,132,132,130,130,127,126,124,121,120,117,117,114,114,112,111,110,109,109,108,109, 110,111,113,114,117,118,122,124,127,130,132,136,138,142,144,147,148,150,151,153,154,154,155,155, 156,155,157,156,158,158,158,160,160,161,161,163,163,165,164,166,165,167,165,167,167,167,166,166, 164,164,162,160,159,156,153,151,147,145,141,139,135,133,130,128,125,124,122,122,121,120,122,123, 123,126,127,131,132,136,137,141,141,144,144,147,147,148,148,148,146,145,143,141,138,137,133,131, 127,125,122,119,115,113,110,107,104,103,101, 99, 98, 97, 97, 97, 98, 99,101,103,103,105,108,108, 111,110,112,111,113,111,113,112,114,113,115,115,118,119,121,124,126,127,130,131,133,134,136,137, 139,140,141,142,144,144,145,145,146,145,145,144,141,140,137,135,132,129,126,123,119,116,114,110, 109,105,104,102,100, 99, 97, 97, 97, 96, 97, 98, 99,100,102,103,106,107,110,112,112,115,115,117, 117,118,118,118,117,116,115,113,113,110,110,107,107,105,104,103,102,101,100, 99, 99, 99, 99,100, 101,102,104,104,106,107,109,110,111,112,113,113,113,114,114,116,116,116,118,117,119,119,121,121, 124,125,128,129,132,134,136,139,140,144,146,151,152,157,158,163,164,167,170,171,173,174,173,175, 175,174,173,171,169,167,165,162,160,157,155,151,150,148,146,144,142,140,139,137,137,137,136,136, 136,136,137,138,139,140,141,144,144,146,146,148,149,149,149,148,149,147,147,145,144,144,142,140, 140,137,137,135,135,133,132,130,130,129,128,127,124,125,123,121,120,119,116,116,115,113,113,111, 112,111,111,108,109,106,107,104,104,101,102,100,101,100,103,103,106,107,110,113,116,120,122,128, 129,135,136,141,144,146,149,151,152,154,155,154,155,153,154,151,151,148,145,142,139,137,134,132, 130,128,127,125,124,124,122,122,121,122,121,121,122,122,123,124,125,125,126,126,125,126,127,126, 126,124,125,123,124,121,121,118,118,115,116,114,112,112,111,110,110,110,107,109,107,108,107,109, 108,110,110,109,110,110,110,109,109,107,107,105,103,102,100, 98, 97, 94, 94, 92, 91, 91, 90, 91, 90, 92, 92, 95, 95, 99, 99,103,105,109,112,116,120,124,126,131,133,137,139,142,143,145,146,147, 147,148,149,148,147,147,147,145,146,144,144,144,143,144,143,144,143,143,143,143,142,143,143,143, 143,144,143,144,142,143,142,142,142,140,141,139,140,138,139,138,137,137,137,137,137,137,136,137, 137,138,137,139,139,139,140,142,141,144,143,146,147,147,148,147,147,144,143,141,137,135,132,128, 126,122,121,117,116,113,113,111,109,108,106,106,104,104,102,102,101,103,102,105,106,108,111,113, 116,119,122,125,126,129,131,133,135,135,138,138,140,140,142,142,144,143,144,142,144,143,141,141, 140,138,138,136,136,135,135,134,134,134,134,134,135,134,135,135,133,134,132,132,130,130,129,128, 127,127,126,125,125,123,124,122,123,122,123,123,122,124,123,125,126,126,128,128,130,130,131,132, 132,132,131,131,130,129,127,127,126,125,124,121,122,119,119,115,115,113,111,109,107,105,105,102, 102,102,101,102,101,101,103,103,105,106,107,110,110,113,114,114,117,117,119,119,121,120,122,123, 123,125,126,125,127,128,128,129,128,130,129,130,130,132,131,134,135,136,137,139,139,141,140,142, 142,141,142,140,140,139,136,136,133,132,130,127,127,124,124,122,120,121,120,121,120,122,123,124, 124,126,127,129,130,132,133,135,135,136,138,139,140,141,142,142,144,143,144,144,142,142,140,137, 137,133,132,129,128,124,124,122,120,119,118,117,116,115,116,115,116,115,116,115,115,114,115,114, 115,115,116,115,117,116,118,117,119,118,120,121,122,123,125,126,128,128,131,131,134,135,137,138, 140,141,143,144,146,147,147,148,148,147,147,146,146,144,144,142,140,139,136,135,133,132,129,129, 128,125,125,123,123,122,122,120,121,121,120,121,120,122,122,125,124,127,126,129,129,132,132,134, 135,134,136,135,136,135,136,133,134,132,132,130,130,129,128,128,126,126,125,125,123,124,122,123, 121,123,122,123,122,123,123,123,123,123,123,123,123,123,124,124,124,124,124,124,124,125,125,125, 126,125,127,126,128,128,130,130,130,132,131,134,134,135,136,137,138,139,140,140,142,142,143,143, 144,143,144,143,144,142,141,140,139,137,136,134,132,131,129,126,123,122,119,118,115,115,114,114, 112,114,112,114,115,115,116,116,117,116,117,117,117,118,117,118,117,118,118,119,120,120,121,121, 122,121,123,122,122,121,120,120,118,119,117,118,116,118,116,117,116,117,115,116,114,115,113,114, 112,112,110,111,109,110,109,109,109,109,110,109,109,110,111,112,112,114,116,116,119,120,123,125, 128,131,134,137,138,141,142,145,145,148,148,150,150,151,150,151,150,149,149,147,147,145,144,142, 141,140,138,138,136,136,135,133,133,132,132,132,132,132,132,131,132,132,131,132,130,131,130,131, 130,131,130,131,130,130,130,129,130,128,130,128,129,127,128,128,127,128,127,128,126,128,126,128, 128,128,128,128,127,128,128,128,128,128,126,127,125,126,125,125,124,123,123,123,122,122,121,122, 122,121,122,122,123,123,125,125,128,129,131,133,134,137,137,140,140,142,142,144,144,145,145,146, 146,146,147,147,147,147,148,148,147,147,149,147,149,147,148,147,147,145,145,143,142,140,139,137, 135,133,132,131,130,129,127,127,125,125,123,123,121,121,119,118,118,116,116,114,113,113,112,113, 113,113,114,114,115,115,116,116,117,117,117,116,116,116,116,116,116,115,115,113,114,113,112,110, 110,107,106,105,103,102,100, 99, 97, 96, 95, 94, 94, 92, 93, 92, 93, 92, 94, 95, 95, 97, 98,101, 102,104,105,108,109,112,113,116,118,119,122,123,125,127,129,130,132,133,134,136,137,137,139,138, 139,138,138,138,137,138,136,138,136,138,136,138,136,138,136,137,137,135,136,134,135,133,134,132, 133,131,132,132,131,131,131,131,131,130,131,130,131,131,132,132,133,133,134,134,135,135,136,136, 135,137,135,137,135,136,136,135,135,133,134,132,132,131,129,129,128,127,126,126,124,124,123,124, 122,123,122,124,123,124,123,125,124,126,126,128,128,130,129,132,133,134,135,135,138,138,140,141, 141,143,143,145,145,146,146,147,148,147,148,147,149,150,150,152,152,155,155,157,157,159,158,159, 157,157,156,153,153,150,149,146,146,143,143,141,141,139,140,137,138,136,136,134,132,131,129,129, 127,128,128,127,128,128,129,129,130,130,129,130,129,130,129,129,127,128,127,125,125,123,123,121, 120,119,118,116,114,113,111,110,109,106,106,104,102,102,101, 99, 98, 98, 96, 96, 95, 94, 93, 93, 91, 93, 91, 93, 93, 93, 95, 94, 96, 96, 98, 99, 99,101,102,104,105,106,108,109,111,112,115,116, 119,120,123,124,125,128,128,129,129,130,130,130,130,129,130,130,129,129,127,128,127,125,125,123, 124,124,122,123,122,121,122,121,123,122,123,124,124,125,126,126,128,128,130,131,132,132,133,133, 134,135,134,135,135,135,135,135,134,135,134,134,135,133,134,133,132,132,131,131,130,131,130,131, 130,130,131,130,131,130,131,130,131,130,130,129,130,129,130,128,130,128,129,128,129,128,129,128, 129,129,129,130,130,132,131,134,134,136,136,138,138,141,140,143,144,144,146,148,148,150,152,152, 155,154,157,156,157,155,156,154,154,151,151,148,148,145,144,143,141,141,139,139,138,137,137,136, 136,135,135,135,133,134,133,135,134,135,135,137,136,138,138,137,138,138,137,137,136,136,134,134, 133,133,132,130,130,128,128,126,126,125,124,123,123,122,122,120,121,119,119,117,117,116,115,114, 113,111,110,108,106,104,102,101, 99, 98, 96, 95, 95, 93, 94, 92, 93, 93, 93, 94, 94, 96, 96, 98, 99,101,103,104,107,109,109,112,113,115,116,117,118,119,120,120,119,120,119,120,120,119,118,117, 115,115,113,114,111,112,111,112,110,111,110,112,111,113,113,113,115,115,117,117,119,119,121,121, 123,122,125,124,126,125,125,125,124,125,124,125,124,125,126,125,126,126,127,127,128,128,129,129, 130,130,132,132,133,134,133,135,135,136,136,134,136,135,135,135,135,133,134,133,132,132,131,130, 131,130,130,131,130,131,131,133,133,135,135,138,139,140,142,142,144,144,146,146,148,147,149,149, 151,150,153,153,153,154,155,154,155,155,155,153,153,151,151,149,149,148,148,148,146,148,147,146, 147,146,147,146,146,145,146,143,144,143,142,141,141,139,139,137,138,136,137,135,136,134,135,133, 133,132,133,132,133,132,133,133,134,133,134,134,135,136,135,136,136,137,136,137,136,135,136,133, 134,131,131,129,128,124,124,120,119,116,115,112,111,109,109,107,107,107,107,107,106,107,106,108, 107,110,110,111,113,113,116,116,119,118,121,120,122,122,122,123,122,122,122,121,121,119,119,118, 118,118,116,117,115,117,115,115,115,114,115,114,115,114,113,114,113,113,112,111,112,110,111,110, 111,109,111,109,110,109,110,108,109,107,108,106,107,106,106,107,107,108,107,109,109,111,111,113, 114,115,115,117,119,120,120,122,122,123,124,123,123,123,123,123,121,121,120,120,118,119,117,118, 118,117,118,117,118,117,118,119,120,120,122,123,126,127,130,131,134,134,138,138,139,140,141,142, 142,142,143,141,143,142,143,143,144,144,145,146,146,148,147,149,149,151,150,151,151,153,152,154, 154,154,156,156,156,157,157,156,157,156,154,154,153,151,150,148,145,144,142,141,138,138,135,135, 133,134,132,133,131,133,132,134,133,136,135,138,138,139,140,141,142,141,143,142,143,142,143,141, 142,139,140,138,138,136,135,133,131,130,127,126,123,123,121,119,119,117,117,116,116,116,116,117, 116,117,117,118,118,120,121,120,123,121,124,123,123,124,124,123,124,124,123,124,123,124,124,125, 124,125,124,126,126,126,127,127,128,130,130,131,131,132,133,132,134,134,134,133,133,132,132,128, 128,126,124,123,120,119,116,116,113,113,111,111,108,109,107,108,106,108,106,108,107,108,109,108, 110,109,111,111,113,113,113,114,114,114,114,114,113,113,112,112,110,110,109,109,108,107,105,105, 103,105,103,104,104,105,105,106,106,107,108,109,110,111,113,114,116,117,120,120,122,121,124,124, 123,124,123,123,122,122,121,120,120,120,120,120,121,123,122,126,127,129,130,133,134,137,139,141, 143,143,147,147,150,149,152,152,153,153,153,152,153,151,151,148,148,147,145,143,142,139,138,137, 135,135,134,133,133,132,133,132,132,134,134,136,137,137,140,140,141,142,143,143,144,142,143,141, 142,140,140,138,138,137,135,135,132,133,131,130,129,128,128,127,127,126,127,126,127,126,127,126, 128,127,128,127,127,126,125,125,125,122,123,120,120,118,119,118,116,117,115,116,115,116,116,117, 117,119,118,121,121,124,125,128,129,132,134,135,138,139,140,142,143,144,145,145,145,144,144,141, 141,139,138,136,135,134,130,130,127,128,125,126,124,124,124,123,124,124,125,126,127,128,129,130, 132,130,133,132,132,132,133,130,131,128,128,127,125,124,122,122,120,119,117,117,114,115,112,113, 111,112,111,113,112,113,114,114,116,115,117,116,118,116,118,116,117,114,115,113,113,113,111,112, 110,111,110,110,110,108,109,107,107,106,106,106,106,106,107,107,109,111,112,115,117,119,122,124, 126,128,131,131,134,133,136,136,136,136,136,137,136,135,136,135,135,134,134,133,133,134,133,133, 132,133,132,134,133,135,135,135,137,136,139,138,140,139,141,140,140,140,140,140,140,140,139,139, 138,137,136,135,134,133,133,132,132,132,133,134,132,135,135,135,137,138,138,139,140,140,142,142, 143,141,143,141,142,139,140,137,137,136,133,132,129,128,125,124,121,121,118,118,115,117,114,116, 116,116,117,118,120,122,123,126,128,129,132,132,135,135,136,137,137,138,137,138,138,138,137,137, 135,136,134,134,133,133,131,132,131,131,130,131,130,130,131,130,132,131,132,134,135,134,136,135, 137,137,138,136,137,136,135,135,133,133,132,130,129,128,126,124,124,124,121,123,121,123,121,123, 122,124,124,124,126,127,127,129,130,131,132,132,134,133,134,132,133,130,130,127,126,124,122,119, 117,115,113,112,111,110,110,110,110,110,111,111,112,112,113,113,115,114,117,117,117,118,118,119, 119,120,120,121,120,121,120,120,119,120,118,119,117,118,116,118,116,118,117,119,119,119,120,121, 122,124,124,126,127,128,129,130,132,131,133,132,131,131,130,129,127,127,125,124,122,122,119,120, 118,117,117,116,116,116,117,118,117,120,120,122,123,125,126,129,130,133,134,136,137,138,140,138, 140,139,139,138,137,137,135,135,132,132,129,129,126,126,122,123,120,121,119,120,119,118,119,119, 120,120,122,121,123,123,125,125,127,126,128,128,128,129,129,130,129,130,130,129,129,129,128,129, 127,129,127,129,127,129,128,129,129,130,131,131,133,134,136,137,138,139,140,140,141,140,140,140, 139,138,137,137,135,135,133,133,131,131,129,130,127,128,127,126,126,125,126,127,125,128,128,129, 130,130,132,133,133,134,136,135,137,135,137,137,137,136,137,136,137,135,135,135,133,133,131,131, 128,128,125,126,124,124,122,124,122,124,123,125,125,127,128,130,131,132,132,133,134,134,134,134, 133,133,133,131,131,129,129,128,125,126,124,123,123,122,122,122,122,122,123,124,124,126,126,128, 129,130,132,131,134,133,135,134,136,135,135,135,134,133,131,131,129,126,125,124,120,120,118,117, 114,115,112,113,112,111,112,112,111,113,113,115,115,117,117,119,119,121,121,123,124,123,125,124, 126,125,124,125,124,122,122,120,120,119,118,117,116,116,115,116,114,115,114,116,115,117,116,118, 118,119,120,119,121,119,121,120,121,119,121,119,120,120,118,119,117,118,117,117,116,117,116,117, 117,117,119,119,121,123,123,125,126,129,131,131,134,134,136,136,139,139,140,141,142,140,142,140, 141,139,139,138,136,136,134,134,132,132,131,131,128,129,127,128,127,128,128,128,129,129,131,132, 133,133,135,134,137,136,137,137,136,136,135,135,133,133,132,132,131,130,129,130,129,129,129,130, 129,130,130,130,131,130,131,132,132,133,133,133,135,133,135,134,135,135,135,135,135,135,134,134, 133,133,131,132,131,129,129,128,128,128,127,128,127,128,128,128,130,131,131,133,134,136,137,138, 139,140,141,142,142,143,144,144,143,144,143,144,142,143,141,142,139,140,138,138,137,135,135,133, 133,132,132,131,131,130,131,130,131,130,131,129,131,129,130,127,128,126,127,124,124,123,121,121, 119,119,117,118,116,116,115,116,115,114,115,114,115,115,116,115,117,116,117,117,118,118,118,117, 118,117,118,116,117,115,116,114,114,111,111,109,108,106,106,104,103,102,102,101,101,100,101,102, 102,102,104,105,107,108,111,112,114,116,117,118,121,120,123,122,124,124,126,125,127,126,126,128, 126,128,126,126,126,126,127,126,127,126,127,127,128,130,130,132,132,134,134,135,136,137,137,137, 138,137,138,137,138,138,137,137,136,136,135,135,134,134,132,132,130,131,130,129,129,129,128,129, 129,130,130,132,132,134,135,135,137,136,138,137,139,138,139,137,138,136,136,135,134,132,132,130, 130,129,128,127,127,126,126,126,127,127,126,128,127,129,129,130,130,132,132,132,134,133,135,134, 135,134,136,135,136,135,135,134,135,134,133,134,132,134,132,134,133,135,135,136,135,136,138,138, 140,139,141,141,142,141,143,142,142,142,142,142,141,141,140,139,139,138,136,136,135,134,132,132, 130,130,128,129,126,127,126,127,125,127,126,127,128,128,128,129,129,130,130,130,130,130,129,129, 128,128,126,126,125,123,122,120,119,117,116,114,113,112,109,110,107,108,106,106,105,105,105,105, 104,105,104,105,105,104,106,105,106,105,107,105,107,105,107,107,106,105,106,106,105,106,105,107, 106,108,108,108,109,110,111,113,114,115,116,117,119,120,121,121,124,124,126,125,128,127,129,128, 129,129,129,127,128,126,126,126,125,125,125,124,125,124,125,125,125,125,126,126,127,128,128,130, 130,131,132,132,134,135,136,137,137,138,139,139,138,139,138,139,138,137,138,136,137,136,136,135, 135,135,133,134,132,134,133,134,134,134,134,135,135,136,136,137,137,138,138,139,139,140,140,139, 140,139,138,139,138,138,138,136,137,136,135,135,134,135,133,135,134,134,135,135,137,137,139,139, 140,142,142,144,144,145,145,146,146,147,146,147,147,145,146,145,143,143,141,141,140,138,138,136, 136,134,134,133,133,133,133,133,133,134,133,134,133,134,134,135,135,134,136,135,135,135,134,135, 134,134,133,133,132,133,132,131,131,129,129,128,128,127,127,126,126,125,126,125,124,125,124,124, 124,122,123,121,122,120,121,119,119,118,117,115,115,113,113,111,111,109,109,107,107,106,105,105, 104,105,104,106,105,107,107,109,110,110,113,112,114,115,115,116,115,116,116,115,116,115,116,115, 114,115,113,114,112,113,112,111,111,110,110,109,110,109,110,111,111,111,113,113,115,116,116,117, 117,118,119,120,119,120,121,120,120,119,120,119,120,119,119,120,120,119,120,119,120,119,120,120, 121,121,122,122,124,125,125,127,127,129,129,130,131,132,132,133,134,133,135,133,134,134,133,133, 131,132,130,130,128,129,127,128,128,129,128,130,129,131,131,131,133,134,134,136,136,138,139,139, 141,140,142,142,143,143,144,144,143,144,144,143,144,144,142,143,141,142,140,141,139,140,138,139, 139,138,139,139,139,140,140,141,141,141,142,141,142,141,142,141,142,140,141,139,139,138,138,136, 136,134,134,133,131,131,129,130,128,130,128,130,129,131,132,131,133,133,134,135,136,137,138,136, 138,137,138,136,137,136,134,134,132,132,130,128,126,125,123,122,120,119,117,117,115,116,114,115, 114,114,115,115,114,116,116,117,117,119,120,119,122,121,123,123,124,125,125,124,125,123,124,122, 122,121,120,120,118,118,117,116,116,115,115,114,115,114,115,115,114,115,115,116,116,117,117,118, 118,119,119,119,120,119,120,118,119,118,117,117,115,116,113,114,113,112,113,112,113,113,113,114, 114,116,117,118,118,119,120,121,121,122,122,123,123,124,125,124,125,124,125,124,125,123,124,124, 122,123,121,122,121,121,121,120,121,122,122,121,123,123,125,124,127,127,128,129,131,131,133,132, 135,134,136,135,136,136,135,135,134,135,134,133,133,133,133,133,134,134,135,136,136,138,137,139, 139,141,141,142,143,143,144,143,145,144,145,143,144,143,143,142,142,140,140,140,138,137,137,136, 134,134,132,133,132,132,130,132,130,132,131,132,133,133,135,134,137,136,138,137,140,138,140,139, 140,139,140,138,139,137,137,135,135,134,132,131,130,128,128,126,126,125,123,124,123,124,123,124, 123,124,124,124,124,125,125,125,126,125,126,125,126,124,125,125,124,124,122,123,122,121,121,121, 121,121,121,122,122,121,123,122,124,124,126,125,127,127,129,128,130,130,130,131,131,129,130,129, 129,128,128,126,126,126,124,124,122,122,120,121,120,118,118,117,117,117,116,117,116,117,117,117, 119,118,120,121,121,122,124,123,125,125,124,125,124,124,123,123,121,122,120,120,119,118,117,117, 115,116,114,116,115,116,115,116,115,117,118,117,119,118,120,119,121,120,122,122,122,123,122,123, 124,122,123,123,122,123,121,122,121,121,120,121,119,121,119,121,122,122,123,123,126,126,128,128, 131,131,134,134,137,136,139,139,140,141,142,142,142,142,141,141,140,140,138,138,136,136,135,135, 134,134,132,134,132,134,134,134,135,135,136,136,138,137,139,139,139,140,140,141,141,140,141,140, 140,139,139,138,137,137,135,136,134,135,133,134,132,133,132,131,132,131,132,131,132,131,132,131, 133,132,133,132,133,132,133,131,132,130,131,129,129,127,127,125,125,124,122,122,120,121,118,119, 117,119,117,119,119,119,119,120,120,122,124,123,126,126,127,128,129,129,131,130,131,131,132,131, 131,130,128,128,126,127,124,125,123,122,122,123,121,123,122,123,123,124,124,125,125,126,127,127, 127,127,128,126,128,126,128,126,127,127,127,127,125,126,124,125,123,124,123,122,122,122,121,120, 121,120,121,120,121,120,122,121,123,122,123,122,124,123,124,123,124,122,123,121,122,121,120,119, 116,117,115,115,114,113,113,112,112,112,111,112,112,113,114,113,115,114,116,117,117,119,120,120, 122,123,123,125,126,125,127,127,126,127,126,127,125,127,125,126,124,125,123,125,124,124,124,125, 124,126,125,127,127,129,129,130,132,131,133,133,133,134,134,135,135,136,136,135,136,134,135,134, 133,134,132,133,130,131,130,130,129,129,130,129,131,131,132,133,134,136,136,138,139,140,142,141, 143,142,144,142,143,141,142,140,140,138,137,136,133,133,130,130,127,127,125,125,124,123,124,123, 122,124,123,124,125,124,126,127,127,128,128,129,131,131,132,132,132,132,133,133,133,131,132,131, 131,130,130,129,129,128,127,128,126,127,126,127,127,128,128,129,130,131,131,132,133,134,134,135, 137,136,137,136,137,136,136,136,135,134,132,132,130,129,128,127,127,126,126,126,126,126,127,127, 128,128,129,130,130,132,133,132,135,134,136,135,136,135,136,136,136,134,134,132,132,130,128,128, 126,125,124,122,121,120,120,118,119,118,119,118,119,119,120,121,122,121,123,122,124,122,124,123, 124,123,124,123,123,122,122,121,120,119,118,117,116,114,114,113,113,113,113,113,114,113,115,115, 115,117,117,118,118,119,121,121,124,123,124,125,125,126,126,126,126,125,124,123,122,121,119,119, 117,116,116,115,115,116,115,116,116,117,118,119,120,120,122,122,125,125,126,128,128,129,131,130, 133,133,132,133,132,132,133,131,132,130,130,129,129,128,127,126,126,126,124,126,124,126,125,126, 126,127,129,128,130,130,132,132,133,133,133,134,135,133,134,133,133,131,130,129,128,127,127,126, 125,125,125,125,126,125,127,128,127,129,129,130,131,131,133,134,134,135,135,136,136,137,137,138, 138,137,138,136,137,136,134,135,132,133,130,131,128,129,127,128,126,127,126,128,127,129,129,130, 131,132,133,135,136,137,138,139,140,139,141,139,141,140,140,138,138,136,136,135,132,133,131,131, 129,129,126,127,125,126,126,125,126,126,127,127,129,130,131,132,133,134,135,135,136,136,136,137, 137,135,135,133,132,130,129,128,127,125,124,123,122,122,120,121,120,121,120,122,123,122,125,126, 127,128,130,130,131,132,132,133,134,133,134,133,133,131,131,129,129,126,125,123,122,120,118,117, 115,114,113,113,112,111,112,111,113,112,115,115,116,117,119,119,121,121,122,122,123,123,123,123, 122,122,121,121,119,119,117,116,115,114,114,113,113,112,113,112,113,113,115,116,116,118,118,120, 122,121,124,124,125,125,125,126,126,127,126,126,125,125,124,124,122,121,120,119,118,117,117,117, 114,116,114,116,116,116,118,118,121,122,124,125,128,128,132,133,134,136,137,138,139,138,139,138, 138,137,137,135,135,134,133,133,130,132,129,131,129,130,129,130,130,131,132,132,132,134,135,136, 137,137,140,139,141,140,142,141,142,141,142,141,140,140,138,138,137,135,134,134,131,133,131,131, 131,130,132,132,132,133,134,134,136,136,137,137,138,138,139,139,140,139,140,139,140,139,138,138, 136,135,135,133,132,131,130,128,128,126,126,125,125,124,124,124,124,125,124,126,127,126,129,128, 131,131,133,132,135,134,136,134,136,135,133,134,132,132,129,130,129,128,127,126,125,126,124,125, 124,125,124,125,126,125,126,126,128,127,128,128,128,129,129,129,129,129,128,129,127,128,126,125, 125,124,123,121,120,118,116,115,114,114,111,112,112,112,112,113,115,115,117,117,119,121,121,123, 123,124,124,124,124,124,122,121,120,118,117,114,113,111,109,107,106,104,103,102,101,100,100, 99, 100, 99,101,101,104,105,108,109,113,113,117,118,120,122,124,126,128,128,130,129,131,131,130,131, 131,130,129,129,126,126,125,123,123,123,121,121,119,119,118,118,118,119,120,123,125,129,133,134, 139,140,144,145,146,148,148,149,150,151,151,151,151,152,153,153,155,156,158,158,160,160,159,161, 161,161,162,162,162,161,162,161,160,159,157,155,153,151,150,150,148,148,145,143,139,135,133,131, 128,130,128,131,130,132,131,130,130,129,129,128,129,128,130,128,129,125,125,121,121,117,117,114, 113,111,109,106,105,102,101, 99, 99, 98, 97, 96, 96, 96, 97, 98, 99,101,103,106,110,114,116,121, 123,125,128,128,130,129,131,129,129,127,127,125,125,122,122,120,120,117,116,114,112,110,108,108, 105,105,104,103,103,101,101,101,101,100,102,103,105,106,109,109,112,112,115,114,117,116,119,118, 119,118,120,119,120,120,122,122,123,122,122,121,121,121,121,120,121,120,121,121,122,122,123,124, 125,125,124,123,122,121,119,117,115,113,111,109,107,106,104,105,105,108,109,114,117,123,126,133, 139,143,148,151,154,155,157,158,157,158,156,157,156,157,156,156,156,155,155,153,152,148,145,142, 138,136,133,132,129,128,126,123,122,121,118,119,117,119,118,120,121,120,122,120,122,120,121,119, 119,116,116,113,113,113,113,114,115,117,119,122,125,127,131,134,138,142,144,151,155,162,168,174, 180,185,190,194,197,199,201,202,202,199,198,192,188,182,178,171,169,165,164,162,161,159,159,156, 156,154,154,155,154,156,155,157,157,158,158,159,159,159,160,160,161,161,161,160,158,158,157,154, 154,152,149,147,144,141,136,131,126,120,117,112,107,103, 99, 94, 91, 86, 83, 81, 77, 77, 75, 74, 75, 75, 77, 78, 81, 83, 86, 88, 90, 92, 93, 94, 94, 92, 93, 92, 91, 90, 89, 89, 89, 87, 88, 87, 89, 89, 92, 93, 96, 97, 99,100,100,100,101,101,102,102,100,100, 98, 98, 97, 97, 96, 95, 95, 95, 95, 96, 97, 98,100,102,105,105,109,110,111,113,114,115,114,115,112,113,111,110,109,109,109,110, 108,110,110,110,113,113,116,117,119,119,122,121,123,123,122,123,121,120,118,116,114,113,112,113, 113,113,116,117,121,124,129,134,140,145,151,156,158,162,162,165,165,168,168,169,170,168,169,167, 168,166,167,165,166,164,165,163,164,162,163,161,161,159,159,157,157,157,156,155,155,153,153,150, 150,149,146,146,144,142,139,137,133,131,129,125,125,123,122,121,119,118,116,115,114,114,115,114, 115,115,114,114,113,113,113,115,117,120,123,128,130,135,137,140,140,141,140,141,142,141,141,141, 141,141,142,142,143,144,146,149,151,155,157,162,165,170,172,178,180,186,188,191,191,192,191,190, 188,186,182,180,177,173,172,169,165,163,161,157,156,152,150,147,144,139,137,132,129,126,121,119, 114,112,107,103,101, 97, 96, 93, 92, 90, 90, 88, 88, 88, 87, 88, 88, 90, 91, 91, 93, 92, 94, 93, 94, 92, 92, 90, 90, 89, 87, 87, 86, 87, 87, 87, 88, 87, 89, 89, 91, 90, 91, 91, 88, 88, 84, 83, 80, 78, 75, 73, 71, 67, 66, 64, 64, 63, 65, 66, 68, 72, 74, 79, 83, 89, 93, 99,102,107,111,114, 117,119,122,124,125,125,127,127,125,125,124,122,123,121,123,122,123,122,123,122,123,123,124,124, 122,122,119,117,113,111,106,104,100, 97, 95, 93, 93, 94, 96, 98,101,104,109,113,119,125,129,135, 139,144,148,151,153,156,158,160,162,165,167,170,172,175,177,177,180,181,182,183,182,182,180,177, 176,173,171,169,167,165,164,162,158,156,152,150,148,143,142,140,138,137,135,132,129,126,123,121, 119,119,120,120,122,123,122,123,121,119,118,117,116,115,115,114,115,116,116,119,121,125,128,132, 134,138,140,140,143,143,144,144,142,142,141,140,139,138,136,136,134,135,134,135,135,138,139,142, 142,145,145,147,147,146,146,145,143,143,141,141,140,141,141,142,144,145,147,149,151,155,159,163, 167,170,174,177,178,181,180,181,179,177,175,173,168,164,159,153,148,142,136,132,127,123,119,116, 113,111,109,106,106,103,102, 99, 99, 96, 96, 93, 92, 91, 89, 88, 86, 85, 86, 85, 87, 87, 89, 89, 91, 92, 94, 96, 96, 97, 97, 98, 98, 99, 97, 97, 96, 93, 93, 91, 90, 88, 88, 86, 88, 87, 89, 88, 91, 92, 96, 97,100,102,105,108,109,112,112,113,111,112,109,108,105,102, 99, 95, 92, 88, 87, 85, 86, 85, 88, 90, 93, 98,102,106,109,113,116,119,121,123,124,126,126,126,126,126,126,127,128,131, 131,135,136,138,141,142,145,145,148,148,150,149,151,149,149,146,147,144,146,146,147,150,152,156, 159,160,162,163,165,167,167,170,172,173,175,174,174,173,173,172,172,171,172,171,170,171,170,168, 168,165,166,163,163,162,161,161,162,161,163,163,164,165,163,164,163,160,158,154,149,145,138,134, 128,124,119,116,112,108,107,103,103,102,101,101,101,102,102,103,104,104,106,106,109,109,111,111, 113,115,118,121,124,130,133,139,142,147,149,153,154,158,158,160,159,159,158,157,154,153,149,147, 144,142,139,138,137,135,136,136,138,138,141,143,146,148,152,154,154,157,155,157,155,153,151,149, 144,142,136,133,128,124,120,118,114,113,111,109,110,110,112,112,115,115,118,117,120,120,120,121, 121,120,120,118,118,116,115,113,111,109,108,105,104,101, 99, 97, 93, 91, 87, 84, 81, 77, 74, 70, 67, 63, 61, 59, 56, 56, 55, 57, 57, 60, 64, 67, 72, 77, 80, 86, 90, 97,102,109,113,118,120,123, 124,124,121,121,117,115,111,109,106,104,102,101,100,101,103,103,107,108,111,113,114,114,114,113, 112,110,109,108,107,106,103,101, 99, 98, 98, 98,101,103,107,108,112,113,116,116,119,120,122,126, 129,133,136,141,145,149,154,158,162,169,174,179,184,188,190,194,195,197,196,196,195,194,191,188, 184,181,176,173,168,165,160,156,151,147,143,137,135,130,128,124,124,122,123,123,125,126,128,130, 132,135,135,138,138,138,138,137,137,135,135,133,133,131,131,130,129,128,130,130,133,135,136,140, 141,143,144,145,144,145,143,143,141,139,138,137,134,134,131,132,130,130,129,130,129,128,125,125, 123,120,119,116,116,112,111,109,107,107,106,107,107,107,107,110,112,116,119,125,130,134,141,146, 152,157,163,167,170,173,173,174,171,170,165,162,156,150,143,138,131,126,120,115,111,108,105,104, 102,102,102,100,101,101, 99,101, 99,100, 99, 97, 97, 96, 97, 97, 98, 97, 98, 98, 97, 98, 98,100, 101,101,104,103,105,105,105,107,107,109,110,110,112,113,113,115,115,116,116,117,118,118,119,120, 122,122,124,124,125,124,124,123,123,120,118,113,109,101, 96, 88, 84, 78, 76, 72, 72, 70, 71, 70, 73, 75, 80, 83, 90, 94,101,105,109,114,115,118,117,119,118,120,120,122,121,123,123,123,125,124, 126,126,129,130,131,132,133,133,134,134,135,135,136,138,138,141,141,145,146,150,152,155,156,159, 159,161,159,160,157,157,155,153,153,151,151,150,151,150,152,151,153,152,154,154,156,157,158,160, 162,166,170,173,178,182,185,190,192,196,197,198,199,197,197,194,191,185,179,171,164,155,149,141, 133,127,122,116,114,110,109,108,107,108,108,109,110,111,111,113,112,113,114,115,116,119,120,123, 126,128,131,133,137,140,141,144,145,147,149,148,151,150,152,150,151,149,151,149,150,149,147,147, 144,144,144,142,143,143,143,145,145,148,150,152,152,153,152,152,149,146,143,138,134,128,124,118, 114,107,104, 99, 98, 96, 97, 96, 99, 99,104,106,111,115,118,124,127,133,136,141,142,146,145,147, 147,146,146,143,143,140,136,133,128,124,119,113,110,105,101, 96, 93, 88, 86, 82, 77, 75, 72, 71, 68, 67, 65, 64, 62, 62, 61, 61, 62, 64, 68, 72, 77, 80, 85, 88, 92, 95, 98,100,101,103,104,105, 104,105,104,103,101,101,101,103,106,107,111,115,118,122,125,128,130,131,133,133,133,131,129,124, 121,116,112,107,102, 97, 91, 88, 83, 81, 80, 77, 78, 77, 79, 80, 82, 85, 87, 91, 94, 99,104,109, 116,123,129,139,145,155,161,169,174,181,184,190,192,194,195,195,194,194,193,193,192,190,188,186, 182,180,176,173,169,166,161,159,155,152,149,147,145,143,143,143,142,143,142,144,144,143,143,142, 141,138,136,132,129,125,122,119,116,113,113,111,113,114,115,120,124,129,135,139,145,150,154,159, 162,167,169,171,172,173,171,172,170,170,167,166,163,160,157,154,150,147,142,138,133,129,125,122, 119,116,113,112,109,109,106,106,105,106,106,107,108,112,113,118,122,128,132,139,145,151,156,161, 167,170,174,175,177,175,176,172,171,167,165,161,156,152,147,143,139,136,133,132,130,128,128,126, 125,123,121,118,116,113,111,108,105,100, 96, 91, 87, 83, 80, 76, 72, 70, 67, 66, 63, 62, 60, 60, 60, 61, 65, 67, 72, 75, 80, 83, 87, 90, 92, 97, 99,103,106,108,111,113,115,116,116,118,117,119, 118,119,119,117,116,112,110,105,101, 96, 90, 85, 78, 74, 69, 66, 62, 62, 61, 61, 63, 65, 69, 73, 77, 83, 87, 94, 98,103,106,110,112,115,115,117,117,117,117,117,118,119,122,122,126,127,131,132, 137,138,141,141,144,144,147,147,150,151,154,157,158,162,162,165,166,165,165,163,162,159,156,153, 148,145,140,137,132,130,127,123,122,120,118,119,118,119,119,122,123,124,127,130,132,137,140,147, 151,156,163,167,173,178,183,186,189,189,190,187,186,182,176,172,165,159,153,146,141,134,131,125, 122,118,117,114,114,114,113,114,114,116,116,117,116,119,118,120,120,122,123,125,125,128,128,130, 130,132,133,135,138,140,144,146,149,152,154,158,161,164,167,169,170,172,173,173,172,171,171,170, 170,169,170,170,168,166,166,163,163,160,157,155,152,149,145,140,136,129,125,119,113,109,104,102, 98, 97, 95, 95, 94, 96, 97,102,104,110,113,118,121,125,128,130,134,136,138,141,141,142,142,140, 139,135,133,130,126,123,119,117,113,111,108,105,103,101, 98, 97, 94, 92, 91, 88, 86, 85, 82, 79, 76, 73, 71, 69, 68, 68, 67, 68, 68, 71, 73, 75, 79, 80, 84, 85, 88, 89, 90, 92, 93, 93, 96, 97, 98,101,104,107,111,115,120,124,130,135,139,144,146,151,152,153,154,152,151,147,144,138,132,127, 121,116,112,106,103, 99, 95, 92, 88, 87, 84, 83, 81, 81, 80, 83, 84, 88, 91, 95,101,106,112,119, 123,130,137,142,148,152,157,160,165,167,171,172,175,176,178,178,180,180,181,181,181,181,180,180, 179,176,175,171,169,166,162,160,156,154,152,150,149,148,147,146,144,143,141,137,136,131,129,125, 122,118,115,112,108,106,104,103,104,104,108,109,115,118,124,128,134,140,145,152,157,161,167,169, 173,175,175,176,176,174,174,171,171,167,165,160,157,152,151,146,144,141,139,137,134,132,129,127, 124,123,121,119,119,118,118,116,116,115,116,116,118,120,123,125,130,133,136,140,143,147,151,155, 158,161,163,165,166,165,165,163,163,162,162,162,161,161,159,159,158,156,155,152,150,147,144,140, 137,132,128,123,116,111,104, 99, 93, 87, 81, 76, 71, 67, 63, 60, 58, 56, 57, 55, 57, 57, 59, 63, 65, 70, 72, 78, 82, 85, 89, 91, 95, 97, 98,101,102,105,105,108,110,111,114,114,117,118,120,120, 121,121,119,118,115,113,110,105,102, 98, 94, 91, 85, 84, 80, 80, 79, 78, 80, 80, 83, 85, 88, 89, 91, 92, 94, 93, 95, 94, 96, 95, 98, 98,101,102,104,107,111,113,117,119,123,125,129,131,135,139, 140,145,146,151,153,156,160,162,165,167,168,169,169,169,168,167,165,163,161,157,155,150,148,144, 142,139,137,136,134,134,133,134,134,133,133,132,132,133,133,135,135,138,141,143,146,150,152,157, 161,165,171,174,178,179,182,182,181,181,179,176,175,173,169,166,162,160,155,153,150,146,144,141, 139,137,135,132,130,128,126,124,123,121,120,119,116,114,111,110,107,106,105,103,104,104,106,106, 109,110,114,118,122,128,132,139,143,148,151,156,157,162,164,166,169,170,171,170,169,169,167,167, 165,164,162,162,161,161,160,158,157,154,150,147,143,140,135,133,128,126,122,121,118,115,114,112, 111,111,109,110,109,110,110,112,112,113,115,115,117,117,119,118,121,120,122,122,122,122,120,120, 119,118,117,117,116,116,116,115,116,115,115,114,114,113,110,106,103, 98, 94, 87, 82, 76, 71, 65, 62, 56, 54, 51, 49, 48, 47, 48, 48, 50, 52, 55, 56, 60, 62, 63, 66, 68, 69, 72, 72, 76, 77, 82, 85, 91, 96,101,107,113,116,122,125,129,131,133,134,135,135,133,134,131,130,128,126,123,122,118, 116,113,111,107,105,101, 99, 96, 95, 93, 92, 91, 92, 92, 93, 94, 96, 99,100,104,108,112,115,120, 124,128,131,135,139,143,148,153,157,162,166,171,176,178,183,186,190,192,196,198,198,199,197,197, 193,192,188,185,182,178,176,172,168,166,162,159,157,154,152,148,147,144,140,137,132,130,126,124, 121,120,120,119,119,118,119,118,120,122,126,129,132,137,139,144,146,150,152,156,158,159,162,162, 164,164,162,162,160,159,158,157,156,157,155,155,153,153,152,150,150,149,149,147,147,145,144,142, 140,138,134,132,129,124,123,119,119,117,117,117,119,120,124,125,130,132,137,140,143,148,151,156, 159,163,166,168,172,174,175,179,179,181,182,182,182,182,180,179,177,174,172,169,165,160,158,152, 149,144,139,132,127,121,114,109,102, 97, 90, 86, 82, 78, 76, 75, 73, 74, 74, 76, 77, 77, 79, 81, 81, 83, 83, 84, 83, 84, 83, 82, 83, 81, 82, 81, 83, 83, 84, 87, 88, 92, 96, 99,104,105,109,109, 111,110,110,108,107,104,102,100, 97, 95, 92, 90, 89, 87, 85, 83, 82, 80, 80, 77, 77, 74, 74, 73, 74, 74, 74, 76, 77, 80, 81, 85, 87, 91, 93, 98,102,106,109,114,118,120,124,127,130,133,137,140, 144,147,149,152,154,154,157,156,158,157,158,157,157,155,155,152,152,150,150,148,148,147,148,147, 148,148,146,147,146,146,146,145,144,142,141,139,136,135,133,134,135,136,137,140,141,145,147,150, 152,155,157,161,164,166,169,170,170,172,171,172,171,172,171,171,169,167,165,162,158,156,152,148, 146,141,138,135,130,127,123,118,115,110,108,103,102, 99, 98, 94, 95, 93, 94, 93, 96, 96,100,103, 108,113,118,125,130,137,141,146,150,152,155,155,157,157,158,157,157,157,155,156,156,156,156,156, 156,157,158,159,159,160,159,159,158,157,154,154,151,150,147,145,143,141,137,135,131,129,126,123, 118,116,113,110,109,107,108,107,107,109,110,111,112,113,113,115,114,116,116,117,118,119,119,122, 123,126,127,130,130,133,133,134,132,132,129,128,124,119,115,109,101, 95, 86, 80, 73, 66, 62, 56, 54, 52, 50, 51, 50, 52, 54, 55, 59, 60, 63, 65, 66, 68, 70, 70, 73, 74, 77, 79, 82, 84, 87, 90, 92, 94, 97, 99,103,106,108,111,112,115,116,118,119,121,123,124,127,129,129,131,131,132,131,129, 128,127,124,123,119,118,114,110,108,104,103,100, 99, 97, 97, 97, 95, 96, 96, 97, 98,101,104,106, 111,114,119,123,127,134,139,146,152,161,167,175,181,187,192,195,198,200,202,201,201,199,198,196, 191,189,184,181,177,175,171,169,166,164,161,158,156,154,151,148,148,145,145,143,141,140,138,138, 136,134,134,132,131,131,129,131,130,131,130,131,132,131,133,134,135,137,138,141,143,144,147,147, 150,149,152,152,152,154,156,156,159,161,164,166,167,169,168,169,167,167,163,161,155,152,145,140, 133,128,122,116,113,108,104,102,100,100,100,101,104,106,109,112,116,119,124,127,133,137,142,146, 151,155,157,162,163,166,166,167,167,166,164,163,160,160,159,156,156,155,153,152,149,148,144,142, 139,134,132,127,124,119,116,111,109,105,102,100, 96, 96, 93, 94, 92, 92, 92, 91, 91, 89, 88, 86, 85, 83, 81, 78, 76, 73, 73, 71, 73, 73, 77, 79, 84, 88, 94, 97,102,107,110,115,118,122,123,126, 124,125,122,121,117,115,113,109,107,103,101, 96, 94, 90, 85, 82, 78, 76, 73, 70, 70, 67, 68, 68, 69, 70, 72, 74, 78, 81, 86, 88, 92, 94, 97, 99,102,104,107,109,112,113,116,117,120,122,123,126, 129,130,134,135,138,138,141,141,142,141,143,143,145,146,148,150,152,153,155,157,159,161,161,163, 162,162,159,159,155,153,150,145,143,139,136,134,131,130,129,129,129,129,131,133,135,139,142,147, 150,156,159,164,168,172,174,178,180,182,184,184,185,185,183,183,180,179,175,171,169,164,161,156, 154,149,147,142,139,136,131,129,124,122,118,114,112,110,107,106,105,106,106,109,110,114,117,119, 123,126,129,131,133,134,136,136,135,136,134,135,134,134,134,133,135,135,138,138,142,143,147,149, 152,155,157,159,162,162,164,165,166,165,165,163,161,158,153,150,144,140,134,130,126,121,118,113, 111,107,105,105,104,105,105,106,108,108,112,112,115,116,118,119,122,123,126,127,128,131,133,134, 137,138,141,142,145,144,144,143,139,136,131,127,122,116,112,105,101, 95, 89, 86, 81, 79, 76, 77, 75, 76, 77, 76, 77, 77, 78, 78, 77, 78, 76, 77, 76, 76, 75, 74, 72, 73, 72, 74, 74, 74, 77, 77, 80, 80, 83, 84, 88, 90, 95, 99,102,108,111,117,121,124,129,132,136,139,140,143,141,142,139,138, 133,131,126,123,119,114,112,107,105,101, 98, 96, 95, 92, 92, 90, 90, 89, 91, 90, 93, 95, 97,101, 105,111,116,124,130,138,143,151,157,164,169,173,176,180,182,183,185,184,185,184,184,182,181,179, 179,176,176,173,174,172,173,172,171,171,169,170,169,168,166,165,163,160,159,156,154,150,147,144, 138,136,130,128,124,121,118,115,115,113,114,113,116,117,118,120,122,125,127,128,131,133,135,137, 140,142,145,147,151,154,158,161,163,166,168,169,169,168,166,164,160,157,151,147,142,136,131,125, 122,117,115,112,109,107,105,105,106,106,109,110,114,116,121,125,129,133,136,139,142,145,147,148, 151,151,152,151,152,152,151,152,152,152,153,153,152,154,154,155,156,158,160,160,162,160,160,157, 153,151,145,142,136,133,129,125,121,117,114,109,107,103,101, 99, 96, 92, 90, 85, 83, 78, 75, 70, 69, 65, 65, 64, 63, 65, 66, 67, 71, 74, 80, 84, 90, 95,101,105,109,111,114,116,118,118,119,119, 119,118,115,112,110,106,105,100, 97, 95, 91, 89, 86, 82, 81, 78, 76, 75, 75, 74, 76, 76, 78, 79, 82, 84, 86, 88, 88, 91, 91, 92, 92, 93, 93, 93, 93, 93, 94, 94, 95, 97,100,101,105,107,110,114, 116,120,123,126,129,133,135,139,142,147,150,155,158,163,166,169,171,172,174,174,175,174,171,170, 167,163,160,156,150,146,141,138,133,130,128,124,124,122,124,123,126,127,131,133,137,141,144,150, 153,158,160,165,167,171,172,173,174,173,174,172,172,169,168,165,164,162,161,158,158,156,156,153, 152,150,147,146,144,140,139,135,133,129,127,125,122,122,120,119,120,119,121,121,122,122,122,123, 122,123,123,123,123,124,125,125,125,126,127,129,129,131,135,136,141,143,146,151,154,160,163,168, 173,176,180,181,183,182,182,180,179,177,174,169,166,160,156,149,144,137,133,127,124,120,118,116, 116,114,115,116,115,117,118,118,120,120,122,121,122,121,121,120,122,123,123,125,127,127,130,130, 132,134,135,135,136,134,134,132,130,127,124,120,117,114,111,110,107,106,105,103,102,100,100, 98, 98, 96, 94, 93, 90, 89, 85, 84, 80, 78, 74, 73, 70, 67, 67, 64, 64, 63, 62, 62, 62, 63, 64, 67, 68, 72, 74, 79, 83, 89, 93,100,106,110,117,121,127,130,133,137,138,139,138,138,135,135,131,129, 127,123,121,118,116,113,109,107,104,102, 99, 98, 95, 94, 93, 91, 91, 92, 91, 94, 94, 98, 99,104, 107,110,115,120,123,129,132,136,139,143,145,148,149,150,153,153,156,156,158,158,161,161,164,164, 167,167,169,172,172,175,175,178,178,178,179,178,179,178,176,173,171,166,162,158,152,148,142,137, 133,127,124,121,117,116,116,114,116,116,119,121,123,124,126,127,129,130,132,134,135,138,140,144, 145,149,151,154,157,159,163,163,166,167,166,166,164,164,162,161,158,156,153,150,146,141,138,134, 131,128,126,124,123,122,122,122,120,121,120,122,123,123,126,126,129,129,131,130,131,132,131,132, 131,132,132,131,133,132,135,136,140,143,146,151,155,158,162,163,166,168,168,169,167,167,164,160, 157,152,148,144,139,136,131,129,125,122,119,115,112,107,105, 99, 97, 92, 89, 85, 81, 79, 75, 74, 73, 73, 73, 73, 74, 76, 78, 80, 83, 86, 89, 92, 95, 97, 99,101,104,105,108,109,111,110,112,111, 112,111,111,111,110,108,108,105,105,103,100, 99, 97, 96, 94, 95, 93, 94, 92, 93, 93, 93, 93, 91, 91, 90, 87, 86, 83, 83, 80, 80, 79, 77, 77, 76, 78, 77, 80, 80, 82, 85, 86, 90, 92, 95,100,102, 106,109,114,116,121,125,128,133,135,140,143,147,150,154,155,158,159,161,161,160,161,158,158,155, 154,150,149,147,144,142,139,138,136,133,133,132,132,133,133,135,137,140,142,146,148,152,154,158, 159,163,165,165,167,168,167,167,166,166,165,166,167,166,168,169,170,172,173,173,174,174,174,173, 172,170,167,164,160,156,154,150,148,144,142,138,136,132,130,126,125,122,122,120,121,120,120,120, 119,120,119,121,121,121,123,124,124,126,127,130,130,134,137,139,143,145,150,153,155,159,163,165, 169,172,173,176,177,175,176,173,172,168,164,162,157,154,150,148,144,142,138,137,134,134,132,133, 132,133,131,131,130,127,127,123,122,120,117,116,113,113,112,112,113,114,115,115,119,119,123,123, 126,127,128,130,129,130,130,128,129,127,128,126,127,125,125,123,122,119,118,115,113,109,107,104, 100, 98, 95, 92, 89, 85, 82, 79, 77, 75, 73, 71, 69, 66, 65, 64, 61, 62, 60, 60, 60, 60, 62, 64, 65, 69, 71, 76, 79, 84, 86, 91, 94, 99,101,105,107,109,111,111,113,113,114,113,114,114,113,114, 114,113,111,111,109,109,108,105,104,103, 99, 99, 95, 95, 92, 91, 90, 90, 89, 91, 91, 94, 96, 98, 100,104,107,109,112,116,119,123,127,130,135,138,140,144,146,151,154,156,160,163,165,167,170,171, 174,176,178,181,182,185,187,188,189,188,188,187,184,183,179,176,171,167,163,156,153,148,145,141, 141,139,138,137,135,135,133,133,131,132,132,132,132,131,132,131,131,130,132,131,133,133,136,137, 138,141,144,145,149,150,154,155,158,160,162,163,164,164,164,163,163,161,161,159,156,154,150,147, 143,140,136,134,131,130,127,127,126,124,125,123,124,123,123,124,123,124,123,123,123,121,122,121, 123,124,124,128,129,134,137,142,147,151,155,158,162,164,166,168,169,168,168,165,165,161,159,157, 154,152,150,147,145,143,141,137,136,132,130,125,123,118,115,112,107,105,100, 98, 95, 93, 90, 89, 86, 85, 84, 82, 82, 80, 80, 80, 78, 79, 78, 80, 80, 82, 83, 86, 89, 90, 93, 95, 98,100,100,103, 103,103,104,103,104,103,103,102,102,101,101,100,100, 98, 98, 96, 96, 94, 94, 91, 90, 87, 86, 83, 82, 80, 78, 76, 76, 74, 74, 74, 72, 74, 74, 76, 77, 80, 82, 84, 85, 89, 89, 93, 94, 97,100,102, 106,109,111,114,117,121,123,127,130,134,137,141,145,146,150,151,154,155,157,159,160,161,161,159, 159,157,156,154,153,150,149,146,145,142,141,140,138,139,139,140,142,143,145,147,149,150,151,151, 151,152,151,153,153,155,155,158,159,160,163,165,168,170,173,175,178,180,180,182,181,182,181,181, 178,176,172,170,166,162,157,154,149,146,143,139,137,133,131,129,127,124,124,124,122,123,122,123, 124,124,126,125,127,126,127,126,127,127,128,127,129,129,131,132,135,137,140,143,146,151,154,158, 160,163,165,167,167,168,166,166,165,163,162,160,159,157,156,155,153,153,151,151,149,149,148,145, 144,141,137,134,130,127,122,119,115,112,109,108,105,105,104,105,106,107,109,110,112,114,115,116, 118,119,121,122,122,124,125,125,127,126,128,126,127,126,123,122,119,117,113,111,108,105,103, 99, 98, 95, 94, 92, 91, 89, 86, 85, 82, 82, 79, 78, 74, 74, 70, 70, 68, 67, 67, 66, 68, 68, 68, 70, 72, 73, 76, 77, 81, 84, 87, 89, 92, 93, 96, 98, 99,102,104,107,110,112,115,116,118,119,121,121, 123,124,123,124,122,121,119,117,113,111,108,106,104,102,100, 96, 95, 92, 92, 90, 91, 90, 92, 93, 93, 97, 98,102,105,109,111,117,120,126,129,134,137,140,143,145,146,149,151,154,157,159,164,166, 169,173,176,179,181,183,184,185,185,185,183,182,181,179,176,173,172,168,166,164,160,159,156,155, 153,153,151,151,150,149,147,146,144,143,141,139,137,136,135,132,133,131,131,131,130,132,132,133, 135,136,139,143,144,149,151,156,159,162,166,167,171,173,173,174,174,172,171,168,163,161,156,153, 149,146,143,140,139,137,136,135,133,133,132,132,130,129,126,126,123,123,120,120,118,118,119,119, 121,122,125,127,131,133,137,139,141,144,146,148,148,150,151,149,150,149,148,148,146,146,145,145, 143,144,142,142,140,140,138,137,133,132,128,126,124,120,119,114,113,109,107,102,100, 97, 93, 91, 87, 85, 81, 80, 77, 74, 74, 72, 73, 73, 75, 78, 78, 82, 83, 88, 89, 94, 95, 99,101,105,106,109, 109,111,112,111,112,111,112,112,111,112,112,110,110,107,107,105,104,101,101, 98, 97, 94, 91, 90, 86, 86, 83, 84, 83, 82, 83, 84, 84, 83, 84, 84, 86, 86, 88, 88, 89, 89, 90, 90, 91, 91, 93, 93, 96, 98, 99,103,104,108,109,113,114,119,121,127,130,136,141,144,150,153,157,159,162,162,164,162, 162,159,158,155,152,151,148,147,145,144,143,141,141,139,140,139,138,139,138,139,140,139,140,140, 141,141,142,143,145,146,149,152,153,158,160,164,168,169,174,175,179,179,182,182,181,181,180,179, 176,174,170,168,164,162,159,155,153,149,147,144,142,139,138,136,136,135,135,134,135,134,135,133, 133,133,131,130,127,126,122,120,119,116,115,114,113,115,115,118,119,124,126,131,135,137,142,144, 147,149,152,153,155,155,156,157,157,158,158,159,159,158,159,158,158,156,156,154,151,149,144,141, 137,132,128,124,119,117,113,112,109,108,106,107,106,105,107,107,108,109,111,111,114,114,117,118, 121,121,125,125,128,128,130,130,129,129,127,126,125,124,122,120,117,116,112,111,110,108,108,107, 106,107,105,105,102,102, 98, 97, 95, 91, 90, 86, 84, 80, 78, 75, 73, 71, 70, 68, 69, 67, 68, 67, 69, 69, 69, 71, 72, 73, 76, 78, 81, 84, 87, 90, 93, 96,100,104,109,112,117,121,124,125,128,129, 130,129,130,129,128,126,124,121,119,115,114,110,106,104,100, 98, 94, 93, 90, 89, 89, 89, 92, 94, 97,100,105,108,112,114,119,121,124,125,129,130,132,133,136,137,141,142,146,147,151,153,158,161, 164,167,170,173,175,177,178,178,179,178,179,178,178,178,176,177,175,175,173,173,171,170,169,168, 167,165,163,159,158,154,152,148,146,142,140,136,134,132,128,127,124,124,121,122,120,122,122,125, 126,130,133,136,141,145,151,155,160,163,166,167,170,170,171,169,167,166,162,160,157,154,150,149, 145,145,143,141,140,138,138,136,135,134,132,132,130,128,127,124,124,122,122,121,123,122,125,125, 127,130,131,133,134,135,137,138,140,141,142,142,143,142,143,143,144,145,146,146,148,148,150,151, 151,150,151,150,152,150,151,149,149,147,144,142,138,136,132,129,126,120,117,110,106,102, 97, 91, 88, 83, 81, 78, 75, 75, 73, 74, 73, 76, 76, 80, 82, 85, 88, 91, 92, 95, 97, 98,100,101,104,104, 106,106,106,108,107,108,108,107,108,108,107,107,105,105,103,103,101, 99, 98, 97, 95, 95, 93, 94, 92, 93, 92, 93, 92, 93, 92, 93, 91, 92, 90, 90, 90, 89, 88, 88, 87, 87, 86, 86, 85, 85, 84, 85, 84, 86, 88, 90, 92, 95, 99,103,109,114,120,126,131,137,142,147,152,154,159,159,162,161,163,160, 160,158,157,155,152,151,149,147,146,143,143,140,140,139,137,137,135,136,134,135,133,134,133,133, 135,135,137,138,140,143,144,147,149,151,155,156,159,159,162,164,164,166,167,167,167,167,165,166, 164,162,161,158,157,154,153,150,149,147,146,145,145,144,144,145,145,146,146,145,146,143,143,140, 138,134,132,128,126,123,119,118,115,115,115,115,117,119,120,124,127,130,134,136,140,143,145,149, 150,154,155,158,160,161,163,165,166,168,169,171,171,171,171,169,167,165,161,159,154,152,148,145, 140,137,132,130,125,124,121,119,118,116,116,114,114,113,114,114,114,115,115,116,116,117,117,119, 119,120,121,120,121,120,121,121,119,120,118,118,116,117,117,116,118,117,119,119,120,120,122,121, 122,121,120,119,116,115,113,108,106,102,100, 95, 93, 90, 86, 84, 81, 78, 76, 73, 72, 70, 70, 69, 68, 68, 67, 70, 70, 73, 75, 79, 83, 86, 91, 95, 98,103,106,111,113,117,119,121,124,125,128,128, 130,129,130,128,127,126,123,121,118,114,112,108,106,104,101,100, 98, 99, 99,100,101,103,105,107, 109,110,112,113,115,115,115,117,116,117,117,118,118,118,120,120,122,123,127,128,132,134,138,142, 145,148,151,153,157,158,161,162,165,166,168,169,170,169,170,169,169,169,167,166,164,163,160,158, 156,153,151,147,145,141,140,137,134,131,129,127,123,122,119,119,117,116,117,117,120,121,125,127, 131,135,137,142,145,149,152,156,158,159,159,160,158,159,157,157,155,155,153,153,151,152,150,151, 150,151,150,151,151,150,150,148,147,144,143,141,138,138,136,135,135,132,133,131,132,131,130,131, 130,131,130,131,129,131,130,130,131,132,133,135,135,138,138,141,142,145,147,150,151,154,155,157, 158,159,160,159,160,159,159,157,156,153,152,148,146,142,139,135,130,125,121,116,112,107,104,100, 97, 94, 93, 90, 90, 89, 90, 90, 92, 92, 94, 94, 96, 96, 98, 97, 99, 99,100, 99,101,102,102,103, 104,105,105,106,107,107,107,108,107,107,106,107,107,108,109,109,110,110,111,110,111,109,109,107, 108,106,106,104,104,102,101,100, 98, 97, 95, 94, 91, 91, 88, 88, 85, 84, 81, 81, 78, 78, 78, 77, 79, 80, 83, 85, 89, 94, 98,103,108,112,118,122,127,131,135,137,140,141,143,143,144,143,144,143, 141,141,140,139,139,138,138,137,137,136,136,135,133,134,132,132,131,130,131,129,130,130,130,131, 132,132,133,134,134,136,135,137,137,139,140,143,144,147,147,150,151,152,154,155,155,157,157,158, 158,158,158,158,157,158,158,156,158,157,158,158,156,157,155,155,153,152,149,148,145,143,138,135, 130,128,124,122,119,118,116,117,116,118,117,120,120,123,125,128,130,132,134,135,136,139,140,143, 144,147,149,152,154,155,157,158,160,160,162,162,163,162,162,161,161,159,158,156,154,154,151,151, 148,147,146,143,142,139,137,135,132,131,128,127,126,124,122,122,121,121,120,119,119,119,118,119, 117,118,118,117,117,116,117,117,118,119,120,121,122,124,125,128,129,131,132,134,134,136,135,135, 133,132,130,127,126,124,120,119,115,113,109,107,104,100, 97, 93, 91, 87, 86, 84, 81, 81, 80, 80, 80, 79, 80, 80, 82, 83, 84, 85, 87, 88, 91, 92, 95, 96, 99,101,104,106,109,112,113,116,117,117, 118,118,118,117,117,116,113,113,112,109,109,108,106,107,105,106,106,105,107,106,107,107,108,107, 108,107,107,106,106,106,104,105,105,104,105,106,105,108,110,111,115,117,121,123,127,129,133,135, 139,141,145,147,151,153,157,158,161,161,164,163,165,165,165,164,164,162,162,160,158,158,155,155, 152,152,150,149,146,145,142,140,138,136,134,133,130,130,127,127,125,125,124,126,125,128,128,131, 133,134,136,137,139,141,141,143,143,144,145,144,145,146,146,147,148,150,151,153,155,155,158,157, 159,158,159,159,158,157,156,154,152,149,147,144,141,139,136,135,132,132,129,129,128,127,127,126, 125,126,126,126,127,128,128,131,131,134,135,136,138,139,141,142,144,144,146,146,147,148,149,148, 150,150,151,151,150,150,150,150,149,148,146,145,142,141,137,136,132,130,127,125,121,120,118,116, 115,113,112,110,109,107,106,104,101,101, 99, 97, 97, 95, 95, 94, 95, 94, 95, 96, 95, 97, 96, 98, 99, 99,101,102,103,105,106,108,110,110,112,113,114,115,115,116,115,116,114,114,112,112,109,109, 107,107,105,105,103,101,101, 99, 98, 96, 96, 94, 94, 93, 91, 91, 88, 88, 87, 85, 86, 85, 86, 86, 89, 90, 91, 94, 97, 98,102,104,109,112,114,118,120,123,125,126,128,129,131,132,134,136,136,138, 138,140,141,142,141,143,142,142,143,142,141,141,139,139,137,137,137,136,134,134,132,131,130,128, 128,127,125,126,125,127,127,127,130,130,133,135,138,141,143,146,147,150,151,152,154,153,155,154, 155,156,156,156,156,156,156,157,157,158,157,158,158,157,156,155,151,150,148,145,141,140,137,136, 134,131,131,130,129,129,129,129,129,130,129,130,131,130,131,131,131,132,132,132,132,134,133,135, 135,137,138,140,142,144,145,148,149,151,152,155,157,158,159,160,160,162,161,162,161,161,160,159, 156,155,151,150,146,144,140,138,135,131,130,126,125,123,120,120,118,118,116,116,115,114,114,113, 112,112,112,113,113,114,115,117,117,118,121,120,123,123,124,124,125,125,125,125,124,125,123,124, 122,122,120,120,118,118,115,114,111,111,108,107,104,103,101,100, 99, 97, 97, 95, 96, 94, 94, 92, 92, 91, 91, 91, 89, 90, 89, 90, 90, 91, 91, 92, 94, 95, 98,101,103,106,109,110,113,114,117,118, 120,120,122,122,122,121,122,120,120,119,118,118,117,116,117,115,115,114,114,112,112,111,111,109, 109,107,107,106,104,104,105,104,106,105,107,107,110,111,112,115,116,119,121,124,125,129,131,132, 135,135,138,139,141,142,144,145,146,147,147,148,148,148,149,149,151,151,151,153,153,153,155,154, 155,155,155,153,153,152,149,148,145,143,139,138,135,134,131,131,129,130,129,129,130,130,129,131, 131,132,133,133,134,134,136,136,138,138,140,141,144,145,148,150,152,153,156,156,159,159,159,161, 160,161,159,159,157,157,155,152,151,149,148,146,144,143,141,141,138,137,137,135,136,136,134,135, 134,135,135,136,136,136,137,138,137,138,137,138,137,137,135,136,134,135,133,134,134,134,135,135, 136,137,137,138,138,139,139,138,139,138,138,137,136,134,134,132,131,128,128,126,123,122,119,118, 116,115,112,110,110,107,106,104,103,102,102,100,100, 99, 99, 98, 98, 98, 97, 99, 98,100,100,101, 103,104,105,106,108,108,111,111,114,115,116,116,116,116,115,116,114,115,113,114,112,111,111,110, 110,109,110,110,111,110,111,110,110,108,108,107,106,103,102,100, 99, 97, 94, 94, 92, 93, 92, 93, 94, 94, 96, 96, 98, 99,101,101,103,105,106,109,110,113,114,117,119,122,123,126,128,131,132,135, 136,138,139,139,141,141,140,141,140,141,139,139,139,137,137,134,134,131,130,128,127,126,123,123, 121,121,120,122,121,124,125,127,130,131,135,136,138,140,141,143,143,145,144,146,145,147,146,147, 147,148,150,149,152,152,154,155,155,156,156,156,156,156,155,154,154,152,152,151,149,147,147,145, 144,144,142,142,141,140,138,138,136,136,135,135,133,134,133,132,132,131,131,130,131,132,131,133, 133,136,136,139,140,142,143,146,147,149,151,153,154,157,157,159,159,160,159,160,158,157,154,153, 150,147,145,141,140,138,136,133,132,130,130,127,127,125,126,124,124,124,123,122,121,120,120,118, 119,118,118,117,118,116,117,115,115,116,115,116,117,117,117,119,118,120,119,121,120,122,121,123, 122,123,122,122,120,121,119,119,118,116,117,115,115,112,112,110,109,108,105,105,103,100, 99, 97, 96, 93, 92, 90, 90, 89, 89, 89, 89, 90, 91, 93, 94, 97, 99,103,106,108,111,113,115,117,118,119, 118,119,119,120,120,119,118,119,118,119,118,117,118,117,117,116,116,116,114,114,113,113,113,111, 112,111,112,112,112,113,112,114,114,114,115,116,116,117,118,119,119,119,121,121,123,123,125,126, 126,128,128,130,130,130,131,132,132,133,135,135,138,139,140,143,145,147,150,150,154,154,156,156, 157,156,155,154,153,150,149,146,144,142,140,137,136,133,133,131,131,129,130,130,129,130,130,129, 130,130,129,131,130,132,131,133,133,135,135,137,137,139,140,142,144,144,146,146,148,148,149,149, 148,149,147,148,146,147,145,145,145,144,144,144,142,143,142,140,141,140,140,140,140,141,141,142, 141,142,141,141,141,139,139,137,137,135,134,132,132,130,130,129,130,130,130,132,132,134,136,137, 138,139,140,141,142,143,144,143,144,142,143,141,140,139,137,136,135,132,131,129,127,124,122,120, 117,116,113,113,111,109,109,107,107,106,104,105,104,104,103,104,103,104,104,103,105,105,107,106, 108,108,110,110,112,112,113,114,113,115,114,114,113,114,114,113,113,113,114,115,115,117,117,119, 121,121,123,123,125,124,125,123,123,121,120,118,117,114,113,110,109,106,106,104,103,102,100,100, 99,100, 98,100, 99,101,102,104,105,107,110,111,114,116,118,121,122,125,127,128,130,131,133,133, 135,135,136,138,137,139,138,140,139,138,138,137,136,135,133,132,129,129,127,124,124,122,122,122, 122,123,123,125,126,128,128,130,130,132,133,133,134,134,135,133,134,134,132,134,134,134,135,134, 136,136,139,139,141,142,144,144,146,147,148,148,149,149,150,148,149,147,148,147,145,145,144,142, 143,142,141,139,139,136,136,134,133,131,131,130,129,129,128,129,128,128,129,128,130,129,132,132, 134,135,136,139,140,142,144,146,148,150,152,153,155,155,156,157,156,155,153,153,151,151,149,146, 146,143,142,140,139,137,137,136,134,134,132,132,131,130,130,129,127,128,126,126,124,124,123,121, 121,119,118,117,116,115,115,114,113,113,112,113,113,114,116,115,118,118,120,120,123,122,125,124, 126,126,127,127,127,128,126,127,126,126,125,124,124,122,122,120,117,117,113,113,110,107,104,103, 100,100, 97, 97, 96, 96, 96, 98, 98, 99,102,103,107,108,111,112,114,115,117,118,118,120,119,121, 121,121,120,121,119,120,120,119,119,118,119,119,118,119,118,120,120,120,120,121,120,122,121,122, 121,122,121,121,120,120,120,118,118,117,117,116,116,116,115,116,115,116,115,117,116,117,116,117, 116,118,118,117,119,119,121,122,122,125,126,128,131,132,135,136,139,140,143,143,145,144,145,145, 143,143,141,141,139,136,136,133,133,130,130,128,129,127,128,127,128,128,128,129,128,129,128,130, 128,129,128,130,129,131,130,132,132,133,134,134,135,134,136,136,138,137,139,139,140,141,141,142, 143,144,144,146,146,147,146,147,147,145,146,144,145,145,144,145,144,144,144,143,143,143,142,142, 140,140,138,137,136,134,133,131,131,129,129,128,128,127,129,129,128,130,130,132,132,134,135,137, 137,139,139,141,141,143,142,143,142,143,142,140,140,138,138,136,134,133,130,130,128,127,126,124, 124,122,123,122,121,121,120,121,119,119,117,118,116,117,115,116,115,115,115,115,114,115,115,115, 116,115,116,115,116,115,115,114,114,113,114,113,113,114,114,115,118,118,121,121,123,126,127,129, 130,132,133,132,133,132,132,131,129,128,126,124,122,120,118,115,114,112,110,107,106,105,104,103, 103,101,102,102,104,103,106,106,108,110,111,114,116,116,118,118,120,121,122,122,123,123,124,124, 125,125,126,126,127,126,127,127,125,126,124,124,123,122,122,120,121,119,120,119,120,120,122,121, 123,124,124,126,127,128,127,129,127,129,128,127,127,126,126,124,125,123,124,124,124,125,126,128, 128,130,131,133,134,136,137,139,140,140,142,144,143,145,145,144,145,144,145,144,142,143,140,140, 138,136,135,133,133,131,131,129,130,129,129,128,127,128,127,128,128,127,129,128,130,129,131,131, 133,133,136,136,139,139,142,143,144,145,146,146,147,147,148,148,147,146,147,145,146,145,144,145, 145,143,144,142,142,141,142,141,140,140,139,140,139,137,137,136,135,133,133,131,130,127,126,125, 123,120,119,117,117,115,115,113,115,114,116,115,117,117,120,119,122,122,125,125,127,127,129,130, 129,131,131,132,132,133,132,134,132,133,131,132,130,130,127,127,124,123,120,119,118,115,115,112, 112,110,111,109,111,111,111,112,112,114,116,116,118,118,120,120,121,122,121,123,122,122,122,122, 122,121,122,121,121,120,120,120,119,119,118,119,119,120,120,121,121,122,122,123,124,123,124,123, 124,122,122,121,120,118,118,116,115,116,114,114,113,114,112,114,113,114,114,113,114,113,114,113, 114,113,115,115,117,118,118,120,121,124,125,127,128,131,132,135,135,137,137,138,136,137,135,136, 135,133,134,131,132,130,131,130,130,128,129,128,129,129,128,129,128,129,128,129,130,130,129,130, 129,131,129,130,128,130,128,128,127,127,126,127,126,127,128,127,130,130,132,133,134,136,137,137, 140,139,141,141,143,142,144,143,144,145,145,145,146,146,145,147,145,146,145,145,143,144,142,141, 141,140,138,138,136,136,134,135,133,133,132,133,132,131,133,132,133,133,133,133,134,135,134,136, 136,136,138,137,138,138,137,137,137,136,134,135,134,133,132,131,131,130,130,128,129,127,129,128, 128,129,128,127,128,127,127,125,126,125,123,124,122,122,120,121,119,120,120,119,119,118,119,118, 118,118,117,117,116,116,116,116,115,116,116,117,117,118,119,120,122,122,125,125,127,129,130,130, 130,132,131,132,131,132,132,131,131,129,129,127,126,124,124,121,120,118,117,115,115,114,112,113, 112,113,112,113,114,114,114,116,115,117,116,117,117,116,116,116,116,116,117,117,118,119,119,120, 120,122,122,123,122,123,123,124,124,122,123,121,122,121,120,120,119,119,118,119,119,119,118,119, 119,118,119,118,118,119,117,118,116,116,115,115,114,115,114,115,115,115,117,117,118,119,120,122, 124,125,126,128,129,132,133,135,137,137,139,140,141,141,142,141,141,140,140,139,139,138,138,136, 137,135,136,135,134,135,134,134,133,134,133,133,132,133,132,133,132,133,132,134,134,134,135,135, 135,137,136,138,137,139,139,141,141,143,143,143,144,144,146,145,147,146,147,146,147,147,147,146, 147,146,147,146,147,146,145,146,145,144,144,142,142,141,140,139,137,136,133,133,130,128,126,125, 122,121,119,119,117,117,117,117,117,118,119,118,121,120,121,123,122,124,123,125,125,125,125,125, 126,126,127,127,128,128,127,128,128,129,128,128,127,127,127,126,125,124,123,122,121,120,119,118, 118,118,117,118,117,118,117,118,118,117,118,117,119,119,118,120,120,120,121,121,122,122,121,122, 121,122,121,121,121,121,120,121,120,121,121,123,124,123,125,125,126,125,126,126,125,126,124,124, 122,122,119,120,117,118,117,115,115,114,115,115,113,114,113,112,113,111,112,110,111,109,110,109, 110,108,109,110,110,111,111,113,115,116,117,118,118,120,120,122,122,124,124,124,125,124,126,125, 128,127,128,128,129,128,130,129,130,129,131,130,131,131,132,131,132,131,132,132,131,132,131,131, 131,130,130,128,128,127,127,126,125,126,126,127,128,127,129,129,131,131,134,134,136,138,138,140, 140,142,142,144,144,146,146,147,147,148,148,149,149,148,149,150,148,149,149,149,148,149,147,148, 147,145,145,144,144,143,141,142,140,140,139,138,138,137,137,137,135,136,136,135,136,136,136,137, 135,136,135,136,135,134,134,133,133,132,130,130,129,129,129,128,129,129,129,130,129,130,130,131, 131,129,130,129,127,128,126,126,124,124,122,123,121,122,120,121,120,119,120,119,120,119,120,119, 120,119,120,118,120,119,120,119,121,120,122,122,122,123,123,124,124,126,126,127,128,128,129,129, 130,130,132,131,133,132,133,131,131,131,129,129,127,126,125,124,122,122,120,120,119,119,118,118, 117,118,116,116,116,115,115,113,114,112,113,112,112,111,112,112,111,113,113,114,114,116,116,118, 118,120,120,122,121,123,122,123,122,123,121,122,120,121,120,120,119,120,118,119,117,118,117,116, 117,115,116,115,116,115,116,115,115,115,115,115,115,115,116,116,117,117,118,118,119,120,120,121, 123,124,125,126,127,129,129,131,130,132,132,133,133,134,134,133,135,135,135,135,136,135,136,136, 138,137,138,138,139,138,139,139,138,139,139,138,138,137,136,136,135,135,133,134,134,134,132,134, 134,133,135,135,137,136,138,139,140,142,142,144,145,145,146,146,147,146,147,146,147,147,145,146, 144,145,144,144,142,143,141,141,139,140,138,138,136,136,135,133,132,131,129,128,126,126,124,124, 123,123,123,121,122,121,123,122,122,123,123,122,123,122,123,123,121,122,121,122,122,121,123,122, 124,123,125,125,125,127,127,128,128,129,129,130,130,129,130,129,130,129,129,128,128,128,126,126, 124,124,123,121,121,121,119,120,118,119,120,119,120,120,121,120,122,121,123,122,124,124,124,123, 124,124,125,125,124,126,125,126,126,127,127,128,127,128,128,127,128,127,127,126,126,124,124,124, 121,122,120,120,119,119,118,119,119,118,119,118,119,117,118,117,115,116,114,115,113,113,111,112, 110,111,110,109,110,110,110,111,111,113,113,113,115,116,116,118,118,120,122,122,124,124,126,126, 127,128,128,127,129,128,129,129,129,130,130,129,130,130,129,130,129,130,128,129,128,128,127,127, 125,125,124,125,123,124,124,125,126,126,127,128,128,130,130,132,133,133,134,134,136,137,137,136, 138,138,139,139,140,139,140,141,140,141,141,142,141,143,142,144,143,145,144,145,146,145,146,145, 146,145,144,144,142,143,140,141,139,138,137,136,136,134,134,134,133,134,133,134,133,135,134,135, 134,134,134,133,134,133,134,133,132,133,133,132,133,132,133,132,132,133,132,132,131,131,129,129, 128,126,126,125,123,123,123,122,122,121,120,121,120,121,120,121,121,120,121,121,121,122,122,122, 121,122,121,123,121,123,122,122,121,122,121,122,120,121,120,122,121,123,124,125,125,127,128,130, 130,132,133,133,134,135,134,135,134,135,133,134,132,133,131,131,129,129,127,128,126,126,124,124, 122,123,122,120,119,117,117,115,115,113,114,113,113,112,114,113,115,114,115,117,117,119,118,120, 119,121,120,121,120,121,119,120,118,119,117,118,117,116,117,115,116,115,114,115,114,115,114,115, 114,116,115,116,116,117,116,117,116,117,117,118,117,118,117,118,117,118,118,119,118,119,120,120, 121,121,123,123,123,125,124,126,126,127,127,129,128,130,131,130,132,131,133,133,135,136,135,137, 137,138,137,137,137,136,137,136,136,136,134,135,133,134,133,132,132,132,130,131,130,132,132,132, 132,134,134,136,137,138,140,140,142,144,145,145,146,145,146,145,145,144,145,144,144,142,143,141, 142,141,141,140,141,140,141,141,140,141,140,140,138,138,138,136,136,134,134,134,132,132,130,130, 129,127,127,126,125,125,122,122,121,119,119,117,118,117,116,116,116,115,117,116,118,117,120,120, 122,123,124,126,126,128,129,131,132,131,133,133,134,134,133,134,132,132,131,130,128,127,125,125, 123,123,121,122,121,121,122,121,123,123,123,125,125,126,127,127,128,128,129,129,129,129,128,129, 128,129,128,128,128,128,129,129,128,129,128,128,127,128,127,127,127,126,125,125,124,125,124,125, 124,125,125,125,124,125,124,125,124,124,122,123,120,120,119,117,116,116,114,113,112,111,110,109, 109,108,108,108,107,108,107,109,110,109,112,112,114,115,116,118,118,120,120,121,122,121,123,122, 123,123,123,123,123,124,124,123,124,123,125,124,126,125,126,125,127,127,126,127,127,127,128,128, 127,129,128,129,129,130,130,130,131,131,131,131,130,132,131,132,132,131,132,131,132,131,132,132, 133,133,132,133,133,134,135,135,136,137,137,139,139,141,142,144,145,145,147,147,148,148,147,147, 146,145,144,142,141,140,137,137,135,135,133,133,131,131,130,130,131,129,131,130,130,131,130,131, 130,131,130,132,132,131,132,132,133,133,132,133,131,132,131,131,131,129,130,129,127,127,125,125, 125,123,123,121,123,121,122,121,122,122,121,122,123,122,124,123,124,125,124,125,125,126,126,125, 125,124,125,123,123,122,122,120,120,120,119,120,120,121,122,122,122,124,125,127,128,130,131,134, 135,136,138,138,139,139,140,139,140,139,139,137,137,136,136,134,134,133,133,132,131,130,128,128, 126,125,125,123,123,122,121,122,120,120,121,121,122,121,122,121,122,122,122,123,122,121,122,120, 121,120,118,119,118,116,117,116,115,115,114,114,112,112,111,112,111,112,112,113,112,114,113,115, 114,116,116,117,115,116,115,116,115,115,113,113,112,113,112,112,112,111,113,112,114,114,115,116, 116,118,119,119,122,122,124,124,127,127,129,129,131,131,132,133,133,135,134,136,136,135,136,135, 136,136,136,134,135,134,135,134,133,133,132,132,131,131,130,131,130,131,131,131,131,131,131,133, 133,135,135,137,137,139,139,140,141,142,140,142,142,141,141,140,140,140,139,139,139,139,138,139, 140,140,141,140,142,141,142,141,141,142,141,142,140,141,139,140,138,139,138,136,136,134,134,132, 132,130,129,128,126,125,123,122,120,120,119,117,118,117,116,117,117,118,118,119,119,120,121,122, 124,124,126,126,128,129,130,130,132,132,131,132,131,132,131,130,130,128,128,126,126,124,125,123, 124,123,124,124,124,125,126,127,128,130,131,132,132,133,133,135,133,135,135,135,134,135,134,134, 133,134,132,133,132,132,131,132,131,130,131,129,130,130,129,130,129,129,130,130,130,130,130,130, 129,131,129,130,128,129,126,127,125,125,124,122,121,119,119,117,115,114,112,111,109,109,107,107, 107,105,106,106,105,106,106,107,108,108,110,110,112,113,112,114,112,114,113,114,113,114,114,113, 114,113,114,114,113,114,113,114,114,115,116,115,117,117,119,118,120,119,121,121,122,122,123,124, 124,125,125,125,124,126,125,126,125,126,126,125,126,126,126,127,126,128,128,128,129,130,129,131, 130,132,131,133,134,134,135,136,136,138,138,141,141,143,143,145,146,146,147,148,147,148,147,147, 145,145,144,143,142,140,140,138,139,137,138,138,136,137,137,136,137,135,136,136,135,136,135,136, 135,136,135,136,135,136,136,135,136,135,135,134,134,133,133,132,132,130,131,129,130,129,129,129, 128,128,127,127,126,127,127,126,127,126,127,127,128,128,127,128,127,128,128,128,129,128,128,127, 128,127,126,126,124,124,124,123,124,122,124,123,123,125,125,127,127,129,131,131,134,135,135,137, 136,138,137,139,138,139,138,139,137,138,137,136,136,136,135,135,133,134,132,132,131,131,131,129, 130,128,129,128,127,128,127,128,127,126,127,127,125,126,125,126,124,125,123,124,123,121,121,120, 120,119,117,118,116,116,114,114,113,112,111,111,111,111,111,112,112,111,112,113,112,113,112,113, 111,112,111,110,110,109,109,107,107,105,105,104,103,103,103,103,102,103,103,103,103,105,105,106, 108,108,110,111,111,114,114,116,118,118,120,121,122,122,124,125,124,126,125,127,126,128,127,128, 128,129,129,130,129,131,131,131,131,132,131,132,132,131,132,131,132,131,132,132,133,133,134,134, 136,136,137,137,138,138,139,138,139,138,139,138,139,139,139,140,139,140,140,140,141,141,143,142, 144,144,145,144,145,144,145,144,144,143,144,142,142,141,141,141,138,139,136,136,134,134,132,132, 132,130,130,128,129,127,128,126,127,125,126,125,126,124,125,124,125,124,125,124,125,126,125,126, 126,128,128,128,129,128,130,130,130,131,131,130,130,129,130,129,128,128,127,127,126,127,128,127, 129,128,130,130,132,132,132,134,133,135,134,136,136,135,135,135,134,135,133,134,134,133,134,132, 133,132,133,132,134,133,134,133,135,134,136,135,137,136,137,138,138,137,138,137,138,137,137,136, 135,134,133,131,130,129,127,125,124,121,121,119,116,116,114,113,112,112,110,110,109,110,110,110, 110,109,110,110,109,110,108,109,106,106,104,104,102,100,100, 98, 98, 96, 96, 95, 96, 95, 97, 98, 99,101,104,105,109,111,113,116,119,122,124,127,128,131,131,132,131,131,129,128,125,123,119,117, 114,110,108,104,103,100,100, 99, 98, 99,101,101,105,106,111,114,117,122,125,130,133,138,140,143, 145,148,148,150,150,151,150,148,147,146,143,142,139,138,135,134,133,131,131,130,129,130,130,132, 134,135,139,140,144,147,149,153,156,157,160,161,163,163,163,162,160,157,155,152,148,143,139,134, 131,126,123,118,117,115,112,112,110,112,113,113,117,118,123,125,130,132,136,139,143,145,148,151, 152,154,153,154,152,151,149,146,143,139,136,132,129,125,123,119,118,115,113,112,112,111,112,113, 114,116,118,120,122,125,127,130,132,136,138,141,142,144,145,144,144,143,142,141,139,137,135,133, 131,129,128,127,126,125,125,125,126,127,128,131,132,136,137,141,142,145,147,148,150,151,151,152, 150,150,148,144,142,139,134,131,126,123,118,115,112,109,106,103,102,100, 99,100, 99,101,102,103, 106,108,110,113,114,118,119,123,124,127,127,127,128,127,127,126,123,123,119,117,114,112,109,107, 105,102,101, 98, 98, 97, 98, 97, 98, 98,101,101,104,104,108,109,110,113,114,116,117,118,118,118, 117,117,115,115,112,111,108,107,105,104,101,101, 99,100,100,100,102,103,106,107,112,115,119,123, 127,130,133,137,140,144,146,147,149,149,149,147,147,144,143,140,137,133,131,127,126,124,121,120, 118,118,117,117,118,118,120,121,125,127,130,134,136,140,143,147,150,152,156,157,160,160,161,161, 159,158,155,153,150,147,144,140,138,134,132,128,127,126,124,124,125,125,125,127,128,131,132,135, 137,139,142,143,147,147,150,149,150,149,149,148,144,143,139,137,132,130,126,122,120,116,115,114, 112,112,112,113,115,116,119,122,124,127,129,133,135,139,141,145,147,148,151,152,152,153,151,151, 148,146,142,140,137,133,130,127,123,122,118,116,116,114,115,114,116,117,120,121,124,126,130,132, 135,139,141,145,146,149,151,151,152,151,149,149,145,144,140,138,134,132,127,125,122,120,117,117, 115,115,114,116,115,117,117,119,121,121,124,124,127,128,127,129,128,129,128,128,126,123,122,120, 117,113,111,107,105,102, 98, 97, 93, 92, 91, 90, 88, 89, 89, 89, 92, 92, 95, 97, 99,103,105,109, 111,114,118,119,122,123,125,126,126,126,124,125,123,122,120,118,117,114,113,111,109,107,106,105, 106,106,105,107,107,109,110,113,115,116,120,121,124,126,129,130,132,133,132,133,131,131,130,128, 127,125,124,122,122,120,121,120,121,121,122,124,125,129,131,134,137,141,143,148,151,155,158,162, 164,167,167,169,168,168,165,164,161,160,157,154,150,147,142,140,136,134,129,128,125,124,123,122, 123,122,123,123,125,126,128,130,130,133,134,137,138,140,141,141,141,139,139,136,136,133,132,129, 127,125,123,120,120,118,117,115,116,115,117,116,118,119,119,120,120,122,122,123,123,125,125,127, 126,127,125,125,123,123,121,120,118,117,114,114,112,109,109,106,106,106,107,108,110,112,115,118, 122,126,129,134,137,142,145,149,153,154,158,159,162,162,161,161,158,157,153,151,147,144,140,136, 133,129,127,123,122,120,117,117,115,116,115,116,115,117,118,118,120,120,122,123,126,127,129,130, 131,132,132,131,132,130,131,129,129,129,126,125,121,119,117,113,112,109,109,108,108,109,109,111, 113,116,119,121,125,126,130,132,132,133,133,133,130,129,125,122,117,114,109,106,101, 99, 96, 92, 91, 88, 88, 86, 87, 87, 89, 91, 93, 96, 99,100,104,106,109,112,114,118,121,126,130,133,136,138, 142,143,145,147,146,147,145,145,142,141,137,135,132,128,127,124,123,122,121,122,122,124,125,126, 128,129,132,135,137,139,142,143,147,149,149,151,151,152,150,150,147,146,144,141,138,135,131,129, 127,125,126,126,128,131,133,139,142,147,151,156,160,165,169,173,175,179,181,184,185,184,184,182, 180,177,173,170,165,160,153,148,141,136,130,123,119,114,111,108,106,106,105,107,108,111,114,117, 121,124,129,134,138,142,145,148,151,152,153,151,150,148,145,143,139,137,133,132,129,128,126,125, 123,123,121,121,119,119,119,117,118,118,117,118,118,120,121,124,127,129,132,133,135,134,135,132, 130,127,122,118,113,108,102, 98, 92, 88, 83, 79, 74, 72, 70, 69, 68, 71, 73, 78, 82, 90, 96,102, 110,117,124,130,136,139,144,147,148,150,148,148,144,142,137,134,128,125,120,114,111,105,102, 98, 93, 92, 89, 89, 88, 89, 89, 91, 94, 95, 97,100,102,105,107,108,110,112,112,113,112,113,112,113, 111,111,108,107,104,102, 98, 96, 93, 89, 87, 83, 82, 79, 78, 78, 76, 78, 79, 80, 84, 87, 90, 95, 99,105,109,114,119,123,128,130,134,135,136,135,135,134,131,129,126,124,121,120,119,117,118,118, 118,120,121,124,127,131,134,138,141,145,148,152,155,160,162,166,170,172,176,178,178,180,180,179, 179,177,176,174,172,168,166,161,159,155,152,149,146,144,143,142,141,143,143,146,148,152,154,157, 160,161,164,165,164,166,165,165,163,162,159,155,153,149,147,143,141,138,136,132,131,128,127,125, 125,123,124,124,123,125,125,127,129,131,132,134,134,137,137,139,139,139,138,137,134,133,129,128, 124,120,118,113,111,107,106,102,102,101, 99,100,100,103,105,108,111,116,121,124,130,134,140,144, 149,153,158,160,164,165,168,169,168,168,165,164,161,157,154,151,146,143,139,134,131,128,127,126, 124,125,125,127,128,128,130,130,131,130,130,130,128,128,126,126,124,125,123,123,121,122,122,120, 121,121,120,121,122,121,122,122,122,121,123,123,125,126,129,130,134,136,139,142,143,146,147,150, 151,151,153,152,150,149,145,142,137,132,126,121,116,112,109,105,102,100, 98, 97, 96, 94, 94, 93, 94, 93, 95, 96, 97,100,101,105,108,110,114,118,121,126,130,131,134,134,135,134,133,131,129,127, 124,123,122,120,121,120,121,120,121,122,121,122,122,124,123,125,124,125,124,124,122,121,118,116, 114,109,106,103, 97, 94, 88, 85, 80, 77, 73, 72, 69, 70, 68, 70, 69, 72, 73, 76, 78, 83, 86, 90, 97,101,109,115,121,128,133,139,145,148,153,154,157,158,160,160,160,160,158,158,155,152,149,145, 141,135,132,126,122,117,113,109,105,102, 99, 98, 97, 96, 96, 98, 98,101,103,103,106,106,108,107, 109,108,108,106,106,104,100, 98, 95, 91, 89, 88, 85, 85, 85, 87, 87, 90, 94, 96,102,106,111,117, 122,128,132,137,142,144,148,150,154,155,157,157,158,157,157,155,155,152,150,147,145,141,138,135, 131,129,125,124,121,120,118,118,118,118,119,121,123,127,130,136,140,146,150,157,160,166,168,172, 174,174,175,174,174,172,171,167,166,163,161,158,157,154,154,151,151,148,147,145,145,143,141,141, 140,139,139,138,139,138,138,137,136,135,133,132,129,128,124,122,117,114,111,106,104,100, 99, 97, 97, 95, 96, 96, 98, 98,102,104,106,110,112,117,121,124,128,131,135,137,141,142,145,147,146,148, 147,146,145,143,142,139,136,132,129,124,122,119,115,114,112,112,112,112,114,116,120,124,127,133, 136,141,144,148,150,153,153,155,155,156,157,157,157,158,158,158,159,159,160,160,160,159,160,158, 158,156,155,153,152,150,149,148,148,148,148,148,150,151,152,153,153,155,154,154,154,152,152,149, 148,145,143,139,136,131,129,125,124,122,122,121,122,123,123,126,126,130,131,134,136,139,141,145, 148,150,155,157,161,162,166,166,169,169,169,169,166,164,159,155,150,145,140,135,131,127,125,122, 121,118,118,117,115,114,114,112,113,112,112,111,113,113,115,116,116,119,118,120,119,121,120,121, 120,121,119,120,119,118,116,117,115,115,115,114,114,112,112,110,110,108,109,107,108,106,108,108, 109,109,109,108,108,107,105,102,100, 97, 94, 90, 87, 83, 80, 77, 75, 73, 70, 70, 69, 67, 68, 67, 69, 69, 72, 73, 77, 79, 84, 87, 92, 96,102,106,112,116,120,123,126,129,129,131,130,131,129,128, 124,122,117,114,109,106,101, 97, 94, 90, 86, 84, 81, 79, 77, 76, 76, 74, 75, 73, 73, 72, 71, 71, 69, 69, 69, 67, 68, 66, 67, 66, 67, 68, 69, 70, 70, 72, 72, 75, 75, 78, 81, 83, 87, 91, 94, 99, 102,108,112,117,123,127,133,138,144,150,155,160,164,166,170,171,171,172,170,169,165,162,157,154, 148,145,139,136,131,129,125,125,122,123,122,123,123,124,125,128,130,134,137,143,147,153,157,164, 168,174,178,182,186,189,192,193,194,194,194,193,192,189,188,185,184,183,180,180,177,177,176,174, 174,173,171,171,169,169,167,166,165,162,161,158,157,153,152,148,146,141,139,135,132,128,126,123, 118,117,113,112,109,109,108,107,109,108,111,112,116,118,124,129,135,141,147,154,159,165,169,173, 175,178,179,181,181,180,180,178,177,175,173,169,167,163,161,156,154,149,146,143,139,135,133,129, 129,126,127,128,128,131,133,137,139,144,145,149,150,153,153,155,155,154,154,153,152,149,148,145, 143,140,139,137,137,136,137,137,137,138,138,140,141,142,143,144,144,145,145,146,146,144,145,144, 142,141,138,138,134,133,128,125,121,115,110,104, 99, 93, 90, 85, 84, 82, 81, 82, 83, 85, 88, 92, 95, 99,104,107,110,115,118,123,125,130,134,136,140,142,145,146,147,146,146,143,142,138,136,131, 128,123,120,115,110,107,103,100, 96, 93, 90, 88, 85, 85, 85, 85, 85, 87, 89, 91, 94, 96, 99,101, 101,103,101,102, 99, 99, 96, 95, 91, 90, 87, 86, 83, 83, 82, 81, 81, 81, 82, 83, 82, 84, 86, 86, 89, 91, 94, 98,101,105,109,111,115,116,118,118,119,118,117,116,112,111,106,104,101, 97, 96, 92, 91, 90, 87, 87, 86, 87, 86, 87, 88, 90, 92, 94, 98,100,104,107,110,114,117,121,123,127,130,132, 135,136,136,138,137,138,137,134,133,129,127,124,120,117,113,110,105,103,100, 97, 96, 94, 94, 94, 94, 95, 96, 98,100,102,105,107,110,112,114,115,116,117,116,117,116,117,116,117,116,118,118,120, 122,124,128,131,136,140,143,148,151,156,159,164,167,172,174,179,181,184,186,189,189,191,191,189, 188,185,183,178,175,170,165,160,156,151,146,143,139,137,134,133,132,131,132,132,132,135,136,137, 140,141,145,147,151,152,156,157,160,161,164,165,166,167,167,168,166,167,165,164,162,161,158,156, 153,152,150,147,146,143,141,139,138,136,137,135,136,134,135,133,133,130,129,125,123,119,114,111, 106,104,100, 96, 95, 91, 91, 88, 88, 87, 88, 88, 90, 92, 93, 96, 99,103,108,111,118,123,131,137, 145,153,160,167,172,177,180,184,184,186,184,184,182,178,176,173,170,166,161,158,153,151,147,145, 141,140,138,137,136,134,134,132,133,131,132,131,132,131,132,132,132,133,132,134,133,135,135,137, 138,138,138,139,138,139,138,139,137,139,138,141,143,144,148,151,156,159,164,166,170,171,174,174, 175,174,174,173,171,168,166,162,159,155,152,147,143,138,133,128,123,117,113,107,104,100, 98, 96, 94, 95, 94, 96, 97,100,103,105,110,112,117,120,125,128,132,136,138,142,144,144,145,143,142,140, 137,135,131,129,126,122,120,116,115,113,111,111,110,108,108,105,105,103,102,100, 99, 97, 97, 95, 95, 94, 92, 90, 89, 85, 84, 81, 76, 74, 69, 67, 63, 59, 57, 56, 53, 53, 52, 54, 55, 56, 60, 63, 67, 71, 76, 81, 84, 90, 94,100,105,108,114,117,121,123,126,126,128,126,126,123,122,119,114,112, 107,102, 99, 93, 89, 83, 80, 76, 71, 69, 65, 64, 63, 63, 64, 65, 67, 68, 72, 73, 78, 80, 85, 87, 90, 93, 95, 97, 97, 99, 98, 99, 97, 97, 94, 94, 91, 91, 89, 89, 88, 88, 88, 89, 90, 92, 93, 96, 97,100,102,105,107,109,112,114,116,119,121,124,126,128,130,132,131,133,132,132,131,129,129,127, 126,125,124,122,122,122,122,125,126,130,133,136,140,144,150,153,159,163,168,172,178,181,187,191, 193,197,198,200,200,202,201,201,199,198,195,193,190,187,183,178,176,173,170,168,167,164,165,163, 164,163,165,165,168,169,172,174,175,178,180,181,182,181,181,180,178,176,173,171,168,167,164,163, 161,160,158,157,156,155,154,154,153,152,152,151,151,150,151,151,151,151,152,151,153,152,154,153, 151,151,149,145,142,139,134,132,128,124,123,120,118,118,117,116,117,118,119,122,124,126,130,132, 136,139,144,146,151,154,159,162,167,169,172,174,176,178,178,180,181,180,180,179,178,176,173,169, 166,161,157,151,147,142,137,134,130,128,126,125,125,125,125,125,125,125,125,124,124,124,122,122, 120,121,121,120,121,121,121,121,121,121,120,121,119,120,118,119,118,119,119,120,122,124,125,128, 131,132,135,136,136,137,137,137,137,134,134,130,129,125,120,117,112,108,102, 98, 93, 89, 84, 80, 76, 74, 71, 69, 69, 67, 68, 68, 68, 70, 71, 71, 73, 74, 77, 78, 82, 84, 88, 90, 94, 96,101,104, 105,109,111,111,113,113,113,112,112,111,109,109,107,107,105,105,102,102,100,100, 97, 96, 95, 92, 91, 88, 87, 85, 84, 82, 80, 79, 77, 77, 75, 73, 73, 71, 69, 69, 68, 68, 67, 69, 68, 70, 70, 73, 73, 76, 79, 81, 85, 88, 93, 98,103,107,114,118,125,129,135,138,144,147,149,152,153,152,153,151, 150,146,143,141,137,134,129,126,122,117,115,110,109,104,103,100, 99, 96, 96, 94, 94, 93, 92, 93, 92, 93, 92, 94, 93, 96, 97, 97,100,102,102,105,106,108,108,110,111,113,114,116,117,119,120,123, 125,128,130,134,137,141,144,149,151,155,157,160,161,164,165,167,166,167,167,165,165,162,162,159, 156,155,152,150,147,145,142,141,139,136,136,135,133,135,134,137,139,141,145,149,152,157,161,166, 171,175,180,185,187,192,194,195,198,197,198,196,195,192,190,187,184,182,178,176,172,170,166,164, 160,158,155,153,149,147,144,143,140,139,138,136,135,135,135,133,135,133,134,133,132,129,129,125, 124,120,118,116,114,113,112,111,112,112,113,114,114,116,117,120,122,123,125,126,129,130,133,134, 137,139,140,142,143,144,145,145,145,144,144,142,141,138,137,135,132,131,127,126,124,122,119,118, 116,117,116,119,120,124,128,132,137,142,146,152,155,160,161,164,165,166,166,165,166,165,165,164, 164,161,161,160,157,156,153,152,148,147,143,141,137,135,135,133,134,133,135,135,138,138,139,141, 140,142,141,142,141,139,139,137,136,135,134,132,131,130,128,127,125,124,123,122,121,121,121,122, 123,124,126,128,129,133,135,136,138,140,140,143,142,144,145,144,145,144,144,141,140,136,133,128, 125,118,114,108,104, 98, 94, 90, 85, 83, 80, 79, 77, 77, 78, 78, 80, 81, 84, 87, 88, 92, 94, 98, 101,104,106,109,111,112,114,114,115,114,114,112,111,110,107,106,102,101, 98, 96, 92, 91, 88, 87, 85, 85, 83, 83, 83, 83, 84, 85, 84, 86, 86, 88, 87, 88, 88, 87, 87, 87, 85, 84, 83, 81, 81, 79, 80, 78, 79, 78, 78, 79, 79, 80, 81, 82, 83, 84, 87, 89, 93, 95,100,102,107,110,113,117,120,122, 126,127,130,131,131,132,131,129,128,124,122,117,114,109,105, 98, 94, 88, 84, 79, 76, 72, 71, 68, 68, 67, 67, 68, 68, 70, 71, 74, 75, 79, 81, 84, 86, 91, 94, 97,101,104,107,111,113,117,119,123, 125,129,130,133,135,138,139,142,144,147,149,153,156,160,163,167,168,172,174,175,176,178,177,179, 177,177,175,174,171,169,165,163,159,157,154,150,149,146,146,145,145,144,145,146,146,149,150,152, 156,158,162,164,169,172,178,182,186,191,195,200,203,207,209,212,212,213,212,210,208,205,202,199, 194,192,187,184,180,178,175,170,169,164,163,159,157,153,152,150,147,146,144,143,142,142,141,140, 140,138,137,136,134,133,130,129,127,125,124,122,122,121,120,121,121,123,124,126,128,132,135,139, 143,148,154,158,164,167,172,174,177,176,177,176,174,172,168,166,162,160,156,153,151,148,146,144, 142,140,137,133,131,128,126,123,123,121,122,122,122,125,127,128,131,132,136,137,140,141,141,142, 141,142,140,141,140,141,139,140,139,139,138,137,137,135,135,132,132,130,130,128,128,128,128,128, 128,127,128,126,127,126,126,124,124,121,121,119,116,114,111,109,105,103, 99, 96, 92, 89, 85, 83, 80, 77, 77, 75, 77, 77, 80, 81, 84, 88, 91, 96, 99,103,106,109,110,113,114,116,117,117,116,116, 115,113,112,109,107,105,100, 98, 94, 92, 88, 85, 83, 80, 79, 77, 77, 76, 76, 75, 77, 76, 79, 79, 82, 83, 85, 86, 89, 90, 91, 92, 91, 92, 90, 91, 90, 88, 88, 85, 85, 83, 83, 81, 82, 82, 81, 82, 81, 83, 84, 84, 86, 87, 90, 91, 95, 97,101,103,106,108,111,113,116,116,119,119,121,120,121,119, 119,116,115,113,112,109,107,105,102,101, 99, 99, 98, 96, 98, 99,100,103,105,109,113,115,120,124, 128,131,134,136,139,140,141,142,141,141,139,138,137,134,133,130,128,125,122,120,116,114,110,108, 104,103,100,100, 99,100,101,102,105,106,110,112,117,120,122,126,129,130,134,135,138,139,141,142, 142,144,144,146,146,148,149,149,151,152,155,156,158,159,162,164,165,169,170,173,174,177,178,180, 182,182,184,184,185,185,185,184,184,182,181,178,176,173,168,166,161,158,154,152,148,147,145,145, 145,144,146,148,149,151,152,154,157,158,160,161,164,164,167,169,170,172,172,173,174,173,172,172, 169,168,166,162,160,155,152,149,145,141,139,137,134,132,130,128,125,124,122,122,121,119,119,118, 118,116,115,112,111,108,107,104,103,100, 99, 97, 97, 97, 98,100,102,103,107,109,112,114,117,118, 122,124,126,129,132,136,139,144,149,152,158,162,167,169,173,176,176,177,175,175,171,170,166,164, 160,158,155,151,149,146,142,140,136,134,131,127,126,123,123,121,122,122,122,124,124,126,127,130, 131,133,134,136,138,138,141,141,143,143,146,146,147,148,147,149,148,149,147,149,149,148,150,149, 151,152,151,153,152,153,153,153,152,149,148,145,141,139,134,132,127,124,120,118,115,112,108,106, 103,102, 98, 96, 95, 93, 92, 90, 91, 90, 90, 91, 91, 93, 94, 97, 99,100,104,106,108,112,113,116, 117,120,121,123,122,124,123,124,123,123,121,120,117,117,115,112,111,108,106,103,101, 99, 96, 94, 91, 90, 87, 86, 83, 83, 81, 80, 80, 78, 77, 77, 75, 75, 74, 74, 73, 72, 72, 72, 71, 72, 71, 73, 73, 75, 76, 79, 81, 83, 85, 89, 91, 95, 99,101,106,108,113,115,119,120,123,123,125,124,125,123, 123,120,120,116,116,112,111,107,106,104,101,100, 96, 95, 92, 91, 88, 87, 85, 83, 82, 80, 80, 79, 80, 80, 82, 82, 85, 87, 88, 91, 91, 94, 95, 95, 96, 97, 97, 98, 98, 97, 99, 98,100,101,100,102, 102,103,105,106,108,110,110,113,113,116,118,120,122,123,124,127,129,130,133,133,136,136,138,138, 140,141,141,143,143,145,144,145,143,144,143,144,142,144,143,145,145,147,149,151,155,158,163,166, 169,174,177,179,183,185,186,189,190,191,193,192,193,192,193,191,192,191,188,188,185,184,180,178, 175,171,170,167,166,165,165,163,164,164,163,164,163,164,165,164,166,165,166,166,166,165,166,164, 164,163,161,161,159,158,156,156,155,154,154,153,154,154,152,152,149,149,146,145,143,140,139,136, 136,135,134,134,135,136,137,139,139,140,140,140,139,139,137,134,133,130,129,127,126,126,124,126, 125,128,129,131,131,134,135,139,140,143,145,149,151,155,159,161,165,167,170,171,174,174,173,173, 172,169,168,165,163,159,156,152,150,145,142,139,134,132,128,127,124,121,121,119,119,119,118,119, 119,120,120,121,121,121,120,121,120,121,121,120,121,121,122,123,123,126,125,127,126,127,125,126, 125,125,124,122,123,122,121,121,120,121,120,121,122,120,122,120,121,120,119,116,115,112,110,107, 104,100, 98, 93, 89, 86, 83, 79, 76, 73, 71, 69, 67, 67, 65, 66, 65, 67, 67, 69, 70, 74, 76, 80, 82, 87, 90, 95, 98,102,105,109,112,113,116,116,117,117,117,115,114,112,108,107,103,102, 98, 95, 93, 89, 87, 84, 82, 79, 78, 76, 75, 74, 74, 74, 73, 74, 74, 73, 74, 75, 74, 76, 76, 78, 78, 80, 82, 84, 84, 88, 89, 92, 93, 96, 96,100,102,104,107,109,112,115,116,120,122,126,129,131,136,138, 143,145,149,150,152,152,153,152,151,149,146,144,140,138,134,131,127,123,120,116,111,109,105,102, 100, 96, 95, 92, 92, 89, 90, 88, 90, 90, 91, 93, 96, 97,101,103,107,109,114,117,121,125,127,132, 134,138,139,141,144,145,147,147,148,150,149,151,151,154,154,157,158,160,162,162,164,163,164,163, 164,162,162,161,159,158,156,154,154,152,151,152,150,150,149,148,147,146,145,144,143,145,144,147, 147,150,153,155,160,163,166,171,175,177,181,183,186,186,189,190,190,192,192,191,191,190,187,186, 183,181,178,174,172,168,165,161,159,155,152,148,146,141,139,135,131,129,126,125,123,123,122,122, 123,122,123,124,124,125,123,123,121,120,117,116,113,111,110,108,109,109,110,110,113,114,117,120, 122,124,126,126,128,130,130,132,132,133,134,134,136,136,136,136,135,135,133,132,130,130,127,127, 124,125,122,123,120,122,121,122,121,123,123,125,125,127,127,130,132,133,136,137,141,142,145,146, 149,149,149,151,150,152,152,151,152,151,152,151,151,151,149,149,146,146,143,142,139,139,136,136, 134,134,133,134,135,134,137,136,139,139,141,140,141,140,140,139,139,138,135,135,132,132,129,129, 126,127,125,125,124,126,126,126,128,129,132,133,134,136,136,138,138,140,140,141,140,141,139,139, 137,136,134,132,129,127,124,119,117,113,109,107,102,100, 96, 95, 94, 93, 92, 90, 91, 91, 91, 93, 93, 96, 96, 99,100,103,105,106,108,110,110,112,112,113,113,114,112,113,112,111,110,108,107,105, 102,100, 98, 96, 95, 93, 90, 90, 89, 88, 87, 87, 86, 87, 86, 88, 89, 90, 92, 92, 95, 96, 97, 97, 97, 97, 97, 95, 94, 92, 92, 90, 90, 89, 89, 89, 88, 90, 89, 92, 92, 95, 96, 99,102,103,106,108, 111,113,116,118,120,122,123,125,126,127,127,126,126,123,123,119,117,113,110,105,101, 96, 93, 87, 84, 79, 77, 72, 70, 67, 67, 65, 66, 66, 67, 70, 71, 75, 78, 81, 83, 87, 90, 94, 97, 99,103,106, 108,111,114,118,122,124,129,131,135,138,139,143,143,147,146,149,148,150,150,152,153,154,154,156, 157,159,159,161,161,160,161,159,160,158,158,156,156,155,154,153,152,150,150,150,147,148,146,147, 146,147,146,149,150,151,154,156,159,161,165,167,172,174,178,181,185,188,191,193,197,198,201,203, 202,203,202,199,197,193,190,184,181,176,173,168,166,163,160,159,158,156,154,153,150,149,147,143, 141,137,135,131,130,127,127,125,126,124,126,126,125,127,126,128,127,129,130,130,132,133,135,137, 138,140,143,145,147,150,152,153,156,157,160,160,163,163,165,166,166,167,167,168,166,166,164,164, 161,160,157,155,154,151,149,147,144,142,138,137,133,132,129,128,126,125,123,123,122,124,125,126, 129,131,134,136,138,139,142,142,144,143,144,143,144,144,142,143,141,141,140,140,140,139,139,138, 139,138,137,138,136,136,134,134,132,130,128,126,124,122,120,117,116,113,110,109,106,105,103,102, 99, 99, 96, 96, 94, 94, 92, 92, 92, 91, 91, 92, 92, 93, 93, 95, 97, 97,100,100,103,104,104,106, 107,107,109,108,110,110,109,110,110,108,108,107,106,105,104,102,101, 99, 98, 95, 94, 92, 90, 89, 86, 86, 85, 83, 83, 82, 82, 80, 81, 80, 80, 80, 80, 81, 80, 82, 81, 83, 83, 82, 84, 83, 84, 84, 83, 85, 84, 86, 86, 88, 89, 90, 93, 95, 98,100,103,105,107,109,110,111,113,113,114,115,115,116, 116,117,117,116,118,117,118,118,117,118,116,116,115,113,113,111,111,110,110,110,109,110,109,111, 111,111,114,114,116,117,120,120,123,124,124,126,126,127,126,126,125,125,124,122,122,120,120,118, 118,117,117,116,116,116,114,115,113,114,112,112,110,111,111,112,113,115,116,119,121,125,128,129, 132,134,135,138,138,140,141,143,144,147,147,150,150,153,154,154,156,157,157,159,160,161,161,163, 163,165,166,166,169,169,171,171,173,172,173,173,172,173,172,173,171,172,170,170,168,166,164,161, 159,157,153,152,149,147,146,145,146,145,147,147,150,150,152,152,153,153,152,152,151,151,151,151, 151,152,152,154,155,157,157,158,158,157,157,154,152,149,146,143,138,136,131,129,125,123,119,118, 116,113,113,110,110,108,107,106,105,106,105,106,106,108,108,108,110,110,111,112,111,113,112,114, 114,116,117,118,121,122,125,128,129,132,134,137,139,143,144,148,150,154,155,158,160,162,163,165, 165,165,164,164,162,160,157,154,150,149,146,144,140,137,136,133,132,129,129,127,125,125,124,123, 123,122,123,123,123,124,124,126,127,130,131,134,136,140,142,146,148,152,153,157,157,160,159,161, 161,160,160,158,156,156,153,153,150,150,148,147,145,144,144,141,141,139,139,137,137,135,134,133, 132,130,128,128,126,124,122,119,118,116,114,112,110,108,107,105,104,102,103,101,103,104,105,107, 109,111,113,116,118,121,124,126,128,130,132,134,135,137,136,137,136,135,134,131,129,126,124,120, 117,114,110,108,103,101, 98, 94, 91, 87, 85, 81, 79, 76, 75, 73, 72, 71, 71, 71, 72, 73, 74, 77, 78, 82, 83, 87, 88, 91, 92, 93, 95, 96, 97, 98,100,100,102,101,104,104,105,105,108,107,109,110, 110,112,112,113,113,115,114,115,114,115,114,113,113,111,110,108,105,104,100, 99, 97, 95, 91, 90, 87, 84, 82, 79, 77, 75, 73, 70, 69, 67, 68, 68, 68, 70, 72, 74, 77, 81, 83, 87, 90, 93, 95, 97, 97,100,101,104,104,107,108,111,112,113,115,115,117,117,119,118,120,119,120,120,120,121,121,123, 123,125,126,128,128,130,130,132,131,133,134,134,136,137,138,138,139,140,140,141,142,143,142,144, 145,145,148,149,152,155,157,161,164,166,170,171,174,174,177,176,178,177,179,179,181,183,184,185, 186,187,186,187,186,185,183,179,177,173,170,165,163,160,156,155,152,152,152,150,152,151,153,153, 153,154,155,154,156,156,156,158,157,159,159,158,159,158,158,156,156,154,153,151,151,148,148,146, 146,145,143,144,142,143,142,142,142,140,141,141,140,141,140,141,142,142,142,142,142,141,141,140, 139,138,138,137,138,138,137,139,139,141,141,144,145,147,148,149,151,151,153,153,155,154,157,156, 158,159,159,161,162,162,164,164,165,165,165,163,163,160,158,155,153,150,145,143,138,136,131,129, 126,123,122,120,120,118,120,118,120,120,122,122,124,124,124,126,126,127,128,128,130,130,131,130, 130,130,128,129,128,127,127,126,126,124,125,124,122,122,121,121,121,121,120,120,119,119,118,117, 115,114,112,111,108,107,105,103, 99, 98, 94, 93, 89, 88, 84, 84, 81, 79, 78, 77, 76, 75, 76, 76, 78, 79, 82, 84, 86, 87, 91, 92, 96, 97,101,102,105,107,109,111,112,114,115,115,114,115,114,112, 111,108,105,102, 99, 95, 92, 89, 85, 83, 80, 79, 76, 76, 75, 75, 74, 75, 75, 76, 76, 78, 79, 80, 82, 82, 84, 85, 86, 88, 89, 91, 92, 93, 95, 95, 98, 99,100,103,104,107,108,110,113,114,118,119, 122,124,125,127,129,131,132,134,137,137,140,140,143,142,143,142,139,138,135,131,128,123,120,115, 112,107,105,101, 99, 96, 94, 92, 90, 89, 87, 86, 85, 85, 84, 86, 87, 87, 91, 93, 96,100,104,107, 112,115,118,123,126,130,133,135,139,140,144,146,147,150,151,152,153,153,154,154,155,154,155,154, 156,155,156,155,156,155,156,155,153,153,151,150,148,148,147,147,147,147,147,149,149,150,151,151, 152,152,151,152,150,151,150,150,150,152,153,157,159,163,166,170,173,177,179,182,183,184,184,184, 184,182,183,181,180,178,177,175,172,171,167,166,162,160,155,153,150,147,143,140,136,135,131,130, 127,125,123,121,120,116,116,114,115,114,113,114,114,115,115,117,117,117,118,118,119,121,120,122, 123,123,125,125,127,127,130,131,132,132,134,133,134,134,134,135,135,135,136,136,137,137,138,140, 139,141,142,142,142,142,140,140,138,138,135,135,132,132,129,129,128,128,128,129,129,130,131,133, 135,137,138,141,143,146,147,148,150,150,152,151,153,152,154,153,154,153,154,152,153,153,152,151, 152,151,151,149,149,147,147,145,145,143,143,141,139,139,138,137,136,136,134,135,133,133,132,132, 131,130,131,131,130,131,131,132,132,133,133,133,132,133,132,133,134,134,133,134,133,133,133,132, 132,131,130,130,129,128,128,126,126,124,124,123,122,122,120,119,118,116,115,113,111,110,107,106, 103,103,100,101,100, 99,100, 99,100, 99,101,100,102,102,102,101,102,101,101,100,100, 99,100,100, 98, 99, 99, 98, 99, 98, 99,100, 98,100, 98, 99, 97, 98, 97, 97, 96, 96, 96, 94, 95, 93, 94, 92, 92, 91, 91, 90, 91, 90, 92, 92, 92, 93, 93, 92, 93, 92, 93, 93, 91, 92, 92, 93, 94, 95, 97, 97, 100,103,104,106,108,108,109,108,110,108,108,108,107,106,107,105,106,104,104,104,102,102, 99, 99, 96, 94, 92, 90, 88, 86, 84, 83, 80, 80, 78, 78, 77, 76, 76, 76, 75, 76, 76, 77, 79, 81, 83, 87, 90, 92, 96, 98,103,105,109,112,114,118,121,124,128,131,135,138,141,144,145,149,149,151,150,151, 149,150,148,149,149,149,150,149,152,152,154,154,157,157,158,157,156,155,153,153,152,150,150,148, 149,148,150,151,152,154,155,155,157,158,160,160,161,162,163,164,164,166,167,169,171,171,174,174, 177,177,180,180,183,183,185,185,186,187,186,187,185,185,182,181,178,174,172,168,165,161,159,155, 152,149,145,143,140,137,134,133,130,129,127,126,125,125,125,126,126,129,130,132,134,136,136,139, 141,141,143,143,145,144,146,145,147,147,150,150,153,154,156,156,159,159,162,164,164,166,166,168, 168,166,166,165,164,162,161,158,157,156,154,153,151,149,147,145,145,143,142,140,139,137,135,134, 133,130,131,129,128,128,128,129,129,131,133,134,136,137,141,143,145,147,148,150,152,152,154,154, 155,155,156,155,154,152,152,149,148,145,143,141,138,134,133,129,128,125,124,120,120,117,117,114, 114,111,112,109,110,107,108,106,106,106,105,104,103,102,102,100,100, 99, 96, 97, 95, 95, 94, 95, 96, 95, 97, 97, 99, 99,102,103,105,106,106,108,107,109,108,109,109,109,109,109,107,108,105,106, 103,103,100, 98, 96, 92, 90, 87, 83, 82, 78, 76, 73, 72, 69, 68, 67, 65, 66, 64, 65, 66, 67, 69, 71, 72, 75, 77, 80, 82, 85, 87, 90, 92, 92, 95, 95, 97, 98, 99,101,102,104,105,107,109,110,111, 111,111,111,112,111,111,111,109,111,110,112,113,113,115,115,117,117,118,118,117,117,116,116,114, 113,111,111,109,109,107,108,106,107,105,106,106,105,106,105,107,106,108,109,111,112,112,115,115, 117,118,118,119,118,120,120,119,120,120,121,120,121,121,121,120,120,120,118,118,117,117,117,116, 118,118,121,123,126,128,131,133,136,139,139,141,142,142,143,143,144,144,145,147,148,150,152,155, 156,159,160,162,162,162,163,163,163,162,163,162,163,163,163,165,165,167,168,170,170,172,172,173, 172,174,173,172,172,171,170,169,166,165,162,159,158,154,153,150,150,147,146,147,147,147,148,148, 150,150,152,152,153,154,154,155,157,156,157,157,157,157,156,154,155,152,152,149,148,145,143,139, 137,135,131,130,127,126,124,123,121,120,119,117,117,115,116,115,114,114,113,114,113,112,113,112, 114,113,115,115,117,119,120,121,123,124,127,129,130,132,133,135,136,136,138,138,140,141,141,143, 143,145,146,148,148,151,151,153,153,155,155,154,153,151,150,147,146,142,140,137,135,132,130,127, 125,124,122,122,121,119,120,120,121,121,123,124,127,128,131,134,136,138,141,142,145,146,149,150, 150,152,151,153,152,153,153,151,152,150,150,148,148,147,146,145,144,142,142,140,140,138,139,138, 137,137,136,134,133,131,130,127,126,124,122,121,117,117,114,113,112,109,109,107,107,105,105,104, 105,103,104,103,105,105,107,108,109,112,114,116,119,120,124,125,128,128,130,130,131,131,129,130, 127,126,123,121,116,114,110,106,101, 98, 94, 91, 87, 86, 84, 82, 80, 79, 77, 78, 76, 77, 77, 75, 76, 76, 78, 79, 80, 82, 84, 87, 88, 92, 94, 96, 98, 99,102,103,102,104,104,104,105,105,107,106, 109,109,112,113,113,116,116,118,119,120,120,121,121,122,121,122,120,120,118,117,115,113,110,108, 104,102, 98, 96, 93, 91, 89, 86, 85, 82, 82, 81, 79, 79, 77, 77, 76, 77, 76, 78, 79, 80, 84, 86, 88, 92, 95, 99,101,105,107,110,111,113,114,116,117,118,120,121,123,125,126,127,129,129,130,130, 129,130,128,127,126,124,125,123,124,123,125,125,127,129,129,132,132,134,134,137,136,138,137,139, 140,139,141,142,141,143,143,146,146,149,150,151,155,156,160,162,166,167,171,173,175,176,178,179, 180,179,180,179,180,178,178,176,176,174,173,171,171,169,169,167,164,164,161,159,158,155,155,153, 152,152,151,149,150,148,149,149,148,149,148,149,149,150,150,149,150,150,151,151,152,152,152,154, 153,155,154,155,154,155,155,154,153,151,151,149,149,146,146,144,144,142,143,142,143,143,143,142, 144,143,145,144,145,145,144,144,142,142,141,140,139,139,137,138,137,138,138,140,140,142,142,144, 146,146,148,149,150,152,152,154,153,155,154,155,154,155,154,154,153,152,151,150,148,146,145,143, 142,140,140,138,138,136,135,133,132,131,129,129,128,125,125,123,124,123,123,122,123,122,124,123, 124,124,124,123,124,123,124,122,124,123,124,123,125,124,125,124,125,125,124,124,122,122,121,119, 118,116,116,113,113,111,111,110,108,107,105,104,102,101, 99, 96, 95, 94, 91, 91, 88, 88, 86, 86, 84, 85, 83, 85, 85, 84, 86, 86, 87, 89, 89, 92, 92, 94, 95, 96, 96, 98, 97, 98, 98, 97, 98, 98, 97, 98, 97, 99, 98, 99, 99, 98, 98, 97, 97, 95, 94, 92, 91, 89, 88, 87, 87, 85, 86, 85, 86, 85, 86, 86, 87, 86, 87, 87, 87, 88, 88, 90, 89, 92, 92, 94, 95, 96, 99,101,101,104,105,109,109,113, 114,117,118,122,123,126,127,130,131,131,133,133,134,133,134,134,134,132,133,132,132,131,131,129, 129,126,125,123,119,118,114,113,110,110,107,107,105,106,105,104,105,104,106,105,106,106,106,107, 107,108,110,111,114,116,119,123,126,130,133,137,139,142,145,146,149,149,151,152,151,153,153,155, 155,155,156,156,155,156,155,156,155,155,154,155,153,153,152,150,150,149,149,148,146,146,145,145, 144,145,144,146,145,148,148,150,151,153,154,155,155,157,158,159,160,160,161,161,163,163,165,165, 167,167,169,169,171,170,171,171,172,170,171,170,168,168,166,165,162,161,158,156,154,150,148,144, 142,139,135,133,130,128,124,123,120,119,117,117,116,116,115,116,115,117,117,117,119,119,121,120, 122,122,123,123,124,125,124,126,126,128,127,130,131,131,133,133,135,136,136,138,137,138,137,137, 136,136,134,134,134,132,133,131,132,130,131,129,130,129,130,129,129,129,129,129,129,128,129,129, 128,129,128,128,128,128,128,128,128,129,129,130,131,133,134,137,138,139,142,143,145,146,146,148, 148,149,148,149,149,148,149,147,148,146,145,143,143,140,139,136,136,133,132,130,129,127,126,124, 125,125,124,125,124,125,124,125,124,125,124,125,124,125,125,126,126,126,127,128,127,129,128,129, 129,128,129,128,129,128,127,127,127,125,125,123,124,122,122,120,121,120,118,119,117,118,118,118, 118,117,118,118,115,116,114,112,111,108,106,103,102,100, 99, 97, 96, 96, 95, 96, 96, 95, 96, 96, 95, 96, 97, 96, 97, 97, 99, 99,101,102,104,105,107,107,109,109,111,112,112,112,111,112,111,112, 110,110,110,109,108,106,107,106,104,104,103,103,103,104,104,104,106,106,107,107,109,108,110,110, 109,110,109,110,109,110,109,110,111,110,112,111,113,112,112,112,110,110,108,108,107,105,106,104, 105,104,104,104,105,104,105,104,105,103,103,102, 99, 99, 96, 96, 94, 95, 94, 95, 94, 95, 96, 96, 98, 98,100,101,103,103,106,106,108,108,111,112,113,116,117,120,122,123,126,127,130,133,134,137, 139,140,142,145,144,147,146,148,147,149,147,148,148,147,148,147,148,147,149,148,150,151,151,151, 153,153,152,153,153,154,154,153,154,154,154,154,155,155,154,155,154,156,156,156,157,158,157,159, 158,160,160,161,162,164,164,166,168,168,169,170,170,171,170,170,170,168,168,167,165,164,161,159, 157,156,154,151,150,147,147,144,144,141,141,139,138,138,136,136,134,133,132,131,130,130,129,130, 129,131,131,133,134,135,137,138,140,142,143,144,146,146,148,149,149,151,151,151,152,152,151,152, 151,152,152,152,152,152,152,151,152,151,152,152,150,151,148,148,146,146,144,143,140,139,136,136, 134,132,131,129,129,129,129,128,128,127,128,129,128,130,130,131,133,132,135,136,137,139,139,141, 141,143,143,144,143,144,143,143,141,142,140,140,138,138,135,135,134,131,131,128,127,125,123,121, 119,118,115,115,114,111,111,108,108,107,106,105,103,104,102,103,101,102,101,101,101,101,100, 99, 100, 98, 99, 98, 97, 97, 96, 97, 96, 98, 98,100,101,103,104,107,107,110,109,111,110,111,110,109, 109,106,106,105,103,101,101, 98, 98, 95, 94, 93, 90, 90, 88, 86, 85, 83, 83, 82, 81, 79, 80, 79, 81, 81, 81, 83, 83, 85, 87, 87, 90, 91, 94, 95, 98, 99,102,104,106,107,108,111,112,113,114,115, 115,117,117,120,120,122,123,123,124,124,125,124,125,125,125,123,124,122,123,122,123,121,123,122, 123,123,123,121,122,120,119,118,115,115,114,113,113,113,112,114,113,115,116,116,118,118,120,120, 122,122,123,124,124,124,125,126,126,127,127,129,130,129,131,131,132,132,133,134,133,134,133,134, 134,133,134,134,133,133,132,133,132,133,133,134,134,136,136,138,138,140,140,142,141,143,143,144, 145,145,146,147,147,148,148,150,150,153,153,155,157,157,159,160,162,162,164,164,165,165,166,165, 167,166,167,166,166,164,165,163,163,162,160,160,158,158,157,156,155,154,152,152,150,150,149,149, 148,148,146,147,145,145,145,143,144,143,143,141,142,140,141,139,140,139,139,139,138,137,137,139, 137,138,137,137,135,136,133,133,130,130,127,126,125,123,121,120,118,118,117,117,116,116,116,115, 114,115,114,116,116,115,117,116,117,118,118,118,119,119,118,120,120,122,122,123,125,126,126,129, 129,132,133,134,134,136,136,138,137,138,137,138,137,137,136,137,135,136,134,135,133,134,132,132, 131,130,130,130,130,130,128,130,128,129,130,129,130,130,130,130,130,130,129,129,130,129,131,130, 130,131,131,132,134,134,136,136,138,139,138,140,139,141,140,141,140,142,141,141,139,140,139,138, 137,135,134,133,132,130,130,129,129,128,128,127,125,125,122,122,120,117,117,114,113,111,111,110, 109,110,109,111,110,112,113,114,114,116,115,117,117,116,118,117,119,118,119,118,120,118,120,118, 119,117,118,116,116,114,114,113,111,111,109,109,107,107,105,105,102,102,101, 99, 99, 99, 98, 98, 97, 98, 97, 98, 99, 98, 99, 98,100,100, 99,100,100,101,102,102,104,105,108,110,110,114,114,117, 117,120,119,122,121,123,123,124,125,126,126,127,127,128,127,128,128,127,127,125,123,122,120,118, 116,115,112,112,110,109,108,107,107,105,105,104,104,103,102,101,101,100,100, 98, 99, 98, 97, 98, 98, 98, 99,100,102,102,104,105,107,107,111,111,113,116,117,119,119,122,121,124,124,124,126,126, 127,127,129,130,129,131,130,132,131,132,132,130,131,129,130,128,129,128,127,128,128,128,128,129, 128,129,131,131,133,134,136,138,138,141,141,145,145,149,150,151,154,156,157,157,159,159,161,160, 162,161,163,163,163,163,163,161,162,161,161,161,160,161,160,159,160,159,160,158,159,157,157,155, 155,153,152,150,149,146,146,143,143,142,140,140,140,139,140,138,140,138,140,138,140,139,140,139, 140,139,140,140,141,141,142,143,143,144,144,143,144,144,145,145,144,145,144,145,144,143,143,143, 142,141,140,139,137,137,135,135,133,134,133,133,132,134,133,135,134,136,135,137,137,139,139,139, 138,140,139,140,139,140,140,141,140,141,140,140,140,140,139,140,139,139,139,140,139,140,140,140, 141,140,142,141,142,142,141,142,140,140,140,139,139,138,136,136,134,134,131,131,129,128,127,125, 123,123,121,121,120,120,119,119,119,118,118,117,118,118,116,118,117,118,119,119,120,120,122,122, 123,122,123,123,122,121,119,116,116,113,112,109,108,106,104,103,103,101,101, 99,100,100, 98, 99, 98, 99, 98, 99, 97, 99, 98, 99, 98, 99, 98, 99, 99, 98, 98, 97, 98, 97, 98, 97, 96, 97, 95, 96, 96, 96, 95, 96, 95, 96, 96, 95, 96, 96, 97, 97, 98, 99,100,102,102,104,104,106,105,107,105,107, 105,106,105,106,104,106,105,106,106,107,108,107,108,108,108,106,108,106,107,107,107,109,109,112, 113,114,117,120,120,124,124,127,129,130,130,132,131,132,131,132,132,130,132,130,131,129,130,128, 128,126,127,125,126,125,123,124,123,122,122,122,121,120,120,119,120,119,120,119,120,120,121,121, 122,122,124,124,124,125,126,124,126,125,127,126,129,129,129,131,132,134,135,137,139,140,142,143, 145,146,148,148,150,151,150,152,152,151,152,151,152,152,151,150,150,148,149,148,146,146,145,146, 146,144,145,144,145,144,146,145,147,146,148,147,149,150,149,151,151,153,152,154,154,154,155,155, 155,155,156,155,157,156,156,157,157,156,157,156,157,155,155,153,153,150,149,147,147,145,144,142, 141,139,139,137,137,135,135,133,133,131,130,128,127,126,123,123,122,119,119,116,117,115,114,113, 113,112,112,113,113,113,115,116,116,119,119,122,122,125,126,126,128,128,129,129,128,130,129,130, 129,129,130,128,129,127,128,127,128,126,127,125,126,125,125,124,125,125,124,126,124,126,125,124, 125,124,124,124,124,124,123,124,123,124,124,125,125,127,127,128,128,130,130,131,131,132,134,133, 135,134,136,136,136,137,136,138,138,137,138,137,137,137,137,137,138,138,138,137,138,137,136,135, 134,131,131,128,128,126,124,123,122,122,122,122,122,122,123,123,124,124,125,126,125,126,125,127, 126,128,127,129,129,129,130,130,129,130,129,129,130,128,129,128,129,127,128,126,127,126,125,125, 124,124,123,121,121,119,120,118,118,117,117,116,116,115,115,113,113,111,111,109,109,107,107,106, 105,105,104,105,105,106,105,107,107,107,108,108,108,109,109,109,110,110,112,114,114,117,118,119, 121,122,123,124,123,124,123,124,123,123,122,122,121,121,121,121,121,119,120,118,119,118,118,117, 117,117,115,116,115,115,115,114,115,114,115,115,116,116,115,116,116,117,116,117,116,117,117,116, 116,115,115,114,112,112,111,111,110,108,109,108,109,109,108,109,108,110,109,110,109,111,110,111, 110,112,111,112,112,113,114,113,115,114,116,116,116,117,117,118,119,118,120,119,121,121,122,122, 124,124,126,127,128,129,131,132,133,135,135,138,137,140,141,141,143,144,144,145,145,147,146,148, 147,148,148,149,148,149,148,149,148,148,147,148,147,147,146,145,146,145,146,147,146,148,148,148, 150,150,151,152,151,152,152,152,151,151,152,150,151,149,150,149,149,148,149,147,148,146,147,146, 147,146,146,146,146,146,145,145,143,144,142,142,140,141,140,138,138,136,137,135,134,134,133,133, 132,132,131,132,131,131,130,130,130,130,129,130,129,131,130,131,133,133,135,135,137,137,139,140, 139,142,141,143,143,144,144,145,144,145,144,144,144,142,142,140,140,139,137,137,134,135,133,132, 132,131,131,131,129,130,129,130,129,131,130,132,131,133,133,134,134,135,135,135,135,135,134,134, 133,134,134,132,133,133,133,134,133,134,133,135,134,133,133,132,132,130,130,129,129,128,128,126, 127,125,126,125,124,124,123,121,121,119,119,118,115,115,113,111,111,108,108,107,106,105,104,103, 103,103,102,102,103,102,104,104,106,106,108,109,109,110,110,111,112,111,112,110,112,110,110,111, 110,110,109,108,107,106,104,104,101,101, 99,100, 98, 99, 97, 99, 97, 99, 99, 99,100,100,101,102, 100,102,100,101,100,101,100,101,101,102,102,103,103,105,105,107,108,109,109,111,111,111,113,114, 116,117,117,120,120,123,123,126,126,128,128,130,130,131,131,132,131,132,131,131,130,130,128,127, 127,125,125,123,123,122,122,121,121,120,121,120,121,122,122,122,121,123,122,124,123,125,125,126, 126,127,127,128,128,129,130,129,130,130,129,130,130,129,128,129,128,129,129,130,129,131,131,133, 132,134,134,136,136,138,138,140,139,141,142,142,142,141,142,141,142,140,140,138,139,138,138,136, 137,137,137,136,137,136,138,138,139,139,141,142,143,146,146,149,149,153,154,156,156,158,158,159, 158,159,158,158,157,157,156,156,155,154,154,151,152,151,151,149,149,147,148,147,145,146,144,144, 144,142,142,142,141,140,139,139,139,138,136,137,135,136,135,134,134,133,133,131,132,130,130,127, 128,125,126,123,124,123,121,122,121,121,121,121,121,122,121,123,122,123,122,123,122,123,121,122, 121,119,120,118,118,116,117,114,115,113,113,111,111,110,111,110,111,112,112,114,113,116,117,119, 119,120,122,123,125,125,127,127,128,128,129,129,130,130,129,129,128,129,128,128,128,127,126,128, 128,127,128,128,130,129,131,131,130,132,130,131,130,131,130,131,130,131,130,132,131,132,132,132, 132,132,132,132,132,130,131,128,129,129,128,128,127,129,128,129,129,130,131,131,132,133,134,135, 134,136,136,138,138,138,137,138,137,137,135,134,134,131,131,130,128,127,126,124,124,122,122,122, 121,121,120,121,120,121,120,121,122,123,123,124,124,126,126,128,127,129,129,127,128,126,127,125, 125,124,123,122,122,120,121,120,121,120,120,119,120,119,119,118,119,118,118,117,118,118,117,118, 117,119,118,119,118,119,119,118,119,118,119,117,118,118,118,117,116,116,116,116,116,117,117,117, 119,119,120,121,122,123,125,125,126,126,128,128,129,128,129,129,128,128,128,126,127,125,126,125, 124,123,121,121,119,118,116,116,115,113,112,112,110,110,110,110,109,109,108,109,108,109,108,109, 109,108,109,108,110,108,110,109,110,110,110,111,111,111,112,112,114,114,115,115,115,117,117,119, 119,121,120,123,122,124,123,125,124,126,126,127,126,128,127,129,128,128,128,128,127,127,126,127, 126,126,125,127,126,128,127,129,129,131,131,133,134,135,137,138,138,140,141,141,143,143,145,145, 146,146,148,147,148,149,149,150,149,148,150,148,149,147,148,146,147,146,145,144,144,142,143,141, 141,140,140,139,139,139,139,139,138,139,138,139,137,138,137,137,135,135,135,133,134,132,132,131, 130,131,130,131,131,130,132,131,133,133,134,134,136,137,137,137,139,138,140,140,139,140,139,140, 139,140,138,139,139,137,138,136,137,135,136,134,135,133,134,132,133,133,131,132,131,132,132,131, 132,132,132,132,133,132,133,132,133,132,133,134,133,135,134,136,137,137,138,138,138,138,137,137, 137,136,135,135,134,135,133,134,133,134,133,134,133,135,134,135,134,135,134,134,133,133,133,132, 131,130,129,128,127,126,125,124,123,122,121,120,121,120,121,120,121,121,121,121,121,122,121,122, 120,122,120,121,120,121,120,121,120,122,121,120,121,120,121,119,119,119,118,117,116,115,115,114, 114,112,113,112,112,112,111,111,110,108,108,106,105,105,104,104,103,104,103,105,105,104,106,106, 106,107,107,107,107,107,106,107,108,107,108,107,108,108,108,108,109,110,110,112,111,113,112,115, 114,116,115,117,118,117,119,118,119,120,120,119,121,121,120,121,121,122,121,122,122,122,122,123, 123,122,123,123,122,123,122,123,123,124,124,125,125,126,126,128,127,129,128,130,130,129,130,131, 130,131,130,131,130,131,130,131,129,130,129,129,128,128,127,127,126,126,125,125,125,123,124,123, 123,122,123,122,124,123,124,124,125,125,126,128,128,129,130,131,131,132,132,133,134,133,134,134, 135,135,136,136,137,138,138,138,137,139,138,139,138,139,139,139,140,139,141,140,142,141,142,142, 143,143,144,144,143,144,142,143,143,142,141,142,142,141,141,140,141,141,140,141,140,142,141,143, 143,143,145,144,146,146,146,147,146,147,147,145,146,144,145,144,143,143,141,142,141,139,140,138, 138,136,136,134,134,132,132,131,129,129,127,127,125,125,123,124,122,123,121,122,120,121,120,119, 120,118,119,118,119,118,117,118,117,117,117,116,116,116,115,116,116,115,116,116,117,118,118,119, 119,121,121,121,123,122,124,124,124,125,125,126,125,126,125,126,124,124,122,122,121,119,119,118, 118,116,117,117,117,117,118,119,120,121,120,123,123,125,125,126,127,128,129,128,130,130,132,131, 133,134,134,133,135,134,135,134,135,135,134,135,134,135,133,134,134,133,133,132,133,131,132,131, 132,132,131,133,132,133,134,133,134,133,134,133,134,133,132,132,131,130,130,129,129,128,128,127, 128,127,128,128,128,128,127,128,127,128,128,129,129,131,132,132,134,134,135,135,136,136,135,135, 135,132,133,130,130,128,128,125,126,123,123,121,122,120,120,119,119,118,118,119,118,117,118,117, 118,117,118,118,118,118,119,118,119,119,119,120,119,120,120,121,120,121,122,121,122,121,122,121, 122,123,122,123,123,125,124,126,127,127,128,128,130,130,131,130,131,131,130,130,129,129,128,126, 127,125,125,123,124,122,121,120,119,118,117,117,115,116,115,116,114,116,115,117,116,117,116,118, 117,119,119,119,120,119,120,120,120,119,119,117,117,115,115,114,113,113,111,111,110,111,110,109, 110,110,110,111,110,112,111,112,111,113,113,115,116,116,117,117,119,119,120,120,121,121,121,121, 120,121,121,119,121,119,120,121,120,121,121,123,123,125,125,127,127,130,130,133,134,135,136,137, 139,139,141,141,142,142,142,142,143,141,142,140,141,139,140,138,139,138,139,137,138,138,136,137, 136,137,136,137,136,138,138,138,139,139,141,141,142,143,143,144,144,145,144,144,143,143,143,141, 141,140,139,139,138,135,136,134,134,132,132,131,131,130,131,131,132,133,132,133,132,134,133,134, 133,134,134,133,134,133,133,133,132,133,132,132,131,131,131,129,129,129,128,128,128,128,130,130, 132,133,133,136,136,138,139,139,141,140,140,139,140,138,139,139,138,138,137,138,138,137,138,137, 138,138,136,137,135,136,135,136,135,136,135,135,134,134,134,133,134,133,135,136,135,137,137,139, 139,140,141,139,141,140,140,139,139,138,137,136,135,132,133,130,130,130,128,129,128,129,128,127, 126,126,124,124,122,123,123,123,123,123,122,123,122,122,120,120,118,117,115,113,113,109,108,105, 104,101,101, 99, 99, 98, 99, 99,101,101,103,104,105,106,107,109,110,111,111,113,113,112,113,111, 112,111,110,111,111,112,112,112,113,114,113,114,113,114,112,113,111,111,109,110,107,108,105,105, 104,103,101,102,101,103,102,105,106,107,109,111,111,113,113,114,115,115,115,114,115,113,114,112, 113,113,113,114,115,117,118,120,122,124,124,128,128,132,134,138,140,143,145,146,145,144,141,140, 137,135,135,132,132,131,132,130,132,132,134,134,136,137,136,138,136,137,135,135,133,130,129,127, 124,121,121,119,119,118,120,120,122,122,125,125,129,130,131,133,133,134,134,134,133,130,130,126, 125,124,123,124,124,125,126,126,129,130,133,135,137,139,141,142,144,143,144,144,143,140,140,137, 137,134,134,134,133,134,134,133,133,131,132,131,132,132,133,135,136,138,139,142,143,144,145,146, 147,147,146,147,146,146,146,144,145,144,144,146,147,150,151,154,155,158,159,159,160,159,159,157, 158,156,157,156,156,156,154,155,152,153,150,151,149,150,149,147,148,145,145,143,140,139,136,135, 134,134,134,133,134,134,133,132,132,131,131,131,132,132,133,132,133,132,131,129,127,124,122,119, 118,116,117,117,119,120,120,122,122,122,121,120,120,117,116,114,111,109,106,104,103,101,102,102, 105,107,108,112,112,115,114,114,112,111,109,107,104,102, 99, 98, 95, 94, 92, 88, 86, 81, 80, 77, 77, 77, 77, 80, 83, 85, 90, 93, 98,101,106,109,112,114,118,120,122,125,125,127,126,127,127,127, 129,129,131,132,134,133,135,134,135,134,135,134,136,135,137,137,139,138,139,137,137,136,133,132, 129,129,126,126,124,124,122,123,123,123,121,121,118,118,115,113,111,107,105,101, 99, 95, 93, 90, 88, 88, 87, 88, 88, 90, 91, 94, 97,100,102,106,109,114,117,119,123,125,128,129,131,132,134,135, 134,136,137,139,139,141,141,143,144,143,145,144,144,144,143,143,141,141,138,137,134,135,134,134, 135,135,136,137,137,139,139,141,142,144,145,148,148,150,150,149,151,149,149,148,146,146,145,145, 144,146,147,149,151,152,155,155,158,157,158,156,156,154,154,151,150,148,146,143,142,140,140,139, 140,139,139,138,136,134,134,131,130,127,125,121,119,116,112,110,107,106,102,101, 99, 99, 97, 98, 97, 99,100,101,101,103,103,105,105,107,108,110,111,112,113,112,114,115,115,115,115,116,117,119, 120,121,123,123,125,126,128,128,130,131,133,135,135,136,137,137,138,137,137,136,135,134,132,131, 130,127,127,125,124,123,124,125,125,128,129,132,133,134,134,135,133,133,130,128,127,124,124,124, 125,126,128,131,133,137,141,144,150,153,158,162,164,167,168,169,168,168,167,165,166,164,165,164, 165,165,164,164,162,163,161,162,160,161,160,159,160,159,158,158,155,154,151,150,148,149,149,148, 150,149,150,150,149,149,147,146,143,142,139,138,136,136,135,133,133,132,133,133,134,137,138,139, 140,140,138,138,135,134,132,130,128,127,127,126,128,127,130,129,128,128,126,123,122,119,118,114, 113,109,107,103, 99, 97, 93, 89, 85, 82, 77, 76, 72, 71, 67, 67, 64, 65, 65, 66, 69, 71, 73, 77, 78, 82, 83, 86, 88, 90, 91, 94, 95, 98,101,102,106,107,110,111,113,114,113,115,115,114,116,117, 119,121,123,123,126,126,128,128,127,128,126,126,124,123,120,118,115,114,112,109,109,107,106,105, 105,103,103,101,100, 97, 96, 94, 92, 90, 89, 87, 86, 84, 84, 82, 80, 79, 78, 77, 77, 78, 80, 81, 83, 85, 88, 89, 93, 94, 99,100,103,104,107,106,108,107,108,109,109,110,111,112,113,116,117,119, 120,124,125,128,130,130,132,133,132,133,133,134,132,133,131,131,129,126,126,125,126,126,128,129, 132,133,136,137,139,140,142,142,144,144,145,146,146,149,149,151,152,155,156,160,162,166,168,171, 172,173,173,173,172,169,167,163,162,159,157,155,152,152,150,150,148,148,146,148,148,149,149,149, 150,150,150,149,149,151,150,150,148,148,146,143,140,137,132,128,123,119,115,110,109,105,104,103, 101,102,102,105,106,110,113,117,123,128,134,140,145,151,154,160,163,167,169,171,172,173,173,172, 170,168,166,163,162,159,158,155,154,152,149,146,144,140,138,135,135,134,136,138,142,146,152,157, 161,168,172,178,180,184,185,186,183,180,177,169,163,154,147,137,131,124,120,114,111,109,107,108, 108,109,113,115,120,125,132,139,145,151,158,163,168,172,174,178,180,184,185,187,187,186,184,180, 175,168,161,154,146,138,132,124,119,113,109,108,106,104,105,106,110,114,119,124,129,134,136,141, 143,147,149,151,154,157,159,162,162,162,160,157,152,146,139,132,123,116,108,102, 95, 91, 85, 83, 79, 79, 78, 81, 82, 86, 89, 95, 99,105,110,114,119,122,125,128,129,131,130,127,124,118,113,105, 98, 89, 81, 72, 65, 58, 52, 47, 42, 41, 37, 37, 36, 38, 38, 42, 44, 49, 53, 60, 66, 71, 79, 85, 93, 99,106,110,115,118,121,121,122,120,120,115,114,109,107,102,101, 99, 98, 97, 96, 96, 96, 96, 97, 99,101,105,108,112,115,121,123,128,131,132,135,137,138,139,138,137,135,129,126,119,115,109, 102, 97, 89, 84, 77, 72, 66, 63, 59, 57, 54, 56, 56, 59, 61, 67, 72, 77, 85, 90, 98,103,110,114, 120,124,128,132,134,135,135,134,133,130,126,123,118,115,111,109,109,108,107,108,108,110,112,113, 117,120,122,127,128,133,135,138,141,145,146,151,152,156,158,159,160,159,158,155,152,148,144,139, 134,130,127,125,124,124,124,126,128,133,137,142,148,154,161,167,173,179,183,188,190,193,195,197, 197,198,197,196,193,190,186,181,175,169,163,155,150,143,138,132,126,123,118,117,114,113,114,115, 116,120,122,127,130,136,139,144,148,150,155,156,159,159,158,157,154,151,146,141,135,131,127,123, 119,117,114,113,111,109,110,109,110,112,112,117,120,127,133,139,146,152,159,166,171,177,181,184, 185,185,183,180,175,169,163,154,146,140,132,127,122,118,117,115,116,116,117,119,120,124,126,131, 134,140,143,148,151,157,160,164,166,169,170,172,173,172,173,171,169,167,163,160,156,151,148,142, 139,135,132,129,128,128,128,129,132,134,139,144,148,154,158,164,166,171,172,175,175,174,175,174, 174,173,173,170,169,166,162,159,154,150,143,139,132,128,123,119,117,116,115,118,119,124,127,132, 136,139,143,146,150,152,154,155,154,154,152,151,147,144,139,134,127,122,115,108,101, 94, 90, 84, 81, 77, 76, 75, 75, 78, 78, 82, 83, 86, 86, 89, 90, 90, 92, 92, 93, 93, 94, 93, 93, 91, 91, 87, 85, 80, 78, 73, 68, 62, 58, 53, 47, 45, 41, 41, 40, 42, 42, 46, 47, 52, 55, 62, 65, 72, 78, 83, 89, 95, 99,105,109,114,118,122,124,127,127,127,125,122,119,114,111,106,102, 96, 93, 89, 87, 84, 82, 82, 80, 82, 82, 86, 87, 92, 94, 99,102,107,111,116,118,122,124,124,125,123,122,120,115,112, 106,101, 96, 90, 84, 80, 74, 71, 68, 64, 64, 63, 65, 66, 69, 72, 77, 81, 86, 91, 95,102,106,113, 116,121,124,129,132,136,138,141,141,142,144,142,142,139,136,132,127,123,119,115,110,108,105,105, 105,106,109,112,116,120,125,129,136,141,146,149,154,157,161,163,166,168,170,171,172,172,171,169, 169,166,164,160,159,155,153,149,147,145,145,144,146,147,150,152,154,158,162,167,171,176,180,184, 187,191,193,196,197,196,196,193,191,187,184,178,174,167,160,154,148,142,139,134,132,129,128,127, 128,128,127,129,130,132,133,137,139,143,146,150,153,157,161,163,164,166,165,165,163,161,158,153, 149,144,139,135,130,128,125,125,124,127,128,133,135,138,142,146,149,153,155,159,161,165,167,171, 174,176,179,180,181,180,181,178,177,175,170,168,162,159,152,148,141,137,131,128,124,120,119,118, 119,120,121,125,127,133,137,144,149,155,161,164,168,169,171,170,171,170,167,165,164,160,159,155, 154,152,149,146,142,139,135,132,130,127,127,125,127,129,132,136,139,145,149,154,158,162,164,166, 166,167,165,163,159,156,151,146,141,135,131,126,120,115,110,105,102, 97, 95, 92, 89, 90, 89, 91, 93, 95, 99,101,103,107,108,111,113,116,116,118,118,120,119,120,118,118,116,115,113,108,104, 98, 92, 84, 78, 71, 64, 59, 53, 50, 47, 45, 44, 44, 43, 45, 45, 47, 49, 50, 53, 54, 56, 57, 60, 61, 64, 65, 68, 67, 69, 69, 68, 67, 66, 63, 62, 59, 57, 54, 53, 51, 51, 52, 53, 55, 57, 60, 65, 70, 74, 81, 85, 92, 97,104,110,115,121,125,128,131,132,134,132,132,129,127,124,120,115,112,107,103, 98, 95, 92, 89, 86, 84, 83, 82, 82, 83, 85, 85, 88, 89, 93, 96, 98,101,103,107,109,113,114,117, 118,119,120,120,121,120,119,117,116,112,109,107,103,102, 99, 97, 97, 98, 98,101,103,108,112,118, 123,129,135,141,147,151,155,161,163,167,167,169,168,169,168,167,165,162,161,157,154,151,147,143, 140,136,134,131,131,131,131,133,135,139,141,146,151,156,162,168,173,180,185,189,194,196,199,200, 202,203,202,200,199,196,194,189,186,180,177,173,169,165,163,160,160,159,160,160,161,161,163,163, 164,165,165,168,169,172,173,175,176,177,176,176,173,171,168,163,159,152,147,140,135,129,122,118, 113,109,108,107,108,109,112,114,117,119,123,125,129,131,133,137,139,144,147,151,154,158,160,162, 162,164,162,162,159,157,154,150,146,141,137,133,129,126,124,122,122,122,122,125,127,131,133,138, 142,147,151,157,160,165,166,169,169,169,167,165,160,157,152,148,143,140,136,133,130,127,126,123, 122,120,119,117,118,117,119,119,123,126,131,135,142,147,152,158,163,166,167,169,170,169,169,165, 163,160,156,153,148,146,142,140,137,135,131,130,127,125,123,122,120,121,121,122,123,126,127,130, 131,135,136,139,140,142,142,144,143,142,141,139,137,134,132,127,124,119,112,107,101, 97, 92, 87, 85, 82, 82, 82, 81, 84, 87, 89, 94, 97,103,106,111,113,116,117,120,119,121,119,119,116,113,110, 105,102, 97, 90, 85, 77, 72, 64, 59, 53, 49, 44, 42, 39, 39, 39, 41, 42, 45, 47, 51, 54, 59, 62, 68, 72, 75, 80, 83, 88, 89, 92, 92, 93, 91, 91, 89, 88, 85, 82, 81, 80, 78, 78, 76, 77, 76, 78, 79, 80, 83, 86, 88, 93, 96,101,104,109,113,119,123,128,131,135,137,138,140,138,138,136,134,130, 125,119,115,109,103, 97, 91, 84, 80, 74, 71, 68, 67, 67, 67, 69, 71, 73, 79, 83, 87, 93, 97,102, 107,110,116,118,122,124,125,126,126,127,127,125,126,124,124,121,121,119,119,118,116,117,116,119, 119,122,123,128,131,134,139,143,149,153,157,162,165,169,170,172,172,172,171,168,167,163,161,156, 153,149,146,142,139,135,133,131,131,130,132,134,137,141,144,149,152,158,163,167,171,176,180,185, 189,192,197,199,202,203,203,203,201,199,196,191,187,180,176,170,164,161,155,152,148,147,144,145, 145,145,147,148,149,151,151,152,151,152,152,153,152,153,154,153,153,153,152,149,148,144,141,136, 132,129,124,121,117,116,113,114,113,115,119,121,127,131,138,143,150,156,162,168,174,177,183,185, 189,189,190,188,188,183,180,174,170,163,159,154,150,145,141,140,137,138,136,137,138,137,137,137, 138,138,139,142,144,147,150,153,158,161,163,167,168,170,169,169,167,164,160,156,151,147,144,139, 138,135,135,133,134,134,133,134,134,136,136,138,139,141,143,144,148,150,154,156,159,160,163,162, 163,161,160,157,152,149,144,138,134,128,123,117,112,107,103,100, 96, 93, 92, 90, 91, 92, 95, 99, 103,107,112,116,122,125,129,132,134,134,134,133,131,128,124,121,116,112,106,101, 97, 91, 87, 82, 78, 74, 72, 68, 66, 65, 63, 65, 66, 67, 69, 72, 74, 77, 81, 83, 87, 89, 91, 91, 93, 92, 93, 90, 90, 87, 84, 79, 75, 70, 64, 59, 53, 49, 43, 40, 36, 34, 31, 32, 32, 32, 35, 37, 41, 45, 48, 54, 59, 64, 70, 75, 82, 86, 93, 97,103,106,110,111,113,112,112,111,107,105,101, 96, 93, 90, 86, 84, 82, 79, 79, 79, 79, 81, 82, 87, 91, 94,100,105,111,117,121,127,131,136,139,141,143,144,144,141, 140,136,132,128,122,118,112,108,103, 98, 95, 90, 88, 85, 84, 82, 82, 82, 82, 85, 88, 91, 96,100, 107,113,120,126,132,139,145,149,154,156,160,160,162,160,160,157,155,151,150,146,145,142,140,140, 138,138,138,139,138,141,143,147,149,154,157,162,165,169,173,175,179,180,183,183,185,186,186,186, 185,183,180,177,173,168,165,161,158,154,152,149,149,148,149,149,151,155,158,164,168,175,179,185, 190,193,198,200,203,203,206,206,205,206,204,203,201,198,195,190,186,181,175,168,161,155,149,144, 138,135,130,129,127,128,129,129,132,134,137,138,141,142,144,144,146,145,144,144,142,141,139,135, 134,130,127,124,121,118,116,115,114,114,115,117,121,123,127,131,132,136,138,140,143,145,149,151, 156,158,163,166,169,173,175,178,179,177,176,171,167,162,154,149,141,136,129,126,120,118,116,113, 113,111,112,111,113,113,115,115,117,119,121,125,128,133,138,141,146,149,153,154,156,155,155,152, 151,148,144,141,138,134,133,130,129,127,127,125,126,126,128,129,129,132,134,137,140,141,145,145, 148,148,149,149,147,146,142,139,134,131,126,121,118,113,110,106,104,100, 99, 97, 95, 93, 92, 90, 90, 89, 90, 90, 93, 94, 98,100,105,108,111,115,118,120,123,124,126,127,126,127,126,124,122,118, 116,111,108,103,100, 95, 92, 87, 84, 80, 78, 76, 72, 72, 70, 68, 68, 67, 67, 66, 68, 68, 67, 69, 68, 70, 70, 72, 71, 72, 70, 71, 68, 68, 65, 64, 62, 60, 59, 57, 58, 58, 59, 60, 62, 63, 67, 70, 75, 79, 83, 89, 94, 99,104,109,113,116,120,123,127,129,129,131,130,130,128,126,123,120,116,113, 109,107,103,102, 98, 97, 94, 94, 92, 92, 91, 89, 90, 91, 91, 93, 94, 97, 99,103,105,108,110,114, 117,118,122,121,123,121,121,117,115,111,109,105,103,100,100, 98, 99,100,100,103,104,106,109,111, 113,117,120,125,129,132,137,140,144,147,150,152,155,155,157,157,158,158,155,155,151,149,144,142, 139,135,133,130,128,126,126,124,125,126,127,130,133,138,143,148,154,159,164,170,173,179,181,185, 185,188,187,189,188,186,186,183,183,180,177,175,171,169,165,163,159,157,153,152,149,149,150,150, 153,156,158,162,165,169,173,176,178,180,182,182,183,182,179,178,176,172,171,169,165,163,159,155, 152,149,145,143,140,139,137,135,136,134,135,134,135,135,136,137,137,139,139,142,145,147,151,154, 158,161,163,164,165,163,161,158,153,150,145,141,137,134,132,131,130,131,133,135,137,141,144,148, 150,155,157,160,163,166,168,171,174,176,180,181,183,183,183,180,179,175,170,165,158,152,146,140, 136,130,127,123,121,118,118,117,119,119,121,122,125,126,129,132,135,139,142,145,149,151,154,154, 155,154,155,153,152,149,149,147,144,144,141,141,140,137,137,135,134,133,131,128,127,125,126,126, 125,127,128,131,132,135,136,138,139,139,139,137,136,132,129,123,119,114,108,103, 97, 92, 86, 82, 77, 74, 70, 68, 65, 65, 64, 65, 66, 69, 70, 74, 78, 80, 86, 89, 95, 99,102,106,108,112,114,114, 116,114,113,109,106,102, 96, 91, 84, 80, 74, 68, 63, 57, 54, 49, 47, 43, 42, 41, 40, 40, 40, 41, 41, 43, 44, 47, 48, 51, 54, 56, 60, 62, 64, 66, 67, 67, 69, 68, 69, 69, 69, 69, 68, 69, 70, 71, 72, 73, 74, 78, 79, 83, 85, 88, 93, 96,102,106,112,116,121,127,131,136,139,143,146,146,147,146, 143,141,136,132,125,121,114,109,103, 98, 94, 90, 88, 85, 84, 82, 81, 81, 80, 81, 82, 83, 85, 87, 90, 94, 98,102,107,110,116,120,124,128,130,134,137,137,139,139,140,139,139,139,138,138,138,136, 137,136,138,138,140,141,144,147,148,152,154,159,161,165,167,169,171,171,172,170,170,167,166,162, 159,155,153,149,147,145,143,142,139,139,137,137,135,137,137,140,142,146,150,156,161,167,174,180, 186,193,198,203,208,209,212,211,212,209,207,205,202,200,196,194,190,186,181,178,173,168,165,161, 157,155,152,150,149,148,147,148,147,148,149,149,151,152,154,155,158,158,161,161,162,162,159,158, 154,149,145,139,135,129,124,119,115,112,111,111,113,115,120,124,127,133,136,141,143,147,150,151, 153,153,156,156,158,159,159,159,158,158,155,153,150,146,142,136,133,127,124,120,118,115,115,115, 117,118,121,124,126,130,132,136,138,142,144,149,151,155,156,159,160,161,161,161,159,156,155,152, 149,144,141,137,134,131,127,126,124,122,120,120,119,118,118,116,118,118,121,124,126,131,135,139, 144,147,152,154,155,156,155,154,150,148,144,139,136,131,128,123,121,118,115,114,112,113,113,113, 115,116,119,121,124,125,129,130,134,135,138,139,139,140,138,138,137,134,132,128,123,119,115,108, 104, 97, 93, 88, 84, 81, 77, 76, 74, 75, 75, 75, 78, 80, 83, 86, 88, 91, 96, 98,102,105,108,110, 112,112,113,111,112,109,108,104,102, 98, 93, 89, 83, 80, 74, 71, 66, 64, 61, 57, 57, 56, 55, 54, 56, 56, 59, 61, 64, 67, 70, 75, 78, 83, 86, 91, 94, 97, 99,100,101,100,101, 99, 98, 95, 94, 92, 88, 87, 84, 84, 84, 83, 86, 88, 92, 95, 99,102,107,110,115,117,121,125,128,131,133,137,138,142, 142,144,143,140,139,135,131,127,122,117,111,104, 99, 92, 86, 81, 75, 73, 70, 67, 67, 67, 69, 70, 73, 76, 80, 85, 91, 95,102,107,113,118,123,127,132,134,137,138,140,140,140,139,140,139,139,139, 139,139,139,141,139,141,140,139,140,140,141,142,143,143,146,146,150,151,155,157,160,161,164,164, 163,161,160,156,154,150,148,146,142,141,138,138,136,137,137,137,137,139,139,142,143,146,148,152, 155,161,167,171,178,182,188,192,197,199,203,205,205,207,205,205,203,201,196,193,187,181,174,168, 161,155,150,144,141,138,135,135,135,135,137,137,140,140,143,142,143,141,142,139,139,137,135,135, 134,135,134,135,135,136,136,136,135,136,134,134,133,133,132,131,133,134,138,140,144,147,152,154, 159,162,165,168,171,171,174,175,176,175,176,174,174,171,170,167,165,162,157,154,148,144,139,136, 132,129,125,124,121,121,120,121,121,122,123,125,127,130,133,138,141,146,151,154,159,161,164,165, 164,165,162,161,157,155,150,148,143,141,138,137,135,135,134,135,136,136,138,137,139,138,140,139, 141,141,141,142,141,142,141,141,139,138,137,134,133,130,128,125,123,120,118,115,113,110,108,105, 105,103,103,103,102,104,104,106,107,109,110,113,115,118,119,122,122,124,124,125,124,124,122,121, 119,117,114,112,109,105,102, 98, 94, 91, 87, 85, 81, 78, 75, 74, 72, 71, 69, 70, 69, 69, 70, 70, 71, 72, 74, 75, 77, 79, 79, 79, 79, 78, 77, 77, 75, 74, 71, 70, 68, 67, 64, 63, 61, 61, 60, 61, 61, 63, 64, 67, 69, 73, 76, 79, 81, 85, 86, 90, 91, 94, 96, 98,101,102,105,106,106,108,107,109, 109,107,107,106,103,102,100, 99, 96, 96, 94, 94, 95, 94, 97, 97,100,102,103,106,109,111,115,117, 121,122,124,124,126,126,126,125,125,123,121,119,116,113,110,108,104,103,101,101,100, 98, 99, 99, 98, 99, 99,101,102,104,105,109,111,115,118,123,128,133,138,143,148,152,153,157,157,159,158,158, 156,155,153,152,150,150,148,149,149,148,149,149,148,149,148,149,149,149,151,151,154,157,159,163, 165,169,171,174,174,176,177,175,176,173,173,170,170,166,165,162,161,157,156,153,153,151,152,152, 152,154,156,157,162,165,168,173,176,179,182,183,185,186,184,185,183,183,182,181,181,180,178,179, 176,176,172,171,166,163,158,150,146,139,135,130,125,123,120,119,118,119,120,122,123,126,128,129, 131,132,134,135,135,137,138,139,139,140,139,140,139,139,138,138,136,135,135,132,133,132,134,134, 136,137,140,142,146,149,150,154,156,160,161,164,165,168,167,168,167,167,163,161,157,154,149,143, 139,133,129,123,120,116,115,112,112,111,111,111,113,113,115,115,118,120,121,124,126,130,132,134, 138,141,144,146,149,151,153,154,155,155,156,155,155,154,152,149,147,143,142,138,137,133,132,130, 129,127,127,126,127,128,128,130,130,132,133,133,135,134,135,134,134,131,130,127,125,122,119,117, 113,110,107,105,101, 99, 96, 95, 93, 94, 93, 95, 97, 98,100,104,106,111,115,118,122,125,129,131, 134,135,135,136,134,133,129,127,123,118,115,109,106,100, 96, 91, 86, 82, 77, 74, 71, 67, 66, 64, 63, 63, 62, 63, 63, 64, 65, 65, 68, 69, 72, 74, 77, 79, 82, 83, 87, 89, 91, 92, 94, 93, 95, 93, 94, 93, 91, 92, 91, 91, 91, 92, 92, 94, 94, 97,100,103,105,109,112,116,118,121,122,125,125,127, 126,127,126,126,123,123,119,118,115,111,109,105,104,100, 98, 94, 93, 90, 90, 87, 88, 87, 86, 87, 87, 87, 90, 92, 94, 98,100,105,107,112,115,119,121,124,125,126,127,126,124,123,120,118,115,114, 112,112,111,111,111,112,112,114,113,116,115,118,118,120,122,123,127,129,133,136,139,141,144,145, 145,146,144,144,143,140,139,137,136,133,133,132,130,131,130,131,131,133,134,134,137,140,142,147, 150,155,158,162,166,168,171,172,174,174,175,174,174,173,173,171,171,168,168,166,165,162,161,157, 155,151,148,143,141,137,136,133,134,134,137,139,144,147,152,156,160,163,166,168,168,169,168,167, 166,163,161,157,156,153,149,147,143,141,137,135,132,130,126,125,123,123,123,123,125,127,130,132, 136,139,141,145,147,150,151,153,155,155,156,155,156,155,153,153,152,150,148,145,144,141,141,139, 140,140,140,142,143,146,147,151,152,156,158,159,162,162,165,165,167,167,168,170,170,171,169,170, 167,166,163,161,157,154,150,146,141,136,133,129,125,121,120,117,117,116,118,119,122,125,129,134, 138,142,146,149,153,155,159,160,162,162,161,161,159,157,154,153,151,148,145,143,140,138,134,133, 130,130,128,128,126,128,127,129,130,131,131,134,134,136,135,137,136,136,134,134,131,129,125,123, 118,115,110,107,102, 99, 96, 94, 91, 90, 88, 87, 85, 85, 86, 86, 88, 89, 92, 94, 98,101,105,107, 111,113,116,117,119,119,120,119,117,116,113,112,107,105,101, 95, 92, 85, 81, 75, 69, 66, 61, 58, 55, 52, 51, 49, 50, 51, 52, 56, 59, 62, 67, 70, 74, 77, 81, 83, 86, 88, 89, 91, 91, 93, 92, 93, 93, 93, 93, 91, 92, 90, 91, 91, 91, 92, 91, 93, 95, 96, 98,101,102,106,108,112,115,117,121,123, 126,127,129,129,131,131,129,129,126,125,122,117,114,108,104, 99, 93, 89, 84, 82, 78, 77, 75, 76, 76, 78, 79, 83, 84, 88, 90, 93, 98,100,105,109,114,118,123,127,132,134,138,140,142,142,143,142, 142,140,139,138,135,135,133,133,132,133,132,133,132,133,133,135,135,137,139,139,142,144,145,147, 147,150,150,151,149,150,148,149,147,147,145,145,145,143,144,144,143,144,144,144,143,144,143,144, 144,146,147,151,155,158,164,169,173,179,182,187,188,191,191,190,189,186,184,179,176,172,167,165, 160,159,156,152,151,148,147,145,142,141,138,138,136,136,136,137,137,139,140,140,143,143,146,145, 147,146,145,146,145,143,143,141,141,139,139,137,137,135,135,134,134,132,133,131,133,132,134,133, 136,136,139,141,142,143,145,145,146,147,147,149,148,151,150,152,150,151,150,150,149,147,145,143, 140,136,135,131,130,127,126,123,124,122,124,124,128,129,133,136,139,143,145,149,152,152,155,155, 156,155,156,155,153,150,149,145,143,140,138,135,135,132,131,129,129,127,127,126,127,127,127,128, 128,130,130,133,135,135,137,139,140,141,141,141,142,142,142,141,141,140,139,136,135,134,131,131, 129,129,128,128,127,125,126,124,125,124,125,124,126,125,127,126,128,127,129,130,129,130,129,130, 127,127,125,123,122,120,117,116,113,111,108,106,104,100, 99, 96, 96, 93, 93, 92, 93, 92, 94, 94, 97, 98,101,102,105,106,109,109,111,111,111,109,109,107,105,103,100, 99, 95, 94, 91, 90, 87, 86, 83, 82, 81, 78, 79, 76, 77, 77, 77, 77, 79, 79, 82, 83, 86, 88, 91, 93, 94, 97, 98,101,101,104, 104,105,105,106,104,105,104,105,103,104,102,103,102,102,102,103,103,106,107,110,112,115,117,119, 121,121,123,122,123,123,123,122,123,123,121,121,119,119,116,116,113,109,107,103,100, 97, 93, 91, 89, 87, 87, 87, 87, 88, 89, 91, 94, 96, 98,102,105,108,111,114,118,122,125,128,132,134,137,140, 140,142,142,143,143,142,142,142,140,140,139,137,138,135,135,133,133,131,131,130,130,129,130,131, 131,134,135,139,141,143,146,148,147,149,147,148,146,144,143,140,139,137,138,137,138,138,140,142, 142,144,145,146,148,148,148,150,151,153,154,155,158,160,163,165,168,170,171,172,173,173,173,172, 171,170,166,165,162,159,157,153,151,148,145,141,139,134,133,129,128,125,125,123,125,124,125,126, 127,128,130,130,132,133,136,137,139,141,143,144,146,147,149,148,149,150,149,149,147,146,147,145, 145,144,144,145,145,147,148,150,153,155,156,159,160,162,163,163,164,165,163,163,160,160,156,156, 152,152,148,147,145,142,141,138,138,136,136,133,134,133,133,131,132,132,132,134,134,137,138,141, 142,146,147,150,151,155,156,157,159,160,161,160,160,160,157,157,154,154,151,149,147,145,142,141, 138,137,135,134,134,131,132,131,129,130,130,130,131,131,133,135,134,136,134,136,134,134,132,132, 130,129,126,125,123,121,119,118,115,114,111,111,109,109,110,108,110,110,112,112,115,115,118,118, 121,121,123,123,124,124,121,122,119,118,115,114,112,108,107,103,101, 98, 96, 93, 89, 87, 84, 82, 79, 78, 75, 75, 73, 74, 73, 74, 74, 77, 78, 79, 82, 83, 86, 88, 89, 92, 92, 94, 94, 94, 95, 94, 95, 94, 95, 94, 92, 93, 91, 91, 89, 89, 89, 89, 89, 90, 91, 92, 94, 95, 96, 98, 98,100,101,103, 104,104,106,106,108,108,109,112,111,113,112,113,112,112,110,109,106,104,103, 99, 99, 96, 97, 96, 98, 98,100,100,103,103,106,108,108,111,111,115,116,117,119,119,121,122,121,122,121,122,120,119, 119,116,116,113,113,110,111,109,110,109,108,110,109,112,112,114,115,119,121,123,127,131,133,137, 139,143,145,148,148,150,150,148,148,146,146,145,143,144,142,143,142,143,143,144,145,145,146,145, 146,145,145,145,146,145,147,147,150,151,154,157,159,162,163,164,166,166,165,165,162,162,160,156, 155,152,151,148,148,145,145,142,143,141,142,143,143,145,146,149,150,152,155,158,159,163,163,166, 165,167,165,166,164,164,162,161,158,157,153,150,146,144,139,136,132,130,126,124,122,121,120,121, 120,122,123,124,127,128,131,132,135,135,138,138,140,139,140,139,140,139,140,139,141,141,140,141, 141,140,141,140,141,140,142,141,143,142,143,142,143,143,143,145,146,146,148,149,149,151,150,152, 151,152,151,150,148,147,144,140,139,135,133,129,128,123,122,118,118,116,115,116,115,117,117,120, 121,123,126,127,131,133,137,140,141,146,147,150,150,153,153,153,153,152,152,149,149,146,144,142, 139,137,135,133,131,129,129,127,128,127,128,127,128,129,128,130,130,131,131,132,131,131,130,128, 128,125,124,122,121,118,117,115,114,113,111,111,110,110,109,110,110,111,110,112,112,114,114,116, 118,119,122,123,125,126,128,130,129,131,129,130,129,126,125,121,119,115,112,108,105,101, 97, 92, 90, 85, 84, 80, 79, 77, 76, 76, 75, 76, 78, 78, 81, 82, 85, 86, 89, 91, 94, 95, 98, 99,102,103, 105,106,108,108,110,111,112,110,111,109,109,107,107,104,104,103,104,103,105,106,108,110,113,115, 116,118,119,121,122,122,121,122,121,121,120,118,117,115,114,113,111,109,107,103,102, 99, 96, 95, 93, 93, 93, 92, 92, 93, 95, 96, 97,100,102,103,106,107,111,112,116,119,121,123,126,127,128,129, 130,130,130,129,128,127,124,124,122,122,120,121,120,121,121,122,122,123,123,121,122,122,121,122, 121,123,123,126,127,129,130,134,134,138,138,140,139,140,139,139,137,137,136,133,134,133,132,134, 134,136,137,140,141,144,145,148,150,151,154,155,158,159,160,161,162,161,161,160,159,157,156,155, 152,152,150,147,147,144,144,142,141,139,139,138,137,137,136,137,137,138,138,139,140,141,142,144, 144,147,147,148,149,148,149,148,148,148,146,147,145,146,144,145,143,143,141,141,140,139,138,138, 138,137,137,135,135,136,135,136,136,137,137,140,140,142,142,145,145,148,147,149,148,150,149,148, 148,145,145,144,141,142,140,140,138,139,140,140,141,143,144,146,148,149,150,153,153,155,156,156, 155,156,155,155,155,154,153,152,151,150,147,147,143,143,140,139,137,135,134,133,131,131,131,130, 130,131,131,132,133,133,135,135,137,137,139,139,141,142,142,144,143,144,143,145,143,144,142,143, 141,141,140,138,138,136,136,134,134,132,132,130,130,129,127,126,126,125,124,123,122,122,121,122, 120,121,120,120,118,119,116,117,114,114,112,109,108,106,105,104,102,102,100,101,100,101,101,102, 103,102,104,105,105,107,108,108,109,109,110,110,110,109,108,106,106,104,103,101, 98, 98, 95, 94, 91, 90, 88, 87, 84, 83, 80, 79, 78, 75, 75, 74, 75, 75, 77, 78, 81, 82, 85, 85, 89, 89, 92, 92, 94, 94, 95, 96, 96, 98, 97,100,100,103,103,105,106,108,109,108,110,110,111,112,112,113,114,113, 115,115,117,117,117,118,117,119,117,119,117,118,117,118,117,117,114,115,113,113,110,110,107,106, 103,102,100, 99, 97, 98, 97, 98, 99,101,102,104,106,108,111,112,114,116,118,119,122,124,127,131, 134,136,140,142,145,146,148,148,149,148,148,145,144,141,141,139,137,137,135,135,137,136,138,138, 138,139,138,140,140,139,140,139,140,140,141,141,142,142,143,143,144,144,146,146,148,148,149,151, 151,153,154,154,154,155,155,155,155,156,156,156,156,157,157,158,157,159,160,160,161,162,163,163, 163,162,162,161,159,159,157,157,155,152,152,148,148,145,142,139,139,135,134,131,131,128,128,126, 127,126,127,127,129,130,131,134,134,137,138,141,142,143,145,145,146,145,146,144,144,142,143,141, 141,139,140,138,139,138,140,138,140,140,141,141,142,142,142,142,141,142,140,141,138,140,138,139, 137,139,137,139,138,139,138,138,137,137,136,136,134,134,133,133,133,131,132,130,132,132,131,133, 132,134,134,136,136,138,138,141,140,143,143,145,145,147,145,147,145,146,144,144,142,140,139,137, 135,134,132,131,130,129,128,126,126,124,125,124,123,124,124,124,126,127,127,130,129,132,131,133, 133,134,133,134,132,133,132,129,129,127,127,125,125,123,124,122,123,122,121,122,121,121,121,119, 120,119,119,120,118,119,118,119,117,119,118,119,117,118,116,116,115,113,113,112,110,109,108,106, 105,102,100, 99, 97, 95, 95, 93, 94, 94, 95, 96, 96, 98, 98,101,101,102,103,103,104,103,103,102, 103,103,102,103,102,103,103,101,102,101,100,100, 99, 96, 96, 94, 94, 93, 93, 93, 94, 93, 95, 95, 97, 98,100,102,102,105,105,108,108,111,111,113,113,115,115,116,117,115,116,115,115,113,114,112, 113,111,112,112,112,114,113,115,116,115,116,117,115,116,115,116,116,115,116,116,117,118,118,118, 118,118,117,116,115,112,111,108,108,105,105,104,105,104,106,107,110,112,114,115,118,119,122,125, 125,128,128,131,132,133,135,137,139,141,141,143,143,145,144,145,144,144,143,143,141,140,140,136, 136,135,133,133,131,132,131,131,132,133,132,135,135,138,139,142,142,145,146,146,148,147,148,147, 147,147,146,146,145,143,144,142,143,141,142,142,142,142,143,142,144,144,146,147,149,149,151,152, 154,155,157,157,158,159,158,158,156,157,155,153,151,149,146,143,141,138,135,133,131,129,127,127, 125,125,125,125,125,126,127,127,127,129,129,131,131,134,135,136,138,139,141,143,145,147,148,151, 151,153,154,153,154,152,153,150,151,149,149,146,147,146,145,146,145,146,146,147,147,149,148,150, 150,152,152,151,152,151,151,150,149,148,146,144,143,141,139,137,134,133,131,130,130,128,129,128, 130,130,131,133,133,136,138,139,141,143,145,147,149,151,151,154,153,155,155,154,154,153,152,151, 148,147,144,141,140,137,134,133,131,130,128,128,126,126,124,125,124,123,123,122,123,122,123,123, 123,123,124,125,124,126,125,126,126,124,125,123,122,121,120,119,118,117,115,115,114,112,113,111, 112,112,112,112,113,114,115,116,118,119,120,121,121,120,120,118,118,115,113,111,108,105,103,100, 98, 96, 94, 91, 90, 86, 86, 82, 82, 79, 79, 77, 76, 77, 76, 78, 78, 81, 81, 85, 87, 89, 93, 94, 97,100,101,103,104,106,106,107,107,108,108,106,107,106,106,104,104,102,103,101,102,101,102,101, 103,103,105,104,106,106,108,108,109,109,110,110,111,111,112,112,112,114,114,115,114,114,114,112, 112,110,108,107,105,105,105,104,104,105,106,108,110,111,114,115,118,118,120,120,121,121,123,124, 123,125,125,127,127,129,128,129,129,129,129,127,128,126,126,123,124,121,122,120,121,119,120,120, 121,123,122,125,126,129,130,134,136,137,140,141,143,144,146,146,147,147,146,147,146,145,146,145, 146,146,145,146,146,147,147,148,149,149,149,150,150,151,151,152,152,154,153,155,155,155,156,155, 155,154,154,153,153,152,150,150,148,147,145,145,144,143,143,141,143,142,143,142,144,143,145,144, 145,146,146,148,147,148,147,149,149,149,148,150,149,149,149,148,149,147,147,145,146,143,143,140, 138,136,134,132,130,129,127,127,125,126,126,127,127,129,130,130,133,133,136,136,138,138,140,140, 141,140,142,142,141,141,140,141,140,140,139,139,138,139,138,139,138,140,139,140,140,141,141,140, 141,140,141,140,140,140,138,139,137,138,136,137,135,135,133,133,133,130,131,129,127,127,125,125, 125,124,125,124,125,124,126,127,126,128,128,130,130,132,132,134,135,135,137,138,138,140,140,142, 141,142,141,142,140,140,138,137,135,134,133,130,129,127,125,124,122,122,121,119,119,118,119,118, 119,118,119,118,119,118,119,120,118,119,117,117,116,114,114,113,113,112,113,112,113,113,115,114, 116,115,117,117,117,117,117,116,116,115,116,115,116,116,117,117,116,118,116,117,116,114,113,111, 110,108,105,104,101, 98, 98, 95, 95, 93, 93, 91, 91, 91, 90, 90, 90, 91, 92, 93, 94, 95, 97, 99, 99,101,104,105,107,108,110,111,113,114,116,118,118,120,120,122,121,122,122,122,122,121,121,120, 119,118,119,118,118,118,119,120,119,121,121,122,121,122,121,120,119,117,117,116,116,114,115,114, 113,113,112,113,113,111,112,110,111,109,110,109,109,109,110,109,111,112,114,115,118,120,123,124, 127,129,131,132,135,135,137,137,138,138,137,138,137,135,135,133,133,131,131,129,129,126,127,126, 126,125,125,123,124,124,123,124,123,123,124,124,126,127,129,130,132,133,136,137,138,141,141,143, 143,144,146,145,146,146,147,145,147,146,147,146,146,147,148,147,148,147,148,147,148,148,148,148, 149,148,149,149,148,149,149,148,149,148,146,146,144,144,142,141,139,137,135,134,132,129,129,127, 126,126,125,126,126,128,128,131,132,133,135,136,139,139,141,143,143,143,144,144,144,143,144,143, 143,142,142,142,142,140,141,139,138,138,137,137,135,135,135,134,133,133,131,132,132,132,132,133, 133,133,134,134,136,137,137,139,139,140,141,140,142,141,142,141,142,140,141,139,140,139,139,138, 139,139,139,139,139,139,140,139,140,141,141,142,141,143,142,144,143,145,145,145,144,144,143,142, 141,139,138,135,133,132,130,129,127,126,125,125,124,124,124,124,125,125,126,127,128,129,130,131, 133,134,135,136,136,136,137,136,136,135,135,135,134,133,133,132,132,131,131,129,129,127,125,124, 121,120,117,117,114,115,112,114,113,114,113,115,114,116,116,116,118,116,117,115,116,114,113,112, 110,110,108,108,107,105,105,103,103,102,102,101,100,100, 99,100, 99,101,101,102,102,104,103,105, 106,105,106,105,107,105,107,105,106,104,104,104,102,101,100, 99, 97, 97, 96, 94, 92, 93, 92, 92, 91, 93, 94, 96, 97,100,100,103,104,107,107,109,109,112,113,113,116,116,118,118,121,121,123,123, 124,122,123,121,121,119,119,117,117,115,115,114,115,115,115,116,117,117,118,119,120,121,122,121, 122,121,122,120,121,119,120,119,119,117,118,116,117,115,117,116,117,117,118,118,120,120,122,122, 123,124,126,127,129,131,133,136,138,140,141,145,145,148,149,150,151,151,151,149,150,148,146,145, 144,141,141,138,138,137,135,135,134,134,134,134,134,134,135,136,136,139,139,141,142,144,145,147, 149,149,151,151,153,152,153,153,152,152,151,151,150,148,149,147,147,146,146,145,145,146,144,146, 146,146,147,147,148,148,149,150,148,149,148,147,147,145,143,142,140,139,137,136,135,134,133,130, 130,127,128,125,125,123,123,123,121,122,121,122,123,123,125,126,128,130,132,133,136,137,140,140, 143,143,144,145,145,145,146,144,145,142,142,140,138,137,136,134,133,131,131,131,129,130,128,129, 129,130,130,131,129,131,130,132,132,131,132,131,132,131,132,130,131,130,129,129,128,127,126,126, 126,124,125,125,125,125,126,126,128,130,131,133,134,135,135,138,137,139,139,141,140,141,140,141, 139,139,139,136,136,134,134,132,130,129,127,125,125,123,122,121,120,119,118,117,115,116,114,116, 115,117,117,118,120,122,124,126,128,129,130,130,131,131,131,129,129,127,127,125,125,123,124,122, 123,121,122,121,122,122,120,121,119,120,118,119,118,120,119,119,120,119,120,119,118,118,116,116, 115,114,112,112,110,108,108,105,105,103,103,102,101,101,100,101,100,101,100,103,102,105,105,109, 110,112,114,116,116,118,117,119,118,119,120,120,119,120,121,119,121,120,121,119,120,119,118,117, 117,114,114,112,113,112,111,113,112,114,114,116,116,118,118,120,121,120,122,121,122,121,121,121, 120,121,120,122,122,121,122,121,123,122,124,124,123,124,124,125,124,124,125,124,125,124,125,124, 125,126,125,126,125,127,126,127,127,126,127,125,126,124,125,124,122,122,122,120,121,120,121,121, 121,123,123,123,125,126,127,128,130,130,132,133,134,134,136,136,137,138,138,139,140,140,140,139, 140,140,140,139,138,139,138,138,137,138,137,138,138,137,138,137,138,138,139,139,138,140,139,140, 140,139,140,139,139,139,138,137,136,136,136,134,135,134,135,135,136,136,136,137,137,138,138,139, 139,138,137,138,137,138,137,138,137,139,139,138,139,139,140,140,139,139,138,138,136,136,134,133, 132,130,130,127,127,126,125,124,123,123,123,122,123,123,124,124,126,126,128,128,130,130,132,133, 133,135,134,136,135,137,137,137,138,137,138,137,139,138,138,139,138,139,138,139,139,139,139,138, 139,139,139,139,138,139,138,138,137,137,135,136,134,134,132,132,132,130,131,131,130,130,129,130, 130,130,130,131,130,131,131,132,132,133,133,134,134,135,134,136,135,137,136,136,137,137,138,139, 138,140,139,140,139,140,139,138,137,135,133,132,130,129,128,126,126,125,124,124,124,124,124,124, 123,124,122,122,121,121,120,121,119,121,120,119,120,120,121,120,121,121,122,122,122,122,121,122, 123,122,123,122,124,123,124,123,124,124,124,122,122,121,121,121,119,120,118,118,117,117,115,115, 113,111,110,108,107,105,105,103,103,103,102,102,102,102,102,103,102,102,103,101,102,101,102,101, 103,103,104,105,107,108,111,113,114,115,117,117,119,119,119,120,119,120,120,121,120,121,121,122, 122,122,122,123,122,123,122,122,122,120,120,118,119,117,117,117,116,115,115,114,114,115,113,115, 114,116,115,117,116,118,118,119,119,120,119,120,120,121,121,122,122,123,124,125,125,127,126,128, 127,129,128,130,128,130,128,130,128,130,129,128,129,129,130,129,130,131,131,131,132,130,132,130, 132,130,132,130,131,130,131,131,130,131,130,131,130,132,131,133,132,134,134,134,136,136,137,138, 139,141,140,143,143,145,145,147,147,148,150,149,151,150,152,150,152,150,151,148,148,148,146,145, 143,144,141,142,140,141,139,141,140,139,139,138,138,137,137,136,136,134,135,133,134,133,134,132, 133,132,133,132,134,133,134,133,135,135,134,135,134,135,134,135,134,135,133,135,133,134,133,134, 133,132,133,132,132,133,132,133,132,133,132,132,132,132,132,129,130,128,128,128,127,126,126,126, 125,125,124,125,125,124,125,125,125,125,126,126,127,129,128,130,130,132,132,133,134,133,135,133, 135,133,134,132,133,131,131,130,129,130,129,128,128,128,126,127,125,127,127,126,127,127,128,128, 127,128,127,128,127,127,127,125,126,124,125,124,126,126,126,127,127,128,128,129,128,129,128,129, 127,128,126,127,125,127,125,127,127,128,128,129,129,129,130,129,131,129,130,128,130,128,129,127, 128,125,126,124,125,124,122,122,121,120,120,119,119,118,119,119,117,119,119,119,120,120,121,121, 122,121,122,123,123,124,124,125,126,125,126,124,125,123,122,122,120,121,119,118,118,118,116,118, 117,118,118,117,118,118,118,118,117,116,116,114,115,114,114,114,114,113,114,114,115,115,117,116, 117,117,117,118,117,118,118,118,119,118,120,120,121,122,121,124,123,124,126,126,128,127,129,129, 130,129,131,129,130,129,130,128,129,128,127,127,126,125,126,124,125,123,124,123,123,122,122,121, 120,120,118,119,117,118,117,118,118,119,119,119,121,120,122,122,123,122,123,122,124,122,124,124, 124,124,125,125,125,127,126,128,128,129,130,130,131,131,132,132,133,134,133,134,134,134,134,133, 132,132,131,131,129,129,128,128,127,127,127,125,126,125,124,125,124,125,125,125,127,127,128,129, 131,131,133,134,136,137,137,139,139,138,140,140,139,139,140,139,138,139,138,139,138,139,138,139, 137,138,137,136,136,135,135,134,134,133,131,132,130,131,130,129,129,128,129,128,129,127,128,126, 127,126,127,126,125,125,124,123,123,122,121,120,121,120,121,120,121,122,123,124,126,126,128,130, 130,132,133,133,135,134,136,135,136,135,136,136,135,135,135,133,134,132,132,130,129,127,127,127, 125,126,125,125,125,125,126,126,127,127,128,129,128,130,129,131,131,132,133,132,133,132,134,134, 134,134,134,133,134,133,134,133,134,135,134,136,136,136,137,138,137,138,138,137,137,136,136,137, 137,138,138,138,139,140,140,140,141,139,140,137,138,136,135,133,132,129,129,127,127,125,125,125, 124,125,123,125,124,126,125,127,127,128,129,130,131,131,133,132,134,134,135,135,135,135,134,134, 134,134,134,132,132,131,131,129,129,129,126,127,125,126,125,125,124,124,124,123,124,124,124,125, 124,125,124,124,124,122,122,120,120,118,118,117,116,117,116,117,117,116,117,116,117,116,116,115, 115,114,114,113,113,114,113,114,113,115,115,117,116,118,118,119,120,120,121,120,121,119,120,118, 119,118,117,117,116,117,116,116,116,116,115,116,115,117,115,117,116,117,116,118,117,118,117,119, 118,119,119,120,121,121,122,122,124,123,124,123,124,123,124,122,123,122,122,120,121,120,120,120, 121,120,121,120,121,121,120,121,120,121,120,120,120,119,120,119,121,119,121,121,121,122,121,123, 122,123,123,124,123,125,125,125,126,126,127,127,128,128,129,129,128,130,129,131,132,132,133,133, 134,134,134,135,136,134,135,134,135,134,134,134,134,135,134,135,136,136,135,137,137,137,136,137, 136,137,136,136,135,136,136,137,137,138,138,138,139,140,140,141,141,140,142,141,142,141,141,141, 140,140,138,139,137,137,135,136,134,134,132,132,133,132,132,132,131,132,131,131,130,130,129,129, 127,127,126,126,124,125,124,124,124,122,123,123,124,123,124,123,124,124,124,125,124,126,126,126, 128,128,128,129,129,130,129,131,131,131,132,132,132,132,133,132,133,132,134,132,133,133,132,132, 131,131,130,130,130,129,128,128,126,127,125,125,124,123,122,122,121,120,121,120,121,121,123,123, 125,125,128,127,129,128,130,129,130,130,130,129,130,129,130,129,130,131,130,132,131,132,131,133, 132,133,131,132,131,131,131,129,130,129,129,128,129,128,129,127,128,128,127,127,127,126,127,125, 126,125,126,126,125,125,125,124,124,123,124,123,124,123,124,125,126,127,128,129,128,130,130,132, 133,132,133,132,134,133,135,135,136,135,136,136,135,135,134,133,133,130,130,127,126,125,123,122, 119,120,119,119,118,119,118,120,119,121,120,121,121,122,121,122,121,122,122,122,121,122,121,122, 121,122,121,122,122,122,122,123,122,123,122,124,124,124,125,124,125,127,126,128,129,128,130,130, 132,132,133,134,133,134,133,133,133,132,130,130,127,127,124,124,121,122,119,119,118,117,117,116, 116,117,115,117,116,116,118,117,119,119,121,121,124,124,126,126,128,128,130,129,129,129,128,129, 128,126,126,124,124,123,120,121,118,119,117,118,116,118,117,119,119,119,121,121,124,123,126,125, 126,127,127,128,128,128,128,128,128,127,127,126,126,125,125,124,124,124,122,122,120,121,119,121, 120,122,122,123,124,126,126,129,131,131,134,134,137,136,138,138,138,138,139,136,137,135,136,134, 133,132,130,130,127,128,125,126,124,125,124,124,124,124,124,125,125,125,126,126,126,127,127,128, 129,128,130,129,131,130,132,132,131,132,130,130,129,127,127,125,124,123,122,121,121,121,119,121, 119,121,121,121,123,122,125,125,126,127,128,129,130,129,131,130,132,130,131,129,130,128,128,126, 126,125,124,125,122,124,122,123,122,124,123,123,125,125,127,128,129,131,133,134,136,137,139,139, 140,140,140,140,139,138,137,136,135,134,133,133,130,131,130,130,129,128,128,129,127,128,126,128, 127,128,129,129,130,132,132,134,135,137,138,139,141,140,142,142,141,142,141,141,140,140,139,137, 136,136,133,134,131,132,129,130,129,129,129,130,129,131,131,133,134,135,135,136,136,137,137,136, 138,136,137,135,136,134,134,134,132,132,131,129,128,128,125,125,123,123,121,123,123,123,125,126, 127,129,130,132,134,133,136,135,137,135,137,136,135,135,134,134,132,132,129,129,128,127,125,125, 122,122,120,119,118,117,116,116,114,115,114,115,115,114,116,115,118,118,118,119,120,121,121,122, 122,123,124,123,122,122,121,121,120,120,117,119,117,118,117,117,118,118,119,120,120,120,122,122, 124,123,125,125,127,126,128,127,127,128,128,126,127,126,124,124,122,122,119,119,116,116,113,114, 112,111,110,111,109,111,110,111,112,111,114,114,116,116,119,118,121,120,123,122,124,123,125,123, 124,124,123,124,123,124,122,123,121,122,120,122,120,121,119,120,120,120,120,120,122,123,123,124, 125,126,128,128,130,130,131,131,131,131,130,130,129,129,128,127,127,126,124,125,123,124,122,124, 124,124,125,125,127,127,129,131,131,132,135,135,138,139,139,141,141,142,142,143,143,144,143,144, 143,143,141,142,139,139,136,137,133,133,130,131,128,128,126,127,126,126,126,126,128,127,129,129, 131,130,132,131,133,133,132,133,133,131,132,131,130,130,128,128,126,127,125,125,124,123,123,123, 124,123,124,124,125,125,127,126,128,128,130,130,131,132,133,134,134,135,135,135,135,133,134,133, 131,131,128,128,125,126,123,124,123,122,122,122,122,122,122,122,123,122,124,124,124,125,126,127, 127,129,130,131,133,132,135,135,135,135,135,135,134,134,133,131,131,129,129,128,127,126,126,125, 126,126,125,127,126,128,128,130,131,132,133,134,134,134,136,135,137,135,136,134,135,133,133,132, 132,130,130,129,129,128,127,128,125,126,124,125,124,125,124,125,126,126,128,128,130,130,133,132, 134,134,134,134,134,134,133,134,133,133,132,132,133,131,132,130,131,129,129,128,128,126,126,125, 125,125,123,124,124,124,125,124,126,127,128,127,130,129,131,131,131,132,132,132,132,131,131,129, 129,127,127,125,124,123,122,121,121,120,120,119,120,119,121,120,122,121,123,123,124,124,125,126, 126,127,128,127,129,128,129,128,129,128,128,127,127,127,125,125,123,124,121,122,120,122,121,121, 120,121,120,121,122,121,123,122,124,124,124,125,125,125,125,126,126,125,126,125,126,125,123,124, 123,123,121,121,119,120,118,118,116,115,115,113,113,113,112,113,113,114,115,115,116,117,119,119, 122,121,123,123,125,125,126,126,126,125,126,125,125,124,124,123,123,123,121,123,121,122,121,122, 122,121,122,121,122,121,123,123,123,124,123,124,124,125,126,126,127,127,127,128,127,128,127,128, 128,126,127,126,126,125,126,125,125,126,125,126,126,128,129,129,131,130,132,133,133,134,134,135, 134,135,135,135,136,134,135,134,134,133,133,131,131,129,129,129,126,127,125,125,123,124,123,122, 122,121,122,120,121,121,120,121,121,122,123,122,124,123,125,124,126,125,127,126,127,126,126,126, 126,126,126,126,127,126,127,127,128,128,128,129,128,129,129,130,129,131,131,132,133,132,135,135, 135,136,135,136,136,134,134,133,132,132,129,130,127,128,127,126,126,125,126,126,126,126,127,126, 128,128,130,130,130,132,133,132,134,134,135,135,137,136,137,137,137,138,137,139,138,139,139,138, 139,139,139,139,138,137,137,136,136,135,135,134,135,134,136,136,135,136,137,136,137,135,137,136, 136,135,135,133,133,132,132,132,131,132,130,131,129,130,128,129,127,129,128,128,129,129,128,130, 130,131,132,133,134,135,137,136,139,138,140,139,139,139,138,138,137,136,134,134,132,131,130,128, 127,126,125,125,123,124,123,124,123,124,123,123,124,123,124,123,124,124,123,124,125,124,125,124, 125,124,125,125,125,125,124,124,123,122,122,121,120,120,119,120,119,119,120,119,120,121,121,122, 123,122,124,125,125,126,126,127,128,126,128,126,127,125,126,124,124,124,121,122,119,120,118,118, 115,116,114,115,113,114,113,114,113,114,114,116,116,117,119,119,120,121,122,123,123,124,123,124, 123,123,121,122,120,120,119,118,118,117,116,116,114,115,115,114,115,115,114,115,114,116,115,117, 117,118,118,120,121,121,123,123,125,124,126,125,127,126,127,127,127,126,126,125,125,124,124,123, 123,123,121,123,121,123,122,124,124,126,127,127,130,129,132,132,133,134,135,134,136,136,135,136, 137,135,137,136,135,136,135,135,134,134,132,133,131,133,131,132,131,132,131,132,132,133,132,134, 134,134,135,134,136,135,137,136,138,138,137,137,136,136,135,134,133,131,131,129,128,127,126,125, 125,125,124,125,124,125,124,125,124,125,125,126,126,127,128,127,129,128,130,130,130,131,131,131, 131,130,130,129,129,128,126,127,125,126,125,126,125,127,126,127,127,128,128,129,129,130,130,129, 131,130,131,130,132,131,131,131,130,131,130,130,128,129,127,127,125,126,124,125,124,123,123,122, 122,121,122,121,122,122,123,124,124,126,127,129,130,132,132,134,135,136,136,135,137,135,136,135, 135,134,135,133,133,133,132,131,131,130,128,129,127,128,128,128,128,128,127,128,128,129,129,130, 131,131,132,132,132,131,132,131,131,131,129,130,128,129,128,128,127,127,126,127,126,127,127,127, 128,129,129,130,130,131,132,131,133,133,132,133,133,134,134,133,134,133,134,133,134,133,133,132, 132,131,131,130,128,128,125,126,123,124,122,123,121,122,121,122,122,123,123,124,125,125,125,126, 126,127,127,128,128,128,129,128,129,128,128,127,127,127,127,127,126,127,126,127,126,126,127,126, 128,129,129,130,131,130,131,130,131,130,131,130,131,129,130,127,128,125,125,124,121,122,120,121, 118,119,118,117,118,118,117,119,118,119,120,120,122,122,122,123,122,123,124,124,124,125,126,125, 126,125,126,126,125,125,125,123,124,122,122,121,119,119,117,118,117,119,117,118,118,117,119,118, 120,120,122,124,124,126,126,126,125,125,124,125,125,127,128,128,129,129,129,127,126,125,124,123, 123,123,123,122,122,121,121,120,122,121,123,124,127,128,129,131,133,132,135,135,136,137,137,136, 137,135,136,134,135,134,133,133,131,132,131,130,127,125,122,120,119,117,117,116,118,117,120,120, 123,124,126,128,129,132,135,135,139,138,141,140,140,141,140,141,142,142,144,144,144,147,145,146, 143,142,138,136,134,133,130,131,131,130,130,127,126,121,120,117,115,114,114,115,116,118,121,122, 126,128,131,131,133,133,134,135,134,136,135,138,138,141,142,144,144,145,143,143,142,141,141,141, 141,142,142,140,140,137,137,134,135,134,136,136,137,136,138,137,134,133,129,127,123,120,117,114, 111,108,106,104,103,101,102,101,103,102,104,102,104,102,102,102,102,103,103,103,105,104,105,105, 103,103,103,101,102,102,102,101,100, 98, 96, 92, 90, 87, 86, 86, 85, 87, 87, 89, 91, 91, 94, 94, 97, 98,101,102,104,106,107,111,113,117,120,122,126,127,130,130,130,131,129,130,129,127,128,127, 126,128,126,128,126,128,127,128,129,130,133,135,140,144,151,155,162,167,170,174,176,179,180,181, 182,180,180,179,175,173,169,167,163,160,156,155,152,153,151,151,150,149,148,144,141,137,132,128, 123,119,115,110,109,106,106,105,105,104,105,103,104,103,103,104,104,106,106,108,108,110,111,112, 113,115,116,118,119,121,121,123,121,122,119,118,114,112,109,107,104,104,104,104,106,107,110,111, 112,114,114,115,115,115,117,117,120,122,122,126,126,129,129,129,131,130,132,133,135,138,140,143, 146,147,149,150,151,153,153,155,155,157,155,156,155,154,152,153,151,153,152,152,153,153,152,153, 152,154,155,157,157,159,158,158,155,154,151,150,149,151,151,154,156,160,161,163,165,164,165,164, 166,168,171,173,176,178,179,181,180,178,177,173,170,166,161,158,153,151,149,145,145,142,142,140, 141,139,140,139,141,142,142,145,147,149,151,151,153,154,154,154,153,155,154,157,157,159,160,160, 160,159,159,156,155,151,149,145,143,139,139,136,136,133,133,131,130,126,124,121,116,113,108,106, 103,101, 97, 94, 90, 84, 81, 77, 74, 73, 71, 71, 71, 72, 72, 72, 71, 72, 71, 70, 70, 68, 69, 68, 68, 69, 70, 69, 71, 72, 73, 72, 73, 72, 70, 68, 66, 64, 64, 63, 64, 65, 65, 66, 65, 67, 65, 66, 65, 64, 65, 64, 66, 66, 69, 71, 76, 78, 84, 88, 94, 96,101,104,107,110,112,115,116,115,116,114, 114,113,109,109,106,106,104,104,105,107,108,112,113,116,119,121,123,126,129,130,134,136,141,144, 149,151,155,156,158,158,160,160,161,161,162,162,163,162,162,162,160,158,156,152,149,146,142,141, 137,136,134,132,133,131,133,131,131,128,128,125,123,122,120,118,118,116,116,115,115,115,115,117, 118,121,123,126,130,132,134,134,135,132,131,126,123,118,116,112,112,110,110,108,109,109,110,110, 113,114,115,115,117,116,117,116,115,115,113,114,113,114,113,115,113,115,114,117,118,122,125,129, 133,134,137,138,137,138,138,139,140,143,145,149,153,155,158,158,159,159,159,161,162,164,164,166, 165,166,163,163,160,159,155,155,153,154,154,156,157,160,161,164,167,168,170,169,170,168,168,167, 167,168,168,171,173,176,178,179,180,181,179,179,176,176,174,174,172,171,167,162,158,152,148,142, 138,133,131,129,129,129,129,132,133,136,138,141,142,144,145,146,148,148,151,153,155,157,158,157, 157,156,155,154,153,152,150,151,150,152,151,152,151,149,149,147,147,144,143,141,138,136,134,131, 129,125,123,117,114,108,104, 99, 97, 94, 92, 90, 87, 84, 81, 78, 74, 70, 67, 64, 63, 62, 63, 64, 66, 67, 71, 73, 76, 79, 81, 82, 82, 82, 80, 80, 76, 75, 71, 70, 67, 66, 63, 64, 61, 62, 60, 59, 60, 59, 61, 61, 64, 67, 68, 72, 74, 79, 81, 85, 87, 91, 94, 99,103,107,112,115,119,120,121,119, 119,115,113,108,105,100, 98, 94, 92, 91, 90, 89, 90, 91, 95,101,107,114,123,130,139,146,153,160, 165,171,174,175,177,176,176,174,173,169,166,163,158,155,152,147,144,140,137,134,133,131,131,130, 130,131,132,134,137,140,142,145,146,149,150,152,153,154,153,150,148,142,138,131,125,119,112,108, 105,101, 99, 97, 95, 96, 95, 99,100,105,106,111,114,117,122,127,132,138,142,148,151,155,157,160, 160,161,161,161,159,158,156,150,143,135,125,117,108,101, 93, 89, 84, 82, 80, 82, 83, 88, 90, 93, 99,106,115,123,133,140,149,156,164,169,176,180,183,186,187,186,186,184,180,177,172,169,165,159, 155,149,144,138,130,126,120,119,116,118,118,124,128,135,141,147,153,157,163,167,173,176,180,184, 189,191,193,192,193,189,188,184,179,175,171,165,162,158,156,153,151,149,147,145,142,140,137,138, 137,139,139,141,145,146,149,149,151,152,154,154,155,155,154,151,150,146,144,142,137,134,128,124, 119,115,113,112,112,113,114,116,119,123,127,131,134,140,143,148,154,157,162,164,166,168,169,167, 165,161,155,149,142,135,127,119,110,102, 93, 86, 79, 72, 67, 62, 55, 53, 48, 48, 47, 48, 50, 53, 57, 62, 68, 74, 79, 82, 88, 90, 95, 97, 99,101,101,101, 98, 94, 89, 85, 80, 72, 67, 60, 53, 50, 46, 46, 43, 43, 42, 42, 42, 45, 47, 52, 55, 61, 66, 72, 78, 83, 90, 95,101,106,112,116,122,124, 126,124,122,121,118,114,107,102, 95, 90, 83, 77, 74, 71, 67, 69, 69, 72, 77, 82, 90, 98,108,117, 127,135,142,150,157,162,170,175,181,184,188,188,189,187,185,182,178,175,170,166,161,158,152,148, 142,137,132,129,127,127,126,128,130,133,137,140,146,150,153,156,159,159,162,160,160,158,155,153, 151,149,145,143,138,135,130,128,124,123,121,120,120,121,123,124,126,129,129,134,135,140,143,146, 150,153,157,160,164,167,167,168,166,164,160,156,151,145,138,130,122,114,107,100, 93, 86, 80, 76, 72, 71, 70, 74, 78, 83, 90, 97,105,112,120,125,130,136,141,146,154,158,165,168,173,173,176,173, 173,168,162,157,151,144,139,133,129,126,122,122,120,122,121,125,125,129,133,137,143,147,152,157, 161,166,169,173,177,178,182,182,185,186,188,187,188,186,187,184,181,179,174,170,166,161,158,155, 153,151,151,150,151,151,151,150,150,150,150,152,154,157,159,161,164,165,166,165,167,165,164,162, 160,157,153,151,145,142,135,132,127,122,119,116,115,113,115,116,120,122,127,130,133,136,140,141, 143,141,142,138,138,136,133,131,127,124,120,114,110,103, 98, 91, 86, 79, 74, 71, 67, 65, 62, 61, 58, 59, 59, 63, 64, 69, 71, 77, 80, 86, 91, 95, 99,100,103,104,104,104,102, 98, 92, 87, 81, 74, 68, 60, 53, 47, 39, 35, 29, 26, 23, 21, 19, 21, 21, 25, 28, 34, 38, 44, 49, 56, 61, 68, 75, 80, 89, 95,103,110,117,120,124,124,124,121,119,115,111,106,101, 97, 91, 88, 83, 80, 76, 77, 76, 79, 84, 89, 96,103,109,117,123,130,135,142,146,151,155,159,162,165,165,166,165,166,164,164,162,159, 157,153,151,148,146,144,144,144,147,149,154,158,161,164,167,168,172,174,175,176,176,178,178,177, 177,173,172,167,165,161,157,154,150,147,143,140,137,132,130,128,124,122,120,121,122,124,128,131, 135,139,144,147,151,153,155,156,159,161,162,165,167,169,169,169,167,163,160,155,148,142,135,129, 123,119,115,111,109,107,108,107,109,110,111,112,116,121,126,131,139,146,151,158,163,166,171,172, 174,172,172,168,167,162,159,153,149,142,138,132,128,123,119,116,114,114,114,118,120,126,129,135, 138,143,145,150,153,157,162,166,172,176,182,186,188,191,192,192,191,188,187,182,179,174,170,165, 160,154,149,144,141,139,137,136,137,137,139,140,143,145,146,148,149,151,151,154,155,158,159,162, 163,165,166,166,166,163,159,156,150,145,138,133,126,123,119,119,117,119,119,123,125,130,132,137, 141,144,148,151,153,155,156,156,157,154,154,150,146,142,135,129,122,115,107,100, 90, 82, 72, 65, 58, 50, 46, 41, 38, 36, 37, 38, 41, 45, 50, 55, 62, 67, 74, 81, 87, 93, 99,103,106,111,112,114, 113,112,108,102, 96, 89, 83, 75, 69, 60, 55, 48, 43, 37, 33, 30, 25, 25, 24, 24, 27, 30, 34, 39, 42, 49, 53, 61, 67, 75, 81, 89, 94,101,105,106,108,107,106,102, 98, 93, 87, 81, 73, 67, 61, 55, 52, 49, 49, 50, 54, 59, 65, 73, 80, 87, 94,101,110,118,127,135,144,150,157,161,166,167,169,167, 167,164,163,158,156,151,148,142,139,133,130,125,124,121,119,120,120,122,123,126,127,130,133,135, 137,139,140,143,144,147,151,154,156,159,159,160,160,158,158,154,153,149,148,145,145,144,142,143, 142,144,144,145,146,145,147,147,149,151,155,158,161,164,167,168,170,169,170,168,168,165,165,161, 160,157,153,149,144,139,133,128,122,117,111,109,107,106,108,111,115,120,126,131,138,144,149,155, 159,166,171,174,179,181,183,183,181,177,175,170,167,162,157,153,148,145,141,139,135,132,128,127, 125,124,124,124,125,126,128,130,133,136,139,143,148,153,158,165,170,176,180,185,188,189,191,190, 189,188,185,182,179,176,173,170,168,165,165,163,163,161,161,158,158,157,155,155,153,155,155,158, 158,161,162,165,166,166,165,164,162,157,155,149,144,139,133,129,123,119,114,110,108,106,107,109, 110,114,116,121,125,129,131,136,138,143,146,149,152,153,156,156,156,156,156,154,150,147,141,136, 129,123,115,108,101, 92, 87, 80, 75, 70, 65, 62, 58, 59, 57, 60, 61, 63, 67, 69, 73, 76, 78, 82, 83, 86, 87, 89, 90, 90, 90, 88, 86, 81, 78, 74, 69, 64, 60, 55, 49, 46, 42, 41, 38, 39, 40, 41, 44, 46, 51, 54, 59, 64, 68, 74, 79, 87, 93, 98,104,107,111,111,112,109,107,102, 98, 93, 88, 81, 77, 71, 64, 59, 53, 50, 48, 46, 47, 48, 52, 55, 61, 67, 74, 82, 90, 98,104,113,119,127,133,140, 145,152,157,160,165,166,169,169,169,168,167,166,164,163,162,161,160,160,159,158,157,155,154,153, 150,150,148,149,148,150,151,152,153,154,153,153,152,150,149,147,147,144,144,143,142,140,139,136, 135,131,130,128,128,129,129,133,136,139,145,149,154,158,163,167,168,172,174,177,178,181,183,186, 187,186,186,183,180,174,168,161,153,145,136,129,120,114,106,100, 94, 90, 86, 85, 84, 87, 89, 94, 98,105,110,118,124,131,135,139,144,147,152,153,156,156,158,157,158,156,156,155,153,151,149,147, 144,142,140,138,136,133,132,131,131,131,130,130,132,133,137,142,145,151,155,160,167,170,175,178, 180,180,181,180,180,179,177,176,173,170,168,164,161,156,153,149,145,144,142,140,140,140,141,141, 144,147,149,154,157,163,167,171,175,177,181,181,182,181,179,178,176,170,167,161,156,149,144,138, 132,130,125,124,121,119,118,117,117,117,119,121,123,124,128,129,132,133,134,136,136,137,136,136, 135,132,131,126,123,117,113,107,100, 95, 89, 86, 82, 78, 77, 75, 76, 75, 77, 79, 80, 84, 86, 90, 93, 96,100,102,106,108,111,112,112,112,109,107,103, 98, 94, 86, 81, 74, 68, 60, 53, 47, 39, 34, 28, 25, 22, 20, 21, 21, 24, 28, 34, 42, 49, 59, 66, 76, 83, 92, 99,106,112,118,123,125,129,130, 131,129,126,122,117,113,108,101, 97, 92, 88, 85, 82, 80, 80, 79, 80, 82, 83, 87, 90, 96,100,106, 110,116,121,125,128,130,133,134,133,135,136,138,139,141,143,144,145,146,145,145,143,143,141,142, 141,143,144,145,147,149,150,153,155,155,156,156,158,158,160,160,163,163,166,166,166,166,163,160, 155,151,146,141,135,132,127,124,120,119,116,115,114,112,113,114,114,115,118,121,125,128,133,137, 140,144,147,151,155,157,160,161,164,163,163,161,157,153,147,143,136,129,125,119,116,112,110,108, 109,109,112,114,116,120,123,125,129,131,135,136,138,138,139,138,139,137,137,134,134,131,130,127, 127,123,122,118,115,111,109,106,102, 99, 97, 94, 96, 96,100,103,109,115,120,128,134,142,149,157, 165,171,180,185,193,196,201,202,205,206,204,204,201,195,190,183,176,168,162,154,149,142,138,133, 130,126,125,124,123,124,125,128,132,134,139,141,145,148,149,151,153,153,155,156,156,157,155,153, 151,147,145,141,139,137,136,135,134,135,135,137,138,141,144,147,150,153,157,160,164,166,168,170, 169,170,169,167,163,160,154,148,141,134,125,117,109, 99, 92, 83, 77, 70, 65, 60, 58, 55, 55, 54, 57, 60, 64, 70, 76, 83, 90, 96,104,110,117,122,128,132,138,142,144,147,146,145,141,136,130,120, 113,103, 95, 85, 78, 70, 65, 60, 56, 54, 51, 52, 51, 54, 57, 60, 65, 68, 74, 79, 82, 88, 92, 96, 98,102,102,104,104,105,103,102, 99, 97, 92, 89, 84, 80, 75, 72, 70, 67, 68, 70, 73, 78, 83, 91, 98,106,114,121,128,134,141,146,152,156,162,166,170,173,176,177,178,176,175,171,169,165,160,157, 153,150,146,141,138,135,131,128,124,121,117,116,114,115,117,119,123,126,130,135,139,143,146,151, 155,158,163,165,169,171,171,171,169,168,165,163,159,158,155,152,149,148,145,144,143,141,140,139, 139,138,138,139,140,141,143,144,145,145,146,145,145,143,142,139,134,130,125,118,113,105,100, 94, 90, 85, 83, 81, 80, 81, 82, 87, 90, 97,103,109,116,122,129,134,140,144,150,155,160,165,170,174, 177,179,180,179,178,176,171,167,161,155,148,141,133,127,120,115,108,105,100, 98, 94, 93, 90, 91, 91, 93, 96,101,105,112,118,125,131,138,145,152,158,162,169,172,174,176,177,174,174,169,168,165, 162,161,158,158,157,157,156,155,155,155,154,155,155,155,157,157,158,156,157,157,156,156,155,153, 152,148,146,142,138,133,128,122,117,112,107,103, 99, 95, 94, 92, 93, 94, 95,100,103,108,115,120, 127,132,139,144,149,153,156,159,160,163,164,163,163,160,156,152,145,140,132,125,118,112,105,100, 95, 89, 86, 81, 78, 73, 71, 68, 68, 67, 68, 69, 72, 74, 78, 83, 85, 90, 93, 97, 99, 99,100, 99, 98, 94, 92, 87, 83, 78, 72, 68, 63, 58, 55, 52, 53, 53, 56, 59, 64, 68, 74, 81, 87, 92, 99,105, 110,116,120,127,131,135,139,141,144,144,142,139,135,128,121,113,106, 97, 91, 85, 78, 74, 70, 68, 65, 65, 63, 65, 65, 68, 71, 77, 82, 90, 97,103,111,117,124,130,136,142,147,154,160,166,173,178, 184,187,191,193,193,193,191,190,188,183,181,177,172,170,164,161,157,152,149,146,143,142,140,140, 139,141,141,141,143,143,143,144,143,143,141,141,138,137,134,132,129,126,125,123,124,124,123,125, 126,129,131,134,137,141,145,151,155,161,165,169,173,177,179,182,186,187,188,186,186,181,177,170, 164,156,147,139,131,124,116,111,104,101, 95, 93, 90, 89, 88, 86, 87, 87, 89, 91, 95, 98,103,109, 113,119,124,130,135,140,143,148,150,152,154,154,156,155,153,151,148,146,144,141,139,137,133,132, 129,128,126,126,125,127,127,131,134,139,142,148,151,156,159,164,165,168,168,169,167,165,161,157, 152,148,143,139,134,131,127,126,123,122,121,122,122,122,124,126,129,132,134,139,141,147,150,156, 160,164,171,175,180,182,185,185,186,183,181,176,171,164,157,149,142,136,130,124,119,115,110,108, 104,104,103,103,103,103,106,107,111,112,115,116,116,118,117,118,117,117,116,114,112,110,107,106, 103,101, 97, 95, 91, 89, 87, 84, 84, 82, 82, 82, 84, 86, 89, 92, 94, 99,102,108,112,116,119,124, 125,128,127,127,124,118,113,105, 97, 87, 79, 69, 62, 54, 48, 42, 36, 33, 29, 27, 25, 23, 24, 25, 27, 32, 36, 43, 49, 58, 66, 74, 83, 90, 98,105,110,117,122,127,131,135,137,138,137,136,132,129, 124,120,117,112,110,107,106,104,104,103,103,103,104,104,105,106,107,108,111,112,116,119,122,127, 130,135,139,144,147,151,154,158,160,160,162,160,161,160,158,158,157,154,154,152,152,151,150,153, 153,157,160,163,167,169,174,176,181,184,186,189,191,193,193,194,192,188,185,179,174,167,163,158, 153,147,141,136,130,127,121,119,116,115,113,114,114,117,118,121,125,128,132,135,140,142,146,148, 152,152,155,154,156,156,154,154,152,149,148,144,143,139,137,134,132,130,127,128,126,126,125,126, 126,126,128,128,130,131,132,134,135,136,138,138,140,138,138,138,137,134,132,129,126,121,117,112, 109,103,100, 95, 93, 90, 90, 90, 94, 96,102,108,116,124,131,142,150,159,169,177,186,192,198,203, 205,208,208,208,205,203,199,193,189,182,177,170,166,159,154,147,143,136,132,126,122,117,115,112, 111,112,112,115,117,120,123,127,130,134,137,139,142,143,145,145,146,146,145,144,142,141,139,138, 137,137,136,138,138,141,143,145,149,150,153,153,155,154,155,154,154,151,151,149,146,145,141,138, 132,128,121,116,109,100, 94, 87, 79, 73, 65, 60, 52, 48, 43, 41, 38, 39, 40, 43, 47, 53, 60, 67, 75, 82, 91, 97,104,108,113,115,119,120,121,122,120,119,116,111,107,101, 96, 90, 83, 78, 72, 68, 65, 62, 61, 59, 59, 59, 58, 59, 59, 61, 61, 64, 65, 69, 71, 76, 79, 83, 85, 88, 89, 89, 90, 90, 88, 88, 85, 84, 83, 80, 81, 80, 79, 80, 80, 82, 85, 86, 90, 92, 97, 99,104,108,113,117,122,126, 132,135,141,145,151,157,162,167,171,175,178,179,179,176,175,171,167,161,157,150,145,138,132,126, 119,115,110,108,105,105,106,107,109,112,115,120,124,128,135,140,146,151,157,160,165,169,171,173, 175,175,176,175,175,173,171,169,167,164,163,160,161,160,159,160,159,158,158,157,157,157,155,155, 153,154,154,153,153,151,151,149,148,145,143,140,137,132,129,124,119,115,111,107,105,102,101,100, 102,103,107,110,114,119,123,129,134,140,145,151,156,163,169,174,180,184,189,190,192,191,190,188, 183,178,170,163,153,145,135,126,119,111,105,100, 96, 93, 92, 92, 93, 94, 99,102,109,115,120,128, 133,140,146,150,156,160,164,167,171,173,176,177,179,178,179,178,175,174,171,169,165,164,162,159, 158,157,156,154,155,153,154,154,154,156,157,158,159,160,161,162,161,161,158,155,150,147,140,136, 131,124,121,115,113,109,108,105,106,104,106,107,110,112,115,118,122,127,130,135,138,143,145,150, 153,157,159,162,164,164,166,164,164,160,157,150,144,135,127,117,110,101, 95, 88, 83, 78, 76, 73, 72, 70, 70, 69, 71, 71, 73, 74, 77, 79, 83, 85, 88, 89, 90, 89, 88, 86, 82, 80, 76, 74, 70, 68, 66, 64, 61, 60, 57, 58, 58, 59, 61, 63, 66, 69, 73, 77, 82, 86, 91, 95,100,103,108,111,113,116, 117,118,117,116,115,112,111,106,104, 98, 95, 89, 86, 82, 78, 75, 71, 69, 66, 65, 62, 62, 60, 62, 62, 65, 66, 72, 74, 81, 86, 95,102,112,120,131,141,150,159,167,175,179,185,187,191,191,192,191, 188,183,180,174,169,163,159,154,149,146,140,138,134,132,129,126,125,124,125,126,128,130,132,134, 135,135,136,135,135,134,132,130,128,127,125,124,122,123,122,123,123,126,126,129,131,134,136,139, 141,144,146,148,151,153,157,160,162,166,167,170,170,171,169,168,165,161,157,151,145,139,134,126, 121,114,110,105,100, 97, 93, 92, 90, 88, 88, 88, 87, 90, 92, 95,101,107,112,120,126,133,139,146, 151,157,160,164,165,167,167,165,163,159,157,153,148,146,143,139,138,136,138,137,139,141,142,145, 146,149,151,155,156,160,163,164,168,170,172,175,175,176,175,174,172,170,168,164,161,156,154,150, 148,144,142,138,136,135,133,134,134,136,138,142,144,150,153,160,163,170,173,179,182,186,187,190, 190,191,189,189,186,182,179,174,170,165,160,155,151,146,144,140,137,133,130,129,124,123,119,118, 116,115,116,117,119,121,123,126,126,128,128,128,125,124,121,119,117,113,112,108,107,103,101, 97, 96, 94, 93, 94, 93, 96, 97,100,102,104,107,111,112,115,116,118,118,119,118,116,114,110,108,102, 99, 92, 87, 79, 74, 66, 61, 55, 49, 45, 40, 38, 36, 34, 35, 34, 36, 38, 40, 44, 47, 53, 57, 63, 68, 73, 79, 84, 90, 95,101,105,110,113,118,120,123,123,126,125,126,123,123,119,118,115,111,107, 104, 99, 97, 93, 92, 89, 88, 87, 85, 87, 87, 90, 92, 97,102,108,114,119,126,130,136,140,143,147, 149,151,151,152,152,150,150,148,147,145,142,140,138,137,134,134,133,134,135,137,138,143,146,149, 154,157,161,164,167,168,171,171,170,170,167,166,162,159,155,152,147,144,140,136,132,128,123,121, 117,115,111,110,107,105,105,105,107,108,110,114,117,122,126,131,134,138,142,143,147,148,151,151, 152,151,150,150,147,146,142,140,137,133,132,128,127,124,123,121,121,121,119,121,122,123,126,128, 131,133,137,139,142,142,144,143,142,139,136,132,128,122,119,114,110,107,103,102,100, 98, 97, 96, 97, 98,101,104,107,113,117,125,131,137,145,151,159,166,173,178,185,189,194,197,198,200,199,199, 196,193,188,184,177,172,165,160,153,149,143,139,135,131,129,125,124,123,122,123,123,126,128,132, 133,136,139,141,144,146,146,147,149,148,151,151,154,154,157,156,158,157,156,156,154,154,153,154, 153,155,155,157,157,157,159,159,160,160,160,158,158,156,155,153,150,145,143,137,133,127,122,116, 109,103, 97, 91, 87, 81, 79, 76, 73, 73, 72, 73, 74, 76, 78, 81, 84, 88, 91, 96, 98,104,105,110, 111,115,116,117,117,117,115,114,111,109,107,102,100, 97, 93, 91, 87, 85, 82, 80, 78, 75, 75, 73, 73, 71, 71, 70, 70, 69, 70, 72, 71, 74, 76, 78, 81, 82, 86, 87, 90, 90, 93, 94, 94, 95, 96, 94, 95, 93, 94, 92, 92, 90, 91, 91, 90, 93, 93, 96, 98,103,106,113,117,125,130,137,143,148,155,159, 165,168,173,175,179,178,180,178,177,173,171,166,161,156,150,143,138,131,125,122,117,115,112,112, 110,113,113,116,118,122,124,129,131,136,140,142,147,149,153,156,159,160,163,163,166,166,167,165, 166,163,163,160,159,156,155,153,150,149,146,145,142,142,141,139,139,137,138,137,138,137,139,138, 139,137,137,135,134,130,128,125,121,118,114,111,109,105,103, 99, 98, 96, 96, 96, 96, 99,102,108, 113,118,125,131,139,144,151,156,161,164,168,169,171,170,170,168,165,163,159,153,149,142,138,131, 125,120,115,111,108,104,102,100, 98, 99, 99, 99,102,104,109,112,118,122,128,134,140,144,150,153, 158,161,164,165,167,167,169,167,168,167,166,164,161,160,157,155,152,152,151,150,150,150,151,150, 151,152,151,150,150,150,149,150,149,150,150,148,148,146,145,141,139,135,132,128,123,119,115,111, 110,107,106,105,104,105,105,107,108,112,114,117,121,125,130,133,138,141,145,147,149,150,152,151, 151,150,147,145,141,138,133,129,125,119,116,111,108,103,101, 97, 95, 92, 91, 90, 88, 87, 88, 87, 88, 88, 89, 90, 90, 89, 90, 89, 90, 90, 89, 88, 87, 86, 85, 83, 84, 82, 84, 82, 84, 83, 85, 85, 87, 87, 89, 91, 92, 94, 96, 97,100,102,106,108,111,114,116,120,121,125,127,129,131,131,133,131, 132,128,127,122,119,114,109,103, 99, 93, 89, 84, 81, 77, 75, 73, 73, 73, 75, 76, 80, 84, 89, 95, 101,108,116,123,132,139,148,154,162,167,174,177,181,183,184,184,182,181,178,175,171,168,163,160, 157,152,150,146,144,142,140,138,137,135,134,134,132,133,132,133,134,133,134,133,134,134,134,134, 133,133,132,130,131,129,130,128,130,128,129,129,129,130,129,131,130,133,134,138,140,144,148,151, 154,159,161,165,167,169,171,171,172,170,170,167,163,159,153,147,141,133,127,120,114,108,103,100, 97, 95, 93, 93, 93, 94, 96, 98,100,104,107,112,116,119,123,127,129,133,135,138,140,140,142,141, 142,141,141,140,139,138,137,135,134,132,130,130,129,130,129,131,132,136,137,141,142,146,147,151, 152,155,156,159,159,162,161,161,160,157,155,151,149,144,141,138,134,132,129,127,126,123,124,121, 121,120,120,120,121,122,124,126,130,133,138,143,146,151,153,158,160,164,165,167,167,168,166,165, 163,160,157,154,151,146,144,140,135,133,128,126,122,121,118,117,115,115,114,113,114,113,113,112, 112,111,112,112,110,111,109,109,107,107,105,104,104,101,102,100,101,100,100,101,102,102,104,105, 108,109,112,114,114,117,118,120,118,120,117,118,114,114,111,108,107,103,102, 97, 96, 91, 90, 85, 84, 79, 78, 74, 74, 72, 69, 68, 66, 65, 64, 63, 62, 62, 63, 64, 67, 71, 73, 79, 84, 89, 95,101, 106,113,117,123,126,130,132,134,135,134,135,133,133,129,129,126,123,121,117,115,111,110,108,107, 106,106,105,107,109,110,114,117,122,125,130,134,137,141,144,145,148,149,149,150,149,149,148,146, 147,144,145,144,142,142,141,142,140,142,140,143,143,146,148,150,153,155,158,161,162,164,166,167, 168,168,170,170,169,169,167,166,163,160,157,154,152,146,144,139,136,132,128,126,122,118,116,113, 112,111,111,113,113,117,118,123,125,130,133,137,139,143,144,146,146,147,146,145,143,142,141,138, 138,135,135,133,133,132,132,130,131,132,131,133,133,136,136,138,138,138,138,137,138,138,138,137, 137,136,136,134,131,129,125,123,121,116,115,111,111,108,108,107,107,106,107,107,110,112,114,120, 123,130,135,142,148,154,160,164,169,172,176,178,181,181,183,181,182,180,180,178,175,173,169,166, 161,158,152,149,143,140,134,131,126,124,121,119,118,117,117,117,117,118,119,121,122,125,127,128, 131,132,133,135,135,136,137,138,138,139,139,140,140,141,142,141,142,142,143,143,144,145,143,145, 143,145,144,144,141,142,140,138,137,134,133,129,128,123,121,116,112,108,104,101, 96, 93, 90, 88, 85, 84, 82, 82, 81, 81, 80, 82, 81, 84, 83, 87, 88, 90, 92, 94, 95, 98, 99,102,105,107,109,110, 111,113,115,116,117,116,118,115,116,113,112,108,107,103, 98, 96, 91, 89, 85, 83, 81, 79, 78, 77, 78, 79, 78, 81, 80, 83, 83, 86, 86, 88, 89, 90, 91, 92, 93, 93, 93, 93, 92, 92, 91, 91, 90, 91, 90, 89, 90, 91, 91, 94, 96,101,103,109,115,120,126,131,135,141,145,150,153,157,160,162,163,164, 164,163,161,159,156,154,150,147,143,139,135,131,127,124,121,117,116,113,112,112,111,113,112,116, 117,119,123,126,128,133,135,139,142,146,149,153,156,159,162,162,165,165,168,167,168,166,166,163, 161,158,157,155,151,151,149,150,148,150,150,149,150,149,150,149,150,149,149,148,146,144,141,138, 135,132,128,126,123,122,120,119,118,118,117,118,119,120,120,123,124,128,129,134,136,142,145,149, 152,154,158,160,163,164,166,167,167,167,166,165,163,161,158,153,150,144,141,135,131,127,122,120, 117,115,114,114,113,115,114,117,117,121,122,123,126,128,130,133,134,138,139,143,144,147,150,150, 153,152,155,155,155,156,157,155,156,153,154,153,151,149,149,149,148,148,146,147,146,147,145,147, 145,147,145,146,145,144,143,141,140,137,136,133,131,128,127,123,122,119,119,116,116,115,113,114, 112,113,112,114,115,116,118,119,121,123,125,127,129,131,131,134,134,136,136,136,137,135,137,134, 135,133,131,129,127,126,123,121,117,115,113,109,107,105,103,100, 98, 97, 93, 92, 89, 89, 87, 85, 85, 84, 85, 84, 86, 86, 88, 87, 90, 89, 92, 92, 91, 92, 91, 92, 91, 91, 90, 91, 91, 90, 92, 92, 94, 96, 96,100,101,104,107,110,112,115,116,119,119,122,123,124,125,124,123,121,119,116,113,109, 105,101, 97, 93, 90, 85, 83, 80, 79, 77, 77, 78, 78, 81, 82, 87, 89, 95, 99,103,110,114,121,126, 133,137,144,147,153,156,159,163,165,167,168,167,168,166,165,163,159,158,153,151,147,145,141,141, 138,137,135,134,133,132,131,131,129,129,128,129,128,129,130,131,130,131,130,131,130,128,129,126, 127,124,125,122,123,122,120,121,121,123,123,126,129,132,134,140,142,147,150,154,157,160,161,163, 162,163,163,161,160,157,157,153,151,147,145,140,138,133,130,126,124,120,118,115,115,112,112,111, 110,111,110,110,112,112,114,116,119,121,125,127,131,134,136,138,140,141,142,141,142,142,142,141, 141,141,141,141,142,142,142,144,144,146,146,148,148,151,152,153,153,154,155,155,156,156,156,155, 156,155,155,154,153,151,150,147,147,143,142,138,137,134,131,129,126,125,124,123,122,123,123,125, 125,127,129,132,134,138,140,144,147,150,152,153,157,158,159,160,160,161,160,159,160,158,156,154, 152,150,148,145,142,140,136,133,131,129,125,124,119,119,115,115,112,112,110,110,109,109,109,108, 109,108,109,109,109,109,110,111,111,113,113,114,115,115,116,116,117,117,118,118,117,119,117,119, 118,118,118,118,119,119,119,119,120,119,120,118,118,117,114,113,110,108,106,101, 99, 95, 91, 88, 84, 82, 78, 77, 74, 74, 71, 72, 71, 73, 73, 77, 79, 82, 86, 90, 95,100,104,107,112,116,119,121, 123,123,126,126,126,127,126,126,124,124,121,121,118,118,117,116,114,115,113,115,114,116,115,117, 117,120,120,123,124,126,128,130,132,132,135,135,137,135,137,135,136,134,134,132,132,130,131,130, 130,128,128,128,129,128,130,131,132,134,134,138,139,142,143,147,147,151,151,154,154,156,157,156, 157,156,154,152,149,146,143,138,135,130,127,122,120,118,115,114,113,113,112,112,113,114,115,116, 118,120,121,123,123,126,126,128,129,128,130,130,130,131,132,131,133,132,135,135,136,136,137,136, 135,136,135,136,135,135,134,134,132,134,132,134,132,134,133,134,132,132,131,128,128,125,124,122, 120,117,115,113,112,109,109,106,107,105,106,107,106,109,109,112,114,116,120,123,126,130,134,137, 142,145,150,153,157,159,163,164,168,168,170,171,171,170,169,167,165,162,158,155,152,148,144,139, 137,134,131,129,127,124,124,123,122,121,122,123,123,123,125,126,127,128,128,130,132,133,135,136, 138,140,142,144,147,148,150,151,151,153,153,155,154,155,155,154,154,155,152,154,151,151,149,149, 146,146,145,142,142,139,137,136,134,133,130,128,126,124,122,120,118,114,113,110,107,104,102, 99, 97, 96, 93, 93, 91, 92, 91, 94, 94, 97, 99,103,105,109,111,115,117,120,122,125,127,129,129,131, 130,131,128,127,125,121,119,115,112,109,105,104,100,100, 97, 97, 95, 96, 95, 96, 96, 97, 96, 98, 97, 98, 97, 98, 99, 99, 99, 99, 98, 99, 99, 99, 99, 99, 99, 99,100,101,100,103,103,105,106,110, 112,115,117,122,124,130,134,137,142,145,150,153,156,158,161,161,164,164,164,162,163,160,159,156, 152,149,146,141,138,134,129,127,122,120,116,115,112,111,108,109,108,110,109,112,113,117,118,121, 125,127,131,134,136,139,141,141,144,144,146,145,147,145,146,144,145,144,142,142,141,142,141,140, 141,140,141,141,139,140,139,137,136,134,133,131,129,126,125,122,122,119,118,116,114,113,111,110, 109,108,106,105,103,104,102,103,102,104,104,108,108,112,114,119,121,125,128,130,134,136,139,140, 141,143,143,144,144,144,145,142,143,140,140,137,136,134,131,129,127,125,123,122,119,119,117,117, 114,116,113,115,114,116,115,118,119,122,124,125,129,130,134,135,139,140,142,144,145,146,146,147, 147,147,147,146,146,145,146,146,146,146,147,147,146,148,147,149,147,149,148,148,148,147,148,146, 147,145,146,145,144,143,142,140,138,137,134,133,132,129,128,125,124,122,120,120,118,119,116,118, 117,117,118,119,120,121,123,124,126,127,130,132,133,136,138,140,142,144,145,146,147,146,145,142, 140,136,134,130,127,122,119,117,113,111,107,106,103,102,100, 99, 99, 99, 99, 98,100,101,102,103, 104,106,108,107,109,107,108,108,107,106,106,105,105,104,105,104,106,106,108,109,111,113,116,118, 121,123,126,127,129,130,132,132,134,133,135,134,133,133,131,130,127,126,122,120,116,114,109,107, 104,102, 99, 99, 98, 96, 97, 97, 99,101,101,105,108,110,114,117,122,126,129,134,138,142,145,149, 151,154,156,159,161,163,163,164,163,163,161,160,157,156,152,151,147,147,144,142,141,139,138,137, 135,136,134,134,133,133,133,131,132,131,131,129,129,127,127,125,124,123,120,120,118,118,118,117, 118,118,120,120,123,125,127,130,131,134,135,138,138,141,141,144,144,146,146,148,149,149,149,149, 148,148,146,145,142,140,136,134,130,127,124,120,118,115,113,111,109,108,105,106,104,105,104,104, 105,105,106,108,108,110,112,113,115,116,117,120,121,123,125,127,129,131,133,133,136,136,138,137, 139,139,138,140,139,141,139,141,140,142,141,143,142,143,144,143,144,143,144,142,143,142,140,140, 138,137,134,132,130,128,126,124,122,121,118,118,116,115,115,114,115,115,117,118,120,121,124,126, 129,131,133,137,139,143,145,148,152,153,157,158,159,160,160,161,159,159,157,154,152,149,146,144, 139,137,132,129,126,122,119,115,113,109,108,105,105,104,103,104,104,106,107,107,110,109,112,112, 112,113,113,114,114,115,114,115,113,114,113,114,112,114,112,114,113,115,115,117,118,118,120,120, 122,123,124,125,125,126,126,126,125,124,122,121,117,115,111,109,105,103,100, 96, 94, 92, 90, 89, 86, 87, 85, 86, 86, 87, 87, 89, 90, 93, 96, 99,101,105,108,111,115,116,120,121,124,126,127,129, 130,129,131,130,130,129,129,128,128,127,127,126,128,128,128,130,130,132,131,133,134,135,135,137, 137,137,140,140,142,143,144,143,145,144,145,143,144,141,141,140,137,137,136,135,135,134,135,136, 136,138,139,140,141,144,145,148,150,152,155,156,157,159,160,159,160,159,159,158,156,156,153,152, 149,148,145,144,141,140,137,136,134,132,130,128,126,125,122,122,120,119,119,118,119,118,120,121, 122,122,125,125,128,127,129,130,131,131,131,133,132,133,132,133,132,133,133,132,133,132,132,132, 132,132,131,131,129,130,128,128,126,127,124,125,124,122,123,122,121,121,121,121,120,119,118,118, 117,115,116,114,113,114,112,113,112,114,114,114,116,117,120,122,125,128,129,133,135,138,140,144, 147,148,151,152,153,155,156,155,156,154,155,153,153,151,148,146,143,141,138,137,134,132,128,128, 124,124,121,119,119,118,118,117,119,120,120,122,124,124,126,128,129,131,132,134,136,136,139,139, 141,142,140,142,140,141,138,139,136,136,133,134,131,132,130,131,130,130,129,129,131,129,131,129, 131,130,129,129,129,126,126,123,122,120,116,115,111,107,105,101,100, 97, 96, 94, 94, 93, 92, 94, 95, 95, 98, 99,102,104,107,110,112,116,118,120,122,123,124,125,125,126,126,126,126,124,124,122, 121,118,117,115,114,112,111,109,109,107,107,106,104,105,103,103,102,103,102,103,103,102,104,103, 103,104,103,103,102,102,102,101,101,100,101,100,102,102,105,106,107,110,111,115,117,119,123,125, 129,131,135,138,143,146,149,151,155,156,159,160,159,160,159,159,156,155,152,150,145,143,138,136, 133,130,127,124,123,120,120,120,119,120,120,121,123,123,125,127,128,130,130,131,133,135,135,138, 138,140,141,142,145,145,148,148,150,149,151,151,150,151,149,150,149,148,148,148,146,147,145,145, 143,144,142,142,140,140,139,137,137,136,135,133,133,130,130,127,127,124,123,121,121,119,118,118, 116,116,115,115,114,116,116,116,117,118,118,121,121,124,125,126,128,131,132,134,136,138,140,139, 141,140,142,140,141,139,139,136,136,133,132,129,128,126,125,123,123,121,121,120,119,118,119,118, 118,118,119,119,121,122,123,125,125,127,129,129,133,132,135,135,138,137,139,139,141,141,140,141, 140,141,141,140,141,140,141,141,142,141,142,143,143,142,143,142,143,142,144,144,145,146,147,146, 148,147,146,146,145,143,142,139,137,134,131,130,127,126,122,122,120,118,118,116,117,116,117,117, 120,120,124,126,128,130,132,135,136,139,139,141,141,142,140,141,140,137,136,134,132,129,128,125, 124,121,120,119,117,117,114,115,113,113,111,112,111,111,110,111,110,111,110,111,110,110,110,110, 109,108,108,108,107,106,105,104,104,103,103,103,103,103,104,104,105,105,108,108,110,111,113,113, 115,114,117,116,117,116,118,116,117,117,117,116,115,115,114,113,112,111,110,109,108,107,105,105, 103,104,104,103,105,105,107,108,109,112,114,116,119,121,125,127,131,132,136,138,138,140,140,142, 142,141,142,141,142,140,141,141,139,140,139,140,139,140,139,140,137,138,135,136,133,133,132,130, 130,128,128,128,127,127,128,126,128,126,128,127,127,127,126,127,126,127,126,127,126,128,127,129, 127,130,129,131,130,132,133,133,134,134,136,136,136,138,138,139,140,139,139,140,139,140,139,139, 138,138,136,136,133,133,130,129,126,125,121,121,118,116,115,113,112,110,110,110,109,110,111,110, 113,113,116,116,120,120,123,125,126,128,129,132,132,134,134,136,136,138,137,139,139,140,139,141, 140,141,140,141,140,141,140,141,141,141,140,140,140,141,142,140,142,142,141,141,140,140,138,138, 136,136,135,133,133,131,131,130,130,130,128,129,127,128,127,128,127,129,130,130,133,133,136,139, 142,145,149,150,154,155,159,159,162,161,163,163,161,161,158,157,153,152,147,146,141,140,134,133, 129,127,124,123,120,119,118,118,118,116,118,117,119,118,120,120,120,121,120,121,120,121,120,121, 121,120,121,122,122,122,121,123,124,124,125,125,127,127,127,128,128,129,130,129,130,129,130,130, 129,129,128,128,127,124,124,121,120,118,115,115,111,110,109,106,106,104,103,102,102,101,100,100, 100,100, 98, 99, 98,100, 99,101,101,103,103,105,107,107,110,110,113,113,116,117,117,119,119,121, 120,122,121,122,121,122,121,123,121,123,122,123,122,124,123,124,125,125,124,125,126,124,125,125, 123,123,122,122,121,119,120,118,119,118,119,118,120,120,122,123,122,125,124,126,125,127,126,128, 128,130,129,131,131,133,134,135,135,137,137,139,140,139,141,141,141,141,141,141,141,139,140,138, 138,137,135,136,135,133,133,131,131,129,129,127,126,124,124,122,122,122,121,121,120,121,121,123, 123,124,125,127,127,129,131,131,133,132,134,134,135,135,135,136,135,134,134,134,134,133,133,131, 131,130,130,130,128,128,128,126,127,125,126,125,125,123,124,122,123,122,121,121,121,120,121,120, 121,121,120,121,119,121,119,121,120,122,122,123,125,126,126,129,131,132,135,136,138,138,141,140, 143,142,144,144,145,145,146,145,144,145,143,143,141,141,139,139,136,136,135,133,132,131,131,130, 129,129,128,130,129,131,133,133,135,136,137,139,140,140,142,143,142,144,143,144,144,143,143,142, 140,141,139,140,138,139,138,139,138,139,138,139,138,139,138,139,138,139,137,137,136,135,134,133, 131,131,130,127,127,124,124,121,121,119,118,118,116,116,114,115,114,115,113,114,113,115,114,115, 115,117,117,119,119,120,120,122,122,123,123,124,124,123,124,123,124,123,124,124,123,124,123,124, 122,123,122,120,120,119,118,116,115,114,112,111,109,109,107,107,105,105,104,104,104,104,104,105, 104,105,106,105,107,108,109,110,110,112,113,115,117,118,120,123,123,127,127,130,131,133,135,136, 136,137,137,138,138,136,137,135,137,134,136,134,135,134,134,134,133,133,133,132,132,130,130,130, 128,127,126,124,123,122,121,120,119,118,118,117,118,117,119,118,121,120,123,122,125,125,128,128, 131,131,135,135,138,138,141,141,143,143,144,143,144,143,143,142,141,139,138,137,133,133,130,129, 127,126,124,124,122,122,121,121,120,120,119,119,119,119,118,119,118,119,118,120,119,120,120,120, 121,121,122,122,122,122,123,124,124,125,125,126,126,127,127,128,129,130,131,132,134,134,136,135, 137,136,137,137,136,137,135,135,132,133,131,130,130,128,128,127,126,125,125,123,123,122,122,122, 121,122,123,122,123,124,125,125,127,127,128,130,130,132,132,135,135,137,137,137,138,139,137,139, 139,138,139,138,139,138,139,138,140,139,141,140,142,141,142,141,142,142,141,141,139,139,138,135, 135,132,131,130,127,127,125,125,124,123,123,122,123,123,122,122,123,122,123,123,124,124,126,125, 128,127,129,129,130,130,131,131,133,132,133,133,135,135,134,135,135,135,134,135,134,134,133,133, 131,131,131,129,129,127,127,125,124,123,122,121,119,119,117,115,116,114,115,114,115,114,115,115, 117,116,118,119,119,121,121,121,123,122,123,124,123,125,124,125,125,126,124,126,124,125,124,125, 125,123,124,122,123,122,121,121,120,120,119,118,119,117,119,118,119,119,120,120,121,121,123,124, 122,124,124,123,123,123,123,123,122,123,122,123,122,123,124,123,126,125,128,129,130,132,134,134, 136,136,137,137,138,138,138,138,137,138,135,136,133,134,132,131,130,128,128,127,125,125,124,124, 123,123,124,122,124,122,124,123,125,124,126,126,126,128,128,128,129,129,130,129,130,130,130,129, 130,130,128,130,129,130,131,130,131,131,132,133,132,133,133,133,132,133,132,132,131,131,131,129, 130,128,128,126,126,126,124,124,122,122,120,120,119,118,117,116,116,116,115,116,116,117,117,119, 119,121,122,122,123,124,124,125,125,127,127,129,129,130,131,131,132,131,133,132,134,133,134,133, 134,134,134,132,133,132,133,131,132,132,131,132,132,130,131,130,131,129,130,129,129,128,128,127, 127,126,125,126,125,125,125,125,126,126,127,127,129,130,133,133,136,138,139,141,142,144,144,145, 145,144,145,143,144,142,142,140,141,138,139,137,137,136,134,134,133,133,131,132,130,131,129,129, 128,127,126,125,125,124,122,122,120,121,119,120,118,119,118,118,118,117,119,119,118,119,119,121, 122,122,124,124,126,127,127,129,128,130,130,131,129,130,128,129,127,128,126,126,125,123,123,121, 121,119,120,118,118,117,116,116,115,115,113,114,112,112,112,110,110,109,109,109,107,108,108,107, 109,108,110,111,110,112,112,114,113,115,114,116,116,117,118,119,120,122,124,124,126,126,129,130, 130,133,132,134,134,133,134,133,133,133,131,132,130,130,128,129,127,127,127,126,127,125,127,126, 127,127,127,128,127,128,128,129,128,129,128,130,128,130,129,129,129,129,129,130,129,131,130,130, 132,131,133,132,135,135,136,136,137,138,138,140,140,141,141,140,142,141,140,140,138,138,136,136, 133,132,129,129,127,125,125,123,123,122,122,120,122,122,121,122,122,124,124,125,126,127,127,128, 128,130,130,131,131,133,133,135,134,136,134,135,134,135,133,133,132,132,132,130,131,129,131,130, 130,130,130,131,130,131,130,131,130,130,130,129,130,129,130,129,129,128,128,128,128,127,127,127, 127,126,127,126,126,126,126,125,127,127,129,130,130,132,133,135,136,136,138,138,140,140,141,141, 142,141,142,141,141,141,138,139,136,136,133,133,131,131,131,129,130,129,131,131,131,131,132,131, 133,132,133,132,132,133,132,133,131,131,131,130,130,130,129,129,129,128,129,129,130,129,130,130, 131,130,131,131,130,131,130,131,131,130,131,130,131,130,131,130,129,129,129,128,128,128,126,126, 125,124,124,122,123,122,122,122,122,121,121,121,119,120,118,119,117,118,117,118,116,116,117,116, 116,117,117,118,117,119,119,120,120,121,122,122,123,124,123,124,123,124,123,122,122,120,120,119, 117,117,116,114,114,113,111,111,110,110,109,108,108,106,106,105,106,104,105,106,106,107,107,109, 109,111,113,113,115,116,117,119,118,120,119,121,121,120,121,121,122,122,123,123,123,124,124,125, 125,126,128,127,129,128,130,130,131,130,132,132,131,132,131,132,130,131,130,129,127,128,126,126, 124,125,123,124,123,123,122,123,123,124,124,125,127,128,130,131,132,133,135,135,138,138,141,141, 143,143,144,145,144,143,143,142,142,141,139,139,138,138,136,137,135,135,135,133,133,132,132,132, 130,131,130,131,130,131,130,131,130,129,130,129,129,128,128,127,127,125,126,125,124,125,124,125, 125,125,127,127,127,129,129,130,132,131,133,133,134,134,136,135,137,137,139,138,140,140,140,140, 140,139,139,137,137,136,134,134,132,132,130,130,128,129,127,127,127,125,126,125,126,126,126,128, 127,129,128,130,129,131,130,131,131,131,132,131,132,133,132,134,133,134,134,135,135,136,136,138, 137,139,140,139,140,139,140,139,139,139,137,137,136,136,135,133,134,132,132,131,131,131,129,130, 128,129,127,128,126,127,125,126,125,125,124,123,123,122,122,121,122,121,123,121,123,122,123,122, 123,124,124,125,126,125,128,127,129,130,130,130,131,130,131,130,129,128,128,127,125,125,122,122, 120,118,117,114,114,113,111,111,109,110,109,110,109,110,110,112,113,112,114,115,115,116,116,116, 117,118,117,119,118,119,118,120,118,119,119,118,119,117,118,116,116,116,115,115,114,114,115,114, 116,116,117,118,120,120,122,123,124,125,126,127,126,127,125,126,124,125,122,123,122,121,120,120, 118,118,117,118,117,118,120,119,121,121,124,124,125,127,129,130,132,132,134,135,136,137,137,139, 137,139,138,137,137,136,134,135,132,133,132,130,130,129,127,127,127,125,127,126,126,127,128,129, 129,130,131,131,133,132,133,133,134,133,134,133,134,134,132,133,131,132,132,131,130,130,130,128, 129,128,129,128,129,128,130,129,131,130,132,131,133,132,134,133,135,135,135,136,135,134,134,133, 133,131,131,130,128,129,126,127,124,125,124,122,123,122,122,122,122,123,123,125,125,126,128,128, 130,130,132,134,134,136,135,137,137,139,139,138,139,138,139,138,138,137,137,136,136,135,135,134, 134,133,133,133,131,131,130,131,131,129,130,129,130,129,130,130,130,130,130,130,129,130,129,130, 129,131,130,131,130,132,131,132,131,132,131,132,131,131,132,130,132,130,132,131,133,131,134,133, 135,136,136,137,136,138,136,138,137,136,136,136,134,134,133,131,130,128,128,125,125,122,122,121, 119,118,117,117,117,116,117,116,118,118,119,120,121,122,124,125,125,127,127,129,129,130,129,131, 129,131,128,129,126,127,124,124,123,121,121,119,120,117,119,117,118,117,118,118,118,119,119,120, 120,121,120,122,122,121,122,121,121,121,120,119,118,119,116,117,114,114,112,112,110,109,109,108, 108,106,108,108,108,110,111,113,114,116,119,121,123,125,127,128,130,130,131,131,132,131,131,130, 130,129,128,127,126,125,123,123,122,121,121,119,120,118,120,119,120,121,122,122,124,124,126,126, 128,129,128,130,129,131,131,132,130,132,131,131,130,130,128,129,127,128,127,127,127,128,128,129, 130,129,132,131,134,133,135,135,137,136,138,139,138,140,140,140,139,140,138,139,137,138,136,135, 134,133,130,130,129,126,126,124,124,123,122,122,121,122,122,122,123,122,125,125,126,126,128,128, 130,130,132,133,133,132,133,133,132,133,131,132,130,130,129,128,128,127,126,126,125,126,124,125, 124,124,125,125,125,126,125,127,127,128,128,128,129,129,128,129,128,129,128,129,128,129,128,127, 128,127,127,126,127,127,127,127,128,127,130,130,130,130,130,131,131,131,133,132,134,134,134,135, 135,136,136,138,137,139,139,139,140,141,139,140,139,138,138,136,136,135,133,133,131,131,130,130, 129,129,129,129,130,130,130,131,132,133,133,134,134,135,134,136,135,136,136,135,135,134,134,133, 133,133,131,131,130,130,128,128,127,127,126,126,125,125,126,125,127,126,128,128,128,129,129,129, 130,130,128,129,127,128,126,126,124,122,121,119,119,117,117,116,114,114,113,114,113,114,113,114, 114,115,117,117,117,119,119,121,121,123,124,124,126,127,126,127,127,126,126,125,125,123,123,120, 119,117,116,114,113,111,111,109,110,109,109,110,110,112,113,113,115,115,118,118,120,120,122,122, 122,124,123,125,124,125,124,125,124,125,124,125,124,125,126,126,127,126,126,127,126,127,127,128, 129,129,130,131,132,132,133,133,133,133,133,133,132,131,130,129,129,128,126,127,125,125,123,124, 122,123,122,122,122,122,122,123,122,123,123,124,125,127,128,130,132,132,135,136,136,137,138,138, 138,138,138,137,137,137,136,135,135,133,133,133,131,131,130,130,129,128,128,127,127,125,127,125, 127,125,127,126,127,128,127,128,127,128,127,128,126,127,126,127,125,126,125,126,124,126,125,126, 126,127,128,128,131,132,132,134,135,136,137,139,141,142,143,145,147,147,149,149,150,150,149,147, 147,146,145,144,143,141,139,136,134,131,127,126,123,122,120,120,118,118,118,118,118,119,119,120, 122,122,125,126,128,131,133,137,139,141,144,145,147,149,148,151,151,151,151,150,149,147,146,144, 141,140,138,137,135,134,133,132,130,130,128,127,127,124,124,121,121,118,118,115,115,113,113,112, 110,111,109,109,106,107,104,104,102,102,100,100, 98, 98, 98, 96, 97, 96, 98, 97,100, 99,102,102, 102,103,103,104,105,106,106,107,106,108,107,108,107,107,107,107,107,106,107,108,107,108,108,109, 108,110,109,109,109,108,109,108,110,110,110,111,113,112,114,115,117,118,119,121,122,125,125,129, 130,134,134,138,139,141,143,144,146,146,148,147,149,147,148,147,146,146,145,145,145,145,144,145, 145,144,144,142,142,140,138,136,134,131,129,126,122,121,118,117,113,112,109,108,106,106,104,104, 105,105,105,107,108,110,112,115,116,119,120,123,124,127,128,130,130,131,130,131,130,129,129,128, 127,126,125,125,125,124,125,124,125,125,124,126,126,128,129,131,132,134,136,138,139,141,142,142, 144,144,146,146,147,149,149,151,151,153,152,154,153,154,153,154,153,152,151,151,150,151,150,150, 149,150,150,149,150,150,152,152,152,153,153,152,152,152,150,151,150,151,149,151,150,150,151,149, 150,150,149,151,152,151,153,153,154,154,155,154,154,153,152,151,150,148,147,145,142,142,140,139, 137,137,136,135,136,135,136,136,138,138,140,141,141,143,144,144,146,146,148,147,149,149,148,149, 148,148,146,146,145,144,143,141,140,138,139,137,137,135,135,133,133,131,130,128,126,124,123,121, 119,116,114,111,109,105,104,101,101, 99, 99, 97, 98, 96, 97, 95, 96, 96, 95, 95, 95, 94, 96, 95, 96, 96, 97, 97, 96, 98, 96, 97, 94, 95, 93, 94, 92, 91, 91, 89, 89, 87, 87, 86, 85, 84, 83, 83, 83, 85, 85, 88, 89, 92, 93, 96, 97,100,101,104,105,107,108,110,110,112,112,112,112,111,111,109, 109,108,108,107,108,107,108,108,108,109,109,111,113,114,117,119,122,123,126,127,130,131,133,135, 135,137,138,138,139,138,139,139,138,137,134,133,131,130,127,126,123,123,121,120,120,118,119,118, 116,117,116,115,115,114,115,115,114,116,115,117,117,120,121,122,124,125,127,128,130,129,130,129, 129,128,125,125,122,122,119,119,117,116,115,115,114,115,115,114,116,116,115,117,116,117,116,118, 118,120,119,121,121,123,124,125,127,129,129,132,133,135,135,137,137,139,139,141,143,145,147,148, 150,150,151,152,154,155,156,156,158,158,159,158,159,159,156,157,154,155,152,153,151,152,151,151, 149,150,149,149,149,148,147,147,147,148,148,150,152,153,155,156,158,158,160,162,162,164,163,165, 165,164,164,162,160,158,155,153,149,147,144,143,141,140,138,138,137,137,137,138,137,139,139,141, 141,144,144,146,146,148,148,150,149,151,151,151,152,152,154,153,154,153,154,152,152,150,149,147, 145,142,141,137,136,132,131,127,125,121,120,116,116,113,111,111,109,108,106,106,103,103,101, 99, 99, 98, 97, 98, 96, 97, 97, 98, 97, 98, 97, 97, 98, 96, 96, 95, 95, 94, 92, 93, 91, 92, 91, 92, 91, 92, 92, 93, 93, 95, 95, 95, 97, 97, 99, 99,101,101,103,103,105,106,108,109,110,113,114,116, 117,117,119,120,119,120,119,119,118,118,117,117,115,115,114,116,115,117,117,119,119,122,124,125, 127,127,129,130,130,132,131,132,131,133,132,133,132,133,133,132,133,133,133,133,133,132,132,131, 130,130,128,128,126,126,124,124,122,120,118,115,114,112,108,107,104,103,102,101,101,100,102,103, 104,105,106,109,111,113,115,116,119,119,122,124,124,126,126,128,127,128,126,127,125,126,124,126, 124,125,123,123,121,121,119,119,118,118,119,118,120,119,121,122,121,123,123,125,126,128,129,131, 132,134,135,137,137,140,139,141,141,140,142,141,142,143,143,144,144,144,144,143,142,142,141,141, 143,142,144,145,145,147,148,150,150,151,152,152,153,153,154,154,155,156,155,157,156,157,156,158, 157,158,158,159,158,159,160,158,159,156,156,154,152,150,148,146,144,142,140,139,138,135,135,133, 134,133,133,132,133,133,135,135,137,138,139,140,141,141,143,143,145,145,148,148,150,149,151,151, 151,152,151,152,151,152,151,151,150,150,149,148,146,145,143,143,141,141,138,138,135,135,132,131, 127,126,121,119,116,112,109,105,104,100, 99, 96, 97, 95, 95, 95, 96, 95, 97, 96, 98, 99,100,101, 102,102,104,103,105,104,105,104,105,105,105,104,104,104,103,102,100,100, 99, 98, 98, 97, 97, 97, 98, 97, 99,100,101,103,104,107,108,111,112,114,115,117,115,117,115,115,114,113,110,110,108,108, 106,107,106,108,108,110,111,111,113,114,117,118,119,122,123,125,128,128,131,132,135,136,139,140, 143,145,145,147,146,148,146,147,145,143,143,140,139,136,135,132,130,127,125,122,120,117,114,112, 109,108,107,107,106,107,107,109,109,111,112,114,116,118,120,122,125,127,128,128,130,130,129,130, 128,129,128,126,127,126,124,124,123,121,121,119,120,119,118,119,118,119,118,120,119,118,119,118, 117,118,117,118,118,120,120,120,122,122,122,123,123,122,123,124,124,125,125,126,126,128,128,130, 130,131,131,133,133,134,134,136,137,137,139,139,141,141,142,143,144,144,145,145,146,147,145,146, 145,146,146,144,146,145,147,147,149,150,153,154,156,157,158,159,160,159,160,159,160,159,159,158, 155,155,151,150,147,146,142,142,138,137,134,134,131,131,129,129,129,128,130,131,131,133,134,136, 137,137,140,139,141,142,142,143,144,143,145,145,146,145,145,146,144,145,144,142,140,140,137,137, 134,134,132,131,128,128,125,124,121,118,117,114,113,112,111,109,108,107,106,106,105,106,106,108, 108,108,110,110,111,112,111,113,111,112,110,110,108,108,106,106,105,103,102,101, 99, 99, 98, 96, 97, 96, 95, 96, 95, 97, 96, 98, 97, 98,100,100,102,104,105,109,110,114,114,116,118,118,120,119, 120,119,118,118,117,116,115,113,114,112,113,112,113,115,115,117,119,119,122,123,124,127,128,131, 132,133,135,135,137,138,139,142,141,143,143,144,143,144,143,143,142,143,143,141,142,140,141,140, 139,139,137,136,135,133,133,132,130,129,127,127,125,123,123,121,121,120,121,121,121,121,123,122, 125,124,127,127,130,130,132,132,135,134,136,135,134,135,133,133,132,132,131,131,130,129,129,127, 127,126,125,123,123,120,120,118,117,117,116,117,116,116,117,116,117,116,118,119,120,122,124,124, 127,129,129,131,131,134,133,135,135,137,136,138,137,138,137,138,138,137,138,136,137,136,137,136, 137,137,136,137,135,135,134,134,134,133,134,135,135,137,137,140,141,142,145,147,149,150,153,156, 156,159,159,161,162,161,162,161,162,161,159,159,157,156,153,152,149,148,144,143,140,139,137,137, 135,136,136,136,137,137,138,139,138,140,138,140,139,140,140,139,140,139,139,139,138,139,138,137, 138,136,137,135,136,135,133,133,132,132,131,129,128,126,126,124,124,123,120,120,118,118,116,115, 113,112,109,109,107,105,104,101,100,100, 98, 98, 96, 95, 97, 95, 96, 95, 97, 96, 98, 97, 99,100, 100,100,101,101,100,102,100,102,101,101,100, 99, 98, 96, 96, 94, 94, 93, 93, 93, 93, 92, 94, 94, 97, 97,101,102,106,107,111,112,115,115,118,119,119,120,119,121,119,121,119,120,118,120,117,119, 117,118,116,117,116,116,118,117,120,120,122,122,125,125,128,129,130,132,134,135,138,138,141,142, 144,146,146,148,149,150,149,150,149,150,148,147,146,143,142,139,137,134,131,129,127,125,123,122, 120,120,119,119,119,120,120,122,122,124,126,127,130,132,134,136,136,137,137,136,136,134,134,132, 132,131,129,128,127,125,124,123,121,121,120,120,119,120,120,119,121,121,120,121,121,120,121,120, 122,121,122,122,123,124,123,124,123,124,124,124,123,124,124,125,124,125,125,124,125,124,125,125, 126,127,127,129,131,131,134,134,136,137,138,140,140,141,141,142,141,142,142,142,141,141,141,141, 140,141,141,142,143,143,146,147,148,149,150,152,154,154,157,157,158,160,160,160,161,159,159,158, 157,154,153,151,148,147,144,143,140,140,138,138,136,136,136,134,135,134,135,134,136,135,137,136, 138,138,140,139,142,142,144,145,145,147,147,147,148,147,148,148,145,146,144,141,140,138,137,134, 133,129,129,125,124,121,120,117,117,114,113,111,108,107,105,103,102,100,101, 99,100,100,100,100, 101,102,102,103,103,102,104,103,104,103,103,102,102,100,101, 98, 99, 97, 97, 94, 95, 93, 92, 93, 92, 93, 92, 94, 94, 94, 96, 97, 99,101,103,104,107,108,110,111,112,113,112,113,112,112,111,111, 111,110,110,108,108,106,107,105,106,105,106,106,107,108,109,112,114,117,118,122,122,126,128,132, 133,137,138,141,141,144,144,147,147,148,150,150,153,153,156,156,156,157,156,156,153,152,148,146, 143,142,139,138,135,132,131,128,127,125,125,124,125,126,128,131,132,135,136,136,138,138,141,141, 141,140,139,138,136,135,132,129,126,124,122,120,118,118,117,118,117,120,122,124,127,130,131,136, 139,142,146,148,150,151,151,152,152,151,149,147,144,138,135,129,123,117,110,104, 98, 93, 89, 87, 84, 84, 83, 84, 87, 89, 93, 97,102,107,113,119,127,135,141,147,151,156,159,163,165,167,166,165, 162,159,154,148,141,134,126,120,115,111,107,106,104,105,106,111,115,120,127,133,141,148,157,165, 173,180,185,189,191,194,194,195,193,191,187,183,177,169,161,151,141,129,121,111,106, 98, 94, 90, 88, 87, 89, 91, 95,100,105,111,118,127,135,143,152,160,165,172,175,180,182,185,185,186,186,184, 182,175,170,162,154,147,139,132,125,117,111,105,102, 98, 97, 95, 94, 94, 96, 99,101,107,110,116, 120,124,127,131,133,135,135,137,136,137,135,131,127,120,115,108,101, 95, 89, 83, 78, 74, 72, 71, 71, 71, 73, 74, 77, 79, 84, 89, 94, 99,104,109,111,116,117,120,122,122,124,125,125,122,121,116, 112,105,101, 96, 91, 86, 82, 76, 74, 71, 69, 70, 70, 72, 73, 77, 79, 86, 90, 97,101,108,113,120, 125,129,134,136,141,144,146,149,149,148,145,142,138,132,127,124,121,116,115,113,113,116,117,121, 124,129,132,138,143,148,154,158,163,166,170,172,172,171,169,167,166,162,161,156,152,145,140,133, 126,120,115,107,103, 97, 95, 95, 95, 97, 99,103,106,112,117,124,130,138,143,151,157,162,167,169, 172,173,173,174,173,173,170,166,161,153,148,140,131,124,115,107,100, 95, 90, 87, 84, 84, 82, 85, 86, 91, 95,100,106,113,119,127,132,136,140,143,146,147,149,151,151,151,150,145,143,137,134,128, 124,117,111,108,103,100, 96, 95, 92, 93, 94, 95, 99,102,108,114,118,126,131,138,141,147,151,156, 160,163,168,170,172,172,170,169,166,163,158,152,146,139,135,130,125,122,119,115,115,114,116,118, 121,126,129,136,141,148,152,159,161,165,167,171,173,176,176,177,175,171,169,163,158,150,144,135, 130,122,118,113,108,105,103,102,104,105,109,112,118,125,130,138,143,151,155,160,164,167,169,173, 173,173,171,169,164,160,154,148,139,131,122,115,108,100, 95, 88, 85, 81, 79, 79, 79, 82, 83, 88, 92, 98,102,109,114,120,123,128,132,134,138,140,139,139,137,133,131,124,119,111,104, 95, 89, 82, 75, 70, 65, 62, 61, 59, 61, 62, 66, 70, 75, 82, 89, 95,103,109,115,120,126,130,135,138,142,144, 144,144,142,141,137,134,128,123,120,114,112,108,104,103,100,100, 99,100,100,101,105,108,112,118, 122,129,133,137,142,145,150,154,158,160,163,164,166,166,166,162,160,153,149,143,137,131,125,119, 115,110,109,107,105,106,106,110,112,118,123,129,135,142,146,153,158,162,168,171,174,177,178,179, 178,177,174,168,164,156,150,143,136,129,122,116,111,105,104,100,100, 99,100,102,106,109,113,118, 120,125,126,131,133,135,137,137,139,139,141,140,140,138,135,132,128,123,120,115,112,107,104,102, 100,100,100,102,103,107,110,116,121,128,131,137,140,145,147,151,151,153,152,151,151,148,146,141, 138,130,125,118,111,105,100, 93, 89, 85, 82, 81, 81, 81, 84, 87, 94,101,108,118,125,134,141,149, 155,163,167,172,174,178,180,180,182,180,179,174,171,164,159,150,144,135,128,119,113,108,102, 99, 94, 94, 92, 94, 97,101,105,111,115,122,127,134,138,144,148,150,154,156,159,160,160,160,158,156, 154,148,145,138,134,128,122,116,112,108,105,101,100, 99,101,104,106,112,114,120,125,131,135,140, 142,146,147,149,149,149,148,147,144,141,138,131,128,120,115,108,101, 94, 88, 81, 76, 70, 67, 63, 62, 63, 63, 66, 68, 74, 78, 84, 91, 99,104,112,117,124,129,133,138,141,144,145,145,144,142,140, 135,131,126,120,115,108,102, 97, 91, 87, 83, 82, 80, 82, 83, 87, 92, 96,102,108,114,120,125,130, 135,139,143,147,149,150,150,148,147,143,140,134,131,124,121,116,114,110,109,106,106,106,109,111, 115,121,125,133,140,147,154,161,167,172,177,181,184,186,188,190,189,186,185,180,177,170,164,155, 149,140,134,126,118,112,105,101, 98, 97, 96, 98,100,105,109,114,120,127,134,141,146,154,158,165, 168,174,177,179,180,181,180,177,175,169,165,158,151,144,137,130,122,117,110,107,104,101,101,102, 102,106,109,113,118,122,127,130,135,139,142,146,147,150,151,151,152,149,148,143,139,133,127,121, 115,109,102, 96, 90, 86, 81, 80, 79, 78, 80, 82, 86, 92, 96,105,111,118,126,134,141,150,157,164, 169,176,180,182,186,184,184,181,176,172,165,159,151,141,134,125,118,110,105, 99, 96, 93, 93, 92, 95, 97,101,104,108,112,117,122,127,132,137,140,145,148,152,154,154,154,152,150,147,144,141,135, 132,127,124,120,117,116,113,114,114,117,120,124,129,133,138,142,147,150,154,157,159,159,160,159, 159,157,153,150,145,139,134,125,119,110,103, 93, 86, 78, 71, 66, 62, 57, 56, 55, 57, 60, 66, 71, 78, 84, 92, 99,107,114,122,127,133,136,141,143,146,147,146,144,142,138,135,129,125,119,112,106, 100, 93, 89, 84, 79, 78, 75, 76, 76, 79, 83, 86, 89, 94, 97,102,107,111,116,118,122,126,127,129, 130,129,129,127,125,122,120,116,113,108,105,101, 97, 95, 92, 91, 91, 91, 94, 97,103,109,113,122, 127,137,143,152,157,165,170,177,181,185,187,189,188,187,183,179,173,167,159,151,143,133,126,118, 112,104, 99, 94, 93, 91, 92, 94, 97,101,106,113,117,124,129,136,141,148,154,158,164,168,172,174, 176,175,177,174,174,169,167,163,158,155,149,146,140,137,133,132,131,130,130,131,130,133,133,136, 136,140,141,142,144,145,147,147,148,147,145,144,142,138,136,131,128,121,118,112,110,105,101, 99, 96, 96, 97, 98,102,105,110,116,120,128,133,139,146,151,157,161,166,170,172,174,174,172,172,169, 167,162,157,150,145,137,132,126,120,114,107,104,100, 99, 97, 98, 98,101,104,108,111,115,120,124, 129,133,138,143,148,150,154,155,157,157,158,156,153,151,147,143,139,135,130,127,122,119,116,113, 113,112,113,114,118,121,125,129,133,137,141,144,146,151,152,156,156,158,157,158,157,155,152,147, 142,136,130,124,116,109,101, 95, 89, 83, 80, 76, 75, 74, 76, 78, 80, 85, 88, 94, 99,103,109,114, 120,124,130,134,138,142,145,148,149,150,149,148,145,142,137,132,126,117,111,104, 96, 90, 83, 79, 74, 72, 68, 69, 68, 68, 70, 71, 74, 77, 81, 85, 88, 93, 97, 99,104,106,111,112,113,114,113,113, 111,107,104,101, 97, 93, 89, 85, 83, 82, 80, 82, 83, 85, 90, 94,100,106,112,119,124,132,138,143, 149,153,157,160,162,163,162,161,159,156,153,147,144,137,134,127,123,116,112,107,105,102,100,101, 100,103,104,108,109,114,116,122,125,131,134,140,143,149,153,156,160,161,164,164,164,164,162,161, 158,156,153,148,146,142,140,137,133,133,131,132,131,134,134,138,138,142,143,147,148,151,153,153, 155,155,156,154,154,151,148,146,142,139,135,129,126,119,116,110,106,104,100, 99, 98,100,101,105, 108,115,119,126,133,140,146,154,159,167,172,179,182,187,190,190,192,190,190,186,183,178,172,165, 157,149,140,132,123,116,108,103, 97, 95, 92, 92, 90, 93, 93, 98,102,107,111,117,122,129,133,140, 143,149,153,155,158,159,162,162,162,161,160,157,154,152,148,147,143,142,139,140,139,139,141,141, 143,145,147,150,150,154,154,157,157,159,160,159,160,157,156,153,149,144,140,134,129,122,115,108, 103, 96, 92, 87, 85, 83, 82, 83, 84, 88, 90, 96,100,107,112,119,124,131,136,143,148,153,158,161, 165,166,168,167,165,162,159,152,148,140,134,127,118,112,104, 99, 93, 88, 85, 82, 81, 80, 80, 80, 83, 84, 86, 89, 91, 92, 95, 96, 99,100,102,102,102,102,102, 99, 98, 94, 92, 88, 86, 81, 79, 75, 73, 71, 69, 70, 70, 73, 75, 80, 83, 90, 94,101,106,114,118,125,130,136,140,145,147,150,150,151, 151,148,147,142,139,133,127,118,111,103, 94, 85, 77, 69, 64, 59, 55, 55, 54, 56, 60, 64, 70, 79, 86, 96,104,116,125,137,145,154,163,170,177,181,186,187,190,188,188,184,182,176,170,164,157,150, 144,137,131,127,123,121,118,118,119,119,121,122,123,127,128,132,135,138,140,143,143,146,146,147, 146,145,145,141,140,135,131,126,120,115,110,106,103,100,100, 99,101,103,107,111,117,123,128,135, 141,149,154,162,167,173,177,182,185,186,187,186,186,183,179,172,167,158,151,142,132,124,116,109, 102, 97, 92, 90, 89, 90, 90, 93, 95,100,105,109,115,120,126,132,135,141,145,150,153,156,157,160, 161,160,162,159,159,155,153,149,147,145,142,141,139,139,140,141,142,144,147,149,153,156,160,164, 166,170,171,173,174,174,174,172,169,167,163,159,155,149,142,136,129,120,114,106,100, 94, 90, 85, 83, 81, 82, 84, 85, 90, 94, 99,106,112,120,128,136,145,152,161,167,175,179,184,188,189,190,188, 187,182,178,172,163,156,147,139,129,121,112,104, 98, 91, 87, 82, 81, 78, 78, 77, 79, 80, 82, 86, 88, 92, 95,100,103,107,110,114,117,117,120,120,121,119,116,113,109,106,101, 98, 93, 90, 88, 86, 84, 85, 85, 87, 88, 92, 95, 99,102,108,112,118,121,126,130,132,133,135,134,134,133,129,127,121, 116,108,103, 94, 87, 80, 72, 66, 60, 57, 54, 53, 52, 53, 54, 59, 61, 67, 71, 79, 85, 93, 99,108, 115,124,131,137,145,151,157,163,167,172,173,175,175,173,172,169,165,159,156,151,148,144,140,138, 135,134,132,130,129,128,128,127,128,129,130,131,133,133,134,134,136,135,137,135,136,133,132,128, 126,121,119,114,112,110,107,107,107,109,110,115,118,122,128,133,140,146,152,158,163,170,174,179, 181,185,186,188,187,187,185,180,177,170,165,156,149,138,130,120,112,102, 96, 88, 84, 78, 76, 74, 72, 74, 75, 76, 81, 84, 90, 96,103,111,117,125,131,139,145,151,158,162,167,168,171,171,169,167, 163,161,157,151,148,143,141,137,136,135,133,134,133,136,137,140,141,145,146,151,152,156,157,158, 160,160,162,160,161,158,157,153,150,144,139,132,127,119,114,107,104, 98, 97, 94, 95, 95, 97, 99, 103,106,112,118,124,132,138,147,152,160,166,170,176,179,181,184,184,185,183,181,177,172,167,159, 152,144,135,128,120,114,108,104, 99, 97, 93, 93, 91, 92, 91, 94, 95, 99,101,105,107,112,114,118, 120,123,125,126,128,127,128,125,124,122,119,115,113,110,109,106,107,107,108,110,111,114,116,119, 121,125,128,131,133,135,136,137,137,137,136,134,132,128,127,122,119,113,109,102, 97, 89, 83, 77, 70, 65, 60, 55, 52, 51, 50, 49, 51, 52, 56, 59, 65, 71, 77, 86, 93,102,109,118,125,133,139,146, 152,157,160,161,163,162,161,158,153,149,142,137,130,126,120,116,112,110,107,104,104,104,104,106, 108,112,115,120,123,129,132,136,139,143,145,146,149,148,149,147,144,142,137,132,129,123,120,115, 113,109,110,109,109,111,112,116,118,123,126,133,137,144,149,156,161,167,171,176,179,182,184,184, 185,184,180,177,171,166,158,151,141,133,125,115,109,101, 96, 90, 88, 85, 84, 83, 84, 86, 88, 92, 95,101,105,112,116,123,127,133,138,143,148,151,156,157,160,160,162,160,160,157,156,152,151,148, 146,144,142,141,138,138,136,136,135,134,135,134,136,135,137,136,137,137,136,137,137,137,137,135, 135,132,131,127,125,120,117,113,110,107,105,103,103,104,105,106,110,112,117,123,127,134,141,147, 154,161,166,172,176,181,185,188,191,193,193,193,190,188,184,178,170,163,154,146,137,130,121,115, 108,104, 99, 95, 91, 91, 88, 90, 91, 92, 95, 98,103,108,112,116,122,125,132,135,141,143,148,149, 153,152,153,151,150,147,143,141,136,134,130,128,124,123,121,118,118,117,116,117,117,120,120,123, 124,127,128,129,131,132,131,132,130,130,127,123,120,113,108, 99, 93, 84, 77, 68, 63, 57, 51, 49, 45, 44, 43, 44, 46, 48, 53, 59, 64, 72, 78, 87, 94,101,110,117,123,131,136,142,146,150,152,152, 152,150,148,144,139,135,130,124,119,113,109,103,100, 95, 92, 89, 87, 85, 85, 85, 86, 87, 89, 92, 93, 98,100,105,109,112,117,120,126,128,133,134,137,136,138,137,137,137,136,135,135,135,135,135, 134,136,136,139,141,145,147,152,155,160,162,166,168,172,173,174,175,176,174,174,170,168,163,158, 151,145,138,132,124,119,112,108,104,100, 98, 96, 94, 94, 94, 97, 99,102,106,111,115,122,127,134, 139,146,152,157,164,168,173,177,178,180,180,178,176,172,169,163,158,153,147,141,136,131,127,123, 120,117,116,115,115,115,117,117,120,122,123,126,127,130,132,134,137,137,139,138,138,136,133,131, 127,125,120,117,114,110,108,106,105,103,105,105,109,112,117,122,128,134,141,147,154,160,167,172, 179,182,187,190,193,193,194,191,189,183,179,171,166,158,150,143,136,128,122,115,110,105,102, 99, 96, 96, 94, 96, 96,100,101,106,109,112,117,121,127,130,137,141,144,149,151,153,154,155,153,153, 150,150,147,146,143,143,140,140,138,139,137,138,137,138,137,139,138,139,139,139,139,139,138,138, 136,136,134,131,130,125,123,117,114,107,103, 96, 92, 87, 83, 79, 75, 74, 71, 71, 70, 72, 74, 76, 79, 82, 87, 91, 96,100,106,110,116,120,124,129,132,137,139,141,143,141,142,138,136,132,126,122, 116,109,104, 97, 92, 86, 81, 76, 73, 69, 69, 67, 68, 68, 70, 73, 75, 77, 81, 84, 89, 92, 97,100, 104,107,109,112,114,113,114,112,112,110,108,107,105,105,103,104,104,106,107,110,115,118,122,128, 132,138,142,148,151,156,159,163,165,167,168,170,169,169,167,165,160,156,150,143,137,129,123,116, 109,102, 97, 91, 88, 83, 82, 81, 82, 83, 86, 89, 94, 99,105,111,118,125,133,140,147,154,161,165, 172,175,179,180,181,179,179,175,173,167,164,158,155,150,144,141,136,134,130,127,125,122,121,120, 119,118,118,118,119,120,120,122,123,125,126,128,128,129,130,129,129,127,127,124,124,121,121,120, 118,119,119,120,121,123,125,129,132,136,138,143,147,150,155,159,163,167,169,173,176,177,180,180, 181,178,177,173,170,165,159,155,148,143,137,130,126,120,116,113,109,108,106,107,108,109,112,114, 118,122,127,131,135,141,144,150,154,159,161,165,166,168,168,166,166,163,162,158,157,154,150,148, 144,143,139,139,136,137,135,136,135,137,137,138,140,140,142,143,144,146,146,148,148,148,148,145, 144,139,137,131,127,121,117,110,106,100, 97, 93, 88, 87, 84, 85, 84, 87, 88, 92, 95,100,104,111, 117,122,129,135,142,147,153,157,161,163,165,163,163,159,155,150,144,136,129,121,113,105, 98, 91, 84, 79, 74, 71, 68, 67, 66, 66, 66, 68, 69, 70, 73, 75, 79, 82, 86, 91, 94, 99,102,106,108,109, 113,112,114,113,113,113,111,111,108,108,106,106,104,105,104,105,105,105,107,107,110,111,114,115, 119,121,125,128,131,135,136,139,139,140,140,138,137,133,130,128,123,120,115,112,107,104, 99, 98, 95, 94, 94, 93, 95, 97, 99,102,106,109,115,120,124,130,135,142,147,153,158,161,165,166,168,167, 168,165,164,161,159,154,151,146,143,139,135,130,128,124,122,119,118,116,116,115,116,117,117,119, 120,123,126,127,130,130,133,133,134,132,132,130,127,125,122,120,116,114,110,110,107,108,107,109, 109,112,114,119,122,126,131,135,141,145,150,154,160,164,167,169,172,171,173,171,168,166,162,156, 152,145,139,131,125,118,113,106,102, 97, 95, 92, 92, 91, 92, 94, 97, 99,104,107,113,119,124,131, 138,143,151,156,163,166,172,174,177,178,179,178,178,176,173,170,166,163,159,155,152,148,146,142, 141,138,137,135,135,134,134,134,135,135,137,138,140,141,141,143,142,143,142,140,139,136,135,132, 130,126,124,120,119,116,116,115,114,114,115,117,118,122,123,128,131,134,138,142,145,150,153,158, 160,164,166,168,168,167,167,164,162,157,154,148,144,137,131,124,119,112,108,101, 97, 91, 88, 85, 81, 80, 77, 77, 76, 78, 79, 81, 84, 88, 91, 97,100,105,109,111,115,116,119,119,119,119,118,117, 115,113,112,110,109,107,107,105,106,106,108,109,109,112,113,116,118,119,122,123,125,126,128,128, 129,127,127,125,122,120,116,113,110,104,101, 95, 93, 88, 86, 82, 81, 79, 80, 79, 82, 83, 87, 90, 95,100,105,111,116,123,129,136,143,149,155,160,165,168,172,173,175,175,174,172,170,166,162,156, 152,145,140,133,128,123,118,113,110,106,105,102,102,101,102,103,105,107,109,113,115,119,122,126, 127,131,133,134,135,135,135,134,133,131,131,129,129,127,127,125,125,124,125,124,125,125,127,128, 130,132,133,136,138,140,143,144,147,148,151,150,152,151,151,148,146,143,139,134,130,125,121,115, 111,106,101, 98, 94, 93, 91, 89, 89, 89, 90, 91, 94, 96,100,105,108,115,119,126,133,138,144,149, 154,158,161,164,165,167,168,166,166,164,163,160,158,154,153,149,148,145,142,142,139,139,136,137, 135,137,136,137,137,139,139,141,140,142,141,142,140,140,139,136,135,132,131,127,125,121,119,117, 114,113,113,113,113,114,116,118,122,125,130,135,138,145,149,155,161,165,171,174,178,179,182,182, 181,179,176,172,167,162,155,149,141,135,128,121,115,108,103, 99, 95, 91, 90, 88, 88, 88, 90, 91, 95, 97,102,107,110,115,119,122,127,129,133,133,136,136,137,136,134,134,131,130,127,126,123,121, 119,117,116,115,113,113,111,112,111,112,112,113,114,114,117,117,120,121,122,123,125,124,125,123, 123,121,117,115,111,107,103, 98, 95, 90, 87, 83, 81, 79, 78, 77, 78, 79, 80, 84, 86, 92, 96,103, 110,115,124,130,138,144,151,157,162,165,169,170,173,172,172,169,167,162,158,154,148,144,137,133, 127,123,118,116,111,110,107,104,104,103,104,105,107,108,110,114,116,119,123,125,129,130,133,134, 135,136,135,136,134,134,134,132,132,131,130,128,129,129,129,131,131,133,135,138,140,144,146,150, 151,155,156,159,159,160,159,159,156,155,150,147,141,136,130,124,118,111,107,101, 97, 92, 89, 85, 84, 82, 82, 81, 83, 85, 87, 92, 95,101,106,113,119,124,131,136,142,146,151,154,157,158,159,159, 158,157,154,152,149,145,143,138,135,132,128,127,123,122,120,118,118,117,118,118,120,120,123,124, 128,130,132,135,137,138,140,140,142,141,140,138,137,133,132,128,126,122,120,117,116,114,114,114, 114,115,117,118,122,124,129,132,138,142,147,151,157,160,163,167,168,170,172,170,170,167,164,161, 156,151,148,141,136,129,124,120,114,111,107,104, 99, 99, 96, 96, 96, 96, 98,100,103,105,109,114, 117,122,125,130,133,137,140,143,145,145,147,147,147,146,144,143,140,139,135,134,131,129,126,124, 121,121,120,119,118,117,119,118,120,121,123,124,125,125,126,126,124,124,121,119,116,113,109,105, 102, 96, 94, 89, 86, 85, 82, 82, 81, 82, 82, 84, 85, 89, 91, 96, 99,105,109,116,120,126,129,135, 138,142,145,148,150,149,151,150,148,147,143,141,137,133,130,125,122,118,115,112,109,108,105,105, 103,104,103,106,106,110,112,115,117,122,124,128,130,134,135,137,138,139,139,140,139,138,136,135, 133,132,130,130,128,128,128,127,129,129,131,132,135,137,138,142,145,147,151,153,156,158,161,161, 164,163,164,161,161,158,156,152,149,144,139,134,129,124,119,113,109,104,101, 98, 94, 93, 91, 92, 92, 95, 97,100,105,109,115,120,126,132,136,142,146,151,154,158,159,162,161,162,161,158,156,152, 150,145,142,138,133,129,125,121,118,114,112,109,107,108,106,108,107,109,110,113,114,117,119,121, 123,124,125,126,126,126,126,124,125,124,122,122,120,121,119,120,119,121,122,122,125,126,130,132, 136,139,144,148,151,154,159,162,165,167,168,169,169,169,167,165,161,158,154,148,144,138,132,126, 120,115,109,106,102, 98, 97, 94, 94, 93, 95, 96, 99,104,106,112,117,122,128,132,137,143,146,150, 154,155,158,157,158,156,156,153,150,148,144,142,139,135,134,131,129,126,125,123,123,121,121,122, 121,121,122,122,124,124,126,125,126,125,126,124,124,122,121,117,116,112,110,106,104,100, 98, 95, 93, 92, 89, 89, 88, 88, 88, 89, 90, 94, 96,100,105,109,116,120,127,131,138,141,147,150,154,155, 157,156,156,153,151,147,142,137,131,124,119,112,108,101, 97, 91, 88, 84, 83, 80, 80, 79, 81, 82, 85, 88, 91, 96,100,103,109,113,119,122,128,130,135,137,140,142,142,144,143,144,142,143,142,141, 140,138,137,135,135,134,132,133,132,133,133,135,136,138,139,141,141,143,144,143,144,143,144,141, 141,139,136,134,130,127,123,119,117,113,111,109,106,104,103,102,103,103,106,107,111,113,118,123, 128,131,137,141,147,151,154,158,160,163,165,166,166,164,164,162,159,154,152,147,144,139,134,131, 126,124,119,117,113,112,110,110,108,109,110,109,112,111,114,114,117,117,120,121,121,123,123,125, 125,124,124,123,123,121,122,120,121,121,120,121,120,122,123,124,125,128,129,133,136,138,143,145, 149,151,154,155,159,159,161,159,160,159,157,155,151,148,144,139,135,131,125,122,116,114,109,107, 103,102,100, 98, 98, 97, 99,101,104,106,111,114,118,123,127,132,135,140,145,147,152,154,157,158, 160,160,161,160,160,159,156,156,152,151,148,144,142,138,135,132,130,129,126,126,125,126,126,126, 127,127,128,127,128,127,128,127,128,126,125,123,122,119,118,115,114,111,108,108,105,105,103,104, 104,105,105,106,109,112,115,117,122,124,129,131,136,137,141,141,144,145,145,146,145,144,142,141, 138,134,132,128,124,121,116,113,108,106,101, 99, 95, 93, 90, 90, 89, 88, 89, 88, 91, 91, 95, 96, 100,101,106,108,112,114,119,120,124,125,127,128,130,131,132,132,133,133,133,133,133,134,133,134, 132,133,135,134,136,137,138,138,139,139,140,138,140,138,139,138,137,137,135,132,131,128,126,122, 120,116,114,112,109,106,105,104,101,102,100,102,102,104,106,109,112,115,121,124,130,134,139,144, 148,154,157,162,165,166,169,169,170,168,168,165,163,160,154,152,146,143,136,132,126,123,117,114, 111,107,106,104,104,104,105,105,107,107,111,112,116,117,121,123,126,127,129,131,132,132,132,132, 132,132,131,131,129,130,128,128,127,127,126,128,127,129,131,131,134,135,138,139,140,142,143,144, 146,146,147,146,147,145,143,143,140,137,134,131,128,125,121,119,114,113,109,107,104,103,101,102, 101,103,104,107,110,112,116,118,123,125,131,134,138,142,144,148,149,152,154,154,154,153,153,151, 150,148,146,142,140,138,134,133,129,128,125,125,124,125,124,125,125,124,125,124,125,125,126,125, 125,125,125,125,124,124,122,122,119,120,119,118,118,117,117,117,116,118,117,119,120,121,123,126, 128,131,133,137,139,142,145,145,149,150,152,152,153,153,152,151,149,146,144,140,137,133,129,124, 120,116,110,107,101, 99, 94, 92, 89, 89, 88, 87, 89, 89, 93, 94, 98, 99,104,106,112,113,118,120, 125,127,128,131,131,133,133,134,134,134,134,133,131,131,130,128,127,125,124,123,122,122,121,122, 123,122,124,123,126,125,128,127,130,129,131,131,132,131,132,130,129,129,125,125,122,121,119,116, 115,113,111,111,108,109,109,109,109,112,114,117,119,123,126,130,134,137,142,144,149,150,155,156, 159,159,160,161,160,158,157,155,153,149,147,143,140,137,132,129,125,123,119,118,116,114,114,113, 114,114,114,115,115,117,117,119,120,123,123,126,126,128,127,129,129,130,130,130,131,130,131,131, 129,130,129,130,129,130,131,132,132,134,134,135,138,137,140,139,142,142,143,143,144,142,142,140, 139,136,134,131,128,124,122,118,115,112,108,106,103,100, 98, 97, 96, 96, 97, 98,100,102,106,108, 113,115,120,122,128,132,137,141,144,148,151,153,155,157,157,157,156,155,152,152,148,147,143,141, 137,134,130,127,124,121,119,116,115,112,113,110,111,109,111,110,112,111,114,114,115,117,117,119, 119,121,121,122,120,122,120,122,120,121,118,119,117,119,118,120,119,122,123,126,129,130,134,135, 139,140,144,146,147,150,150,152,152,151,150,148,147,144,141,138,135,131,128,124,120,116,113,109, 106,103,101, 99, 98, 97, 97, 96, 98, 98,100,100,104,105,108,111,113,117,119,123,125,129,132,134, 136,138,140,141,142,144,142,143,140,140,137,137,135,133,131,129,128,125,125,122,123,120,120,120, 119,119,120,118,119,118,119,118,117,117,116,116,114,115,114,114,114,114,112,113,111,113,112,114, 114,116,117,120,122,125,128,132,134,138,142,144,149,150,155,157,158,161,161,163,162,163,161,161, 158,157,153,152,148,145,140,137,131,128,124,120,118,115,112,112,110,110,109,110,110,112,113,116, 119,120,124,126,128,132,133,137,138,139,142,143,144,145,145,145,145,144,144,144,141,142,140,139, 139,139,137,138,138,138,139,137,139,138,140,139,139,139,138,138,137,137,135,134,132,129,128,125, 123,120,118,116,112,109,107,104,103,102, 99,100,100,100,102,104,106,108,111,114,119,122,126,130, 134,138,141,145,148,151,152,154,154,156,156,155,154,152,151,149,146,142,139,135,132,128,126,122, 120,117,116,113,112,110,111,109,110,109,111,111,113,113,114,114,116,116,115,117,117,118,118,118, 119,118,118,120,119,120,119,121,121,123,124,126,128,129,131,133,135,135,138,139,139,140,141,142, 141,142,141,139,140,138,136,135,133,131,129,126,123,120,118,115,112,108,106,104,101,100, 98, 98, 97, 98, 98,100,101,103,105,108,111,114,117,121,124,125,128,132,133,136,138,138,140,140,141,141, 139,140,137,138,135,134,131,131,128,128,127,124,125,124,123,121,122,121,121,120,120,118,119,118, 117,116,115,115,114,115,113,113,112,111,111,110,109,108,107,107,106,107,106,108,109,109,112,113, 117,118,123,124,129,132,136,138,143,144,149,150,153,154,156,156,157,156,156,155,153,152,148,147, 143,139,135,131,129,125,122,120,116,115,113,112,112,110,111,110,112,113,114,116,117,119,122,123, 127,128,132,134,137,140,142,144,146,147,149,149,150,151,149,151,150,149,149,148,148,148,146,146, 145,145,143,143,142,142,141,139,139,137,137,135,135,133,131,130,129,128,125,125,122,122,118,118, 115,116,113,113,112,111,111,111,113,112,115,116,119,120,124,125,129,130,135,137,139,142,143,146, 148,148,149,149,150,149,148,149,145,145,141,141,137,136,133,129,127,126,122,122,119,119,117,117, 116,116,116,116,116,116,116,117,117,118,118,120,120,121,122,123,124,125,126,126,127,127,127,127, 127,126,127,126,127,127,128,128,130,129,131,132,133,134,135,137,137,138,139,140,140,140,139,140, 139,138,135,135,132,131,126,125,121,118,115,112,109,106,104,101,101, 99,100, 98,100,101,101,103, 106,106,111,111,115,116,121,122,126,128,130,133,135,137,139,141,140,142,141,141,140,139,138,136, 134,132,130,127,126,123,122,119,118,116,115,113,112,110,109,108,108,108,107,108,108,109,110,110, 110,112,111,113,112,113,113,113,112,113,112,112,113,113,114,115,116,117,118,120,122,123,126,127, 130,130,134,135,136,137,138,139,141,140,141,140,141,141,138,139,136,136,132,132,129,128,124,123, 120,118,117,114,114,113,112,112,112,113,113,114,115,117,119,121,123,126,128,130,133,134,136,139, 140,142,142,144,144,145,145,145,144,143,143,144,142,143,141,141,141,141,141,140,141,139,141,139, 141,139,140,139,139,139,138,139,139,139,136,137,134,134,132,130,128,127,124,121,120,117,116,114, 114,112,113,112,114,115,116,118,120,123,125,128,132,133,137,138,142,143,147,149,149,152,152,154, 152,153,150,151,148,145,142,140,135,133,129,127,124,120,119,116,114,113,112,111,111,111,111,112, 113,112,115,116,118,120,122,123,126,127,129,130,132,133,132,134,133,134,134,133,133,134,133,134, 133,133,135,134,136,136,136,137,138,136,138,137,138,137,138,137,136,137,135,135,133,133,131,131, 128,126,124,122,120,118,116,114,112,111,110,109,108,106,108,106,108,108,109,111,112,115,116,119, 121,124,126,130,133,135,138,141,141,145,144,146,146,146,144,144,141,140,137,136,132,131,129,126, 125,122,121,120,118,117,116,115,115,113,114,113,113,114,113,114,114,113,114,113,113,114,113,112, 112,112,112,113,111,112,112,112,113,113,114,114,117,116,119,119,121,123,125,126,128,129,131,131, 134,134,136,135,137,137,136,137,134,135,132,130,128,125,123,121,117,115,112,111,109,106,106,104, 105,103,105,104,107,107,110,110,113,116,118,121,124,126,129,131,135,137,140,141,143,145,145,146, 146,146,146,144,144,142,141,139,139,136,136,134,134,132,133,131,130,130,129,129,129,129,128,129, 129,128,129,129,130,129,130,130,129,129,128,127,127,126,126,124,124,123,123,123,122,123,124,123, 125,124,127,128,130,130,133,132,136,136,139,140,143,144,146,146,148,148,148,147,147,147,144,143, 140,139,136,134,131,129,126,124,122,120,119,117,115,115,114,113,113,113,113,114,116,116,118,118, 121,122,124,125,128,129,130,131,133,135,134,136,135,137,136,137,137,137,137,137,136,137,136,137, 136,136,137,136,136,136,136,136,136,136,135,136,136,136,135,135,133,133,130,130,126,126,124,122, 119,117,116,114,112,110,110,109,109,109,110,109,112,112,115,116,119,120,124,125,128,131,133,136, 138,140,140,142,141,143,141,142,141,139,138,137,135,133,132,129,128,126,125,123,122,119,119,117, 115,115,114,114,113,114,115,115,115,117,117,119,120,121,122,123,123,125,124,124,124,124,124,124, 122,122,120,120,119,119,120,118,120,119,121,120,123,122,125,125,127,127,129,130,130,132,132,133, 133,133,133,132,132,130,129,128,125,125,121,121,117,116,114,111,111,108,108,106,106,104,105,103, 106,105,106,108,109,111,113,116,119,122,123,127,129,133,134,137,137,141,140,143,143,143,144,143, 143,143,141,141,141,139,139,136,136,134,134,132,133,131,131,130,131,130,129,130,130,129,130,130, 130,129,129,128,128,127,126,125,125,123,123,122,122,123,123,122,124,123,126,127,128,130,131,133, 135,137,138,141,143,144,146,147,149,149,150,151,149,149,147,147,143,143,139,138,135,132,128,126, 123,121,119,117,115,113,112,112,111,111,112,111,114,114,116,117,120,122,122,125,126,129,129,132, 132,134,134,135,135,135,135,134,134,133,132,132,131,131,130,131,131,129,131,130,132,131,133,133, 133,134,134,136,135,137,136,137,136,137,135,135,134,132,131,129,128,126,125,122,121,119,118,117, 116,116,116,114,116,115,117,118,118,120,121,124,125,127,129,131,133,134,137,138,141,141,143,143, 144,143,143,142,142,140,138,137,135,132,131,128,126,122,122,118,118,115,116,114,114,112,114,113, 114,115,115,117,117,119,120,120,122,122,123,123,124,124,124,124,124,123,124,123,124,123,123,123, 123,124,124,125,125,125,125,126,126,127,128,128,128,129,129,130,129,131,130,130,130,130,127,128, 125,125,123,120,119,116,115,112,111,109,108,106,106,104,105,103,105,104,106,105,108,108,111,111, 114,115,119,120,123,124,126,127,129,131,130,132,131,133,132,131,132,130,130,129,129,127,127,125, 126,125,124,124,123,124,123,124,124,123,125,124,126,126,127,127,128,128,129,129,130,130,130,131, 129,130,129,130,128,129,128,128,127,128,127,128,128,129,130,129,131,131,134,134,137,138,139,141, 143,144,146,147,148,150,150,149,150,149,148,147,146,144,142,140,138,135,134,131,130,126,126,123, 122,119,119,117,118,115,116,115,116,115,118,117,120,121,122,125,127,128,130,131,133,134,134,136, 135,137,136,136,135,135,134,134,133,133,132,132,132,130,131,130,131,129,130,129,128,129,128,129, 128,130,129,130,129,131,129,130,128,129,127,128,126,126,124,124,122,122,120,120,120,119,119,118, 120,119,121,121,123,123,126,127,131,133,135,136,139,141,143,144,146,146,147,148,147,146,145,143, 142,139,138,135,132,131,128,126,124,123,122,120,119,117,117,116,116,115,114,115,114,115,115,117, 118,118,120,120,121,123,122,124,124,124,126,125,126,125,127,127,127,126,128,126,127,128,127,128, 128,128,128,129,130,130,131,131,131,132,133,134,135,134,135,134,134,133,131,131,128,127,124,123, 120,118,117,114,113,112,110,109,109,107,108,106,108,106,109,108,111,111,114,115,118,120,122,125, 126,130,131,134,134,137,136,138,138,138,138,137,136,135,133,132,129,128,125,124,122,120,118,115, 115,112,111,110,109,110,109,110,111,112,113,115,115,118,117,120,121,122,123,124,124,126,125,127, 126,126,127,125,127,125,127,127,128,127,128,128,129,130,130,131,132,134,135,135,137,138,139,141, 140,143,142,142,142,142,141,141,138,138,135,135,133,130,130,128,126,125,123,122,121,120,120,119, 119,119,120,119,121,121,124,126,126,129,129,133,134,136,136,137,138,139,139,140,138,139,138,138, 138,136,136,134,134,132,132,129,130,127,127,125,125,124,123,123,122,124,124,124,125,126,125,127, 126,126,126,125,125,124,124,122,122,121,119,119,119,117,118,117,119,117,119,118,121,121,122,123, 124,125,126,129,131,132,134,135,138,139,141,143,144,145,144,145,144,145,143,143,141,140,138,137, 135,133,132,129,128,126,124,122,120,119,117,117,116,116,116,116,117,118,120,120,123,125,125,128, 128,131,131,132,133,134,135,135,136,135,136,135,136,134,135,133,134,132,133,132,131,131,131,130, 131,130,131,131,130,131,130,132,130,132,131,130,130,131,128,129,127,128,127,126,124,125,123,122, 122,120,120,118,118,117,117,116,116,116,116,117,117,119,120,120,123,124,126,127,129,130,132,132, 134,134,135,136,134,135,135,133,134,132,132,130,130,128,127,125,125,122,122,120,119,118,117,117, 116,116,115,116,115,117,117,116,117,117,118,117,118,118,119,120,119,120,120,121,121,122,123,122, 124,124,126,126,127,126,128,127,129,128,130,130,132,132,134,135,135,135,137,137,137,137,137,137, 136,136,135,133,133,132,129,129,127,127,124,124,123,121,121,119,120,117,118,118,118,118,119,120, 121,123,124,127,129,130,132,134,136,138,139,139,141,141,142,143,142,144,142,143,141,142,140,140, 138,137,135,134,132,131,129,128,127,126,126,125,124,124,123,124,123,122,123,122,122,121,122,121, 121,121,121,120,121,120,121,121,120,120,120,120,120,120,120,118,120,120,121,120,122,121,124,124, 126,127,129,131,130,133,132,134,134,134,134,133,133,133,131,131,130,128,128,126,126,125,124,122, 122,120,120,118,119,118,119,118,119,119,121,122,121,124,123,125,125,127,126,128,128,130,129,131, 130,132,132,133,132,133,133,134,134,135,135,134,135,134,135,134,133,133,132,132,131,132,131,132, 132,132,130,132,130,132,130,131,129,130,130,129,128,128,126,127,125,126,124,125,124,124,123,124, 124,122,124,123,125,123,126,126,126,128,129,129,131,131,133,133,135,135,136,136,137,138,136,138, 137,136,136,134,134,132,132,130,130,127,127,124,124,123,122,119,120,117,118,116,117,116,117,117, 117,118,117,119,120,120,121,122,121,123,122,124,123,124,123,124,124,124,124,124,123,124,123,123, 124,122,123,122,124,122,124,124,124,125,126,127,126,128,127,129,129,129,130,130,130,130,130,129, 129,128,129,127,127,125,124,124,123,122,121,120,120,119,119,118,119,118,120,119,121,122,123,124, 125,126,128,130,129,132,132,135,134,137,136,138,137,139,138,139,138,139,139,137,138,135,136,133, 134,132,132,129,130,128,128,126,127,127,125,126,126,125,125,124,125,124,125,124,125,124,125,125, 124,125,124,125,125,125,126,124,126,125,126,126,125,126,126,127,126,128,127,129,128,130,130,130, 130,130,130,130,130,129,129,128,128,127,127,127,125,126,125,124,122,122,121,120,119,119,118,117, 116,116,116,115,115,115,115,115,116,117,118,118,120,120,122,124,124,127,126,129,129,132,132,133, 134,133,134,134,135,134,135,134,133,132,131,131,130,130,128,129,128,128,128,127,127,127,127,126, 126,125,125,125,123,125,123,124,123,123,124,123,124,123,124,123,124,123,124,123,125,123,125,125, 126,125,126,126,128,129,129,131,131,133,133,136,135,138,137,139,139,140,139,141,140,141,140,140, 139,138,137,135,135,132,132,129,129,126,124,123,121,120,118,118,117,117,117,116,117,116,117,117, 118,120,119,121,122,123,124,125,126,128,127,130,129,131,131,133,132,133,133,133,133,133,133,130, 131,129,130,128,128,127,126,125,125,124,124,122,122,121,121,120,121,121,120,119,120,119,119,119, 118,119,118,118,118,118,119,118,118,118,118,119,119,121,121,123,124,124,126,127,129,131,130,133, 133,136,135,138,137,139,138,138,138,138,138,137,137,136,135,134,133,132,130,130,128,128,126,126, 125,126,125,124,125,124,125,125,124,126,125,127,127,127,128,128,129,130,130,130,131,131,132,131, 133,132,132,133,132,133,133,131,133,132,132,133,132,133,132,133,134,133,134,134,133,134,133,134, 134,133,133,132,132,131,131,130,129,128,128,127,125,124,123,122,121,118,119,118,117,116,116,116, 116,115,117,116,118,118,120,120,121,122,123,124,125,126,127,127,129,129,130,130,132,131,133,133, 133,132,133,132,133,131,131,129,130,129,127,127,125,125,124,123,121,121,120,120,119,119,119,119, 118,120,120,120,121,120,122,121,123,122,124,123,125,124,124,124,125,124,126,124,126,125,127,128, 127,129,129,130,130,131,131,132,131,133,132,134,133,134,133,134,133,134,133,134,133,133,132,132, 130,130,129,128,128,126,126,125,124,125,125,124,125,124,125,124,125,125,126,126,126,128,127,129, 128,130,130,131,131,132,131,133,132,133,132,132,131,131,130,130,129,129,128,129,129,128,129,128, 129,129,128,129,128,129,128,129,127,128,128,127,125,126,124,124,123,121,122,120,120,118,118,116, 117,114,115,113,115,113,115,114,116,115,118,118,120,121,123,124,126,127,129,131,130,133,133,135, 136,136,136,136,136,136,135,134,134,132,131,129,128,127,125,124,123,121,122,120,121,121,121,120, 121,121,122,122,123,124,125,126,127,127,129,130,130,130,131,131,131,132,131,132,132,131,131,131, 130,130,129,130,130,129,130,130,131,132,132,133,133,134,134,135,136,136,136,137,136,137,135,136, 135,134,134,133,132,131,130,128,127,125,124,123,123,120,121,119,120,119,118,120,120,120,121,121, 123,124,125,127,127,129,129,132,131,134,133,135,135,135,136,135,136,134,135,132,133,130,130,127, 128,125,126,123,124,123,122,123,122,123,123,124,124,124,125,125,126,126,127,128,127,127,128,126, 127,126,126,124,125,123,124,123,123,121,122,120,121,120,121,120,121,120,122,122,122,123,123,125, 124,126,126,127,128,128,129,130,129,131,129,131,129,130,128,128,127,126,124,124,122,121,120,119, 118,116,117,115,116,115,116,117,117,118,119,121,121,123,124,126,127,130,130,132,132,134,134,136, 135,136,135,136,135,134,133,133,132,131,130,129,128,128,126,126,126,125,125,124,125,125,126,127, 126,128,127,130,130,130,131,132,131,133,132,133,132,132,131,131,129,128,128,126,126,124,122,122, 121,121,120,120,121,120,121,121,123,123,124,125,126,127,129,130,131,131,132,133,134,134,133,134, 133,133,133,130,131,129,127,127,125,125,124,123,122,121,122,121,121,121,121,121,122,122,123,125, 124,127,126,128,128,130,130,130,131,130,132,131,130,130,129,129,128,128,127,126,126,126,126,126, 126,125,126,127,126,129,128,130,130,131,132,132,133,134,134,134,135,135,135,135,135,134,134,133, 132,131,129,128,127,125,125,123,122,121,121,121,121,121,120,122,121,123,124,125,126,127,128,131, 130,133,133,135,135,135,137,137,136,136,135,135,135,133,133,132,130,130,128,128,126,126,125,125, 124,125,123,125,123,125,123,125,124,126,126,126,127,128,127,129,128,130,129,130,130,129,130,130, 129,129,129,127,128,125,126,124,125,124,123,124,123,124,123,125,125,125,126,127,128,129,130,130, 131,132,131,133,131,132,131,131,130,129,127,126,125,123,121,120,118,117,116,115,113,113,112,112, 112,111,112,112,111,114,113,116,116,119,119,122,122,125,125,129,130,130,132,132,133,134,133,133, 133,133,133,130,131,130,129,127,127,126,125,125,123,124,122,124,123,125,123,126,125,127,126,128, 128,129,129,129,130,130,131,129,130,129,129,126,127,124,125,123,123,122,122,120,122,121,121,122, 121,123,124,124,126,128,128,131,131,134,134,137,136,139,138,140,140,138,139,137,137,134,135,131, 131,127,127,124,123,121,119,118,118,116,116,114,115,114,115,116,117,117,119,121,122,124,126,128, 130,131,133,135,135,136,136,137,137,137,136,135,134,134,133,132,131,129,129,126,126,126,124,125, 124,125,125,126,125,127,127,128,129,131,132,134,133,135,135,135,136,134,135,133,134,131,131,129, 128,126,125,124,124,121,122,120,120,119,120,119,120,122,121,124,123,126,127,129,129,132,132,135, 135,137,138,138,139,139,139,138,137,136,135,133,132,130,129,125,125,122,122,119,119,118,118,117, 117,117,118,118,119,119,121,122,123,124,126,128,128,130,130,131,131,131,132,130,131,130,129,129, 128,128,127,126,126,126,125,126,125,126,125,127,126,129,128,130,129,132,132,133,134,134,135,135, 136,135,136,134,135,132,133,130,130,127,127,125,123,121,120,118,118,115,115,114,114,112,113,113, 114,115,114,118,117,121,122,123,125,128,128,131,131,133,132,134,133,133,132,132,131,130,128,127, 126,124,124,120,120,118,118,116,115,116,115,117,116,117,118,118,120,121,122,123,125,126,127,128, 128,129,129,129,129,129,129,127,127,126,125,124,124,121,122,119,120,119,118,118,117,119,118,121, 121,123,124,126,128,131,131,135,134,138,137,140,140,140,139,140,139,138,137,135,134,131,131,127, 127,124,122,120,119,118,116,117,116,117,116,118,117,120,120,123,123,127,127,131,132,133,135,136, 138,137,139,138,139,137,139,136,137,135,134,133,131,130,129,128,126,127,125,126,125,126,126,128, 127,129,128,132,131,134,134,135,136,137,136,137,136,136,135,135,134,133,132,130,129,127,126,125, 123,122,121,121,120,120,119,121,120,123,123,125,126,128,130,133,134,136,138,140,139,142,141,142, 141,142,140,140,138,137,135,133,133,129,129,126,125,122,122,119,119,119,117,118,117,117,118,118, 119,121,120,123,122,125,126,127,128,128,130,129,131,129,131,130,130,130,130,127,128,127,126,125, 124,124,123,123,122,123,123,122,123,125,124,126,126,129,129,131,132,133,134,136,136,136,137,136, 135,135,133,132,131,129,129,126,125,122,121,120,118,118,116,117,116,117,117,118,118,119,121,123, 123,126,126,129,129,132,133,133,135,134,136,135,135,135,134,133,133,130,130,127,128,124,124,122, 122,119,119,117,117,116,117,117,116,118,118,119,120,122,122,123,125,125,127,128,127,128,128,128, 127,127,126,125,124,123,123,120,121,118,118,116,117,115,116,115,116,116,117,118,119,121,121,124, 124,127,127,130,130,130,131,132,131,131,130,130,129,128,127,125,124,122,121,119,118,115,115,114, 112,113,112,113,112,114,114,117,117,119,120,122,124,126,128,129,132,132,133,134,134,135,134,134, 134,133,133,132,131,130,130,127,128,125,126,125,124,125,124,124,125,125,126,128,127,130,129,133, 133,134,136,137,137,138,138,138,138,138,137,136,135,134,134,130,131,128,128,126,126,125,125,125, 123,125,124,126,125,128,127,130,131,132,134,135,137,138,140,141,141,142,141,142,142,142,141,140, 139,136,137,133,133,130,130,126,126,125,124,122,120,121,119,120,119,121,120,122,122,125,124,127, 128,129,131,131,133,132,134,133,134,132,134,131,132,130,130,127,128,126,124,124,122,122,120,121, 119,121,119,121,120,122,123,124,125,126,128,129,130,132,131,133,132,134,133,133,133,132,132,130, 131,129,127,126,125,124,124,121,122,120,121,120,120,120,121,121,122,123,124,127,126,130,130,133, 134,134,136,135,137,136,137,136,137,134,135,132,133,129,130,126,126,123,123,120,120,119,117,117, 115,117,116,117,116,119,119,120,122,123,124,125,126,128,127,129,128,129,129,130,129,129,129,127, 128,126,125,124,123,123,123,120,121,120,120,120,120,120,121,122,121,124,122,125,124,127,125,127, 126,128,127,128,127,128,127,127,126,125,124,122,121,119,118,117,115,114,113,112,112,111,111,111, 111,112,112,115,114,118,117,121,121,124,124,126,126,128,129,129,130,130,132,130,132,130,130,127, 128,125,126,123,124,121,122,120,120,119,120,119,120,122,120,123,123,125,125,127,127,128,129,129, 130,129,129,128,129,127,130,129,132,132,134,136,138,139,141,142,142,144,143,145,146,147,148,148, 150,151,153,154,156,158,161,163,163,165,164,165,165,163,163,159,157,155,152,149,145,141,138,133, 129,124,123,120,119,119,117,117,116,114,114,114,116,119,121,126,129,132,136,138,138,140,139,140, 140,140,140,137,137,133,131,125,123,118,116,111,108,106,102,100, 98, 95, 93, 92, 90, 89, 89, 89, 90, 91, 92, 94, 96, 98,101,104,106,111,113,116,118,120,120,121,121,121,119,118,116,114,111,110, 107,106,104,104,103,103,102,102,103,104,104,105,107,110,110,114,115,116,118,119,121,122,123,123, 126,125,128,126,128,125,126,123,123,121,119,117,115,114,112,110,108,108,107,108,106,108,107,107, 107,109,109,111,112,115,118,120,123,125,130,132,136,137,140,140,142,142,142,140,141,138,138,136, 135,134,133,132,132,133,134,137,140,144,147,153,156,162,164,169,170,173,173,173,174,172,173,170, 171,169,167,166,164,162,160,155,153,148,144,140,134,131,126,124,121,118,116,114,112,111,110,111, 110,113,113,117,117,120,122,124,125,127,128,130,130,130,129,129,128,128,126,126,124,124,123,122, 122,120,120,119,120,119,121,122,125,128,132,137,140,146,150,154,158,161,164,168,170,173,173,173, 171,169,166,164,162,160,160,159,160,159,159,156,156,154,155,154,154,155,153,155,154,156,154,155, 153,155,153,155,154,154,155,153,154,152,152,151,151,148,148,145,144,140,137,132,128,122,118,112, 108,103, 99, 95, 89, 87, 82, 80, 75, 74, 71, 72, 70, 72, 72, 75, 78, 81, 83, 87, 90, 94, 96, 98, 100, 99,101, 99,100, 98, 98, 96, 94, 93, 90, 90, 88, 89, 89, 89, 90, 92, 91, 93, 92, 94, 93, 95, 95, 95, 96, 94, 95, 94, 95, 93, 95, 93, 95, 94, 97, 96, 98, 99,100,102,105,106,109,110,111,113, 113,115,114,115,113,115,112,113,111,113,112,114,115,116,118,120,122,125,128,130,133,136,138,140, 142,141,143,142,142,139,138,134,132,129,126,124,122,122,120,123,123,127,129,135,139,147,151,158, 163,168,171,176,180,182,186,187,190,190,192,190,191,188,189,185,185,183,180,179,176,174,170,168, 164,162,158,157,152,151,149,147,143,143,140,139,137,136,135,135,133,133,130,129,127,126,124,122, 121,120,119,118,117,114,113,110,108,106,105,104,104,102,102,101,101,101,101,102,104,108,111,117, 121,128,131,137,140,142,145,146,149,149,150,150,150,148,148,147,146,143,143,142,142,141,142,142, 144,145,146,147,149,151,154,155,156,159,158,159,159,159,158,159,158,159,159,159,160,158,159,157, 158,155,155,151,150,146,144,139,136,131,128,124,120,116,110,107,101, 99, 93, 92, 88, 87, 84, 84, 82, 83, 83, 83, 85, 86, 88, 90, 91, 91, 94, 92, 94, 91, 92, 89, 88, 85, 84, 82, 81, 79, 79, 79, 79, 80, 79, 82, 82, 85, 86, 88, 88, 90, 91, 90, 92, 91, 92, 91, 92, 92, 92, 92, 93, 93, 94, 96, 98,101,102,106,109,112,115,118,120,123,124,126,127,127,127,126,126,124,123,122,119,118,116,113, 113,113,113,114,115,115,118,118,121,121,125,124,126,126,124,123,120,118,114,110,108,104,102,100, 100,101,101,105,106,110,112,118,123,128,134,139,144,149,154,156,161,162,165,165,168,168,171,170, 172,171,172,172,172,173,172,173,173,171,170,168,167,165,164,163,162,161,162,161,159,160,158,158, 157,155,156,155,154,154,153,152,149,147,143,141,137,136,133,133,130,130,128,125,122,120,115,114, 109,108,104,104,102,103,102,103,105,107,112,114,119,121,123,126,128,129,130,131,131,129,130,128, 128,126,125,123,124,124,123,125,125,128,130,133,136,138,141,144,146,148,149,149,151,150,152,151, 152,152,152,153,153,154,154,155,155,155,155,156,156,157,157,157,156,154,153,152,149,147,142,140, 135,132,127,124,119,116,112,110,107,106,107,105,107,107,109,111,112,113,114,115,114,113,114,111, 110,108,105,104,100, 99, 97, 95, 94, 94, 91, 92, 91, 93, 92, 94, 94, 94, 96, 97, 97, 98, 97, 98, 97, 95, 95, 92, 90, 89, 87, 86, 85, 85, 86, 85, 87, 87, 91, 93, 95, 99,102,104,108,111,114,116, 118,119,120,120,121,120,120,120,119,116,117,117,117,117,120,120,124,125,129,130,133,133,133,134, 133,131,130,127,126,123,121,119,115,115,114,114,115,116,119,122,124,130,133,138,141,147,152,154, 160,161,166,166,169,168,171,170,174,174,178,179,182,183,184,184,185,185,184,186,185,186,185,184, 183,181,179,177,176,175,173,173,171,170,169,166,166,161,160,156,155,152,150,146,145,142,142,141, 139,139,138,137,136,135,133,130,127,123,120,116,113,111,108,108,106,106,106,107,108,110,113,114, 118,120,121,123,125,124,126,124,125,123,123,120,119,117,115,116,115,117,117,120,120,123,123,127, 128,129,131,132,134,134,136,136,136,136,136,134,135,133,135,133,135,135,137,137,140,140,144,145, 148,152,153,157,159,161,160,162,160,161,157,157,154,151,147,143,140,135,133,129,127,123,123,120, 120,119,118,118,118,117,116,115,113,113,111,111,108,107,104,102, 98, 97, 93, 92, 90, 88, 87, 87, 86, 87, 86, 86, 87, 87, 89, 89, 90, 90, 90, 91, 91, 88, 88, 85, 85, 83, 81, 82, 81, 82, 81, 83, 84, 84, 85, 86, 85, 87, 87, 90, 92, 94, 97, 97, 97, 96, 93, 93, 92, 89, 89, 88, 88, 90, 93, 93, 97, 97,100,102,105,109,113,115,114,114,112,110,107,102, 97, 92, 86, 85, 81, 79, 79, 79, 81, 84, 87, 94,101,109,116,124,132,138,148,155,164,169,176,179,185,187,192,193,193,193,192,189,186,181, 175,170,162,154,148,143,139,136,134,131,132,132,136,138,143,146,152,155,162,168,176,181,185,187, 188,190,190,191,192,190,189,187,184,179,172,166,156,148,138,131,123,118,113,107,104,102,102,103, 105,109,112,116,120,127,134,143,150,157,163,166,172,174,177,177,176,173,169,164,156,148,136,125, 112,103, 92, 87, 79, 77, 74, 72, 74, 76, 81, 86, 93, 98,103,111,120,127,137,144,150,154,160,163, 167,167,169,169,170,170,171,169,164,160,152,147,140,136,131,126,122,117,114,111,107,107,105,104, 101,101,102,103,108,111,117,120,126,128,134,135,140,141,144,145,147,146,145,140,134,125,116,107, 100, 92, 86, 80, 76, 73, 71, 73, 73, 76, 78, 82, 86, 92, 98,106,112,118,124,127,130,133,135,133, 134,132,132,129,127,122,116,107, 99, 90, 83, 77, 72, 67, 63, 61, 58, 61, 63, 68, 72, 75, 80, 83, 89, 91, 97, 99,104,106,111,113,117,119,121,123,125,128,131,134,133,134,130,127,122,116,110,104, 96, 91, 84, 83, 80, 82, 84, 85, 88, 92, 96,102,109,116,124,130,139,144,151,155,157,159,161,161, 164,165,166,164,162,159,153,150,146,144,141,138,134,134,132,134,136,137,140,143,145,152,158,163, 171,176,184,189,196,199,201,202,201,201,200,200,200,196,194,188,183,175,167,162,153,147,138,133, 128,124,123,121,120,118,118,117,119,121,123,126,130,133,139,141,147,148,152,155,158,161,164,167, 167,167,163,160,152,147,139,132,122,116,108,105,101,100, 99,100,100,104,107,114,120,125,134,140, 149,155,160,165,168,170,171,171,173,173,175,172,169,164,157,152,145,138,129,123,115,112,108,109, 107,110,109,112,113,117,121,124,130,133,139,142,148,149,152,154,155,156,156,157,160,159,160,156, 153,148,141,136,127,120,109,102, 93, 87, 81, 76, 70, 67, 64, 63, 65, 67, 71, 74, 80, 85, 92, 97, 105,108,114,116,121,122,127,127,129,127,126,123,119,114,107, 98, 90, 79, 71, 63, 59, 55, 53, 51, 53, 54, 59, 62, 69, 74, 81, 87, 95,101,109,114,119,120,120,121,120,121,121,121,121,119,119,118, 114,112,108,103, 97, 93, 88, 86, 81, 80, 75, 75, 74, 74, 75, 78, 80, 84, 88, 93,102,108,115,121, 126,131,137,143,148,154,157,160,161,164,165,164,163,160,158,156,153,154,152,153,152,152,152,153, 154,155,157,158,161,163,169,172,178,182,184,185,186,187,189,189,190,187,186,182,181,178,172,167, 159,154,146,143,136,135,130,130,128,129,129,130,133,134,137,139,141,145,148,151,153,155,156,157, 159,161,163,164,165,165,166,165,164,160,156,149,142,135,128,123,115,111,104,100, 97, 95, 96, 96, 98, 99,104,109,117,122,129,133,138,140,146,148,152,153,155,156,156,156,154,153,148,143,135,129, 123,116,112,107,104,102,102,104,105,111,115,121,127,133,141,148,155,158,163,163,166,165,165,164, 160,155,150,144,140,133,129,121,115,108,100, 94, 85, 80, 72, 68, 63, 60, 58, 58, 59, 60, 60, 64, 68, 75, 82, 89, 95,101,108,111,117,118,122,120,123,121,124,123,125,124,120,117,109,104, 94, 88, 79, 71, 63, 57, 52, 48, 45, 43, 43, 43, 47, 52, 61, 68, 78, 84, 94,100,109,113,118,121,122,122, 123,121,120,119,116,114,109,106,102, 98, 95, 91, 88, 86, 84, 84, 85, 86, 88, 90, 93, 97,103,108, 115,120,126,132,138,144,150,154,158,160,162,164,166,166,166,163,159,154,147,143,135,131,123,119, 112,110,106,107,104,106,106,108,113,118,126,132,141,147,157,164,174,181,188,192,198,200,204,206, 208,207,206,203,199,192,187,179,171,162,155,147,140,137,131,130,125,127,126,131,133,139,142,148, 151,156,161,163,166,166,167,166,165,164,164,161,161,157,152,149,145,139,134,127,121,116,108,105, 98, 96, 90, 90, 87, 90, 93, 98,103,109,118,125,136,145,155,162,172,177,185,188,195,196,200,199, 199,195,193,187,181,173,162,152,139,131,119,112,101, 97, 89, 88, 86, 88, 89, 95,100,107,116,124, 135,144,152,158,166,168,173,174,177,177,176,174,172,167,164,157,151,144,136,130,122,119,111,108, 100, 97, 91, 91, 89, 88, 90, 92, 97,100,105,108,114,115,118,117,120,119,122,121,120,118,116,113, 111,105,101, 93, 86, 78, 70, 64, 54, 49, 40, 35, 28, 26, 24, 25, 26, 31, 36, 43, 54, 63, 76, 87, 100,109,121,129,137,144,150,152,157,156,157,155,151,146,139,130,122,114,106, 98, 90, 84, 76, 71, 68, 66, 65, 66, 67, 69, 74, 79, 85, 90, 97,101,106,112,119,123,130,134,138,141,145,145,148,146, 145,142,137,134,129,127,122,121,116,116,114,114,116,118,122,127,131,140,147,156,164,173,179,186, 193,197,204,206,210,210,213,212,212,208,205,198,192,184,176,167,157,147,138,128,119,112,105,104, 100,101,102,106,112,119,126,134,141,148,154,161,166,171,175,175,178,177,177,176,175,172,167,164, 159,155,149,145,137,133,125,119,115,112,106,105,101,101,100,102,105,108,113,117,122,125,131,133, 139,140,146,147,152,153,157,156,158,156,153,150,145,141,134,130,122,118,111,106,102, 98, 96, 94, 94, 99,105,112,120,128,136,146,154,163,171,178,184,189,193,196,197,194,192,186,181,172,165,157, 147,139,127,119,107,100, 90, 85, 77, 74, 70, 69, 68, 72, 74, 80, 85, 90, 94,101,105,110,114,116, 121,122,126,126,129,128,128,124,123,119,118,113,110,106,100, 95, 90, 85, 79, 73, 69, 64, 62, 61, 62, 63, 65, 70, 73, 79, 84, 88, 95, 99,106,109,115,117,122,123,123,122,120,116,114,108,103, 95, 89, 83, 76, 71, 67, 64, 62, 61, 63, 66, 72, 78, 86, 93,102,109,118,126,132,140,146,152,157,162, 167,171,173,175,174,173,170,168,163,156,150,142,135,127,120,114,106,102, 96, 95, 94, 97, 98,103, 109,114,123,128,137,143,149,156,161,167,172,177,181,185,187,189,190,191,190,190,185,182,176,170, 164,158,151,145,139,135,132,131,130,133,135,141,146,153,160,168,174,180,184,188,190,192,192,191, 189,184,181,174,169,160,153,142,134,124,115,108, 98, 92, 83, 79, 73, 71, 68, 70, 71, 77, 82, 90, 97,104,114,121,128,134,143,149,156,163,169,174,177,181,182,184,183,183,180,178,172,168,159,153, 143,134,126,119,111,106,100, 97, 94, 94, 93, 96, 98,103,107,113,119,126,133,138,146,149,155,157, 161,161,161,160,156,151,147,140,135,127,120,112,104, 97, 91, 86, 83, 82, 82, 84, 88, 93, 98,105, 111,118,124,129,136,140,147,149,153,152,154,150,150,144,140,133,125,119,110,102, 92, 84, 75, 66, 58, 50, 41, 37, 30, 28, 24, 24, 23, 27, 28, 33, 38, 43, 49, 56, 64, 72, 81, 87, 96,102,111,116, 123,125,128,128,128,125,122,117,112,105, 99, 92, 87, 83, 80, 80, 78, 81, 83, 87, 92, 96,102,106, 111,115,121,125,129,132,135,135,139,139,141,139,138,135,132,126,123,117,112,105,100, 94, 89, 85, 82, 80, 80, 82, 86, 91, 99,108,116,127,136,148,159,167,178,186,194,202,209,215,222,224,227,229, 228,226,222,218,213,207,198,191,180,172,160,152,142,133,126,121,119,117,118,119,120,125,129,133, 141,145,153,157,165,168,174,175,179,177,178,176,174,170,167,162,158,151,145,139,133,128,123,121, 117,118,117,121,123,128,132,138,142,149,154,158,163,165,170,171,172,172,172,171,170,168,164,161, 155,151,144,139,132,126,119,112,106,101, 96, 91, 89, 88, 87, 89, 90, 92, 97,102,109,115,124,132, 142,150,161,168,179,185,194,199,203,206,208,209,206,204,198,193,185,178,168,160,150,142,132,125, 119,114,111,108,106,107,106,109,111,112,116,117,121,124,126,128,129,130,129,128,125,122,117,112, 108,101, 96, 89, 84, 78, 73, 68, 64, 61, 60, 60, 59, 62, 63, 68, 71, 76, 80, 85, 89, 95, 99,102, 108,111,115,118,122,123,126,127,126,126,123,118,112,105, 95, 87, 76, 65, 54, 45, 36, 29, 23, 21, 19, 22, 23, 28, 32, 40, 47, 56, 63, 72, 81, 91,100,109,119,125,134,139,146,149,153,154,154,154, 151,150,144,140,133,128,119,114,107,105,102,101,101,102,105,108,113,116,122,126,131,137,143,148, 153,156,161,163,166,166,168,167,167,165,165,162,159,154,149,145,138,134,129,127,125,124,123,124, 125,128,133,138,144,152,160,169,178,188,197,204,211,217,222,226,229,230,229,224,220,214,205,195, 185,172,161,147,135,123,112,103, 95, 88, 85, 83, 82, 83, 85, 88, 93, 96,103,108,114,120,126,131, 138,142,146,150,152,154,155,155,154,154,151,150,146,143,140,137,136,135,133,133,132,131,132,134, 135,136,138,139,141,142,146,147,151,152,157,158,160,162,163,163,163,161,159,155,152,147,140,134, 125,118,109,104, 95, 91, 85, 84, 81, 82, 82, 85, 87, 92, 96,102,109,117,124,133,141,150,157,165, 170,175,177,179,178,177,173,170,163,155,147,137,128,118,108, 99, 91, 83, 77, 73, 68, 67, 64, 65, 63, 64, 64, 65, 66, 67, 67, 69, 71, 72, 75, 77, 79, 83, 86, 88, 91, 92, 94, 94, 94, 91, 89, 85, 80, 76, 71, 67, 64, 62, 63, 63, 66, 70, 73, 78, 82, 89, 94,101,108,113,121,126,132,136,140,142, 144,143,144,142,141,137,134,128,122,113,105, 95, 87, 78, 69, 64, 58, 56, 53, 52, 51, 54, 58, 62, 69, 76, 85, 94,103,114,124,132,144,152,160,168,175,182,187,192,194,197,198,198,197,196,191,190, 185,182,176,173,168,166,162,159,156,155,152,151,149,149,149,150,151,153,156,157,161,163,164,166, 167,167,168,166,165,163,159,154,149,143,138,131,126,123,118,117,114,115,116,120,122,128,133,138, 145,151,157,164,171,176,183,185,190,191,193,192,192,189,184,180,172,165,156,148,139,130,121,114, 108,103, 98, 96, 94, 92, 93, 93, 95, 95, 98,100,104,106,112,115,122,125,132,136,140,146,151,157, 161,166,168,171,171,173,170,169,167,164,162,160,156,156,153,154,152,153,153,152,153,152,154,154, 154,156,157,159,161,161,161,161,159,158,156,151,148,141,136,128,120,112,100, 92, 81, 74, 66, 60, 55, 53, 51, 52, 54, 58, 61, 67, 72, 79, 85, 93, 99,106,112,117,121,122,126,127,130,131,131,132, 131,131,128,126,120,115,106,100, 91, 85, 76, 71, 63, 59, 53, 49, 46, 43, 43, 43, 43, 46, 50, 53, 58, 61, 68, 71, 77, 82, 86, 92, 96, 99,104,108,109,112,112,113,113,113,111,111,108,109,107,107, 108,108,111,114,116,120,123,125,130,133,139,142,148,151,157,159,162,164,164,164,164,161,160,156, 154,149,145,139,134,128,123,120,115,114,111,112,112,114,116,117,120,122,127,130,135,141,147,154, 161,167,174,180,186,192,196,202,205,210,211,214,213,212,208,203,198,191,185,176,170,162,156,151, 146,141,138,133,131,127,127,124,126,125,127,127,130,129,133,133,133,134,134,135,134,134,130,128, 122,119,113,107,102, 98, 93, 93, 90, 93, 95,100,103,110,114,122,128,133,140,146,151,157,162,164, 168,169,172,172,173,173,172,172,169,167,162,157,151,145,136,130,122,115,109,104, 99, 97, 94, 94, 92, 93, 92, 95, 95, 99,101,106,110,116,122,126,133,137,144,147,154,159,163,168,169,172,170,170, 167,162,157,151,144,139,132,128,123,120,116,114,113,112,113,114,116,118,120,121,122,122,122,120, 117,115,112,109,106,103, 99, 94, 89, 84, 80, 75, 70, 66, 60, 57, 52, 49, 47, 45, 46, 46, 48, 50, 54, 58, 61, 67, 72, 79, 87, 94,102,109,116,122,127,132,136,140,142,144,145,144,144,141,138,132, 126,120,112,105, 99, 93, 89, 85, 80, 77, 73, 71, 68, 68, 67, 69, 71, 74, 78, 82, 87, 92, 97,103, 108,114,120,124,129,133,136,138,140,140,141,140,140,141,140,143,144,147,150,155,157,163,165,170, 174,177,182,185,187,191,193,195,196,195,195,193,193,190,190,186,185,182,178,174,168,162,153,148, 139,134,127,121,118,114,112,111,109,110,111,112,116,118,123,128,134,138,146,150,158,164,170,177, 183,187,192,194,198,197,197,195,189,184,176,169,160,153,144,139,132,127,124,120,119,119,118,118, 121,121,125,127,128,130,131,133,133,134,134,136,137,136,138,137,138,135,134,131,128,124,121,118, 116,115,115,115,117,120,122,125,128,131,136,140,146,150,155,159,163,165,168,171,172,174,174,175, 174,174,172,169,164,161,153,148,139,132,121,112,102, 93, 84, 76, 69, 66, 62, 58, 58, 58, 59, 62, 66, 71, 76, 83, 89, 96,101,107,112,116,120,123,125,127,128,128,126,125,120,118,112,109,104,101, 96, 95, 91, 90, 86, 85, 82, 81, 79, 78, 80, 79, 81, 80, 83, 82, 85, 84, 87, 86, 89, 88, 91, 91, 91, 92, 91, 88, 87, 83, 80, 77, 73, 71, 68, 68, 67, 68, 70, 72, 75, 77, 82, 86, 92, 97,103,108, 115,120,127,132,139,143,150,153,159,162,166,167,170,169,166,163,157,152,145,137,130,124,118,114, 109,106,104,102,103,105,106,110,114,117,123,128,132,138,142,147,152,154,160,163,167,169,174,176, 179,179,181,181,179,178,175,172,171,169,168,166,166,165,165,165,166,166,168,168,170,169,171,170, 172,171,173,171,172,169,170,169,169,168,167,164,162,157,153,146,140,132,125,117,110,104, 96, 92, 87, 85, 84, 84, 86, 89, 95,101,106,115,122,128,137,143,152,158,164,170,176,179,183,184,186,186, 183,181,177,171,165,158,151,144,138,132,127,123,120,117,116,116,114,115,114,116,117,120,122,124, 128,129,132,134,135,137,138,141,141,143,144,144,145,143,142,139,137,134,131,128,126,123,121,118, 117,116,114,115,116,116,120,123,126,130,133,137,140,144,146,149,150,151,150,149,146,140,135,127, 119,109,100, 90, 81, 71, 63, 56, 48, 44, 38, 36, 32, 33, 32, 34, 37, 39, 45, 49, 55, 60, 68, 73, 81, 87, 95,101,107,114,119,122,127,128,129,128,126,123,120,115,112,108,103,101, 96, 95, 92, 90, 90, 89, 89, 89, 91, 90, 93, 92, 95, 95, 98, 99,102,104,107,107,111,113,114,116,116,116,113,112, 109,105,102, 98, 94, 94, 90, 91, 89, 93, 95,100,103,111,117,127,135,145,154,164,172,182,190,198, 204,209,214,218,221,223,223,222,218,215,208,203,194,187,178,171,162,155,147,142,136,133,130,128, 127,127,128,130,131,134,137,138,143,145,150,153,157,160,165,168,171,175,177,179,180,181,180,177, 175,171,168,162,158,153,146,143,138,136,133,131,130,129,130,130,132,133,137,138,142,143,146,147, 148,150,151,152,151,151,148,146,141,134,129,122,115,108,102, 96, 92, 88, 86, 84, 84, 85, 86, 91, 95,100,108,115,121,130,138,145,153,159,167,172,177,182,186,188,188,188,186,184,180,175,171,165, 160,154,146,140,132,127,119,114,107,102, 98, 93, 91, 88, 85, 85, 85, 87, 88, 92, 95, 99,104,109, 112,117,120,123,124,123,123,120,118,114,110,105,100, 97, 91, 89, 86, 82, 81, 81, 80, 82, 83, 85, 87, 90, 92, 96, 98,102,105,108,112,113,117,117,120,119,119,116,114,109,105, 99, 93, 85, 77, 71, 62, 57, 51, 46, 41, 38, 37, 37, 39, 40, 44, 48, 52, 59, 63, 70, 76, 84, 91, 97,106,113,120,128, 133,140,145,147,150,151,151,149,148,144,141,136,132,126,121,115,111,107,104,101,101, 99,101,102, 106,108,113,116,123,127,133,137,144,150,154,159,163,165,167,168,167,168,164,163,159,157,153,150, 146,144,142,141,142,143,144,148,151,156,160,164,171,175,181,185,191,193,198,200,203,204,204,205, 204,204,202,199,193,189,182,178,170,164,156,148,139,133,124,118,111,107,103, 99, 98, 97, 99, 99, 102,105,108,112,117,124,131,137,146,153,160,164,170,173,176,176,177,176,174,171,168,163,159,153, 149,144,141,138,134,133,130,130,130,129,131,132,135,137,139,143,146,149,151,153,154,155,155,153, 152,148,145,141,137,132,127,121,117,113,110,107,104,104,102,103,102,104,104,105,108,109,113,116, 120,123,129,133,140,144,151,155,161,164,167,169,167,167,164,161,155,147,140,131,122,113,104, 94, 87, 79, 73, 66, 61, 58, 54, 53, 51, 52, 52, 52, 55, 57, 62, 65, 71, 74, 81, 86, 91, 96, 99,103, 104,106,105,106,103,102, 98, 96, 92, 90, 87, 84, 84, 82, 83, 83, 86, 89, 91, 94, 97,101,105,107, 112,114,119,120,125,126,129,129,131,131,129,129,125,123,119,116,110,104, 99, 93, 87, 83, 77, 74, 70, 68, 66, 66, 66, 69, 72, 76, 82, 89, 96,105,113,123,132,141,152,161,171,179,186,192,196,198, 200,200,199,196,192,187,183,176,171,164,159,153,147,143,140,137,136,135,136,136,139,140,144,146, 148,152,155,158,160,162,163,164,163,163,161,162,161,159,158,155,153,150,147,144,142,139,137,137, 135,136,135,136,136,138,139,141,143,146,149,152,156,160,163,167,170,171,174,173,174,172,171,167, 163,158,150,145,136,131,123,117,108,103, 96, 91, 87, 83, 82, 80, 81, 84, 86, 90, 96,100,109,115, 125,133,140,149,156,163,167,172,174,177,176,177,173,172,168,166,161,159,155,152,150,147,145,142, 141,139,136,135,134,131,130,127,127,125,126,126,127,127,127,129,128,130,129,130,129,128,125,121, 117,114,109,103, 99, 93, 89, 85, 81, 79, 76, 76, 75, 76, 77, 79, 82, 85, 89, 91, 97,101,106,111, 116,120,125,128,132,134,137,136,136,134,130,126,119,114,105, 97, 90, 82, 75, 69, 63, 58, 52, 50, 47, 47, 46, 48, 49, 52, 55, 60, 65, 70, 76, 81, 87, 91, 97,101,107,111,113,117,117,120,120,121, 120,120,118,116,115,113,112,110,109,108,107,107,107,108,108,110,111,114,116,120,125,128,135,138, 144,147,152,155,158,159,161,162,161,160,158,155,150,147,142,139,134,130,128,124,124,122,121,123, 125,126,132,136,144,150,159,166,176,182,190,196,202,207,210,214,215,216,215,215,211,208,202,198, 191,187,179,175,167,163,156,151,144,141,136,133,129,126,123,121,120,118,120,119,121,123,124,128, 130,134,135,138,140,141,143,143,144,143,143,142,140,139,137,136,133,133,130,129,127,128,126,126, 128,128,131,132,136,140,143,148,153,158,163,167,171,173,175,175,173,171,166,161,154,148,140,134, 127,120,114,108,104, 99, 97, 96, 94, 95, 95, 96, 97,100,102,106,110,112,117,121,127,132,135,141, 144,149,151,155,156,158,158,157,156,153,150,146,143,138,133,128,122,118,113,110,105,103, 99, 97, 94, 93, 93, 90, 91, 89, 91, 91, 91, 93, 93, 95, 96, 97, 97, 98, 96, 96, 94, 91, 89, 85, 82, 78, 75, 71, 68, 64, 64, 62, 63, 62, 65, 66, 70, 72, 78, 83, 88, 95,101,108,114,121,127,130,134,135, 138,137,138,135,134,131,126,121,117,111,105, 99, 93, 87, 83, 78, 75, 70, 67, 63, 62, 61, 60, 62, 64, 65, 70, 74, 78, 84, 91, 97,103,111,117,125,130,137,141,146,148,152,155,156,158,159,159,159, 158,156,155,152,151,149,146,146,145,146,147,147,151,153,157,160,165,168,172,174,178,178,180,180, 180,178,175,172,168,163,160,154,149,144,139,136,132,131,128,128,127,128,128,130,131,135,137,141, 144,149,153,159,164,169,173,177,181,183,187,187,188,187,186,184,182,178,175,170,165,161,155,152, 145,142,136,132,128,122,119,114,112,108,108,107,106,108,109,113,116,120,124,129,133,139,142,145, 146,149,149,150,149,146,144,141,139,136,135,134,132,133,132,134,134,137,138,142,144,146,150,151, 155,157,159,161,161,162,161,161,159,158,155,151,148,144,140,135,130,124,119,113,107,101, 97, 91, 88, 84, 81, 80, 78, 78, 78, 79, 81, 82, 87, 90, 96, 99,103,108,112,117,120,124,126,130,132,133, 135,135,135,132,131,128,123,120,115,112,106,102, 96, 93, 88, 84, 80, 77, 74, 74, 73, 75, 77, 77, 81, 82, 86, 88, 91, 95, 96, 98,100, 99,101, 99,100, 99, 96, 96, 93, 93, 92, 90, 90, 89, 88, 89, 89, 89, 92, 93, 94, 97, 99,103,106,110,114,119,122,128,132,136,140,143,145,146,146,146,147,145, 145,144,141,139,136,133,129,126,123,119,116,111,109,105,104,102,100,102,103,106,109,114,119,126, 132,139,145,153,158,164,170,174,179,182,183,185,184,184,181,180,177,175,171,170,167,165,163,160, 159,156,156,153,154,153,153,151,153,151,153,153,153,153,151,151,148,148,146,143,141,137,135,131, 126,124,119,117,114,111,110,109,109,108,110,111,111,113,115,116,120,121,125,127,132,136,141,145, 149,154,157,162,167,170,173,176,176,178,176,174,172,167,163,158,152,146,140,135,129,126,121,118, 114,113,111,111,111,112,113,116,120,121,126,128,129,132,133,136,136,139,139,141,141,142,141,141, 139,139,136,136,135,134,132,132,130,129,127,127,126,127,127,126,128,127,130,130,130,132,131,131, 130,130,127,127,124,122,118,115,111,107,104, 99, 95, 90, 87, 82, 79, 75, 72, 68, 67, 65, 62, 63, 61, 62, 64, 65, 68, 72, 77, 83, 89, 95,100,107,111,117,121,127,129,133,133,136,135,136,133,132, 129,125,123,119,118,115,111,108,104,102, 98, 96, 93, 91, 89, 89, 88, 89, 89, 91, 91, 93, 94, 95, 97, 97, 99, 99,101,101,103,103,105,105,107,108,111,113,117,118,122,123,127,129,132,134,136,139, 141,144,148,151,154,158,161,165,168,172,174,177,179,180,181,181,181,180,178,174,171,166,161,156, 151,146,142,137,132,129,125,122,121,119,119,119,120,122,124,128,132,136,139,144,148,150,155,158, 160,163,165,166,168,168,168,166,165,162,161,159,158,155,154,152,149,149,147,147,145,145,143,143, 142,142,141,141,140,140,139,138,137,135,135,135,133,135,133,135,134,132,131,129,128,125,124,122, 119,118,115,114,112,112,111,112,113,114,116,121,124,130,135,141,146,152,157,161,165,169,170,172, 172,173,172,169,167,163,160,155,151,146,140,136,129,124,118,114,110,105,102, 98, 95, 94, 93, 91, 93, 93, 96, 99,100,104,106,109,111,113,114,117,118,120,120,120,121,120,120,118,118,116,117,116, 115,114,113,113,112,110,108,107,105,105,105,104,105,104,106,106,107,107,108,108,107,109,107,108, 107,106,103,101, 97, 94, 91, 87, 83, 81, 77, 75, 73, 72, 72, 71, 71, 71, 71, 73, 75, 78, 81, 86, 91, 95,102,107,111,117,120,126,128,133,135,138,139,139,139,138,138,137,134,134,131,130,128,128, 125,125,122,121,119,118,118,117,116,116,116,118,119,120,123,123,127,129,130,134,137,139,143,146, 146,149,149,151,151,152,152,150,151,149,150,148,149,147,148,147,149,149,152,152,156,159,162,166, 168,172,175,177,180,180,182,184,182,183,181,180,177,172,169,163,158,151,145,138,134,127,123,117, 114,110,109,106,106,107,107,110,113,116,119,123,125,130,133,137,139,143,146,150,152,154,157,158, 160,161,162,161,162,160,159,158,155,153,150,147,143,140,136,134,130,128,127,125,127,127,128,130, 131,133,133,135,135,137,137,138,137,136,136,135,132,131,128,124,122,119,118,116,115,112,112,110, 110,109,108,109,110,112,115,117,122,125,130,132,136,138,142,144,146,147,148,148,147,146,142,140, 135,132,126,122,117,113,108,102, 99, 93, 90, 85, 83, 78, 77, 73, 73, 71, 73, 72, 74, 75, 78, 78, 82, 85, 87, 91, 94, 96,100,102,106,108,109,111,110,112,110,112,110,111,111,110,110,110,108,109, 109,108,107,108,108,109,110,112,113,114,117,117,119,121,121,121,120,119,119,118,115,113,108,106, 101, 99, 94, 92, 89, 87, 86, 84, 85, 84, 86, 87, 88, 92, 94, 99,103,109,115,119,125,130,136,141, 147,151,157,160,165,169,171,175,176,178,176,177,175,174,170,168,164,161,156,153,147,144,140,135, 134,131,129,129,130,130,130,133,134,137,139,142,144,147,149,153,154,158,158,161,160,162,161,161, 159,157,155,153,150,148,145,144,141,140,139,139,140,140,143,145,148,150,154,156,159,160,162,162, 164,163,164,164,162,161,159,157,153,151,146,144,140,137,133,131,127,125,121,118,114,112,110,108, 108,107,110,110,114,117,120,125,128,134,138,142,148,152,157,160,163,165,167,167,167,167,165,164, 162,159,155,153,148,145,140,136,131,128,125,122,118,117,114,114,112,113,112,113,113,114,113,116, 115,117,115,117,115,116,113,113,110,108,107,104,103,101, 98, 97, 96, 93, 93, 92, 92, 93, 93, 95, 98, 98,102,105,107,111,112,116,117,121,121,125,126,128,126,128,126,126,122,121,116,113,108,105, 100, 97, 92, 88, 84, 81, 77, 74, 72, 70, 69, 69, 69, 71, 73, 76, 79, 83, 86, 91, 94,100,104,108, 111,116,118,122,124,125,126,125,125,124,124,122,121,119,118,116,114,113,112,112,113,112,114,116, 118,119,123,124,127,128,130,132,132,135,135,138,138,139,139,138,139,137,137,135,134,134,132,131, 129,128,125,124,124,121,122,121,123,123,126,127,132,135,140,144,147,152,154,160,162,167,170,174, 176,179,178,181,179,179,177,176,173,169,166,161,157,150,147,141,136,131,127,123,121,119,118,119, 119,121,123,124,127,129,132,135,138,140,142,144,145,146,147,148,147,147,148,149,149,149,149,148, 148,146,147,145,146,144,145,143,145,145,145,146,148,148,150,151,153,155,155,157,157,159,159,159, 159,157,156,153,151,149,144,142,137,134,131,126,122,119,115,113,111,107,107,106,106,108,108,111, 113,116,120,123,128,131,135,138,142,145,148,150,152,152,152,152,150,149,146,144,139,136,131,127, 123,117,115,109,107,104,101,100, 98, 97, 96, 96, 95, 95, 95, 96, 95, 97, 96, 99, 98,101,101,100, 100, 99, 99, 99, 98, 96, 95, 93, 93, 91, 91, 88, 89, 88, 87, 87, 88, 90, 91, 93, 96, 98,101,104, 107,111,113,118,119,124,127,129,131,133,131,133,131,131,128,127,123,118,115,110,106,100, 97, 92, 87, 83, 81, 78, 78, 77, 79, 80, 81, 85, 89, 92, 97,100,105,109,114,118,123,128,130,135,136,141, 142,146,147,150,150,153,153,152,153,151,151,148,147,144,144,143,142,140,140,139,141,140,141,141, 142,143,143,145,144,147,146,148,147,149,148,150,150,150,149,150,148,147,145,144,142,139,136,134, 132,130,130,128,127,128,130,130,134,136,141,144,147,152,154,159,161,165,166,168,167,169,167,167, 164,163,159,157,153,150,146,142,138,134,131,126,124,119,117,114,112,112,111,111,112,111,113,114, 117,119,120,125,126,130,132,134,137,140,142,143,146,146,148,148,149,148,149,146,147,144,144,142, 140,140,138,138,137,138,137,138,138,137,138,138,139,140,140,141,141,142,141,140,140,139,138,136, 134,132,128,126,122,118,115,110,108,104,102, 99, 97, 97, 98, 96, 99, 99,102,103,106,108,112,115, 118,123,124,129,131,133,135,137,137,139,138,139,137,137,134,132,129,124,122,117,115,111,107,104, 101, 99, 97, 94, 94, 93, 93, 91, 93, 92, 94, 95, 97, 98,100,102,105,108,108,111,111,114,114,116, 117,115,115,113,112,109,109,105,104,101,101, 99,100,100,100,102,103,106,109,112,114,119,121,125, 127,130,130,133,134,134,135,135,135,134,134,134,132,129,128,125,123,120,119,115,115,111,112,109, 111,109,112,112,115,116,120,123,125,129,131,135,138,141,145,147,151,154,155,159,159,163,163,163, 164,163,164,161,161,158,155,153,150,146,144,140,139,137,134,133,132,132,132,132,133,133,135,137, 136,139,139,141,141,140,141,140,140,138,138,135,135,133,131,130,129,126,126,124,125,125,125,127, 129,129,132,134,136,139,141,143,146,149,150,154,154,157,158,160,159,162,160,162,161,159,157,155, 152,150,146,143,139,134,132,127,125,120,119,115,115,112,112,111,112,112,111,113,114,116,116,118, 120,123,125,128,130,132,134,135,136,136,136,134,134,131,131,128,126,122,122,118,118,115,115,114, 113,114,113,114,113,114,114,114,115,116,115,117,116,118,117,119,117,118,116,116,115,112,112,108, 107,104,101, 98, 97, 94, 94, 91, 92, 91, 92, 91, 94, 94, 97, 98,101,104,107,110,113,116,119,122, 126,130,131,136,138,139,141,140,141,140,139,136,134,130,127,123,120,115,111,107,104,101, 99, 96, 97, 96, 97, 98, 99,101,103,105,108,111,113,117,119,122,123,126,127,129,130,131,134,133,135,133, 134,133,134,133,133,131,133,132,134,133,136,137,137,139,139,142,143,143,145,145,146,148,146,148, 148,148,148,147,147,146,145,145,142,141,139,138,136,134,132,130,127,126,123,122,121,120,120,118, 120,120,122,123,126,129,131,136,139,142,146,149,153,155,158,160,160,161,160,160,158,157,155,151, 150,146,145,141,140,136,136,133,131,131,129,129,129,128,128,128,128,128,129,129,131,132,133,135, 134,137,136,138,138,139,139,138,138,138,137,136,135,135,134,133,133,133,133,134,135,135,136,137, 137,139,138,140,139,141,140,143,143,146,146,147,148,149,148,149,147,146,143,141,138,135,131,128, 123,120,117,113,111,107,106,104,103,102,101,102,102,103,104,104,106,108,108,112,112,116,118,120, 123,124,126,125,127,126,125,125,123,122,120,119,116,115,113,110,109,107,107,106,104,104,103,102, 101,100,100, 99, 99, 99,100,100,101,101,103,103,105,105,107,106,108,109,108,109,108,107,106,105, 104,103,101,100,100, 98, 99, 98, 99, 99,101,102,104,107,109,111,115,117,120,123,126,129,131,133, 135,135,137,136,137,135,135,134,132,131,130,126,126,122,122,119,119,117,118,117,118,117,118,118, 119,121,122,125,126,129,129,133,133,137,137,140,140,143,143,145,146,148,148,150,151,150,152,151, 153,152,153,152,152,151,151,150,150,148,148,147,147,147,146,148,147,150,150,150,152,151,152,151, 151,149,149,146,145,141,140,136,135,130,129,127,124,124,122,123,122,123,122,124,124,126,127,130, 131,133,136,139,140,142,145,148,148,151,151,154,154,155,155,155,154,154,152,151,150,148,146,144, 142,141,140,138,138,136,135,134,132,132,130,129,128,127,127,126,126,127,126,128,127,129,128,129, 129,130,129,129,128,128,127,126,126,123,123,121,122,120,121,121,120,121,119,121,120,122,120,122, 122,123,124,125,125,128,127,128,128,127,127,126,126,123,123,120,118,115,113,110,108,104,104,101, 101, 98, 98, 96, 97, 96, 96, 96, 97, 98, 99,101,100,103,104,107,109,110,113,114,117,119,122,122, 125,125,128,127,130,128,130,127,128,125,125,122,121,118,117,114,112,111,109,107,106,106,105,105, 105,107,106,108,107,109,109,110,110,111,110,111,110,111,111,110,111,109,110,108,110,109,111,110, 113,113,115,116,118,121,121,125,127,130,132,135,136,140,141,144,145,146,146,147,145,145,144,143, 142,141,140,138,137,134,134,132,133,132,131,131,130,130,128,129,127,128,127,127,127,127,128,128, 130,132,132,135,137,139,141,141,144,145,146,145,147,146,147,145,146,144,145,144,145,145,144,145, 144,145,144,146,145,147,147,147,148,149,148,150,148,150,149,150,149,149,148,146,146,144,142,142, 139,138,137,133,133,130,131,130,130,129,129,131,130,132,133,134,135,136,138,139,141,143,143,144, 146,147,148,149,148,149,149,149,148,147,148,145,144,141,138,137,134,132,130,127,125,123,119,119, 116,114,113,111,111,110,109,109,109,109,109,110,111,112,114,114,116,115,116,117,117,117,116,115, 116,114,115,113,113,111,112,110,111,110,111,111,112,112,113,115,114,117,117,118,119,119,121,122, 122,122,122,120,120,119,119,117,117,115,115,113,113,112,111,110,109,109,107,107,107,105,105,104, 104,103,104,104,105,105,107,109,109,113,113,117,119,121,122,125,126,129,129,131,131,132,132,133, 132,132,133,131,131,129,130,129,128,126,126,125,124,125,123,124,124,123,124,125,125,126,127,128, 128,128,128,128,128,127,127,125,124,124,124,122,123,122,124,124,126,127,128,130,131,133,134,136, 137,138,139,140,141,141,143,143,145,146,146,148,148,149,149,150,149,149,148,148,146,145,145,142, 140,138,136,135,132,131,130,128,127,126,126,125,126,126,126,128,127,130,130,133,133,136,136,139, 140,142,143,145,145,146,145,146,146,145,146,145,144,144,144,142,143,141,142,142,141,143,142,144, 144,143,144,143,144,145,143,145,144,143,144,144,142,142,140,140,138,137,135,134,133,130,130,127, 125,125,124,122,122,120,121,120,120,120,121,121,121,122,123,124,125,126,128,129,131,132,133,135, 135,136,136,135,135,134,133,130,130,126,125,121,119,118,115,113,110,109,107,106,104,102,102,101, 101,101,101,101,102,104,103,105,106,106,107,107,108,107,109,108,110,109,110,111,111,112,113,114, 115,116,118,117,119,119,119,120,120,119,120,120,119,120,118,120,118,120,119,121,120,121,120,120, 119,118,119,117,118,116,115,114,113,113,112,111,110,109,108,108,108,107,108,107,108,108,109,110, 112,113,115,118,120,123,126,129,132,134,135,138,139,139,141,139,141,138,139,137,138,135,136,135, 133,133,132,133,133,133,132,132,132,132,131,132,131,132,131,133,133,133,135,135,135,136,135,136, 136,136,138,136,137,136,137,135,137,136,135,135,134,134,133,134,134,134,134,135,135,136,136,137, 138,139,140,141,143,145,145,147,147,147,147,147,146,146,145,144,142,141,140,137,136,133,131,130, 128,127,126,125,125,124,125,125,126,127,128,129,131,133,135,137,139,140,142,143,145,146,146,147, 146,147,147,146,146,144,145,142,142,141,139,139,137,137,134,134,133,132,130,130,128,127,125,125, 123,124,123,124,122,123,122,123,122,122,121,121,120,120,119,119,118,118,118,116,117,116,115,115, 114,114,113,114,114,115,116,117,117,119,120,122,124,126,126,129,129,131,132,131,132,131,129,128, 128,125,125,122,122,120,120,118,117,116,116,114,115,114,113,114,112,113,111,112,111,113,112,113, 114,114,115,117,117,117,119,117,119,119,118,118,118,118,117,118,118,117,117,118,118,117,118,117, 118,118,118,118,118,119,117,119,119,120,121,121,123,123,125,127,127,128,129,129,128,128,127,126, 124,123,122,118,118,115,115,114,112,111,112,111,112,113,112,115,115,117,118,120,122,124,126,129, 130,133,134,136,138,138,141,140,142,141,143,143,144,143,143,141,142,139,140,138,137,136,134,134, 132,132,130,130,129,129,129,129,129,129,130,130,132,132,133,134,134,136,136,138,138,139,139,139, 141,140,142,141,141,142,141,141,141,140,141,140,141,141,140,142,141,143,142,145,145,146,147,148, 149,150,149,150,149,149,148,148,146,145,144,141,141,138,138,135,134,131,131,128,128,125,125,123, 123,121,121,120,120,120,120,120,121,122,121,124,123,125,124,126,125,127,127,126,128,127,128,127, 129,127,129,128,129,128,128,126,127,126,124,124,122,123,121,122,120,121,121,121,122,122,123,122, 123,123,122,122,121,121,119,118,116,116,115,113,112,111,110,110,109,110,110,112,111,113,114,116, 115,118,120,122,123,125,126,128,130,132,133,134,134,135,135,135,134,134,133,130,130,127,126,123, 123,121,120,117,117,115,115,113,113,113,111,112,111,110,110,109,110,111,111,112,113,114,116,117, 118,120,120,122,124,124,126,126,127,125,126,124,125,124,124,123,123,122,122,122,120,122,120,121, 122,122,123,124,125,127,126,129,128,130,130,131,131,132,131,131,130,130,129,129,129,127,128,126, 127,127,127,125,124,125,123,124,123,124,123,125,124,126,126,127,129,130,131,132,134,135,137,139, 139,141,142,142,143,144,145,144,144,144,144,143,142,141,141,139,139,136,136,134,133,132,130,131, 129,130,129,131,130,132,132,134,135,135,137,138,138,140,140,141,142,141,142,142,141,141,142,140, 141,140,139,139,139,137,138,137,137,137,135,137,135,137,136,138,136,138,137,138,138,137,137,136, 135,135,133,132,132,129,129,126,127,125,123,123,122,120,120,117,117,116,114,114,113,111,111,112, 111,112,113,113,115,117,119,121,122,125,125,127,128,130,130,131,132,130,131,130,129,129,128,127, 126,126,124,124,124,123,122,122,122,122,121,121,122,123,123,124,125,125,127,128,128,129,129,130, 130,129,130,128,129,126,127,124,125,124,122,122,121,121,121,119,120,119,119,118,119,119,118,120, 118,121,120,120,122,122,123,123,125,125,127,127,127,129,129,128,129,129,128,128,126,125,124,121, 121,117,117,114,113,112,109,110,107,109,108,108,109,110,111,113,113,116,116,119,119,122,123,124, 125,126,127,128,129,130,130,131,132,131,131,131,130,131,131,129,130,129,129,128,129,129,128,130, 129,131,131,130,132,132,131,132,131,131,131,131,130,131,130,131,130,131,130,130,131,129,130,129, 129,129,128,129,128,129,129,129,130,131,132,134,135,137,139,140,142,143,145,146,148,148,150,150, 150,150,150,150,150,148,147,146,145,143,141,140,137,137,135,132,131,129,128,127,126,125,125,125, 125,126,124,126,126,126,125,126,125,126,125,124,125,124,123,124,123,123,122,123,122,123,122,123, 123,123,122,123,121,122,121,122,121,123,122,124,124,124,125,125,127,126,128,127,129,128,130,128, 129,129,128,127,127,124,124,121,121,119,119,118,115,116,114,113,113,113,114,114,115,116,118,119, 121,122,125,127,128,131,132,134,134,135,137,136,138,136,138,135,136,133,133,130,130,129,127,125, 125,123,123,122,119,120,118,119,119,119,117,119,117,119,118,119,119,119,118,120,120,121,121,122, 123,122,124,123,124,124,124,123,124,122,123,122,120,121,119,120,118,119,120,120,121,123,122,124, 124,126,126,128,129,129,128,129,130,128,130,128,129,128,129,128,126,125,126,124,125,123,124,122, 122,121,122,121,122,122,124,124,126,126,128,128,131,132,132,134,134,135,136,137,137,138,138,140, 141,140,141,140,142,141,142,141,142,141,140,140,139,139,137,138,136,137,135,136,136,135,136,135, 135,137,136,137,137,138,139,139,138,139,140,138,139,137,138,138,137,136,136,134,134,133,131,132, 129,130,129,128,129,129,129,130,130,132,131,133,133,134,134,133,135,133,134,132,133,131,131,129, 129,126,125,123,123,121,120,119,117,117,115,115,113,114,111,113,111,112,112,113,112,114,113,115, 115,117,117,119,120,122,124,124,126,125,128,126,128,127,128,126,127,125,126,124,124,123,122,121, 121,120,120,121,120,122,122,123,124,125,125,127,127,129,131,130,133,132,134,133,133,132,131,130, 129,128,127,124,124,121,121,120,117,118,116,118,116,118,118,118,120,120,122,123,123,125,125,127, 127,129,129,130,130,131,132,131,132,131,132,130,131,130,128,128,125,125,123,120,119,116,115,113, 112,112,110,110,110,110,111,111,112,112,115,114,117,117,120,119,122,122,124,124,124,125,125,126, 125,126,125,125,124,124,122,123,122,122,122,123,122,124,124,127,128,129,131,132,135,135,138,138, 141,140,143,143,143,143,143,142,143,141,140,140,138,138,137,134,134,133,130,130,127,128,127,126, 126,126,127,128,127,130,131,132,134,135,138,138,142,143,147,146,150,149,152,152,153,153,153,153, 152,152,150,150,147,146,144,143,139,139,136,136,134,134,131,132,130,132,131,132,131,133,133,134, 135,134,135,134,133,133,132,131,129,129,127,126,123,123,120,120,117,117,114,115,112,114,113,114, 112,114,112,114,114,115,115,117,118,118,121,121,124,124,126,125,128,126,128,127,128,127,126,125, 123,122,121,119,118,115,114,113,112,111,110,109,109,109,108,110,109,111,112,114,116,118,120,122, 124,126,129,129,133,133,134,135,136,134,135,133,133,131,130,128,127,126,123,124,121,123,120,122, 121,121,120,122,120,122,121,123,124,123,125,124,126,125,125,126,126,125,126,125,124,125,123,123, 122,120,119,117,116,115,114,114,111,113,111,111,111,112,112,114,115,115,118,119,122,123,125,127, 128,129,130,131,132,132,133,131,132,130,130,128,127,125,123,122,121,119,118,118,117,117,116,118, 117,119,119,121,121,123,124,126,127,127,130,129,132,131,133,132,135,134,135,135,135,135,134,134, 133,133,132,132,132,132,132,132,132,133,133,134,134,136,136,138,138,140,141,142,143,144,144,145, 146,146,148,147,149,147,149,148,148,146,146,145,143,144,141,142,140,139,138,137,137,136,136,137, 135,138,137,139,139,141,142,143,143,144,144,145,145,143,144,141,142,140,141,140,139,140,138,139, 138,138,137,136,136,135,135,135,135,135,133,134,134,135,135,136,137,139,139,139,142,141,143,143, 143,143,142,141,140,139,136,134,131,129,126,122,120,117,116,114,113,112,111,110,109,109,109,109, 112,113,117,119,123,125,129,129,133,132,136,135,138,137,139,135,135,131,127,124,119,116,111,108, 102,100, 94, 92, 87, 87, 83, 82, 81, 80, 81, 81, 83, 85, 86, 90, 93, 95, 99,102,106,109,113,115, 119,119,122,121,122,121,119,119,116,115,111,111,106,106,103,101, 99, 98, 94, 94, 91, 92, 91, 92, 92, 93, 95, 94, 97, 97,100, 99,103,104,106,108,109,111,112,111,113,111,112,110,109,108,106,105, 103,102, 99,101, 99,100, 98,100, 99,102,102,105,108,109,113,115,120,122,128,130,136,138,144,145, 150,150,153,152,154,152,153,151,150,147,146,144,140,140,137,136,136,136,137,139,141,145,147,152, 155,159,161,165,167,170,172,173,175,176,177,178,178,179,178,178,176,176,173,172,168,165,161,157, 154,151,146,143,139,136,133,130,129,128,126,127,126,128,129,131,133,135,139,139,143,143,146,144, 146,144,144,142,141,138,137,134,132,129,127,125,123,123,120,120,119,119,121,122,125,128,132,137, 140,145,149,155,159,163,169,171,176,177,178,178,177,176,173,172,170,169,167,166,164,162,159,158, 153,153,149,149,146,146,144,144,143,143,142,141,141,141,142,141,144,143,146,144,147,147,148,148, 148,148,147,145,143,140,136,132,127,122,117,112,107,102, 97, 93, 89, 86, 83, 80, 79, 77, 75, 76, 76, 78, 79, 81, 84, 87, 90, 92, 95, 96, 98, 98, 99, 98, 97, 95, 94, 91, 89, 87, 84, 83, 79, 77, 75, 75, 73, 74, 72, 74, 72, 74, 73, 75, 76, 77, 78, 79, 80, 82, 83, 85, 87, 88, 89, 91, 93, 95, 97, 97,100,101,103,104,105,107,106,107,106,107,105,106,104,104,103,102,102,101,102,103,104,105, 108,108,114,115,119,122,126,129,132,134,136,138,139,139,138,139,136,136,132,131,126,126,121,122, 120,120,121,123,123,128,132,138,143,149,155,161,166,172,177,181,186,189,194,194,197,197,197,197, 195,195,192,192,188,188,183,182,177,176,170,169,164,162,158,155,153,150,148,146,144,144,143,143, 143,144,145,145,145,145,146,144,143,142,140,139,136,135,132,131,126,125,119,119,114,114,109,109, 105,106,103,102,101,100,102,102,106,108,114,116,123,126,130,133,136,138,140,142,143,142,143,142, 142,140,139,138,137,135,134,135,132,134,133,135,135,138,139,142,144,147,149,152,154,155,159,158, 163,162,166,165,169,170,171,172,173,172,174,172,172,171,168,166,161,159,154,150,144,140,135,129, 124,119,114,109,106,102,100, 96, 96, 93, 94, 92, 94, 93, 96, 96, 97, 98,100,100,102,101,102,100, 100, 98, 97, 95, 93, 90, 88, 86, 83, 82, 80, 79, 79, 78, 78, 78, 78, 80, 80, 82, 83, 82, 84, 83, 85, 83, 85, 84, 84, 84, 83, 84, 83, 83, 85, 85, 86, 87, 88, 90, 90, 92, 92, 95, 94, 97, 96, 98, 98, 98, 99,100,101,101,102,101,104,103,106,107,110,110,115,115,119,119,123,125,126,129,129,130, 129,129,127,125,120,119,114,112,108,107,104,104,102,104,104,107,109,113,118,122,128,133,139,144, 150,152,158,160,164,165,168,169,171,172,173,173,174,174,175,175,175,176,176,176,176,175,174,173, 173,172,170,170,170,170,169,169,170,167,169,166,168,166,165,165,164,161,161,157,154,151,147,143, 140,136,133,131,127,125,121,118,115,111,109,106,104,102,102,100,101,100,103,104,108,111,114,117, 120,124,126,129,130,132,132,134,133,134,133,131,130,130,127,128,125,127,125,127,127,130,131,132, 135,136,139,140,142,144,146,145,147,146,148,147,149,148,150,149,151,152,151,153,153,155,154,156, 155,157,155,156,155,153,152,150,149,146,144,140,139,136,133,129,129,125,125,122,124,122,123,123, 124,124,125,125,125,125,124,123,122,120,118,115,113,110,106,103,100, 97, 95, 93, 91, 90, 88, 89, 88, 89, 89, 90, 90, 91, 92, 93, 95, 93, 95, 92, 93, 90, 90, 89, 88, 86, 85, 85, 82, 84, 81, 84, 82, 85, 85, 87, 88, 90, 92, 96, 96,100,100,103,104,106,107,109,110,109,112,110,112,110,113,111, 114,114,117,118,121,122,124,125,126,126,126,126,123,123,120,120,116,116,113,111,111,110,112,112, 115,117,122,124,131,134,141,144,151,153,160,162,167,168,172,173,173,175,175,177,178,178,180,180, 181,181,181,181,181,181,181,181,182,181,181,179,179,177,178,176,177,175,177,175,176,174,175,173, 172,171,168,167,164,163,160,159,155,155,151,151,147,147,144,143,139,138,134,133,129,126,123,120, 118,116,114,113,112,112,113,113,113,115,115,117,118,119,119,120,119,119,117,117,114,114,110,110, 106,106,105,104,105,105,107,108,111,112,115,118,121,124,127,129,132,131,135,134,136,136,136,137, 138,138,137,139,139,141,141,144,145,147,147,151,152,155,156,157,159,159,160,159,160,157,157,154, 153,149,148,143,142,137,137,132,132,128,128,126,125,124,123,122,121,121,117,118,114,114,110,110, 107,105,104,101,100, 98, 97, 96, 95, 93, 94, 94, 94, 94, 94, 94, 94, 94, 94, 91, 91, 89, 86, 85, 81, 80, 76, 75, 71, 70, 67, 66, 64, 64, 62, 63, 63, 64, 64, 66, 67, 70, 72, 76, 78, 81, 83, 83, 86, 85, 86, 87, 86, 86, 85, 85, 85, 86, 86, 88, 89, 91, 92, 96, 99,101,104,107,107,110,110,112, 112,112,112,112,112,111,112,110,112,112,115,116,121,123,128,129,134,136,139,141,143,146,148,151, 152,155,155,158,158,161,160,164,165,167,170,172,175,178,179,181,182,183,186,185,188,187,189,188, 189,188,188,188,187,187,185,185,182,181,178,176,172,170,168,165,163,161,159,157,156,155,154,153, 153,151,151,149,147,145,144,141,140,137,135,133,131,129,128,125,125,122,123,122,123,123,122,124, 124,123,123,122,120,120,117,118,115,115,114,114,113,115,115,117,119,121,125,127,130,131,135,135, 138,138,139,138,138,137,136,133,133,130,129,127,125,125,121,122,121,121,122,122,124,126,129,130, 134,135,140,141,145,145,147,148,148,148,147,144,143,139,138,133,132,129,126,125,122,122,120,120, 119,118,118,117,117,117,115,116,114,114,112,112,110,110,110,108,109,108,107,107,106,106,105,106, 105,105,103,103,101,100, 97, 96, 93, 93, 89, 89, 85, 85, 81, 81, 78, 78, 76, 75, 75, 75, 76, 78, 80, 81, 84, 86, 90, 91, 95, 97, 99,101,101,100,101, 98, 97, 94, 93, 90, 90, 88, 88, 86, 86, 85, 86, 87, 89, 91, 94, 98, 99,102,104,104,106,106,106,106,106,107,108,107,109,108,110,112,113,115, 117,120,122,125,127,130,132,135,136,137,139,140,143,144,146,149,150,155,157,161,164,168,171,175, 178,180,183,184,186,187,188,188,189,189,188,188,187,187,185,185,183,181,179,177,173,172,168,168, 166,164,163,163,163,164,162,165,164,166,165,167,167,166,168,166,166,163,162,159,156,153,150,148, 146,142,141,140,138,138,136,137,136,136,135,135,134,134,133,132,131,130,128,128,126,128,127,128, 128,130,132,132,136,135,139,138,142,142,142,143,143,143,141,141,139,138,136,135,132,130,128,127, 125,124,123,123,123,124,125,128,130,134,137,141,145,147,151,151,155,155,156,155,155,152,151,147, 145,140,138,135,130,128,124,123,119,119,116,115,114,113,112,113,111,112,111,112,111,111,109,109, 108,108,108,108,108,107,106,105,104,103,101,101, 99, 98, 97, 95, 93, 91, 89, 87, 84, 83, 79, 79, 76, 74, 72, 71, 69, 67, 68, 67, 68, 69, 72, 74, 78, 80, 83, 86, 87, 89, 92, 93, 93, 94, 93, 94, 92, 90, 87, 85, 82, 80, 78, 77, 76, 76, 77, 78, 81, 83, 86, 89, 91, 95, 97,101,103,105,107,108, 110,111,111,112,112,113,113,114,115,117,117,120,121,123,124,126,127,128,129,131,131,132,134,135, 138,141,144,148,151,155,158,163,166,170,173,176,178,180,182,183,185,184,186,185,187,186,185,185, 183,183,180,180,177,175,173,171,169,167,166,166,163,165,163,165,166,167,167,170,170,172,172,173, 172,171,170,168,165,162,159,156,152,149,144,142,138,137,134,132,131,130,129,128,127,127,126,127, 125,127,125,127,127,126,128,127,129,130,132,134,135,137,140,141,143,144,146,145,147,145,146,144, 144,143,141,139,137,134,131,129,126,124,122,121,120,120,120,120,122,123,128,129,135,137,143,146, 149,152,156,155,158,156,157,156,153,151,147,145,140,137,132,129,123,122,117,117,113,114,111,112, 110,111,111,110,112,111,113,112,114,113,112,112,111,111,110,109,107,106,104,102, 98, 96, 93, 89, 87, 85, 82, 80, 77, 75, 73, 71, 68, 67, 64, 62, 62, 62, 61, 62, 62, 63, 64, 67, 70, 72, 75, 78, 82, 85, 89, 92, 94, 94, 96, 95, 95, 93, 92, 89, 86, 85, 81, 80, 77, 75, 74, 73, 74, 74, 75, 79, 81, 85, 88, 91, 96, 98,103,104,108,108,111,111,114,113,116,115,117,118,119,119,121,121,123,123, 125,126,124,126,125,127,126,127,129,132,133,137,139,144,148,151,157,160,165,167,173,174,179,179, 184,183,187,186,188,188,188,186,186,184,184,182,180,178,175,172,169,168,164,163,160,159,158,158, 158,160,160,163,165,166,169,171,172,173,174,174,174,171,171,167,165,161,159,155,151,149,144,143, 138,137,133,134,130,131,128,130,127,129,127,128,126,127,126,127,127,128,130,130,131,132,134,135, 137,136,139,139,141,141,143,142,143,142,142,141,139,139,137,137,133,134,131,130,128,128,127,128, 129,130,131,134,136,138,142,145,149,151,156,157,161,161,164,162,163,160,159,156,153,150,145,143, 137,135,129,127,122,121,119,118,117,116,117,116,116,115,116,115,117,115,118,117,119,118,117,117, 115,114,112,111,109,107,103,102, 98, 97, 93, 93, 89, 87, 85, 83, 81, 79, 77, 77, 74, 75, 72, 72, 70, 71, 71, 70, 72, 73, 75, 77, 79, 82, 84, 87, 89, 92, 93, 95, 95, 96, 94, 94, 92, 90, 86, 85, 80, 80, 76, 75, 74, 74, 74, 75, 78, 80, 84, 86, 91, 93, 99,101,105,108,110,112,113,114,115,116, 117,117,118,118,118,119,118,119,117,118,116,117,114,115,115,114,116,116,119,120,122,126,129,133, 136,141,146,148,154,157,161,164,167,170,172,174,176,177,178,178,179,178,178,177,176,176,173,173, 170,168,166,165,161,161,158,159,158,159,160,160,163,164,168,168,172,174,175,176,177,177,177,174, 174,170,168,163,160,156,152,148,144,141,137,136,132,132,129,129,127,128,127,129,129,130,130,131, 132,132,133,134,135,136,138,138,140,139,141,142,142,142,144,143,145,145,144,145,142,143,140,140, 138,136,135,133,133,131,130,128,128,128,128,127,130,130,135,135,140,142,145,148,151,154,157,158, 159,161,160,159,157,154,151,149,145,143,138,137,132,130,128,126,125,124,123,122,122,121,123,122, 124,124,125,125,125,125,126,124,124,123,121,120,117,116,113,110,107,103,100, 98, 93, 92, 87, 87, 83, 83, 80, 78, 77, 75, 73, 71, 70, 69, 67, 67, 66, 67, 67, 69, 70, 72, 74, 77, 79, 82, 84, 87, 89, 90, 90, 92, 90, 91, 87, 88, 83, 83, 79, 79, 75, 76, 74, 75, 77, 77, 81, 82, 86, 90, 94, 98, 102,105,109,109,113,113,116,115,118,118,118,119,119,120,119,119,119,118,117,117,117,116,117,117, 118,118,119,120,123,126,129,132,135,139,143,146,152,154,160,163,166,169,173,174,176,178,178,180, 180,181,179,180,178,179,177,175,174,172,170,167,166,164,161,160,158,158,158,156,158,157,160,160, 164,165,169,170,172,173,173,173,173,171,171,167,165,162,158,155,150,147,141,140,136,135,132,131, 129,128,127,126,126,126,127,128,129,130,131,132,132,133,133,134,133,134,134,134,134,134,133,134, 132,133,131,132,131,130,130,130,129,128,128,126,126,125,125,124,125,125,124,125,126,127,128,130, 132,135,138,141,146,147,152,154,155,158,158,159,158,158,154,154,150,149,144,144,139,138,133,132, 128,128,126,124,125,124,123,124,124,125,125,125,126,126,127,125,126,124,124,121,120,117,115,112, 108,105,101, 98, 95, 92, 89, 87, 85, 84, 82, 82, 81, 80, 79, 77, 77, 75, 76, 74, 73, 73, 72, 72, 72, 72, 72, 73, 73, 75, 76, 78, 78, 80, 80, 82, 81, 82, 80, 80, 77, 77, 73, 72, 69, 68, 65, 66, 64, 66, 68, 69, 73, 74, 80, 82, 87, 89, 94, 96,101,102,106,108,109,112,112,114,114,116,116,115, 115,116,113,115,112,113,112,111,112,112,111,113,115,115,118,120,123,126,131,133,139,141,147,149, 155,156,161,162,167,168,171,172,175,176,177,178,177,177,177,176,176,175,175,174,173,171,170,168, 168,165,166,164,166,164,167,166,169,169,173,173,177,178,181,182,183,182,182,181,178,176,172,169, 165,162,158,155,149,147,142,140,136,136,133,133,132,132,132,133,133,134,134,135,136,137,138,139, 140,140,140,139,139,139,138,138,136,137,135,136,134,136,134,136,134,136,135,137,136,137,137,137, 137,137,136,136,136,135,136,134,137,136,140,141,143,145,147,150,151,154,154,156,156,158,157,156, 156,155,152,152,148,148,145,145,143,141,141,139,140,139,138,139,140,138,141,139,142,141,143,142, 144,142,143,141,139,138,134,133,128,126,121,120,115,112,109,106,103,101, 97, 97, 94, 93, 91, 90, 90, 88, 87, 84, 84, 82, 82, 80, 79, 78, 78, 78, 79, 78, 79, 80, 80, 82, 82, 85, 85, 88, 86, 87, 84, 85, 80, 80, 75, 72, 68, 65, 63, 62, 63, 62, 64, 64, 65, 67, 70, 73, 77, 80, 86, 89, 96, 99, 105,108,110,112,111,114,113,115,111,111,107,105,100, 97, 91, 87, 80, 78, 75, 73, 75, 76, 79, 82, 87, 92,100,106,114,119,130,137,149,157,168,175,184,187,193,196,200,201,202,203,199,198,191,187, 178,172,162,155,145,140,135,130,128,124,124,123,127,129,135,139,145,151,158,166,176,185,194,198, 205,208,212,215,215,216,213,210,203,197,187,177,165,154,139,130,119,113,106,102, 98, 97, 98,101, 105,111,118,123,131,136,146,152,161,166,172,174,177,179,178,179,177,175,170,166,158,152,141,132, 120,109,101, 93, 88, 82, 77, 75, 72, 72, 74, 78, 82, 86, 91, 96,105,113,123,133,142,151,159,166, 171,178,181,186,188,191,190,191,187,183,173,166,155,148,139,132,124,118,110,106,102,101,100,100, 101,102,105,111,118,126,135,142,150,156,162,165,168,168,169,168,167,163,159,152,142,131,119,108, 98, 89, 81, 74, 68, 63, 61, 60, 63, 65, 69, 71, 74, 78, 84, 89, 95, 99,105,108,111,113,115,115, 114,116,114,114,113,111,106,100, 92, 83, 73, 65, 56, 48, 39, 32, 25, 22, 20, 20, 22, 24, 28, 31, 37, 44, 53, 62, 72, 81, 89, 96,105,109,114,117,120,125,127,130,129,127,123,117,110,102, 96, 91, 84, 80, 75, 71, 71, 71, 75, 78, 82, 87, 94,100,108,117,127,135,144,150,159,163,169,171,172,175, 176,179,179,178,175,171,163,159,152,149,143,140,134,131,128,129,130,131,135,136,141,144,151,156, 165,170,179,186,195,201,209,212,216,219,221,224,224,226,224,219,212,204,194,185,173,164,151,142, 131,125,118,116,112,111,111,111,115,118,125,129,136,141,150,155,163,166,171,173,174,174,176,176, 175,173,168,163,153,148,139,132,122,115,107,103, 98, 97, 96, 96, 97, 99,102,107,112,118,124,131, 137,144,151,157,161,166,168,172,173,178,181,182,182,181,175,172,165,160,151,144,134,128,121,117, 113,111,108,107,106,108,111,115,120,124,132,138,148,154,163,169,174,179,182,186,189,192,191,190, 184,179,171,163,152,141,128,116,103, 94, 85, 79, 73, 67, 65, 63, 65, 66, 72, 75, 81, 87, 93,100, 106,111,115,116,117,118,119,121,121,121,116,115,109,107, 99, 94, 84, 77, 67, 61, 53, 48, 44, 38, 35, 32, 30, 30, 31, 35, 38, 43, 50, 56, 65, 72, 80, 85, 91, 94,101,105,110,113,116,117,117,116, 113,111,104,100, 92, 85, 79, 73, 68, 64, 59, 58, 56, 56, 59, 61, 65, 70, 75, 82, 91, 98,108,115, 123,129,136,142,148,155,159,164,166,167,168,168,167,164,160,155,152,148,147,145,144,143,142,143, 144,146,149,149,153,156,160,164,169,173,177,178,181,182,186,188,191,191,192,193,191,192,188,186, 180,174,165,160,151,147,139,135,129,127,123,123,123,124,126,127,133,136,144,149,157,161,167,171, 177,181,186,188,190,189,188,186,183,179,169,162,151,140,130,121,113,105, 99, 94, 89, 88, 88, 89, 91, 94, 99,102,111,116,124,127,133,136,139,143,146,149,149,150,151,152,152,153,150,149,144,141, 134,131,126,123,119,118,117,115,118,120,123,125,129,132,139,143,151,155,162,164,169,171,176,177, 179,178,178,176,175,173,171,166,159,152,142,134,123,115,105, 95, 88, 79, 75, 70, 69, 66, 68, 68, 74, 81, 89, 98,107,114,122,127,134,139,141,145,144,145,143,142,140,136,132,126,119,112,104, 97, 87, 80, 70, 64, 56, 52, 46, 42, 41, 37, 38, 39, 41, 46, 50, 55, 61, 65, 72, 78, 83, 89, 92, 96, 99,100,103,103,105,103,102, 99, 96, 92, 86, 82, 77, 71, 67, 63, 62, 59, 60, 59, 61, 62, 68, 73, 82, 87, 97,103,113,119,130,135,144,147,154,156,161,162,165,164,163,160,154,150,142,137,128,122, 113,108,103, 99, 99, 96, 98, 97,103,106,115,122,131,138,148,157,168,176,184,190,195,200,203,208, 209,212,212,212,208,207,202,199,193,186,179,171,165,158,154,149,143,139,137,136,137,137,140,143, 146,151,156,161,166,171,174,178,180,183,184,185,186,184,181,177,171,165,157,149,137,128,117,109, 101, 93, 87, 83, 79, 79, 80, 84, 91, 97,105,115,125,135,147,156,166,172,180,184,189,192,195,196, 196,193,190,185,179,171,162,152,142,133,123,116,108,102, 96, 92, 89, 89, 90, 93, 96,101,108,114, 123,129,138,143,151,156,161,167,171,177,179,182,183,183,182,180,177,173,165,161,153,147,140,130, 123,114,109,103,100, 96, 97, 96, 99,100,106,111,117,123,128,133,137,141,144,146,146,145,141,138, 133,128,118,111, 98, 89, 76, 68, 56, 49, 40, 33, 26, 22, 19, 18, 18, 21, 24, 30, 36, 44, 52, 62, 70, 79, 86, 94,101,109,115,121,125,128,130,131,130,127,123,117,110,102, 95, 87, 78, 71, 62, 55, 49, 44, 40, 39, 38, 39, 42, 46, 52, 57, 66, 71, 79, 86, 93, 99,108,113,120,126,131,135,139,141, 142,141,137,135,130,128,124,119,116,111,110,107,109,108,113,115,122,128,137,145,157,164,175,181, 189,197,202,208,210,214,214,215,213,213,208,205,198,191,183,176,168,161,151,145,136,130,124,121, 118,116,115,116,118,122,130,134,142,148,153,161,166,173,178,184,187,193,195,200,201,202,200,197, 193,188,182,175,167,158,149,139,130,120,114,106,101, 97, 93, 94, 96, 98,105,109,114,120,125,132, 137,142,145,150,152,156,157,157,156,153,150,145,140,135,129,122,116,110,103, 99, 95, 93, 91, 92, 93, 97,103,108,118,124,134,140,151,159,167,173,178,184,186,190,191,193,191,191,186,182,176,171, 162,156,147,139,129,122,114,106, 99, 93, 87, 83, 80, 80, 81, 83, 87, 91, 97,104,110,117,123,130, 135,141,146,151,155,156,157,155,151,148,141,137,129,121,113,104, 97, 89, 84, 76, 72, 67, 66, 63, 66, 67, 71, 72, 78, 80, 86, 88, 92, 94, 97,100,100,103,103,105,104,104,100, 98, 93, 90, 84, 79, 71, 66, 59, 55, 51, 46, 44, 41, 40, 40, 44, 47, 54, 60, 67, 75, 82, 91, 99,105,114,119,127,132, 139,144,150,153,155,156,155,155,152,147,142,134,128,120,112,105, 97, 90, 84, 78, 76, 74, 77, 79, 84, 90, 98,106,116,123,134,141,151,159,166,174,180,186,190,194,194,197,195,196,192,188,183,179, 173,170,165,160,156,152,151,149,151,153,156,161,166,172,178,183,189,192,197,198,201,202,204,204, 204,202,199,196,192,188,181,176,166,160,150,142,132,124,113,105, 96, 89, 83, 79, 78, 78, 80, 84, 88, 95,104,110,120,127,137,145,155,163,171,178,183,188,190,192,192,190,186,181,174,166,159,149, 140,130,122,113,106, 99, 94, 91, 89, 89, 90, 94, 98,104,110,114,121,125,131,137,141,147,149,153, 154,157,155,156,153,149,145,141,137,132,127,121,117,112,108,104,102,100,101,101,105,107,112,117, 123,126,133,137,145,149,157,162,168,171,175,176,178,178,173,170,162,156,146,138,125,115,102, 91, 78, 68, 56, 48, 40, 36, 31, 30, 30, 33, 36, 41, 45, 50, 56, 63, 71, 78, 85, 91, 97,103,108,112, 115,117,117,117,115,113,108,105,100, 93, 88, 81, 75, 70, 65, 62, 59, 59, 59, 61, 64, 68, 71, 75, 78, 82, 86, 89, 95, 97,102,103,107,108,110,111,109,109,106,105,101, 96, 93, 88, 84, 78, 74, 69, 67, 63, 63, 61, 65, 67, 75, 82, 90,100,110,121,132,143,157,167,180,189,201,209,218,223,228,231, 230,231,226,223,217,210,202,192,182,172,163,153,145,137,132,127,127,125,129,130,134,138,143,148, 155,160,167,171,177,181,184,188,189,192,192,194,191,192,189,186,184,180,176,172,166,162,156,153, 147,145,141,141,141,143,144,147,149,153,156,160,163,167,169,173,175,178,179,181,181,179,177,172, 168,163,154,147,137,129,118,110,101, 91, 84, 77, 70, 68, 66, 68, 70, 74, 79, 86, 95,102,113,122, 133,143,153,161,172,179,186,192,194,198,197,198,196,192,187,180,173,165,158,150,140,133,125,119, 114,111,107,106,105,104,104,105,106,108,109,112,115,117,121,124,127,131,132,134,136,136,136,134, 132,129,123,117,111,104, 97, 88, 82, 75, 71, 67, 66, 65, 65, 68, 72, 75, 82, 87, 94,100,107,111, 119,123,129,133,136,137,138,138,136,132,128,121,113,104, 94, 84, 71, 61, 48, 37, 27, 18, 12, 6, 5, 3, 6, 8, 13, 18, 26, 33, 43, 51, 60, 70, 79, 90, 98,108,115,121,128,132,137,140,141,141, 140,138,135,130,124,119,111,106,100, 95, 91, 89, 86, 86, 86, 87, 89, 93, 97,102,107,112,119,124, 132,138,143,149,153,158,161,163,164,163,163,160,155,152,145,140,133,128,122,116,114,112,111,113, 116,121,127,136,144,154,164,174,184,195,205,215,222,230,234,239,240,242,239,238,232,229,222,214, 206,196,186,174,162,151,140,131,122,115,110,105,103,101,101,102,102,106,108,113,117,124,129,136, 141,148,153,160,165,169,172,174,176,177,174,174,168,165,158,153,147,141,137,133,128,126,124,122, 124,125,126,129,132,136,140,146,151,154,161,164,169,171,174,174,174,172,169,164,159,153,144,137, 126,117,106, 99, 92, 85, 82, 78, 78, 78, 80, 84, 89, 92,100,105,114,120,129,135,145,151,160,166, 173,179,184,187,190,190,191,189,186,182,173,166,155,146,135,123,113,102, 94, 85, 77, 73, 67, 64, 61, 60, 59, 61, 62, 65, 67, 71, 74, 80, 83, 88, 91, 96, 97,101,101,104,104,103,101, 97, 92, 86, 81, 74, 69, 64, 58, 56, 53, 53, 53, 55, 57, 62, 67, 71, 78, 83, 91, 97,102,109,115,118,123,125, 128,129,127,127,124,120,116,109,103, 94, 86, 77, 70, 60, 54, 46, 42, 36, 35, 32, 34, 34, 39, 41, 49, 53, 63, 70, 80, 89,101,111,124,134,146,156,167,175,184,190,197,202,204,204,204,201,198,192, 187,180,174,167,163,157,154,150,147,146,144,144,144,147,150,152,158,161,167,170,175,178,181,183, 183,185,184,184,182,179,175,170,165,159,154,148,142,139,137,134,134,133,136,137,142,145,150,153, 159,164,168,174,178,184,187,192,194,196,196,198,196,197,193,190,184,179,170,163,152,143,131,122, 112,103, 96, 89, 82, 78, 74, 73, 71, 72, 74, 75, 80, 83, 90, 96,105,113,121,130,137,146,154,160, 168,172,177,178,179,178,176,172,167,163,156,152,147,144,141,140,138,139,139,141,143,145,148,149, 152,153,157,157,160,159,161,160,158,158,155,154,150,148,142,139,131,126,117,111,102, 96, 88, 83, 79, 74, 72, 71, 70, 72, 74, 76, 82, 86, 93, 98,106,112,120,127,133,138,144,148,152,155,155,158, 156,156,150,147,140,131,123,112,102, 91, 81, 71, 61, 53, 45, 40, 35, 32, 29, 28, 27, 28, 30, 34, 38, 45, 49, 56, 62, 69, 74, 80, 84, 89, 93, 96, 99,100,100, 99, 98, 95, 93, 90, 88, 86, 84, 84, 83, 85, 86, 89, 93, 93, 98, 99,105,108,112,118,123,126,130,134,136,140,142,143,144,146,146,144, 143,140,137,132,127,121,115,110,104,100, 97, 93, 91, 90, 90, 91, 93, 96,101,105,113,120,130,140, 149,161,171,182,192,201,209,215,222,226,230,232,230,229,223,220,212,204,197,188,181,174,167,162, 157,154,151,147,146,143,144,142,144,143,145,145,147,148,150,151,150,152,151,151,151,151,150,147, 145,142,137,134,128,125,120,118,116,114,115,115,118,119,123,125,130,133,137,142,145,151,154,160, 163,168,172,174,178,179,182,182,183,181,179,175,168,161,153,143,133,123,113,105, 96, 91, 85, 82, 79, 79, 79, 82, 84, 89, 93,100,107,114,120,128,135,142,148,153,159,163,168,171,175,177,177,177, 175,171,168,162,159,152,149,143,140,135,132,130,127,126,125,122,122,120,121,121,121,122,122,121, 121,119,119,117,115,115,111,110,106,103, 98, 93, 87, 81, 75, 68, 62, 57, 52, 50, 47, 46, 45, 47, 48, 50, 53, 56, 63, 68, 76, 82, 91, 98,106,113,120,126,131,137,141,144,145,144,143,139,134,127, 120,112,101, 93, 83, 76, 68, 62, 56, 52, 48, 46, 45, 44, 45, 46, 49, 51, 56, 59, 65, 70, 75, 81, 85, 93, 97,104,108,114,117,123,125,129,129,131,132,132,134,134,134,136,137,140,141,144,145,147, 149,151,153,157,159,164,166,171,173,177,179,183,185,186,189,190,188,189,186,183,179,172,166,158, 149,142,133,127,121,117,114,112,110,112,113,114,119,123,130,135,144,151,158,166,172,180,187,192, 198,201,205,207,209,209,208,206,200,196,189,181,174,166,157,151,145,138,134,128,126,123,119,118, 116,116,115,116,116,117,118,118,120,120,123,124,127,129,132,134,137,138,140,139,139,136,135,131, 129,125,124,122,121,121,121,123,124,127,129,134,139,145,151,157,162,169,173,179,182,186,187,190, 189,190,187,186,181,175,169,162,152,142,133,123,115,106,100, 93, 87, 83, 80, 78, 77, 75, 78, 79, 84, 87, 92, 97,103,109,115,120,126,131,136,142,145,150,151,154,152,152,148,146,141,135,130,124, 119,113,108,104, 98, 94, 89, 86, 81, 80, 77, 76, 73, 73, 71, 72, 71, 73, 74, 74, 76, 77, 79, 80, 82, 82, 83, 83, 81, 77, 75, 70, 67, 62, 58, 54, 52, 49, 50, 49, 52, 52, 56, 60, 64, 70, 76, 83, 89, 96,102,109,115,121,127,132,136,141,142,146,145,147,144,142,136,133,126,119,114,107,103, 97, 95, 92, 89, 87, 87, 85, 88, 87, 91, 92, 97,100,106,111,115,122,127,134,140,148,153,162,167,175, 180,186,189,191,191,192,190,187,185,181,180,177,174,173,170,169,168,168,168,170,172,174,177,179, 181,184,185,188,188,190,189,191,189,188,187,184,180,175,169,162,155,147,136,129,121,114,108,103, 99, 97, 96, 95, 98, 99,105,109,116,121,130,136,143,149,156,162,166,172,175,181,183,187,187,190, 189,188,186,182,175,170,163,157,150,144,136,130,123,118,113,108,105,102,101,100,102,103,105,109, 113,118,122,127,132,136,142,146,150,153,155,156,156,155,151,150,144,142,138,135,131,129,127,124, 124,122,124,125,127,130,133,136,140,144,147,151,154,157,159,162,163,164,162,162,158,157,150,146, 138,129,120,111,100, 92, 82, 74, 66, 60, 54, 49, 47, 43, 43, 43, 43, 45, 48, 52, 56, 62, 66, 72, 77, 85, 90, 98,104,110,116,121,125,129,130,131,129,127,123,117,113,106,101, 94, 89, 84, 79, 73, 71, 67, 66, 63, 64, 63, 65, 64, 67, 69, 70, 73, 77, 80, 82, 86, 89, 91, 94, 95, 96, 96, 93, 92, 87, 85, 80, 78, 75, 74, 72, 73, 73, 75, 78, 83, 88, 94,100,108,116,124,133,140,149,155,163,169, 176,181,187,191,196,199,202,204,203,201,198,194,188,181,173,167,158,151,143,137,130,124,120,116, 113,113,114,114,118,119,125,129,135,142,148,156,162,170,177,183,190,196,199,202,204,204,203,201, 196,192,188,182,176,170,164,160,154,151,147,144,144,142,144,144,147,147,150,151,154,155,156,158, 157,158,157,158,156,155,152,148,144,139,134,129,124,118,114,110,105,102, 98, 97, 96, 96, 96, 99, 101,105,109,115,121,126,134,141,150,156,165,172,181,187,193,197,202,203,204,202,200,195,190,183, 176,167,159,149,142,133,124,117,111,104,101, 96, 94, 91, 92, 92, 93, 95, 98,101,105,108,113,117, 122,127,131,134,137,137,138,137,135,132,130,125,122,118,114,109,107,103,100, 99, 98, 99, 98,100, 100,103,103,106,107,110,110,113,113,116,116,118,118,119,118,116,112,110,104,101, 93, 88, 81, 73, 66, 58, 53, 45, 41, 35, 33, 30, 31, 31, 32, 35, 38, 43, 48, 55, 61, 69, 76, 85, 92,102,111,118, 127,134,138,143,144,146,144,143,140,136,130,125,118,113,105,100, 94, 91, 88, 85, 85, 83, 85, 84, 88, 90, 93, 97,100,104,108,113,117,122,127,132,136,140,142,145,145,147,147,147,146,146,144,144, 141,140,138,138,137,138,138,139,142,143,148,150,156,159,165,169,176,181,185,192,197,201,206,209, 210,212,210,209,204,201,195,188,181,172,164,153,145,135,127,119,113,107,101, 99, 96, 96, 95, 98, 100,105,109,115,122,128,136,143,151,156,164,169,172,177,178,180,180,179,177,176,172,169,164,161, 156,154,150,146,144,141,139,136,135,133,133,132,133,132,133,133,136,138,141,142,146,149,152,154, 154,155,152,152,148,146,142,138,133,129,124,119,116,111,109,106,106,105,107,107,111,114,117,122, 127,131,138,143,151,156,164,169,175,180,183,186,185,185,181,179,172,167,158,151,141,132,121,112, 102, 95, 86, 81, 74, 70, 66, 64, 63, 62, 63, 64, 64, 68, 71, 74, 79, 82, 88, 92, 97,102,104,108, 109,112,112,112,110,109,106,104,100, 96, 93, 89, 87, 84, 83, 81, 79, 80, 80, 81, 81, 84, 84, 87, 90, 92, 97, 99,104,106,111,114,117,117,119,118,116,115,110,107,102, 94, 88, 80, 74, 67, 62, 56, 52, 48, 47, 46, 48, 49, 54, 58, 65, 70, 79, 86, 97,105,116,125,136,145,154,162,169,174,179,182, 184,186,185,185,182,179,176,170,166,161,155,151,145,141,137,132,130,127,125,124,123,123,124,126, 127,131,136,139,144,147,153,156,160,163,166,167,170,171,170,169,167,165,162,160,156,154,151,149, 146,146,143,144,143,144,145,148,150,154,157,162,166,172,176,180,185,187,190,190,190,188,184,181, 174,169,162,154,146,138,130,123,114,109,102, 99, 94, 93, 90, 90, 89, 91, 92, 96, 98,103,108,115, 122,128,137,145,152,160,165,172,177,182,185,188,188,187,186,184,180,177,172,168,163,158,154,149, 146,142,137,135,132,129,128,125,125,125,126,126,128,129,133,135,135,138,139,139,140,138,137,135, 130,128,122,119,113,109,103,100, 96, 93, 91, 88, 89, 88, 90, 92, 94, 97,102,105,111,116,120,126, 132,136,141,144,147,149,149,151,148,146,140,136,130,122,115,105, 97, 88, 81, 72, 66, 60, 53, 49, 45, 41, 40, 38, 38, 39, 40, 43, 45, 51, 55, 62, 69, 74, 81, 87, 94, 99,106,109,114,115,118,118, 119,117,116,112,110,106,104,100, 98, 95, 94, 91, 91, 90, 92, 91, 94, 96, 98,103,106,112,117,120, 125,127,132,134,137,137,138,136,135,133,129,127,122,119,114,112,108,106,104,103,101,102,101,104, 105,109,112,117,121,128,135,141,150,156,165,172,180,187,192,199,202,206,208,208,208,206,204,200, 195,191,184,178,171,164,159,151,145,138,134,128,125,120,118,116,114,114,116,118,122,126,129,135, 138,144,147,150,154,155,157,157,157,155,153,151,148,145,142,138,137,134,134,132,133,133,134,136, 137,139,141,144,147,151,155,158,160,164,167,169,172,173,174,174,173,170,168,165,160,155,150,143, 138,131,126,120,116,111,107,104,101,100, 99, 99, 99,101,103,107,110,116,121,128,133,141,147,155, 160,167,171,176,178,181,182,182,182,178,176,171,168,163,158,151,145,139,133,127,123,117,114,109, 107,105,104,103,104,104,104,106,108,109,111,112,114,114,115,115,114,111,110,107,103,100, 95, 92, 88, 84, 79, 78, 74, 74, 72, 73, 72, 73, 73, 77, 79, 84, 87, 92, 96,102,106,112,117,122,126,128, 131,132,134,133,133,131,126,123,118,113,106,100, 92, 86, 78, 71, 66, 59, 55, 50, 46, 43, 43, 42, 45, 46, 51, 55, 62, 69, 76, 85, 93,102,109,117,124,130,134,139,141,144,145,145,147,146,146,143, 143,141,141,140,138,138,136,137,137,137,136,138,139,140,143,144,148,150,153,154,157,159,160,161, 161,160,159,157,155,151,149,145,142,138,135,131,129,126,126,123,122,122,121,123,123,126,127,131, 135,139,145,149,156,163,169,175,180,185,190,193,197,198,196,196,192,190,185,178,172,164,157,149, 143,135,129,123,116,113,107,105,102,102,100,101,103,104,108,110,115,118,121,126,130,134,137,141, 142,145,147,147,149,148,148,147,147,145,145,144,144,142,143,142,143,144,143,145,146,146,149,151, 152,155,158,159,161,162,164,164,166,164,164,161,160,156,154,149,145,139,135,128,123,116,111,106, 100, 97, 92, 88, 87, 86, 84, 85, 86, 89, 92, 97,101,107,113,119,125,131,136,143,146,151,153,156, 157,158,156,155,152,149,144,140,133,129,121,117,109,105, 99, 93, 89, 85, 82, 78, 77, 75, 76, 76, 76, 78, 78, 80, 83, 85, 86, 88, 88, 90, 91, 92, 93, 92, 94, 92, 93, 91, 92, 89, 90, 87, 87, 86, 86, 85, 86, 85, 86, 87, 87, 91, 94, 97,102,106,112,117,124,128,135,138,142,144,147,147,149,148, 145,143,138,134,130,123,120,114,108,105,100, 96, 93, 90, 89, 87, 87, 88, 89, 93, 96,100,105,110, 118,124,132,138,145,150,157,162,165,170,172,175,176,177,176,176,175,174,172,170,167,166,163,162, 159,157,155,152,150,148,146,145,143,144,143,143,144,145,145,146,146,148,148,147,149,147,146,145, 143,141,137,135,131,127,124,120,117,114,113,112,109,110,110,111,114,117,119,125,128,135,140,148, 154,158,165,168,173,175,179,181,181,181,179,178,175,171,166,161,155,150,144,140,135,130,124,121, 117,114,111,109,108,108,107,109,110,114,115,120,122,126,128,132,134,137,141,142,145,145,148,147, 149,149,148,148,148,145,146,144,144,141,140,138,137,136,135,134,134,133,133,134,135,135,137,137, 138,138,136,137,135,135,133,129,128,124,120,117,112,107,101, 97, 91, 88, 82, 80, 76, 72, 70, 68, 68, 68, 67, 70, 71, 76, 78, 84, 89, 94, 99,105,108,113,116,121,124,127,128,130,131,131,130,129, 127,125,122,120,118,115,111,107,103, 99, 95, 91, 87, 84, 79, 77, 74, 74, 73, 73, 73, 74, 76, 77, 81, 84, 86, 90, 92, 95, 97,100,103,103,106,105,107,107,109,110,111,112,114,115,117,119,120,124, 125,129,131,136,139,145,149,152,157,160,163,166,168,171,171,171,170,170,168,166,163,157,154,149, 144,140,135,132,127,125,122,119,118,118,117,117,116,118,119,123,126,129,133,137,139,144,147,153, 156,160,164,167,171,173,177,177,179,177,179,177,177,174,173,169,167,163,161,158,154,149,146,143, 140,139,136,137,135,135,136,135,137,136,136,137,136,137,136,136,135,134,133,129,128,125,124,122, 120,119,118,118,118,117,119,119,121,123,124,127,132,136,141,146,151,155,161,165,169,173,174,177, 178,178,179,178,175,173,169,166,161,157,152,147,142,136,132,127,122,118,114,109,105,101, 99, 98, 98, 97, 99, 99,102,103,107,108,112,114,117,120,124,125,129,130,132,132,134,133,134,133,134,132, 132,130,128,127,124,124,120,119,117,115,114,113,113,114,112,114,113,114,113,113,111,111,109,109, 106,105,101, 98, 94, 91, 86, 83, 80, 75, 74, 70, 69, 68, 67, 67, 67, 65, 66, 67, 69, 70, 73, 75, 79, 82, 87, 91, 96,100,105,109,114,118,124,126,131,132,136,136,136,136,135,134,131,129,125,123, 119,117,112,110,105,103,100, 97, 96, 95, 95, 95, 96, 97,100,102,105,107,110,115,118,122,125,129, 132,134,136,138,139,140,141,140,141,141,140,142,143,143,144,145,145,148,148,152,153,157,159,164, 166,170,172,174,175,176,176,177,177,177,175,174,171,169,166,163,160,154,152,146,143,139,135,132, 127,124,120,117,115,113,112,111,111,113,115,118,121,125,129,133,138,142,148,151,157,159,164,165, 169,169,172,170,172,169,169,166,166,162,161,157,154,151,147,145,140,139,136,134,134,133,133,135, 133,135,134,136,137,137,138,138,137,137,136,136,135,133,131,129,127,126,125,123,124,123,121,121, 120,121,120,122,121,124,125,129,131,136,138,142,144,148,150,153,155,157,158,157,158,156,157,153, 152,148,144,139,135,131,126,121,116,112,107,101, 97, 92, 88, 84, 81, 79, 78, 78, 79, 81, 81, 84, 85, 89, 91, 95, 98,101,104,106,110,111,113,113,114,114,113,113,112,112,112,110,111,110,111,110, 109,110,109,108,109,108,109,110,109,110,108,109,107,108,106,106,105,103,103,100,100, 98, 97, 93, 92, 88, 88, 86, 84, 83, 81, 80, 79, 80, 79, 80, 81, 81, 84, 86, 90, 94, 98,103,108,114,118,125, 130,136,140,146,150,155,160,161,165,165,165,165,164,162,160,157,153,150,146,141,138,132,129,125, 121,119,116,117,116,118,117,120,122,124,127,129,131,134,135,138,140,143,143,145,146,147,147,149, 149,150,149,150,150,151,152,151,152,151,152,151,152,154,153,156,156,157,159,160,161,162,164,165, 164,166,165,166,165,164,162,160,157,154,151,147,144,140,136,132,129,124,121,117,113,111,108,106, 106,106,107,109,110,115,119,123,128,133,139,144,148,155,159,164,168,170,173,174,176,175,176,175, 173,171,168,165,163,159,156,151,147,142,139,135,132,131,127,126,124,124,123,123,122,122,121,121, 122,121,122,121,121,119,120,117,118,117,116,115,115,113,115,113,114,113,112,111,111,112,111,114, 114,117,117,122,123,127,128,132,134,136,138,139,142,141,143,141,141,139,136,133,128,124,118,114, 108,103, 97, 93, 87, 83, 78, 73, 72, 69, 68, 68, 66, 68, 69, 71, 74, 76, 79, 82, 85, 88, 92, 94, 98,101,103,106,109,110,113,114,115,116,117,118,118,119,118,118,117,115,116,114,114,113,113,113, 112,114,113,113,114,114,114,114,115,116,117,117,117,117,118,117,118,116,116,114,115,112,113,110, 111,109,108,107,106,105,105,105,107,108,111,115,118,124,128,134,138,145,151,156,161,166,170,172, 176,177,180,178,180,177,176,172,171,167,165,159,157,150,147,143,137,135,130,127,124,121,120,120, 117,119,118,118,120,121,123,124,127,129,131,132,136,137,140,140,143,143,144,145,146,147,148,148, 149,148,149,149,147,148,147,146,147,147,148,149,150,151,152,154,155,156,157,157,159,159,159,159, 158,156,155,151,149,145,143,139,137,131,129,124,122,118,114,113,109,109,106,108,107,110,111,115, 116,121,124,130,133,139,142,147,151,154,158,160,163,163,165,164,166,163,164,160,160,156,154,149, 147,143,139,135,131,126,124,120,118,116,114,112,110,110,108,109,107,108,107,109,109,110,111,110, 111,110,111,111,111,108,109,106,105,103,102, 99, 99, 97, 97, 97, 96, 99, 99,103,105,108,112,114, 119,122,125,127,130,132,134,135,135,135,133,132,130,126,125,120,118,112,109,104,100, 94, 91, 85, 82, 77, 75, 72, 71, 70, 69, 70, 70, 73, 74, 79, 81, 85, 88, 93, 96,102,105,111,114,119,123,125, 130,133,136,139,141,143,144,145,145,145,143,142,139,137,136,133,132,130,129,127,127,127,126,128, 127,129,128,130,130,132,132,133,132,133,133,131,133,130,131,129,129,126,127,125,124,123,121,122, 120,122,121,124,125,127,129,134,136,141,143,148,150,156,158,163,165,169,171,171,174,173,174,173, 172,169,169,164,163,158,157,151,148,143,138,135,130,126,122,119,116,114,111,112,111,110,111,112, 114,116,119,121,125,126,131,132,137,138,143,144,148,148,152,152,154,155,155,154,155,154,152,153, 151,151,149,149,148,149,148,148,148,147,148,148,148,148,148,148,147,146,144,143,141,140,137,134, 132,127,126,121,119,114,112,109,106,104,101,101,100, 99, 99,101,101,105,105,110,111,116,118,123, 127,130,134,137,141,143,148,150,151,153,154,154,154,153,152,149,145,141,135,131,126,121,116,110, 106,101, 98, 95, 93, 91, 91, 89, 90, 90, 91, 92, 94, 95, 97, 98, 99,101,102,104,104,105,105,107, 107,108,108,106,107,106,105,106,104,105,104,106,105,108,108,112,113,115,118,121,122,126,127,130, 130,132,132,133,132,132,131,130,129,127,126,123,121,119,116,114,110,108,104,102, 99, 96, 95, 93, 92, 92, 91, 93, 93, 96, 98,101,105,110,113,118,122,128,132,137,141,146,149,153,156,158,161,162, 162,162,162,161,159,158,156,152,151,148,146,143,142,141,137,138,135,136,133,135,133,134,132,133, 133,132,133,132,133,132,132,131,131,129,130,129,127,127,126,126,126,124,125,124,125,126,127,130, 130,133,134,138,139,144,146,149,152,154,158,159,162,163,166,166,168,168,168,167,166,165,163,159, 157,154,149,146,142,136,133,128,125,121,118,116,113,112,111,111,111,113,112,115,115,119,120,123, 127,129,131,135,137,140,143,144,146,146,147,146,147,146,145,144,142,142,139,139,137,137,135,134, 134,133,133,133,133,133,132,130,130,129,129,127,127,125,126,124,125,122,123,120,121,118,117,114, 113,109,107,104,102,100, 96, 96, 92, 93, 92, 92, 93, 96, 97, 99,102,105,110,113,116,121,125,128, 132,134,137,140,142,142,144,143,142,141,138,136,132,129,124,121,116,112,107,103, 99, 96, 94, 91, 90, 89, 88, 89, 88, 90, 90, 91, 94, 94, 96, 97,100,100,104,104,108,109,110,113,114,116,118,117, 119,120,120,122,121,123,122,124,124,124,125,126,127,127,129,130,131,133,133,133,135,134,137,137, 138,138,139,139,139,138,138,135,135,131,130,126,125,121,120,117,115,113,111,110,109,109,110,111, 113,115,118,120,124,128,131,135,138,143,146,151,154,157,161,162,165,165,166,165,166,163,163,160, 159,156,154,152,148,147,143,142,139,137,136,134,133,131,131,130,129,129,129,128,130,129,131,130, 132,131,134,133,136,135,137,135,137,136,137,137,135,136,135,136,134,136,136,136,137,140,139,142, 142,146,147,148,150,151,154,154,157,157,158,159,159,159,159,158,156,154,150,148,144,139,136,131, 127,122,118,114,111,108,106,104,104,104,102,104,104,106,107,108,110,112,114,117,120,122,125,127, 130,133,135,138,139,141,142,143,143,144,142,142,138,138,135,132,130,127,125,122,120,118,116,115, 112,112,109,109,109,107,108,108,108,107,108,107,109,107,109,107,108,106,105,105,103,102, 99, 99, 96, 96, 94, 93, 93, 93, 93, 94, 95, 97,100,101,104,107,110,113,116,120,122,125,128,130,133,133, 136,135,135,135,134,132,131,129,127,125,121,119,115,113,110,108,105,103,102,101, 99, 99, 97, 98, 97, 98, 99,101,103,104,107,109,113,115,119,121,125,125,130,130,134,136,137,139,139,141,141,142, 142,141,142,141,142,142,143,144,143,144,143,145,145,144,146,145,147,146,148,147,149,147,148,146, 146,144,142,141,138,136,133,132,128,127,124,124,121,120,119,119,120,120,122,124,124,125,128,130, 133,135,139,140,145,146,151,153,156,158,160,162,163,165,165,166,165,165,163,163,160,159,155,154, 151,148,146,143,141,139,137,134,132,131,129,127,127,125,126,124,126,125,127,127,128,129,130,131, 133,132,134,133,134,134,132,133,131,132,129,131,130,129,130,130,131,131,133,134,135,136,136,138, 138,139,139,139,141,140,142,139,141,138,139,136,136,133,133,131,129,127,123,122,118,116,112,111, 108,106,104,103,100,100, 98, 99, 98, 99, 99,101,101,104,106,107,112,113,117,119,122,124,127,129, 130,132,133,134,134,135,132,131,130,128,126,124,122,120,117,115,112,110,109,106,106,104,104,102, 104,103,103,103,104,102,104,103,104,103,104,103,102,102,102,101,100, 99, 99,100, 99,100,100,102, 102,105,105,109,111,112,115,116,119,120,124,125,129,129,133,133,137,138,140,139,141,140,141,140, 139,138,136,136,132,131,127,127,123,123,120,119,117,116,113,114,113,114,112,114,114,115,117,119, 122,123,126,129,132,135,138,141,143,145,146,148,148,150,148,150,149,148,148,147,148,147,147,147, 147,148,146,148,146,147,147,146,147,145,147,145,146,145,145,145,144,144,142,142,140,139,138,136, 135,134,131,131,128,128,126,126,125,125,125,125,126,127,128,130,130,133,133,136,138,140,141,144, 146,148,150,152,154,156,156,158,158,158,157,157,155,154,150,149,144,143,138,137,132,130,126,125, 122,121,118,117,115,116,115,114,116,114,117,116,118,117,120,119,121,120,122,122,124,124,124,126, 125,126,127,126,127,127,128,129,127,129,128,130,129,131,130,130,131,131,131,131,130,131,131,131, 131,129,130,129,128,126,126,124,123,121,120,117,115,112,111,110,106,105,102,101, 99, 97, 96, 95, 94, 95, 93, 95, 94, 97, 97,100,101,104,107,110,113,115,118,120,123,123,126,126,128,128,127,128, 127,126,125,123,122,120,119,119,116,116,114,114,112,112,110,110,108,109,108,108,107,108,108,108, 109,109,110,110,111,112,113,112,113,113,114,115,115,116,117,117,119,119,121,122,123,126,126,129, 130,132,133,135,136,138,141,141,145,146,148,149,151,151,154,153,155,154,154,152,151,150,147,146, 143,140,137,135,132,131,128,126,125,123,123,123,122,123,123,122,125,124,128,128,132,133,135,138, 140,143,145,147,148,149,150,152,152,152,152,152,152,152,150,152,150,151,149,150,148,148,149,148, 148,146,147,145,146,144,145,144,144,141,142,140,141,140,140,139,139,137,137,136,134,134,131,130, 128,128,125,125,122,123,121,122,120,122,121,123,123,125,126,128,130,132,134,135,139,139,142,143, 144,145,145,144,145,144,142,141,139,137,136,133,131,129,127,125,123,120,119,117,116,114,113,112, 110,110,109,109,108,107,109,108,110,110,112,111,114,113,115,116,116,118,118,120,120,121,120,123, 123,124,124,125,123,125,123,124,124,123,123,122,122,121,120,120,120,120,121,120,120,120,120,120, 120,118,118,117,114,114,111,110,106,106,102,102, 99, 99, 96, 96, 94, 95, 93, 95, 94, 96, 97, 97, 100,100,104,104,108,108,113,115,118,119,123,123,127,128,129,130,130,132,131,132,130,130,130,129, 128,128,125,126,125,123,122,121,121,120,118,118,118,116,118,116,119,118,121,120,123,124,125,127, 128,129,131,132,132,133,134,135,134,136,134,136,135,135,135,136,136,137,136,138,138,140,141,141, 143,143,145,146,147,149,150,151,152,152,152,152,152,150,150,148,147,145,142,142,139,137,135,133, 131,130,128,128,125,126,126,126,125,126,126,128,129,129,132,133,136,137,139,141,142,145,146,148, 148,150,150,152,152,154,153,153,153,152,151,151,148,148,145,144,141,141,137,137,134,133,132,129, 130,128,128,128,128,127,128,126,127,126,125,125,124,124,123,122,122,120,120,119,119,119,119,120, 119,121,119,122,121,123,123,125,125,127,128,130,131,133,134,135,137,136,139,138,139,138,139,138, 135,136,133,133,130,130,127,125,124,123,120,119,117,115,113,112,110,109,108,107,105,104,103,104, 103,104,105,106,107,109,110,112,113,115,115,117,117,119,119,120,119,121,119,121,119,120,119,118, 118,117,117,116,116,115,115,114,115,114,113,114,113,113,113,114,114,114,113,113,112,112,111,111, 110,108,108,106,106,105,103,104,103,103,104,104,105,105,107,107,109,109,112,113,114,117,118,121, 123,125,129,129,134,134,138,139,141,143,144,145,145,147,146,147,146,145,145,144,142,141,139,138, 137,136,133,133,130,130,129,127,128,126,128,127,127,128,130,129,132,131,134,133,135,135,137,137, 139,139,140,140,140,141,141,142,140,142,142,142,143,143,144,145,145,147,147,148,149,149,151,150, 152,151,152,151,150,150,149,147,147,145,145,144,141,141,138,138,135,135,132,132,129,130,126,127, 124,124,122,122,122,122,122,122,122,124,125,126,128,130,132,133,135,136,137,138,138,140,139,141, 140,141,139,140,138,139,137,136,136,135,133,133,130,129,129,127,128,126,125,125,124,125,124,124, 123,123,122,122,122,120,120,118,118,118,117,116,116,116,116,115,116,116,117,117,118,119,120,121, 121,123,123,125,126,127,127,129,129,131,132,131,133,133,132,133,133,131,131,129,129,128,126,126, 123,122,120,117,116,113,112,109,108,106,104,103,102,100,100,100, 99,100,101,101,102,103,104,106, 106,107,110,110,113,113,115,116,117,117,118,118,117,119,118,119,118,120,119,120,119,120,120,121, 120,121,120,120,120,120,120,120,121,119,121,120,120,120,120,120,120,120,120,121,120,121,120,121, 121,120,121,121,121,121,122,123,122,124,123,125,124,126,127,128,131,131,134,134,138,138,142,142, 145,145,148,149,151,150,152,152,152,152,150,151,148,148,145,145,141,141,138,137,134,133,131,130, 128,129,128,127,129,127,130,130,130,132,132,133,135,134,136,136,138,137,139,139,140,140,141,142, 143,143,144,145,143,145,144,145,145,145,144,144,142,143,143,142,142,140,142,141,141,141,140,140, 140,140,138,139,137,137,134,134,132,131,128,128,124,125,121,122,120,118,118,116,116,115,115,115, 114,116,116,118,119,121,124,123,127,127,130,130,134,134,136,136,138,138,138,139,137,138,136,137, 134,135,132,133,132,130,130,128,127,126,124,124,122,122,120,120,119,118,117,117,116,116,116,115, 116,116,115,116,116,117,116,118,118,117,118,118,118,119,117,119,117,118,118,117,117,118,117,118, 117,118,118,119,119,120,120,121,121,122,123,121,123,122,123,121,121,120,120,119,116,116,114,112, 111,109,108,106,106,104,104,102,103,102,102,102,102,103,103,105,106,106,109,109,112,112,116,117, 118,121,122,124,127,127,130,132,132,135,134,137,136,138,137,139,138,139,137,138,136,137,135,136, 135,134,134,133,134,132,133,131,132,131,132,131,132,131,133,132,132,134,133,134,133,135,133,135, 133,135,133,135,133,135,133,135,135,134,137,136,140,139,143,143,146,146,149,150,151,152,152,154, 154,153,154,153,153,152,151,150,149,148,146,145,144,142,141,140,137,135,133,131,130,129,127,127, 125,125,124,124,124,125,126,125,127,127,129,129,131,131,132,132,134,135,134,136,134,136,134,136, 134,136,134,134,134,132,133,132,131,131,130,131,131,129,131,129,131,129,131,129,130,129,128,129, 127,128,127,125,124,124,121,121,118,119,117,116,116,115,115,115,113,114,114,115,115,117,118,118, 120,120,123,122,125,125,128,127,129,130,130,132,132,133,133,133,133,132,131,131,129,128,127,125, 124,121,120,117,116,114,112,111,109,109,108,106,107,104,106,104,106,106,106,106,107,107,109,109, 110,111,111,111,112,113,111,113,111,113,111,113,112,113,113,112,113,113,114,115,115,116,116,117, 117,118,118,119,120,118,120,120,120,120,120,121,121,120,120,119,120,120,118,119,119,118,118,118, 118,117,117,117,116,117,118,117,119,119,122,121,124,125,126,128,129,131,133,134,137,138,141,142, 144,145,147,148,148,150,150,152,151,152,150,151,148,148,146,145,142,142,141,138,139,137,138,136, 137,136,137,136,138,136,138,137,139,138,139,139,140,140,139,140,139,141,140,140,141,141,141,142, 140,142,140,142,141,142,142,142,143,141,143,142,144,143,145,143,144,145,145,146,145,146,144,145, 143,143,141,141,138,138,135,134,130,130,126,126,124,123,121,119,118,117,117,117,117,116,118,117, 120,121,122,123,125,126,129,129,130,133,132,134,133,135,133,135,133,134,132,133,130,131,129,129, 127,127,127,125,127,125,127,126,126,126,127,125,126,125,126,125,126,126,124,125,124,123,123,123, 120,121,118,119,116,117,115,114,113,112,112,111,111,111,110,110,110,111,112,111,114,114,116,116, 119,120,121,123,124,124,126,127,128,127,127,127,126,125,123,123,120,117,115,113,111,108,107,104, 103,101, 99, 99, 98, 98, 98, 98, 99,100,102,101,104,105,106,108,109,112,112,114,114,116,115,118, 117,119,118,120,118,120,120,119,120,119,120,120,120,121,122,122,125,124,127,126,130,129,131,133, 134,135,136,138,138,139,139,139,139,139,139,138,138,137,136,136,133,134,131,132,129,129,128,126, 126,125,126,125,128,127,130,131,133,134,138,138,143,145,147,150,151,154,154,157,157,159,158,159, 157,156,156,154,153,151,150,149,146,146,143,142,140,140,138,137,138,135,137,135,137,135,137,136, 137,138,138,140,139,140,139,141,139,141,139,140,137,138,135,136,133,133,131,131,129,129,128,128, 128,127,127,127,127,128,129,128,131,130,134,133,136,136,139,138,140,140,140,140,140,139,138,137, 135,133,130,129,126,123,121,118,117,115,114,112,112,110,112,110,113,111,114,115,116,118,120,123, 125,126,129,130,131,133,132,135,134,135,134,135,132,133,131,131,128,128,125,124,123,120,120,118, 117,116,116,113,115,112,114,112,114,113,115,115,116,116,117,117,118,118,118,118,117,117,116,115, 113,113,109,110,107,107,104,104,102,102,103,101,103,102,104,104,107,106,110,110,114,115,118,119, 121,122,124,124,125,126,124,126,124,123,122,122,120,119,117,116,113,113,111,110,110,108,108,108, 108,108,110,109,112,112,115,117,118,121,122,125,125,128,128,131,132,133,134,135,135,136,136,136, 137,136,137,136,136,135,136,135,134,134,135,133,134,134,134,134,135,136,137,138,139,141,142,144, 144,146,146,146,146,146,145,145,144,143,142,141,140,138,137,136,135,134,133,133,133,133,134,133, 135,135,136,137,138,140,142,144,145,147,148,150,150,151,152,152,152,154,151,152,149,150,146,146, 143,142,140,137,135,133,131,129,127,126,125,122,123,121,123,121,122,123,124,125,126,128,128,131, 131,133,132,135,134,136,134,136,134,135,132,133,130,130,129,127,127,125,125,123,125,123,124,124, 125,125,128,127,131,130,133,134,135,137,137,139,138,138,138,137,136,135,134,133,129,129,125,124, 121,119,117,116,113,112,110,110,109,108,109,108,110,110,111,112,113,115,118,119,121,123,125,126, 127,128,129,129,129,129,128,128,126,125,123,121,119,116,115,111,111,108,107,104,104,102,102,101, 102,101,103,102,105,106,107,109,109,112,113,113,114,116,114,116,113,115,112,114,112,110,110,109, 107,107,105,105,106,105,105,105,107,107,109,110,113,115,118,121,124,127,129,133,134,137,138,140, 140,142,141,141,141,140,139,138,136,136,133,133,130,129,128,125,125,123,122,121,121,119,121,119, 122,122,125,125,130,131,134,136,140,141,144,146,148,149,150,152,150,152,149,151,149,147,147,145, 144,142,142,139,139,136,138,136,136,136,137,137,138,139,141,140,143,143,145,147,146,149,147,149, 147,149,146,147,144,144,141,140,138,136,134,131,130,127,126,124,123,121,121,120,121,121,122,123, 124,125,128,128,132,132,136,138,139,142,142,145,143,146,144,145,144,143,142,140,138,137,133,132, 129,125,124,120,120,117,116,115,115,115,116,116,118,119,121,123,124,127,128,132,131,135,134,137, 135,137,136,136,134,135,132,131,130,128,126,125,123,122,121,120,120,119,120,118,120,118,121,120, 123,122,125,125,127,128,129,130,130,130,130,131,128,129,125,126,122,122,118,117,113,112,109,106, 103,101, 99, 97, 97, 96, 96, 96, 97, 97, 99,101,103,105,107,111,112,116,117,121,122,123,124,125, 125,125,124,124,123,121,120,118,117,114,113,109,109,107,106,104,105,102,105,103,107,106,110,111, 113,116,118,120,122,124,126,128,128,129,129,131,128,130,129,128,128,128,126,127,125,125,125,123, 124,122,124,123,125,123,127,126,130,129,133,135,138,140,141,145,145,149,150,151,152,153,152,152, 151,151,148,149,145,145,141,140,136,135,132,131,129,128,127,126,126,126,127,128,129,131,133,135, 138,140,143,145,147,149,151,152,152,153,153,153,153,152,151,151,149,147,145,143,141,138,137,135, 133,131,131,129,129,128,128,128,129,127,130,130,130,132,133,133,134,135,135,136,134,136,134,136, 134,133,132,132,128,128,125,125,122,121,120,117,118,115,117,116,117,118,119,121,124,124,129,130, 132,136,137,141,141,144,144,147,145,146,145,144,142,141,139,137,135,131,129,127,124,121,119,116, 116,113,114,111,113,112,113,114,115,116,118,120,121,122,124,125,126,128,127,129,127,129,127,129, 126,127,124,124,121,121,117,116,114,113,112,108,109,106,107,105,107,105,108,107,109,110,111,113, 113,116,116,117,117,118,117,118,115,117,114,115,111,112,108,108,106,103,102, 99, 99, 96, 97, 95, 97, 96, 99, 98,101,102,106,108,113,114,119,121,125,128,131,133,134,137,135,138,136,138,137,136, 135,134,133,131,130,129,127,126,125,124,124,123,124,123,123,124,125,126,128,128,131,131,134,135, 137,138,139,140,141,142,143,144,142,144,143,143,142,141,140,138,138,136,136,133,135,132,134,133, 134,134,136,135,139,139,143,143,146,148,149,152,151,154,152,155,153,154,151,152,148,149,145,145, 140,139,135,134,130,129,126,124,123,122,122,120,121,121,122,123,124,126,127,130,132,132,135,136, 137,139,138,140,139,141,139,140,140,139,138,138,135,135,132,131,129,127,126,124,123,122,121,121, 120,120,121,121,123,123,124,126,127,129,129,132,131,133,132,134,132,134,133,133,132,132,129,128, 126,124,123,120,120,119,117,117,117,116,117,117,118,119,121,123,126,126,129,130,132,133,135,136, 135,137,135,137,134,135,132,133,129,129,125,124,120,119,116,114,111,110,109,106,106,103,103,102, 102,102,103,104,105,106,109,110,112,113,114,115,116,118,116,119,117,119,118,117,116,115,115,113, 112,110,110,107,107,104,105,102,104,102,105,104,105,106,109,109,113,114,117,118,121,123,124,126, 126,127,127,128,127,127,126,125,124,122,121,119,119,116,117,115,116,115,116,116,117,118,121,120, 125,126,128,131,134,136,139,141,143,146,146,149,148,151,151,151,151,152,150,150,148,147,145,144, 142,140,137,136,134,133,132,131,132,130,133,131,134,134,137,139,140,141,144,145,146,148,148,151, 149,152,150,152,150,152,149,150,147,146,143,142,140,139,137,135,135,132,134,131,134,132,134,133, 136,136,137,139,140,140,141,141,141,142,140,141,139,140,137,138,135,135,132,132,128,128,125,124, 121,120,119,118,117,116,117,115,117,116,119,118,122,123,124,126,127,130,130,133,133,136,136,138, 138,139,139,140,138,139,136,137,133,133,130,129,128,124,124,121,122,120,120,119,119,120,121,120, 123,123,125,125,127,127,128,128,129,130,128,130,127,129,127,126,125,124,123,121,120,118,118,116, 114,114,114,111,113,111,113,111,114,112,115,116,116,118,118,121,120,122,120,122,120,122,120,120, 119,118,116,115,113,112,110,107,106,103,102, 99, 99, 97, 97, 95, 96, 94, 96, 96, 97, 98,100,101, 105,106,109,111,113,116,117,119,121,123,122,125,124,126,125,124,124,123,121,121,119,119,118,118, 119,116,119,117,120,119,123,123,125,127,128,131,131,134,134,137,136,138,138,138,138,139,137,138, 137,136,136,134,134,132,132,130,130,129,128,128,129,129,130,130,132,133,136,136,139,141,144,146, 148,149,151,152,153,155,154,156,154,156,155,155,152,153,150,149,147,144,143,140,139,137,136,132, 133,130,131,129,131,131,131,133,134,134,136,136,138,139,139,141,139,141,140,141,139,139,137,137, 135,135,132,132,129,128,127,126,126,124,124,123,124,123,126,124,127,127,129,130,132,133,134,134, 135,136,137,137,137,137,137,137,136,136,133,134,131,131,128,128,125,124,122,121,120,119,118,118, 117,118,119,118,121,121,122,125,126,128,130,131,133,135,134,137,136,138,136,137,137,136,135,135, 132,132,129,128,126,123,123,120,120,118,118,115,116,114,116,114,116,116,116,117,118,117,118,118, 119,120,118,119,118,118,117,116,115,114,113,111,110,108,108,106,106,105,104,102,103,101,102,102, 103,104,104,105,106,108,109,109,111,112,114,115,115,117,117,119,118,120,119,121,119,120,118,119, 116,117,114,114,113,111,110,109,109,108,109,109,110,112,113,115,116,119,121,123,125,127,128,132, 134,136,136,138,138,139,139,138,138,138,136,136,135,134,134,133,133,131,132,131,131,131,131,132, 134,133,136,136,139,141,141,144,144,144,145,145,146,146,146,146,146,146,146,145,145,143,144,142, 142,140,140,137,137,134,134,132,133,132,134,133,136,137,138,140,140,143,144,147,148,150,149,152, 152,155,154,157,156,159,158,157,156,155,154,152,152,150,147,145,142,140,138,137,137,136,138,137, 140,139,141,141,143,143,145,145,145,144,144,143,142,141,140,140,139,139,137,138,136,137,137,137, 135,135,133,132,129,127,126,124,123,122,121,122,123,125,127,130,132,136,137,141,141,144,143,145, 142,143,139,138,134,129,126,121,117,113,111,108,106,106,104,103,102,100, 97, 95, 93, 92, 91, 92, 92, 92, 94, 94, 96, 97, 97, 99, 98, 99, 97, 98, 96, 94, 93, 93, 90, 91, 90, 89, 89, 88, 88, 86, 83, 81, 78, 72, 70, 65, 64, 60, 61, 60, 64, 65, 71, 73, 78, 82, 85, 88, 92, 95, 97,100,101,103, 106,108,110,110,110,110,109,108,105,104,101,101,100,101,101,102,103,103,104,105,106,108,111,112, 116,117,121,123,127,130,131,132,134,135,136,137,139,141,141,145,145,149,149,152,151,153,153,154, 153,153,152,150,150,147,145,143,142,141,141,142,143,145,145,146,146,147,146,147,145,146,146,146, 146,147,146,148,148,150,150,151,153,153,156,156,161,162,167,169,174,175,180,182,186,186,189,188, 190,190,191,190,190,190,187,187,183,184,182,181,180,177,175,172,168,165,160,158,155,151,150,147, 149,147,150,149,153,153,155,156,158,159,160,161,162,161,162,162,161,161,161,160,160,160,161,162, 164,166,164,165,162,160,155,151,145,140,136,131,129,124,124,120,121,119,118,118,117,113,112,109, 108,107,105,106,104,106,104,107,107,110,110,109,108,105,102, 97, 92, 88, 82, 79, 76, 76, 75, 75, 77, 76, 79, 78, 81, 79, 80, 78, 79, 77, 78, 77, 79, 79, 81, 83, 86, 88, 90, 92, 93, 94, 95, 98, 97,101,100,102,100, 99, 96, 94, 91, 88, 84, 81, 80, 76, 78, 75, 79, 78, 82, 84, 85, 88, 88, 91, 92, 94, 96, 96, 96, 95, 95, 95, 95, 95, 96, 96, 96, 97, 96, 97, 96, 96, 96, 94, 96, 95, 98, 97, 101,101,105,105,108,109,111,112,114,114,116,116,117,117,118,118,119,119,119,119,117,118,117,118, 117,117,117,117,115,113,110,109,108,108,108,108,110,112,116,119,124,128,133,138,143,150,156,164, 170,176,181,187,188,193,192,196,194,195,193,191,190,188,187,186,184,181,179,174,172,167,165,161, 159,157,155,154,153,150,152,152,155,157,162,164,168,171,175,177,178,178,177,174,172,171,168,169, 166,168,166,167,166,167,167,166,164,163,161,159,157,153,153,150,150,148,147,147,147,148,146,147, 144,143,138,136,131,130,127,125,124,124,123,122,122,121,120,117,115,111,108,103,100, 98, 96, 96, 97, 98,100,103,105,109,111,115,116,119,121,122,124,127,127,130,128,129,127,126,125,124,121,122, 119,119,118,119,119,120,122,124,125,127,129,130,133,133,133,134,133,133,132,133,133,136,138,141, 143,145,146,147,145,145,143,141,138,135,132,128,125,121,118,116,112,109,107,105,103,102,101,100, 101,100,103,104,104,107,108,110,110,113,114,115,117,118,119,118,117,115,112,109,107,104,102, 99, 97, 94, 93, 90, 90, 87, 86, 84, 84, 80, 81, 79, 79, 79, 79, 80, 82, 82, 86, 87, 91, 95,100,106, 111,118,123,130,134,141,144,149,150,155,155,158,160,160,161,159,159,157,157,155,155,153,154,152, 153,151,153,152,150,149,146,146,144,142,142,143,144,146,148,151,150,153,152,154,152,150,148,144, 141,137,136,133,132,132,133,134,138,139,144,145,149,150,152,152,153,154,155,157,157,160,160,163, 161,163,160,160,155,152,146,141,136,131,128,124,124,121,121,118,119,117,115,113,111,108,106,102, 102, 99,100, 98, 99,100, 99,101,100,103,104,105,106,107,109,111,111,112,112,112,111,109,106,105, 103,101, 99, 97, 95, 92, 92, 91, 93, 93, 98, 99,104,107,110,115,117,121,121,125,124,127,126,129, 128,131,132,133,134,134,135,134,133,130,130,126,126,123,120,118,117,113,113,111,110,110,111,114, 117,119,120,123,123,126,127,130,130,133,133,136,136,139,138,141,141,141,139,137,133,131,127,124, 121,117,115,110,109,104,103, 99, 98, 96, 96, 95, 96, 95, 97, 96, 97, 96, 95, 94, 93, 92, 91, 92, 91, 93, 92, 94, 94, 97, 97, 99,103,105,110,112,117,121,124,128,131,134,135,138,140,143,146,150, 153,158,161,163,167,168,169,169,169,167,165,162,160,157,155,153,152,151,151,150,151,150,152,150, 151,148,148,144,144,140,141,140,142,143,146,150,152,157,159,163,164,164,165,165,166,167,167,171, 171,175,174,177,176,176,173,171,167,161,158,151,148,143,142,138,139,135,136,135,134,134,133,134, 132,132,129,129,126,125,121,121,117,117,115,113,112,110,109,106,104,101,100, 98, 97, 97, 96, 96, 96, 95, 95, 94, 94, 93, 93, 91, 92, 90, 91, 93, 94, 98, 99,104,106,109,109,113,113,117,117,120, 120,122,121,122,120,121,120,120,120,120,121,120,122,121,124,123,123,123,123,122,122,122,122,123, 123,125,127,130,131,135,136,137,138,139,140,142,143,144,143,144,143,143,141,141,140,139,139,136, 138,135,137,136,137,136,135,133,133,130,130,129,128,127,126,125,124,122,120,119,117,116,113,112, 107,106,102, 96, 93, 88, 82, 79, 77, 74, 73, 73, 74, 76, 80, 80, 85, 87, 92, 94, 99,101,105,108, 113,117,122,127,133,139,144,148,152,156,156,156,152,150,144,139,133,128,123,120,118,115,116,115, 117,119,120,121,122,123,123,124,125,126,126,129,131,136,139,144,146,150,149,151,148,148,144,143, 140,138,138,137,140,140,142,142,144,143,147,146,149,147,149,149,153,154,155,158,158,159,159,159, 160,161,161,159,157,155,150,147,141,134,126,120,111,107,102, 99, 96, 93, 90, 89, 88, 90, 93, 96, 100,105,113,118,127,134,139,144,146,150,153,155,157,158,155,155,151,147,142,136,129,121,113,106, 102, 99, 98, 95, 95, 93, 96, 97,103,106,113,117,125,130,141,150,160,166,172,175,178,180,183,184, 183,183,180,175,170,164,153,145,133,122,113,106,102, 97, 95, 92, 92, 94, 98,101,108,113,120,127, 136,146,157,164,173,178,184,187,192,195,198,198,198,196,192,186,178,167,153,138,125,113,103, 93, 86, 78, 74, 69, 65, 65, 66, 67, 67, 68, 70, 74, 81, 89, 97,105,113,119,128,134,141,147,152,157, 160,163,161,160,153,148,140,134,129,126,122,120,116,115,112,112,110,109,108,104,105,105,109,115, 122,129,138,144,151,155,160,161,163,164,164,164,164,162,157,151,142,133,124,116,107,101, 92, 85, 80, 73, 73, 72, 74, 73, 78, 80, 87, 95,105,116,127,137,147,155,161,166,170,172,174,176,177,177, 173,170,161,154,142,134,122,115,106, 96, 90, 83, 81, 78, 79, 78, 77, 77, 78, 79, 83, 87, 92, 97, 103,107,115,120,125,130,133,138,140,145,145,147,143,140,130,123,112,105, 95, 89, 79, 74, 71, 68, 71, 72, 77, 80, 84, 88, 94,100,108,112,121,126,135,142,149,153,157,161,165,170,171,175,173,172, 166,159,152,144,137,129,119,112,105, 99, 98, 95, 96, 94, 97, 97,102,104,112,117,124,132,139,148, 155,161,166,169,174,177,181,184,186,186,184,180,174,168,161,154,146,137,127,121,114,110,107,103, 100, 98, 98,100,105,107,114,118,123,129,134,138,140,138,139,137,136,135,136,136,133,132,125,122, 115,111,102, 96, 85, 78, 70, 66, 62, 61, 62, 63, 69, 74, 85, 93,106,114,127,135,146,154,163,169, 174,180,183,190,195,199,201,202,197,194,185,179,167,157,143,133,121,114,106,102, 96, 93, 89, 89, 90, 92, 96, 99,104,108,114,119,127,132,140,144,151,157,164,171,176,180,182,182,180,176,172,166, 157,149,139,129,121,114,107,100, 93, 89, 85, 85, 86, 86, 92, 95,103,107,115,122,126,131,132,135, 137,141,143,143,141,140,135,133,127,124,115,109, 99, 91, 85, 79, 74, 68, 63, 56, 52, 48, 47, 45, 49, 51, 57, 61, 71, 78, 88, 94,102,106,112,120,126,134,140,143,146,147,148,149,145,143,136,133, 126,124,118,116,110,107,103,102,101,102,103,104,108,110,117,123,129,134,139,141,147,150,156,162, 166,172,173,177,178,181,179,179,172,169,162,157,151,148,143,139,136,132,132,129,131,129,132,131, 135,137,141,145,149,151,155,157,161,165,169,172,173,175,173,173,168,164,153,144,132,123,111,104, 95, 89, 80, 75, 69, 63, 61, 57, 55, 54, 54, 56, 62, 68, 78, 87, 95,105,115,126,137,146,155,160, 167,171,175,178,179,178,175,170,166,162,156,151,146,140,134,129,123,120,117,115,114,115,118,123, 130,134,141,144,150,154,158,163,166,166,169,169,172,173,173,173,169,165,160,154,150,145,141,137, 134,131,132,131,134,134,137,138,143,145,152,156,163,165,170,172,176,177,180,181,180,179,180,179, 179,177,171,166,157,147,137,125,112,101, 87, 78, 68, 62, 57, 53, 52, 50, 50, 52, 57, 62, 68, 73, 78, 81, 87, 91, 94, 98,100,103,105,108,112,115,116,118,116,114,108,104, 96, 91, 83, 77, 69, 64, 59, 57, 53, 52, 52, 54, 57, 63, 70, 77, 84, 91, 98,107,114,122,127,133,137,143,146,151,152,154, 152,152,148,147,141,138,131,124,118,111,107,103, 99, 97, 95, 95, 96,101,108,114,122,130,139,149, 158,166,174,179,183,185,187,188,191,192,194,194,191,190,185,180,174,166,156,145,135,124,115,105, 98, 92, 87, 86, 87, 88, 92, 94, 99,103,107,112,116,118,122,123,127,129,135,138,143,147,147,151, 149,151,147,146,140,135,129,124,121,117,114,112,110,112,115,117,123,126,132,136,142,147,152,158, 162,168,172,176,180,184,187,190,189,189,185,183,177,173,164,157,147,138,130,121,113,105, 99, 93, 92, 92, 94, 97,102,108,118,125,137,146,156,166,175,184,191,199,206,210,214,216,215,214,210,208, 201,196,186,179,170,160,151,140,131,120,113,105, 99, 95, 91, 90, 89, 90, 92, 96,100,106,111,115, 121,124,130,135,137,140,140,141,139,138,134,129,123,116,109,102, 95, 87, 79, 70, 64, 57, 54, 49, 49, 46, 49, 50, 53, 58, 64, 69, 76, 80, 87, 92, 99,105,112,117,122,126,128,129,128,128,122,119, 111,105, 97, 90, 80, 73, 64, 58, 52, 49, 47, 45, 47, 48, 52, 55, 62, 67, 75, 81, 90, 97,107,115, 127,137,147,156,162,169,172,174,173,169,163,159,151,147,139,133,124,118,111,106,101, 96, 94, 89, 89, 88, 91, 93, 99,102,109,114,119,124,132,138,141,146,147,149,149,149,145,142,136,132,126,120, 115,109,104, 99, 92, 89, 86, 82, 82, 80, 83, 85, 90, 98,107,117,126,136,144,154,164,172,180,187, 192,198,201,206,207,207,205,202,196,192,185,180,172,166,157,151,143,136,128,124,118,114,112,112, 114,117,121,124,129,132,138,142,150,156,162,169,176,184,189,195,197,200,201,199,197,193,189,184, 178,170,163,156,151,144,140,134,132,130,130,130,134,134,137,138,139,141,144,144,146,147,148,150, 151,153,153,151,151,149,144,141,134,130,123,114,107, 98, 92, 85, 79, 73, 69, 64, 64, 63, 66, 68, 74, 77, 84, 88, 96,100,106,112,117,123,127,131,135,137,139,138,138,135,133,130,126,121,116,109, 104, 98, 94, 89, 82, 78, 75, 74, 73, 76, 79, 84, 90, 94,102,106,113,115,120,123,125,128,131,132, 136,137,140,140,142,143,142,142,139,135,129,126,119,115,108,104, 99, 97, 97, 98,100,103,106,111, 116,118,123,124,128,128,132,133,136,137,141,142,144,144,143,143,140,137,130,124,114,108, 98, 91, 83, 74, 68, 61, 59, 55, 56, 57, 58, 62, 66, 72, 77, 84, 91, 99,106,116,124,131,140,147,154,160, 164,170,172,175,174,173,168,164,159,153,147,141,135,128,124,121,119,120,120,122,125,130,133,139, 143,148,152,157,160,165,168,172,174,177,177,179,180,180,180,178,176,174,170,168,163,161,156,153, 148,147,145,142,144,145,147,151,154,159,164,169,174,179,183,188,191,195,196,197,195,194,190,188, 183,178,169,162,152,144,133,125,113,105, 93, 86, 78, 71, 67, 64, 62, 63, 64, 67, 71, 75, 80, 85, 90, 95,102,108,115,120,125,130,133,137,139,141,139,139,135,132,127,121,115,108,101, 94, 88, 82, 79, 76, 76, 76, 77, 79, 82, 83, 87, 90, 93, 98,102,109,116,123,130,135,141,145,150,151,152,149, 146,142,135,131,124,120,112,107,101, 95, 92, 89, 88, 87, 89, 89, 93, 96,103,106,113,118,125,131, 139,147,153,160,165,169,172,174,175,173,171,167,164,159,154,148,141,133,124,115,105, 96, 87, 79, 72, 67, 63, 61, 61, 59, 60, 60, 59, 61, 63, 67, 71, 73, 78, 81, 87, 90, 95, 98,101,105,106,110, 110,113,112,114,113,112,110,108,105,105,104,105,105,108,111,114,117,120,123,127,130,136,140,146, 150,156,160,164,169,172,175,176,176,175,171,169,163,159,151,146,137,132,125,120,115,113,110,112, 114,118,125,130,137,142,150,156,163,171,177,184,190,198,204,211,216,222,225,226,228,226,224,220, 216,209,201,192,183,172,163,152,144,135,130,124,122,120,118,117,116,116,117,118,120,119,122,123, 126,127,130,131,133,134,132,133,131,129,127,124,121,118,112,108,101, 97, 91, 87, 84, 81, 82, 82, 86, 88, 94, 99,104,111,117,121,127,130,135,139,142,144,146,148,150,151,150,149,149,146,143,138, 132,128,120,114,105, 98, 91, 86, 82, 81, 81, 83, 84, 89, 93, 99,104,110,115,121,126,132,138,145, 152,159,165,172,175,180,181,183,181,179,173,169,162,157,148,142,134,128,122,118,114,113,110,110, 110,111,112,113,114,116,116,118,119,121,122,123,124,124,124,122,121,116,113,106,100, 93, 86, 79, 72, 64, 57, 50, 46, 42, 42, 41, 45, 47, 54, 60, 67, 76, 85, 93,104,112,122,129,138,145,152,157, 162,165,169,170,170,171,168,166,161,158,151,146,138,129,122,114,107,100, 96, 92, 88, 87, 87, 87, 90, 93, 97,103,110,117,125,135,144,152,160,167,175,182,187,191,192,195,194,195,194,191,188,184, 180,175,170,167,163,161,158,156,154,154,155,154,156,156,158,158,161,162,163,165,165,166,167,166, 166,163,161,157,152,147,140,132,123,114,104, 96, 87, 81, 75, 72, 69, 67, 67, 67, 68, 70, 73, 76, 80, 84, 89, 96,104,111,120,127,134,142,147,153,155,158,156,156,152,150,145,138,132,125,117,110, 103, 98, 92, 89, 85, 83, 80, 80, 79, 80, 82, 83, 89, 93, 98,105,111,118,125,130,137,141,146,148, 152,154,154,157,156,157,154,152,147,144,138,136,132,128,127,124,123,123,124,125,127,129,133,136, 141,144,151,155,158,163,167,168,172,172,172,172,169,168,163,158,153,145,137,127,117,106, 96, 85, 76, 67, 60, 53, 50, 45, 44, 43, 43, 45, 47, 53, 59, 66, 74, 83, 93,101,112,121,130,137,145,151, 155,158,160,160,159,155,148,144,135,130,123,116,112,106,104,102,102,101,102,100,103,104,106,107, 110,113,115,118,121,124,127,130,133,135,138,139,142,142,143,141,139,135,131,126,122,117,113,109, 108,109,109,112,116,118,124,129,136,141,147,153,159,166,171,177,181,186,187,190,189,190,187,187, 184,180,173,168,159,150,139,130,117,107, 95, 87, 78, 72, 66, 64, 63, 62, 66, 67, 73, 76, 83, 87, 94, 99,106,111,117,120,126,129,134,138,141,146,147,149,147,146,141,138,130,125,116,111,105,100, 99, 97, 96, 98,100,101,104,105,109,111,115,117,123,127,130,135,138,142,144,146,149,149,151,149, 148,145,141,136,131,124,119,114,108,106,102,103,103,104,108,110,116,119,125,129,136,141,149,154, 161,166,173,177,182,184,189,190,192,193,190,188,183,179,171,162,154,144,135,126,117,111,104,100, 96, 93, 91, 89, 89, 88, 90, 89, 92, 93, 95, 98,102,103,107,108,112,114,117,121,123,127,128,131, 131,132,129,130,127,125,123,121,120,119,119,120,120,122,124,128,130,134,139,143,149,154,160,165, 169,173,175,176,178,177,177,175,170,167,161,154,147,139,132,124,115,110,104, 99, 95, 92, 91, 89, 91, 92, 96, 99,103,109,116,122,131,137,147,154,162,170,177,185,191,195,200,202,202,200,195,191, 184,176,168,159,152,145,136,131,124,120,114,111,106,103,100, 95, 94, 91, 92, 92, 95, 97, 99,103, 107,111,114,119,122,123,125,124,123,120,117,113,110,107,102,101, 97, 96, 94, 93, 91, 92, 91, 92, 93, 95, 97,101,104,110,115,119,126,130,136,140,145,147,151,152,155,154,155,153,151,147,142,135, 129,123,115,110,103, 99, 93, 90, 87, 86, 85, 85, 87, 88, 93, 97,102,109,117,123,132,139,145,153, 159,166,172,176,181,184,184,185,182,180,174,171,164,160,153,148,142,139,134,132,128,127,123,122, 122,120,122,121,124,126,127,130,131,134,136,136,138,137,139,137,136,132,128,121,114,106, 99, 91, 84, 77, 71, 69, 66, 66, 66, 69, 72, 76, 80, 86, 91, 99,106,112,121,127,135,141,148,153,159,166, 170,176,179,184,185,185,182,180,174,169,160,153,143,137,128,122,117,112,108,104,102, 99,100, 99, 102,104,108,113,117,123,129,133,139,142,148,152,158,161,167,170,174,175,177,177,176,174,169,167, 161,158,153,151,147,144,142,140,140,138,139,140,140,143,144,145,147,145,145,142,141,138,137,134, 134,131,130,125,122,116,110,103, 94, 86, 76, 68, 59, 54, 49, 45, 43, 42, 41, 43, 43, 47, 50, 55, 59, 66, 71, 78, 84, 90, 97,102,107,113,118,124,127,131,134,135,133,133,129,124,119,112,107,101, 97, 93, 90, 87, 84, 83, 81, 82, 81, 82, 84, 85, 89, 92, 97,102,107,111,115,121,126,131,137,142, 145,150,152,155,155,154,153,150,148,146,141,141,137,138,136,136,136,137,138,138,142,143,148,150, 156,158,163,165,169,170,174,175,176,177,177,176,176,173,171,165,160,151,144,134,125,116,106, 98, 90, 83, 75, 71, 65, 63, 60, 59, 59, 63, 66, 72, 78, 86, 92,101,108,117,124,132,138,144,150,153, 158,160,162,161,161,159,157,155,150,148,143,141,138,136,134,133,131,131,130,129,131,131,134,134, 137,139,143,146,150,153,156,159,161,164,165,167,166,163,161,157,152,149,143,140,136,135,132,133, 132,135,135,138,139,142,144,149,152,157,162,168,174,181,188,192,199,202,207,208,209,208,206,202, 197,189,182,172,163,153,144,135,124,116,108, 99, 93, 86, 81, 75, 72, 69, 69, 69, 71, 72, 76, 79, 84, 87, 93, 96,102,105,110,114,116,120,120,122,121,117,115,110,107,101, 96, 92, 86, 82, 78, 75, 72, 70, 69, 68, 70, 71, 74, 76, 80, 83, 88, 91, 96,100,103,108,111,115,117,121,122,124,124,122, 120,117,114,111,106,103, 99, 97, 94, 94, 92, 93, 92, 95, 96,101,105,108,114,118,125,130,136,142, 148,155,161,166,173,176,181,185,185,187,185,182,179,173,168,161,155,149,142,138,131,127,122,117, 115,111,110,107,107,104,104,104,103,102,103,102,104,106,108,112,116,120,125,129,130,133,133,132, 131,128,126,122,121,118,117,115,114,113,115,116,117,120,123,127,133,137,143,146,152,155,160,161, 166,167,171,172,175,174,176,174,174,170,168,163,158,152,146,141,133,128,121,116,110,108,105,106, 106,110,113,119,123,130,134,141,147,152,158,163,170,175,183,189,196,200,205,208,210,209,206,203, 197,192,185,177,171,163,156,149,144,139,133,130,126,125,122,121,119,119,117,117,117,116,117,117, 120,121,123,124,126,126,125,125,121,118,112,108,103, 98, 93, 89, 83, 81, 77, 76, 73, 73, 72, 73, 74, 75, 79, 80, 85, 87, 91, 95, 99,102,108,112,117,120,124,127,129,130,129,126,121,118,111,106, 99, 93, 86, 79, 75, 69, 66, 61, 60, 58, 59, 60, 61, 65, 68, 73, 77, 84, 88, 96,103,109,117,123, 131,137,142,148,152,156,156,157,155,152,150,146,142,137,134,130,125,123,118,117,114,114,112,113, 113,115,117,120,123,125,129,131,135,137,137,139,139,140,138,138,134,131,125,122,115,110,105,100, 93, 90, 86, 84, 81, 81, 81, 80, 82, 82, 86, 90, 93, 99,103,110,117,123,132,139,148,156,163,172, 178,185,188,191,191,189,187,182,176,171,164,159,154,148,144,138,135,131,128,123,122,118,118,117, 117,119,121,125,129,136,141,148,154,159,167,171,176,179,181,183,182,183,181,181,178,178,175,174, 171,169,168,166,165,162,162,160,160,159,160,158,160,161,162,163,164,166,168,169,169,170,169,170, 168,165,163,158,153,147,141,134,127,119,113,106,100, 94, 90, 85, 82, 79, 78, 78, 78, 80, 81, 85, 89, 93, 98,102,108,112,117,123,127,132,136,140,141,143,143,142,140,138,135,131,125,122,115,112, 106,102, 97, 94, 90, 88, 86, 85, 83, 83, 83, 85, 86, 89, 91, 96,100,104,110,113,119,123,126,130, 131,132,133,132,132,130,128,125,123,119,117,114,112,109,107,106,106,106,106,107,107,109,110,112, 114,117,121,124,129,134,137,143,146,150,151,152,150,150,146,142,137,129,123,114,107, 99, 89, 82, 74, 69, 65, 60, 59, 56, 57, 56, 59, 62, 64, 69, 73, 79, 84, 89, 96,102,109,114,121,125,132,137, 140,145,146,148,149,149,148,146,143,139,136,133,131,128,129,127,129,130,131,133,134,137,139,139, 142,143,146,147,151,153,157,159,162,164,167,167,168,167,166,164,162,158,155,151,146,143,139,138, 136,137,137,139,143,145,149,152,158,162,166,172,176,182,187,193,197,202,205,207,208,208,206,203, 198,193,187,180,171,165,155,148,139,130,124,116,111,105,101, 97, 93, 92, 90, 90, 89, 90, 92, 93, 98,100,105,110,114,119,123,127,129,131,130,131,129,129,126,124,119,117,111,109,105,101, 99, 96, 96, 95, 94, 96, 96, 99,101,101,105,107,110,113,116,120,124,127,130,133,136,137,138,137,137,136, 133,131,127,125,120,116,113,109,106,102,101, 99,100, 99,101,103,107,111,114,119,123,128,134,138, 144,148,154,157,162,163,166,166,167,165,164,162,160,157,152,148,143,137,130,126,119,115,109,102, 99, 93, 90, 86, 83, 79, 78, 75, 76, 75, 76, 78, 81, 85, 88, 92, 94, 97, 98, 98, 98, 96, 95, 93, 89, 89, 85, 85, 82, 83, 82, 83, 83, 84, 83, 86, 87, 90, 92, 95, 98,103,108,112,119,124,131,136, 144,149,153,158,161,161,162,161,160,158,154,152,146,143,138,134,130,127,122,120,116,115,114,112, 113,113,115,117,121,125,128,134,140,145,153,158,167,172,180,185,191,195,198,202,203,204,204,203, 199,197,192,190,184,180,173,168,162,159,153,150,146,141,140,136,135,132,133,131,131,132,132,133, 134,135,135,137,135,136,135,133,131,128,125,121,117,113,110,106,103, 99, 96, 94, 92, 90, 90, 88, 89, 89, 92, 93, 97,100,103,108,112,117,121,126,131,133,137,137,140,141,139,139,136,132,129,125, 119,116,111,107,104,100, 99, 98, 96, 94, 93, 92, 94, 94, 96, 98,102,105,111,115,121,128,134,141, 147,154,158,163,166,169,169,170,167,166,163,160,157,154,149,147,143,142,139,138,136,136,135,135, 135,136,137,137,137,137,137,138,138,138,137,135,136,133,134,132,129,127,124,120,115,110,103, 98, 92, 86, 81, 76, 73, 70, 68, 68, 67, 69, 69, 72, 75, 78, 81, 86, 90, 95,100,106,112,118,123,129, 134,138,143,145,148,147,148,146,143,140,135,130,126,122,117,114,110,106,104,101,101, 99, 98, 99, 99,101,104,105,110,112,118,121,127,130,135,139,142,146,149,150,152,152,153,153,152,152,151,151, 151,151,150,152,151,153,154,154,156,156,158,158,160,160,163,164,167,168,171,170,173,172,173,171, 170,166,164,159,156,151,144,140,132,127,120,116,111,106,103,100, 98, 96, 94, 95, 94, 95, 94, 96, 97,100,103,108,112,117,121,125,130,133,137,139,142,142,144,144,144,141,140,136,133,129,126,121, 118,115,110,108,105,102,102,100,100,100, 99,101,103,107,109,113,117,119,123,126,129,130,133,135, 135,137,137,139,139,138,138,137,135,135,133,132,132,131,130,129,130,130,130,130,131,131,135,137, 142,145,151,155,160,165,169,172,175,174,176,173,172,168,164,160,153,149,141,137,130,127,120,114, 109,103, 99, 94, 91, 88, 84, 81, 81, 81, 81, 84, 87, 91, 95,100,104,110,114,118,121,124,127,127, 130,130,131,131,131,130,130,129,129,127,126,125,123,122,121,120,118,117,117,117,117,118,119,119, 122,123,125,127,129,131,132,133,134,134,134,133,133,131,127,127,122,122,117,116,111,109,107,105, 105,104,105,105,108,109,114,117,123,127,134,140,145,152,157,163,168,171,176,177,180,180,180,178, 175,172,168,163,158,153,147,141,133,128,120,116,109,106,100, 98, 96, 94, 95, 94, 96, 97, 99,102, 105,109,112,116,119,120,124,125,127,127,128,126,126,124,122,122,118,118,114,114,110,111,110,108, 109,109,108,109,109,111,111,114,115,118,120,124,127,130,133,136,139,140,143,143,143,141,140,138, 135,132,128,124,120,115,111,109,106,105,103,102,104,105,107,108,113,115,120,124,128,133,136,141, 146,148,153,155,161,163,168,169,172,173,173,173,171,170,165,162,156,153,146,143,138,133,128,126, 122,120,117,117,115,113,114,112,113,113,114,113,114,115,116,117,119,119,121,119,120,119,119,117, 115,113,111,108,107,106,105,104,104,105,106,107,109,112,114,118,120,125,129,132,138,141,145,149, 151,155,159,160,161,162,160,160,158,156,152,149,143,140,134,131,126,122,119,115,112,109,108,106, 106,104,105,105,108,110,114,117,121,124,129,132,137,142,146,151,154,158,160,163,165,164,164,164, 160,160,155,154,150,149,145,141,138,134,131,127,125,122,119,117,116,116,114,114,114,114,115,116, 116,117,118,116,117,116,116,114,112,109,107,105,100, 99, 94, 93, 89, 86, 84, 83, 81, 82, 81, 83, 84, 87, 91, 94,100,105,109,114,119,122,128,131,134,137,139,141,142,143,142,142,140,137,134,131, 128,124,120,117,114,110,108,105,103,101, 99, 97, 98, 98,101,102,107,111,116,122,128,134,139,142, 148,150,154,157,157,159,158,159,157,158,156,155,154,153,152,150,150,148,148,146,145,142,141,140, 139,140,140,142,142,144,146,147,149,149,150,148,149,146,146,143,141,138,133,131,125,121,117,112, 108,104,100, 97, 94, 92, 90, 88, 87, 86, 87, 88, 92, 93, 98,101,108,112,120,125,130,135,140,144, 148,152,155,158,159,159,160,159,156,156,152,151,147,144,141,138,136,133,129,128,124,124,122,122, 121,122,123,125,128,129,133,134,138,138,141,142,145,146,148,148,149,151,149,151,149,150,148,147, 147,146,147,146,147,147,147,147,148,148,150,150,152,152,155,156,157,158,158,157,157,155,153,151, 149,146,143,140,135,132,127,122,116,111,106,102, 98, 95, 91, 87, 84, 81, 80, 77, 76, 74, 75, 73, 76, 77, 81, 84, 87, 91, 96, 97,103,104,109,111,114,115,117,118,119,119,116,116,113,113,109,109, 106,105,102,102,100, 98, 98, 97, 97, 96, 97, 98, 98,100,101,102,104,104,107,108,112,114,116,119, 121,124,126,127,128,128,127,127,124,126,123,124,121,123,122,124,125,127,128,129,133,134,139,141, 146,148,153,154,159,160,165,165,169,168,170,169,170,169,166,165,160,158,152,149,143,140,134,130, 125,121,117,114,110,108,106,104,103,101,103,103,106,105,108,110,114,115,119,120,124,126,130,132, 134,135,136,137,137,139,139,140,138,139,137,138,137,136,136,136,136,135,135,135,135,137,139,139, 142,141,144,144,147,146,148,148,149,148,148,147,146,144,141,139,137,134,132,131,129,127,126,125, 125,126,126,127,127,130,131,135,138,143,148,151,156,160,165,169,173,174,179,179,183,182,184,181, 180,178,173,171,166,162,155,151,144,140,133,130,125,121,116,114,110,108,108,107,108,107,107,108, 108,109,109,109,109,110,110,111,111,111,110,110,109,107,106,104,103,102,101, 99, 98, 97, 94, 95, 93, 92, 89, 90, 89, 91, 91, 93, 95, 97,101,101,106,105,109,108,111,110,111,111,109,108,105,105, 102,100, 98, 97, 95, 94, 92, 91, 90, 89, 89, 87, 86, 85, 86, 87, 89, 92, 95, 98,104,107,114,117, 123,126,132,135,141,143,148,151,153,156,156,158,158,157,157,155,153,151,149,146,144,141,136,134, 130,127,126,123,122,120,121,120,122,121,121,121,121,121,123,122,124,124,123,124,123,123,121,122, 119,120,116,117,114,115,115,114,115,114,115,114,116,117,120,122,125,129,133,137,141,144,147,150, 152,155,157,159,162,162,163,163,162,161,159,158,153,152,146,145,141,138,134,131,126,125,122,119, 119,117,118,118,122,123,127,129,133,136,139,143,146,150,154,159,163,166,168,172,173,176,176,177, 175,174,174,172,171,170,166,164,161,158,155,152,149,146,145,143,144,142,143,141,142,141,140,140, 140,140,140,140,138,138,137,134,133,129,126,123,120,116,114,110,108,105,103,101, 98, 98, 96, 97, 97, 99,100,103,105,106,110,112,115,115,119,120,125,125,130,130,133,133,134,132,131,127,124,122, 117,114,108,105,101, 98, 94, 91, 89, 86, 85, 84, 84, 83, 86, 86, 89, 88, 92, 91, 96, 96,101,102, 106,107,112,113,117,118,120,121,122,123,121,123,121,123,121,123,122,124,122,124,122,124,123,125, 126,127,129,129,131,131,133,132,135,134,136,134,135,134,135,133,133,130,128,126,121,120,115,114, 108,107,102,101, 97, 96, 93, 91, 90, 89, 90, 90, 94, 95,100,102,108,111,117,121,127,131,135,140, 145,149,152,154,156,157,158,158,157,156,155,153,152,150,148,145,143,140,138,135,134,132,131,130, 131,129,131,130,133,134,135,137,139,139,142,142,146,147,147,148,148,150,148,150,148,149,148,148, 148,147,148,148,148,148,149,149,151,152,155,155,158,158,162,162,165,164,166,166,166,167,167,167, 165,165,162,161,158,154,151,148,144,140,136,131,127,123,118,114,108,106,102,101, 99, 99, 99, 98, 101,101,106,106,111,111,116,117,121,122,125,126,128,129,131,131,132,134,134,134,134,133,133,131, 129,127,122,120,116,114,111,110,108,107,106,107,107,108,110,109,112,112,113,115,116,118,118,118, 119,119,117,118,117,116,115,115,113,113,110,110,108,105,104,102,103,103,105,105,108,109,113,116, 120,122,126,129,131,134,137,139,141,143,144,143,144,143,140,141,136,136,132,128,125,121,116,112, 106,102, 97, 95, 91, 89, 86, 85, 84, 84, 85, 83, 85, 84, 87, 88, 90, 91, 94, 95, 99,100,104,106, 109,112,113,117,117,121,121,124,123,124,122,123,121,123,121,123,123,123,125,126,129,130,133,134, 135,137,139,141,142,144,145,147,147,148,147,148,146,146,143,143,140,140,137,137,134,131,130,127, 127,126,126,126,127,128,132,134,139,142,148,150,156,159,165,167,173,176,178,181,183,185,185,186, 184,183,180,179,175,173,168,165,158,155,149,147,141,139,135,131,130,128,125,124,122,121,120,119, 119,117,120,118,121,121,123,124,126,127,126,127,125,126,123,124,121,119,118,116,113,113,111,111, 110,111,112,112,115,116,117,120,121,122,124,123,126,126,127,128,130,130,132,133,131,132,130,129, 128,126,124,122,120,117,115,113,109,108,104,104,102,102,102,101,104,104,107,107,111,112,116,118, 123,125,129,133,137,139,143,145,147,148,150,151,151,151,150,148,147,144,142,140,136,134,129,128, 125,121,121,118,118,116,114,114,113,112,113,110,112,110,111,111,110,110,108,108,105,105,102,102, 99, 98, 95, 94, 91, 91, 89, 89, 87, 88, 88, 88, 90, 92, 95, 97,101,104,108,110,115,117,122,124, 129,130,135,137,138,141,141,143,142,144,142,143,140,139,135,134,130,129,125,123,120,118,115,113, 113,112,113,112,113,114,116,118,121,121,126,128,134,137,142,145,149,153,156,161,163,166,168,170, 169,171,170,170,169,168,164,164,161,159,158,156,154,153,152,153,152,153,153,153,152,152,152,152, 152,150,149,147,144,144,141,141,139,138,135,134,131,130,127,125,120,118,114,113,109,108,105,105, 104,105,105,108,110,112,115,118,122,123,128,130,132,135,136,138,138,140,140,141,140,139,138,136, 133,132,128,126,121,119,115,114,110,109,106,106,106,104,106,106,108,109,110,112,115,115,119,120, 123,124,127,129,130,133,134,134,136,136,137,136,137,136,135,134,134,135,133,134,133,134,133,135, 135,137,137,138,140,140,142,142,143,144,144,144,144,144,143,143,142,140,138,137,133,131,126,124, 117,115,109,106,101, 99, 95, 91, 90, 87, 88, 86, 87, 88, 89, 91, 94, 96,100,103,106,110,112,116, 118,122,124,127,128,130,131,132,133,133,130,130,127,127,123,123,120,119,116,116,113,114,113,114, 113,114,114,116,116,118,119,120,120,121,123,122,124,124,125,125,126,126,127,127,127,127,127,128, 127,128,129,129,130,131,133,135,135,138,140,142,144,145,147,148,151,152,155,155,159,160,161,163, 163,163,163,162,161,158,156,152,148,143,139,134,131,126,123,119,117,115,114,112,112,110,111,110, 111,110,113,112,116,116,119,120,123,124,128,129,132,132,134,136,136,137,136,135,134,133,132,129, 128,125,124,122,121,119,119,118,117,115,116,115,117,117,119,120,120,121,122,123,124,125,126,126, 126,127,126,127,125,125,124,122,121,119,118,116,115,114,113,112,111,113,113,114,115,118,121,122, 128,129,135,136,141,144,148,150,152,155,155,158,157,159,158,157,156,154,152,150,146,144,140,136, 132,128,124,123,119,117,114,113,111,111,111,109,110,108,110,109,111,111,113,113,116,117,118,121, 121,124,124,124,125,125,125,124,124,123,123,121,121,120,119,120,119,120,120,121,123,122,125,125, 128,129,130,132,133,134,135,136,137,137,138,137,137,136,133,133,129,128,125,121,119,115,112,110, 107,105,104,103,102,104,105,108,111,115,118,123,126,130,135,137,141,142,146,147,151,151,154,155, 156,156,157,157,155,156,153,151,148,145,142,138,135,130,128,124,123,120,121,120,121,119,121,120, 122,121,123,122,124,124,124,126,125,127,126,127,126,126,126,126,124,124,122,120,119,117,117,115, 115,113,115,115,116,116,119,119,123,123,126,126,129,130,131,133,133,136,136,138,138,140,138,139, 137,138,135,134,130,129,125,124,121,118,116,114,111,111,109,110,111,110,113,113,115,117,118,120, 122,123,127,128,132,134,138,140,143,145,146,147,148,148,148,146,146,145,142,142,139,138,135,135, 132,132,132,130,129,130,129,129,129,130,129,130,129,130,130,131,130,131,129,130,129,128,126,126, 123,121,119,116,114,113,110,110,107,106,105,104,105,105,108,108,112,114,116,120,123,124,128,129, 133,135,139,141,144,145,148,149,151,151,152,151,150,149,146,145,142,139,137,133,131,128,126,124, 122,121,120,118,117,117,117,117,118,118,120,121,124,125,130,132,134,138,139,143,144,144,145,143, 143,142,140,140,137,137,136,134,133,132,132,131,131,129,130,129,130,129,129,128,127,128,127,128, 129,129,129,130,129,130,128,129,126,124,123,119,117,114,112,108,106,103, 99, 99, 96, 95, 94, 94, 94, 94, 95, 96, 97, 99,100,102,105,106,110,112,115,118,120,123,124,127,128,129,127,129,128,127, 125,125,122,120,119,116,115,113,112,111,109,109,109,109,111,110,113,113,114,116,118,120,122,123, 126,126,129,130,132,133,133,134,134,133,134,134,133,133,132,131,129,129,128,129,129,128,130,130, 133,133,136,137,138,139,140,142,145,145,148,148,149,151,151,152,152,151,150,148,146,144,139,137, 132,130,125,123,119,117,113,112,109,109,108,108,107,108,108,109,111,111,115,116,120,121,125,127, 131,133,137,138,141,143,143,145,145,146,145,145,143,143,140,140,138,137,135,135,135,134,136,135, 137,136,138,137,139,139,139,140,139,140,139,140,140,140,141,140,141,141,142,142,142,143,141,142, 140,139,139,137,136,134,135,133,136,136,137,137,140,139,142,142,146,146,147,149,149,151,150,152, 151,152,150,150,149,147,146,143,141,138,136,133,130,126,123,119,115,114,110,109,107,105,103,102, 102, 99,101, 99,101,100,100,102,102,105,105,108,108,110,111,112,113,114,112,113,112,110,110,108, 108,106,106,105,103,104,105,104,106,105,107,107,107,108,109,110,111,112,113,115,115,118,119,119, 121,121,121,121,121,119,119,117,117,116,114,113,111,109,110,108,110,110,111,112,113,115,117,120, 121,125,128,129,132,134,138,139,142,144,146,146,148,149,150,150,148,149,147,147,144,144,140,139, 135,134,132,130,128,127,125,125,123,123,122,122,122,122,121,122,121,122,123,123,125,124,126,127, 126,127,127,125,125,124,124,123,122,122,120,121,120,121,121,123,124,125,127,127,130,130,134,135, 137,139,141,142,145,147,149,150,151,154,153,154,153,151,149,147,144,141,138,135,132,130,127,126, 124,123,124,123,124,124,125,127,128,129,132,133,136,139,141,144,147,150,153,156,158,160,162,163, 162,163,162,162,160,159,156,155,152,149,147,144,143,142,139,138,136,135,136,134,134,132,133,132, 132,132,131,132,131,132,132,131,131,130,130,128,127,124,123,122,119,118,115,113,110,109,108,106, 106,103,104,102,104,103,105,104,106,106,107,109,110,112,112,115,115,118,118,120,119,121,120,121, 119,120,117,117,114,113,110,109,106,105,103,102,101, 99, 99, 99, 99, 99, 99,100,100,101,102,104, 106,107,109,112,113,117,119,122,122,125,125,128,127,129,128,129,127,128,127,128,127,129,127,129, 128,130,130,129,131,131,131,131,131,132,131,132,131,131,132,131,132,131,131,131,130,128,128,126, 126,124,123,121,119,119,116,117,114,115,114,115,115,115,117,117,119,120,122,124,125,127,130,130, 133,133,137,138,141,141,144,145,145,148,147,149,148,148,146,145,144,141,140,137,135,132,131,129, 128,127,126,126,125,126,126,127,128,128,128,130,130,132,133,135,135,138,138,141,142,143,144,144, 145,145,145,144,145,144,144,144,144,143,144,143,144,142,144,143,143,143,144,143,144,143,144,144, 145,145,146,147,145,147,145,146,143,143,140,137,136,132,130,127,126,123,120,120,117,117,115,115, 115,113,114,114,115,114,115,115,116,117,118,120,121,123,124,126,127,128,128,128,128,126,126,124, 124,122,121,118,118,115,115,113,113,111,111,109,110,109,109,108,108,107,106,107,107,108,108,109, 109,110,110,111,111,113,113,113,114,114,112,114,113,112,112,111,111,110,110,111,112,112,113,112, 114,114,117,116,119,119,122,122,125,126,129,130,132,134,134,136,135,137,136,134,134,133,131,128, 127,124,123,120,119,117,116,114,114,111,111,110,109,109,108,109,109,110,112,112,115,116,119,120, 123,125,128,130,130,133,133,133,135,134,135,136,135,137,138,138,139,140,141,140,141,141,140,140, 139,138,137,136,137,136,136,136,136,135,137,137,139,139,140,140,141,141,139,140,138,139,137,137, 135,136,136,136,135,136,135,136,136,137,137,138,139,139,140,141,142,142,144,144,146,146,148,149, 149,151,150,152,150,151,151,151,148,148,146,146,143,144,142,140,138,136,134,131,131,128,128,125, 124,124,123,123,122,122,122,122,123,123,124,124,125,126,127,127,127,127,128,127,128,127,127,127, 126,127,125,126,125,125,125,124,125,123,124,122,124,123,123,123,123,124,123,124,126,125,127,127, 127,127,127,127,125,126,123,123,121,121,119,119,118,116,116,115,115,114,115,113,114,112,113,112, 114,112,114,113,115,116,116,118,120,120,122,122,124,126,126,126,127,127,128,128,128,127,127,126, 125,124,122,122,120,119,118,115,115,112,113,111,109,108,107,106,105,106,105,106,105,106,106,108, 107,110,109,111,110,111,110,112,111,112,111,112,112,113,113,114,115,116,118,119,121,123,124,126, 127,129,130,131,133,133,135,135,136,138,138,138,138,138,137,137,136,137,136,134,134,134,133,133, 131,132,132,131,131,130,131,131,132,132,132,132,134,134,136,136,139,140,141,142,145,145,148,148, 150,150,150,150,150,150,148,149,147,148,147,147,147,146,145,145,143,143,142,142,140,140,138,137, 137,134,135,134,132,132,131,132,130,131,129,130,128,128,127,126,126,125,125,124,124,124,123,124, 123,123,123,122,123,123,123,123,124,122,124,123,124,124,124,125,125,126,127,127,128,128,129,130, 129,129,129,128,128,129,127,128,126,128,127,126,126,125,125,123,125,122,123,122,121,121,121,121, 121,120,121,122,121,123,124,124,126,125,127,127,126,128,126,128,127,128,128,130,129,131,130,132, 131,133,132,133,133,131,132,130,131,128,129,128,126,126,125,125,123,123,122,119,119,116,115,114, 111,111,109,108,107,107,107,108,106,107,106,107,106,107,108,107,106,106,107,105,107,106,109,108, 111,111,114,115,118,120,122,123,125,126,127,128,128,128,127,128,127,128,127,127,127,127,126,127, 125,126,125,125,125,124,125,124,124,124,124,125,126,125,127,127,129,129,131,131,133,133,135,135, 137,137,139,139,141,141,142,143,143,144,144,145,146,145,146,145,146,145,146,145,146,146,145,146, 146,145,146,145,145,146,144,145,143,144,141,142,140,140,138,139,136,136,134,134,133,131,131,128, 129,126,126,123,124,121,122,120,120,120,120,119,121,120,122,121,123,124,123,125,124,125,124,126, 126,126,127,128,127,129,128,129,128,129,130,128,129,127,128,126,126,124,125,123,122,122,121,121, 120,121,120,121,120,121,119,121,120,121,121,121,122,122,123,123,124,125,124,126,126,126,128,127, 129,129,131,131,132,132,132,133,133,134,134,135,135,137,137,137,138,138,138,138,138,137,136,135, 134,132,132,130,129,127,125,125,123,123,121,120,121,119,119,118,118,115,116,114,115,114,113,113, 112,113,113,114,114,113,114,114,116,118,117,120,120,123,122,125,125,127,127,127,128,127,129,127, 129,127,126,126,126,123,124,122,123,121,121,122,122,121,122,121,121,121,119,121,119,121,121,121, 121,122,123,124,123,126,125,127,127,128,128,129,129,129,130,130,130,130,131,131,132,132,134,136, 135,137,138,138,139,139,139,139,140,140,141,141,140,142,140,142,140,140,140,139,138,138,136,135, 135,133,133,131,130,129,127,127,126,126,125,125,124,124,123,124,123,124,123,125,125,125,126,126, 127,128,127,129,128,129,130,129,130,130,130,128,129,128,128,128,127,128,127,128,127,129,129,128, 128,127,126,126,125,125,123,124,123,122,123,124,122,124,123,124,123,124,123,124,124,124,125,123, 124,123,124,123,124,123,126,126,128,128,128,130,129,131,131,131,132,132,133,135,135,135,137,138, 138,139,139,138,139,137,138,135,136,133,133,131,130,127,127,125,125,124,123,124,123,122,122,121, 121,120,120,119,119,118,119,118,119,119,120,121,120,122,121,123,124,124,126,126,128,128,128,129, 129,130,130,130,130,131,132,131,130,131,130,130,128,129,127,127,125,126,125,125,123,124,122,123, 121,121,120,121,120,120,121,119,121,120,119,120,120,120,120,121,121,121,121,122,123,122,123,124, 123,125,124,125,124,126,125,128,126,128,128,128,129,129,130,131,131,131,132,130,131,129,130,129, 128,128,127,128,128,126,127,127,126,126,125,123,123,122,121,121,119,121,119,120,119,119,120,119, 120,120,121,120,122,121,123,123,122,123,123,123,123,124,125,124,126,125,126,126,127,126,127,127, 128,128,127,129,128,130,128,130,129,130,129,129,130,129,131,130,131,131,131,129,130,128,129,127, 128,128,127,127,126,127,126,127,126,127,126,127,126,127,127,128,127,129,129,131,130,133,132,135, 136,137,139,140,142,142,142,142,143,141,142,140,141,139,139,137,137,136,134,133,132,130,130,128, 128,127,127,126,126,125,125,126,124,125,124,125,124,125,124,125,125,125,126,124,126,125,127,126, 128,129,130,130,131,131,133,132,134,133,134,135,134,136,135,137,135,137,136,138,137,138,138,137, 138,136,137,134,135,133,133,131,131,131,131,129,130,129,130,129,130,129,129,129,128,129,128,129, 127,129,128,129,128,129,129,128,129,129,130,130,130,129,130,129,131,129,131,129,131,130,130,130, 129,129,130,129,129,128,128,127,127,126,126,125,124,123,123,123,122,122,120,119,120,118,119,117, 117,116,115,114,114,111,112,111,111,111,111,112,111,112,113,112,113,112,113,114,114,115,114,115, 116,118,118,119,119,119,121,121,121,122,121,122,121,121,121,120,121,119,121,119,121,120,122,122, 121,123,122,123,122,123,122,123,122,122,123,122,124,123,124,125,124,126,127,126,128,127,128,128, 127,128,127,128,128,128,128,129,131,131,133,133,135,136,136,137,136,138,138,138,137,138,137,138, 136,137,135,136,135,134,134,133,133,132,130,130,128,127,127,124,125,122,123,122,121,122,122,121, 122,121,122,123,123,124,124,125,126,128,128,130,130,130,132,132,134,133,135,134,136,135,137,136, 136,136,137,135,136,135,136,134,135,134,135,134,133,134,133,132,132,131,132,132,132,133,133,132, 133,133,134,134,135,134,135,135,134,135,135,133,134,133,133,133,132,133,133,134,133,134,133,135, 134,135,135,134,135,134,135,136,134,136,134,136,134,135,135,133,134,132,132,130,130,128,128,126, 126,124,123,122,122,119,119,117,117,115,116,115,113,113,112,113,111,113,113,112,113,113,114,115, 115,114,115,115,116,115,116,116,116,116,116,115,116,116,115,115,115,115,114,115,113,114,113,114, 113,115,114,116,116,117,117,118,119,119,120,121,120,122,121,122,121,122,121,121,121,120,121,119, 121,119,121,119,121,121,120,122,121,123,123,124,125,127,128,130,131,132,134,135,137,139,138,141, 141,142,141,142,141,141,140,140,140,138,138,136,137,136,135,135,134,134,134,133,131,131,130,130, 129,129,128,127,128,127,128,128,127,129,128,129,128,130,129,130,130,130,130,130,130,131,131,131, 132,131,133,133,133,134,135,134,135,135,134,136,135,137,137,137,136,137,135,137,135,136,135,136, 135,135,135,134,133,133,133,132,133,131,132,132,131,131,132,130,131,130,131,130,131,130,131,132, 131,133,133,133,134,136,135,137,137,138,139,139,140,140,141,141,140,141,140,140,139,138,138,136, 135,135,133,133,132,130,130,128,129,128,126,127,125,126,124,125,123,125,123,124,123,123,122,122, 122,120,120,118,119,117,117,115,116,114,115,113,114,112,113,112,112,111,112,111,112,111,112,112, 112,112,113,113,114,115,116,116,117,117,118,117,118,117,118,116,117,115,116,114,113,113,112,112, 112,110,111,109,110,108,109,109,110,110,111,112,111,113,113,115,115,118,118,121,121,124,124,127, 127,129,129,131,130,131,130,131,130,130,130,130,130,128,129,128,128,129,128,130,128,131,129,131, 130,132,131,133,132,133,132,134,133,134,132,133,132,132,131,131,131,129,130,128,128,128,127,127, 126,127,126,127,126,128,127,129,130,130,132,133,135,136,138,139,141,143,143,145,144,146,145,145, 145,143,144,141,141,139,138,136,135,134,133,132,131,131,129,130,128,129,128,129,129,130,129,131, 132,133,134,135,137,138,139,139,141,140,142,140,142,140,141,139,141,139,139,138,137,137,136,136, 134,135,133,134,133,134,133,135,134,134,135,136,135,137,136,138,137,139,138,139,138,138,138,137, 137,135,134,132,132,129,128,126,125,122,122,119,119,118,117,117,117,117,117,118,118,119,119,121, 121,123,122,125,124,126,127,127,128,126,127,126,125,125,124,122,121,120,118,117,115,114,112,111, 111,109,109,108,108,107,108,107,108,108,109,109,110,111,112,113,112,113,113,114,113,114,114,113, 114,112,114,113,114,113,115,113,115,113,114,114,113,114,114,114,115,115,116,117,117,120,119,123, 122,125,125,128,127,130,129,130,130,128,129,127,128,125,126,122,123,120,119,118,117,116,115,115, 114,115,115,115,114,117,117,118,120,121,123,125,127,129,131,132,134,135,137,139,139,141,142,142, 142,142,143,140,141,138,139,137,136,135,133,133,131,131,130,131,130,130,131,132,133,135,134,136, 136,137,138,139,139,140,139,140,139,139,139,138,139,136,137,134,135,132,133,132,131,131,130,131, 130,132,131,133,132,135,135,137,136,140,139,143,142,145,145,145,146,145,146,144,145,143,142,141, 139,138,137,134,134,131,131,129,128,126,126,124,124,123,123,123,122,124,123,126,125,128,127,130, 129,131,131,132,132,132,132,132,132,131,132,130,131,129,130,127,128,125,125,124,123,123,121,122, 120,121,120,122,120,123,123,124,125,126,128,129,128,130,129,130,130,130,129,128,127,126,125,123, 122,120,118,117,115,114,113,113,113,113,111,113,112,114,113,116,117,118,120,121,123,125,125,128, 127,129,129,130,130,130,130,130,130,130,128,128,126,125,124,122,121,118,118,116,115,113,113,112, 112,111,111,112,111,113,112,115,115,117,117,119,118,120,121,120,122,121,122,121,123,122,121,121, 121,121,122,120,122,120,122,121,122,122,121,123,122,124,124,125,127,128,129,132,131,134,135,136, 136,136,137,137,136,137,136,136,135,135,135,132,133,131,129,129,127,127,125,124,125,124,124,124, 124,127,127,130,129,133,133,136,136,139,140,141,141,142,142,143,143,144,143,143,143,142,142,139, 139,137,135,134,133,132,130,130,129,129,128,128,128,129,127,130,129,131,130,132,131,133,133,133, 134,133,134,132,133,131,132,129,130,127,128,125,125,123,123,121,122,121,120,121,120,122,121,123, 123,125,125,126,127,128,130,131,130,131,131,131,131,131,131,130,131,129,130,128,129,127,126,125, 123,122,120,120,118,117,117,116,116,116,116,117,118,120,120,124,124,127,127,131,131,134,135,134, 136,136,136,137,136,136,135,134,133,132,131,130,130,128,128,127,126,126,125,124,124,124,124,124, 125,125,126,126,127,126,127,126,127,126,127,126,125,125,124,124,123,122,121,118,119,115,116,113, 113,112,112,110,111,110,111,111,112,114,113,117,116,120,119,123,122,125,126,126,128,127,129,128, 130,129,129,127,128,127,126,125,123,122,121,120,119,119,117,117,116,117,116,117,116,118,117,120, 119,123,122,126,127,129,129,132,132,134,134,135,136,135,137,136,137,136,136,134,135,133,134,132, 132,131,131,130,131,130,130,130,131,131,132,134,133,136,136,137,138,139,138,140,139,140,139,140, 139,139,139,138,137,134,135,132,131,129,128,127,125,124,122,122,120,121,120,121,120,122,122,125, 125,126,128,128,130,131,132,133,133,135,134,135,134,134,134,132,132,129,130,127,127,124,125,124, 122,122,121,121,120,121,120,121,120,122,122,124,124,126,125,127,126,129,128,130,130,131,133,132, 133,132,134,132,133,131,132,130,131,128,129,127,128,128,126,128,127,129,128,131,130,133,133,134, 135,135,136,138,137,138,138,139,138,139,138,137,137,136,136,133,134,131,131,129,128,127,125,124, 123,122,119,119,117,117,118,118,119,120,121,123,123,125,126,127,127,127,127,129,128,129,129,130, 129,129,129,128,127,125,123,122,120,120,118,118,117,117,115,116,114,115,116,117,118,119,118,120, 120,120,119,121,120,121,121,120,120,118,119,118,118,117,120,120,123,123,126,126,129,129,131,130, 131,131,132,133,135,137,136,140,140,144,146,148,150,152,155,156,157,156,157,155,156,153,151,149, 147,143,141,137,135,131,126,124,120,119,117,118,116,117,115,115,114,114,114,115,118,121,125,128, 132,133,135,134,135,135,134,135,134,135,133,132,130,125,121,117,113,110,106,104,100, 98, 95, 93, 90, 88, 87, 86, 86, 88, 88, 90, 90, 93, 94, 97, 99,103,105,109,112,116,118,120,121,122,122,122, 122,120,119,117,116,114,113,111,110,108,106,106,107,107,107,107,109,109,111,112,114,115,117,117, 119,119,121,122,124,124,127,129,129,131,131,131,130,130,129,127,127,125,124,123,120,120,118,118, 116,118,117,117,117,117,115,116,116,117,118,119,121,122,126,128,132,135,138,140,144,144,147,146, 147,146,146,146,144,144,142,142,139,139,138,139,140,142,144,147,150,154,158,162,166,168,171,173, 173,172,173,170,171,169,167,167,165,164,163,160,159,155,154,149,146,140,136,131,126,124,119,118, 115,113,112,110,109,107,108,108,110,112,112,115,116,119,119,122,123,126,126,127,127,125,126,125, 125,122,123,122,121,120,119,120,119,120,119,119,118,121,121,126,128,134,137,144,147,153,156,161, 163,168,170,174,174,175,173,172,168,166,163,160,161,160,160,161,160,160,157,156,155,153,153,152, 152,151,151,150,150,149,148,148,146,147,146,147,148,148,147,148,147,147,146,145,144,143,141,139, 136,132,126,122,116,111,107,102, 96, 93, 88, 84, 80, 77, 72, 71, 68, 68, 67, 67, 68, 70, 72, 76, 79, 84, 88, 91, 94, 98, 99,101,102,103,102,102,101,101,101,100, 98, 96, 96, 95, 96, 97, 98, 99, 101,101,102,102,103,104,104,103,103,102,102,101,101, 99,101,100,100,101,101,103,105,105,106,109, 110,113,115,116,118,119,121,123,123,123,123,122,122,121,119,120,118,120,119,121,121,124,126,127, 131,133,137,140,141,144,145,146,146,146,144,143,141,136,134,129,127,124,121,121,119,121,121,124, 125,131,135,140,147,152,158,162,167,170,173,175,179,180,184,184,186,185,186,184,184,182,182,178, 177,174,173,169,167,164,161,159,154,152,148,147,142,142,138,137,134,134,132,129,129,127,127,125, 125,122,121,118,117,115,113,112,110,110,108,108,105,103, 99, 98, 95, 96, 94, 95, 94, 92, 92, 91, 91, 91, 92, 94, 99,103,109,115,119,125,129,131,135,137,138,140,141,143,144,143,144,143,141,141, 140,141,141,142,142,142,144,146,146,149,150,153,155,157,158,161,160,162,161,162,162,161,162,163, 162,164,164,165,165,165,165,165,163,163,160,159,155,153,150,146,143,138,135,131,126,122,116,111, 106,103, 98, 97, 95, 93, 91, 92, 91, 92, 93, 95, 96, 98, 99,101,101,101,102,100,100, 97, 95, 93, 90, 89, 86, 85, 82, 82, 81, 82, 80, 82, 83, 85, 86, 87, 89, 89, 91, 91, 91, 92, 91, 92, 92, 91, 93, 91, 93, 93, 94, 96, 97,100,102,105,106,110,112,116,119,121,123,124,126,125,126,125,125,123, 123,121,120,117,116,114,114,113,114,114,117,117,121,120,124,125,126,128,129,130,130,127,126,123, 120,116,113,109,107,106,104,103,105,106,109,111,115,118,123,127,134,138,144,148,153,155,160,161, 164,164,166,166,168,168,170,171,170,170,169,170,169,171,169,170,167,166,163,160,158,156,155,153, 153,152,152,150,150,148,146,145,143,142,141,140,138,137,134,132,129,124,122,118,117,115,115,114, 114,112,111,107,104,102, 97, 96, 93, 92, 89, 90, 89, 90, 90, 94, 97, 99,105,107,111,114,116,119, 121,121,123,122,123,122,121,122,121,120,120,119,121,121,123,126,129,134,136,141,143,147,149,153, 154,154,156,155,156,155,157,156,158,157,160,161,162,162,163,163,165,166,167,169,170,170,171,170, 170,168,166,164,161,158,154,149,145,139,135,130,125,122,118,117,115,116,116,117,118,118,121,121, 123,122,123,122,122,120,120,117,116,114,110,109,106,106,104,104,102,102,102,102,102,104,103,105, 104,105,105,106,106,106,105,104,103, 99, 99, 96, 94, 93, 91, 91, 90, 91, 91, 92, 94, 96, 99,101, 104,107,110,114,116,118,120,121,121,121,122,122,120,121,118,118,117,115,117,116,118,119,121,124, 127,130,132,133,135,135,133,133,131,128,127,123,121,119,115,114,112,111,112,112,115,117,118,122, 125,130,133,138,142,146,150,154,157,158,161,160,162,161,163,164,167,168,171,172,174,172,173,172, 171,171,169,170,169,170,167,167,163,162,160,159,159,158,159,157,158,156,155,152,151,146,145,142, 140,136,136,134,134,132,132,132,130,131,129,129,127,123,120,116,111,109,103,102, 98, 98, 97, 96, 97, 97,100,101,103,107,109,112,115,115,118,119,119,120,119,120,119,119,117,116,113,114,113,115, 115,119,120,124,125,129,130,133,135,136,138,138,140,139,141,140,141,138,139,138,138,137,138,138, 139,141,143,144,148,150,154,156,160,163,166,168,169,170,170,168,167,164,162,158,155,151,147,143, 139,134,133,129,128,125,125,124,123,124,124,124,124,122,122,119,119,118,114,114,110,109,106,105, 102,100, 99, 97, 96, 95, 96, 95, 96, 97, 98, 97, 99, 98, 99, 97, 98, 97, 95, 94, 91, 90, 88, 87, 84, 84, 82, 83, 82, 84, 85, 87, 88, 89, 91, 93, 95, 99,102,104,107,108,110,109,109,106,106,102, 102, 98, 96, 95, 93, 93, 93, 94, 95, 98,101,106,108,113,115,118,119,119,118,118,116,116,113,113, 112,110,107,107,105,105,106,109,111,116,119,123,125,127,130,131,133,134,137,139,142,144,147,148, 151,151,153,154,157,159,162,163,166,166,168,167,167,166,165,164,163,162,161,160,159,157,158,156, 157,156,155,155,153,151,149,147,144,143,141,141,140,141,142,142,143,143,145,146,145,144,144,142, 140,137,136,133,130,128,124,124,121,121,119,119,118,119,120,121,123,125,128,129,130,131,130,130, 128,128,125,125,124,123,121,122,121,123,123,124,126,127,131,133,134,137,138,140,141,141,143,142, 143,141,141,139,140,138,138,137,136,135,134,134,134,136,137,137,140,141,144,146,149,150,153,154, 155,156,154,153,150,148,145,139,136,130,127,122,120,116,115,112,112,111,113,112,114,114,116,116, 118,119,118,120,118,118,116,116,114,114,112,113,111,110,108,108,108,107,108,108,108,109,109,109, 108,107,106,104,104,103,102,100, 98, 98, 96, 96, 93, 93, 92, 92, 91, 93, 93, 97, 98,102,103,106, 109,111,114,115,118,117,118,114,112,107,104, 99, 97, 93, 93, 92, 93, 92, 93, 93, 96, 98,101,104, 109,113,114,118,117,118,117,115,113,112,109,109,107,108,107,108,107,108,108,110,110,112,113,116, 117,120,122,122,125,125,128,130,133,135,139,141,145,150,152,158,160,165,168,170,173,173,175,175, 173,174,172,172,171,171,170,171,171,169,170,168,166,165,164,161,160,157,156,155,154,155,154,156, 157,157,159,159,161,161,161,160,160,158,157,156,152,149,144,141,137,131,129,126,123,121,120,120, 120,122,123,126,127,130,130,133,132,134,134,135,133,134,132,134,133,133,134,134,136,137,137,139, 139,141,141,142,142,143,142,142,142,140,140,138,137,135,133,132,130,130,128,126,126,124,125,125, 126,127,130,134,135,141,144,149,153,156,157,159,159,159,158,156,153,150,146,140,137,131,129,125, 122,121,118,119,118,117,118,117,118,118,120,120,121,122,121,121,119,119,116,116,113,113,111,109, 110,109,108,106,104,103,100, 99, 98, 97, 96, 95, 95, 93, 90, 89, 87, 87, 84, 85, 83, 83, 81, 81, 79, 79, 77, 79, 79, 83, 85, 90, 93, 97,100,102,104,104,107,106,108,107,105,104,101, 96, 94, 88, 86, 83, 81, 82, 81, 84, 84, 88, 90, 95, 97,101,103,107,107,110,110,112,110,111,111,109,110,108, 109,109,108,109,110,111,113,113,116,116,119,120,123,125,125,128,130,132,136,139,143,149,152,159, 163,167,172,175,178,181,181,183,182,182,182,181,179,179,178,178,178,175,175,171,171,167,166,163, 162,158,157,154,153,151,151,151,152,152,154,155,157,160,161,164,164,166,167,165,165,162,161,156, 153,147,144,138,136,130,128,124,123,121,122,122,122,124,124,126,126,127,129,130,130,132,132,131, 132,132,131,133,132,134,134,134,136,137,139,139,141,141,142,140,141,139,140,139,137,137,136,135, 133,132,129,129,127,125,125,124,125,125,127,128,131,134,138,141,144,149,152,157,158,160,160,160, 158,156,152,149,145,141,136,132,127,123,117,113,111,108,108,107,107,109,108,110,109,109,109,109, 110,110,111,110,110,108,108,105,105,102,103, 99, 99, 96, 93, 91, 87, 85, 81, 79, 79, 77, 78, 79, 78, 79, 78, 76, 75, 74, 73, 73, 71, 73, 73, 74, 75, 75, 77, 79, 80, 84, 86, 90, 93, 97, 99,102, 103,104,103,102,102, 98, 97, 94, 91, 88, 87, 85, 85, 85, 86, 88, 90, 94, 97,101,105,109,114,118, 121,125,127,130,131,133,132,132,132,130,131,129,130,129,130,129,129,129,129,130,130,129,128,129, 127,129,128,132,133,137,139,145,148,154,158,161,165,168,171,173,176,177,180,180,180,178,179,178, 177,175,175,173,171,170,168,168,166,165,162,161,158,156,153,152,149,149,148,149,149,150,152,154, 155,158,159,162,164,163,164,161,161,156,154,148,144,140,135,132,129,128,126,125,123,121,122,121, 121,120,120,119,119,119,120,121,122,121,121,121,123,125,126,129,130,134,138,140,145,147,149,150, 150,150,150,151,150,150,145,143,138,136,130,127,119,115,109,106,103,103,102,106,106,111,113,120, 125,132,137,144,152,161,169,179,187,190,194,193,192,190,187,183,177,171,162,153,142,132,119,108, 95, 87, 78, 76, 72, 73, 72, 70, 72, 74, 78, 82, 87, 93, 97,104,110,116,122,127,129,130,131,129, 130,128,129,125,123,118,111,106, 97, 89, 79, 68, 59, 52, 48, 45, 42, 42, 40, 43, 45, 51, 56, 64, 71, 80, 89, 99,111,122,132,141,148,153,157,158,161,159,158,154,150,144,135,124,110, 97, 83, 74, 64, 60, 55, 52, 52, 52, 56, 62, 68, 78, 85, 93, 99,108,117,127,136,144,149,154,159,163,167,169, 171,172,171,172,170,166,159,149,137,129,119,114,108,103,101, 98, 98, 98,102,107,112,118,123,130, 139,148,157,168,177,184,192,196,201,202,205,204,206,206,205,202,198,190,179,168,155,146,135,128, 120,115,109,106,106,109,115,121,125,132,137,147,156,166,174,181,187,190,193,193,191,189,186,180, 176,173,166,159,149,140,128,119,109,102, 95, 87, 81, 76, 75, 75, 78, 83, 85, 91, 94,100,106,114, 121,129,136,142,147,152,156,157,159,161,163,165,168,168,166,163,155,147,137,130,123,117,110,104, 99, 98, 97,100,101,104,107,111,118,125,133,143,151,159,166,173,177,181,182,182,184,182,182,178, 174,167,156,145,132,120,111,102, 94, 86, 78, 75, 71, 72, 74, 76, 79, 83, 86, 94,100,109,116,124, 130,136,141,145,146,146,144,144,144,141,141,136,132,124,113,103, 92, 85, 75, 67, 60, 53, 49, 47, 46, 45, 46, 45, 46, 48, 53, 59, 64, 72, 79, 88, 97,105,111,117,122,126,131,133,137,139,141,138, 134,127,117,111,100, 92, 81, 70, 63, 57, 55, 54, 55, 57, 61, 66, 75, 84, 95,105,114,125,134,143, 150,156,160,163,166,167,171,174,176,177,173,169,161,154,145,137,127,115,107, 99, 95, 92, 89, 90, 90, 93, 98,104,113,121,132,141,153,164,176,184,194,199,205,208,213,215,220,221,221,217,213,206, 200,192,183,172,161,149,139,131,125,119,113,109,108,107,110,114,117,125,132,143,152,163,173,181, 188,190,194,196,198,199,199,194,190,182,174,166,154,144,130,118,109,100, 95, 90, 86, 82, 80, 79, 81, 85, 88, 94,100,108,114,123,130,137,141,144,147,148,153,156,158,161,160,159,156,153,149,142, 136,128,121,114,107,103, 96, 92, 87, 85, 85, 85, 88, 90, 93, 97,103,108,117,123,130,137,144,149, 158,163,172,177,181,183,183,183,181,178,171,161,153,142,135,127,120,115,107,104, 98, 97, 96, 96, 97, 98,102,105,112,117,123,127,129,132,133,136,137,140,140,139,136,133,128,123,115,107, 97, 88, 78, 71, 64, 59, 55, 52, 50, 50, 49, 52, 52, 56, 58, 61, 65, 72, 78, 83, 89, 94, 98,103,110,115, 121,124,126,129,130,132,132,128,123,115,107, 97, 89, 80, 73, 65, 58, 52, 47, 47, 46, 49, 52, 57, 62, 71, 79, 88, 97,102,109,114,119,125,129,132,135,136,138,140,141,141,139,135,128,123,115,110, 104, 97, 93, 89, 85, 87, 86, 91, 92, 98,103,111,121,130,142,149,159,165,173,178,184,187,189,189, 190,190,191,190,189,185,179,172,164,158,149,143,136,130,125,120,118,115,114,113,114,116,122,130, 137,146,154,161,168,176,183,190,196,200,203,206,208,209,209,205,201,192,184,174,165,154,145,134, 122,114,104, 99, 94, 89, 88, 86, 89, 92, 99,105,110,117,122,129,136,142,147,151,153,155,156,156, 157,156,155,154,149,147,142,138,131,127,120,117,112,111,109,110,109,109,111,114,120,125,132,136, 143,148,153,161,168,172,178,182,185,190,194,196,199,198,196,192,188,182,174,167,157,147,137,128, 120,113,107,101, 98, 95, 96,100,104,108,114,120,129,136,145,152,158,163,168,170,175,176,179,178, 175,172,165,159,151,141,131,120,108, 99, 90, 85, 78, 74, 69, 65, 65, 67, 68, 72, 75, 79, 83, 86, 92, 95,100,101,104,104,107,107,108,110,110,110,108,107,105,101, 97, 90, 83, 76, 69, 64, 56, 51, 44, 41, 38, 36, 39, 43, 48, 55, 63, 73, 83, 95,105,115,126,133,141,147,154,158,164,165,167,167, 165,162,155,149,140,131,120,113,103, 96, 87, 80, 72, 68, 63, 64, 64, 68, 72, 80, 87, 97,107,116, 127,134,143,150,160,167,174,181,186,189,192,193,194,193,190,185,182,177,174,170,163,159,153,148, 145,142,142,141,140,142,142,144,148,150,156,158,163,164,170,173,178,180,181,182,181,181,179,174, 169,162,152,141,130,120,109,100, 90, 82, 74, 70, 66, 66, 65, 67, 72, 77, 85, 92,103,111,122,129, 138,144,152,157,164,168,171,173,175,173,172,167,160,152,145,136,128,120,110,104, 96, 92, 87, 87, 85, 86, 86, 89, 91, 97,102,106,113,116,121,125,130,135,141,145,151,154,160,163,167,169,169,169, 167,164,161,157,153,148,143,138,134,130,129,126,126,125,128,130,135,139,145,148,153,156,161,164, 170,172,174,177,178,179,179,176,172,166,158,148,139,129,117,107, 94, 85, 75, 66, 60, 55, 50, 50, 48, 51, 55, 62, 70, 75, 83, 87, 94, 99,103,107,109,111,112,115,116,118,118,119,117,117,114,113, 110,106,103, 98, 92, 86, 79, 75, 68, 64, 59, 55, 55, 55, 59, 63, 66, 71, 74, 79, 84, 89, 94, 99, 102,108,111,116,118,119,120,119,118,116,114,112,110,108,102, 99, 93, 90, 86, 84, 80, 81, 80, 84, 88, 92, 99,104,111,118,127,134,143,148,156,160,167,171,175,178,179,178,177,174,169,166,160,155, 147,141,134,131,127,125,121,120,118,119,119,123,125,130,134,137,143,148,152,157,160,164,168,173, 178,183,187,191,193,193,194,192,191,189,184,180,174,168,162,155,149,142,136,131,129,127,127,127, 129,130,133,136,139,139,142,142,146,146,149,149,153,154,154,154,152,149,146,141,137,129,123,116, 109,105,101, 97, 95, 94, 95, 97,103,108,115,122,129,136,143,148,153,157,161,164,167,169,173,174, 177,176,176,174,172,171,167,164,158,152,146,140,135,128,123,116,112,109,106,106,106,109,110,114, 118,120,123,126,128,131,134,137,142,146,151,153,157,159,160,161,159,158,153,149,142,137,130,124, 117,110,104, 99, 96, 93, 93, 93, 96,100,104,111,115,121,125,128,132,132,135,135,136,133,130,123, 119,112,107,101, 93, 88, 81, 74, 69, 63, 58, 52, 47, 42, 39, 37, 37, 37, 41, 44, 49, 53, 58, 65, 72, 79, 86, 94,102,109,116,124,129,134,137,141,143,146,145,145,141,138,133,128,123,117,111,106, 99, 95, 89, 86, 81, 80, 78, 79, 80, 82, 84, 87, 89, 91, 95, 97,103,106,112,117,121,126,129,134, 135,137,135,133,131,128,126,123,121,118,117,116,116,117,120,125,129,137,143,151,159,164,172,176, 182,185,191,194,199,201,205,205,207,206,207,204,202,198,192,188,182,175,169,162,153,147,138,131, 124,117,113,109,108,107,107,111,113,117,120,122,127,130,137,140,146,149,155,159,165,168,171,172, 172,172,170,167,163,158,152,145,137,130,123,119,114,113,110,112,114,118,122,127,130,135,137,141, 145,146,147,148,147,147,146,145,143,140,138,135,130,128,123,120,115,113,108,105,101, 98, 97, 96, 97, 99,104,109,117,123,131,137,145,151,156,163,168,173,178,181,187,189,193,193,195,193,192,188, 185,179,173,166,156,148,137,127,117,106, 97, 88, 82, 76, 74, 72, 71, 72, 72, 75, 79, 83, 90, 95, 102,105,111,112,116,116,118,116,116,113,111,108,103,100, 94, 91, 85, 83, 80, 77, 76, 75, 75, 76, 77, 81, 85, 88, 93, 97,100,105,108,110,114,114,118,118,121,121,122,120,119,116,111,107,100, 95, 88, 83, 75, 70, 63, 59, 53, 50, 44, 44, 43, 47, 50, 55, 61, 67, 73, 80, 86, 94,100,108,115,123, 130,136,144,151,156,162,164,168,170,171,170,168,164,160,154,148,140,135,128,124,119,118,119,120, 124,127,132,135,141,144,149,152,157,160,164,166,169,173,174,176,175,175,174,173,171,168,165,161, 157,155,150,147,142,140,136,135,134,136,137,141,144,147,153,158,162,168,172,177,181,184,187,190, 193,193,194,192,192,188,186,182,175,169,159,152,141,130,120,107, 96, 85, 77, 70, 64, 62, 61, 62, 65, 70, 76, 83, 92,100,109,118,127,136,145,153,160,165,169,172,175,176,177,176,175,172,169,164, 160,154,146,141,133,130,125,124,122,124,124,127,130,132,136,138,142,143,146,149,151,153,153,154, 154,152,153,152,149,148,143,140,135,131,124,120,113,108,102, 97, 93, 90, 85, 85, 83, 84, 85, 87, 93, 98,105,110,119,125,134,141,150,157,164,169,173,174,175,172,169,162,154,146,135,124,111,100, 86, 74, 62, 51, 43, 35, 31, 29, 27, 28, 28, 31, 33, 37, 39, 45, 50, 57, 63, 71, 77, 84, 89, 96, 100,105,108,111,111,113,112,110,108,104,101, 96, 90, 87, 83, 81, 81, 81, 83, 85, 90, 94, 99,103, 109,112,117,121,125,129,131,134,136,138,139,140,140,140,138,137,134,131,126,122,114,108, 99, 90, 83, 76, 72, 70, 67, 70, 72, 79, 86, 93,103,113,123,135,146,157,169,178,190,198,208,213,220,223, 227,228,227,227,223,221,215,209,201,192,182,174,164,156,148,142,136,134,132,130,130,129,131,132, 134,136,140,142,145,148,150,154,157,157,160,160,162,162,162,162,162,159,157,151,146,139,134,128, 123,118,115,111,111,111,112,114,117,121,126,131,139,145,153,159,167,172,176,180,182,183,182,181, 178,175,169,165,156,147,137,126,116,105, 96, 86, 79, 73, 68, 67, 67, 69, 72, 78, 84, 92,100,108, 116,124,134,142,153,162,170,178,184,188,191,194,196,196,196,194,191,188,182,177,171,164,156,150, 143,138,132,129,123,121,116,113,110,106,103,103,102,103,105,107,109,111,113,113,115,114,116,116, 115,113,109,103, 96, 88, 81, 71, 64, 58, 52, 49, 46, 47, 47, 51, 54, 60, 64, 71, 78, 84, 92, 99, 108,115,123,128,135,138,142,144,145,145,144,141,138,132,126,117,108, 97, 87, 75, 65, 55, 49, 42, 38, 35, 35, 35, 37, 39, 44, 48, 54, 60, 68, 76, 83, 91, 99,107,113,120,125,131,137,142,146,149, 151,152,150,150,145,142,138,132,129,124,122,119,119,118,120,122,123,128,131,137,142,147,154,160, 168,173,179,182,186,187,189,188,188,185,183,179,175,169,161,154,144,136,128,122,116,111,109,108, 109,111,114,120,125,131,139,146,155,164,173,181,190,196,203,207,212,214,217,216,217,215,214,209, 203,197,188,181,171,160,151,140,131,121,114,105,100, 93, 90, 86, 85, 85, 84, 87, 89, 94, 98,105, 111,118,124,131,137,141,146,150,153,156,157,159,156,155,151,145,140,135,130,127,124,122,123,124, 127,129,132,135,138,142,146,153,158,165,171,175,180,182,183,183,181,180,177,172,168,162,153,145, 135,124,113,104, 94, 87, 81, 75, 72, 69, 68, 68, 70, 71, 73, 76, 79, 84, 88, 94,101,106,114,120, 129,135,143,148,156,161,167,170,170,170,167,161,155,145,136,127,115,106, 96, 88, 80, 76, 70, 67, 63, 62, 59, 60, 61, 61, 65, 66, 70, 73, 77, 80, 82, 85, 88, 90, 94, 95, 98, 98, 97, 96, 92, 89, 83, 78, 73, 66, 62, 57, 55, 54, 56, 58, 60, 66, 70, 77, 83, 91, 98,107,114,123,130,137,143,146, 151,152,156,157,156,157,154,152,147,140,133,125,114,106, 95, 87, 78, 72, 65, 62, 58, 56, 54, 55, 56, 61, 65, 72, 79, 89, 99,111,121,133,144,153,164,172,183,191,198,204,208,211,211,211,208,205, 200,194,189,182,178,173,171,166,165,163,162,162,161,163,164,167,169,173,175,179,181,183,184,184, 183,182,181,177,175,171,166,163,157,152,145,138,130,125,120,116,113,110,110,108,109,108,110,111, 115,118,125,131,139,146,154,161,168,173,178,182,189,193,198,201,201,202,199,194,188,179,168,158, 146,137,126,116,108,100, 92, 86, 81, 77, 74, 73, 72, 75, 77, 83, 87, 95,102,109,117,124,132,139, 146,151,156,159,161,161,160,158,155,151,147,143,139,135,134,132,133,133,135,135,137,139,139,142, 143,144,146,147,147,148,148,146,147,146,147,146,146,144,142,140,135,131,123,117,107, 99, 89, 81, 71, 65, 58, 52, 49, 46, 46, 44, 46, 48, 51, 54, 61, 66, 75, 81, 90, 95,104,112,118,126,131,138, 142,147,150,152,150,149,144,140,131,124,115,106, 98, 90, 83, 77, 71, 65, 62, 58, 57, 57, 58, 60, 62, 66, 69, 74, 78, 83, 87, 92, 95,100,103,107,110,113,113,115,114,111,109,105,103, 98, 96, 94, 94, 93, 93, 95, 96, 98,100,102,106,109,115,120,127,133,139,147,153,161,167,173,177,183,185,188, 191,191,190,188,182,177,168,161,152,144,137,130,125,120,116,113,110,108,107,107,111,114,121,128, 135,144,152,162,171,178,187,193,201,206,212,214,217,217,215,212,208,202,197,191,187,180,176,170, 166,161,155,150,145,141,137,135,133,131,129,127,126,124,122,122,121,122,122,122,124,125,127,129, 128,129,126,124,121,117,112,109,104,101, 97, 97, 95, 96, 95, 96, 98,100,103,105,111,115,121,127, 134,140,148,154,160,167,173,179,183,188,189,190,187,184,177,170,161,151,140,131,120,113,106, 99, 95, 92, 89, 89, 88, 90, 91, 94, 96,100,103,108,111,115,118,122,126,129,135,138,144,147,151,152, 155,154,154,151,149,144,141,137,134,131,127,124,121,118,114,113,111,111,110,110,111,110,111,110, 112,110,112,110,111,109,110,109,109,107,106,103,100, 95, 90, 84, 77, 73, 66, 62, 57, 52, 49, 45, 45, 45, 45, 48, 51, 54, 61, 67, 75, 82, 91, 99,107,116,123,131,137,144,149,154,155,158,157,156, 152,148,141,134,127,121,114,109,103, 97, 93, 89, 84, 81, 78, 75, 75, 74, 76, 76, 79, 81, 86, 88, 94, 99,105,111,119,126,132,139,145,149,152,153,154,154,154,155,155,156,154,155,153,154,155,154, 156,156,160,161,164,167,169,174,177,183,187,193,197,201,207,208,210,208,208,204,200,194,185,177, 167,159,149,142,133,125,119,113,109,104,103,101,101,101,102,103,107,110,116,120,125,130,134,140, 145,151,156,162,166,172,175,178,178,178,175,174,170,166,163,158,155,149,146,141,136,133,129,126, 121,118,115,111,111,108,108,106,107,107,109,110,113,116,121,125,131,135,138,139,139,139,136,133, 129,126,121,117,115,111,110,108,110,110,114,116,122,126,133,140,145,152,156,162,167,171,175,177, 178,180,181,182,181,177,174,168,162,155,148,139,131,124,114,108, 99, 93, 87, 81, 77, 72, 70, 67, 67, 68, 68, 70, 72, 76, 80, 85, 89, 94, 99,102,109,113,119,122,126,128,131,131,131,129,129,126, 125,121,119,115,111,109,104,101, 97, 95, 92, 91, 89, 89, 88, 89, 89, 91, 92, 94, 95, 98,101,102, 106,107,109,108,108,105,102, 97, 93, 88, 85, 80, 77, 73, 69, 68, 66, 66, 65, 68, 69, 74, 77, 83, 87, 91, 97,101,108,113,121,126,134,141,147,155,160,164,170,172,174,174,173,172,168,165,160,156, 151,145,141,136,131,127,124,120,118,114,112,109,109,109,111,113,116,118,124,129,136,143,149,158, 163,169,173,176,177,178,176,176,173,171,168,164,162,159,157,153,153,151,153,154,154,157,158,161, 164,165,168,168,170,170,172,171,171,172,171,171,169,165,161,155,151,145,137,131,125,118,113,107, 104, 99, 96, 94, 94, 93, 94, 95, 98,100,105,108,112,114,119,122,127,132,137,143,149,157,162,169, 173,179,182,184,185,184,183,181,177,172,165,160,151,145,138,133,128,123,120,117,116,114,116,116, 118,119,122,123,126,127,131,133,137,137,139,138,139,137,134,133,129,126,124,121,119,116,113,112, 110,110,110,109,110,110,112,114,117,119,124,127,130,132,135,137,141,142,146,146,148,147,146,143, 139,133,128,121,116,110,103, 97, 89, 84, 76, 72, 67, 62, 57, 55, 52, 51, 49, 49, 48, 50, 52, 53, 58, 61, 68, 74, 82, 89, 97,103,110,115,121,125,127,130,131,130,131,128,127,123,122,118,117,115, 112,112,110,108,107,105,105,104,103,104,102,102,101,102,102,102,103,103,105,105,107,107,107,105, 104,102, 98, 98, 94, 94, 93, 91, 93, 93, 95, 98,100,104,107,112,115,120,124,129,133,138,143,148, 154,161,167,173,181,187,195,200,203,206,206,207,205,204,199,196,190,183,176,167,160,151,145,138, 134,129,125,123,121,121,121,122,123,125,128,131,135,138,142,147,151,155,158,161,162,162,162,160, 160,157,155,152,150,146,145,142,139,139,137,138,137,140,141,143,146,147,149,150,152,152,153,152, 153,153,152,153,152,150,149,147,144,143,140,138,135,133,128,126,121,116,113,108,105,101, 99, 95, 95, 94, 95, 97,100,104,109,114,120,127,134,142,150,159,167,173,180,184,187,188,187,188,185,183, 179,174,170,163,158,151,146,140,134,127,122,118,113,111,106,104,101,100, 98, 98, 97, 99,100,102, 105,107,109,110,110,111,110,111,109,108,107,103,101, 96, 94, 91, 88, 88, 86, 87, 86, 88, 89, 92, 93, 95, 97,100,102,105,107,108,111,112,116,117,121,122,124,127,126,127,124,122,119,114,109,103, 97, 90, 84, 77, 72, 65, 60, 55, 52, 51, 49, 50, 50, 53, 55, 59, 62, 66, 70, 76, 81, 87, 93,100, 105,112,117,123,126,131,132,135,135,136,134,132,131,128,127,126,125,124,125,126,128,129,131,132, 133,134,136,136,135,137,137,139,139,142,144,145,148,150,150,153,153,156,155,156,154,154,152,150, 149,145,143,139,137,135,134,133,134,134,137,139,143,146,151,155,162,166,174,179,186,191,198,201, 205,206,208,208,206,204,199,195,188,181,174,165,157,147,139,130,123,116,111,106,103,100,101,101, 101,104,106,110,113,116,122,125,131,135,137,141,143,146,148,149,151,150,152,153,152,153,152,153, 151,151,150,148,148,147,147,145,145,143,143,142,143,142,144,144,147,149,154,157,161,163,165,166, 166,167,165,163,158,155,148,144,137,130,124,117,112,107,102,100, 96, 95, 93, 93, 91, 93, 94, 98, 101,106,110,117,123,130,136,143,148,155,159,164,167,169,167,167,163,160,156,149,142,135,128,120, 113,105, 98, 92, 86, 82, 78, 75, 73, 71, 69, 66, 65, 63, 64, 64, 67, 67, 71, 73, 75, 77, 81, 82, 85, 85, 87, 87, 88, 87, 87, 85, 84, 81, 80, 77, 76, 74, 75, 74, 74, 77, 78, 83, 85, 89, 94, 97, 103,108,112,117,121,125,128,132,134,137,137,137,135,134,130,126,120,113,105, 98, 91, 84, 77, 71, 68, 65, 64, 62, 64, 66, 69, 73, 76, 82, 87, 93,101,108,117,125,132,140,147,155,162,168,173,178, 183,186,188,190,189,190,188,187,185,181,179,175,170,167,163,158,156,152,150,148,144,145,144,145, 146,148,150,153,155,158,161,163,164,166,166,167,166,163,162,158,155,150,146,140,136,131,127,121, 118,115,114,114,113,115,116,121,124,131,137,145,153,159,168,174,181,186,188,192,192,193,191,189, 186,180,176,169,162,154,148,140,135,128,123,118,112,110,106,104,100, 99, 97, 98, 98,100,103,105, 110,114,121,127,134,142,148,156,162,166,170,173,174,175,173,173,170,169,165,163,159,155,151,149, 146,143,141,139,138,136,135,133,133,132,133,133,135,137,138,140,140,141,141,139,139,136,134,129, 125,119,113,105, 99, 91, 84, 76, 71, 65, 62, 59, 58, 55, 56, 56, 59, 60, 65, 68, 74, 80, 85, 92, 98,104,110,115,120,123,128,130,133,133,133,133,130,128,124,120,114,108,100, 92, 87, 79, 75, 68, 64, 61, 58, 56, 55, 56, 57, 59, 61, 65, 69, 72, 76, 81, 85, 90, 94, 99,104,108,109,112,111,112, 111,111,107,106,101,100, 97, 94, 93, 91, 92, 92, 94, 96,100,104,107,114,118,125,130,138,143,149, 153,159,161,166,167,170,169,170,168,165,163,159,157,153,147,143,138,135,130,126,123,119,118,115, 114,112,113,114,115,119,122,128,134,140,148,154,162,168,176,183,188,194,196,200,202,204,203,204, 200,199,194,190,186,179,174,166,160,153,145,139,133,129,124,122,119,120,121,122,126,128,132,136, 139,144,147,150,150,150,148,148,146,143,141,137,134,130,128,125,122,121,119,120,120,121,121,125, 126,129,131,134,137,141,147,151,157,162,168,173,178,182,185,188,189,190,189,189,186,183,179,171, 166,157,151,143,136,129,122,114,109,103, 99, 96, 92, 91, 89, 90, 91, 94, 96,101,104,110,114,121, 126,131,136,140,144,147,150,151,152,151,150,146,142,140,134,131,125,121,117,112,109,104,101, 99, 96, 95, 93, 93, 95, 95, 97, 97, 99,102,102,103,103,103,103,102,101, 98, 97, 94, 92, 89, 84, 80, 75, 72, 66, 63, 59, 55, 54, 53, 53, 53, 54, 57, 59, 64, 68, 74, 80, 85, 93, 99,108,115,121,128, 132,138,141,146,148,149,150,148,146,142,138,131,126,118,111,103, 96, 89, 84, 77, 74, 69, 67, 65, 67, 67, 70, 73, 78, 82, 89, 95,102,108,115,120,126,130,135,139,143,146,148,150,151,151,152,152, 153,152,154,154,156,155,157,157,156,158,158,159,161,161,163,164,166,169,170,174,176,176,178,179, 178,179,176,177,175,173,170,167,163,160,154,150,144,140,135,131,127,122,119,116,113,111,110,110, 111,112,117,121,129,135,143,150,156,164,170,175,181,186,188,191,191,190,188,184,181,175,169,165, 159,155,150,146,140,136,132,127,125,120,119,117,114,114,114,115,114,116,117,119,120,123,124,128, 129,133,133,136,136,138,137,137,135,133,133,131,131,129,129,128,127,128,127,128,131,130,134,134, 138,139,143,145,149,152,152,155,155,158,157,159,157,157,155,153,150,145,141,135,128,123,116,110, 102, 96, 89, 84, 78, 74, 71, 68, 66, 65, 65, 67, 71, 74, 80, 83, 89, 93, 98,102,107,110,114,118, 119,124,126,127,127,126,126,123,122,118,116,112,110,105,104,100, 98, 95, 92, 90, 87, 87, 86, 87, 88, 89, 90, 92, 92, 95, 95, 98, 98, 99, 99,102,102,104,103,103,102,100, 99, 96, 95, 91, 89, 85, 84, 80, 80, 77, 78, 77, 77, 80, 82, 87, 92, 98,106,112,121,128,136,143,149,154,159,162,166,167, 169,169,168,165,163,159,156,151,149,144,141,136,135,130,129,124,123,119,118,116,115,117,118,122, 124,129,132,137,141,144,148,151,155,160,163,166,170,171,173,174,176,175,177,176,178,176,177,175, 174,171,170,166,164,160,159,156,155,154,153,151,152,151,153,153,154,155,155,157,158,157,157,155, 153,150,144,141,136,130,125,119,116,111,107,104,103, 99, 99, 97, 98, 98,101,102,107,110,114,120, 125,131,136,140,145,149,154,159,161,166,167,171,170,172,171,169,168,164,162,158,153,150,146,142, 138,132,129,124,122,117,115,114,112,113,113,113,113,114,112,114,114,117,118,122,122,126,127,130, 130,131,132,131,132,130,130,127,128,126,124,122,118,116,115,113,114,113,115,116,119,121,124,125, 128,128,130,131,130,132,132,132,132,130,128,124,122,118,112,108,102, 97, 93, 87, 84, 77, 74, 69, 67, 64, 62, 60, 60, 61, 62, 66, 69, 74, 77, 82, 86, 91, 96,102,105,113,116,123,127,131,135,138, 140,141,141,141,139,139,137,134,132,126,123,117,112,106,102, 97, 95, 92, 92, 91, 92, 92, 93, 95, 94, 98,100,104,105,110,111,114,114,117,116,117,116,115,116,116,118,118,120,120,121,122,123,124, 126,128,132,134,138,143,147,152,157,161,164,170,172,177,179,181,182,183,183,182,181,180,176,174, 169,166,163,158,155,150,148,143,140,135,133,127,125,120,119,116,115,114,113,114,115,114,117,118, 122,125,129,134,136,143,146,152,154,156,158,158,158,159,157,157,155,153,151,150,147,145,143,140, 140,138,139,139,139,140,140,141,141,140,141,140,139,139,138,137,137,136,135,133,131,130,127,125, 125,122,122,120,119,118,117,116,115,115,115,115,117,120,123,125,130,132,137,140,142,147,149,153, 155,158,159,161,163,164,164,163,163,161,160,158,155,153,148,144,139,133,128,121,115,109,104, 99, 96, 94, 93, 92, 91, 91, 91, 92, 93, 93, 95, 96, 98,100,101,105,105,108,109,110,112,112,114,114, 114,114,114,114,113,112,111,109,108,107,107,108,109,110,113,113,115,117,117,118,118,119,118,119, 119,119,119,118,117,115,114,112,111,109,108,106,104,102, 99, 97, 93, 90, 87, 84, 82, 80, 79, 79, 78, 79, 80, 83, 85, 88, 92, 97,101,108,112,120,124,131,134,140,143,148,149,152,152,153,152,152, 151,150,148,146,144,139,138,133,133,129,129,127,126,126,125,126,126,127,126,128,128,130,129,132, 131,134,132,134,133,133,132,132,131,131,131,132,133,134,135,135,136,136,139,141,143,146,147,150, 151,154,155,157,157,159,158,160,160,162,163,165,166,166,167,166,166,163,163,159,157,153,149,144, 139,134,128,123,118,114,111,107,106,105,104,106,106,109,110,111,114,117,120,125,127,132,135,137, 141,143,146,148,149,152,152,155,155,157,157,157,156,155,155,153,153,150,151,148,149,147,149,147, 148,146,146,145,144,144,142,141,140,138,136,133,131,129,127,126,122,122,119,119,118,116,116,113, 113,111,111,110,109,109,109,110,112,113,117,118,122,124,126,130,132,135,138,140,143,144,146,147, 146,147,145,145,143,140,140,137,133,129,124,119,114,109,104,100, 96, 91, 90, 86, 86, 84, 83, 83, 81, 83, 83, 84, 85, 87, 88, 91, 90, 94, 94, 98, 98,101,102,104,108,109,113,114,118,119,122,124, 126,127,129,128,129,129,129,129,130,127,128,125,124,122,121,120,117,118,117,117,116,117,115,115, 113,111,110,108,108,106,103,102,100, 98, 97, 94, 94, 92, 93, 91, 94, 96, 99,100,104,106,111,115, 118,124,127,133,136,142,145,151,154,157,159,161,162,163,164,164,164,162,161,159,157,154,152,149, 147,145,145,142,142,140,140,140,138,137,134,134,131,131,128,128,125,126,125,125,125,125,126,126, 129,130,131,133,134,135,135,136,136,136,135,136,135,136,136,138,140,141,144,145,148,151,153,154, 156,157,158,160,159,162,159,160,157,158,155,153,151,148,146,142,140,136,134,130,126,123,121,117, 115,112,113,111,113,112,115,116,120,122,124,128,130,134,137,140,143,145,147,148,150,151,153,155, 155,158,157,159,158,158,157,156,154,153,150,148,147,144,143,139,137,134,133,130,129,126,124,122, 121,119,117,116,112,112,109,109,106,107,105,106,105,103,104,103,102,101,101,100,100, 97, 99, 98, 98, 99,100,103,106,108,111,115,116,120,122,126,127,132,133,134,135,136,136,135,134,134,131,130, 128,124,123,119,118,114,110,107,105,102,100, 98, 97, 95, 94, 91, 92, 89, 89, 87, 86, 86, 86, 87, 87, 90, 89, 93, 93, 98, 98,103,104,108,110,113,115,116,120,121,121,122,123,124,125,126,128,127, 130,130,133,132,135,135,135,137,136,139,139,140,139,140,137,139,136,137,135,135,133,131,129,126, 125,121,120,116,114,111,110,109,109,108,110,110,114,116,121,123,128,131,135,139,141,146,148,151, 153,155,157,158,160,162,162,164,164,164,163,164,162,161,160,155,155,150,149,144,142,137,135,130, 129,126,124,122,119,119,118,117,117,118,117,119,118,121,121,122,124,124,126,127,128,130,131,133, 133,134,136,135,138,137,140,139,143,142,146,146,149,150,154,156,158,161,161,165,165,167,167,167, 166,166,164,162,159,158,154,152,148,145,141,135,133,128,126,121,119,114,113,110,108,107,106,107, 108,107,109,109,111,112,114,117,117,121,122,127,128,131,133,135,136,138,140,141,144,144,143,143, 143,140,140,136,135,132,129,127,125,123,120,118,115,114,111,111,109,109,106,106,103,104,101,101, 98, 99, 97, 96, 96, 94, 94, 93, 91, 91, 89, 89, 88, 88, 89, 88, 91, 92, 95, 98,102,104,110,112, 117,119,124,128,129,132,132,136,135,137,138,138,138,138,138,137,137,134,134,130,128,124,122,117, 115,110,108,103,101, 97, 97, 94, 95, 93, 94, 94, 95, 95, 98, 98,100,103,103,108,109,114,115,120, 122,128,131,134,137,139,142,143,145,146,145,145,145,143,142,141,141,141,140,141,142,142,143,145, 145,147,148,149,147,149,147,148,145,145,141,141,138,136,134,132,130,128,127,125,122,121,119,118, 117,116,116,114,117,115,118,118,121,122,126,129,131,134,137,140,144,148,150,155,156,160,162,165, 166,167,168,167,167,166,164,163,160,158,154,151,147,144,141,135,133,128,127,123,123,121,121,119, 120,121,120,123,123,126,127,130,131,133,135,136,138,138,139,141,141,143,143,143,142,142,142,142, 143,142,142,143,143,143,145,145,147,146,148,148,148,149,148,150,148,148,145,146,143,143,140,139, 135,133,130,126,123,119,115,112,108,104,103, 98, 97, 93, 93, 89, 90, 88, 89, 88, 90, 91, 92, 95, 96,100,101,106,107,112,113,119,120,126,127,131,133,134,135,135,135,133,132,128,128,124,124,119, 119,115,115,113,112,112,112,110,111,109,110,109,109,108,107,106,105,105,105,104,104,104,104,103, 104,102,103,103,101,101,100,100,100,100,101,100,102,102,106,106,110,112,116,119,121,125,128,130, 132,134,136,138,140,141,143,144,146,147,146,148,147,147,145,143,140,137,134,128,126,119,117,111, 110,105,104,102,100,101,100,103,104,108,110,113,116,119,122,126,130,133,135,140,142,146,147,150, 151,153,153,154,154,154,155,153,154,151,152,150,150,150,149,149,148,147,145,144,144,142,141,139, 139,138,137,137,136,136,133,134,132,132,131,129,129,126,126,123,123,121,121,119,118,118,118,119, 120,119,122,123,124,127,129,133,135,140,142,147,149,155,156,161,164,166,170,172,173,174,173,173, 172,168,167,163,159,155,150,146,142,136,133,127,125,122,118,117,115,115,113,112,111,111,112,112, 113,115,116,118,118,120,121,123,124,123,125,124,126,126,126,126,126,124,125,124,125,125,125,126, 126,127,128,128,130,129,130,130,129,130,129,130,129,130,129,129,129,128,129,127,126,124,122,118, 116,112,109,104,100, 94, 92, 88, 87, 84, 84, 83, 83, 85, 86, 90, 92, 94, 98,103,105,111,114,118, 122,126,130,133,136,138,142,143,143,144,144,143,142,140,137,135,131,128,125,122,118,116,113,111, 109,107,105,105,102,103,101,103,101,102,101,102,102,103,105,106,109,110,113,114,117,118,120,121, 122,123,123,124,124,125,124,124,123,124,123,125,125,128,128,131,132,134,137,139,142,144,147,150, 150,154,154,156,156,155,156,154,153,150,146,143,139,136,132,129,127,123,120,118,117,115,113,113, 111,111,112,111,113,114,115,119,119,124,125,130,133,138,141,146,149,151,153,154,156,156,157,157, 157,157,157,156,156,153,154,151,151,148,148,146,143,142,139,138,136,134,133,132,132,133,131,133, 133,135,135,135,137,135,137,135,134,133,132,129,129,127,127,124,123,123,122,122,123,122,124,124, 126,128,128,133,133,137,139,142,144,148,149,151,154,155,156,156,155,154,152,149,146,143,139,135, 131,126,123,119,116,112,110,107,106,103,102,101, 99,100, 99,100, 99,100, 99,102,103,104,107,109, 112,114,118,120,123,124,125,126,126,127,127,125,126,124,122,122,120,120,119,119,118,119,118,120, 120,122,123,123,124,124,126,127,128,129,129,130,130,128,129,127,124,123,119,117,115,111,109,104, 103, 98, 97, 93, 93, 91, 92, 91, 92, 93, 95, 98, 99,104,105,110,112,117,119,124,127,131,133,137, 139,142,143,145,145,146,145,146,145,143,143,141,138,136,132,130,127,124,120,116,115,112,111,109, 108,107,107,108,107,110,110,114,115,120,122,126,127,130,131,132,133,133,135,134,135,133,134,132, 133,133,132,133,133,135,136,137,137,140,141,142,143,144,146,148,150,151,153,153,156,155,157,157, 155,154,152,150,148,144,142,137,135,131,129,125,124,120,119,117,114,114,112,113,112,113,111,113, 113,116,116,120,121,124,128,132,137,141,144,149,151,155,157,158,161,160,162,162,161,160,159,158, 157,153,153,149,148,144,143,140,138,136,133,133,129,130,126,127,126,126,126,126,127,126,127,127, 125,125,124,123,122,120,118,117,115,115,114,112,110,111,110,111,111,112,114,115,117,118,121,122, 124,126,126,129,129,133,134,135,138,137,140,139,140,140,139,138,137,133,132,127,126,122,117,114, 109,106,103, 99, 98, 95, 94, 93, 91, 92, 91, 94, 93, 97, 98,101,105,108,113,115,120,122,127,129, 133,135,136,138,138,139,139,139,139,138,136,135,132,132,130,128,127,125,125,125,122,124,121,123, 121,122,122,122,123,122,123,121,122,120,119,118,118,116,116,113,114,112,113,111,111,110,110,108, 109,108,109,108,109,109,109,110,111,112,113,116,117,122,124,129,133,137,139,144,148,149,153,152, 154,153,153,152,151,148,146,142,141,136,135,131,129,125,123,120,118,116,115,115,112,113,111,113, 112,115,116,118,121,123,125,128,129,131,133,132,135,135,135,136,137,135,137,136,137,138,138,139, 139,141,141,141,143,144,142,144,142,144,142,144,145,145,146,146,148,149,150,150,150,149,149,147, 146,146,144,143,140,139,137,134,133,130,129,126,126,123,123,122,121,121,120,121,121,123,124,127, 127,131,133,137,139,143,145,148,150,151,152,151,153,151,151,149,146,144,142,138,136,132,130,127, 123,122,119,116,114,112,111,109,108,107,107,106,107,107,108,108,110,109,112,111,114,113,116,115, 116,117,117,117,119,117,119,118,117,117,116,117,116,116,116,117,115,117,116,119,118,121,121,125, 125,129,130,133,134,136,137,137,139,137,139,137,137,134,134,131,128,126,122,120,116,114,111,108, 106,103,102,100,100,100,100,102,101,105,105,109,110,114,116,120,121,124,126,128,131,130,133,133, 135,135,137,136,138,137,138,137,137,136,136,135,133,131,129,127,125,122,120,118,117,116,116,115, 117,117,117,119,119,120,122,120,122,121,121,121,120,120,119,119,118,118,117,118,118,118,118,118, 118,119,119,120,122,123,125,127,128,133,134,138,140,144,147,147,151,152,153,153,153,153,152,151, 150,147,146,142,141,139,137,135,133,130,129,128,125,125,122,122,120,120,119,120,120,122,122,123, 125,126,129,131,132,135,136,138,140,142,144,144,147,146,149,148,150,151,151,151,150,150,149,149, 148,148,146,144,143,143,140,141,139,140,139,137,138,137,138,136,136,136,134,134,133,130,130,127, 126,123,122,120,117,116,114,113,110,111,109,110,108,110,109,112,111,114,115,118,119,122,124,126, 129,129,132,132,135,135,137,136,139,137,139,138,138,138,138,137,135,134,131,130,126,125,121,120, 115,115,112,110,109,108,107,106,107,107,108,108,111,111,113,113,116,117,120,120,124,124,128,128, 131,132,132,133,134,133,134,134,133,134,132,133,132,131,131,131,132,133,132,134,133,135,135,134, 135,134,133,131,131,128,129,125,125,122,122,119,120,117,117,116,114,115,113,114,111,112,109,110, 107,109,108,108,107,108,109,110,112,114,116,118,121,122,125,127,128,130,132,132,135,134,137,136, 138,137,138,137,136,136,135,133,132,131,127,128,125,123,122,122,120,121,119,120,120,121,122,122, 122,121,123,122,124,123,123,123,124,122,124,123,124,123,124,124,126,127,126,128,127,130,129,132, 131,134,133,136,137,138,141,141,144,143,145,145,146,146,146,145,145,144,143,143,142,142,140,140, 138,138,136,136,134,134,133,130,130,128,127,127,124,125,123,124,124,125,125,126,125,128,129,130, 132,132,135,135,138,139,141,141,142,142,143,142,141,141,141,139,138,137,134,134,131,131,129,127, 126,126,123,124,122,122,120,121,119,119,118,117,117,114,115,113,114,113,115,113,115,113,115,114, 116,116,116,116,115,117,115,117,116,116,116,117,118,120,120,123,123,126,127,129,129,131,132,134, 135,135,138,138,141,140,142,141,143,142,142,141,141,139,138,135,133,129,127,124,122,120,118,117, 113,114,112,113,112,112,113,113,114,113,114,115,116,115,118,117,120,120,120,121,122,123,125,125, 127,127,127,130,129,131,130,132,130,130,129,129,128,128,128,128,127,126,126,125,124,124,123,123, 123,123,123,122,121,121,120,120,119,119,119,118,117,117,115,116,115,114,114,113,113,114,113,115, 114,115,117,119,121,122,125,126,130,132,133,136,138,140,142,143,144,145,146,145,146,144,145,142, 143,140,140,139,136,135,133,132,128,129,126,127,126,125,126,126,124,125,123,124,124,123,125,124, 127,126,128,127,130,130,132,133,134,136,137,137,139,139,141,142,142,143,143,145,143,146,144,146, 146,147,146,147,145,146,144,145,144,144,144,144,143,143,142,142,142,139,139,136,134,133,130,129, 125,124,120,119,115,115,113,112,110,111,109,111,110,112,112,113,114,114,116,116,119,120,120,122, 123,125,126,128,130,131,133,134,135,136,136,136,136,134,134,133,132,131,130,130,127,128,125,126, 123,124,121,121,119,119,118,117,116,116,116,115,115,116,116,118,119,119,121,122,122,124,124,125, 126,125,126,125,126,125,126,127,126,129,128,131,130,133,132,134,134,136,136,137,138,136,138,136, 137,136,135,132,133,130,130,127,127,125,124,123,120,120,118,116,115,113,112,111,110,110,109,109, 108,107,107,106,107,108,108,109,109,111,113,114,115,117,118,120,122,122,125,126,126,128,128,130, 130,130,128,130,127,129,127,128,127,128,126,126,125,125,125,124,125,124,124,124,124,125,125,125, 126,123,125,123,125,123,124,123,122,123,121,121,121,121,121,121,122,124,123,126,126,129,130,131, 133,134,136,137,140,140,142,142,145,144,146,146,146,147,146,147,147,145,146,144,144,142,142,140, 139,138,137,136,136,135,135,134,134,132,132,130,130,130,128,128,127,128,129,129,130,129,131,131, 134,134,136,135,138,138,138,139,138,138,137,137,135,137,134,136,134,136,133,135,133,134,133,134, 132,132,130,130,129,128,127,127,126,125,124,123,122,122,121,120,120,118,119,117,117,115,115,114, 114,114,114,114,115,115,117,117,118,119,120,121,121,122,122,123,125,125,127,127,130,130,132,133, 135,136,138,139,141,140,142,141,141,141,139,140,139,137,136,134,134,131,131,130,127,127,125,125, 124,124,124,122,123,121,121,121,121,119,120,119,119,119,118,118,119,117,118,117,118,118,118,120, 120,120,122,122,124,124,125,126,125,126,125,126,126,125,125,125,125,124,124,122,122,120,120,119, 118,117,115,115,114,113,111,110,110,109,109,108,108,108,108,108,109,110,109,111,110,112,112,114, 116,116,119,119,123,123,126,128,129,131,132,133,134,135,135,137,136,137,135,136,136,135,135,135, 135,135,135,135,135,134,135,134,135,133,134,133,134,132,134,132,133,132,132,130,131,129,129,127, 128,127,125,125,123,125,124,124,125,126,127,128,130,132,135,136,139,140,143,144,145,146,147,148, 149,148,150,149,151,149,151,150,149,149,148,148,148,146,144,142,140,137,135,132,130,129,126,124, 123,122,121,121,119,120,118,119,118,119,119,120,120,119,121,121,121,121,121,121,122,122,122,123, 122,123,121,123,122,122,122,122,123,123,125,125,127,127,129,130,132,132,134,134,135,135,135,135, 135,134,134,133,132,131,130,129,128,127,125,125,124,122,122,121,121,120,121,120,121,122,121,123, 122,124,124,126,126,128,129,131,133,134,137,138,139,141,141,142,142,143,142,142,140,140,138,137, 134,133,130,129,125,125,122,122,119,119,117,118,115,116,115,114,115,113,114,114,113,114,113,113, 114,112,113,112,113,111,112,110,110,108,108,108,107,107,107,107,108,108,109,109,111,112,113,114, 116,116,118,118,120,121,121,123,123,125,126,125,127,126,127,127,127,127,128,126,126,123,123,121, 121,119,118,118,115,116,114,114,114,114,115,115,116,118,118,121,121,124,125,128,131,131,135,135, 139,139,142,141,144,142,144,143,143,142,141,142,139,140,137,137,137,136,136,136,137,137,138,138, 140,141,142,141,143,142,145,144,144,144,144,142,143,141,142,141,139,139,137,137,135,136,134,134, 131,132,131,131,129,130,128,130,128,130,129,132,131,134,134,136,137,139,140,141,143,141,143,141, 143,142,140,140,139,136,135,132,130,128,126,123,122,120,118,117,114,115,112,114,113,114,115,116, 116,118,118,120,121,123,125,124,127,126,129,128,129,129,129,130,130,128,129,128,128,127,127,127, 128,128,129,129,130,130,132,132,133,134,133,134,134,135,135,135,137,136,138,136,138,137,137,137, 136,136,134,134,132,131,129,127,124,123,119,119,115,116,113,114,112,114,112,114,113,114,116,116, 119,119,122,122,125,126,128,128,129,130,131,130,131,129,129,127,125,125,121,120,117,116,112,112, 108,108,105,105,104,104,103,103,102,103,102,103,102,104,105,104,106,106,108,108,110,110,112,113, 113,114,115,115,117,117,117,118,117,118,117,119,117,119,118,121,120,122,122,124,124,125,128,128, 131,132,135,135,138,139,141,140,143,142,144,142,144,142,143,141,139,138,136,133,132,129,127,126, 124,124,121,123,122,122,123,124,125,128,130,133,135,138,141,141,146,146,149,149,152,152,152,153, 153,153,152,152,151,150,149,148,147,145,143,143,140,140,138,136,135,134,133,132,132,131,132,131, 133,132,134,133,136,135,135,135,134,134,134,131,131,129,128,126,125,124,120,120,117,117,114,115, 112,114,112,114,112,115,116,117,120,121,124,125,129,129,134,134,138,138,141,141,141,141,141,139, 138,135,134,131,130,127,125,123,121,119,118,117,116,116,116,116,116,116,116,118,119,119,122,123, 126,126,131,131,135,135,139,139,142,142,143,144,143,143,141,141,139,138,135,135,132,131,129,128, 126,125,123,122,122,121,122,121,122,121,124,124,124,125,126,127,129,127,129,127,128,126,126,124, 122,120,117,115,112,110,106,105,101,102, 98,100, 97, 98, 97, 99, 98,100,100,103,105,107,108,110, 113,113,117,117,121,121,123,124,124,125,125,125,124,124,123,121,121,119,118,117,115,115,112,112, 110,109,110,109,111,111,111,113,115,115,118,118,122,122,126,126,130,130,132,134,135,136,136,137, 136,137,135,136,134,135,132,133,131,132,130,130,129,130,130,131,133,134,137,139,141,143,146,147, 151,151,154,154,155,155,155,154,155,152,152,149,147,146,142,142,139,137,135,133,131,130,128,127, 125,125,125,125,126,127,127,129,131,133,136,136,140,140,144,144,145,146,146,147,146,146,145,143, 141,140,136,135,131,130,126,124,121,120,116,116,113,113,111,112,112,112,114,114,117,117,120,120, 123,125,127,128,130,130,131,131,129,129,128,127,125,123,122,120,119,118,117,117,116,117,117,118, 119,121,122,125,126,128,130,132,135,135,140,140,144,143,147,146,149,147,149,147,146,144,143,140, 138,136,134,132,127,127,122,121,118,117,115,114,113,113,114,113,114,116,117,119,121,123,126,127, 130,130,134,134,136,135,136,134,134,132,131,130,127,125,122,121,117,117,112,113,109,110,108,108, 108,107,108,108,109,108,111,111,112,113,115,115,116,117,117,117,117,117,116,115,113,113,111,111, 109,108,106,106,103,104,101,103,101,104,103,106,106,109,110,113,115,118,121,124,127,129,133,135, 137,139,142,142,143,144,143,144,142,142,142,140,139,137,134,133,129,129,125,125,121,122,120,121, 120,122,122,125,126,128,131,132,137,137,142,142,147,146,148,149,149,150,149,149,148,148,146,147, 144,145,142,142,139,140,137,138,135,136,135,135,136,136,136,137,138,139,140,139,143,141,144,142, 144,142,143,140,140,138,137,134,132,131,127,127,122,122,117,117,113,113,109,110,108,109,109,109, 110,112,113,114,118,119,124,126,129,132,136,136,140,139,141,141,142,140,140,138,137,135,133,131, 128,126,123,122,119,119,117,117,116,115,117,116,119,118,121,121,125,125,129,128,133,133,135,136, 138,137,138,138,137,138,137,136,135,135,132,133,129,130,126,127,125,125,124,124,125,124,126,126, 128,128,131,130,134,134,138,138,140,140,141,141,141,138,139,136,135,133,129,128,123,122,116,116, 110,110,105,105,101,101, 99, 99, 98, 99, 99,100,102,103,105,107,110,112,115,117,120,120,122,123, 123,124,123,124,122,123,120,121,117,118,114,115,111,112,109,108,108,107,108,107,109,109,110,111, 113,113,117,117,121,122,124,125,127,127,129,127,129,128,129,129,128,129,127,128,127,126,125,124, 123,123,121,122,121,122,122,122,124,125,126,128,131,132,137,138,142,144,147,149,152,152,153,153, 153,151,152,150,150,148,146,145,141,141,137,137,133,133,130,131,128,129,127,128,127,128,128,130, 131,133,136,135,139,139,142,142,144,145,145,146,145,146,145,145,144,143,139,140,135,135,131,130, 128,127,125,124,122,122,120,121,120,120,121,120,123,122,126,125,129,128,131,131,132,132,132,132, 132,132,130,130,128,126,124,122,120,119,115,115,112,113,112,112,112,113,113,116,117,118,122,123, 128,128,134,134,139,139,143,142,145,144,147,147,146,147,145,145,142,142,138,138,134,134,130,129, 127,125,124,123,122,121,122,120,122,121,124,123,126,126,129,128,132,130,133,133,134,133,134,133, 134,132,132,130,129,128,125,123,120,118,116,115,113,113,110,111,109,110,110,111,111,113,114,115, 117,118,120,121,122,122,122,122,121,121,119,119,118,116,114,112,109,107,105,103,101,100, 98, 98, 95, 97, 95, 97, 96, 99,100,102,105,107,111,113,117,119,123,122,126,127,128,129,130,131,131,133, 133,133,131,132,130,131,128,128,125,126,124,124,122,122,120,121,120,121,121,122,123,125,127,129, 131,132,134,136,138,137,140,139,141,141,142,141,140,142,139,140,139,138,137,137,136,137,136,137, 136,137,136,138,138,140,141,143,144,146,148,149,150,151,151,152,152,152,151,151,149,149,146,146, 142,142,138,137,133,132,128,127,124,124,121,121,118,119,118,116,117,117,117,119,119,121,122,123, 124,125,126,127,128,130,132,132,133,134,133,134,132,133,132,131,130,129,128,127,126,125,125,125, 123,124,123,124,124,126,127,128,130,131,132,133,134,135,136,137,138,136,138,136,137,137,135,135, 133,133,130,131,127,128,126,127,125,127,125,127,126,128,128,130,131,133,134,136,137,138,140,141, 142,142,143,143,144,142,143,142,142,140,139,137,135,132,130,127,125,122,120,119,116,114,112,110, 110,108,108,107,109,107,109,108,111,111,111,112,114,114,114,115,114,115,114,115,113,112,112,111, 110,108,107,107,105,105,104,103,103,103,103,104,104,104,107,107,110,110,114,113,117,116,120,118, 121,119,122,120,121,121,120,120,118,119,116,117,114,116,113,115,113,115,113,115,115,114,116,116, 117,119,121,123,124,126,129,129,133,135,136,138,140,141,143,143,145,144,145,145,145,145,143,143, 141,141,139,138,137,136,136,135,135,134,134,134,135,135,137,136,138,139,140,141,141,142,142,143, 144,142,144,143,142,143,141,141,139,139,136,137,134,135,133,132,131,131,129,130,130,129,130,131, 130,131,132,132,131,132,132,132,133,132,132,132,132,132,131,132,131,131,129,130,129,127,127,125, 125,123,123,121,120,119,119,117,118,118,117,118,118,120,120,122,125,125,128,128,131,132,133,135, 137,137,139,138,140,139,140,139,139,139,137,138,136,137,134,135,133,134,133,134,134,133,135,135, 135,136,137,136,138,137,139,137,139,137,138,137,137,136,136,134,134,134,131,131,129,129,126,127, 124,123,122,121,120,119,118,117,118,118,117,118,119,118,121,120,122,122,122,122,123,122,123,121, 122,120,120,118,117,115,114,113,109,109,106,106,102,102,100, 98, 97, 96, 96, 96, 97, 96, 99, 98, 101,101,105,104,108,109,111,112,114,115,117,116,118,118,117,118,117,118,117,118,116,118,117,118, 117,119,118,120,120,121,121,122,122,124,124,125,126,127,129,128,131,130,132,133,134,133,135,134, 135,135,134,135,134,135,133,134,133,132,132,131,131,130,130,131,130,132,131,133,133,135,136,138, 140,140,142,143,144,146,148,147,150,150,150,151,150,151,149,150,148,146,145,143,142,140,138,137, 135,134,133,132,132,132,130,131,131,130,131,130,131,130,129,129,128,129,127,127,128,128,127,127, 125,127,126,126,124,125,125,124,124,124,123,124,122,124,123,124,123,124,125,126,127,127,129,128, 130,130,132,131,134,133,135,134,136,135,136,136,135,135,133,134,133,132,131,130,128,128,126,127, 125,126,125,126,125,127,127,129,130,130,133,132,135,135,138,137,139,139,139,140,141,139,140,139, 139,138,137,136,135,134,133,131,130,130,128,127,126,125,124,124,122,122,121,122,122,120,121,120, 121,119,121,120,119,119,117,117,115,115,113,113,111,110,109,107,106,105,103,104,101,102,100,101, 99,100,101,100,102,102,104,105,106,108,110,112,114,114,118,117,120,119,121,120,121,119,120,119, 116,116,114,113,111,111,108,109,108,109,109,108,110,111,112,113,114,116,119,118,122,122,126,126, 129,130,131,133,134,134,136,137,136,138,137,138,137,138,137,137,136,136,136,135,136,135,136,135, 136,137,136,138,138,140,141,142,144,144,147,146,148,147,149,148,150,150,149,149,148,148,145,145, 142,142,139,139,136,135,133,132,130,130,128,129,128,130,130,132,133,134,136,137,139,139,140,141, 143,141,143,142,142,142,140,140,139,137,136,135,132,132,129,129,126,125,124,122,122,122,120,121, 120,121,120,121,121,121,124,123,126,125,128,127,129,130,131,131,133,132,134,134,133,134,133,134, 133,134,132,132,130,131,129,130,128,129,128,129,129,129,130,131,132,133,135,134,137,136,139,138, 140,140,141,139,141,139,140,138,138,137,135,133,132,130,129,127,126,126,124,124,122,121,121,121, 120,120,121,121,121,121,123,122,124,123,125,125,125,126,126,125,125,123,124,122,121,120,119,117, 116,115,111,112,109,108,106,105,104,103,102,102,100,101,100,101,101,102,102,104,106,105,108,107, 110,110,112,111,113,113,112,113,112,111,110,109,109,108,108,107,107,108,107,109,109,111,112,114, 115,117,120,119,123,123,126,127,129,129,132,131,132,134,133,134,133,133,134,132,132,131,131,130, 129,129,127,128,126,127,127,126,128,128,130,130,131,132,134,134,137,137,140,140,143,144,144,146, 147,147,146,148,147,148,147,148,147,146,145,144,143,141,141,140,138,138,136,137,136,137,137,136, 137,136,138,138,140,138,141,139,141,140,140,138,139,137,137,136,133,131,130,128,126,126,122,123, 120,121,119,119,120,119,121,121,122,123,125,125,126,127,128,129,130,131,132,133,134,133,135,134, 135,134,134,134,133,133,131,132,130,130,129,128,127,127,126,126,126,124,126,125,127,126,128,128, 130,130,132,133,133,135,135,137,138,139,139,140,140,141,140,139,139,138,138,137,135,135,134,133, 132,131,131,131,130,131,130,131,130,131,130,131,130,131,131,131,131,131,131,131,130,130,128,128, 127,125,124,121,120,118,116,114,112,110,109,107,106,105,103,103,102,101,102,101,103,102,104,104, 104,105,106,107,109,109,112,112,114,114,115,114,116,116,116,116,114,115,113,112,111,110,109,108, 107,106,107,106,107,107,109,108,111,112,114,114,116,118,120,121,124,123,126,125,128,127,129,128, 130,129,130,130,128,129,127,128,126,128,126,127,127,127,128,128,130,130,131,133,134,136,138,139, 141,142,145,144,147,146,148,149,148,149,149,149,148,147,146,146,144,144,141,142,139,139,136,136, 134,134,133,132,132,131,132,132,133,133,135,135,137,137,140,140,141,142,142,141,142,140,141,139, 138,136,134,133,130,129,126,126,123,123,121,120,120,120,119,120,120,121,122,121,123,122,124,125, 126,127,128,127,129,128,129,128,128,127,127,126,126,126,125,125,124,124,122,122,122,121,122,123, 123,124,125,126,127,129,131,132,133,135,137,138,140,139,142,142,143,144,143,144,142,143,141,142, 139,139,136,135,134,132,131,130,128,128,128,126,127,126,128,126,128,127,129,128,130,131,131,132, 132,133,134,134,132,133,131,132,129,130,127,126,124,123,120,119,115,115,111,112,109,110,108,109, 108,109,109,108,109,108,110,110,110,110,111,110,112,111,112,111,112,111,112,111,111,110,110,110, 107,108,105,105,103,102,102,102,100,102,101,102,102,104,106,106,109,109,114,114,119,120,123,125, 127,129,131,132,133,134,135,134,135,134,134,133,132,132,129,129,126,127,125,126,124,125,125,126, 126,128,128,130,131,133,136,136,139,139,143,142,145,145,145,146,146,147,146,145,145,144,144,143, 141,141,138,139,136,137,135,136,136,135,135,135,136,136,137,136,139,138,141,140,143,142,145,144, 146,146,145,146,146,144,144,142,141,138,136,134,131,128,125,123,121,119,118,116,116,115,115,115, 115,116,117,117,120,121,123,125,127,128,130,131,132,133,133,134,133,134,133,133,132,130,129,128, 126,126,123,123,121,122,120,121,120,121,122,121,124,124,125,127,130,129,133,132,136,136,139,138, 141,141,141,142,141,142,141,141,138,139,135,136,132,133,129,129,129,128,128,127,128,128,127,129, 129,129,132,131,134,135,136,137,139,138,141,140,141,140,141,139,139,137,136,134,131,128,125,124, 119,117,114,112,110,110,107,107,105,106,106,104,106,105,108,107,109,108,110,110,110,111,111,112, 113,112,113,113,112,113,110,111,110,108,107,106,105,104,103,102,103,103,101,102,102,103,104,105, 106,108,110,111,114,115,118,118,122,123,125,125,127,128,128,128,128,127,127,126,124,125,122,123, 122,121,121,120,121,121,120,122,122,124,126,127,130,130,134,135,139,139,143,143,146,146,149,149, 150,150,149,149,148,147,145,144,141,140,138,137,136,135,133,134,132,132,131,132,132,133,133,134, 136,136,137,139,140,141,142,142,144,144,146,145,147,147,146,146,144,142,140,139,136,135,131,130, 128,126,124,123,122,120,120,119,120,121,122,121,124,123,127,126,130,130,132,133,134,135,136,134, 135,133,133,131,130,128,125,124,121,120,118,117,116,115,114,114,114,115,115,117,119,119,123,123, 127,127,132,132,136,137,139,141,143,144,145,146,145,146,144,144,141,141,139,137,135,134,132,131, 130,128,128,127,127,127,127,128,128,129,130,131,134,134,135,137,138,139,140,142,142,143,141,142, 141,139,137,136,133,131,128,127,122,122,117,118,115,113,113,111,112,110,112,111,113,112,115,114, 117,118,119,120,120,121,121,122,121,122,120,121,119,118,115,114,112,110,108,107,103,103,100,100, 97, 98, 96, 97, 96, 97, 98, 98,100,101,103,104,107,108,112,113,116,117,120,121,123,124,124,125, 125,125,124,124,122,123,120,121,120,120,118,119,118,119,119,119,120,120,121,122,124,126,128,129, 132,134,136,138,141,140,144,143,145,144,145,143,143,143,139,140,136,137,134,133,132,131,130,129, 129,130,130,130,133,132,135,136,137,139,141,141,144,143,146,146,148,148,149,149,149,148,148,147, 146,145,142,142,137,137,134,132,130,128,126,125,123,121,121,120,120,119,121,120,122,121,124,123, 126,126,129,128,131,130,132,131,132,131,131,130,127,128,124,125,122,121,119,118,117,117,115,116, 115,116,116,118,119,120,122,123,125,127,129,130,132,134,135,137,138,139,139,140,138,139,137,138, 136,136,133,133,131,130,128,128,126,127,125,126,126,127,127,128,130,131,133,134,135,137,139,140, 141,143,144,146,146,147,147,148,146,147,144,145,142,140,138,136,134,132,130,129,125,125,121,121, 119,119,119,119,119,119,119,120,120,121,123,121,124,124,123,124,124,122,122,121,120,118,117,116, 112,113,110,108,107,105,104,103,103,101,102,101,102,101,103,103,103,104,106,106,109,108,111,111, 114,114,115,116,116,117,116,118,116,117,116,115,115,114,113,113,111,112,111,112,111,112,111,113, 113,114,114,116,119,119,122,123,127,128,131,133,135,137,139,141,142,142,143,142,143,142,141,140, 139,138,136,135,135,134,134,133,133,132,134,133,135,135,136,137,138,139,140,141,143,142,145,145, 146,145,147,146,146,145,145,144,143,142,141,140,139,138,136,136,134,134,132,132,130,130,128,129, 127,128,127,128,128,127,130,130,131,132,132,133,134,133,134,133,134,132,132,132,129,129,126,126, 123,123,121,119,119,117,117,116,116,115,116,115,117,117,119,119,122,122,125,125,127,129,130,132, 133,133,135,135,136,135,136,136,134,135,133,133,132,132,129,130,129,130,129,130,129,129,132,131, 134,133,136,136,137,138,140,140,142,142,142,143,143,144,143,143,141,142,139,140,138,137,135,134, 131,131,129,128,126,124,124,122,122,121,121,121,121,122,122,123,123,124,124,125,125,126,126,127, 125,125,124,123,122,120,118,116,113,114,110,110,107,107,104,104,103,103,103,102,103,101,103,102, 104,103,106,105,107,107,109,108,111,110,112,112,112,113,112,114,113,112,112,111,111,111,110,111, 110,111,110,111,111,112,112,113,115,114,117,118,119,121,123,125,126,128,131,131,134,135,136,136, 138,137,138,139,137,138,136,135,134,133,132,131,130,129,129,128,129,129,128,130,130,131,133,132, 136,136,138,140,141,142,143,145,145,147,147,148,147,148,146,147,144,145,141,142,139,140,138,137, 136,134,134,133,133,131,131,130,131,130,130,129,131,130,132,130,132,132,132,133,133,134,135,134, 134,133,133,131,130,129,128,126,125,125,122,122,119,120,118,118,117,118,118,117,119,118,121,122, 124,123,127,127,130,131,132,134,135,135,137,136,137,137,135,136,134,134,133,131,130,129,129,127, 127,126,127,126,127,127,127,128,130,129,132,132,135,134,137,138,139,140,140,142,143,143,144,144, 143,143,142,142,140,139,138,136,136,134,134,132,132,130,130,129,127,127,126,127,126,125,127,127, 127,128,128,129,129,130,129,130,128,129,126,126,123,123,119,119,115,115,111,112,108,109,106,107, 104,105,104,103,104,103,105,104,107,106,108,107,110,110,112,112,114,114,115,115,115,115,114,115, 112,113,111,111,111,110,110,109,109,108,109,109,109,108,110,109,111,111,113,113,115,115,118,118, 121,121,124,124,127,128,128,130,131,131,133,132,133,133,132,133,131,132,131,131,130,130,129,130, 128,129,128,130,131,130,132,132,134,135,136,137,138,140,142,142,142,143,143,144,142,143,142,141, 140,140,137,137,135,136,133,134,133,132,132,131,132,132,131,132,131,132,132,132,133,133,133,133, 133,134,134,135,135,135,134,135,133,134,132,133,130,131,129,128,128,126,126,126,124,124,123,122, 122,121,122,121,122,122,123,122,125,124,126,125,128,127,129,129,131,130,131,131,132,132,131,131, 129,131,129,130,128,129,128,129,128,129,130,129,131,130,132,131,134,134,135,136,137,138,138,140, 140,141,141,142,141,142,140,141,140,139,138,137,136,135,135,134,134,133,133,132,131,132,130,131, 130,131,130,131,130,130,131,130,131,130,132,132,131,132,131,131,129,130,127,128,125,125,122,121, 119,119,115,116,113,113,111,111,110,109,110,110,110,109,110,110,110,111,110,111,112,111,113,112, 113,113,113,113,112,111,111,109,109,107,107,106,105,104,105,105,103,105,104,105,105,107,108,109, 111,112,114,114,117,117,120,121,123,123,125,125,127,127,128,129,128,129,129,128,129,128,129,128, 128,127,128,127,128,127,128,128,128,129,130,129,131,132,132,133,135,135,138,137,140,140,142,141, 142,143,142,144,143,142,141,140,139,138,137,136,136,135,135,135,134,135,135,136,137,136,139,139, 139,140,140,141,141,142,141,142,141,142,142,141,141,139,138,137,135,135,132,132,129,128,127,125, 125,123,123,123,121,121,121,120,121,120,122,121,123,123,125,125,127,128,128,129,130,130,131,131, 132,131,132,131,131,131,129,130,128,129,127,128,126,127,127,127,127,127,127,127,129,128,130,131, 131,133,133,135,136,137,138,139,139,141,141,141,141,141,139,139,137,138,135,136,134,134,134,133, 133,132,133,132,134,133,134,135,135,135,136,135,137,136,138,137,139,138,139,138,139,138,136,137, 134,134,131,131,128,128,124,124,120,120,118,116,115,113,112,111,110,110,110,108,110,109,109,110, 110,111,111,112,112,113,113,113,114,113,114,114,111,112,109,110,107,107,105,104,103,102,101,100, 101, 99,101,100,102,101,104,103,106,105,109,108,111,112,113,115,117,116,119,118,120,120,119,121, 120,120,120,120,119,120,118,120,120,120,119,121,120,122,122,123,124,125,126,128,130,130,133,133, 136,137,138,140,141,141,142,144,143,145,143,144,143,144,141,142,139,140,137,137,135,135,133,134, 133,134,133,134,135,134,137,137,138,139,140,141,142,143,143,145,144,145,145,144,144,143,141,140, 139,137,135,134,132,131,130,128,127,126,126,124,125,125,124,124,125,124,126,125,127,126,129,128, 130,129,131,130,132,132,130,131,129,130,128,128,126,127,125,124,124,122,122,121,122,122,121,122, 122,123,124,125,127,126,129,128,132,131,134,134,137,137,140,139,142,141,143,143,143,143,141,142, 140,140,138,137,136,135,134,134,134,132,133,132,133,132,134,134,136,135,137,137,139,138,140,140, 141,140,142,141,141,141,140,140,138,136,135,134,132,131,129,127,125,123,122,121,119,119,117,117, 115,116,114,114,115,114,116,115,117,117,116,117,118,117,118,116,117,116,114,115,112,112,109,110, 106,106,104,102,101,100, 99, 98, 98, 96, 97, 96, 97, 97, 98, 99,100,102,104,104,108,108,111,111, 114,114,117,118,117,119,118,119,117,119,118,117,117,116,116,116,117,116,117,117,118,118,120,120, 121,123,124,126,128,129,130,132,133,135,135,137,138,139,139,140,141,140,141,140,141,140,140,140, 138,138,137,137,136,135,135,135,135,134,134,135,135,136,136,138,138,140,141,142,144,144,146,146, 148,147,146,148,145,146,143,144,140,141,137,137,134,134,131,131,128,129,126,127,126,126,125,125, 125,125,126,126,128,127,129,128,130,131,131,132,131,133,131,132,131,132,129,130,127,128,126,126, 125,124,124,124,123,123,122,123,124,123,125,124,126,126,128,127,130,131,131,133,135,136,136,138, 138,139,139,140,139,140,138,139,137,138,136,135,135,133,133,132,133,132,133,131,133,132,133,134, 134,135,137,137,138,139,140,140,142,141,142,142,142,141,142,141,140,139,138,136,135,133,131,131, 128,128,125,124,124,122,122,120,120,118,119,117,118,118,118,118,118,118,118,118,117,118,118,117, 118,117,117,116,115,115,112,112,110,110,107,108,105,105,103,103,102,102,102,101,101,102,101,103, 103,104,106,105,108,108,111,111,111,113,114,113,115,115,114,115,113,114,112,113,111,112,110,111, 110,109,111,110,112,112,112,114,116,115,119,118,122,123,124,126,127,129,130,131,132,133,133,135, 136,135,136,136,136,136,136,135,135,134,134,134,133,133,133,132,133,132,133,133,134,133,135,136, 136,138,138,140,141,141,143,143,145,145,145,145,145,144,144,143,142,141,140,140,137,137,134,135, 133,132,132,131,130,130,129,130,130,129,131,130,132,131,133,132,134,135,134,135,135,136,135,134, 134,133,132,132,130,129,128,126,125,125,124,123,122,122,121,122,122,122,123,123,125,124,126,127, 128,129,131,130,133,133,133,135,135,137,136,137,136,138,136,137,136,135,135,135,133,133,132,132, 131,131,131,130,131,130,132,131,133,133,133,135,137,136,138,139,139,140,141,140,141,140,141,140, 139,138,137,136,134,135,132,132,129,130,127,126,126,125,125,123,124,122,123,122,123,122,123,122, 124,123,124,123,125,123,124,123,123,122,122,121,120,118,117,115,113,113,110,111,109,108,106,106, 105,103,103,102,103,101,103,102,103,104,104,106,106,108,110,109,112,111,114,113,115,114,115,114, 114,113,113,112,112,111,111,111,109,110,109,108,110,109,111,110,113,112,116,116,118,120,121,123, 124,126,127,129,129,131,131,132,132,133,132,133,132,133,131,133,131,132,131,131,132,131,132,131, 132,132,132,133,133,134,134,136,137,137,139,139,141,142,142,144,144,146,145,147,146,147,145,146, 143,144,141,142,139,139,137,137,135,136,134,134,132,133,132,132,131,132,131,132,132,133,134,134, 134,135,135,136,135,136,135,136,134,134,134,132,132,130,129,128,127,127,124,125,123,124,123,123, 123,123,124,124,126,125,127,126,129,128,131,130,131,133,132,134,133,135,134,135,135,135,134,135, 133,134,131,132,130,130,131,129,130,128,129,129,129,129,129,128,130,131,131,132,133,134,135,136, 138,137,140,140,140,141,140,141,140,141,138,139,136,137,135,134,133,133,131,131,129,129,127,127, 127,125,126,125,126,125,126,125,126,125,126,125,126,124,125,124,125,123,123,123,121,121,118,119, 115,116,113,113,111,111,110,108,108,106,106,105,105,105,104,105,104,105,105,106,107,106,108,107, 110,109,110,111,111,113,112,113,113,112,112,111,111,110,111,109,110,109,108,109,107,108,108,109, 109,110,111,113,114,116,118,119,121,122,123,125,125,127,128,128,129,130,128,130,129,130,129,129, 129,129,129,129,129,130,129,131,130,131,131,132,132,133,133,135,135,136,136,138,138,139,140,140, 142,142,142,143,143,144,143,142,142,141,141,141,140,140,139,138,137,137,135,136,135,134,135,134, 135,134,135,135,134,135,135,136,137,137,136,137,137,138,137,138,137,136,135,135,133,133,130,131, 129,129,127,127,125,126,125,123,124,124,124,124,125,124,127,126,128,127,129,129,130,131,130,132, 133,132,133,133,134,133,133,133,133,134,132,134,132,133,132,133,132,133,131,132,131,132,133,132, 134,133,135,134,136,136,136,138,138,139,139,140,140,141,140,141,139,140,139,138,138,137,137,136, 135,135,133,134,131,132,130,131,130,130,128,129,129,129,129,129,128,128,128,128,127,128,127,128, 126,127,125,126,123,124,122,121,120,119,118,117,117,115,115,113,113,112,110,110,109,109,108,107, 107,106,107,106,107,106,107,106,108,107,109,108,109,108,110,109,110,109,110,109,110,109,110,109, 110,110,108,109,108,109,108,110,110,110,112,111,114,113,116,116,119,119,120,122,124,123,125,125, 126,127,126,126,126,126,126,126,126,127,126,127,127,126,128,127,129,129,129,130,131,131,131,133, 133,134,134,135,135,136,136,138,139,138,140,139,140,139,140,139,140,139,140,139,140,139,139,138, 138,137,138,138,136,137,137,136,137,137,136,137,135,136,135,136,135,136,135,135,136,134,135,134, 134,133,132,131,131,130,130,130,129,127,127,126,126,124,124,125,124,124,124,125,125,126,126,128, 128,129,129,130,131,130,131,131,132,132,131,132,130,131,130,131,130,131,130,131,130,131,131,130, 131,130,132,131,133,133,134,134,135,134,136,135,137,137,139,138,140,139,141,140,141,140,141,140, 140,139,139,139,138,138,136,137,135,136,134,135,134,133,133,132,133,132,133,132,133,133,132,133, 132,133,133,131,132,131,131,130,129,128,127,127,124,124,123,121,120,119,118,118,115,116,114,114, 112,113,111,112,111,111,112,110,111,110,111,111,111,109,110,110,110,110,110,109,109,108,108,107, 108,106,107,106,107,106,107,107,106,107,107,105,106,106,106,107,107,108,108,110,110,112,112,114, 115,116,117,119,120,121,121,123,122,124,123,124,124,124,124,123,124,123,124,124,125,125,124,125, 125,127,128,128,130,129,131,131,133,133,134,135,136,136,138,137,138,138,138,138,138,138,138,137, 137,137,137,137,136,136,136,135,135,134,135,135,134,135,135,136,136,137,136,137,137,138,137,139, 138,139,138,139,137,137,137,136,136,135,135,135,134,133,133,132,132,130,130,130,129,127,128,126, 127,127,126,127,127,128,128,127,129,129,130,131,131,132,131,132,131,132,131,132,131,132,130,131, 130,131,131,130,131,130,131,131,132,132,132,133,133,134,134,135,135,136,135,137,137,138,138,139, 139,140,140,139,140,140,139,140,138,139,138,137,138,138,136,137,136,135,136,135,135,134,135,134, 135,134,135,134,135,134,134,135,134,135,134,135,134,134,132,133,131,132,130,130,127,128,125,126, 124,123,122,122,119,120,119,117,118,116,117,116,115,115,114,114,114,113,114,112,113,113,112,111, 111,110,110,109,109,108,106,107,106,106,105,106,105,105,104,105,104,105,105,104,106,106,106,107, 107,106,108,107,109,109,111,110,113,113,113,115,115,117,117,118,118,119,120,119,121,120,121,120, 121,121,120,121,120,121,121,122,122,123,124,125,125,125,127,126,129,128,130,130,132,131,132,133, 132,134,133,135,134,135,134,135,134,136,134,136,135,134,135,134,135,134,136,135,136,136,137,137, 137,138,138,139,138,140,139,140,139,140,139,139,138,138,136,137,135,136,134,135,133,134,134,133, 132,131,131,131,130,130,129,128,128,127,128,127,128,128,128,129,128,129,130,129,131,130,131,131, 130,131,130,131,130,129,130,129,130,129,129,129,127,128,127,128,128,127,129,129,129,130,129,131, 131,132,132,133,133,134,134,136,136,136,137,136,137,136,137,137,138,137,137,138,136,137,136,137, 135,136,135,136,135,136,136,135,136,135,136,135,137,136,137,137,136,137,136,137,136,137,136,135, 135,134,134,134,132,132,130,130,128,128,125,125,124,123,121,121,119,120,118,118,117,117,117,116, 117,115,116,116,116,115,116,115,116,115,115,113,113,112,112,112,110,110,109,109,109,108,106,107, 106,106,106,106,105,106,106,105,106,105,106,105,107,107,107,108,108,109,109,111,111,112,114,114, 114,116,116,117,118,117,118,117,118,118,118,119,119,118,119,118,120,119,121,120,123,123,123,125, 125,127,127,129,129,131,132,132,134,133,135,136,135,136,135,137,136,136,136,136,134,135,135,134, 134,134,133,134,133,133,134,133,135,134,136,136,136,138,138,139,139,139,140,139,140,139,139,139, 139,138,138,137,137,136,136,135,134,135,133,133,131,132,130,131,129,129,129,128,128,128,127,128, 129,128,130,129,131,131,132,132,132,132,131,132,131,132,131,132,130,130,130,128,129,128,128,127, 128,127,128,127,127,128,127,129,129,130,131,132,132,134,134,135,135,137,137,138,138,138,139,138, 139,139,138,139,138,139,137,138,138,137,137,137,136,136,136,136,136,135,136,134,136,135,136,136, 135,136,136,137,137,136,137,137,137,137,136,135,135,134,134,134,132,132,130,131,128,129,127,127, 126,124,124,123,123,121,121,120,121,120,119,120,119,120,119,119,118,119,117,117,115,116,115,114, 113,112,111,110,109,109,108,107,107,106,106,105,105,105,104,105,104,105,104,105,105,104,106,105, 107,106,108,108,109,108,110,110,112,112,112,114,115,115,115,116,115,117,117,117,116,117,116,117, 117,118,118,119,120,119,121,120,122,122,124,125,125,127,127,128,129,129,131,131,131,133,132,133, 133,134,133,134,133,134,133,134,134,133,134,133,134,133,134,134,134,135,135,136,136,138,139,138, 139,139,140,139,140,140,139,140,139,138,138,137,137,137,135,136,135,134,134,133,134,133,131,132, 131,130,131,129,130,129,129,130,130,130,130,129,130,129,130,130,131,130,131,130,131,130,131,131, 129,130,129,130,129,128,129,127,128,128,127,128,127,129,128,129,129,130,130,132,131,132,134,133, 135,134,135,135,136,135,136,136,137,137,136,136,136,135,136,134,135,135,134,135,134,135,135,134, 136,135,136,136,137,137,138,138,139,138,140,140,139,140,139,140,138,139,138,138,137,137,136,135, 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127,128,127,128,128,128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,126,126,126,126,126,126,126, 126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126, 126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126, 126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,128,128,128,127,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,127,128,127,128,127,128,127,128,128,127,128,127,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,126,126, 126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126, 126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126, 126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,128,128,127,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,129,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126, 126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126, 126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128, 127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127, 128,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 129,129,129,129,129,129,129,129,129,129,129,129,129,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,128,128,127, 128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,126,126,126,126,126,126,126, 126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126, 126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,128,127,128,127,128,128,127,128,127,128,127,128,127,128,127, 128,128,127,128,127,128,127,128,128,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,129,129,129,129,129,129,129,129,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,127,128,127,128,127,127, 128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,127,127,127, 127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126, 126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126,126, 126,126,126,126,126,126,126,126,126,126,126,127,127,127,127,126,126,126,126,126,126,126,126,126, 126,126,126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,128,128,128,128,128,128,128,128,128,127,127,127,127,127,127,127,128,127, 128,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128,127,128,127,128,127,128,127,128, 128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,126,126,126,126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,128,128,127,128,128,127,128,127,128,128,127,128,127,128,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,128,127,128,127,128,127,128,127,128, 127,128,127,128,127,128,127,128,128,127,128,127,128,128,127,128,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,126,126,126,126,126,126,126,126,126,126,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,127,128, 128,127,128,128,127,128,128,128,128,128,128,128,127,128,127,128,127,128,128,128,127,128,127,128, 128,127,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127, 128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,128,128,128,127,128,127,128,127,128,127,128,128,128,128,128,127,128,127,128, 127,128,127,128,127,128,127,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,127,128, 128,127,128,127,128,128,127,127,127,127,127,127,127,127,127,127,127,127,128,128,127,128,128,127, 128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,127,128,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,126,126,126,126,126,126,126, 126,126,126,126,126,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128, 127,128,128,128,127,128,127,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127, 128,127,128,128,128,128,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127,128,127,128, 128,128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,126, 126,126,126,126,126,126,126,126,126,126,126,126,126,126,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,128,127,128,128,128,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,127,127,128,127,128,127,128,127,127,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,127,128,128,128,127,128,127,128,127,127,128,127,128,128, 128,127,128,127,128,127,128,127,128,127,128,128,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,128,127,128,128,128,127, 128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,127,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,127,128,127,128, 127,128,127,127,128,127,128,127,128,128,127,128,128,127,128,127,128,128,127,128,127,128,128,128, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,127,128,128,128,128,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,127,128,127,128,127,128,127,127,128,127,128,127,128,127,128,127,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,128,127,128,128,128, 128,128,128,128,128,128,127,128,128,127,128,127,128,127,128,128,127,128,128,127,128,127,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,127,128,127,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,127,128,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,128,127,128,127,128,128,127,128, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,128,127,128,127,128,128,128,128,127,128,128,127,128,127,128,128,127,127,127,127,127,127,127, 127,127,127,128,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128, 127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,127,128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,127,128,128,128,127,128,127,128, 127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,127,128,127,128,128,127,127,127,127,127,127,127,127,127,127, 127,127,128,127,128,128,127,128,127,127,128,127,128,127,128,127,128,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,128,128, 127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128, 127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,127,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,127,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127, 127,127,127,127,127,127,127,128,127,128,128,127,128,128,127,128,128,128,128,128,128,127,128,127, 128,128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,128,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,127,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,127,128,127,128,127,128,128,128,128,127,128,127,128,127,128,127,128,127,128,127, 128,128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,128,127,128,128,128, 128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,127,128,128,127,128,127,128,128, 127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,127,128,128,127,128,127,128, 128,127,128,127,128,127,128,128,128,128,128,128,128,127,128,127,128,127,128,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127, 128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,128,127, 128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,128,127,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 127,128,127,128,127,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,127, 128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,128,127,128,128,127,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,128,128,128,128,128,128,127, 128,127,128,127,128,127,127,128,127,128,128,127,128,127,128,128,127,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,127,128,128,127,128,127,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127, 128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128, 128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127, 128,127,128,127,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,127,128,127,128,128,127,128,127,128,127,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127, 128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127, 128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,128,127,128,127,128,128,127,128,128,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,127,128,127,128,128,127,128,127,128,128,128,127,128,127,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128, 127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128, 127,128,127,128,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,128,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,128,128,128,128,127,128,127,128,128,128,128,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,127,128,128,127,128,127, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,127,128,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,127,127,128,127,128,127,127,127,127,127,127,127, 127,127,127,127,128,128,127,128,128,127,128,128,127,128,127,128,127,128,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128, 127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,127,128, 127,128,127,128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128, 127,128,127,127,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,127,128,128,128,127,128,127,128,127,127,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128, 127,128,127,128,127,128,127,128,127,128,128,128,128,127,128,127,128,127,128,127,127,128,127,128, 127,128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,128,127,128,127,128, 127,128,128,127,128,128,128,127,128,128,128,128,127,128,127,128,127,128,127,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,128,128,128,127, 128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,127,128,127,128,127,128,127,128,127,128,128,127,128,127,128,127,128,128,127, 128,127,128,127,128,127,128,128,128,128,128,128,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,128,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 128,128,128,128,127,128,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,128, 127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,127,128,127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128,127,128,127,128,128,127,128, 127,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,128,127,127,127,127,127,127,127,128,127,128,128, 128,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,128,127,128,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,128,127,128,127,128,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127, 127,127,127,127,127,127,128,127,128,128,127,128,127,128,128,128,128,127,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,128,127,128,128,128,128,128,128,128, 128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127, 128,127,128,128,127,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,127,128,127,128, 128,128,128,128,128,128,127,128,127,128,127,127,127,127,127,128,127,127,128,127,128,128,127,128, 127,128,127,128,128,127,128,128,127,128,127,128,127,128,127,128,127,127,128,128,127,128,127,128, 127,127,128,127,127,128,127,128,128,127,128,127,128,127,128,128,128,128,128,127,128,128,127,128 }; int main(int argc, char **argv) { printf("hello audio world!\n"); /* int fd; // fprintf(stderr, "test on gpio (stderr -> Audio)"); fd = open("/dev/stdout", O_WRONLY); if (fd < 0) { fprintf(stdout, "fail to open /dev/stdout"); return 1; } write(fd, "write through device file!\n", 27); int fd_gpio; fd_gpio = open("/dev/gpio", O_WRONLY); if (fd_gpio < 0) { fprintf(stdout, "fail to open /dev/gpio"); return 1; } if (ioctl(fd_gpio, 40, NULL) != 0) { fprintf(stdout, "fail to use ioctl on /dev/gpio"); return 1; } write(fd_gpio, "1", 1); fprintf(stdout, "this is new sfsimg 2\n"); */ int fd_dsp; fd_dsp = open("/dev/dsp", O_WRONLY); if (fd_dsp < 0) { printf("fail to open /dev/dsp"); return 1; } ioctl(fd_dsp, 0, NULL); write(fd_dsp, sound, sizeof(sound)); ioctl(fd_dsp, 1, NULL); printf("finish writing %d\n", sizeof(sound)); return 0; }