train.csv

1,1,1,4,3,4,4,25,61,85,94,115,124,129,112,85,70,55,46,42,65,42,41,24,18,29,3,1,2,15,14,7,26,51,68,53,84,124,137,143,148,146,148,134,131,127,121,129,111,69,110,105,74,82,14,1,11,74,71,36,68,55,100,111,106,137,138,142,149,151,149,125,90,114,141,149,121,109,137,137,118,103,25,1,30,69,79,71,103,90,95,136,146,121,106,128,145,142,147,121,91,107,88,102,132,107,124,133,130,115,34,1,48,63,63,80,100,96,109,119,112,106,109,114,130,147,158,124,112,89,65,69,130,126,125,137,102,94,42,1,51,49,51,89,106,100,120,85,90,97,119,127,136,158,168,144,118,109,75,81,101,139,142,132,98,87,40,1,58,35,48,82,116,111,121,89,85,91,110,124,138,167,175,150,119,102,95,96,94,141,151,130,107,90,33,1,50,37,53,81,123,127,114,94,98,96,100,124,154,169,174,155,118,94,96,105,117,147,159,129,111,89,29,1,33,36,64,88,121,142,111,98,98,94,92,123,150,166,174,149,128,111,109,117,126,151,161,132,112,76,22,1,7,28,70,98,122,150,116,111,110,107,100,118,144,173,175,156,130,114,113,119,130,155,165,137,112,62,16,1,1,14,69,106,127,149,126,114,103,102,108,119,139,184,183,156,133,121,126,127,126,154,169,142,112,55,9,1,1,7,64,110,132,150,121,114,118,117,117,123,153,187,193,169,142,115,118,121,136,153,172,149,117,49,4,1,1,3,60,115,140,148,134,121,116,115,123,132,160,190,195,184,168,137,124,127,131,148,175,153,114,30,1,1,1,1,52,115,147,147,128,116,123,115,115,143,169,196,199,187,174,153,127,133,140,148,174,156,106,12,1,1,1,1,38,112,151,143,128,129,125,125,133,164,179,198,202,193,187,176,162,142,133,151,170,159,91,1,1,1,1,1,24,106,153,140,125,129,140,128,150,165,181,199,206,198,189,179,167,151,144,149,170,160,74,1,1,1,1,1,9,99,151,141,124,135,134,130,157,172,181,200,208,200,194,185,176,157,146,153,166,161,64,1,1,1,1,1,3,89,149,134,119,117,122,136,156,174,185,203,211,204,193,182,177,171,154,146,165,160,58,1,1,1,1,1,9,82,136,116,126,145,150,150,156,167,181,205,212,203,190,179,170,164,155,140,157,157,58,1,1,1,1,1,1,79,117,138,148,168,170,172,177,178,188,207,213,205,193,186,187,180,173,166,149,155,62,1,1,1,1,1,1,78,129,146,162,171,181,188,188,186,189,216,217,206,197,199,199,191,184,184,167,154,70,1,1,1,1,1,2,82,139,158,175,182,190,193,192,194,197,212,216,209,202,201,201,199,192,187,179,158,78,1,1,1,1,1,3,89,143,168,180,188,194,195,197,199,204,214,220,211,206,204,203,199,197,190,182,162,89,1,1,1,1,1,7,100,148,170,181,193,195,199,202,203,206,218,222,213,207,209,206,201,199,197,182,165,106,4,1,1,1,1,11,109,156,175,188,196,199,204,205,205,212,222,225,219,209,210,210,206,202,200,186,168,122,12,1,1,1,1,16,117,160,181,195,200,206,209,211,210,215,226,230,221,213,216,214,213,208,202,193,174,135,25,2,1,1,1,22,123,165,187,198,205,210,214,216,215,220,230,232,226,218,220,217,216,213,205,198,183,146,43,4,1,1,1,28,131,170,192,200,208,212,216,218,218,224,231,234,228,224,223,221,220,217,209,204,191,158,58,1,3,0
2,2,3,6,9,12,16,22,50,82,108,144,156,145,147,105,77,40,16,13,10,8,5,3,51,61,61,54,5,8,10,13,16,20,26,35,63,102,115,142,157,150,143,113,94,40,21,19,16,13,12,9,7,4,2,2,22,29,27,25,25,35,52,71,90,112,127,148,146,150,143,123,107,70,43,28,28,38,39,27,40,18,8,3,55,54,79,78,70,80,90,68,56,66,113,150,146,150,141,101,68,80,82,71,83,71,41,39,33,24,44,16,62,73,82,100,104,118,76,38,39,51,88,148,128,149,129,70,43,59,92,101,84,79,63,60,35,36,20,11,87,111,127,101,102,109,69,49,42,41,78,139,134,152,110,49,35,56,83,111,80,90,123,81,71,55,33,20,117,140,135,106,118,62,43,59,62,57,92,138,127,147,99,41,39,66,60,84,98,85,111,102,96,77,48,36,132,145,128,119,115,44,29,30,55,59,106,154,143,149,94,44,57,45,37,74,119,102,104,112,111,85,64,58,143,152,135,138,93,49,38,27,43,72,117,157,153,160,118,48,41,33,34,57,114,119,115,120,116,94,80,63,154,157,144,152,90,47,27,21,38,71,122,161,171,174,150,53,66,25,40,63,106,136,130,125,103,101,84,79,152,160,153,155,91,39,32,34,54,59,122,172,178,174,147,42,46,31,43,57,99,147,142,127,109,90,79,62,151,163,158,152,81,73,44,32,64,89,136,173,181,183,155,120,81,34,42,59,97,150,147,127,109,92,80,65,150,162,160,136,72,55,37,26,45,91,160,178,187,188,163,102,56,50,53,72,97,154,147,127,110,94,76,62,151,163,165,130,76,57,55,56,83,109,163,183,194,193,166,112,64,39,58,79,101,161,150,129,114,94,63,47,151,164,174,107,71,54,55,61,83,151,182,195,203,199,170,137,70,52,49,75,88,161,149,131,116,88,50,24,148,166,174,111,71,38,34,44,121,158,195,200,205,202,194,155,108,48,63,78,99,160,152,136,115,82,39,15,149,165,172,112,80,65,77,86,142,157,198,205,213,211,199,170,136,116,60,92,119,161,159,140,111,76,31,10,144,167,166,104,80,72,71,113,144,162,209,215,218,213,195,183,165,155,102,74,105,154,165,133,108,66,20,7,145,176,149,106,83,71,73,89,128,180,214,220,223,212,196,192,178,174,145,87,106,142,176,139,112,65,18,5,151,183,134,108,140,155,164,167,168,193,221,225,230,214,198,210,213,205,202,194,177,162,177,151,119,72,21,5,154,184,131,170,185,190,198,195,195,203,225,231,234,215,217,226,220,214,209,205,197,187,186,161,126,79,24,4,157,183,175,199,206,209,211,215,215,214,229,237,240,230,229,226,218,219,217,205,186,188,189,171,132,86,28,6,161,191,201,210,215,218,221,224,228,230,241,243,244,240,237,228,218,224,220,201,180,181,187,180,139,95,30,8,167,193,209,216,221,225,229,231,235,241,246,247,247,245,242,239,230,229,223,203,186,182,184,186,149,105,39,10,169,196,211,219,226,230,234,237,239,244,250,250,251,248,244,243,240,234,228,216,199,186,188,191,155,110,47,11,169,200,211,223,229,235,238,240,242,245,251,251,252,250,246,244,241,239,232,224,218,211,200,190,160,112,51,13,167,197,212,224,233,239,241,244,246,247,251,251,252,251,248,246,243,241,235,226,218,211,203,188,161,110,52,14,164,191,211,225,235,241,245,246,239,233,250,252,253,253,251,249,246,240,234,228,218,209,202,185,156,102,42,12,0
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3,4,8,12,17,19,19,28,94,130,145,150,156,134,152,168,153,134,128,112,72,36,34,31,19,9,5,2,54,66,60,56,62,60,54,74,118,148,138,152,162,146,161,169,164,127,108,88,115,98,74,74,63,57,73,67,109,114,129,122,105,105,121,136,113,74,56,75,119,139,166,181,148,63,40,20,50,105,134,125,116,123,118,116,158,148,118,123,153,185,169,132,84,41,42,64,101,123,157,181,146,89,63,57,94,126,142,162,155,132,134,151,178,178,166,162,188,164,144,132,115,82,67,89,92,139,164,188,142,74,65,81,85,87,96,121,181,167,151,151,203,201,198,206,188,121,95,84,73,88,86,102,127,156,179,205,134,85,67,64,54,55,77,95,134,189,176,183,195,191,195,197,139,108,74,40,19,21,29,68,111,156,191,205,168,90,23,12,8,8,21,61,116,158,193,168,204,198,212,145,117,71,37,16,11,12,40,69,139,179,204,204,172,127,36,14,14,12,28,49,69,126,197,186,222,211,205,134,88,61,41,22,7,6,12,33,138,184,196,192,164,102,28,7,6,6,18,45,74,111,188,197,190,208,192,122,97,54,32,9,12,17,37,48,151,195,197,189,156,91,37,21,15,18,19,32,49,115,173,211,181,218,172,116,72,53,41,24,20,16,25,56,145,189,199,178,156,115,51,49,19,15,24,59,64,85,155,201,169,214,170,104,84,69,40,15,18,25,44,81,155,203,208,190,161,122,80,59,18,14,14,25,62,108,143,201,162,210,155,119,76,47,30,22,31,53,63,110,171,203,210,204,177,118,62,84,77,35,38,45,51,93,150,199,158,204,160,104,81,74,50,30,20,62,87,107,174,211,213,209,200,146,58,82,78,24,26,51,80,92,153,195,183,208,158,119,91,51,32,33,43,75,82,145,183,212,212,218,215,180,87,84,59,23,18,31,57,107,160,199,159,197,168,124,86,48,53,57,71,93,102,173,197,225,219,228,225,196,115,58,63,26,33,34,48,91,183,174,153,197,144,105,83,76,76,61,55,52,132,195,215,231,220,233,235,209,159,72,60,28,21,34,64,105,183,173,153,198,131,105,95,99,96,70,65,83,151,202,226,236,227,235,236,220,178,109,65,61,61,41,49,108,183,173,150,193,141,88,82,91,100,97,67,90,153,195,224,238,226,233,237,224,214,156,88,65,68,56,48,89,184,169,147,191,131,100,97,72,67,57,39,112,170,188,217,243,229,235,238,225,214,183,151,60,34,33,60,101,171,167,144,176,114,110,79,49,50,35,56,108,162,176,214,243,232,234,237,226,212,176,155,86,55,40,50,68,160,166,139,163,94,62,48,43,42,55,53,92,157,192,215,237,233,235,240,236,215,168,151,78,42,62,39,39,137,162,133,152,63,46,55,95,122,131,141,143,152,166,204,234,229,233,242,221,182,145,124,74,34,31,47,43,114,160,119,130,65,78,143,163,177,187,198,191,174,187,209,235,234,238,247,220,153,121,108,86,48,23,22,62,101,150,98,127,82,162,185,199,210,221,225,222,215,205,224,243,239,238,248,223,193,168,126,106,110,108,66,46,124,129,43,120,146,179,193,210,220,229,239,243,244,239,242,247,245,246,247,237,223,209,208,205,194,187,151,85,133,81,41,128,169,176,194,213,225,237,247,248,248,245,246,250,244,247,248,242,239,237,233,228,218,207,188,147,150,69,73,132,181,191,209,228,237,245,248,249,247,243,245,248,242,243,244,239,240,240,237,231,220,209,209,183,158,98,0
1,1,1,1,1,1,2,27,92,149,168,179,172,174,175,156,129,60,6,4,5,5,6,6,7,26,44,9,1,1,1,1,1,1,1,32,115,146,173,181,179,179,173,155,132,77,28,16,7,3,1,1,1,12,45,18,1,1,1,1,3,7,16,39,123,146,161,178,179,177,170,157,131,90,60,48,38,26,16,9,4,2,1,1,3,6,10,15,23,33,45,54,102,141,157,170,171,172,172,158,136,108,91,77,64,55,46,38,33,28,24,16,30,47,56,55,59,64,68,78,98,136,159,167,173,166,171,153,134,110,92,101,103,79,71,82,92,92,77,71,87,92,110,118,113,97,96,115,123,118,120,149,166,150,165,118,69,50,58,54,92,137,128,117,113,110,107,127,132,130,132,132,121,138,151,96,81,66,72,94,144,149,151,96,62,50,54,62,83,125,143,133,151,142,161,153,163,159,161,161,148,155,120,94,75,68,66,85,116,141,145,95,58,52,73,61,57,84,153,149,167,173,178,155,158,183,178,161,159,156,88,73,91,90,75,78,112,147,153,98,81,68,59,48,56,87,153,170,159,174,175,165,167,177,179,170,172,135,102,79,72,83,79,94,127,158,163,111,75,61,47,47,54,73,138,174,161,164,173,166,162,173,168,166,173,133,136,109,86,83,77,109,130,169,181,146,77,58,44,41,55,75,118,175,166,166,171,161,160,172,170,171,170,121,112,97,67,72,64,118,150,178,183,152,66,54,43,42,51,65,96,174,171,170,172,159,160,171,173,176,167,110,104,96,79,69,72,124,142,177,181,148,99,92,65,55,63,74,102,161,175,171,169,157,157,168,173,180,158,118,124,102,80,85,82,115,148,182,180,163,127,94,67,57,56,64,95,159,180,172,168,155,155,166,173,184,158,114,97,91,71,82,99,121,152,182,183,164,139,114,89,67,65,67,92,149,185,173,167,152,151,166,174,185,157,106,111,113,111,118,122,144,160,185,188,180,160,120,98,82,79,89,108,147,188,173,165,150,149,165,174,187,155,131,135,125,107,118,115,152,161,186,192,188,169,143,104,84,82,88,99,152,189,175,166,152,150,165,176,189,168,154,143,129,112,127,139,171,170,189,195,191,174,173,161,111,97,95,106,145,192,178,169,154,153,167,178,190,173,149,162,144,134,144,152,171,177,190,195,192,179,178,178,169,125,121,119,148,192,183,174,160,157,172,180,193,172,154,164,157,144,134,157,172,178,191,196,195,181,181,179,178,163,131,146,162,190,191,181,169,163,180,187,196,175,170,166,158,145,136,167,179,182,192,196,197,187,184,182,179,173,147,151,167,190,197,188,178,173,186,193,196,182,181,191,190,185,182,186,184,185,193,198,198,191,183,179,178,175,160,157,163,184,200,193,185,181,191,195,195,194,197,197,198,197,196,194,190,187,195,198,199,195,188,186,186,188,187,181,167,175,201,196,191,187,194,197,198,197,198,199,198,198,198,197,196,195,198,200,200,197,195,197,197,194,194,196,195,187,197,198,194,191,197,198,199,198,198,198,198,198,198,199,198,197,200,201,201,198,197,195,195,192,193,197,197,199,200,198,195,194,198,199,199,200,199,199,199,199,199,199,199,199,201,201,201,200,199,200,200,199,198,198,198,200,202,199,196,194,199,199,200,200,199,200,200,200,200,200,200,200,201,201,201,201,200,201,200,199,199,199,200,201,201,200,196,194,199,200,201,200,200,200,201,201,201,200,201,201,202,203,202,201,201,201,200,200,201,201,201,201,201,201,192,0
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4,3,3,39,50,1,5,12,21,56,83,128,160,143,182,116,74,44,22,20,28,25,30,26,5,3,3,5,4,3,3,34,47,11,22,35,47,66,104,128,132,138,166,113,89,69,47,62,86,74,53,57,5,4,2,2,7,9,12,25,36,52,73,89,98,117,104,127,134,106,170,116,129,131,112,92,66,47,25,16,19,74,15,5,62,66,63,78,93,107,112,118,158,135,86,110,138,132,174,150,140,175,151,127,110,102,84,68,53,87,41,16,117,125,97,93,78,72,92,120,118,70,66,94,133,118,163,99,58,103,155,110,86,85,92,86,108,121,100,51,146,173,160,172,116,106,142,126,77,57,73,119,151,146,161,97,53,63,103,162,134,107,166,161,155,158,112,70,134,164,189,148,151,146,168,115,67,43,48,86,137,158,128,59,41,42,58,153,180,156,164,160,187,145,109,72,127,171,203,189,175,179,150,75,34,29,42,109,146,160,120,51,28,25,50,129,193,183,183,202,170,130,125,81,141,173,200,177,165,184,116,38,23,24,26,62,134,163,104,35,28,26,27,79,165,185,178,196,161,147,145,95,118,172,207,180,180,160,78,38,19,17,43,90,145,168,122,42,22,19,35,63,105,188,180,194,167,136,156,109,134,183,212,186,191,125,55,26,36,42,46,89,145,156,123,41,33,43,27,55,103,176,186,195,172,160,137,127,146,192,207,195,197,101,59,43,38,43,93,130,178,173,158,84,51,35,37,54,64,148,201,197,176,170,146,129,136,185,204,207,197,120,58,26,36,30,81,132,197,197,181,124,63,32,31,50,69,130,208,194,171,170,159,120,123,188,208,215,194,96,58,35,25,50,133,189,219,218,208,157,82,37,32,48,57,130,204,194,163,152,139,92,112,192,209,224,160,90,41,30,49,85,140,199,228,230,221,174,132,54,26,47,68,109,192,194,164,140,110,75,100,185,218,226,144,56,31,36,36,92,144,198,225,230,225,197,145,89,40,41,46,93,192,196,161,125,81,56,92,185,220,211,132,76,27,24,36,73,156,208,229,229,220,192,155,120,77,38,60,96,179,198,151,116,56,35,84,184,217,198,111,61,39,38,37,99,168,213,234,236,223,169,138,119,98,49,53,92,172,198,143,105,30,20,78,172,211,150,84,58,28,22,32,85,152,208,237,238,222,172,144,109,86,60,54,87,143,196,141,96,23,13,69,155,185,125,84,72,68,69,62,85,139,201,238,240,211,148,124,114,88,55,33,68,119,182,135,91,25,10,57,138,154,97,143,148,125,108,114,135,180,218,239,242,218,169,109,86,73,57,44,49,101,159,131,85,25,6,46,127,136,157,184,165,149,154,162,154,181,225,242,244,222,156,126,126,109,92,94,91,75,136,122,78,24,4,40,119,152,188,193,186,186,191,191,189,199,233,246,246,233,208,189,159,107,86,100,108,113,121,113,69,17,3,37,120,173,199,207,213,212,213,213,217,224,241,248,247,240,229,209,195,137,123,113,103,135,132,110,59,9,4,33,118,178,200,219,226,226,226,229,231,236,245,251,249,237,225,214,225,201,176,150,131,138,150,112,47,3,3,27,112,185,214,228,235,238,240,242,243,244,248,252,251,240,237,236,237,229,216,204,174,162,163,107,32,2,4,18,101,184,219,230,239,245,247,248,245,245,251,253,253,247,244,243,239,236,225,215,193,189,174,96,18,4,5,13,91,180,215,230,240,246,249,249,247,246,252,253,253,251,249,248,242,235,230,220,201,167,169,75,7,3,4,0
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3,3,4,4,5,8,16,23,41,54,73,91,108,128,130,113,89,74,65,42,24,20,12,7,5,4,3,2,86,54,26,20,23,26,29,38,51,64,74,92,109,113,113,107,92,81,65,59,46,33,27,34,56,52,75,79,218,191,162,124,91,53,57,78,66,79,94,98,109,100,103,116,104,96,90,83,82,71,90,112,102,96,112,122,213,194,152,56,124,138,123,97,78,61,47,69,105,97,108,118,87,51,68,99,121,134,129,103,110,144,139,137,223,213,197,105,128,128,134,114,60,39,27,54,95,100,104,114,67,42,57,87,123,121,118,122,134,140,131,174,231,217,198,158,145,138,129,76,59,51,36,60,91,120,121,117,65,42,50,45,72,130,133,137,92,80,79,165,230,217,191,172,157,149,99,42,18,26,32,73,96,119,128,114,59,28,25,26,53,99,142,147,154,174,180,189,227,217,201,179,162,132,63,36,17,21,30,63,102,134,144,122,63,32,23,17,37,74,132,152,161,181,175,176,222,212,206,183,171,117,60,24,10,8,21,67,109,144,151,147,107,42,15,16,36,56,116,160,171,180,166,165,224,213,205,191,174,111,53,24,12,12,23,61,112,155,162,151,115,47,14,14,23,57,108,164,177,180,175,166,223,212,202,196,170,108,49,15,9,11,18,55,145,169,175,161,127,35,18,14,28,51,107,164,181,180,177,162,220,210,200,196,165,95,55,31,13,13,35,86,154,178,181,165,128,40,17,10,17,54,96,160,177,176,169,149,213,210,202,196,157,99,58,30,13,14,31,97,164,191,189,176,143,64,46,19,25,38,90,149,176,173,157,130,205,208,200,195,151,93,52,38,24,28,72,121,176,199,199,178,143,68,36,19,21,44,78,144,172,168,150,108,191,203,197,197,143,98,61,39,22,45,96,144,196,208,208,196,158,89,52,30,20,35,80,135,168,160,141,89,173,191,195,194,137,96,64,54,42,75,97,154,202,212,213,201,173,85,31,23,29,43,71,130,158,147,128,73,165,184,193,190,131,99,77,66,51,76,85,174,209,218,218,210,190,128,58,37,37,50,78,119,149,139,117,75,152,173,191,181,133,115,74,65,56,75,116,180,216,222,222,214,196,158,100,49,55,50,76,113,142,131,99,67,139,168,188,173,142,107,74,57,78,91,156,197,220,226,226,222,210,179,146,91,56,65,67,110,138,124,86,64,120,160,183,163,127,95,76,67,54,95,163,203,225,229,230,228,218,198,180,141,67,66,82,98,129,113,74,73,104,153,178,152,106,111,92,55,46,100,175,209,228,231,233,231,224,209,193,167,114,53,80,94,122,105,62,63,90,149,175,140,112,100,67,57,64,103,193,220,231,234,236,236,230,219,204,177,143,82,70,91,116,101,52,47,82,151,170,129,112,71,91,93,96,107,205,226,236,238,240,240,233,229,222,208,178,122,72,79,110,98,44,30,71,154,162,131,151,196,208,213,215,207,222,232,240,241,243,242,239,237,233,221,202,172,140,89,98,99,39,11,58,161,144,180,207,216,223,228,233,237,239,241,244,244,246,247,245,242,237,226,210,189,155,134,88,98,35,3,50,163,159,203,215,224,231,237,241,244,246,247,248,248,250,250,248,245,240,229,215,196,166,141,102,92,30,2,48,159,184,209,220,229,236,242,246,249,251,251,251,251,252,252,250,247,242,231,217,200,172,141,109,89,25,2,59,164,198,216,228,235,241,247,251,253,254,254,253,253,254,253,252,249,244,235,220,206,182,151,120,92,24,1,0
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119,95,121,71,63,90,43,33,46,20,39,69,91,113,102,112,95,74,52,38,34,28,37,57,58,59,74,51,123,116,141,110,66,99,85,75,57,53,64,80,91,114,115,130,99,81,73,58,42,32,37,69,29,32,48,48,127,122,108,78,64,79,98,82,62,60,67,91,106,125,101,114,94,81,65,70,63,42,67,67,31,29,37,50,140,132,98,89,78,84,123,89,42,37,31,67,108,135,106,103,85,25,16,25,48,69,90,60,41,37,39,53,125,138,110,99,96,110,114,60,22,26,25,52,116,125,88,89,63,12,8,10,15,66,103,66,48,45,47,54,125,151,128,116,119,129,67,66,54,23,20,40,116,146,110,81,38,17,10,11,35,49,88,90,65,55,68,55,137,158,144,130,141,108,52,33,48,44,19,37,113,126,109,62,32,11,2,6,26,46,56,101,75,74,89,54,151,164,155,144,153,76,38,26,44,52,22,44,119,135,125,67,23,3,5,20,46,23,35,100,89,76,91,62,157,175,165,168,132,72,47,29,31,54,38,50,129,150,144,70,34,9,7,25,25,22,21,83,111,91,95,60,161,177,171,180,110,73,32,17,11,23,55,70,134,145,146,110,49,8,4,17,9,16,30,63,119,108,101,69,168,180,184,180,102,62,39,30,21,28,76,103,157,168,160,159,94,24,20,14,10,8,27,72,118,129,104,77,176,181,194,174,87,73,58,34,23,36,99,94,179,172,180,175,139,47,8,15,12,15,22,72,111,143,108,88,181,185,203,164,98,79,68,31,16,21,72,119,188,185,195,189,147,68,14,16,7,15,38,59,106,153,114,98,186,188,207,164,100,72,87,45,31,36,73,139,205,196,199,190,157,96,15,37,11,14,44,71,98,163,125,107,192,196,207,158,95,87,108,60,41,73,108,153,203,200,197,196,178,92,20,22,17,26,39,67,102,164,141,119,196,208,205,156,126,110,92,78,62,59,81,162,197,210,199,203,171,111,40,28,23,35,56,60,103,170,157,129,200,220,202,168,146,99,97,102,107,112,107,177,206,217,205,194,177,126,92,51,34,39,60,62,124,172,171,136,207,229,201,160,149,106,140,124,134,154,165,193,216,217,211,200,177,152,122,82,57,64,66,84,124,180,182,142,218,235,198,138,156,123,130,122,121,166,176,217,222,220,216,215,184,127,131,129,123,70,67,111,140,180,196,154,230,236,194,163,169,144,137,134,165,184,178,225,227,224,218,210,205,179,131,129,110,97,72,116,166,181,201,155,241,234,191,156,177,175,160,160,190,184,185,226,229,228,219,215,215,200,106,94,113,118,92,118,171,192,205,155,248,239,193,155,180,189,182,178,165,166,197,230,230,232,224,219,219,201,126,112,78,106,113,145,162,198,207,159,251,235,191,185,188,193,172,158,148,157,191,236,233,236,227,218,221,205,130,110,110,133,118,138,153,194,208,168,252,224,199,229,220,216,223,190,182,171,180,240,238,238,224,228,228,207,169,127,132,148,145,126,161,184,203,170,253,214,238,237,235,231,229,218,197,201,213,245,241,242,234,238,235,220,211,172,137,163,165,135,138,169,200,171,251,232,240,245,247,236,225,222,217,183,230,245,243,245,238,239,233,221,223,216,191,158,172,155,140,160,183,171,249,244,247,250,247,243,234,231,223,184,218,243,246,247,238,244,238,224,232,232,226,184,154,164,146,153,167,176,252,251,253,253,253,251,246,239,235,219,221,248,246,249,244,249,244,242,242,238,236,216,170,174,169,123,158,178,0
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7,8,11,17,21,50,87,131,158,176,199,208,214,217,219,219,217,214,208,202,189,138,69,41,28,24,24,50,1,1,52,4,5,7,15,31,59,94,168,186,194,198,200,201,200,196,191,186,177,153,132,95,64,27,12,39,2,22,38,49,6,7,9,16,26,37,100,156,174,183,186,185,185,179,172,159,116,80,75,62,56,50,27,37,4,24,51,62,21,23,21,27,30,37,62,118,152,165,171,169,170,160,145,108,43,27,20,10,7,5,4,31,7,11,20,31,46,55,75,75,58,58,76,99,125,148,156,151,153,143,124,80,38,27,21,20,14,8,6,32,18,17,35,60,83,96,84,114,124,108,81,66,78,103,132,129,136,118,106,89,68,67,66,54,40,29,18,39,32,36,64,106,148,143,123,109,123,97,76,56,69,91,94,104,106,65,44,80,118,115,92,66,54,42,19,38,47,57,100,135,154,136,114,114,81,48,52,50,65,95,107,117,92,47,32,54,78,101,97,98,115,82,40,47,68,83,128,151,148,119,102,85,50,37,40,52,74,95,109,124,86,48,31,37,33,67,81,85,121,103,63,62,62,87,134,154,141,114,102,60,37,25,38,52,66,102,131,133,99,59,27,28,26,51,83,83,102,116,82,72,73,91,136,147,134,113,91,47,33,30,29,52,76,108,133,135,104,67,31,25,17,45,70,90,103,123,89,80,79,104,134,138,127,112,76,43,26,17,20,42,77,117,138,137,108,72,27,20,24,36,57,90,103,112,75,81,92,117,133,132,128,115,65,29,22,16,29,52,93,135,151,148,125,85,47,24,19,31,53,91,104,104,81,82,94,121,133,128,129,114,55,29,14,13,28,55,97,150,162,157,132,96,62,19,19,24,48,90,102,89,76,82,93,119,131,131,140,112,51,27,17,22,48,77,126,162,170,166,146,109,76,26,18,33,45,85,106,94,85,92,91,117,133,137,147,114,53,41,38,43,72,102,153,173,179,177,160,136,105,63,31,38,55,89,108,91,77,90,97,122,142,147,155,124,79,54,51,57,75,155,173,188,188,183,169,152,121,99,62,53,68,91,118,100,81,87,106,128,146,156,164,137,81,74,81,70,96,174,188,206,212,193,179,166,152,130,98,72,83,89,129,109,84,88,109,138,153,165,173,151,142,148,153,150,136,193,200,216,214,200,187,176,167,152,133,103,82,104,138,122,91,85,116,145,160,172,178,174,172,173,176,179,183,196,203,220,223,210,195,185,175,168,164,155,135,111,145,141,104,89,129,151,165,178,184,183,184,187,190,196,206,234,221,238,234,217,202,197,194,187,179,172,168,159,154,154,121,98,136,155,170,183,191,194,198,205,210,215,219,224,225,231,230,223,214,209,202,195,189,181,176,171,164,161,134,106,143,160,178,196,204,210,213,218,223,227,232,235,238,241,238,233,226,223,211,201,197,192,183,174,168,161,137,112,148,171,193,211,216,221,224,228,232,239,241,241,242,245,243,238,234,233,222,206,202,201,194,185,173,163,141,118,167,190,213,222,224,228,233,238,242,245,246,247,247,248,246,244,239,237,229,217,210,207,204,199,189,173,147,123,187,208,226,229,231,235,240,244,246,248,249,251,250,251,248,249,245,241,232,217,213,213,211,206,203,191,162,134,205,224,234,236,239,242,245,248,249,251,253,253,253,253,251,250,247,241,230,222,220,220,219,212,212,207,182,157,220,236,242,242,243,246,247,249,251,253,253,253,253,253,251,251,246,242,228,226,227,222,221,219,218,218,197,182,0
52,69,108,60,91,78,25,29,36,41,46,77,111,124,132,147,144,120,109,93,84,49,23,26,22,8,2,1,84,102,143,119,71,112,98,59,61,62,83,116,124,121,141,126,142,119,113,79,64,48,37,37,34,27,24,32,96,124,152,133,106,86,125,123,103,82,106,136,119,136,139,124,121,111,121,101,72,57,71,45,43,80,94,63,120,113,143,112,104,129,129,151,85,62,66,48,109,141,131,125,117,112,98,114,119,80,92,89,138,145,105,105,125,123,112,106,106,135,128,61,59,70,32,37,73,144,138,140,107,46,36,49,106,117,116,163,145,112,130,164,97,128,119,122,137,133,72,44,44,56,44,31,71,137,132,130,77,31,14,18,63,121,167,155,136,127,165,154,99,140,130,132,152,97,52,32,18,30,68,43,87,156,134,112,45,23,14,31,78,96,127,145,126,124,165,170,98,145,139,152,119,56,41,16,11,8,34,63,116,160,139,100,65,27,15,31,57,55,73,150,125,135,163,171,101,146,143,163,87,57,41,21,17,14,30,37,135,177,162,126,60,30,35,35,27,27,54,132,154,136,170,167,112,146,158,159,81,38,22,12,8,6,35,76,143,170,173,159,109,32,24,28,22,33,47,104,164,153,160,167,121,152,178,138,58,38,31,38,24,17,28,64,159,173,188,181,137,47,24,26,9,15,53,99,163,164,175,163,130,168,182,110,74,37,20,14,11,15,39,60,169,186,192,184,144,70,14,19,10,15,42,93,148,179,176,155,144,171,174,109,62,29,20,13,14,13,38,100,186,189,197,190,138,54,6,3,8,39,61,72,145,194,174,154,142,182,170,94,52,44,37,21,24,49,72,118,184,196,197,188,155,47,8,21,22,49,65,84,141,203,180,167,156,189,152,114,66,45,30,22,21,51,104,159,197,207,201,197,162,70,41,53,39,49,39,83,144,205,183,173,158,189,134,109,50,57,62,55,39,61,65,161,213,212,205,183,159,66,48,28,24,44,66,105,168,208,195,184,165,190,140,100,73,83,56,54,74,130,128,201,213,216,208,192,136,76,63,22,19,20,68,109,146,203,201,195,179,199,125,106,73,45,36,49,103,120,129,208,219,223,216,196,149,80,80,53,37,48,74,114,150,207,210,202,192,185,113,94,72,55,68,65,143,72,116,213,223,225,209,196,172,62,50,34,64,71,80,104,154,205,220,207,205,174,104,98,114,121,102,52,84,95,148,225,223,228,220,209,198,144,63,62,65,76,81,109,151,208,228,212,216,143,100,113,108,95,75,62,95,75,166,236,229,232,222,206,192,170,78,72,72,69,65,128,168,204,232,214,210,119,133,86,98,95,89,88,85,93,177,234,239,234,224,215,193,186,109,65,84,77,78,136,192,193,232,215,196,166,142,151,148,127,83,68,107,101,210,237,238,241,236,217,202,210,183,113,68,114,130,138,184,193,232,214,195,214,220,225,229,212,160,73,88,102,196,240,241,244,236,221,209,210,217,195,113,118,163,159,159,199,230,212,212,226,231,235,237,235,225,188,95,110,201,241,249,247,239,227,215,208,211,212,192,139,161,171,169,195,225,209,209,226,230,237,240,246,240,234,221,161,228,248,251,251,246,232,231,234,235,234,222,168,130,149,180,180,219,200,202,221,231,241,246,242,239,236,235,229,245,250,250,251,245,235,241,244,248,246,242,213,174,149,164,159,204,192,203,225,241,250,253,248,246,243,240,238,248,254,254,253,249,250,248,248,251,251,249,240,204,202,146,144,183,187,0
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36,3,1,2,8,22,38,51,76,91,91,97,95,99,106,99,85,80,80,76,60,52,46,40,33,29,28,31,48,54,49,47,46,50,58,79,92,81,84,99,95,98,103,97,75,56,56,75,88,81,80,85,91,88,76,70,62,66,73,84,91,93,102,108,76,65,76,91,97,100,108,89,68,58,60,71,89,102,94,87,81,85,85,82,86,86,81,79,90,107,116,118,107,86,89,105,103,106,109,96,76,59,56,61,71,82,101,98,100,105,104,86,107,113,108,101,106,111,107,112,115,108,108,110,100,110,113,98,74,60,55,55,57,65,92,98,94,105,107,87,102,112,101,102,117,102,97,111,116,108,109,114,111,117,118,107,79,53,51,50,53,60,73,98,90,91,100,89,102,96,92,99,122,117,117,111,107,108,114,120,111,121,120,111,88,56,52,45,70,71,73,91,97,91,96,89,100,94,97,111,131,141,116,111,109,109,120,126,121,125,125,117,93,54,54,46,52,61,67,83,104,94,95,87,96,96,101,122,128,127,123,119,115,109,119,123,123,130,127,120,93,61,57,47,48,62,66,82,107,100,96,82,94,100,108,131,128,134,125,118,117,125,128,132,136,140,134,129,107,83,75,64,64,67,78,97,110,105,91,79,87,105,120,136,136,134,130,132,126,126,125,129,141,146,142,132,114,94,84,69,79,90,95,98,107,109,90,81,83,110,130,139,138,139,136,132,125,125,128,136,143,148,146,141,124,101,99,86,86,96,105,96,100,111,91,82,90,114,139,138,148,147,139,136,136,137,137,143,147,153,152,146,135,119,106,96,89,103,105,91,108,111,95,84,100,117,144,147,150,149,147,149,145,142,140,147,151,158,157,152,136,124,106,92,86,101,101,90,107,115,96,86,107,123,146,153,155,156,153,149,145,147,151,154,156,161,161,156,144,135,119,94,96,104,98,96,97,117,99,90,113,128,147,157,163,159,155,154,155,154,154,154,159,166,165,160,154,136,120,100,97,95,87,90,102,116,102,89,118,132,147,158,164,163,163,163,160,157,158,159,164,170,169,166,153,139,129,106,91,96,97,89,104,117,103,85,120,135,151,157,165,168,167,165,165,167,163,163,167,172,173,170,156,145,137,126,98,92,91,96,105,121,106,82,119,137,150,160,165,166,168,170,171,166,161,161,168,174,175,173,159,148,139,126,104,95,92,99,110,122,107,83,118,139,149,159,164,168,171,171,169,166,165,166,171,175,176,175,166,159,148,136,115,108,103,99,109,122,107,83,119,140,149,156,165,171,171,172,170,171,170,168,172,178,179,178,171,167,160,147,129,122,122,115,111,123,106,86,117,141,148,158,165,169,172,174,175,172,169,169,172,180,181,179,173,164,153,143,133,126,123,122,123,123,107,84,115,140,148,158,163,169,174,175,174,173,171,172,176,183,181,180,172,163,156,146,139,135,127,124,125,125,106,79,113,139,145,154,163,172,173,174,175,175,177,176,181,186,183,181,174,168,162,152,144,138,130,123,121,123,103,59,103,137,140,153,168,173,175,177,178,180,178,177,182,187,185,181,171,167,165,158,147,139,132,123,119,120,97,29,107,138,147,160,169,174,179,181,184,183,180,180,185,188,186,183,172,167,162,158,149,139,130,124,117,111,74,19,115,138,151,164,169,176,182,186,187,185,183,183,188,188,186,184,175,168,163,156,150,137,125,116,107,101,69,18,126,148,156,163,170,174,181,183,184,184,184,182,185,185,185,182,172,165,160,153,147,141,130,116,109,95,62,15,0
23,21,22,18,16,24,20,17,18,14,5,58,90,125,147,132,134,102,77,9,12,17,43,29,20,17,19,20,17,20,36,19,25,34,29,20,17,14,4,62,96,127,133,119,135,100,72,3,10,40,48,41,41,16,18,19,17,15,30,26,28,56,29,13,12,8,7,82,115,136,141,134,136,104,73,1,9,25,28,40,24,42,19,17,16,15,14,25,44,41,25,6,6,21,60,95,123,143,157,149,140,123,94,30,13,25,10,22,33,30,25,19,14,13,9,33,19,16,15,39,52,68,87,110,126,135,136,138,139,136,123,76,69,41,22,22,20,16,17,16,10,6,7,37,47,63,82,82,82,87,102,121,126,140,134,136,142,143,144,106,76,79,84,72,45,24,22,14,7,33,71,87,82,95,109,111,104,108,127,114,120,140,129,139,139,145,148,118,99,101,109,111,104,84,87,55,52,91,110,124,118,125,134,132,135,139,126,101,116,143,127,140,141,111,124,144,135,143,145,140,129,129,120,98,84,97,98,114,116,106,107,122,141,129,124,112,122,147,138,145,135,116,119,142,147,141,123,105,123,119,108,94,107,125,135,130,145,136,119,133,131,97,103,114,132,151,142,146,132,111,109,116,128,134,126,124,146,142,129,133,114,125,135,139,152,133,137,139,118,101,100,111,121,152,150,150,137,116,112,100,110,144,128,126,138,148,158,139,116,122,134,142,149,147,151,124,100,83,92,103,126,157,154,164,153,128,96,95,100,137,144,134,136,147,153,145,114,122,125,146,156,151,149,113,85,82,84,93,109,162,160,164,154,129,95,83,98,114,151,143,146,146,135,124,112,112,120,149,158,150,141,111,89,68,77,100,129,165,165,169,159,109,96,108,91,102,143,154,154,140,129,111,110,106,127,147,155,155,135,107,95,81,81,83,123,167,169,168,158,110,95,92,97,112,137,162,151,138,127,106,100,102,125,138,151,161,128,112,96,82,89,106,139,165,175,170,160,127,111,104,98,121,134,160,147,136,124,105,85,136,133,134,155,160,131,104,100,99,96,109,143,175,183,173,160,141,123,106,115,130,132,162,150,134,119,90,68,136,115,135,157,160,127,107,87,83,110,130,149,179,186,180,166,133,115,106,112,120,137,161,155,134,116,53,64,12,68,139,157,150,135,112,114,112,128,133,158,187,190,186,177,164,133,113,104,134,136,151,159,137,103,13,88,25,99,138,157,143,123,124,116,102,131,130,167,191,193,188,179,168,158,159,137,134,129,140,159,139,97,10,92,44,120,135,154,135,129,118,122,128,137,148,176,193,197,194,187,175,166,161,152,134,129,132,152,142,115,18,82,45,120,138,147,132,122,124,127,138,139,158,180,199,202,196,190,182,175,174,164,142,133,133,141,144,120,70,64,62,117,142,141,121,125,124,115,136,142,168,188,201,204,201,195,186,178,175,175,163,141,135,148,146,121,74,36,60,115,147,127,118,96,109,118,133,129,170,195,206,207,203,200,192,183,182,178,162,145,137,146,143,124,78,13,55,116,147,109,127,157,166,170,168,182,188,200,211,211,205,201,195,186,193,183,168,151,143,146,142,127,80,4,48,119,140,128,154,162,170,182,193,198,200,206,213,214,211,207,200,199,196,185,173,159,146,146,138,129,79,4,42,121,139,150,160,167,179,191,199,205,205,210,219,217,213,209,208,205,197,185,173,164,151,143,140,129,77,5,41,122,148,160,165,175,184,194,204,210,212,216,221,220,217,210,207,205,198,186,176,165,155,146,141,126,71,0
5,4,4,4,4,8,11,23,31,40,63,86,109,138,141,137,133,102,85,64,40,27,22,16,9,8,7,3,1,2,14,38,57,63,69,63,54,55,70,98,114,141,133,133,132,110,93,72,53,46,52,58,62,64,61,47,14,46,71,86,95,96,92,84,71,67,97,116,123,147,131,137,136,123,112,97,72,66,80,90,98,106,100,107,71,113,134,123,126,125,134,125,123,122,107,99,122,145,131,134,136,114,94,102,114,123,124,125,116,117,117,118,83,111,134,134,134,130,112,129,125,112,88,73,94,135,131,134,129,82,73,88,103,116,131,111,114,142,129,132,103,134,148,155,153,134,128,125,72,66,78,73,93,124,132,145,118,71,68,73,62,68,112,135,117,119,130,139,121,140,150,160,138,140,138,91,62,51,70,73,83,117,140,152,112,77,72,72,47,64,88,126,133,124,133,147,126,134,158,160,144,150,111,70,55,46,53,57,66,119,136,153,108,59,57,47,51,54,66,102,145,124,131,135,120,138,157,155,147,146,93,65,54,46,46,57,62,132,148,160,138,75,49,47,40,47,71,93,139,133,131,127,143,135,154,152,156,123,85,62,52,45,48,49,70,137,150,158,137,87,55,45,38,50,67,85,134,144,131,122,138,139,149,151,161,116,75,60,50,34,42,71,90,145,155,157,139,91,72,44,42,52,58,78,121,154,138,124,133,132,143,156,158,111,64,54,45,50,70,89,114,148,157,159,138,98,97,83,57,44,47,79,117,161,145,126,118,121,138,158,141,81,75,60,43,39,62,106,124,159,158,162,149,103,94,65,52,53,72,80,87,159,143,116,107,114,134,159,125,68,50,56,64,58,91,85,125,156,156,163,152,125,82,58,52,53,58,66,95,144,139,103,90,108,133,154,97,63,51,53,75,74,93,91,137,158,159,166,165,145,129,112,80,75,59,58,77,132,137,99,72,95,129,150,71,70,65,52,54,57,70,95,139,163,162,168,165,139,142,138,109,68,71,83,83,118,137,91,49,82,128,134,75,44,44,51,56,65,78,109,145,161,165,170,168,147,150,144,131,100,68,67,77,122,136,85,37,82,128,108,66,95,117,117,112,92,77,116,136,162,165,170,165,138,133,130,119,125,132,125,106,112,129,82,31,86,131,82,122,143,144,138,150,157,150,140,138,161,164,170,162,133,125,130,138,150,153,157,153,127,130,81,24,85,124,121,141,147,153,157,165,167,164,156,147,165,170,175,172,148,164,154,154,166,159,156,157,143,128,74,22,87,122,141,150,159,164,170,174,173,174,173,167,177,177,179,177,168,170,173,176,170,148,152,152,146,124,72,19,82,120,140,156,164,171,174,174,175,176,178,178,181,180,180,178,171,171,172,168,168,166,166,156,144,128,68,11,78,118,139,155,169,172,172,170,174,176,177,175,181,180,180,175,170,174,172,166,171,171,167,164,147,127,63,3,70,116,139,156,165,163,174,181,177,164,170,171,178,175,180,178,175,172,174,168,163,168,160,162,146,123,59,1,56,112,138,155,160,164,174,179,169,163,173,174,184,183,181,180,168,168,170,174,164,164,159,152,147,116,52,1,43,101,138,146,158,168,174,177,173,180,171,170,180,182,180,176,174,177,177,178,172,162,161,144,137,112,45,1,36,95,131,144,155,162,174,178,181,180,171,174,181,178,186,180,182,179,182,182,175,160,157,141,123,104,37,1,25,89,128,133,144,155,165,173,175,178,178,177,186,184,191,184,184,182,185,187,174,152,145,124,113,95,30,0
31,8,8,8,8,8,10,14,25,59,84,105,139,117,146,101,87,50,27,19,13,9,8,8,26,31,8,8,37,13,37,29,12,22,34,36,50,74,96,111,127,82,131,107,98,76,51,47,46,36,21,28,31,20,8,8,8,8,27,35,44,64,60,65,72,92,108,108,138,110,145,113,117,107,84,77,74,68,73,123,101,42,11,8,8,15,36,56,71,86,96,98,110,129,121,111,134,96,132,119,103,124,130,136,125,127,122,127,118,90,59,29,26,61,89,108,121,149,145,156,132,84,64,91,139,127,159,112,83,96,116,134,177,147,133,119,117,123,141,110,124,136,141,140,166,156,187,126,105,91,78,102,129,124,163,119,78,77,56,55,119,167,154,176,191,177,173,136,127,142,149,170,140,182,118,67,53,67,61,90,130,154,182,94,68,69,51,60,81,158,168,173,209,212,180,140,153,194,214,177,170,172,126,55,39,52,64,86,123,151,166,89,65,31,37,34,50,116,200,163,172,224,186,149,175,208,198,175,207,122,73,36,25,25,29,41,105,160,156,57,31,21,54,51,62,91,187,182,181,220,203,168,188,222,193,197,183,116,79,43,28,24,36,59,100,169,168,101,36,30,27,29,56,87,185,193,194,209,202,191,198,222,207,209,170,98,57,43,25,20,25,28,104,171,172,109,21,32,32,37,45,77,153,209,196,214,187,198,181,213,215,223,139,107,70,53,33,32,44,54,117,163,164,120,42,48,33,33,56,91,131,215,197,218,185,182,185,207,219,228,141,100,45,36,22,18,33,74,141,175,176,141,71,45,23,27,42,59,119,210,206,212,186,176,179,198,220,229,118,74,54,43,30,25,49,88,147,173,176,142,90,66,41,57,59,69,114,180,216,204,180,178,181,197,220,212,125,81,47,34,33,21,75,111,166,173,198,165,75,68,38,37,41,79,116,181,224,199,165,181,175,202,224,216,119,61,31,29,26,25,76,90,155,181,209,159,91,41,49,33,38,69,83,172,230,192,158,168,164,201,229,204,99,73,45,36,39,66,74,97,170,199,218,184,132,88,55,57,70,71,85,147,232,188,159,155,161,195,234,186,114,73,56,49,35,48,57,122,200,215,225,197,155,118,88,59,65,61,91,143,226,187,149,143,155,199,237,172,100,54,49,40,45,71,86,141,207,221,231,212,179,161,145,91,59,54,73,118,224,178,139,125,146,189,235,131,83,63,53,50,58,68,117,153,206,227,235,219,184,198,184,152,83,74,61,81,210,179,133,108,125,180,220,94,73,73,52,95,121,89,98,142,203,229,237,218,191,183,189,173,107,62,67,90,182,178,130,86,112,171,191,94,53,70,126,122,132,128,128,159,217,231,239,223,206,203,170,144,106,47,56,60,158,178,125,60,100,163,168,58,84,148,168,166,182,165,159,176,222,235,241,222,180,176,142,140,162,113,62,27,102,179,116,45,87,159,124,80,150,175,196,205,195,178,184,195,228,239,245,216,178,176,152,185,197,171,139,77,59,176,104,28,68,155,91,142,188,206,212,212,210,206,208,219,239,245,249,239,192,126,121,141,198,194,170,128,90,163,89,19,48,146,120,181,212,216,218,222,232,230,236,237,247,250,251,245,213,200,214,216,208,210,197,159,143,158,76,13,34,136,160,211,218,229,232,239,244,245,244,244,251,252,253,245,232,234,239,241,241,233,214,193,151,173,67,10,26,125,190,212,233,240,243,249,250,250,250,249,253,254,254,249,244,247,249,247,246,241,235,215,170,173,56,8,0
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65,79,89,83,83,88,95,94,98,101,100,100,102,108,118,117,117,113,99,85,71,53,41,26,14,7,4,2,97,119,119,118,118,111,111,116,120,131,140,141,139,138,146,137,139,141,128,121,113,103,91,78,64,47,35,25,117,139,148,163,168,163,153,162,166,166,167,169,167,171,168,150,162,172,170,168,157,144,130,115,110,104,88,72,145,160,174,184,192,191,189,185,186,180,161,149,149,175,181,169,179,182,160,166,190,172,163,157,140,124,111,98,165,176,186,190,185,176,181,192,169,124,96,94,119,180,181,173,187,167,135,140,153,182,189,184,179,176,173,154,178,178,188,186,177,173,189,169,133,102,86,83,92,152,180,182,187,114,89,83,92,120,164,196,189,192,191,168,176,176,179,179,178,182,186,146,112,85,76,72,78,130,173,182,172,100,85,78,90,109,130,177,182,177,188,178,169,172,173,178,180,189,167,133,108,88,81,76,81,129,174,187,163,93,71,68,73,89,117,160,197,177,185,182,168,172,174,178,185,193,162,118,90,79,74,78,92,152,182,188,180,141,80,76,79,96,119,155,190,184,187,183,163,175,176,178,188,187,154,117,88,74,71,79,115,167,185,188,181,143,86,76,78,94,115,151,191,190,187,178,166,177,179,180,192,181,152,119,99,82,91,92,143,173,189,187,186,159,94,88,81,89,115,155,185,193,183,175,165,175,178,183,194,168,139,108,90,77,81,101,158,171,189,185,183,167,107,87,80,99,134,167,186,193,181,176,163,177,178,186,192,177,146,107,85,75,83,111,159,181,188,189,189,184,130,86,81,87,113,154,185,196,183,176,163,179,179,189,184,150,121,86,71,72,105,124,164,188,185,189,186,177,132,90,86,93,115,144,173,197,185,177,163,181,180,192,168,146,114,87,78,102,119,115,176,187,185,190,190,171,146,88,75,80,102,138,179,197,188,177,163,179,183,192,172,134,99,79,76,86,92,97,178,191,187,190,190,170,156,127,84,82,105,129,155,186,191,178,160,184,187,191,160,126,88,72,78,88,87,102,181,192,188,192,186,169,165,149,114,88,106,146,161,175,195,178,156,184,193,178,159,139,102,88,87,87,82,111,182,194,192,192,182,171,177,164,148,126,100,119,156,184,195,174,149,185,195,171,152,142,128,101,77,75,81,121,172,195,193,194,174,170,174,165,166,157,137,127,155,180,191,164,142,184,191,163,177,184,177,160,147,117,85,115,182,195,194,193,177,175,175,170,167,170,158,139,161,168,183,149,132,185,181,181,184,188,185,184,181,174,163,169,201,193,195,189,172,170,175,174,172,170,157,140,141,158,167,139,126,183,183,190,191,187,185,185,188,186,186,185,197,191,197,185,165,166,173,173,174,176,157,121,123,143,157,128,125,180,189,191,187,183,183,183,187,183,179,185,198,194,198,176,155,161,162,159,162,165,164,137,115,124,147,122,124,179,192,188,187,184,184,185,184,182,179,185,197,195,197,172,161,174,179,177,182,185,195,186,154,120,130,116,124,180,191,190,190,189,188,186,186,186,185,189,199,196,195,177,184,189,187,191,190,177,177,182,175,145,117,108,125,180,192,191,194,194,191,190,190,192,189,192,199,172,154,168,193,195,190,194,196,182,172,164,159,148,120,101,128,176,190,191,193,194,194,193,195,194,192,198,201,172,158,165,184,192,194,193,192,187,172,164,146,134,121,96,130,167,185,184,186,188,191,190,189,189,189,193,191,187,186,185,183,189,187,184,179,176,170,158,141,126,112,91,0
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5,4,4,3,2,1,2,4,6,8,14,38,71,99,129,116,132,94,61,29,10,7,6,6,6,6,6,6,2,0,0,0,1,2,6,11,14,80,23,47,76,104,127,118,136,95,70,38,20,14,9,6,4,5,6,6,1,2,6,10,13,16,18,21,24,29,35,63,94,113,123,122,139,107,82,51,30,24,18,14,11,9,7,6,5,15,31,40,35,38,56,67,55,51,68,99,107,127,130,113,148,121,106,76,49,53,59,42,28,22,20,16,14,25,42,59,75,75,68,73,105,129,135,85,69,117,124,111,150,120,117,129,122,111,81,58,54,55,48,35,21,52,86,98,96,120,125,100,117,153,134,79,67,98,123,126,138,90,103,163,159,112,95,119,110,80,78,68,29,61,94,123,138,165,163,133,159,118,86,67,84,113,125,139,128,99,98,124,162,161,132,158,145,116,113,91,35,81,108,140,161,169,150,154,133,61,51,48,65,94,142,162,109,80,62,94,117,164,162,176,158,146,126,100,43,101,131,156,172,184,165,173,97,61,48,47,65,118,158,180,121,90,63,63,67,142,183,179,174,161,143,122,55,122,149,143,161,189,188,152,95,48,31,36,44,104,162,185,98,61,46,55,68,103,194,190,187,153,146,139,68,140,151,146,163,187,204,142,74,49,39,46,53,122,184,197,132,64,43,42,53,105,180,203,182,160,137,154,87,151,148,154,170,186,219,145,104,58,32,37,41,116,191,205,116,47,40,45,55,90,174,212,181,161,145,160,110,160,140,160,181,197,219,164,117,82,47,57,72,153,206,211,118,55,38,37,59,99,159,219,190,169,151,163,128,166,126,159,187,210,213,164,138,99,40,41,63,155,217,212,126,70,46,37,49,95,163,222,197,175,149,164,134,149,108,140,186,219,203,179,114,82,64,66,91,180,223,219,154,92,46,37,53,85,160,217,201,173,131,153,134,127,88,117,177,217,202,139,95,81,71,93,99,188,221,227,154,108,61,39,50,97,141,207,199,158,108,129,138,104,65,95,171,217,174,113,71,62,82,134,136,195,224,233,166,130,65,54,74,81,125,193,201,143,91,104,136,81,37,82,166,211,155,90,67,70,96,127,172,208,233,238,191,166,114,52,58,94,110,188,204,132,63,82,122,66,25,74,163,208,122,102,84,67,84,138,189,222,235,239,187,180,162,131,89,90,129,175,209,122,49,71,104,51,20,66,161,196,118,101,95,91,104,153,207,233,238,240,201,194,172,168,168,104,118,169,209,112,38,59,80,37,17,62,161,188,114,105,132,143,130,150,206,239,240,234,191,192,192,181,184,136,123,164,203,104,34,47,57,27,14,59,160,174,173,201,199,192,201,206,219,240,244,241,206,188,184,183,189,162,140,173,198,97,29,38,46,22,10,57,162,195,217,218,217,219,224,224,219,240,246,242,204,218,221,220,217,215,173,163,195,88,24,31,36,17,6,51,160,208,215,223,234,231,235,232,229,246,246,242,232,223,217,220,225,220,213,183,184,75,15,26,29,12,2,44,154,202,216,230,232,233,235,243,246,250,249,248,246,233,222,216,220,217,206,199,174,60,9,21,24,7,1,39,154,194,224,227,232,239,246,244,242,253,253,245,238,245,240,236,232,221,207,195,163,48,4,18,20,4,2,37,151,200,220,229,240,244,244,246,246,252,251,246,243,245,246,240,230,225,215,186,156,37,1,14,16,1,3,40,150,206,218,232,243,244,246,246,252,253,253,251,244,248,245,242,219,217,220,184,152,32,0,12,0
1,1,1,7,24,45,61,65,74,79,120,135,157,156,156,129,118,81,61,59,57,48,31,15,6,1,0,1,1,5,22,52,80,96,95,104,99,109,126,140,154,152,155,131,110,96,97,99,97,103,100,81,53,19,3,1,6,39,87,104,115,129,131,116,121,90,67,101,150,143,153,95,68,52,81,132,136,131,113,107,102,76,24,2,27,86,99,122,127,137,136,154,114,70,50,75,131,142,147,73,48,59,91,122,131,125,140,133,113,89,46,9,45,92,123,134,154,138,138,138,119,96,66,80,126,151,155,98,73,77,72,87,134,128,142,146,134,115,68,22,64,115,138,147,152,144,153,118,87,86,87,91,130,149,169,146,86,62,57,78,123,142,143,151,141,130,91,35,81,125,142,157,160,152,154,117,81,64,72,84,130,157,172,151,78,50,47,69,114,155,149,157,140,136,106,51,95,131,139,152,158,162,151,112,77,58,71,88,137,164,174,126,71,50,55,77,106,158,154,148,143,139,116,70,106,133,142,146,156,170,146,118,84,57,58,64,143,171,179,95,53,53,51,71,113,158,157,146,143,140,119,85,112,138,148,151,157,171,146,110,74,59,69,68,144,177,177,121,88,70,63,79,106,160,160,149,146,145,128,94,121,142,150,154,157,173,140,111,84,66,70,91,147,186,179,134,109,65,65,80,116,158,161,153,148,147,134,100,128,145,147,156,160,174,140,109,79,64,75,105,151,187,180,139,112,88,68,77,107,159,163,155,144,145,135,106,131,147,144,151,162,175,142,99,76,78,104,125,159,188,187,169,102,104,83,95,111,154,167,155,141,143,137,111,139,141,141,151,164,179,142,110,86,76,110,128,156,191,192,185,135,98,96,109,127,155,170,158,141,136,135,120,142,129,141,154,165,180,153,119,99,81,102,119,162,192,195,190,173,134,117,118,122,154,174,158,138,129,129,125,138,124,135,153,165,181,147,116,104,105,108,136,172,197,200,198,185,170,146,124,129,147,182,160,130,120,125,129,131,116,122,151,167,186,143,128,120,119,121,143,175,196,204,204,197,183,169,143,136,155,187,167,126,108,119,136,125,105,109,154,174,186,150,139,127,116,124,147,177,198,209,210,201,189,183,167,138,154,189,174,134,91,112,135,119,92,116,162,180,186,155,140,139,140,138,158,178,203,212,213,201,189,182,177,154,154,186,180,145,85,108,129,114,82,123,166,184,186,158,170,185,186,184,185,185,202,213,215,196,185,177,168,163,157,180,186,155,87,103,122,108,76,131,170,188,182,184,202,199,198,198,199,197,211,216,217,192,191,182,172,159,161,176,190,162,94,94,111,99,72,137,171,192,189,207,208,206,206,207,208,208,217,219,221,198,200,202,197,191,173,177,193,166,91,83,102,90,62,127,173,196,206,214,212,214,214,215,216,217,219,222,220,192,200,214,204,202,200,185,196,170,63,70,93,77,31,107,175,197,212,216,217,218,219,219,222,216,216,222,215,184,206,214,215,210,207,200,194,159,35,56,85,61,15,69,171,194,213,218,221,224,224,224,224,214,221,222,223,195,220,218,215,217,213,207,188,133,13,45,78,46,7,38,165,192,212,217,223,225,225,226,222,220,222,221,224,214,220,219,216,214,213,203,178,88,5,35,74,34,4,14,146,185,209,218,225,226,227,229,220,221,225,223,219,221,221,221,219,214,209,195,158,56,2,25,69,25,3,7,138,188,210,221,226,228,229,226,224,226,229,227,223,218,220,222,220,213,204,182,142,93,45,74,121,0
14,14,13,14,14,14,13,14,14,17,34,63,76,122,157,153,134,121,85,64,18,13,14,14,14,14,14,14,14,43,22,14,13,18,24,31,40,45,64,103,106,134,189,195,172,133,107,93,35,25,20,17,14,14,14,14,13,21,38,53,55,56,67,67,80,81,91,136,148,156,204,173,192,144,134,105,62,52,51,47,41,26,20,19,34,82,127,140,124,123,104,105,114,128,118,117,126,158,203,166,197,157,159,136,94,82,74,84,90,92,95,83,76,101,120,143,156,152,158,170,151,82,56,42,55,109,187,156,197,105,65,67,119,144,155,142,120,121,122,115,92,135,157,167,207,178,148,150,74,78,74,49,58,101,149,157,138,67,45,51,87,131,163,125,169,177,139,139,118,138,146,186,190,158,178,76,41,36,53,61,61,137,164,177,118,58,51,56,50,55,136,141,117,166,162,150,121,140,162,205,187,190,126,56,43,32,34,40,65,148,170,188,104,54,47,42,31,34,76,162,134,158,179,133,157,151,156,193,193,196,82,36,31,31,31,37,45,144,187,198,85,38,31,23,25,40,56,144,154,153,153,127,153,166,167,193,201,157,60,44,33,29,29,39,57,141,202,215,155,39,34,27,33,35,44,128,182,163,140,121,139,152,167,200,217,116,46,34,29,26,29,39,56,160,208,220,158,39,41,27,24,31,50,99,202,174,150,135,72,93,179,196,207,79,57,46,46,39,32,60,85,177,225,222,174,91,52,39,40,42,44,87,204,179,158,144,19,78,177,205,171,86,66,48,39,41,47,71,84,191,221,227,158,117,77,36,34,40,47,82,188,177,167,116,18,83,167,210,151,94,78,78,69,61,72,117,124,214,220,236,205,150,103,71,52,45,55,86,179,184,152,108,19,96,163,204,141,125,97,80,73,63,89,96,137,208,221,237,216,178,100,65,62,72,85,91,164,203,150,103,24,111,171,193,147,110,94,74,77,95,102,107,198,225,227,243,234,195,172,90,71,70,82,123,151,214,167,100,21,118,184,174,130,119,105,95,81,73,85,115,196,235,236,245,236,190,199,122,79,82,92,114,163,220,176,116,20,122,197,148,130,121,91,87,90,84,81,152,189,234,238,247,239,203,206,164,78,83,104,124,154,223,180,127,17,117,193,138,103,95,101,90,87,75,84,132,183,233,241,248,240,196,214,205,128,81,94,129,156,217,184,122,13,95,193,111,101,101,97,78,57,64,74,119,187,233,237,250,236,195,197,190,148,87,106,116,148,208,187,112,13,46,186,116,108,87,88,115,128,133,114,123,196,230,217,252,227,188,200,171,135,102,103,114,127,198,181,93,14,30,139,129,100,154,182,199,204,202,196,172,200,220,215,251,192,156,155,138,126,95,78,111,122,193,176,42,14,27,96,111,146,205,217,216,216,219,214,204,214,222,227,247,198,173,147,137,184,183,135,100,137,201,115,16,14,23,79,86,167,213,218,219,227,236,237,229,228,243,240,243,210,203,154,145,181,216,213,165,140,187,49,14,14,19,69,108,119,170,197,215,227,229,229,232,241,242,246,243,227,235,240,233,237,229,229,212,141,132,39,13,14,14,56,130,141,157,188,209,221,228,233,237,248,242,246,248,237,227,191,202,230,233,223,162,116,108,34,14,14,13,42,114,155,180,199,214,227,236,239,239,245,248,251,246,243,236,210,172,203,205,198,172,158,90,25,14,14,13,39,113,152,184,207,226,241,245,247,246,250,240,254,249,248,248,249,235,207,209,201,168,164,80,18,14,0
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10,17,15,22,8,6,20,33,60,98,129,145,193,171,185,135,120,96,89,139,163,119,120,164,133,134,106,106,90,152,139,89,129,138,99,80,85,109,142,142,180,151,182,147,143,145,172,168,121,125,168,160,149,133,134,127,135,210,204,181,149,166,194,151,126,132,157,149,178,162,185,166,166,193,182,162,167,172,182,173,151,110,92,102,147,170,162,176,202,154,150,189,194,178,179,167,180,175,193,181,170,156,174,182,181,165,168,176,152,98,81,79,163,175,164,167,209,193,188,184,191,204,176,155,181,179,192,183,113,106,123,112,165,181,168,175,148,98,78,62,161,141,147,175,190,182,181,195,188,155,132,143,169,196,204,189,124,107,82,80,119,160,177,176,150,103,75,47,130,128,130,172,193,180,184,194,137,126,134,137,159,191,201,180,88,57,65,85,95,125,178,183,153,125,85,47,119,120,120,167,193,181,199,166,106,99,73,106,163,197,207,191,155,74,51,60,66,97,163,191,160,140,111,48,91,101,143,164,194,193,187,126,84,69,49,61,121,198,207,189,153,83,61,65,82,111,146,195,167,150,134,71,57,103,163,168,188,207,155,122,109,86,72,92,139,205,207,195,185,115,62,54,71,90,134,195,174,159,144,116,48,123,168,172,189,205,169,112,85,60,48,69,134,200,209,190,187,144,97,80,91,108,136,180,186,172,156,139,52,144,166,177,194,202,145,116,109,99,94,109,168,208,213,207,201,171,107,67,74,90,139,179,193,180,171,158,58,144,166,181,196,199,164,123,90,82,78,126,160,208,211,206,198,188,152,100,82,86,110,154,200,183,179,170,47,145,172,184,200,199,138,88,89,99,120,146,164,208,216,212,210,201,186,171,128,122,148,155,200,187,186,177,42,148,175,185,203,178,141,130,117,97,99,123,172,209,215,214,206,203,196,194,178,122,113,162,204,192,181,159,22,146,174,189,206,184,146,124,105,111,127,136,197,212,218,217,210,202,195,198,201,177,119,137,204,198,176,139,92,118,173,194,210,191,121,138,153,147,98,102,179,213,220,216,210,206,198,196,191,182,137,154,184,204,164,124,68,90,169,187,214,173,188,194,190,185,180,161,183,211,219,216,208,200,192,189,193,193,171,167,190,211,155,106,22,75,150,188,215,196,200,200,203,201,189,180,178,205,218,218,208,206,189,190,197,201,194,180,203,213,153,89,15,59,122,187,216,210,203,206,203,202,201,204,201,208,216,216,207,195,194,206,209,203,195,189,200,213,154,70,3,41,99,182,218,209,212,203,202,206,204,204,204,208,217,217,205,198,201,203,206,208,204,196,201,213,158,68,0,14,74,163,218,211,208,207,209,207,207,209,211,211,217,216,211,207,209,210,208,206,202,203,199,214,168,76,0,0,41,135,219,212,208,213,211,209,212,211,208,207,215,215,208,203,205,207,210,200,192,205,205,206,179,92,0,0,29,124,215,214,213,210,210,214,213,209,204,203,213,214,210,203,205,202,192,200,205,205,207,199,190,106,0,0,19,108,214,213,214,208,210,213,210,203,201,207,212,213,212,208,205,190,190,191,201,202,200,200,198,112,0,0,12,90,212,211,210,208,209,204,201,196,201,200,211,216,212,201,205,193,188,191,200,204,196,197,204,125,0,0,8,78,206,205,202,207,206,204,199,202,200,196,211,211,213,195,200,203,202,209,202,198,193,195,205,143,0,0,4,74,194,197,190,198,193,186,192,192,188,189,200,208,207,201,201,205,207,208,199,194,193,195,204,156,0
7,6,6,5,4,5,9,13,43,92,113,117,155,157,130,163,127,113,124,109,68,117,109,98,133,133,111,76,4,77,37,7,10,15,26,36,79,111,126,133,161,164,141,185,158,151,150,133,142,136,127,163,160,145,137,108,9,28,48,44,41,47,65,84,117,165,181,172,187,184,153,203,178,191,200,182,190,153,169,189,180,155,167,129,75,90,88,96,110,138,142,153,171,135,110,159,205,192,161,211,198,128,119,176,200,166,140,165,180,164,159,141,114,143,139,112,104,147,189,180,117,64,63,102,188,210,191,221,154,91,92,100,137,201,162,145,184,178,152,147,131,157,175,197,182,176,161,77,78,92,76,108,184,208,203,203,132,79,74,88,83,129,207,158,180,151,145,144,158,171,205,181,175,195,83,40,45,58,65,89,175,219,222,192,107,70,68,46,51,96,183,187,182,165,122,144,157,180,197,162,198,133,81,45,37,35,54,84,152,214,231,193,96,54,48,45,59,64,143,209,185,170,131,122,147,196,191,180,210,97,49,52,53,48,51,53,118,211,233,214,109,48,58,39,37,83,99,201,195,168,144,140,148,190,183,200,185,85,52,44,35,40,55,67,103,196,244,222,139,31,56,53,58,54,92,173,208,175,138,148,129,190,185,214,145,86,41,41,42,52,81,70,117,207,249,213,103,35,66,28,36,65,77,157,218,171,89,126,143,187,185,219,114,75,81,57,48,38,71,103,133,196,250,210,121,108,105,53,46,38,92,134,218,161,55,35,153,181,189,209,117,52,53,52,53,50,73,99,160,223,248,190,104,114,88,50,57,77,82,117,210,150,63,14,136,177,191,193,96,52,52,80,84,75,124,118,177,216,248,200,148,120,102,51,33,61,86,87,198,145,68,13,43,126,185,172,75,89,48,36,45,50,127,113,188,220,250,210,154,104,74,74,83,45,52,105,177,149,67,11,34,88,176,144,82,60,64,44,51,102,117,95,194,225,250,203,177,126,57,64,53,75,58,100,157,155,68,10,38,85,178,117,62,51,92,99,88,127,98,105,217,227,250,224,185,191,113,69,46,44,89,76,149,161,70,8,36,95,181,75,82,74,63,85,95,101,71,126,222,237,251,213,167,179,140,78,64,66,47,77,136,166,68,7,30,96,173,74,66,63,41,66,70,106,96,139,222,233,251,217,173,188,159,113,60,85,45,56,134,168,63,7,21,96,165,85,31,53,88,87,73,81,75,151,227,232,251,217,188,208,183,148,67,37,73,64,113,170,56,7,13,99,160,51,36,51,78,51,66,56,64,144,229,238,251,202,170,190,179,178,94,38,52,83,95,168,49,7,8,96,147,32,55,49,28,38,47,56,83,144,229,236,249,204,164,170,158,163,119,49,48,51,102,166,41,8,6,87,129,40,29,56,105,138,157,169,149,175,225,230,249,201,156,150,134,141,107,50,36,38,97,156,34,8,5,79,113,52,97,164,196,203,206,183,167,206,236,239,251,194,164,198,187,145,136,73,56,39,68,150,28,8,4,66,109,121,176,196,217,228,218,215,198,227,242,244,251,202,209,216,211,206,178,154,159,81,51,142,23,8,4,49,149,168,204,209,226,225,231,231,219,237,243,245,250,222,231,239,235,231,217,198,187,157,73,132,16,8,3,31,146,179,201,222,218,224,230,234,229,238,249,248,249,234,239,242,237,234,233,218,200,187,147,121,11,8,4,22,132,174,199,218,219,227,234,237,234,241,244,242,243,231,241,241,239,237,228,228,210,196,173,108,9,8,1
12,37,45,10,8,8,11,23,76,152,162,170,199,168,201,197,164,153,118,62,40,27,15,9,6,5,5,6,17,14,17,25,30,32,47,69,100,167,193,191,195,160,204,203,179,179,156,115,86,78,89,99,89,78,69,50,110,127,132,149,157,146,129,130,162,183,162,182,202,161,192,217,190,149,159,193,191,193,179,159,153,147,135,129,142,153,143,129,140,174,205,210,201,134,117,129,175,172,212,227,176,122,150,153,157,194,174,165,169,196,172,178,179,205,195,162,164,192,175,116,117,112,117,142,162,196,210,221,143,102,91,66,81,146,200,172,191,215,216,189,175,193,156,149,179,185,104,66,54,54,80,128,151,210,229,204,84,47,45,45,60,94,149,197,170,178,217,193,171,170,148,166,192,118,102,63,41,30,38,90,167,214,227,166,82,62,42,59,74,82,109,192,187,179,210,202,170,167,159,197,165,81,63,74,70,72,76,66,125,221,234,175,64,58,61,51,45,58,80,165,206,180,206,175,152,186,170,211,137,107,74,46,38,28,62,71,134,223,235,205,96,69,81,58,74,101,118,128,210,185,204,159,145,192,192,211,128,81,63,65,57,69,59,67,133,225,234,201,70,54,59,50,56,77,87,116,217,196,198,163,142,185,202,204,117,101,88,71,58,58,85,88,145,235,236,212,108,110,91,68,86,94,101,115,203,206,193,150,61,160,212,202,130,60,38,35,53,53,82,90,140,233,244,211,117,126,79,46,48,49,76,136,196,213,154,81,48,109,208,192,111,89,76,55,44,44,98,107,167,236,245,222,122,108,111,64,67,93,100,94,184,200,117,85,39,90,197,190,133,86,50,36,37,57,121,106,161,235,248,232,148,85,91,68,60,64,73,122,171,181,120,76,22,87,184,192,99,44,43,61,69,104,127,138,170,238,248,236,164,115,112,94,70,57,61,89,168,174,119,54,12,88,178,167,92,90,86,65,61,88,111,151,197,244,250,241,192,137,91,69,62,85,110,94,135,179,117,39,8,83,174,167,112,71,58,42,55,86,112,155,209,245,251,243,190,167,117,92,80,61,52,101,132,178,113,27,7,73,167,161,70,44,52,81,96,97,127,169,202,241,248,245,195,189,158,100,90,64,68,56,117,172,99,13,9,55,161,129,67,94,82,54,68,73,90,150,186,240,250,247,190,181,155,76,63,74,94,66,104,174,72,7,10,35,159,131,67,44,49,56,60,49,90,162,200,239,249,246,196,188,170,79,89,54,37,92,114,170,47,9,12,20,148,111,41,30,44,79,71,76,78,145,201,239,249,244,188,178,157,86,93,74,50,57,101,163,32,11,12,10,138,67,37,45,59,45,40,79,134,162,203,232,246,237,168,152,123,51,67,87,89,40,70,153,21,12,11,7,112,60,35,61,53,97,155,192,211,208,223,238,246,238,176,159,126,83,66,76,72,71,80,128,11,13,11,5,99,57,44,65,151,190,212,211,198,187,221,245,248,247,204,175,156,140,100,84,33,85,92,107,7,13,11,3,94,67,76,158,190,213,211,207,195,186,224,243,245,246,181,135,113,93,67,52,98,40,101,91,6,14,11,3,82,90,150,188,215,215,219,221,209,201,235,246,240,248,177,138,126,108,96,113,156,84,99,68,7,14,11,4,58,145,178,208,215,223,230,234,230,210,238,246,244,248,211,211,214,212,208,203,204,157,105,37,9,14,11,6,28,155,195,212,220,229,237,239,232,220,240,245,242,245,232,233,237,237,227,216,204,179,122,11,11,15,1
4,3,3,74,1,5,11,19,59,87,110,160,168,170,156,114,95,82,35,16,12,5,1,2,3,4,5,6,2,1,3,16,12,16,19,19,72,102,112,147,159,146,153,123,113,93,43,27,30,24,17,9,5,2,4,7,7,15,34,47,47,49,30,30,72,129,135,150,157,147,163,137,137,120,64,45,52,68,74,67,47,20,9,7,43,76,85,104,121,110,92,64,106,116,137,166,163,138,177,151,99,92,120,101,127,139,132,113,100,101,44,11,98,123,126,111,111,147,162,164,86,43,62,146,179,149,188,113,43,45,115,184,162,153,138,141,151,126,71,21,107,160,179,181,175,145,165,126,100,47,62,124,157,152,170,82,41,72,101,122,180,151,198,197,173,139,92,40,133,169,202,197,180,176,141,52,58,69,69,113,167,170,158,79,69,80,59,64,156,178,187,203,205,162,127,61,143,183,197,167,176,193,79,36,37,42,70,112,168,177,160,81,44,35,29,49,107,201,184,198,202,191,140,78,146,184,201,176,192,152,77,24,17,29,45,90,184,211,184,66,60,47,42,52,69,175,202,196,223,182,145,97,140,188,189,181,206,103,37,31,32,39,53,114,206,215,207,97,40,28,33,41,70,135,216,194,218,186,131,109,141,163,185,186,205,75,39,29,31,29,29,98,214,222,206,96,49,58,52,44,54,117,217,194,211,154,140,109,112,163,177,189,189,86,44,23,31,59,50,127,213,224,218,139,70,43,30,43,76,103,199,197,202,156,134,118,129,159,174,201,170,84,45,36,30,39,55,133,225,235,219,132,91,58,45,44,63,93,183,206,197,155,144,110,134,158,185,206,151,70,62,31,20,30,65,137,227,238,234,160,133,78,71,77,61,70,176,214,199,157,134,105,111,146,186,210,146,72,37,46,61,85,86,159,229,240,239,167,125,83,48,44,64,96,148,222,187,151,110,91,108,133,176,209,137,69,67,61,50,83,60,166,230,243,244,188,179,158,75,66,61,93,135,222,181,136,100,87,58,103,161,208,107,103,56,39,51,102,72,185,229,244,246,202,185,180,138,73,84,75,125,222,170,117,40,53,22,90,141,203,116,70,73,72,65,95,81,159,231,245,248,189,188,174,170,76,82,87,112,223,170,119,45,16,23,91,144,203,115,67,79,75,55,85,82,147,223,244,249,205,198,209,194,118,64,76,127,211,172,121,50,13,27,96,146,204,110,82,60,62,89,71,109,153,228,243,250,213,183,195,197,149,65,77,112,211,171,124,53,11,26,95,147,196,101,81,60,70,73,68,82,146,230,241,251,212,176,178,169,140,83,98,87,199,176,121,48,9,22,90,145,195,86,72,85,60,48,69,72,157,227,237,251,209,178,170,148,127,69,81,97,161,179,117,45,8,16,80,142,177,84,72,74,101,117,126,117,139,233,230,251,204,155,163,178,193,149,120,96,134,185,110,38,7,10,69,140,152,85,104,169,190,202,190,158,160,227,232,248,214,187,176,138,160,178,197,142,114,184,101,29,7,6,58,138,139,92,180,210,221,225,224,205,188,234,244,249,230,210,205,221,224,221,222,182,146,176,87,18,7,3,45,124,137,152,203,230,228,232,236,234,209,245,245,245,242,223,235,234,233,222,219,196,175,170,73,12,6,2,30,104,159,192,211,222,225,232,241,236,208,241,243,241,238,221,231,237,233,225,215,215,187,162,61,9,6,2,16,76,167,197,218,219,228,238,241,234,226,246,243,240,243,229,242,241,238,236,221,211,196,149,53,7,6,1
26,14,70,111,154,154,129,137,166,122,72,77,121,162,200,229,246,246,232,140,9,1,41,99,101,117,127,86,49,25,54,104,121,138,131,144,202,237,210,136,127,172,170,148,204,176,138,55,14,36,80,107,122,134,125,72,0,1,36,95,95,112,162,184,182,168,183,213,172,181,158,128,161,129,121,99,123,144,147,119,129,140,119,79,0,0,24,77,90,154,208,193,183,183,213,202,209,195,182,165,176,164,184,208,212,188,162,133,142,141,114,76,0,1,19,60,91,156,220,193,201,226,197,133,165,208,168,167,193,201,196,184,145,157,168,152,128,119,96,65,0,1,19,51,102,147,193,238,207,124,85,86,166,206,190,201,197,147,117,176,200,166,184,190,138,84,81,44,0,2,20,60,111,147,209,185,127,103,79,62,120,199,194,221,184,101,77,98,149,209,192,214,148,80,65,21,0,4,21,78,115,170,221,155,104,67,64,54,125,197,195,215,121,81,68,71,91,154,220,199,141,69,41,9,0,6,25,91,122,177,121,125,103,69,72,64,106,192,208,207,105,56,62,88,108,131,207,188,134,67,30,5,0,7,39,91,164,212,110,89,73,59,49,46,128,193,212,210,140,60,68,51,66,101,166,211,135,70,24,3,0,7,48,99,164,135,84,66,60,73,103,77,133,200,222,211,140,42,68,72,97,130,130,175,141,82,21,3,0,6,54,114,169,116,118,98,68,51,71,73,164,208,217,217,178,83,101,60,56,75,99,189,171,93,19,3,0,4,50,135,172,52,37,58,54,39,52,96,150,222,229,216,178,92,68,54,67,77,84,145,180,96,24,3,0,2,47,131,133,59,63,71,62,41,73,113,184,222,227,221,194,136,98,65,55,71,118,125,155,95,30,2,0,0,39,143,125,78,30,25,32,70,91,116,175,225,235,224,182,141,93,73,93,65,38,78,182,97,29,2,0,0,33,165,39,45,58,55,60,107,95,149,193,225,230,227,204,182,150,48,38,48,63,60,177,101,22,1,0,0,35,159,85,52,41,41,37,61,74,120,194,233,237,224,192,162,155,129,52,34,30,105,154,88,15,0,0,0,43,160,49,18,30,48,76,79,121,167,210,232,233,228,202,187,172,139,61,52,66,52,153,79,8,0,0,0,66,92,70,56,43,33,38,38,115,143,211,239,240,227,184,179,181,174,105,29,36,58,130,76,3,0,0,0,83,95,48,37,27,35,49,67,121,159,201,231,234,223,184,175,161,159,125,50,30,32,156,65,1,0,0,0,98,82,11,37,63,65,59,55,87,154,213,236,240,225,180,183,177,152,114,25,47,49,143,54,0,0,0,1,112,52,40,47,34,30,24,33,52,147,208,232,240,216,168,162,156,147,132,25,31,68,116,57,0,0,0,2,104,79,35,14,10,17,44,76,86,170,219,233,245,224,179,166,131,107,86,32,46,20,130,52,0,0,0,4,117,46,23,33,97,136,138,157,163,176,233,238,249,208,151,168,189,175,130,59,41,26,118,43,0,0,0,9,116,11,72,161,172,179,191,190,181,182,229,231,246,212,193,209,213,216,184,137,94,76,128,35,0,0,0,14,97,47,166,184,194,208,215,217,212,210,247,245,252,237,236,236,232,224,211,187,143,117,120,32,0,0,0,17,89,141,179,197,215,232,242,233,209,199,245,247,251,238,236,247,244,230,220,216,185,149,131,26,0,0,0,18,122,172,191,213,238,242,243,243,232,215,250,247,251,243,244,247,245,235,210,217,213,170,138,18,0,0,1
4,20,20,20,20,20,21,20,15,22,61,97,122,176,183,199,174,133,97,42,19,23,24,24,24,24,21,0,4,20,20,20,20,18,13,17,27,31,74,116,134,182,165,178,177,140,117,48,28,19,19,23,24,24,21,0,3,17,15,12,12,17,29,37,41,47,92,135,153,189,175,186,189,149,131,69,38,33,25,17,16,18,18,0,2,16,33,46,45,49,58,75,84,98,150,160,172,191,181,189,190,163,160,121,79,62,45,41,41,43,36,0,8,75,100,122,140,152,172,142,150,143,104,122,149,194,158,175,193,164,137,135,164,143,151,149,138,119,95,0,16,136,147,145,149,164,165,191,168,154,124,116,142,187,182,203,187,128,116,131,173,188,160,144,136,147,142,0,17,150,177,199,209,151,182,137,86,95,107,115,159,184,189,209,182,141,107,108,101,125,187,180,210,218,199,0,20,177,202,200,168,169,172,102,79,79,87,96,128,184,210,221,160,94,83,83,76,86,171,194,182,209,215,0,20,198,202,203,169,203,139,112,69,44,42,68,134,187,210,214,143,99,56,54,69,115,132,203,180,196,212,0,17,188,208,203,177,211,109,75,71,71,69,72,83,170,219,215,114,62,72,70,81,80,100,199,189,187,212,0,14,172,180,201,189,181,131,97,65,57,62,75,113,178,224,224,175,76,89,68,69,96,117,174,199,188,202,1,9,148,163,200,202,176,116,72,55,47,51,72,87,192,228,229,180,71,83,61,66,61,108,158,209,190,194,2,7,149,164,194,210,158,109,105,78,66,83,98,129,202,232,233,208,151,89,64,72,104,107,139,216,202,188,4,4,121,147,191,213,175,105,53,46,43,56,85,139,216,235,235,194,176,83,69,60,61,99,159,218,195,141,4,1,37,88,169,222,148,107,77,67,73,96,124,182,218,236,238,206,194,155,116,84,80,85,153,217,149,80,3,0,20,60,140,213,143,123,83,54,58,104,126,184,225,240,241,206,167,135,68,61,83,129,119,198,125,67,3,0,35,53,123,200,140,83,73,83,80,137,163,198,228,241,243,218,182,157,75,70,78,83,132,178,122,61,3,0,10,44,122,175,116,98,92,73,83,116,143,196,233,244,245,223,197,160,104,93,76,65,96,178,111,55,3,0,10,34,129,151,104,88,61,78,83,111,159,208,234,243,245,225,207,181,99,72,75,91,85,176,107,44,1,0,10,28,131,145,66,55,89,94,101,109,149,199,237,245,247,226,207,198,131,77,54,62,94,168,100,29,1,0,10,19,132,104,74,64,72,68,79,97,132,193,234,244,247,225,207,190,113,86,84,53,72,169,92,19,1,0,11,11,128,86,77,54,52,69,98,105,111,193,238,245,249,226,206,199,116,73,57,71,74,156,81,12,2,0,11,9,110,100,40,59,72,59,71,95,124,183,236,244,247,208,185,151,85,88,59,60,78,150,65,11,3,0,11,7,105,66,42,65,95,135,172,187,210,230,246,245,250,206,175,114,68,58,87,56,63,151,40,15,3,0,11,5,100,44,83,140,164,188,206,215,213,230,247,249,250,224,208,190,158,132,104,60,58,136,24,17,3,0,11,5,81,68,151,172,196,217,227,225,225,239,252,252,252,230,199,156,144,134,142,135,63,125,14,19,4,0,10,7,64,132,157,191,217,230,236,240,242,249,254,253,254,244,223,199,181,177,180,167,114,110,12,20,4,0,10,8,43,148,168,206,228,237,243,247,250,251,254,254,253,249,248,243,239,225,213,176,154,91,12,20,4,1
22,62,91,132,125,92,98,97,98,96,63,45,63,98,80,88,62,44,51,54,47,74,107,94,113,100,66,48,19,63,135,126,121,103,119,116,115,116,119,103,80,83,105,186,71,100,112,104,109,98,95,89,119,103,69,43,17,64,107,127,130,135,142,137,136,156,122,135,132,144,130,184,124,138,126,132,121,126,104,98,113,99,81,39,16,61,93,109,137,146,148,179,215,206,198,150,131,160,144,167,132,131,144,139,136,134,132,133,122,101,85,38,14,52,81,94,137,148,154,157,148,130,170,201,178,166,119,174,168,187,205,209,179,174,154,139,140,101,86,37,12,45,74,77,127,189,173,156,152,167,191,135,169,161,150,173,177,177,193,154,176,173,148,145,127,91,82,36,11,42,65,84,143,205,174,158,184,199,114,88,136,193,178,212,167,106,178,184,158,165,166,152,109,86,72,32,9,38,58,92,153,203,189,202,187,84,47,63,123,187,203,207,103,70,135,203,179,165,176,189,112,88,62,28,8,33,55,105,164,178,219,198,93,68,53,49,127,188,208,197,73,48,58,112,211,183,201,195,126,83,56,23,7,32,58,117,169,178,236,125,79,56,42,49,107,184,215,175,53,43,58,79,139,222,210,181,135,78,51,18,7,31,65,128,171,203,188,104,63,42,45,77,139,194,215,203,102,49,42,62,96,195,215,177,149,78,45,17,6,31,70,135,172,221,116,76,74,50,41,113,140,179,217,208,130,53,49,61,80,155,231,175,157,82,45,16,5,32,76,135,180,225,99,63,49,48,51,130,129,213,215,219,163,122,40,52,73,99,199,186,162,83,46,16,4,31,79,130,187,180,102,73,43,35,53,138,130,223,231,204,142,140,62,39,46,76,184,203,154,85,46,15,4,28,81,136,201,164,69,59,54,44,102,157,169,220,232,230,181,172,111,34,54,78,137,212,149,88,47,14,3,25,77,144,215,139,81,60,43,42,98,148,167,222,238,226,165,150,135,84,50,56,103,207,146,91,45,13,2,21,71,146,219,122,58,44,44,53,83,141,186,227,235,228,183,182,157,99,38,57,70,204,151,94,42,11,1,18,63,144,208,87,63,48,32,28,59,129,187,230,239,232,181,193,174,136,48,44,81,200,160,90,38,9,2,15,57,134,194,50,32,34,31,25,47,128,163,219,237,229,168,175,138,132,63,58,72,188,167,86,33,7,4,12,53,139,149,79,105,102,94,75,77,98,148,218,240,232,172,170,147,112,46,32,58,157,165,75,27,6,5,10,46,143,133,150,152,155,167,167,155,140,150,205,236,214,135,121,121,137,93,57,33,142,153,66,22,5,5,9,41,148,154,189,202,199,202,196,180,172,174,209,236,197,136,167,168,166,122,118,99,118,146,58,17,6,5,8,40,143,186,205,209,216,221,218,207,181,178,223,242,204,188,194,209,210,160,151,141,138,140,49,13,8,5,9,45,132,196,208,219,226,233,229,224,198,201,235,244,215,222,221,220,218,212,203,181,142,137,41,10,9,4,10,50,135,184,204,228,230,228,230,229,212,214,243,245,239,223,227,237,231,225,210,202,140,129,35,8,9,3,13,60,129,182,217,227,231,236,236,235,224,218,244,244,222,221,229,236,240,230,212,195,158,110,29,7,10,2,16,71,131,190,217,224,229,238,241,240,233,233,242,243,208,222,223,231,232,234,215,191,158,100,27,7,10,1,19,77,141,194,206,223,235,241,229,226,220,238,234,242,232,231,220,206,216,225,220,196,142,104,26,7,10,1
44,80,136,147,134,149,155,127,51,47,69,151,149,185,156,187,149,141,71,37,37,43,69,109,114,103,86,74,84,141,167,208,188,193,159,189,118,70,104,182,168,194,161,204,162,171,124,68,65,97,158,157,142,143,152,124,115,163,173,220,227,222,185,163,202,173,152,151,158,192,145,193,171,144,123,127,163,188,179,172,210,192,200,168,148,163,192,224,201,173,173,170,198,191,165,118,117,176,159,208,149,108,138,180,187,198,163,186,198,231,214,176,154,174,177,213,176,167,179,202,135,118,136,126,141,182,170,218,152,116,129,117,101,153,204,170,168,206,224,184,137,152,162,202,175,171,205,160,81,67,90,102,124,175,195,218,137,102,103,71,78,112,185,188,175,197,201,174,129,142,152,198,182,179,197,124,75,44,42,56,110,178,212,231,142,67,45,35,47,95,146,212,179,196,190,155,126,134,140,189,190,199,169,84,61,51,42,59,86,156,220,235,139,56,56,53,63,73,110,212,183,200,178,148,92,72,116,178,197,214,137,98,58,45,36,40,75,178,229,234,168,63,52,40,52,85,121,190,199,208,167,141,33,47,85,158,189,209,131,69,42,48,58,53,74,167,234,229,156,62,54,50,46,60,109,185,207,208,150,81,21,33,71,128,186,197,98,91,73,54,53,61,98,182,235,231,183,74,82,68,79,94,96,161,215,203,101,45,11,28,63,112,190,173,110,73,51,37,50,72,93,182,237,221,174,98,69,51,52,71,112,150,220,178,75,33,6,23,52,102,191,164,85,56,60,68,65,90,140,219,243,237,186,135,107,69,63,63,96,145,216,141,67,27,11,13,42,102,189,138,107,83,56,43,48,103,127,212,242,240,188,114,93,90,72,102,98,126,200,121,55,19,12,9,36,103,193,143,80,59,65,72,105,115,152,224,242,244,194,158,108,71,61,74,103,133,193,114,41,15,14,9,31,100,195,132,87,71,63,59,107,99,167,232,246,247,211,197,120,96,70,69,79,139,189,109,31,17,14,12,27,97,191,132,99,63,49,57,92,99,179,240,247,245,201,197,148,73,79,93,105,131,187,100,25,20,15,13,23,95,191,126,69,75,81,96,109,121,192,244,247,245,217,216,194,103,71,75,104,146,183,88,22,21,15,13,19,92,180,109,101,68,81,77,85,109,179,245,249,243,201,205,192,120,93,72,85,151,174,70,19,21,16,13,16,88,158,107,85,68,53,63,94,122,200,244,247,243,203,205,201,132,70,100,111,133,164,56,16,20,16,12,13,81,140,69,60,63,86,78,91,109,208,242,247,245,201,215,213,148,65,88,102,123,152,41,18,20,16,12,10,74,99,49,59,65,82,99,111,135,208,240,243,234,184,200,199,169,81,67,64,114,134,30,18,20,15,11,8,69,73,44,70,124,154,160,182,188,221,237,243,225,180,192,177,147,83,66,51,83,112,23,17,21,15,9,7,66,66,65,138,183,202,211,217,192,227,243,246,220,172,193,170,146,90,66,49,69,95,17,18,21,11,12,5,65,78,130,170,205,226,222,205,190,219,242,247,217,189,180,151,125,99,87,68,68,79,15,18,21,10,7,5,63,120,166,194,220,221,224,216,200,228,241,243,223,210,187,177,172,152,124,118,86,68,15,18,21,9,7,4,57,146,178,216,218,229,234,228,215,231,243,245,226,225,237,238,232,226,197,162,120,54,16,20,18,7,5,9,46,142,194,208,222,233,235,237,214,230,243,244,225,225,240,234,234,223,214,181,134,37,18,17,15,1
44,37,50,95,129,156,130,125,83,12,2,46,156,233,250,240,243,250,227,175,78,3,0,11,42,83,146,124,30,26,51,105,149,170,156,135,99,32,27,43,78,178,232,238,243,237,174,78,14,0,7,47,75,97,151,115,15,8,56,113,167,177,154,149,135,96,101,95,101,126,160,160,177,157,85,49,15,6,34,96,100,121,145,102,15,8,56,118,163,181,162,162,194,223,205,195,165,170,143,107,133,138,112,85,69,43,64,117,111,139,149,89,15,6,45,109,143,170,169,174,197,181,212,196,205,209,195,147,180,183,178,189,192,142,113,127,120,154,156,89,16,7,33,95,123,169,211,207,228,185,150,119,171,205,223,196,219,209,201,202,171,209,177,158,132,157,160,100,16,8,28,80,118,186,240,203,143,114,96,72,106,200,219,208,229,190,124,156,209,181,190,159,145,173,164,106,16,7,28,73,121,200,245,170,107,78,66,62,92,162,206,233,208,107,78,73,124,208,210,177,160,167,151,99,15,6,32,69,136,202,195,164,110,76,67,61,63,146,194,235,167,72,70,80,93,109,191,199,209,141,116,77,13,6,35,69,153,231,166,126,96,78,71,69,98,163,197,239,165,67,64,48,70,112,172,227,223,143,102,53,12,7,36,80,163,188,141,110,87,79,95,97,92,180,211,244,187,54,74,86,96,114,150,229,201,134,88,38,11,8,35,92,186,192,116,114,94,67,59,90,138,198,216,244,201,70,81,62,58,97,150,209,192,134,75,30,10,10,39,100,190,147,78,64,71,66,62,76,128,195,233,242,195,112,75,69,78,91,116,185,209,134,65,27,10,10,40,109,196,143,106,71,54,42,50,90,139,215,239,240,205,169,83,59,64,102,129,152,196,136,57,26,10,9,35,120,178,63,79,86,82,78,132,111,162,225,247,239,186,161,85,56,74,65,69,118,227,132,57,23,12,5,37,124,193,102,72,74,68,69,118,97,186,231,246,240,202,186,151,61,61,64,100,146,192,133,56,18,13,4,32,152,119,78,53,61,62,87,91,121,190,233,247,235,195,174,146,89,70,79,74,84,199,136,52,13,14,5,35,165,108,88,80,54,46,76,61,137,211,240,248,237,208,204,187,135,47,43,69,100,184,139,43,9,14,5,43,176,66,32,63,70,81,101,84,158,207,235,246,227,180,189,176,152,95,62,58,80,203,119,30,3,14,5,55,141,86,69,64,60,74,64,60,143,209,237,248,227,189,200,191,166,96,37,72,101,153,116,18,2,13,4,75,131,85,39,32,42,41,70,72,129,204,228,245,219,172,177,178,162,135,48,46,45,158,108,7,6,11,3,99,99,37,48,46,40,40,50,64,96,208,227,248,219,187,179,164,137,110,48,68,60,133,102,4,8,9,2,116,51,36,61,83,101,116,130,149,170,213,225,244,193,149,142,145,134,103,32,31,74,114,107,5,9,7,5,107,58,80,127,152,168,183,193,191,200,237,233,247,206,171,144,133,132,108,44,29,38,95,108,5,10,4,7,101,112,142,167,194,209,205,196,193,200,237,239,250,204,188,202,209,197,148,121,114,52,50,116,4,11,1,13,119,157,185,206,216,211,214,211,209,223,243,240,250,219,210,218,199,182,158,140,129,114,53,114,5,10,0,24,142,176,208,217,217,223,227,230,224,225,247,248,251,233,237,209,168,160,189,171,173,111,121,105,5,10,0,44,145,191,219,218,224,230,234,236,229,234,245,244,249,241,196,197,190,178,185,202,179,127,137,118,7,9,1
11,65,107,147,159,155,121,160,209,198,160,152,148,158,174,115,157,148,119,109,78,54,39,48,87,95,119,171,4,44,88,117,151,164,133,169,160,193,233,231,201,189,192,131,185,174,167,194,179,186,184,170,138,118,140,189,1,25,59,84,120,196,175,180,155,205,171,121,166,200,187,132,196,187,210,224,236,180,178,167,147,135,159,190,0,14,37,65,131,205,198,184,204,145,118,82,119,164,204,184,223,186,144,100,171,199,140,167,172,161,170,158,0,9,24,50,117,191,217,224,157,93,72,60,107,173,206,191,231,183,93,78,120,162,204,175,195,215,137,118,0,6,19,42,109,158,217,171,99,79,64,55,84,150,207,215,223,128,58,47,63,99,171,215,227,202,146,81,0,5,17,43,104,160,187,121,92,73,59,46,78,156,205,222,226,122,57,72,75,72,139,231,221,185,128,53,0,5,15,47,103,182,165,105,76,64,57,47,67,146,209,228,221,85,36,49,72,87,101,159,215,166,109,28,0,4,13,52,114,189,107,95,100,75,61,61,104,178,207,226,220,106,51,72,57,60,99,127,221,159,90,19,0,3,12,60,153,135,90,82,70,55,48,61,96,179,219,226,218,113,27,49,55,86,77,110,224,162,80,14,0,3,15,70,165,137,56,53,67,58,60,91,125,173,224,218,208,163,83,78,46,61,95,105,152,180,75,11,0,2,16,85,174,100,81,69,41,24,49,61,116,186,222,221,208,166,135,64,70,74,54,83,143,197,73,9,0,2,17,103,158,93,74,49,46,50,89,86,128,189,224,228,198,136,148,73,32,52,75,60,137,197,73,7,44,1,20,109,178,50,59,81,64,65,93,100,161,197,223,228,212,168,164,138,47,39,45,88,106,190,77,4,56,0,24,123,140,77,50,34,40,59,91,114,154,205,233,236,207,158,141,123,64,59,53,71,105,188,82,3,0,0,25,128,126,63,34,43,63,73,71,116,182,212,231,235,206,179,169,142,96,44,68,53,70,201,82,3,0,0,24,132,91,48,69,47,40,38,67,111,165,220,235,240,206,164,174,171,145,47,28,56,74,183,81,2,0,0,19,130,84,42,27,46,61,50,68,129,155,213,237,238,193,157,165,142,140,77,37,26,93,163,74,3,0,0,17,132,75,22,41,61,61,35,44,110,168,218,230,237,201,179,188,149,132,74,42,55,42,176,66,3,0,0,17,142,34,54,27,19,19,20,39,87,157,222,232,243,193,155,157,154,149,97,29,40,54,159,51,1,0,0,16,124,48,22,18,34,60,86,103,123,160,219,227,242,179,162,146,133,122,96,31,16,74,144,35,0,0,0,19,109,32,37,118,147,141,132,126,129,172,229,226,243,170,152,154,119,94,45,22,37,39,149,26,0,0,0,22,81,63,137,166,163,168,171,163,163,184,234,236,244,146,132,139,151,131,47,23,34,28,140,18,0,0,0,26,73,140,181,175,184,193,207,216,207,216,240,233,240,177,193,203,199,178,143,116,52,45,111,12,0,0,0,28,114,164,189,194,201,220,229,218,197,219,242,232,244,211,226,203,167,177,163,175,115,65,89,8,0,0,0,31,125,141,180,199,222,226,222,223,213,220,235,231,237,211,216,178,150,197,179,185,172,87,79,5,0,0,0,32,121,146,175,207,219,220,227,231,233,244,240,232,244,222,228,180,204,229,158,197,194,114,85,3,0,0,0,35,111,151,182,209,211,221,229,240,230,244,241,237,246,241,228,181,211,180,109,172,169,134,70,1,0,1
24,23,23,23,23,23,20,22,53,120,139,192,199,188,174,132,115,43,25,21,23,24,24,24,24,25,25,20,17,16,16,17,24,24,16,21,69,135,153,186,208,182,173,149,128,77,48,37,27,26,26,26,32,26,23,17,16,17,18,18,19,23,32,47,89,135,159,194,189,182,180,165,137,110,95,107,119,123,122,118,111,114,111,56,75,89,100,106,116,125,122,114,126,162,178,195,184,173,197,172,132,166,191,190,152,119,120,157,153,189,180,100,161,128,130,117,119,141,174,201,184,143,146,181,181,182,204,151,126,138,130,128,174,140,139,189,217,218,182,132,202,214,195,144,124,158,161,132,122,108,123,167,187,191,206,124,108,93,71,69,130,190,175,194,227,202,185,155,183,222,207,173,170,182,95,67,92,109,111,135,188,201,183,115,89,69,60,79,111,143,184,160,195,211,200,160,203,212,164,147,178,137,94,56,46,60,62,118,177,202,166,80,71,64,67,64,66,117,184,168,180,190,165,156,170,192,162,169,166,109,76,63,63,59,76,106,162,199,186,117,48,44,46,54,79,93,165,181,177,185,165,131,163,192,176,194,149,92,77,49,39,41,52,73,163,203,192,132,68,63,65,63,56,97,134,200,187,181,154,126,155,192,195,203,141,98,56,59,65,64,67,102,175,200,202,143,50,53,43,58,87,83,121,205,196,169,109,93,97,171,203,208,130,103,88,61,44,55,63,84,168,206,199,162,114,102,66,66,51,75,131,188,192,123,73,33,61,106,193,208,128,95,57,63,71,68,90,103,184,210,211,173,127,73,62,72,89,77,111,169,178,112,66,26,47,91,160,196,138,85,90,68,45,46,88,100,184,211,220,181,144,99,69,59,62,98,105,153,170,115,60,19,36,87,142,198,133,102,66,65,70,91,114,109,178,215,226,206,166,133,93,77,71,66,96,155,170,114,50,12,28,86,135,200,127,78,94,87,70,93,94,98,190,225,229,207,176,150,106,71,96,107,91,156,175,116,41,9,17,80,136,200,126,111,88,61,62,96,91,123,204,227,231,218,198,188,158,81,69,95,129,143,179,115,32,11,11,75,139,200,143,107,86,87,82,80,75,124,199,229,234,215,185,187,175,131,96,92,95,139,178,111,25,12,6,65,135,194,114,106,113,80,75,95,93,160,214,230,236,223,205,187,177,140,71,94,77,104,173,100,19,13,3,48,126,179,110,89,63,76,92,89,81,140,219,233,238,223,188,184,181,145,49,43,72,80,164,86,13,14,4,26,111,165,96,47,55,68,48,52,74,142,222,234,238,222,186,175,161,133,76,51,40,84,161,79,10,14,4,15,100,160,64,48,67,44,59,114,160,208,234,235,240,225,183,171,142,95,59,59,43,63,163,73,9,15,4,12,92,147,72,58,49,109,166,206,213,208,236,241,244,225,194,201,193,144,79,49,59,71,153,62,10,16,5,7,78,154,80,73,133,165,212,223,225,225,243,244,246,239,226,222,191,204,204,164,92,87,154,54,12,17,8,4,57,157,98,147,191,218,230,237,239,241,247,247,248,244,239,209,178,173,208,223,184,115,154,44,13,20,10,6,34,145,154,202,220,233,239,244,246,246,249,250,251,249,246,218,193,185,211,235,217,180,143,33,15,23,11,8,20,117,189,227,237,240,246,248,250,250,252,252,253,253,252,242,222,202,224,243,233,209,116,23,17,24,9,10,13,79,182,230,239,244,248,250,252,252,254,254,255,254,253,247,240,230,234,243,237,202,99,18,20,24,1
12,12,12,12,11,12,9,15,42,79,100,149,158,147,174,136,108,100,61,25,21,14,7,6,9,11,14,15,11,12,11,10,8,5,10,23,51,96,120,165,177,158,187,152,140,140,78,42,30,24,20,15,9,6,6,11,10,10,18,61,3,12,23,30,58,113,142,163,191,142,185,171,158,141,151,93,54,34,26,23,21,21,25,25,8,6,13,52,14,23,32,49,89,150,141,165,194,141,196,173,79,46,88,147,107,81,72,70,78,92,86,56,3,4,10,20,25,31,48,83,151,114,65,113,186,125,168,153,76,48,72,146,194,156,120,98,100,95,98,103,19,31,48,55,71,100,135,166,191,115,108,136,182,162,188,148,69,72,95,90,140,155,111,90,115,127,146,140,65,84,111,124,122,114,132,179,139,91,71,118,163,165,188,150,112,93,61,74,85,184,154,117,152,183,184,133,116,134,125,101,90,100,147,179,68,72,67,105,151,191,211,182,90,56,37,37,76,154,192,164,191,203,193,134,136,160,149,159,123,136,199,129,64,41,35,48,135,200,219,191,110,74,59,54,55,92,198,169,161,189,176,140,138,159,187,198,187,186,194,117,46,45,66,61,114,202,222,220,119,39,37,45,75,65,179,166,162,175,180,132,162,161,200,189,155,180,172,76,75,56,40,50,89,214,221,219,105,49,74,55,47,76,155,189,168,169,181,129,170,176,192,181,161,195,133,74,56,49,63,70,100,211,227,228,163,73,66,62,85,64,139,206,171,174,175,125,163,172,199,178,170,211,123,71,64,81,66,76,116,215,240,234,176,105,58,44,53,100,105,211,170,184,169,116,121,144,193,180,176,210,136,83,73,45,48,77,124,217,243,226,189,174,69,62,69,66,107,210,176,193,157,109,108,136,184,188,180,210,101,98,58,69,86,111,154,224,241,242,188,177,64,72,84,83,83,212,185,193,143,91,88,118,170,198,187,202,104,56,72,76,66,90,162,224,247,239,190,172,83,53,63,72,106,187,191,187,123,73,75,97,147,199,199,211,89,89,72,61,100,98,168,219,241,241,214,196,133,75,62,52,105,175,196,172,105,67,49,74,118,189,208,175,121,76,57,74,128,107,180,234,242,246,212,201,158,73,85,99,72,175,197,153,95,59,41,61,96,164,211,161,92,90,99,93,88,110,184,244,248,243,204,211,190,114,63,74,89,158,203,135,84,49,29,54,84,138,214,170,82,85,77,89,93,111,195,242,247,245,215,228,222,183,71,59,89,148,206,123,79,35,21,44,82,121,216,143,109,69,85,98,119,124,194,245,250,250,212,210,200,197,113,77,97,135,206,121,73,25,12,35,82,119,214,131,105,88,92,81,86,98,182,242,249,247,202,210,194,196,118,94,97,121,200,124,65,19,7,27,80,125,212,116,79,97,66,62,75,102,182,239,241,247,212,222,211,193,137,58,82,121,196,125,56,16,7,20,76,131,196,106,86,127,172,188,190,170,202,239,240,250,207,190,189,182,138,50,67,129,192,125,46,14,9,13,67,138,184,123,189,202,223,228,205,190,209,235,234,245,183,178,184,167,156,100,64,90,196,125,36,14,10,8,59,143,183,184,216,232,235,233,230,216,227,247,240,249,194,218,197,184,167,147,167,79,187,121,26,15,10,5,49,143,205,196,215,239,234,236,240,231,238,250,244,249,228,240,235,232,231,220,212,163,169,111,19,16,11,4,38,138,197,213,224,227,234,243,241,227,239,247,240,245,232,236,242,239,234,226,214,213,180,100,16,16,1
13,8,17,10,10,70,17,27,45,71,139,156,173,168,193,196,146,99,65,28,11,17,19,19,21,22,26,27,65,105,106,110,88,57,51,61,71,94,148,175,188,187,193,211,170,134,108,87,61,35,19,15,13,13,18,24,126,170,170,143,159,174,134,87,107,141,180,177,187,203,197,214,183,173,150,118,105,98,98,102,97,78,31,18,135,170,205,196,188,144,176,203,192,153,89,104,153,188,191,204,127,86,145,171,136,174,190,175,172,171,154,69,139,156,215,219,200,162,179,167,150,166,109,101,123,165,210,156,102,78,109,187,211,186,169,216,210,214,187,148,150,163,205,180,173,175,175,96,76,105,136,126,128,185,220,141,106,126,148,117,110,194,181,211,239,204,170,169,139,146,197,176,175,184,115,103,67,58,64,103,156,208,229,150,127,113,92,89,111,161,204,195,221,205,181,177,130,152,199,184,193,145,83,78,90,79,82,93,126,220,235,122,88,77,71,75,96,137,198,203,221,196,168,175,122,148,193,184,202,116,93,67,54,51,59,75,131,229,235,134,81,73,72,83,96,105,182,209,224,193,161,141,109,119,158,181,201,103,71,80,84,71,82,96,122,233,227,116,100,88,72,69,71,109,170,210,224,193,162,125,103,113,140,145,197,95,93,74,59,59,67,85,147,242,227,153,107,71,72,89,100,98,162,209,197,144,115,102,62,108,133,138,196,98,61,68,75,82,93,101,161,240,230,146,103,100,73,69,81,108,160,192,147,125,77,50,37,82,113,141,185,89,105,107,80,66,102,115,186,239,242,174,113,117,99,107,93,88,175,186,131,105,42,31,32,40,88,131,189,125,94,79,77,72,126,93,182,239,242,168,112,80,67,70,108,140,172,183,108,60,24,35,32,17,71,129,204,111,95,107,96,87,103,104,215,245,247,207,156,89,98,93,95,120,201,193,86,30,31,37,30,16,53,134,196,140,121,82,69,92,84,110,217,247,245,199,184,115,73,89,114,129,200,204,73,22,34,39,29,18,34,136,206,134,104,89,88,117,91,139,217,247,247,208,198,164,81,79,90,143,201,203,59,26,36,39,27,20,20,125,201,125,106,121,112,77,84,130,210,244,251,207,208,164,85,98,109,117,211,193,38,30,37,39,25,20,12,111,186,132,132,85,82,83,108,163,224,243,252,220,210,202,110,78,109,135,202,166,29,33,39,39,24,20,9,94,175,138,94,107,108,79,77,134,210,241,252,204,186,175,105,106,90,136,203,133,23,34,39,38,26,23,15,81,155,98,85,99,79,78,114,154,209,237,252,209,186,174,87,98,116,122,204,98,24,33,38,38,23,19,11,71,138,62,78,103,142,177,189,178,205,240,251,200,144,139,91,78,94,130,175,81,24,33,38,38,21,18,9,49,135,54,125,169,189,209,194,181,197,240,250,220,173,180,147,128,78,92,158,57,25,33,38,37,18,18,10,28,132,104,175,198,217,213,215,206,208,241,245,232,206,198,203,205,160,87,161,36,25,34,38,36,17,17,12,12,122,171,187,210,222,226,228,228,211,245,247,239,220,196,201,225,201,145,156,21,25,33,37,36,15,16,12,5,114,181,198,224,224,231,236,228,226,244,242,243,230,208,209,223,215,184,139,15,26,32,36,34,14,15,13,6,75,175,205,227,225,230,232,232,233,241,239,243,239,233,238,225,222,193,98,16,26,33,35,33,12,14,15,8,39,158,196,219,218,222,228,222,219,237,244,229,229,235,231,228,214,181,60,16,26,33,34,31,1
4,4,6,10,17,33,56,72,95,132,150,157,172,180,157,184,168,162,141,86,58,40,21,12,7,6,5,7,38,56,65,72,70,63,75,100,137,145,122,157,181,161,145,192,178,143,160,134,91,66,64,67,53,37,26,15,113,117,124,134,150,167,167,173,141,60,37,93,162,161,149,200,117,51,75,155,181,178,175,148,128,126,117,105,175,153,149,125,117,161,195,168,147,125,92,104,146,153,163,172,95,77,118,134,152,190,154,115,109,144,140,147,203,199,215,179,159,186,168,103,79,85,70,119,160,175,194,177,87,56,83,67,84,147,193,151,163,201,187,209,200,204,172,154,166,204,118,49,37,50,70,97,136,195,210,151,87,57,42,27,37,92,193,174,179,209,222,209,208,187,144,151,184,158,88,65,45,33,40,84,158,211,223,162,86,43,37,50,55,56,112,204,164,151,200,199,186,178,156,170,201,103,75,46,28,37,63,53,118,205,215,125,44,48,31,27,45,65,79,186,176,154,185,190,177,180,167,195,191,85,50,46,51,41,61,74,133,219,234,184,80,67,58,52,44,44,81,172,198,170,181,169,178,190,181,222,144,83,81,56,27,26,47,40,123,218,233,175,54,43,27,37,69,79,82,136,213,177,182,168,174,197,194,211,120,96,70,47,55,63,81,86,139,232,233,182,117,86,64,47,42,70,93,109,216,185,193,174,95,181,211,208,106,68,76,74,38,39,46,79,168,229,246,191,125,90,60,55,83,68,63,114,222,194,197,122,78,140,223,176,117,79,45,33,50,51,93,93,181,226,247,190,131,104,96,52,41,74,96,113,214,201,145,71,85,129,228,152,102,64,70,71,50,69,113,116,191,220,248,216,153,104,81,89,64,51,70,124,196,190,113,73,90,132,220,127,82,88,70,51,44,101,96,108,209,236,250,213,160,137,60,67,70,98,91,88,198,160,112,76,85,133,210,134,88,43,42,62,98,123,91,160,223,237,250,227,194,174,95,77,69,64,93,102,182,156,111,69,71,133,198,122,56,47,61,62,78,90,101,179,229,235,250,222,166,188,123,89,84,60,50,115,165,161,108,50,55,132,196,80,74,67,42,48,82,96,125,167,224,240,250,220,175,195,130,52,55,61,76,83,160,159,103,27,42,125,190,87,44,33,63,95,106,97,114,175,220,235,251,222,188,214,170,65,60,62,72,75,154,155,96,13,26,117,181,84,25,45,94,74,63,74,81,162,218,233,250,220,179,205,172,76,83,62,34,56,165,153,81,8,12,107,174,66,63,57,39,36,40,88,96,154,217,224,249,215,195,202,160,47,56,74,43,55,166,144,62,7,6,94,167,69,51,38,26,39,79,102,120,156,227,220,248,196,153,176,134,53,46,37,65,78,154,136,45,7,4,81,164,79,24,40,126,168,175,179,193,197,241,227,248,201,147,162,114,89,73,50,39,62,154,135,31,8,4,61,156,76,49,151,195,199,211,217,222,215,244,234,248,211,182,176,129,121,144,128,37,45,158,127,18,8,5,40,143,49,156,201,202,214,227,227,201,197,248,240,248,201,179,214,209,196,183,184,134,58,135,109,9,8,6,15,131,110,196,212,213,230,236,232,216,205,247,239,245,208,195,215,224,222,207,196,194,125,117,86,6,8,6,5,107,168,186,205,222,233,234,236,231,236,245,229,243,234,220,231,226,218,220,209,196,169,146,62,5,9,6,3,78,163,184,204,229,230,238,239,240,230,246,234,244,230,239,240,234,220,222,215,191,177,153,36,6,9,1
4,4,2,53,4,12,21,34,50,84,132,144,168,166,162,162,141,121,65,39,30,23,21,15,10,6,3,3,4,8,13,21,26,32,38,57,80,126,116,137,179,146,152,179,145,127,124,76,69,66,74,70,49,33,23,11,19,34,58,85,98,96,98,119,135,76,53,101,194,170,175,186,99,70,119,176,161,135,105,91,74,71,69,46,76,84,83,90,106,139,159,170,111,100,94,112,182,161,185,173,100,87,104,102,162,151,125,113,126,119,121,72,98,137,135,143,139,147,169,85,62,78,73,104,184,201,214,154,70,48,58,57,114,175,152,171,196,174,138,98,122,171,200,201,159,168,126,53,36,47,76,104,179,191,213,138,65,44,34,36,71,170,170,151,180,191,163,127,149,184,196,160,175,169,72,77,38,28,33,79,187,211,228,121,36,26,29,44,79,101,200,165,173,204,171,131,147,198,200,175,204,143,79,41,32,42,57,78,182,218,231,131,47,40,38,36,55,104,203,182,178,198,180,130,148,187,200,192,215,131,61,61,40,31,45,79,192,228,233,146,40,53,43,53,54,84,195,197,192,196,154,121,121,175,212,198,200,118,94,53,37,38,46,100,197,227,230,138,54,46,33,42,72,112,148,218,204,184,148,106,115,164,212,213,181,118,78,56,53,56,87,111,204,234,234,178,111,85,53,45,65,96,152,226,207,172,148,110,120,156,206,228,184,105,86,78,56,45,80,118,207,237,225,160,131,64,56,64,77,95,141,228,208,158,137,103,105,149,206,237,172,133,82,49,44,65,114,138,222,240,237,169,158,90,70,58,75,118,155,211,210,148,107,74,41,115,212,237,172,122,83,78,78,100,88,164,229,246,239,184,160,118,74,77,81,106,137,222,210,157,40,21,20,111,216,234,144,115,106,79,61,111,117,182,232,245,240,187,181,146,70,79,107,121,139,210,215,161,24,12,15,122,221,225,168,113,67,61,67,111,122,187,240,247,241,209,204,185,109,76,79,115,168,209,217,159,25,9,12,125,218,223,147,99,75,75,82,77,103,185,239,249,241,191,191,202,152,91,99,108,139,217,215,152,21,11,10,118,221,197,129,117,96,66,71,79,105,191,233,243,241,195,199,209,154,78,97,123,146,200,214,143,16,12,10,100,220,182,156,100,62,64,81,83,106,177,235,241,242,182,187,206,167,78,78,90,128,208,215,123,13,12,10,74,212,170,126,91,77,91,68,76,92,161,231,236,242,170,158,164,134,79,96,93,117,171,210,84,13,12,9,47,191,136,102,110,93,68,89,132,172,199,242,237,247,173,157,145,89,60,66,109,118,138,188,41,11,11,8,44,134,116,105,93,104,152,178,205,191,203,242,240,252,201,156,147,128,119,95,73,82,120,133,34,12,10,7,37,99,63,71,112,167,198,208,203,192,201,237,240,251,165,103,85,60,70,74,80,76,56,116,32,13,10,6,31,98,37,96,156,195,202,207,208,198,203,240,244,250,156,96,68,51,39,53,56,91,64,100,26,12,10,4,22,91,66,144,194,202,211,217,220,216,208,242,247,243,159,90,82,50,36,33,42,95,119,92,21,11,10,3,14,77,123,174,189,204,216,230,229,215,205,238,248,228,165,100,95,91,66,47,70,150,150,99,19,11,11,4,10,82,139,181,194,212,229,230,228,224,218,245,245,242,237,221,221,219,200,169,178,191,157,97,17,12,11,3,7,61,151,172,200,223,228,231,234,232,234,243,242,245,242,236,237,231,227,228,217,196,152,83,16,12,10,1
0,45,5,18,31,45,41,42,81,126,124,135,135,88,140,124,115,124,100,40,20,13,20,46,56,56,44,13,2,9,26,42,51,67,64,90,127,75,60,117,146,93,156,124,41,32,100,116,103,104,133,120,118,107,89,87,19,36,56,69,116,90,119,135,91,34,41,83,123,95,155,106,52,49,96,137,171,157,126,126,112,114,133,142,126,140,150,182,176,187,186,135,100,47,49,102,135,116,172,117,40,47,75,61,68,161,135,126,187,207,180,175,122,125,143,114,141,184,97,85,99,74,69,85,142,150,181,76,51,43,46,46,58,109,185,150,141,173,225,184,183,215,167,137,200,148,79,44,37,22,25,84,155,159,196,85,21,11,11,16,46,80,172,189,163,163,225,203,208,201,168,177,228,99,63,48,33,36,46,45,127,178,191,84,32,43,35,45,50,63,119,222,180,182,225,212,230,197,180,218,194,113,80,47,22,12,31,58,148,192,217,149,32,20,23,34,43,81,126,203,199,200,220,179,237,226,200,243,175,110,61,46,35,33,51,56,158,201,221,125,31,65,39,32,46,63,93,191,215,211,218,176,194,237,225,242,139,103,98,66,50,46,65,116,180,205,222,176,83,82,67,59,73,90,89,149,238,216,212,186,190,219,241,229,162,108,68,44,34,43,41,89,182,224,223,171,83,84,46,30,33,49,87,147,230,226,194,183,201,206,240,229,137,88,64,49,38,55,78,104,192,218,236,182,112,94,104,65,52,61,74,106,222,228,181,163,188,205,241,202,133,116,88,51,32,79,85,131,197,220,243,209,122,75,46,40,40,62,86,110,193,223,172,152,173,204,246,192,149,95,53,36,49,111,67,132,190,223,245,196,131,124,81,38,31,23,49,111,186,219,163,135,159,188,243,166,109,77,59,50,60,112,101,151,211,226,244,221,168,148,145,60,48,49,56,78,151,220,149,119,122,170,234,127,105,103,68,35,61,55,89,143,221,233,245,212,159,159,153,107,24,56,85,95,117,220,143,111,100,160,207,132,103,66,40,45,62,69,133,156,221,233,244,210,165,199,186,155,56,34,44,81,119,204,144,104,97,155,196,113,66,53,69,75,95,63,105,138,207,230,246,211,157,177,178,157,98,41,34,43,96,188,143,96,90,141,188,63,54,69,67,44,42,50,68,124,211,223,243,202,148,171,157,158,99,43,65,52,53,171,135,89,83,142,150,57,52,53,38,30,49,81,76,148,215,218,242,210,164,181,170,161,106,26,32,47,56,145,134,79,64,132,143,62,18,19,20,49,56,50,45,131,227,216,239,204,133,141,137,135,122,27,23,19,50,145,124,53,44,117,130,32,17,21,33,54,77,108,132,167,231,212,234,196,134,126,126,124,113,58,25,22,32,134,114,30,27,110,99,22,25,69,126,161,173,197,201,201,232,213,234,209,162,188,195,131,96,90,112,64,32,107,102,13,11,103,84,30,67,140,177,198,214,196,169,172,238,226,239,210,154,185,200,213,208,197,178,133,71,108,84,2,3,89,82,55,127,164,190,207,200,184,174,176,229,232,238,212,172,211,224,220,222,224,209,171,145,112,66,1,1,68,93,94,150,180,200,197,203,196,186,200,246,222,223,222,206,226,232,235,226,220,221,195,163,142,43,0,1,43,117,115,159,191,192,210,215,223,219,203,246,240,230,222,195,228,240,237,233,222,218,202,161,134,27,0,0,25,122,136,174,182,199,214,231,234,215,205,237,236,225,221,214,225,236,243,236,225,211,199,154,117,15,0,1
36,48,75,105,139,153,129,133,101,86,82,125,171,150,167,156,114,68,50,65,97,110,111,138,104,92,63,5,35,44,74,108,144,154,141,152,133,116,120,139,174,154,171,154,124,100,89,93,119,118,133,139,97,88,57,4,36,38,68,108,132,153,141,165,199,205,189,169,179,165,185,167,153,139,132,131,129,123,150,146,102,81,52,4,39,32,61,106,119,163,171,178,164,165,184,199,209,192,211,196,203,200,216,201,172,143,156,144,107,74,47,4,46,35,57,98,127,189,186,181,189,206,160,179,215,200,221,209,182,202,176,178,173,145,157,133,105,67,39,2,43,29,54,93,134,187,202,205,183,127,109,136,193,218,224,171,116,130,177,185,187,176,157,120,98,57,29,2,40,25,55,88,146,174,209,188,122,95,86,87,170,214,223,127,92,119,158,220,193,210,161,120,81,50,24,4,40,24,56,91,157,176,227,162,128,102,95,103,179,212,220,142,94,100,113,143,202,209,156,116,69,42,23,4,40,25,57,104,151,187,162,134,117,89,98,88,180,223,221,154,83,93,125,166,230,186,164,109,62,34,28,4,40,26,60,114,151,219,153,118,95,85,88,100,196,219,231,181,95,100,116,130,164,185,166,103,58,29,31,5,41,24,61,117,155,159,131,121,106,104,113,116,188,230,230,192,129,89,84,117,172,207,160,101,54,25,32,5,42,20,55,107,175,168,96,82,73,68,86,106,205,239,228,183,154,87,109,131,131,180,152,101,50,23,32,5,42,16,48,101,148,138,107,96,89,88,128,165,211,235,234,180,172,97,94,90,126,196,145,103,46,21,32,5,43,16,40,93,177,102,83,71,75,97,123,164,214,239,226,172,169,98,87,103,102,180,146,93,41,20,31,5,41,20,32,87,161,96,96,91,87,111,119,173,223,241,233,201,183,143,80,81,115,155,132,77,31,24,31,5,42,21,29,89,158,83,61,69,77,93,135,160,221,243,221,190,172,145,91,94,87,141,136,66,21,27,30,5,42,22,27,110,102,105,97,88,80,86,118,155,227,246,222,191,193,170,111,64,77,158,123,56,17,30,30,5,42,22,28,118,110,62,62,67,75,88,100,157,221,241,208,178,174,153,108,91,103,107,133,50,16,30,30,5,43,22,29,127,76,68,69,71,79,81,97,174,234,243,197,171,175,159,103,62,67,103,136,45,16,30,30,5,41,21,33,117,90,76,120,152,176,186,197,208,234,239,177,139,123,112,81,75,63,86,131,39,19,29,30,5,42,19,37,127,66,139,172,204,211,199,195,212,243,248,206,170,156,107,54,54,75,85,123,34,21,29,30,6,42,18,44,117,122,185,204,207,209,208,206,218,242,248,203,185,185,187,159,93,55,80,114,29,23,30,30,6,42,16,50,132,182,197,206,216,223,227,225,236,249,251,224,211,201,195,187,169,104,56,118,25,23,30,30,6,43,13,56,153,184,202,217,230,232,233,229,235,248,250,219,215,219,209,195,182,154,77,107,23,23,28,29,6,43,13,61,155,184,208,228,230,236,239,242,246,250,252,233,229,224,213,200,190,172,126,95,20,20,26,27,7,45,12,64,146,184,218,224,234,240,242,238,244,250,250,233,237,227,212,211,201,177,145,90,19,18,24,27,7,44,12,67,136,189,208,225,236,242,237,242,250,249,251,238,233,230,218,210,210,181,152,78,16,20,24,27,7,46,12,63,128,182,204,224,237,233,234,242,249,251,252,242,234,232,230,218,194,182,143,69,14,20,22,24,7,1
21,21,21,20,45,39,19,35,56,105,173,188,211,199,219,183,168,134,91,54,40,31,21,10,8,6,4,5,16,16,19,18,24,32,37,60,101,139,154,199,209,181,205,191,164,94,95,108,81,51,42,39,33,28,25,19,17,20,22,27,35,44,62,106,109,72,73,129,201,196,217,183,88,54,61,81,139,149,132,107,69,45,36,32,34,45,59,79,111,134,171,155,124,82,68,116,166,183,199,178,103,66,100,122,127,180,131,89,82,70,69,58,53,54,65,96,114,152,175,106,103,97,73,87,143,192,208,179,75,64,66,48,54,129,165,141,148,152,111,80,103,110,134,122,141,179,109,62,56,64,66,102,149,193,209,164,78,74,53,44,52,75,148,137,157,168,127,114,130,151,173,154,155,140,98,61,34,34,38,63,154,208,224,195,85,38,35,38,55,79,116,167,138,166,162,126,149,156,165,136,173,117,67,53,47,40,47,66,155,209,230,200,108,46,50,42,40,62,122,185,151,169,174,137,149,160,161,145,191,93,69,60,51,42,40,56,177,222,232,224,117,43,49,41,56,68,105,199,162,168,142,128,114,144,164,160,186,102,86,53,41,39,49,58,159,225,227,215,131,53,52,45,52,85,119,184,183,165,119,98,101,123,168,185,178,124,76,64,54,58,78,85,170,237,231,227,187,120,78,64,66,83,109,185,198,151,105,90,87,113,158,198,182,114,108,78,51,43,56,82,173,244,244,221,177,142,72,70,89,103,100,183,198,141,94,72,70,106,144,203,175,125,112,76,52,46,77,105,188,244,243,233,179,153,102,68,60,88,131,165,199,135,70,50,54,90,143,199,183,131,102,94,95,100,128,126,199,245,245,239,198,167,121,105,85,81,122,164,195,123,42,34,34,60,131,193,180,138,126,119,97,101,118,115,193,247,246,236,194,173,142,80,98,117,113,141,190,110,38,22,26,49,115,190,171,151,156,124,94,102,112,152,217,247,243,242,218,199,187,111,96,98,118,132,188,99,37,7,18,42,104,182,192,138,133,130,120,136,117,166,229,247,247,241,213,209,229,186,103,91,94,154,183,91,32,4,6,30,95,179,196,143,138,156,144,140,126,170,232,246,245,240,205,198,219,211,153,110,114,131,180,82,23,9,11,19,85,175,189,158,173,155,120,123,124,172,231,246,247,241,215,214,221,217,191,113,121,128,172,72,18,10,15,17,72,165,200,144,141,144,130,136,119,154,225,247,249,238,199,203,225,226,207,102,96,144,158,61,16,12,16,17,58,148,186,129,110,117,133,100,108,152,226,245,246,237,202,198,202,201,196,109,84,111,145,48,11,10,16,19,42,134,158,112,124,109,97,121,168,188,234,244,246,242,193,194,179,166,153,95,94,89,132,38,8,10,16,19,35,118,144,101,97,127,169,191,185,186,232,248,246,234,175,175,177,173,123,71,72,100,118,29,7,10,17,19,29,99,140,91,126,185,210,203,197,203,232,246,243,232,187,197,191,195,189,117,75,92,108,22,6,11,18,19,24,84,132,119,189,207,203,211,221,217,242,244,244,236,210,231,219,203,202,186,149,81,94,18,6,11,18,19,19,74,130,167,207,209,210,224,216,217,241,246,246,228,217,233,237,215,198,207,167,104,80,14,6,11,19,20,16,62,149,190,198,213,227,226,225,224,240,244,244,229,218,237,237,234,210,200,180,132,62,11,7,12,20,20,15,51,154,193,203,219,227,230,233,236,245,239,239,242,228,235,239,236,217,196,184,134,46,9,9,12,1
4,4,2,53,4,12,21,34,50,84,132,144,168,166,162,162,141,121,65,39,30,23,21,15,10,6,3,3,4,8,13,21,26,32,38,57,80,126,116,137,179,146,152,179,145,127,124,76,69,66,74,70,49,33,23,11,19,34,58,85,98,96,98,119,135,76,53,101,194,170,175,186,99,70,119,176,161,135,105,91,74,71,69,46,76,84,83,90,106,139,159,170,111,100,94,112,182,161,185,173,100,87,104,102,162,151,125,113,126,119,121,72,98,137,135,143,139,147,169,85,62,78,73,104,184,201,214,154,70,48,58,57,114,175,152,171,196,174,138,98,122,171,200,201,159,168,126,53,36,47,76,104,179,191,213,138,65,44,34,36,71,170,170,151,180,191,163,127,149,184,196,160,175,169,72,77,38,28,33,79,187,211,228,121,36,26,29,44,79,101,200,165,173,204,171,131,147,198,200,175,204,143,79,41,32,42,57,78,182,218,231,131,47,40,38,36,55,104,203,182,178,198,180,130,148,187,200,192,215,131,61,61,40,31,45,79,192,228,233,146,40,53,43,53,54,84,195,197,192,196,154,121,121,175,212,198,200,118,94,53,37,38,46,100,197,227,230,138,54,46,33,42,72,112,148,218,204,184,148,106,115,164,212,213,181,118,78,56,53,56,87,111,204,234,234,178,111,85,53,45,65,96,152,226,207,172,148,110,120,156,206,228,184,105,86,78,56,45,80,118,207,237,225,160,131,64,56,64,77,95,141,228,208,158,137,103,105,149,206,237,172,133,82,49,44,65,114,138,222,240,237,169,158,90,70,58,75,118,155,211,210,148,107,74,41,115,212,237,172,122,83,78,78,100,88,164,229,246,239,184,160,118,74,77,81,106,137,222,210,157,40,21,20,111,216,234,144,115,106,79,61,111,117,182,232,245,240,187,181,146,70,79,107,121,139,210,215,161,24,12,15,122,221,225,168,113,67,61,67,111,122,187,240,247,241,209,204,185,109,76,79,115,168,209,217,159,25,9,12,125,218,223,147,99,75,75,82,77,103,185,239,249,241,191,191,202,152,91,99,108,139,217,215,152,21,11,10,118,221,197,129,117,96,66,71,79,105,191,233,243,241,195,199,209,154,78,97,123,146,200,214,143,16,12,10,100,220,182,156,100,62,64,81,83,106,177,235,241,242,182,187,206,167,78,78,90,128,208,215,123,13,12,10,74,212,170,126,91,77,91,68,76,92,161,231,236,242,170,158,164,134,79,96,93,117,171,210,84,13,12,9,47,191,136,102,110,93,68,89,132,172,199,242,237,247,173,157,145,89,60,66,109,118,138,188,41,11,11,8,44,134,116,105,93,104,152,178,205,191,203,242,240,252,201,156,147,128,119,95,73,82,120,133,34,12,10,7,37,99,63,71,112,167,198,208,203,192,201,237,240,251,165,103,85,60,70,74,80,76,56,116,32,13,10,6,31,98,37,96,156,195,202,207,208,198,203,240,244,250,156,96,68,51,39,53,56,91,64,100,26,12,10,4,22,91,66,144,194,202,211,217,220,216,208,242,247,243,159,90,82,50,36,33,42,95,119,92,21,11,10,3,14,77,123,174,189,204,216,230,229,215,205,238,248,228,165,100,95,91,66,47,70,150,150,99,19,11,11,4,10,82,139,181,194,212,229,230,228,224,218,245,245,242,237,221,221,219,200,169,178,191,157,97,17,12,11,3,7,61,151,172,200,223,228,231,234,232,234,243,242,245,242,236,237,231,227,228,217,196,152,83,16,12,10,1
47,49,49,46,39,31,30,30,30,26,82,153,203,228,223,223,197,128,67,24,29,29,29,29,29,31,36,46,46,49,48,39,30,29,29,29,28,18,60,102,157,198,201,195,160,105,64,20,29,29,29,29,29,29,30,38,46,49,48,35,28,22,17,14,18,33,66,99,137,186,189,187,152,108,71,16,22,29,29,29,29,29,29,32,45,43,27,14,20,32,43,52,56,59,79,114,139,178,169,181,153,122,88,53,27,13,20,27,29,29,29,31,18,23,36,54,70,77,76,68,70,71,93,130,151,179,166,181,162,138,109,70,60,52,33,19,14,22,29,32,46,59,69,98,124,119,120,137,122,119,118,161,167,181,177,182,173,158,141,100,78,71,64,58,51,31,14,23,60,81,96,120,143,149,145,152,172,175,180,150,156,191,174,183,180,144,146,159,140,135,127,117,103,92,60,27,78,110,139,150,162,189,189,148,165,170,149,123,132,187,192,198,164,106,122,156,185,178,150,131,142,146,114,66,111,140,143,167,183,190,169,162,180,112,101,105,130,169,185,200,161,112,99,91,130,184,172,198,183,162,130,90,117,144,155,171,192,194,180,178,163,85,69,73,91,161,200,210,159,86,78,76,96,161,185,197,211,178,153,121,106,121,129,152,171,194,182,195,114,97,78,73,93,136,201,211,188,87,72,78,100,129,204,195,214,197,164,145,83,102,111,142,161,193,184,196,116,76,79,80,85,110,207,213,170,81,90,81,86,112,205,200,215,199,176,150,68,79,85,118,156,186,185,186,117,92,77,78,103,145,213,217,192,93,88,76,94,130,186,207,214,188,165,155,49,62,70,101,145,177,193,164,127,91,84,81,98,129,214,221,198,123,111,86,97,123,177,213,209,183,157,130,43,55,60,78,131,162,201,152,102,99,88,89,113,157,220,227,211,121,128,96,111,123,164,216,200,170,136,119,17,18,42,61,109,148,200,147,117,86,80,89,131,156,221,228,214,138,129,102,90,115,178,213,190,166,121,93,33,37,17,48,83,141,193,155,99,95,99,125,121,186,224,231,222,177,117,123,112,131,153,215,177,155,94,67,34,41,29,23,71,138,196,130,134,107,96,120,109,201,229,234,225,191,132,113,106,132,158,210,170,131,69,52,33,42,33,17,68,140,199,146,107,104,102,127,157,213,232,237,230,210,184,116,108,108,162,207,162,99,45,14,33,47,45,21,61,141,199,136,108,110,110,113,140,208,235,240,230,208,195,113,113,138,147,208,157,79,20,39,33,49,46,26,54,141,193,143,129,97,99,103,150,220,237,241,234,220,208,144,107,121,151,204,149,64,18,46,32,49,48,32,48,141,192,124,101,106,121,136,165,222,240,243,234,214,202,145,117,110,134,202,137,47,28,47,32,49,49,36,43,138,171,121,139,188,195,204,220,234,242,245,237,222,211,180,148,130,125,190,121,35,36,47,30,49,49,40,38,135,162,160,212,217,226,230,230,240,248,250,241,231,218,200,180,181,134,185,110,27,39,46,30,49,49,43,33,130,183,203,223,234,238,237,239,245,251,251,244,241,238,236,231,212,183,181,99,22,48,49,29,49,49,46,29,121,197,218,233,239,243,247,247,251,253,253,250,248,245,240,234,225,203,185,88,21,49,49,28,49,49,48,27,112,203,228,237,243,249,250,250,252,253,253,251,248,249,246,238,231,214,186,76,22,49,49,28,49,49,49,26,106,203,227,239,248,250,252,252,253,253,254,252,250,248,248,242,231,217,178,62,28,49,49,1
11,12,11,42,39,19,37,59,100,118,122,149,170,142,182,148,134,132,96,89,79,44,22,8,10,12,16,19,7,5,5,26,52,78,94,104,136,153,157,175,190,152,202,177,173,172,130,133,112,79,60,46,29,17,9,13,8,39,80,92,93,101,133,143,179,204,190,200,213,168,218,201,165,165,185,173,158,116,104,121,130,128,81,30,62,128,148,153,166,182,181,181,179,124,105,164,221,171,224,185,112,92,118,175,188,188,188,157,160,132,120,82,73,111,140,153,163,153,215,196,155,90,85,110,196,176,221,156,84,88,135,153,209,185,163,186,170,137,142,117,119,152,165,203,212,175,187,119,148,129,102,113,185,199,228,164,94,114,131,107,132,202,177,214,186,174,165,153,150,173,195,209,196,208,135,79,86,119,117,133,185,197,232,180,102,116,96,88,102,164,205,209,210,189,178,161,150,169,204,226,201,195,113,87,69,70,77,121,190,229,245,199,74,69,58,70,113,123,215,220,188,166,163,151,136,168,184,214,222,159,97,77,74,77,89,109,210,231,245,192,79,87,81,98,91,115,197,209,180,161,143,152,140,158,187,195,227,137,74,80,75,60,75,99,186,246,240,163,72,88,61,54,82,119,185,214,182,166,141,124,115,158,184,192,222,130,81,55,68,77,72,126,173,242,237,160,135,128,76,65,76,110,154,219,187,171,135,119,99,116,161,198,206,117,66,70,63,53,81,135,188,245,248,168,120,95,81,55,84,117,130,215,193,148,76,78,37,31,89,195,198,95,102,59,50,66,122,137,199,243,249,198,162,130,105,58,66,87,126,212,172,56,28,26,16,17,50,161,175,101,61,94,87,106,121,139,201,244,250,202,159,104,88,88,80,72,126,191,129,34,30,27,21,13,54,160,148,93,76,66,58,112,80,119,194,244,251,208,172,127,94,61,67,91,113,173,130,30,28,29,20,10,48,165,117,108,87,61,74,108,113,147,211,242,251,213,186,175,103,71,67,84,108,158,131,27,27,28,20,12,42,169,115,61,77,92,89,86,103,119,205,241,252,206,178,180,126,79,103,77,73,156,137,23,25,28,19,13,34,163,101,64,74,82,88,56,93,141,185,239,251,223,205,198,154,80,86,76,86,135,135,24,28,30,18,13,29,159,86,93,49,76,71,90,82,126,193,236,249,225,191,202,187,100,65,62,104,121,129,21,30,32,17,12,25,152,101,56,71,74,65,65,70,115,192,230,245,217,180,188,164,75,81,79,59,130,128,19,27,30,16,12,26,154,79,47,70,69,50,51,72,122,201,228,240,214,174,185,146,72,71,79,65,110,127,19,26,30,17,12,21,144,57,66,48,47,82,114,145,136,207,227,242,215,154,155,138,60,54,51,84,86,124,19,26,29,17,11,18,125,63,51,84,150,181,186,161,149,209,234,244,220,180,196,165,92,97,65,56,81,119,17,27,30,16,12,15,115,66,91,180,206,210,201,188,187,232,238,242,230,206,197,145,97,155,155,76,78,111,16,28,30,18,12,12,109,94,166,203,224,220,225,222,218,239,247,246,229,214,206,162,130,179,184,154,82,103,15,27,30,18,14,9,106,145,198,218,222,227,231,235,209,231,239,238,228,215,234,221,198,202,198,189,119,92,16,26,31,17,13,9,102,168,208,218,220,231,240,232,218,241,233,234,236,226,232,237,223,218,205,205,162,77,17,28,30,18,12,7,75,156,203,214,229,240,239,236,225,233,240,242,228,225,234,237,233,217,203,193,152,56,20,28,29,1
20,85,136,177,170,152,169,172,147,177,170,163,164,173,156,177,151,163,170,167,160,176,163,150,160,164,128,85,16,74,136,168,158,152,185,213,214,194,218,201,198,202,167,214,200,209,210,198,212,210,170,159,164,172,133,77,14,55,128,152,155,166,199,190,196,226,159,142,171,193,178,215,167,133,171,215,187,186,185,161,157,153,127,64,18,30,114,137,171,193,202,218,207,150,125,106,147,208,206,215,126,97,138,175,217,199,187,192,157,134,113,43,21,18,85,133,159,226,215,216,138,98,97,114,153,209,217,213,104,95,93,104,163,234,199,213,148,128,80,29,55,13,64,122,154,223,234,156,110,83,74,75,113,210,227,195,97,93,87,105,125,176,227,209,139,111,55,22,87,12,54,109,158,215,220,131,99,80,71,73,84,189,233,191,85,75,69,71,96,141,231,189,133,88,46,18,24,12,51,102,164,217,176,129,115,97,85,93,92,189,239,203,96,77,78,94,112,147,210,194,132,77,38,20,25,12,48,100,168,225,158,121,96,84,71,85,95,199,240,221,90,78,81,84,103,128,172,203,133,74,33,21,25,13,45,99,174,209,129,114,110,99,111,108,151,212,239,239,122,82,111,94,96,104,130,217,138,68,28,21,26,14,44,98,183,178,144,138,107,79,87,83,130,208,247,234,174,86,72,78,93,115,162,201,143,62,25,22,27,14,42,101,199,166,111,105,88,76,76,105,163,223,245,235,197,126,98,96,94,106,121,201,146,57,22,23,28,16,40,113,197,147,121,120,92,74,69,98,168,217,246,236,162,123,89,86,90,113,115,183,149,57,20,23,29,19,36,126,194,153,113,82,68,72,119,128,187,219,245,244,187,158,97,74,65,82,131,185,152,60,17,23,29,21,34,135,195,97,92,100,95,90,123,150,172,214,248,242,179,156,82,72,78,74,92,171,156,62,15,23,30,24,35,139,194,123,81,68,63,71,85,140,177,223,248,247,195,184,110,57,54,88,99,138,162,63,11,23,30,27,33,134,182,92,61,67,82,82,90,151,208,224,247,246,204,198,166,71,67,50,72,159,153,60,10,24,30,27,27,129,153,90,92,76,69,78,76,145,183,224,248,247,192,192,183,85,69,62,56,129,154,48,13,24,30,26,27,121,163,65,56,62,63,74,88,138,178,218,247,248,196,202,178,91,53,56,88,100,147,37,14,24,30,26,25,128,130,55,56,59,59,72,66,109,161,211,244,250,183,188,187,106,58,51,54,108,145,33,14,22,30,28,21,128,90,79,65,104,129,148,156,174,182,205,229,247,174,169,155,97,68,66,46,86,146,29,13,21,31,28,17,119,101,77,147,172,200,216,201,185,169,205,219,240,150,147,123,73,51,62,56,76,140,23,13,19,30,29,15,111,94,141,189,217,220,213,200,181,166,208,230,239,155,158,172,133,80,46,66,84,126,17,12,18,30,28,14,108,117,178,214,217,214,211,205,186,179,231,238,239,177,165,134,127,124,106,54,78,120,12,12,17,30,30,14,97,160,208,210,218,220,226,203,177,179,242,243,238,175,140,105,88,80,89,90,59,115,7,12,16,30,30,15,90,186,201,215,223,232,224,214,196,201,239,239,231,186,213,214,204,190,184,151,68,105,5,12,15,30,30,17,87,188,203,221,233,227,228,222,214,216,240,238,232,203,221,234,232,226,208,192,119,94,4,11,15,30,29,17,86,174,209,232,224,227,230,230,210,218,242,238,231,223,221,225,234,224,214,188,161,77,6,12,14,1
34,25,25,25,25,24,18,17,35,74,105,124,150,164,147,160,130,117,95,49,30,19,23,27,28,28,28,8,31,25,25,24,19,31,25,37,53,90,123,139,157,165,144,169,149,143,121,74,52,38,25,18,24,27,28,8,28,20,16,14,21,33,39,49,82,134,107,108,155,162,147,171,110,83,136,129,80,57,41,32,22,17,20,5,31,15,24,33,37,43,53,83,119,98,54,65,119,149,145,147,93,82,89,111,143,94,80,74,68,55,29,7,100,108,113,114,117,124,142,174,103,88,60,78,121,157,161,147,77,50,76,82,138,187,135,114,109,114,114,28,131,143,128,144,109,114,151,104,89,105,111,110,123,152,167,135,107,86,107,103,110,162,158,137,158,140,156,54,153,206,183,192,149,175,156,112,67,55,69,77,133,176,187,157,79,61,56,55,92,144,207,188,206,206,198,62,154,223,233,211,188,204,112,91,88,77,84,94,130,172,189,161,103,68,67,75,91,109,199,197,219,219,192,61,152,216,228,200,201,186,114,76,59,56,63,63,118,181,200,168,64,47,52,54,79,119,170,208,211,209,208,66,145,206,219,193,208,165,96,85,78,71,101,94,128,180,189,158,74,75,90,59,65,93,172,216,205,204,175,57,139,196,213,195,219,138,113,71,57,64,76,97,143,189,198,153,92,68,57,61,91,116,145,225,206,186,147,44,123,168,206,192,222,129,86,96,94,88,107,108,155,194,194,151,142,101,78,72,74,115,148,226,206,146,98,21,100,134,183,184,215,138,93,64,54,61,95,121,173,201,206,154,141,106,71,91,98,96,153,226,185,106,68,13,74,108,151,170,216,118,82,77,78,77,114,103,172,202,195,155,161,133,72,61,78,122,142,228,158,85,41,7,37,80,133,161,199,106,100,85,69,81,110,112,190,211,206,172,168,149,106,85,81,103,148,218,137,67,22,2,21,61,118,163,181,119,63,61,69,95,93,128,206,216,203,175,175,156,119,85,106,109,147,210,125,51,11,3,15,49,109,158,185,79,94,79,80,101,100,161,206,218,212,181,188,180,164,84,66,105,142,201,113,34,11,3,12,35,102,154,167,105,80,58,67,85,91,152,213,222,211,182,190,172,168,108,86,100,141,196,103,21,15,3,13,23,95,153,173,93,59,79,87,90,100,162,216,222,216,193,199,184,169,111,93,109,133,192,95,15,18,3,14,16,89,153,172,77,97,73,65,82,84,154,219,223,221,183,186,180,172,123,68,101,147,190,84,10,19,3,15,12,83,155,154,104,68,55,57,81,97,172,222,227,223,178,181,172,156,97,83,84,160,179,69,10,19,3,17,8,70,147,153,74,79,127,172,172,180,207,227,233,232,199,191,180,163,123,98,82,159,168,49,14,18,3,17,11,42,141,125,107,180,194,192,196,193,217,238,238,236,199,209,184,165,155,158,131,145,156,26,18,18,3,16,15,21,122,143,183,195,206,216,220,219,231,243,242,239,221,232,230,227,225,213,185,160,129,13,20,19,3,15,15,13,111,168,198,205,220,229,235,233,241,243,244,246,243,241,239,235,228,222,190,179,95,9,21,20,3,15,15,11,102,172,199,224,232,242,241,239,240,249,250,245,245,248,249,246,240,228,213,175,82,9,22,20,3,15,16,10,87,169,201,224,238,242,244,244,246,251,251,249,246,247,249,250,243,229,212,170,76,10,21,20,3,14,17,9,77,165,200,229,239,245,247,247,248,250,252,252,250,251,250,249,249,231,212,164,63,10,23,20,3,1
1,6,5,5,5,23,12,18,27,50,99,133,148,174,165,163,165,143,121,82,32,15,12,8,5,6,7,4,1,20,40,50,58,59,35,45,69,116,121,120,149,185,175,178,169,154,143,121,73,54,70,87,83,77,74,31,9,88,105,109,123,133,141,135,141,104,52,84,129,179,164,184,173,128,98,139,175,150,122,93,88,81,93,50,16,138,134,137,128,122,136,161,130,135,112,109,129,163,168,192,154,108,104,112,120,149,129,109,124,152,145,71,20,192,178,178,156,147,160,125,78,70,72,87,133,175,175,199,156,110,82,90,90,102,161,139,140,165,181,94,20,194,221,202,168,159,166,81,46,42,53,69,104,174,202,199,113,71,49,43,47,95,157,177,162,189,225,103,24,199,210,174,166,184,116,85,58,40,35,62,116,190,207,203,119,73,49,49,53,78,122,187,181,190,212,95,24,201,203,182,175,172,104,61,34,23,26,44,68,179,221,195,73,39,38,26,46,78,100,173,184,181,201,86,22,184,201,187,188,156,78,32,28,45,61,84,91,175,230,207,125,65,66,33,29,48,103,155,192,185,197,83,24,178,200,188,199,133,67,62,41,24,25,52,90,191,232,216,127,39,38,31,55,58,72,152,194,183,192,73,24,164,198,186,196,115,95,34,21,33,56,82,103,192,231,218,157,100,82,29,31,68,103,106,200,174,179,60,21,142,184,180,187,105,54,55,56,47,46,94,120,211,237,225,175,127,87,61,43,40,67,110,193,160,157,51,15,114,155,163,181,68,60,51,29,36,39,93,135,217,240,230,169,127,73,38,45,59,49,97,191,150,135,42,10,87,129,156,145,97,56,29,33,45,95,123,170,219,243,238,194,158,94,39,33,51,78,93,175,141,120,36,4,60,115,158,129,88,44,49,57,51,100,89,176,225,247,241,199,162,129,74,60,40,67,104,153,141,105,28,2,38,98,156,117,48,76,54,39,55,92,112,180,232,248,244,208,183,153,78,75,82,51,75,159,139,90,19,1,25,83,154,107,76,43,31,63,74,94,116,184,236,248,247,215,205,186,124,47,58,85,62,157,132,74,11,1,17,78,158,110,63,35,63,59,64,88,100,176,236,250,247,210,200,188,159,75,44,55,100,142,139,62,7,1,12,72,158,86,62,72,46,36,64,98,106,180,234,248,246,218,209,187,154,94,75,55,87,146,141,56,5,1,9,65,160,72,60,42,39,70,70,83,87,182,237,244,246,213,201,194,167,88,60,89,65,133,139,52,4,1,7,57,152,97,31,31,49,54,62,78,104,177,233,240,245,208,194,172,156,105,47,46,81,128,140,45,3,2,6,50,150,64,42,50,98,132,153,171,182,213,242,243,246,208,201,190,163,113,100,61,63,128,141,35,2,2,5,45,144,26,62,133,158,178,194,195,204,230,247,250,249,213,214,180,128,93,126,107,100,91,142,30,2,2,5,34,126,54,116,153,188,199,207,214,217,230,248,251,249,226,227,223,219,209,164,81,87,94,141,25,2,2,6,25,107,107,144,171,193,203,216,226,229,238,252,251,252,237,236,236,226,216,190,98,82,132,127,16,3,2,7,17,114,122,164,190,195,212,227,231,228,240,252,250,251,239,236,238,238,225,205,162,140,141,120,12,3,2,7,11,113,130,172,188,205,222,227,230,233,238,251,251,252,244,240,242,241,234,219,185,191,145,115,10,3,2,8,8,95,147,166,188,210,221,227,233,237,243,251,249,251,247,247,247,244,237,227,205,189,157,100,9,3,1
47,49,49,46,39,31,30,30,30,26,82,153,203,228,223,223,197,128,67,24,29,29,29,29,29,31,36,46,46,49,48,39,30,29,29,29,28,18,60,102,157,198,201,195,160,105,64,20,29,29,29,29,29,29,30,38,46,49,48,35,28,22,17,14,18,33,66,99,137,186,189,187,152,108,71,16,22,29,29,29,29,29,29,32,45,43,27,14,20,32,43,52,56,59,79,114,139,178,169,181,153,122,88,53,27,13,20,27,29,29,29,31,18,23,36,54,70,77,76,68,70,71,93,130,151,179,166,181,162,138,109,70,60,52,33,19,14,22,29,32,46,59,69,98,124,119,120,137,122,119,118,161,167,181,177,182,173,158,141,100,78,71,64,58,51,31,14,23,60,81,96,120,143,149,145,152,172,175,180,150,156,191,174,183,180,144,146,159,140,135,127,117,103,92,60,27,78,110,139,150,162,189,189,148,165,170,149,123,132,187,192,198,164,106,122,156,185,178,150,131,142,146,114,66,111,140,143,167,183,190,169,162,180,112,101,105,130,169,185,200,161,112,99,91,130,184,172,198,183,162,130,90,117,144,155,171,192,194,180,178,163,85,69,73,91,161,200,210,159,86,78,76,96,161,185,197,211,178,153,121,106,121,129,152,171,194,182,195,114,97,78,73,93,136,201,211,188,87,72,78,100,129,204,195,214,197,164,145,83,102,111,142,161,193,184,196,116,76,79,80,85,110,207,213,170,81,90,81,86,112,205,200,215,199,176,150,68,79,85,118,156,186,185,186,117,92,77,78,103,145,213,217,192,93,88,76,94,130,186,207,214,188,165,155,49,62,70,101,145,177,193,164,127,91,84,81,98,129,214,221,198,123,111,86,97,123,177,213,209,183,157,130,43,55,60,78,131,162,201,152,102,99,88,89,113,157,220,227,211,121,128,96,111,123,164,216,200,170,136,119,17,18,42,61,109,148,200,147,117,86,80,89,131,156,221,228,214,138,129,102,90,115,178,213,190,166,121,93,33,37,17,48,83,141,193,155,99,95,99,125,121,186,224,231,222,177,117,123,112,131,153,215,177,155,94,67,34,41,29,23,71,138,196,130,134,107,96,120,109,201,229,234,225,191,132,113,106,132,158,210,170,131,69,52,33,42,33,17,68,140,199,146,107,104,102,127,157,213,232,237,230,210,184,116,108,108,162,207,162,99,45,14,33,47,45,21,61,141,199,136,108,110,110,113,140,208,235,240,230,208,195,113,113,138,147,208,157,79,20,39,33,49,46,26,54,141,193,143,129,97,99,103,150,220,237,241,234,220,208,144,107,121,151,204,149,64,18,46,32,49,48,32,48,141,192,124,101,106,121,136,165,222,240,243,234,214,202,145,117,110,134,202,137,47,28,47,32,49,49,36,43,138,171,121,139,188,195,204,220,234,242,245,237,222,211,180,148,130,125,190,121,35,36,47,30,49,49,40,38,135,162,160,212,217,226,230,230,240,248,250,241,231,218,200,180,181,134,185,110,27,39,46,30,49,49,43,33,130,183,203,223,234,238,237,239,245,251,251,244,241,238,236,231,212,183,181,99,22,48,49,29,49,49,46,29,121,197,218,233,239,243,247,247,251,253,253,250,248,245,240,234,225,203,185,88,21,49,49,28,49,49,48,27,112,203,228,237,243,249,250,250,252,253,253,251,248,249,246,238,231,214,186,76,22,49,49,28,49,49,49,26,106,203,227,239,248,250,252,252,253,253,254,252,250,248,248,242,231,217,178,62,28,49,49,1
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28,76,109,55,45,24,4,0,1,32,104,164,230,250,249,251,250,225,171,88,25,2,0,0,10,23,37,102,26,57,107,97,65,49,18,1,0,12,79,127,192,241,213,233,239,186,112,37,3,0,0,11,29,36,80,101,23,54,112,121,99,66,35,9,5,25,57,97,155,204,217,237,197,132,68,9,0,0,10,36,48,50,111,73,19,57,120,143,117,83,72,46,40,57,78,86,120,148,128,162,127,83,41,12,0,9,33,61,63,98,110,48,16,57,112,139,137,99,124,113,89,80,111,127,133,139,121,137,106,92,65,36,25,32,62,75,101,117,92,42,11,47,80,108,118,117,123,145,189,192,161,119,141,160,138,162,127,122,92,72,70,89,92,94,117,140,86,41,6,81,56,85,128,168,129,108,136,160,118,131,159,155,143,159,140,137,192,182,173,155,103,110,136,129,77,40,3,48,45,93,135,186,147,163,127,114,64,108,144,171,170,167,129,104,123,152,123,110,114,125,103,89,60,28,2,21,37,79,129,154,188,152,89,86,51,85,162,183,193,174,129,67,123,132,154,122,152,159,94,63,44,17,1,17,32,72,123,145,178,135,76,76,65,78,160,195,203,172,102,58,75,86,147,174,172,152,99,52,30,9,0,15,29,75,117,183,115,119,99,68,54,63,161,196,207,190,142,55,74,84,129,196,147,129,82,36,24,5,0,12,28,79,119,200,104,84,75,85,100,110,164,200,203,187,161,101,80,89,127,143,173,115,70,31,19,2,0,11,32,78,159,157,114,76,49,42,58,92,169,229,212,194,164,138,73,78,85,105,201,112,65,26,15,0,0,9,36,88,193,112,83,79,60,73,116,128,179,223,215,194,175,159,67,56,84,118,171,131,65,24,11,0,0,8,36,109,183,81,78,81,75,83,99,144,193,236,233,205,157,170,134,76,94,97,144,161,68,23,7,0,0,6,33,128,140,108,51,53,68,111,106,161,199,227,228,206,175,175,158,80,76,79,122,174,72,22,4,0,0,4,33,137,112,59,98,86,66,73,78,156,209,244,240,209,168,168,177,137,56,62,124,171,73,19,2,1,0,1,32,144,102,60,58,73,71,79,96,163,202,237,235,209,171,173,167,149,102,81,64,177,64,14,1,2,0,1,30,148,90,48,46,55,51,39,54,131,202,243,246,208,163,178,184,177,112,43,75,164,58,10,0,3,0,0,31,152,50,114,126,127,122,106,96,144,188,221,237,200,168,167,151,155,133,39,77,162,54,6,0,4,0,1,45,131,137,156,194,207,195,182,153,148,205,230,247,201,155,167,170,150,107,60,57,152,49,4,0,4,0,1,53,153,181,193,207,211,211,216,214,189,211,226,241,186,173,193,203,217,200,117,66,147,55,3,1,5,0,1,64,148,194,207,203,222,237,241,233,213,236,246,248,223,218,223,217,212,189,178,151,140,51,1,1,5,0,2,66,158,172,203,224,236,230,228,227,216,231,236,240,215,216,219,233,230,198,196,197,153,46,1,1,5,0,2,69,154,171,206,224,225,229,231,239,233,246,240,246,236,237,225,222,224,229,206,174,159,41,0,2,5,0,3,76,133,193,200,209,224,236,243,229,210,237,243,244,223,229,232,210,207,217,210,175,152,36,0,2,5,0,3,75,133,193,196,210,233,244,234,226,219,243,234,242,228,223,211,216,195,207,201,192,133,35,0,2,5,0,3,67,149,177,196,222,239,234,232,234,222,246,240,248,233,223,199,192,193,202,201,185,133,30,0,2,5,1
4,44,61,63,56,44,35,16,14,48,88,103,137,126,135,145,106,80,34,14,30,43,56,74,65,53,34,3,7,71,101,105,97,74,68,93,85,76,109,125,149,115,130,151,121,91,80,108,91,71,102,104,119,86,63,6,5,126,148,148,128,116,110,89,195,144,126,134,158,135,158,153,129,140,189,117,123,109,137,148,146,137,116,4,2,145,155,164,146,135,158,115,103,184,195,178,188,141,171,184,191,201,129,120,147,167,137,154,149,144,139,1,0,104,110,125,131,162,191,141,160,167,137,191,194,161,183,198,186,133,197,157,168,203,158,131,125,109,100,0,0,95,123,132,154,178,204,204,136,113,76,125,194,194,211,185,112,98,148,192,215,201,180,147,132,117,80,0,0,70,116,136,157,181,213,151,106,86,87,146,195,201,211,199,116,93,90,126,206,196,188,153,128,98,51,0,0,29,89,131,152,198,183,107,84,58,54,72,177,211,222,176,62,69,82,100,127,211,196,157,111,49,26,0,0,17,38,128,153,223,106,81,79,75,69,91,167,214,220,200,82,77,84,85,91,143,219,158,89,32,13,0,0,8,24,117,163,221,113,72,51,55,57,79,146,215,225,185,80,66,68,63,100,153,212,160,86,25,7,0,0,5,18,112,192,168,100,96,78,67,76,92,176,220,224,215,124,72,90,96,100,91,184,182,92,19,5,0,0,6,13,109,204,160,97,62,50,49,63,84,148,230,227,207,172,76,58,53,58,101,187,194,101,15,6,0,0,7,10,108,211,128,76,78,61,50,79,90,174,233,234,220,177,123,69,69,89,99,125,209,108,12,6,0,0,6,9,104,199,129,88,49,34,40,88,73,177,235,236,220,176,164,82,50,68,85,117,207,110,11,5,0,0,6,9,98,208,78,63,68,65,70,110,113,192,236,237,230,192,182,163,76,74,63,86,205,108,13,5,0,0,5,9,96,179,85,74,59,39,58,48,131,196,239,238,224,193,173,156,95,38,68,114,168,111,12,4,0,0,4,9,94,162,89,34,35,42,72,69,163,200,235,238,231,198,202,192,155,57,47,63,179,99,10,3,0,0,3,9,80,164,45,65,55,45,57,52,123,187,237,242,227,182,182,178,154,97,66,52,165,85,8,2,0,0,2,9,81,131,63,50,36,34,53,54,139,200,232,238,236,201,198,182,160,75,33,75,139,84,8,2,0,0,2,9,80,123,52,28,42,50,48,33,72,194,239,240,231,176,176,169,168,108,40,40,137,76,8,1,0,0,1,8,76,106,40,42,35,50,63,83,93,183,233,234,228,185,176,148,130,70,67,37,109,76,8,0,0,0,0,8,79,83,39,54,106,131,153,157,150,201,239,238,225,148,150,134,98,31,25,48,89,81,8,0,0,0,0,8,77,76,45,116,156,189,184,178,179,202,238,239,222,170,162,157,149,116,58,26,80,87,7,0,0,0,0,7,73,68,104,154,197,203,207,213,213,227,245,245,239,205,211,198,179,174,150,94,50,97,6,0,0,0,0,7,67,83,160,192,205,211,225,232,219,225,249,248,235,208,223,229,210,190,170,147,64,97,5,0,0,0,0,7,60,118,172,199,207,224,235,233,231,234,247,244,244,227,228,227,224,209,156,147,111,86,4,0,0,0,0,6,50,127,179,194,212,230,233,237,241,245,250,248,249,240,236,222,203,205,165,166,147,73,4,0,0,0,0,6,43,123,170,192,218,227,234,241,242,238,248,247,242,238,239,186,163,207,148,142,139,65,3,0,0,1
63,63,60,50,36,27,28,35,35,95,207,234,237,237,226,221,165,100,29,28,27,27,27,25,26,27,26,21,80,94,98,89,65,41,27,27,26,42,187,221,229,228,218,194,138,69,24,28,28,23,27,37,43,44,43,32,120,123,124,115,104,90,69,59,70,94,151,202,219,213,207,182,128,72,34,23,23,35,51,65,76,75,68,47,124,137,157,148,137,132,139,149,173,185,184,180,203,179,189,177,156,151,139,107,91,87,92,100,109,105,97,73,93,133,168,165,160,167,163,161,157,164,189,200,206,181,197,199,186,166,150,158,139,130,126,137,141,132,115,89,83,107,152,170,168,197,186,175,187,191,187,207,214,204,212,203,186,188,173,155,155,159,152,155,156,134,106,70,66,86,124,156,186,203,207,198,144,115,108,163,213,205,216,174,116,118,156,182,178,189,171,154,143,108,85,54,48,64,105,153,189,197,190,147,113,100,92,125,184,207,201,118,94,98,112,147,197,191,175,151,121,93,70,42,35,51,84,151,190,206,180,135,112,95,81,94,172,207,195,82,79,87,105,136,184,192,174,147,107,65,51,32,24,41,81,153,194,174,121,99,88,82,81,101,172,203,203,113,74,81,92,117,141,180,175,141,82,50,39,21,22,36,86,155,207,168,121,97,88,85,95,121,182,207,206,163,84,94,97,100,126,179,181,137,71,42,29,11,24,28,96,157,185,142,116,95,77,93,99,137,191,213,212,177,124,76,71,78,109,156,183,135,66,37,17,15,24,23,106,169,183,124,104,86,74,92,97,157,196,215,216,196,170,106,80,102,124,143,180,133,69,32,14,14,25,17,110,168,165,123,102,78,69,82,117,162,202,219,216,195,180,145,80,87,87,112,180,135,71,21,17,15,24,18,105,176,145,115,85,65,79,88,141,169,208,222,221,201,180,164,98,77,103,132,167,136,71,14,20,15,23,22,99,171,118,110,90,76,85,116,154,184,212,224,223,206,190,167,117,79,87,105,149,139,66,10,19,15,23,24,97,169,101,71,65,62,70,101,142,185,217,227,226,207,196,163,129,71,85,99,130,139,58,12,18,14,23,26,107,131,111,79,61,61,70,95,148,184,221,230,229,208,198,181,150,82,73,67,118,140,51,12,18,14,22,29,115,115,77,56,53,63,76,97,138,173,219,230,230,201,190,170,144,76,61,84,96,134,52,12,17,14,21,31,125,78,57,66,65,69,63,78,123,179,223,232,230,198,186,165,149,98,59,58,75,128,54,11,15,14,21,33,122,80,65,50,50,49,62,75,125,190,227,233,226,187,175,148,122,64,60,58,51,120,54,10,16,14,20,38,117,73,46,50,85,117,140,175,189,212,234,236,224,167,143,127,115,55,44,47,58,101,62,13,14,15,18,44,117,45,79,142,171,183,192,202,213,226,239,241,233,202,188,182,162,132,109,75,49,98,68,15,15,11,17,54,101,88,164,187,206,214,221,227,231,237,244,245,242,230,225,218,202,176,148,139,100,82,72,15,13,9,19,63,109,160,195,216,226,233,235,236,237,242,248,248,245,238,235,231,227,213,189,166,142,102,76,17,12,13,20,64,141,189,217,230,238,240,243,245,245,248,251,251,249,245,243,240,235,229,217,197,162,127,77,20,13,14,22,60,144,189,225,238,242,246,248,250,250,251,253,253,252,248,247,244,241,236,230,213,173,135,76,22,13,15,22,57,138,190,230,241,245,249,252,253,253,254,255,255,254,252,250,248,245,241,234,221,181,134,68,22,15,15,1
34,102,150,134,140,133,162,180,236,212,156,138,145,149,124,158,167,131,132,161,192,205,173,145,131,147,135,219,22,88,127,125,131,170,175,159,163,201,243,187,176,190,125,186,180,164,206,245,204,202,161,179,157,153,122,211,10,70,97,99,154,205,184,167,173,215,157,155,182,196,151,184,188,161,154,178,212,164,171,202,211,137,110,192,3,45,85,108,140,232,190,191,215,180,98,99,153,190,172,212,185,122,85,120,206,223,188,215,218,151,72,170,1,26,68,96,145,206,231,194,111,91,85,76,118,183,190,221,151,80,77,83,91,132,225,239,219,146,67,157,0,16,53,86,140,178,227,166,108,90,80,91,158,195,199,224,164,101,81,75,94,129,217,230,202,144,47,137,0,11,41,84,138,198,197,135,96,54,59,66,107,189,212,213,108,43,54,56,79,107,138,229,204,135,34,118,0,8,32,83,139,227,111,101,100,93,86,85,141,188,203,203,140,73,85,78,95,101,102,182,217,133,27,105,0,7,25,85,146,206,146,100,75,46,44,49,103,199,214,214,142,62,57,45,60,80,117,205,220,135,22,94,0,7,22,88,169,189,112,74,60,51,78,77,138,194,214,215,181,139,103,78,80,85,94,136,235,138,18,86,0,6,23,94,194,134,84,102,98,84,79,73,148,201,221,215,197,168,100,65,86,109,106,109,227,145,15,78,0,5,27,99,191,153,106,58,49,44,70,87,138,205,222,220,172,151,75,56,44,51,85,147,221,156,17,67,0,4,30,105,194,156,56,33,33,37,61,124,183,210,213,224,211,167,141,95,68,63,69,107,205,168,25,54,0,2,29,109,200,74,79,68,51,35,65,83,160,211,224,228,194,141,137,59,54,75,104,98,153,182,35,38,0,1,23,105,181,91,74,54,40,41,83,117,167,210,222,228,199,160,152,98,31,42,47,88,179,178,41,31,21,27,18,97,190,75,25,35,59,73,106,129,176,216,227,232,207,178,164,141,64,44,33,35,163,173,41,29,26,32,14,103,153,54,50,61,41,46,62,106,168,216,230,231,188,160,169,140,82,38,55,69,118,176,37,27,0,0,11,107,120,80,60,26,27,45,50,143,193,221,228,232,207,173,183,161,114,23,25,71,117,173,31,26,0,0,9,107,149,43,32,40,60,66,64,114,155,222,231,237,187,159,175,173,165,54,30,20,92,176,27,23,0,0,8,118,124,21,47,57,50,38,42,93,153,210,229,235,189,164,158,144,132,77,46,41,66,182,25,22,0,0,8,127,98,63,41,28,29,46,73,89,161,218,228,242,198,180,181,159,123,55,22,55,97,170,24,21,0,0,8,133,100,63,25,26,53,48,32,34,120,212,231,243,167,146,150,141,141,64,16,22,89,164,24,19,0,0,8,140,74,33,39,44,23,20,36,89,147,220,214,239,168,146,121,102,87,55,37,32,42,169,24,18,0,0,7,144,42,38,31,31,65,119,160,160,194,234,216,244,153,132,129,114,81,30,32,40,28,157,24,16,0,0,5,120,55,36,79,127,165,175,160,155,175,232,233,247,171,160,168,188,186,145,113,78,50,129,33,15,0,0,5,102,69,105,156,187,190,180,180,180,197,237,236,248,205,205,206,202,208,205,170,137,106,105,36,14,0,0,6,94,103,165,199,209,199,207,222,226,228,247,245,250,237,240,234,222,213,218,222,183,136,129,37,13,0,0,8,111,143,191,224,217,221,235,239,228,223,250,250,250,242,239,243,240,228,222,230,217,174,153,42,12,1
6,5,4,4,5,9,17,30,66,118,136,152,178,145,150,147,142,133,106,44,19,14,8,5,5,6,7,9,6,10,15,19,31,31,43,75,120,150,136,153,181,125,138,163,155,149,147,104,53,28,29,28,22,21,15,8,52,57,78,101,114,119,121,143,157,92,71,100,173,139,152,141,96,61,103,157,138,126,131,123,104,98,88,68,121,113,110,104,115,150,185,167,131,86,65,94,155,131,158,133,83,63,98,139,188,172,146,127,130,136,133,132,150,157,140,132,131,164,151,79,82,78,97,130,162,162,196,155,105,68,74,78,100,184,155,169,180,179,184,160,168,180,185,198,160,188,82,36,29,29,42,99,172,185,214,134,67,42,30,29,52,154,188,186,217,211,196,172,154,193,187,170,189,133,66,47,46,44,54,113,186,193,223,152,68,48,32,40,62,91,195,183,193,200,206,166,164,174,178,164,201,89,63,47,25,31,30,71,190,197,237,163,42,30,25,29,53,73,152,209,189,199,191,164,165,172,172,183,183,65,38,57,65,49,60,61,180,220,241,166,66,59,58,57,43,49,115,218,192,200,178,169,138,170,171,211,137,79,67,58,53,58,62,82,146,230,240,185,65,52,64,44,65,74,96,186,202,198,169,136,141,177,177,221,116,88,49,42,43,65,71,64,119,227,237,207,106,90,53,41,42,66,105,148,215,195,179,136,136,179,186,220,104,63,77,63,57,71,73,87,144,221,246,219,133,89,85,67,75,80,65,137,223,199,173,148,128,174,199,196,118,71,45,39,45,39,85,78,142,211,249,230,143,76,93,64,66,74,86,115,222,195,165,139,109,151,197,195,98,59,54,60,76,85,137,104,144,211,249,239,184,95,108,83,58,62,82,125,195,187,144,103,80,135,198,179,78,94,80,61,67,86,110,124,164,223,250,239,178,113,73,79,66,79,88,92,189,184,124,79,77,123,202,159,105,53,50,49,44,89,81,135,193,234,249,244,197,151,70,79,51,78,90,90,165,186,121,74,81,122,201,147,77,58,71,74,87,92,104,156,203,241,249,244,207,193,128,86,93,63,44,87,145,182,122,63,66,123,195,131,75,88,49,42,88,65,80,148,201,244,251,243,190,191,161,82,66,67,77,65,130,184,120,47,40,118,192,132,57,41,59,62,77,58,84,150,191,243,248,243,197,207,191,111,65,39,65,73,108,186,115,31,20,108,186,110,42,44,72,73,53,43,68,130,186,242,248,245,186,188,189,134,62,79,34,47,110,184,104,17,9,94,177,89,52,62,34,35,31,40,50,117,163,236,242,245,171,168,176,117,46,57,58,40,86,183,91,11,5,72,169,91,43,31,62,100,117,117,103,119,160,228,233,243,170,157,164,118,57,32,44,58,66,177,77,9,5,42,157,91,41,108,174,198,198,192,168,148,183,227,235,247,169,167,160,125,98,104,88,41,80,163,67,8,6,18,142,74,131,182,217,222,222,222,204,174,187,232,238,247,186,187,186,178,180,181,154,115,83,154,56,8,7,9,120,116,183,218,210,218,227,230,228,201,199,242,238,248,216,226,232,229,217,206,198,181,128,149,43,9,8,5,90,161,191,205,210,222,232,240,236,216,215,245,237,246,230,229,236,236,223,208,210,200,147,155,31,10,8,5,64,151,190,197,215,230,240,233,227,223,223,239,228,237,229,229,227,231,232,217,208,202,173,139,21,10,8,4,39,143,173,190,214,233,231,233,230,228,230,241,228,240,232,232,234,232,227,226,203,185,179,118,13,10,1
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45,89,139,135,119,122,129,105,89,102,140,184,194,152,158,126,116,118,128,150,152,134,136,138,146,110,77,30,39,88,133,142,134,131,163,201,162,127,123,128,132,117,148,144,160,192,186,183,168,134,148,149,139,102,70,22,29,79,110,132,138,133,146,134,168,197,155,145,156,125,176,173,181,177,170,145,162,147,154,137,114,84,56,13,16,67,83,109,169,157,147,146,176,144,152,164,164,151,185,182,152,133,198,189,171,173,188,124,88,66,37,7,8,56,75,118,197,172,161,188,147,86,111,144,187,173,205,152,94,72,95,163,199,190,209,137,82,52,24,6,7,69,89,118,176,186,189,139,79,78,118,154,181,185,200,145,68,74,72,100,179,223,190,139,78,41,22,5,6,33,69,117,157,210,158,95,71,53,63,145,193,195,201,104,58,56,81,116,148,203,183,143,83,38,22,5,6,32,82,117,160,202,143,106,76,73,73,156,199,199,204,162,61,67,83,93,113,157,216,149,96,42,21,6,5,36,88,122,195,143,100,94,73,61,71,141,213,210,218,196,94,64,69,75,106,137,209,163,111,54,19,6,5,43,88,139,197,110,90,64,49,83,97,163,215,208,223,218,150,75,69,95,104,111,154,196,126,66,18,7,6,45,98,158,146,105,91,82,60,64,126,172,223,213,222,217,189,140,81,79,75,95,105,203,142,73,28,7,7,45,109,189,86,83,72,78,86,90,145,176,215,214,222,224,196,157,46,67,77,72,106,187,153,86,31,7,5,51,119,175,99,52,67,73,61,58,119,153,218,226,226,210,197,167,59,42,52,79,102,110,183,101,29,4,3,49,134,123,81,87,55,49,58,77,156,183,214,222,230,221,183,180,140,73,78,60,48,100,186,105,23,3,2,45,147,104,64,48,68,68,57,92,146,175,218,230,233,222,189,188,164,92,32,41,62,84,186,102,22,1,0,38,133,116,50,60,43,38,88,125,154,188,216,226,232,224,204,194,181,144,58,31,34,93,151,110,18,0,0,28,138,102,66,30,38,64,77,86,133,181,223,232,234,223,193,184,174,145,98,45,66,47,132,114,13,0,0,21,138,78,50,78,50,35,49,74,135,168,206,229,233,223,203,195,186,158,117,29,20,41,115,122,10,0,0,16,139,76,46,35,33,49,80,75,95,159,201,225,233,226,186,186,178,158,142,52,23,23,93,132,9,0,0,12,130,86,24,28,49,55,49,48,71,153,192,211,232,226,201,198,175,147,123,47,46,57,38,144,10,0,0,10,133,40,51,56,41,27,41,76,98,163,204,211,234,232,178,171,166,151,125,42,29,46,45,139,14,0,0,9,129,35,51,34,25,38,52,96,144,168,207,216,232,224,172,153,132,105,92,41,24,16,44,133,20,0,0,9,118,53,17,21,29,53,119,173,190,197,221,236,244,241,201,185,172,139,88,19,18,17,37,126,26,0,0,9,113,57,13,23,84,164,197,198,193,200,232,241,243,244,207,195,189,193,192,147,68,26,38,108,33,0,0,8,111,47,26,104,165,200,209,218,222,224,242,243,244,249,227,219,222,219,214,210,167,127,55,91,39,0,0,7,106,30,103,169,201,215,223,234,241,243,249,248,248,251,239,244,244,235,223,220,212,174,129,104,46,0,0,6,98,65,159,190,221,225,236,243,246,246,249,248,249,251,246,248,248,244,237,223,221,197,160,144,50,0,0,4,88,141,165,210,226,236,245,249,250,250,254,252,252,254,251,250,250,247,242,232,225,208,165,139,49,0,1
7,6,36,49,16,39,65,90,138,149,145,193,187,151,196,150,161,155,107,60,35,21,21,22,34,46,41,43,4,4,12,36,67,86,97,135,157,149,178,192,183,151,194,183,133,101,147,131,90,103,121,127,114,98,92,117,22,44,71,80,104,107,131,154,60,62,113,186,189,137,191,145,63,54,98,171,202,166,129,107,128,123,146,176,97,120,128,131,153,139,159,87,53,51,96,155,190,155,205,145,70,71,118,115,145,182,143,129,191,186,206,176,145,153,175,187,200,217,142,95,76,66,80,146,197,177,197,111,73,61,70,45,53,171,178,168,187,212,219,153,152,184,157,131,175,170,76,86,109,93,121,143,197,198,217,116,47,33,37,41,59,99,198,164,150,185,200,167,197,212,148,140,208,112,65,39,26,30,47,137,206,214,205,71,36,36,28,25,33,87,154,190,149,160,197,151,191,177,141,176,200,107,34,37,45,51,66,89,188,227,200,104,40,45,38,59,69,48,104,214,158,157,192,146,199,192,149,202,163,72,86,56,41,33,61,89,197,231,221,118,21,35,24,22,35,71,95,195,171,165,194,137,204,204,168,220,135,94,47,32,31,43,47,80,196,228,222,138,47,80,58,58,48,39,104,168,197,179,192,124,157,205,198,224,161,59,53,62,74,65,97,107,186,236,235,164,59,66,25,36,65,96,78,139,215,184,181,116,153,177,214,217,133,101,82,46,27,33,53,98,201,234,230,148,131,79,46,36,43,63,86,124,221,181,160,111,158,169,213,199,135,112,55,31,43,74,89,109,208,229,241,181,151,97,97,97,80,49,51,141,216,172,154,104,157,177,206,218,132,62,69,80,55,73,95,129,219,233,246,182,155,103,63,48,47,76,90,98,215,172,144,94,154,171,209,210,124,98,69,40,44,90,75,127,220,235,248,201,187,150,69,55,43,47,90,106,201,174,133,83,139,164,207,186,149,102,42,42,56,111,81,172,226,232,249,227,188,142,84,66,75,86,49,101,197,174,121,67,104,151,199,203,114,81,82,78,71,94,69,179,234,242,249,224,177,175,123,51,70,74,82,87,187,167,113,46,57,130,190,184,102,88,90,65,61,91,64,164,234,241,247,236,208,216,174,78,43,41,72,117,166,170,109,31,23,108,177,165,132,95,49,57,107,102,102,183,229,242,249,244,192,193,181,88,89,55,59,83,167,169,104,20,9,84,162,180,106,70,68,85,80,68,66,152,226,241,248,245,188,188,183,80,63,94,64,56,150,165,92,12,5,53,143,181,76,63,105,73,40,59,61,162,218,237,243,248,203,200,189,93,45,53,74,78,118,160,72,8,4,26,119,161,84,82,46,45,60,68,66,139,225,240,242,251,182,155,150,103,38,27,47,82,101,156,49,7,6,10,97,162,81,57,30,36,76,91,105,118,206,241,237,250,182,176,185,142,127,121,58,37,108,153,31,7,6,5,80,162,62,29,53,122,142,162,174,171,203,240,237,251,214,212,180,129,119,200,170,64,91,147,21,8,6,4,59,150,46,43,146,184,195,206,218,213,228,244,241,250,234,179,176,160,134,175,208,175,88,143,16,8,6,3,35,137,39,137,177,197,216,225,214,204,217,249,244,247,241,180,156,139,141,164,211,213,148,136,13,8,6,4,17,127,87,191,193,209,225,220,221,218,220,245,238,245,247,193,160,149,140,168,214,205,185,124,12,8,6,5,10,113,157,177,211,223,219,226,229,228,234,247,235,242,249,234,209,200,182,196,224,197,187,111,11,8,1
11,10,8,6,4,9,17,20,22,63,97,113,145,142,152,149,115,97,58,30,28,26,22,17,11,8,7,10,71,5,7,12,21,28,36,36,38,70,113,126,155,139,143,158,129,115,81,62,59,55,54,52,44,29,17,10,96,23,38,67,79,77,71,79,87,120,134,141,161,158,163,167,143,142,137,114,108,119,118,124,118,103,79,28,30,89,123,138,148,155,161,153,161,120,84,133,163,153,151,171,122,93,122,170,175,165,152,141,150,146,122,68,67,123,161,165,163,157,152,162,128,105,80,87,149,161,174,167,103,86,103,113,148,175,159,189,178,172,140,94,93,143,181,194,205,170,181,117,82,77,71,101,133,159,170,159,88,53,55,59,97,186,175,196,208,189,163,128,129,165,192,215,198,187,174,94,42,37,43,64,125,186,196,154,67,58,46,58,86,133,196,184,202,197,173,136,138,170,204,213,192,205,122,84,62,37,35,74,131,187,200,167,66,28,29,43,57,110,192,191,201,205,173,147,145,176,209,210,199,202,118,65,34,32,29,35,90,201,217,174,55,40,52,42,63,86,173,203,200,197,158,127,139,157,194,209,202,196,98,71,53,42,53,63,101,198,222,184,85,42,32,35,54,100,150,212,197,194,152,122,125,151,190,210,211,164,120,80,46,34,36,47,117,210,224,191,77,48,47,43,62,79,119,215,195,187,142,109,126,145,179,204,218,160,88,74,60,52,57,81,107,208,233,192,133,100,71,54,61,80,118,210,198,178,136,95,114,134,165,198,220,152,99,81,62,54,66,97,142,215,237,210,142,95,52,32,35,51,114,197,200,170,133,76,95,130,154,193,218,153,96,49,39,40,60,97,122,214,239,215,152,87,85,61,59,82,97,168,199,160,120,49,54,111,149,180,218,120,95,86,71,67,95,106,149,219,239,224,174,86,77,55,62,77,103,166,199,149,98,29,22,70,137,171,206,139,93,70,57,55,98,67,151,224,244,231,177,108,66,56,46,49,82,162,200,145,76,16,9,44,124,166,205,132,78,60,66,69,97,87,165,228,245,237,199,153,94,77,69,82,104,137,204,144,63,10,6,33,116,168,194,113,115,89,57,62,69,94,194,234,245,243,206,169,110,55,51,86,108,149,202,142,56,7,6,26,109,171,183,129,89,75,57,60,61,95,179,234,246,245,201,184,149,56,62,67,88,142,203,140,51,5,9,18,101,171,175,111,77,69,71,76,80,106,190,229,242,246,215,198,176,90,81,75,93,111,197,137,44,4,11,14,92,173,146,90,97,86,70,57,50,77,184,233,241,248,210,184,152,65,63,88,105,106,176,134,37,5,11,11,82,174,127,90,85,57,43,50,55,94,177,232,237,247,196,169,132,46,47,60,70,108,159,133,31,7,12,9,74,170,124,69,47,100,146,152,166,187,216,239,240,248,203,180,169,117,95,72,44,68,140,131,27,8,13,9,63,164,94,68,145,184,203,209,205,200,212,242,244,250,223,207,187,175,162,162,146,74,93,137,26,8,13,9,55,156,72,154,200,216,220,219,217,209,216,242,245,249,229,227,222,221,218,216,211,172,100,137,26,9,14,9,48,141,139,197,221,224,229,234,233,230,234,247,248,251,242,236,237,236,231,225,218,204,164,137,27,10,14,10,41,149,188,212,221,231,238,243,244,240,235,250,250,251,245,238,240,243,240,233,223,208,195,142,27,10,14,11,35,151,206,214,227,236,245,246,245,244,239,250,250,250,247,244,245,244,244,240,228,218,201,145,45,54,1
23,20,20,21,20,16,20,53,87,139,158,157,200,184,200,173,156,149,97,68,27,10,12,14,14,14,14,15,11,9,76,23,17,28,51,101,132,175,167,178,204,158,183,186,178,175,153,113,71,36,19,11,10,10,10,9,55,62,75,85,88,77,99,147,138,78,67,120,194,169,178,195,119,83,112,157,125,90,100,105,95,90,90,78,130,123,120,129,150,185,201,182,121,96,81,117,173,158,185,161,113,80,123,157,210,195,167,139,135,137,149,142,167,171,162,137,162,175,205,146,131,132,101,126,188,185,206,163,102,103,128,123,156,194,175,163,170,184,182,179,193,215,230,186,162,187,143,56,52,95,110,157,184,202,217,178,108,93,73,59,80,149,183,166,220,216,215,192,194,211,166,160,164,161,77,68,44,38,48,94,192,216,228,156,55,44,36,49,68,89,192,166,168,194,213,198,195,199,151,150,182,128,54,51,59,60,77,97,171,216,231,178,82,65,77,81,58,57,174,173,162,185,213,194,186,185,147,152,194,92,54,67,62,64,64,72,168,224,227,165,72,48,50,43,66,98,124,201,156,176,197,168,159,180,148,165,171,111,70,38,35,42,68,79,176,221,230,182,83,59,75,57,54,74,112,214,164,178,182,139,142,184,165,184,173,77,69,76,77,61,68,90,174,238,229,176,82,82,57,68,102,81,84,219,185,192,172,140,143,190,193,202,169,80,93,73,56,53,93,96,178,234,238,177,133,101,72,71,52,77,130,197,211,211,177,141,97,140,196,220,161,114,57,66,88,80,108,114,188,235,245,198,136,93,80,81,87,85,114,199,221,188,104,46,40,75,136,225,158,105,94,83,56,50,125,109,190,230,243,218,143,114,81,64,72,116,116,185,223,116,58,22,24,72,117,209,152,114,93,58,66,95,142,116,195,232,248,232,160,143,90,98,95,72,113,190,200,108,50,18,17,60,116,196,165,87,64,101,108,96,124,111,210,240,248,240,179,150,96,79,85,101,110,164,193,112,35,18,15,47,114,193,128,99,96,72,75,111,115,131,226,240,248,247,207,201,151,84,82,88,118,138,196,108,23,20,17,31,109,190,106,109,83,81,93,106,107,127,210,248,250,248,196,200,171,90,114,94,65,136,195,102,17,21,18,18,98,183,134,56,71,104,97,68,91,127,208,243,247,250,219,209,196,100,69,79,88,112,195,95,14,21,19,11,81,178,122,75,72,59,83,94,104,121,202,244,247,251,205,195,194,116,70,50,101,107,190,91,12,22,18,7,62,169,113,101,55,55,81,77,73,113,205,240,241,250,203,188,180,95,83,85,58,103,183,83,12,23,18,10,38,163,131,53,56,90,60,63,72,120,203,236,235,249,189,172,168,82,68,96,65,88,178,73,13,23,17,11,21,148,125,51,56,68,52,96,130,162,210,237,235,250,176,131,126,92,57,51,82,86,160,66,14,23,16,11,11,127,89,70,52,89,161,192,190,194,215,235,231,249,204,179,188,178,146,79,60,84,142,62,14,23,15,11,6,112,77,54,125,182,200,209,206,211,224,241,231,249,213,201,207,202,194,187,116,58,141,59,14,22,14,11,4,96,88,98,182,213,212,218,226,208,214,245,236,244,209,196,209,211,222,207,191,116,128,60,14,22,14,12,4,78,119,161,197,203,217,229,228,209,218,241,233,245,219,217,230,235,227,219,195,190,144,59,14,22,14,12,6,59,154,181,199,205,226,231,227,219,229,238,224,244,235,234,241,232,229,222,201,201,168,57,14,22,1
20,46,22,22,20,18,15,12,52,144,197,237,232,233,232,185,121,50,10,17,17,16,13,9,11,13,11,14,19,90,21,21,19,17,15,8,39,77,142,204,201,195,194,137,115,78,22,13,10,9,12,32,53,51,40,25,17,18,18,18,16,15,11,11,46,96,110,149,145,144,155,147,137,87,42,33,28,33,78,113,116,111,89,58,13,13,13,12,11,8,11,26,42,123,142,166,161,145,187,165,148,102,56,60,92,127,129,138,139,144,131,96,6,5,6,8,12,22,31,36,62,135,160,178,172,141,194,168,152,138,114,138,103,127,143,147,166,178,139,115,43,50,54,60,73,71,61,67,125,98,102,173,175,136,193,155,84,124,199,142,104,130,162,167,195,164,135,110,99,99,98,96,102,137,168,176,149,74,87,142,185,149,201,146,116,121,146,178,166,142,168,195,192,145,125,114,154,133,166,114,93,135,173,134,153,126,103,149,191,169,204,149,99,74,115,139,200,192,190,205,191,158,120,91,186,191,179,135,142,187,146,77,61,68,88,151,198,192,217,167,93,70,67,90,152,225,200,188,189,166,127,94,182,203,191,181,181,195,93,47,43,42,64,128,203,207,224,147,64,59,55,79,110,187,212,186,197,166,124,78,168,187,164,165,204,127,77,48,39,44,66,111,213,212,234,194,79,77,67,65,106,138,200,197,200,165,102,58,155,181,172,182,195,104,54,64,74,58,69,86,204,225,239,207,86,66,85,89,98,113,171,220,198,164,94,50,147,181,183,203,187,90,82,66,53,74,82,99,198,229,241,227,118,77,88,64,82,115,148,228,195,155,89,44,138,189,193,225,155,122,76,72,68,75,103,112,204,241,237,225,152,77,87,84,83,99,152,204,201,143,78,38,117,171,201,233,146,103,92,84,74,93,103,117,212,242,241,221,193,133,60,58,79,108,119,193,203,135,71,33,83,142,199,237,164,95,66,71,71,78,112,150,225,243,246,226,178,175,91,99,83,73,107,185,208,134,67,26,45,116,188,225,148,109,93,72,54,81,117,157,227,245,244,228,197,203,96,72,78,92,109,164,216,138,67,21,37,98,176,229,127,89,80,102,76,122,109,185,232,243,248,228,199,217,152,75,78,75,101,151,219,139,63,17,32,98,175,222,134,75,76,62,51,110,102,180,235,246,246,226,200,221,199,108,85,72,71,144,218,137,57,15,27,94,170,215,128,100,62,57,85,95,117,202,241,246,248,232,201,227,221,174,67,76,100,125,217,134,46,16,16,83,162,214,116,75,80,102,111,69,107,178,241,249,249,226,182,211,225,209,113,70,83,128,212,128,33,17,10,65,154,205,105,70,83,93,77,68,96,179,240,246,248,228,189,208,214,208,142,71,65,116,207,122,24,18,7,47,138,193,105,90,52,56,68,70,71,162,245,245,248,229,181,202,220,200,139,58,91,111,200,112,19,19,9,30,131,187,90,62,64,62,75,106,136,178,243,239,247,224,169,187,178,180,129,71,76,97,192,104,16,19,10,20,120,179,69,45,70,156,183,197,210,218,247,236,247,232,175,175,169,159,107,81,65,74,184,95,14,18,11,14,107,156,61,80,162,207,223,218,195,203,248,245,248,237,180,195,215,213,207,131,73,75,159,87,13,19,12,10,94,141,77,181,206,221,227,215,198,204,245,243,245,238,199,216,177,152,189,213,175,95,136,84,13,20,17,10,75,139,152,197,226,227,227,224,218,222,245,237,240,241,220,225,170,147,155,198,219,149,136,77,16,22,1
6,5,5,6,8,13,19,24,26,44,109,127,150,128,95,139,132,126,64,20,16,13,11,11,9,9,8,7,9,24,45,53,53,38,30,34,47,93,149,163,189,166,117,174,167,168,124,57,46,70,95,102,91,83,63,42,79,91,104,122,139,147,138,118,128,139,84,105,180,158,111,186,157,107,140,185,166,139,102,74,73,73,84,109,117,127,105,103,96,134,146,188,176,140,82,107,196,198,171,207,128,65,86,131,165,137,120,83,117,146,135,154,113,157,180,194,158,131,175,100,57,90,89,96,161,184,180,198,107,75,61,65,54,159,151,142,162,189,191,147,147,175,193,151,144,161,171,74,50,46,56,76,161,212,214,203,82,39,33,31,54,115,172,145,143,169,192,145,152,181,179,138,159,190,98,74,37,33,48,56,138,204,213,189,59,46,38,27,32,78,151,163,134,143,187,176,157,192,180,153,195,134,60,66,70,56,53,49,139,217,234,189,63,33,40,58,67,52,77,198,147,139,175,149,126,170,187,169,206,131,88,59,30,27,50,47,126,209,235,183,73,42,48,25,28,60,100,198,163,148,178,131,110,152,196,179,194,124,62,47,62,45,43,65,164,217,240,206,87,45,57,51,42,38,77,167,185,160,177,118,113,140,197,198,148,70,85,75,39,31,65,62,145,218,235,198,106,61,37,34,59,92,72,97,210,170,170,120,121,135,190,216,132,94,50,37,50,69,106,112,165,223,242,210,175,116,61,39,29,37,72,133,205,177,159,122,31,44,144,212,153,62,49,62,50,34,68,90,177,229,247,186,147,144,61,66,61,56,59,109,195,173,120,59,22,41,98,198,103,118,103,62,51,73,109,113,214,230,249,197,153,162,65,54,59,87,116,99,160,178,70,33,17,41,107,205,145,87,74,71,77,118,122,149,226,233,251,211,198,183,134,50,55,63,73,117,195,182,57,28,12,41,135,208,113,98,92,85,76,94,81,134,228,236,251,207,195,176,177,94,76,93,97,108,181,197,54,21,9,41,153,171,170,148,92,71,80,78,89,162,235,238,252,212,210,197,188,131,74,89,132,174,165,207,55,14,7,42,157,183,122,115,105,102,115,107,76,144,225,239,252,202,174,200,216,184,81,92,101,127,190,201,50,10,7,48,167,155,109,105,107,95,85,56,69,124,223,234,249,191,165,185,192,167,92,100,114,120,155,186,41,8,6,59,151,140,148,102,72,68,44,52,83,130,218,229,247,187,168,184,181,141,53,65,77,116,162,169,41,7,5,67,154,69,71,70,58,95,126,145,151,176,232,241,246,190,137,127,118,106,51,51,60,71,100,159,46,7,5,72,124,31,31,91,177,178,170,198,192,202,239,238,245,217,182,173,152,138,107,74,51,41,50,148,39,7,5,82,74,45,109,170,181,185,206,222,221,213,233,245,249,218,142,144,145,135,134,132,121,71,68,122,33,7,4,92,67,115,183,187,199,218,229,224,205,206,233,247,250,211,124,101,107,99,90,74,111,133,93,113,34,8,4,84,123,147,192,207,225,228,225,224,214,205,233,247,244,215,160,100,84,75,77,76,111,106,117,121,31,8,5,68,150,156,193,222,221,223,229,230,229,224,238,249,250,237,221,214,216,204,209,189,181,151,132,137,25,8,5,63,136,185,213,214,221,227,234,241,239,229,241,248,247,235,187,232,236,224,229,220,208,212,180,137,21,8,5,41,127,200,211,216,226,236,241,240,232,220,240,246,246,242,204,236,242,241,235,220,217,207,197,131,14,8,1
12,10,7,7,6,25,38,20,31,48,97,113,132,170,180,174,147,106,87,45,18,7,6,7,7,10,14,18,17,10,5,17,30,49,64,61,46,60,118,132,145,182,172,180,157,125,115,59,38,39,31,25,24,9,10,19,20,14,44,109,136,140,123,85,62,67,127,148,158,191,159,187,156,139,117,68,50,87,119,113,83,42,15,15,33,94,166,154,159,177,196,148,84,109,166,167,161,203,159,191,163,157,125,81,105,166,171,152,129,136,102,36,65,129,168,182,202,210,162,193,180,127,107,172,190,197,151,191,185,176,175,133,173,199,186,179,181,185,159,100,80,140,171,219,220,206,178,171,158,129,67,99,185,205,163,190,166,86,97,191,206,169,203,225,219,193,159,112,109,172,196,226,207,194,195,92,78,115,89,112,175,196,171,187,129,87,119,154,149,192,192,190,222,200,190,139,124,168,211,228,222,216,127,56,57,85,116,120,180,209,199,189,125,113,107,77,93,179,199,200,218,205,186,150,136,163,210,238,227,184,99,66,42,40,67,139,182,207,213,192,135,92,79,76,78,134,208,205,229,214,178,159,133,169,212,234,229,149,60,58,55,59,66,96,185,223,231,188,82,53,46,44,80,117,196,198,224,203,185,148,144,154,187,229,221,112,78,69,64,57,77,115,198,218,235,191,102,87,71,63,66,89,183,196,219,167,167,158,131,165,190,222,191,130,68,44,45,75,84,100,212,229,236,190,86,53,63,71,81,76,177,199,209,164,139,144,127,167,177,224,178,89,89,74,66,72,113,150,213,234,235,192,103,94,77,43,57,104,170,208,206,166,146,112,115,134,168,223,166,98,77,57,43,46,83,146,223,242,235,197,129,101,69,75,64,103,172,215,206,163,137,111,62,57,106,217,174,86,55,60,75,86,119,156,233,243,237,182,141,100,59,55,106,94,168,212,193,133,95,80,28,57,110,199,138,112,86,66,64,101,125,190,237,244,248,210,164,109,102,78,64,105,179,205,138,63,26,34,25,58,122,196,122,120,78,57,59,141,109,201,239,247,243,204,162,104,79,88,81,97,190,176,108,46,19,21,23,57,125,188,125,66,89,88,93,119,121,221,246,249,249,219,189,144,65,56,95,125,165,160,106,29,17,21,23,49,121,179,94,76,75,75,105,94,118,223,246,247,246,213,194,167,82,91,86,102,160,159,97,19,17,23,23,37,117,168,91,92,61,88,132,124,154,224,249,250,246,220,220,205,102,104,88,77,171,155,81,12,17,21,23,29,116,163,74,76,95,119,94,76,152,233,246,250,249,207,204,214,152,59,71,104,162,147,62,8,17,20,23,22,110,153,73,75,112,92,70,90,143,231,246,249,241,207,204,202,169,79,72,103,163,140,44,8,18,19,22,17,104,144,94,67,62,108,105,102,149,235,245,247,247,208,218,208,173,85,100,70,171,136,29,11,19,18,20,14,104,141,62,68,67,73,61,80,129,235,240,245,243,178,180,201,176,72,76,85,168,124,19,12,19,18,19,12,100,139,47,54,69,104,143,158,157,230,242,247,233,164,161,149,137,65,62,93,153,110,14,13,18,18,19,11,93,113,52,110,181,212,231,223,204,243,238,246,238,154,148,142,116,78,65,64,150,94,12,15,17,18,21,14,81,89,136,194,212,236,233,224,213,244,244,246,229,171,212,230,203,160,106,52,143,77,15,20,17,20,25,20,61,107,169,189,201,210,211,210,211,234,228,231,215,205,214,207,203,177,160,98,114,56,21,19,15,18,1
7,23,23,23,23,23,21,21,15,32,54,81,129,144,144,138,91,65,42,22,17,14,13,13,13,13,13,8,7,23,23,23,23,35,16,17,26,40,67,90,122,143,144,139,101,82,50,33,27,15,12,13,13,13,13,8,7,23,23,21,17,14,20,30,35,47,81,105,125,149,145,146,115,102,64,46,38,33,24,15,10,10,13,8,7,16,14,19,25,32,37,42,51,68,111,115,136,153,143,155,127,111,118,80,74,67,61,52,39,26,16,6,7,24,38,55,72,85,97,108,114,136,84,77,118,161,142,164,107,80,126,163,139,126,99,94,81,58,45,20,13,64,76,87,90,89,112,120,155,117,88,84,105,165,171,166,102,74,73,87,154,121,124,125,115,113,101,46,25,97,120,127,148,123,111,142,106,57,59,76,110,170,182,178,89,52,48,57,110,154,128,164,169,148,114,60,32,122,144,174,155,126,133,142,77,44,41,54,101,171,192,185,78,49,53,51,60,149,155,147,172,167,152,88,42,152,159,179,142,147,169,97,56,55,46,49,81,180,206,203,87,42,48,48,72,110,178,165,176,182,157,101,46,147,169,182,156,159,169,97,58,45,51,65,87,186,211,213,124,56,67,57,68,106,173,176,178,186,162,103,45,151,157,179,163,173,157,90,75,52,47,63,101,198,222,222,160,65,65,64,75,98,158,188,180,178,140,110,47,131,137,177,169,188,148,89,56,54,64,77,139,204,226,225,188,137,90,71,66,95,146,201,181,170,153,108,44,137,137,164,174,200,139,86,72,58,51,75,150,212,231,235,185,152,88,63,86,105,119,207,183,160,138,100,38,122,120,155,176,204,120,97,68,58,83,117,177,211,229,238,204,184,154,82,71,83,138,188,184,154,126,87,33,101,108,147,174,195,116,79,81,81,101,133,176,217,239,244,205,194,182,146,92,100,106,160,180,137,94,60,17,51,82,127,169,165,115,95,69,73,93,142,184,221,237,245,216,205,197,178,130,88,106,142,183,121,70,29,8,29,60,107,170,154,90,83,91,94,103,144,184,220,240,249,214,202,202,199,169,90,90,116,188,120,66,19,4,20,52,104,178,111,99,87,82,85,85,135,180,216,234,247,216,205,197,189,166,93,103,94,168,123,60,14,7,15,46,101,165,109,80,72,76,81,93,111,179,219,232,250,217,202,200,186,168,91,64,91,140,129,55,13,8,13,40,95,153,85,61,74,86,87,116,136,176,217,226,246,208,188,182,160,130,80,70,73,99,135,51,14,8,15,33,91,125,61,87,123,145,168,182,191,204,231,237,251,222,202,189,153,144,127,107,71,76,130,47,17,7,18,26,88,100,92,148,170,186,198,207,207,212,240,246,252,230,209,212,203,190,185,156,134,95,116,43,15,8,20,21,79,103,143,167,190,207,215,218,219,220,243,250,253,235,223,228,227,224,210,172,178,141,118,39,17,7,22,18,66,128,154,183,206,215,223,228,229,233,247,251,253,244,239,236,234,227,220,190,189,165,132,34,20,8,23,17,57,139,163,196,209,220,230,235,239,237,245,251,252,247,244,245,240,232,218,214,193,177,124,30,21,8,23,16,47,131,176,200,213,225,235,240,242,236,248,249,252,251,247,248,246,235,224,210,201,177,111,27,22,8,23,17,39,116,174,197,214,229,236,240,234,214,229,251,253,249,246,247,242,236,223,206,191,170,99,26,23,8,23,19,32,102,160,192,213,225,233,231,204,202,217,250,251,246,247,245,241,233,223,204,184,152,88,25,23,1
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71,110,159,172,147,127,105,43,4,13,83,124,153,158,149,166,130,93,26,2,20,75,114,140,149,160,158,95,61,105,148,161,178,144,145,116,76,99,126,135,158,151,137,166,147,142,112,75,98,131,136,173,175,158,122,85,49,100,134,167,178,168,160,197,217,197,193,173,166,158,149,187,189,220,216,219,182,154,161,190,168,151,112,70,37,86,120,167,179,185,186,193,197,225,195,183,197,191,184,209,200,193,211,200,189,185,181,189,169,130,100,54,23,69,106,133,153,204,207,210,220,179,128,166,200,201,205,219,174,133,179,222,209,209,201,167,137,110,80,35,16,55,90,113,160,214,231,209,149,113,106,122,178,200,218,201,120,99,98,135,208,234,211,168,112,88,61,21,45,48,75,106,161,209,237,176,133,108,92,100,163,207,229,167,93,91,113,125,166,224,211,170,97,72,51,15,69,44,70,103,162,225,183,143,105,111,112,105,152,201,236,175,98,101,93,94,140,173,228,171,88,66,45,11,11,41,66,104,172,219,146,144,118,90,88,82,142,205,246,188,82,77,88,113,127,152,213,180,89,63,40,10,12,37,64,110,188,196,152,117,109,95,97,107,169,211,244,205,84,97,100,102,114,141,185,202,96,61,34,13,14,33,62,119,212,154,133,120,104,83,97,121,170,226,241,209,112,110,82,101,109,123,143,220,109,60,29,15,15,29,59,130,203,173,104,102,99,88,91,119,174,230,242,219,140,123,93,92,93,97,159,216,126,59,24,16,17,26,59,137,203,137,130,82,64,61,93,117,171,233,249,219,154,109,87,67,81,122,131,200,142,56,20,18,19,23,59,139,210,120,92,102,88,73,122,120,196,235,249,232,159,104,101,96,101,91,110,206,148,55,15,19,21,20,55,142,191,115,104,83,87,74,127,121,197,240,249,230,180,141,84,69,68,99,108,195,147,51,11,21,23,16,48,133,177,119,69,70,81,85,107,123,216,244,249,234,187,168,115,79,75,65,120,169,142,40,11,23,26,14,35,119,185,70,102,78,62,66,91,145,210,247,249,232,189,188,148,71,65,96,81,168,128,25,14,25,29,19,14,96,168,96,55,66,108,106,100,140,202,243,249,235,183,182,168,114,74,55,85,151,117,13,17,26,30,23,9,72,165,75,58,83,94,70,75,114,193,243,248,229,189,186,163,115,75,68,63,148,101,10,18,27,32,26,12,57,149,56,88,70,72,65,85,101,200,241,244,238,190,189,177,131,52,67,80,121,93,8,20,28,33,28,14,47,136,74,57,72,76,71,73,82,171,242,242,231,172,174,158,121,66,62,60,119,91,8,21,29,33,29,16,39,134,68,47,62,82,121,152,169,201,240,232,231,168,159,148,111,88,78,47,106,89,8,22,30,34,30,18,32,127,55,60,106,160,183,195,195,213,245,238,239,176,186,210,185,150,145,107,81,90,8,22,30,34,31,19,25,115,52,132,166,196,211,207,195,202,241,235,241,186,206,215,209,189,173,165,98,88,8,22,30,34,31,20,21,110,98,165,198,219,224,228,212,213,245,236,244,214,219,228,223,213,194,175,154,85,8,22,31,34,31,21,17,106,148,185,216,223,232,234,233,220,244,241,242,222,236,235,223,207,202,191,169,81,8,23,31,34,32,22,13,112,174,206,216,227,233,238,231,224,238,228,237,223,229,236,223,199,189,197,163,77,8,23,31,35,32,23,10,96,169,209,215,226,232,229,228,224,242,234,240,226,226,228,222,202,194,201,157,70,9,23,32,1
16,17,17,14,10,51,47,24,41,79,100,134,165,139,133,151,117,110,60,19,6,10,15,18,19,20,20,20,14,15,12,9,3,12,28,35,49,79,114,145,175,149,150,155,137,119,61,32,21,7,8,12,15,17,18,19,11,8,5,4,16,28,37,48,61,112,135,146,171,134,153,157,151,136,72,42,31,25,15,8,6,7,10,14,6,3,13,28,39,43,48,65,120,116,80,124,186,147,168,157,128,100,128,66,42,35,31,28,26,21,15,9,8,26,53,77,86,86,98,124,130,61,57,95,156,143,165,126,71,53,94,138,102,104,100,94,91,70,45,31,34,78,103,130,145,157,145,173,120,80,54,111,179,162,172,99,70,57,119,178,163,110,92,105,106,95,104,69,60,119,139,140,164,121,149,108,50,73,84,113,178,168,172,124,98,78,89,106,173,141,114,135,132,154,142,96,80,101,158,183,192,142,175,60,45,44,47,101,175,191,192,122,65,48,65,74,155,177,177,193,194,193,152,111,100,133,169,206,194,182,154,55,40,43,47,72,176,194,208,172,80,65,43,52,116,206,173,194,207,182,176,131,109,160,194,214,187,203,105,78,52,48,55,61,182,210,223,191,55,49,47,60,100,199,198,169,199,183,170,162,120,170,201,214,198,209,92,62,56,51,51,58,191,212,225,196,54,73,47,55,111,153,221,180,199,176,174,159,141,166,205,206,207,201,81,62,77,77,91,82,187,223,230,215,69,68,62,77,82,128,233,190,199,154,126,152,156,175,183,207,213,172,111,72,56,47,74,84,173,230,232,215,123,68,59,53,89,118,223,201,203,150,112,111,174,163,171,202,219,160,95,62,58,64,71,102,184,230,239,213,170,110,72,74,74,129,204,218,205,147,109,117,145,170,166,203,231,136,82,100,76,64,86,106,204,236,245,224,184,124,64,68,97,133,173,232,200,136,99,128,130,159,159,197,226,138,90,66,81,89,124,112,210,229,245,229,194,177,88,77,77,101,157,239,188,137,75,106,111,132,160,186,221,110,85,84,95,109,132,161,217,238,248,236,195,184,145,85,94,86,144,229,185,132,59,49,57,58,135,162,205,101,91,89,64,92,93,160,222,239,246,234,212,209,187,114,74,100,142,210,186,119,58,27,20,33,102,152,183,110,65,68,105,105,116,173,217,242,251,241,200,215,213,169,79,95,118,199,190,119,54,26,9,28,87,143,174,78,75,90,112,110,103,156,210,237,248,237,196,199,200,194,125,83,96,192,197,125,54,19,12,20,73,137,147,79,90,100,80,82,80,141,213,232,249,244,205,211,209,187,131,90,115,155,203,128,50,14,14,12,57,132,127,94,69,75,72,72,77,127,207,237,247,247,181,188,202,195,132,70,113,125,203,127,46,11,14,6,45,130,128,58,63,65,116,151,151,151,189,223,239,242,181,184,199,193,168,117,90,120,186,121,34,12,14,4,36,124,105,44,101,174,185,199,192,206,220,242,245,250,215,214,173,144,130,109,162,123,174,106,24,14,13,4,27,120,74,103,167,200,216,222,228,220,232,248,248,249,217,178,152,130,104,91,168,175,170,87,18,16,12,6,20,113,87,163,182,201,226,236,233,226,230,245,246,250,230,165,142,134,134,137,173,199,180,74,15,17,12,7,15,95,132,173,194,207,227,229,237,232,242,245,240,252,245,210,214,230,239,231,220,209,171,75,14,16,12,8,12,80,155,168,199,218,221,233,240,241,236,240,240,240,239,246,244,247,244,239,222,199,168,76,14,17,1
9,18,22,24,24,21,52,6,18,76,108,105,140,154,168,139,104,102,66,25,6,6,13,20,23,24,24,20,11,17,17,15,11,5,24,28,36,88,128,133,141,147,149,149,135,125,76,40,33,21,10,5,11,18,23,24,11,11,5,5,16,28,34,37,44,92,162,155,165,152,147,159,141,145,120,64,40,35,33,29,21,14,13,25,7,8,18,33,48,76,88,70,77,136,96,70,131,152,150,163,94,74,112,137,110,124,121,90,70,55,37,30,29,44,67,83,96,119,150,183,200,158,103,74,134,152,153,159,95,73,120,153,190,153,108,80,77,77,62,65,88,110,100,110,107,90,133,182,138,95,105,108,140,164,192,172,115,94,97,77,121,177,130,111,164,136,155,131,120,169,178,182,165,129,180,154,92,68,60,53,121,194,203,174,76,61,52,57,90,143,183,143,174,201,195,142,146,171,198,202,151,163,193,109,73,48,55,77,116,192,211,164,83,57,57,75,76,95,200,181,179,220,175,149,157,178,186,184,137,171,174,80,73,69,60,57,76,191,214,177,77,78,74,55,67,99,172,178,150,193,187,142,145,176,191,180,158,201,138,93,69,57,77,72,83,196,211,195,107,64,59,71,91,86,139,204,163,179,162,149,140,135,151,188,168,207,129,79,85,76,53,64,101,173,207,191,111,105,72,67,72,96,119,212,174,189,150,136,106,123,142,193,179,210,107,82,57,57,80,71,131,201,235,210,154,120,77,82,80,74,132,210,183,195,151,125,121,149,160,196,201,189,131,67,70,62,51,90,106,177,234,223,154,114,101,66,66,105,107,207,193,199,155,134,126,144,177,205,218,187,105,107,76,64,96,121,121,202,243,239,206,127,96,95,89,75,111,193,202,200,157,134,59,46,90,193,227,177,114,69,70,84,101,115,145,196,240,242,191,152,100,80,77,96,100,183,214,164,98,103,25,39,53,135,225,174,98,85,77,59,83,141,181,229,246,247,217,185,163,96,73,76,120,157,208,120,77,48,18,29,58,96,204,145,108,87,70,92,103,139,145,206,247,248,199,175,171,104,104,88,82,152,183,115,80,35,20,14,55,103,185,150,80,77,100,81,78,123,168,220,245,248,211,189,189,123,86,90,93,126,183,119,73,28,17,8,44,103,181,129,88,88,64,59,77,110,156,213,233,248,195,164,177,125,82,71,86,121,181,112,57,24,15,11,27,93,174,102,80,64,62,80,101,125,157,204,230,246,178,150,154,94,87,95,64,105,174,104,39,25,13,14,15,81,168,101,58,114,166,172,180,189,196,229,241,247,204,190,178,117,104,75,71,85,170,96,26,26,12,16,6,62,156,71,149,199,206,215,228,220,191,226,246,247,222,155,122,114,121,151,103,82,158,80,18,26,11,17,5,39,144,128,194,216,223,234,234,231,204,228,242,245,237,217,224,224,226,213,167,112,149,56,17,25,9,17,10,21,128,182,195,212,234,232,236,240,225,239,241,235,243,229,227,230,222,215,194,160,140,34,22,24,8,16,11,12,104,166,200,223,235,235,239,243,241,234,239,242,232,235,240,228,218,209,206,171,127,22,23,22,7,14,11,6,81,161,191,214,227,235,242,244,229,229,241,242,230,225,232,236,218,203,189,170,113,16,22,21,5,13,12,3,63,150,193,201,221,236,237,235,229,239,239,237,233,220,222,225,221,197,184,164,86,10,22,19,3,11,11,4,40,143,181,199,216,225,231,236,225,229,240,245,225,219,218,218,210,201,174,153,55,8,20,18,1
4,59,33,3,4,9,19,35,57,91,131,144,158,179,152,168,164,141,128,98,75,60,40,20,8,2,2,3,6,9,13,14,22,31,53,74,94,118,152,169,176,191,169,204,176,164,166,160,121,99,84,64,39,20,10,4,18,28,40,59,85,111,131,141,162,196,195,189,193,206,160,193,209,159,129,158,190,180,157,134,111,83,53,23,53,80,94,102,101,111,136,187,199,169,126,134,138,198,201,222,204,138,117,133,121,165,200,162,131,126,109,69,79,117,124,116,128,146,198,199,122,109,81,94,125,188,215,218,194,102,72,63,73,126,193,183,169,144,141,109,107,132,158,181,198,186,211,151,87,55,49,64,114,159,225,232,153,77,70,77,91,90,129,212,196,210,195,119,123,152,183,204,183,199,181,107,82,62,42,44,76,171,225,218,137,83,54,45,50,81,131,217,201,215,220,133,142,179,195,203,181,216,177,84,43,36,43,58,65,141,226,225,150,65,58,53,59,84,113,179,220,209,220,152,142,176,203,214,192,218,132,103,82,59,53,55,72,156,232,227,180,91,80,68,77,98,116,149,234,214,236,161,129,153,183,218,201,219,136,81,52,38,38,58,61,133,237,236,200,90,78,70,55,57,90,162,231,224,222,148,108,150,176,216,216,206,115,71,58,61,64,83,103,156,239,231,212,138,125,75,81,94,120,131,222,229,213,143,106,153,171,204,231,178,140,102,55,40,36,50,83,157,244,241,208,138,98,56,55,84,99,147,234,230,202,148,89,140,166,187,231,196,96,70,55,52,49,83,104,176,241,243,212,130,122,103,76,69,86,131,217,230,184,143,57,103,145,165,231,165,115,88,89,83,94,123,122,190,245,243,217,160,114,108,85,92,130,146,201,222,176,125,24,52,101,142,223,176,122,73,41,47,81,89,122,191,244,249,212,160,118,89,63,80,92,124,221,199,147,84,9,16,54,137,220,137,76,71,67,68,77,96,153,208,242,246,218,191,154,121,95,89,78,111,182,190,114,39,5,9,56,142,202,146,100,92,91,86,77,101,141,207,243,249,215,184,173,112,103,94,112,133,175,188,102,24,8,7,52,143,206,125,80,49,43,54,71,88,134,211,238,248,216,185,175,103,72,57,80,90,183,178,88,20,11,10,38,137,180,62,49,40,51,54,99,106,154,219,237,249,215,200,198,131,79,72,48,59,142,172,70,17,10,13,24,119,141,62,54,73,77,64,80,85,136,215,233,249,213,184,184,115,65,75,67,82,124,161,50,15,9,13,16,89,125,81,48,46,40,48,77,105,155,216,232,247,206,179,176,103,47,38,39,77,131,139,32,16,9,13,13,71,115,42,41,35,83,136,166,181,176,221,230,246,202,169,158,101,45,40,44,43,103,116,22,17,9,13,11,66,82,38,61,137,178,197,186,169,170,213,228,246,205,173,167,142,111,92,55,38,84,95,15,18,9,13,11,67,67,64,159,196,205,201,194,180,189,222,240,248,229,204,154,118,94,76,96,60,86,72,12,19,9,14,12,59,72,149,195,204,202,203,200,205,193,233,242,247,237,161,112,70,68,60,64,116,98,50,14,20,9,14,15,52,124,178,195,204,208,213,221,206,196,229,239,242,214,139,112,91,71,71,90,127,124,39,18,20,9,14,17,47,142,172,200,208,213,227,222,215,214,240,238,240,237,209,205,197,195,190,181,155,131,30,19,20,8,14,17,41,133,175,203,210,227,225,225,226,223,238,231,234,243,239,234,229,223,220,190,160,115,21,20,20,1
9,7,53,21,7,13,20,41,83,114,125,173,141,141,169,117,118,111,55,32,22,15,13,13,17,14,6,4,7,5,6,11,14,18,26,59,140,163,158,185,154,162,177,154,146,145,119,58,29,53,82,94,81,43,25,10,16,15,16,15,17,22,42,126,157,100,134,186,168,159,194,148,69,61,131,117,129,169,144,108,80,77,96,37,44,88,104,89,47,35,92,154,70,56,79,159,165,159,195,123,73,44,117,196,198,137,153,130,125,146,147,79,37,47,72,125,170,129,151,136,38,27,60,125,169,180,200,120,46,91,140,114,189,172,198,196,165,192,159,86,65,100,118,136,138,191,187,127,63,42,46,89,162,164,200,127,106,133,120,75,125,210,192,206,233,211,159,115,98,169,175,138,124,190,102,133,119,67,84,107,168,190,220,153,84,48,39,51,108,206,199,200,220,215,176,136,128,170,126,131,139,160,61,70,56,47,71,80,170,197,223,134,46,54,38,32,74,175,216,210,207,208,172,144,124,142,112,122,162,133,47,25,43,62,94,116,181,208,228,177,69,48,41,50,81,112,226,211,197,222,171,152,126,144,109,125,177,113,28,32,44,46,77,122,198,218,234,175,42,33,25,35,90,98,216,208,199,222,173,146,138,142,112,133,185,68,56,38,22,26,51,86,188,224,229,155,53,71,51,57,48,82,208,208,202,209,168,141,124,145,115,139,176,61,68,25,34,52,66,90,189,236,222,199,94,78,61,73,66,71,186,211,198,209,152,159,110,152,124,153,177,62,42,72,52,54,69,72,205,241,230,208,86,91,36,36,63,107,150,217,193,206,166,147,90,153,131,166,185,58,62,54,36,42,65,75,201,242,238,205,98,104,61,51,46,108,149,219,187,199,176,150,88,140,147,182,169,103,50,35,55,72,115,122,219,242,235,234,150,113,117,78,92,92,134,219,170,186,174,154,84,137,167,199,171,110,56,63,55,70,85,148,216,248,245,238,154,93,70,67,112,102,127,213,152,163,143,148,81,136,178,204,178,82,121,75,38,77,78,172,208,246,240,241,189,138,87,97,69,88,147,190,139,109,55,53,64,131,174,212,171,104,84,72,86,116,131,210,224,245,238,243,217,188,127,110,79,82,107,192,134,91,35,11,21,67,162,212,170,100,60,96,97,112,129,208,224,248,246,245,206,188,148,98,97,118,80,181,148,78,36,9,18,43,121,208,149,103,99,75,75,108,137,203,214,248,246,246,194,195,164,74,103,101,110,152,163,81,36,8,13,45,92,207,141,106,109,66,71,102,157,196,213,248,243,245,210,215,198,132,85,53,109,150,175,86,35,6,10,43,90,204,155,78,78,93,99,80,133,179,215,248,248,246,204,197,199,158,88,67,81,133,183,91,33,5,8,39,98,201,144,71,63,103,72,70,100,164,208,242,247,244,190,191,186,134,59,108,75,105,188,91,29,4,7,32,102,197,107,92,62,59,66,81,106,180,205,234,239,241,191,202,200,143,51,68,76,100,187,90,23,4,8,24,102,194,98,74,117,142,174,178,154,169,217,234,239,236,189,201,186,143,138,99,62,104,181,86,16,4,7,15,91,182,107,119,182,213,218,206,190,181,232,244,246,243,199,204,187,174,167,182,161,94,181,83,10,5,7,9,71,174,139,182,206,234,228,232,232,217,235,246,242,243,218,223,221,215,200,212,204,144,183,76,7,5,6,5,53,165,169,207,225,224,229,234,245,242,246,247,241,248,237,235,235,228,218,217,212,186,183,67,5,5,1
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10,7,2,0,0,23,9,0,2,21,54,108,78,93,135,77,36,11,6,2,8,26,35,53,78,104,77,179,46,41,26,7,0,48,27,0,3,30,62,121,102,107,100,80,67,46,30,78,85,54,72,106,126,189,166,219,75,76,58,30,14,3,1,3,16,47,71,106,100,84,146,105,87,73,127,201,98,95,122,138,160,215,168,217,91,101,86,66,50,55,49,27,48,74,92,119,114,100,137,113,113,169,208,111,99,198,171,151,197,221,177,200,162,178,132,118,96,81,146,198,114,104,117,125,150,90,160,142,133,174,186,173,137,213,201,168,181,193,123,185,152,189,148,142,140,148,96,131,201,190,130,134,166,112,163,172,159,107,110,205,202,230,225,196,166,152,125,177,139,196,176,134,159,189,122,135,197,158,128,128,161,121,174,192,102,55,96,110,191,236,219,218,185,154,101,154,87,162,168,143,177,204,156,184,151,78,79,77,137,146,180,185,131,69,104,116,117,200,229,219,178,142,86,120,68,112,137,163,184,216,207,167,103,68,85,115,161,174,195,197,128,32,52,64,84,174,220,227,180,139,89,81,40,78,118,171,179,187,196,121,97,65,45,63,138,180,193,198,174,63,72,82,79,81,148,242,188,148,87,59,20,63,103,154,179,208,140,89,54,49,62,77,140,192,185,206,201,106,47,70,58,84,115,220,207,155,87,47,7,46,95,152,180,197,115,56,68,45,40,56,154,194,182,195,180,171,99,82,62,53,97,219,230,169,88,39,2,29,92,144,202,141,51,59,44,30,45,63,124,197,192,193,201,172,110,49,46,74,110,110,218,188,91,24,0,14,89,141,229,109,75,32,42,45,68,53,131,204,214,212,177,146,129,55,38,42,48,118,196,217,93,15,0,8,84,143,221,141,50,50,35,15,38,71,118,187,218,213,202,172,180,125,57,69,65,68,173,235,100,19,0,5,78,150,199,69,80,34,17,27,56,114,160,188,226,225,215,173,155,136,31,25,48,120,146,187,128,38,0,3,73,161,175,81,26,38,36,23,44,86,132,174,229,225,215,186,186,162,104,38,41,61,83,174,161,55,0,3,64,160,199,50,48,33,17,23,58,115,149,185,231,223,225,191,170,186,150,60,74,64,48,133,176,60,0,3,54,172,136,109,41,16,29,46,63,71,123,187,239,237,230,169,162,176,162,72,15,32,70,140,195,66,0,2,43,179,131,53,45,53,20,14,23,34,114,144,230,234,233,191,176,177,165,112,24,26,34,117,201,70,0,0,33,164,129,42,39,13,15,19,19,26,96,166,221,234,240,184,137,135,99,50,18,46,63,37,209,76,0,0,22,151,135,59,12,52,81,63,60,58,82,134,223,236,241,172,138,139,153,139,139,126,91,88,175,97,0,0,13,139,128,47,121,154,134,140,152,147,143,158,214,227,237,191,166,196,183,79,180,104,46,117,173,115,0,0,7,122,105,120,187,180,185,199,194,181,165,183,222,240,245,211,175,208,90,67,113,102,80,96,164,135,0,0,3,95,141,153,174,213,220,203,199,197,197,178,222,241,245,221,221,209,96,144,154,87,58,98,131,162,0,0,1,70,180,169,204,215,208,210,221,230,230,218,224,240,243,236,233,138,110,184,214,141,56,55,145,159,0,0,0,55,153,197,214,209,218,233,234,229,227,226,237,247,248,247,196,119,135,187,168,91,71,37,114,168,0,0,0,44,133,185,205,220,234,233,231,233,235,232,238,248,249,242,177,188,197,195,141,63,74,71,67,186,1
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0,0,11,50,66,95,88,157,151,148,205,238,239,238,211,237,242,228,206,150,159,161,94,91,46,39,18,2,0,0,9,49,62,84,89,102,161,125,171,220,236,242,238,249,233,218,164,139,155,106,120,96,50,31,10,0,0,0,6,44,58,73,98,94,106,168,134,189,228,215,211,227,219,172,143,146,127,92,105,107,57,28,5,0,0,0,4,33,52,65,122,120,96,131,198,163,198,203,191,194,152,141,170,140,95,107,102,81,57,24,1,0,0,0,2,25,42,66,131,135,104,95,114,172,177,169,155,173,150,166,166,96,104,117,100,72,54,18,0,0,0,0,1,20,35,62,131,140,111,121,143,143,159,141,156,144,140,128,102,108,127,137,92,62,42,12,0,0,0,0,1,17,28,65,113,131,126,191,111,108,138,155,154,166,151,143,159,118,141,148,106,52,28,8,0,0,0,0,1,15,29,67,103,155,172,98,62,84,142,158,172,160,139,78,153,170,144,137,110,43,22,5,0,0,0,0,2,14,33,75,116,162,98,74,55,46,122,163,166,168,98,38,59,119,189,123,112,38,19,4,0,0,0,0,2,15,36,88,170,141,79,59,56,57,119,163,179,166,120,55,79,94,153,139,110,43,16,3,0,0,0,0,2,16,52,117,156,89,71,59,54,48,118,180,190,173,127,36,53,70,101,191,110,56,16,3,0,0,0,0,1,14,66,128,111,62,50,47,70,81,152,184,191,183,159,66,68,76,82,139,123,70,18,3,0,0,0,0,1,14,63,167,79,71,67,47,50,80,155,201,200,187,151,117,53,61,65,111,184,83,23,2,0,0,71,0,0,12,64,118,56,38,41,37,55,139,163,201,207,186,170,162,103,66,79,96,149,90,23,2,0,0,45,0,0,10,84,136,88,78,56,64,86,127,157,209,217,193,147,156,117,68,51,45,143,102,24,1,0,0,0,0,0,8,86,82,35,42,41,60,101,131,167,199,206,204,173,184,138,105,55,75,140,98,22,0,0,0,0,0,0,7,105,98,68,59,60,65,70,107,164,210,218,195,161,165,146,118,62,58,87,114,17,0,0,0,0,0,0,8,99,24,42,38,33,44,52,97,151,189,212,203,178,181,155,129,62,58,86,116,12,0,0,0,0,0,0,11,97,49,48,56,51,45,39,59,157,224,236,191,150,157,150,118,43,19,59,114,8,0,0,0,0,0,0,16,102,36,57,99,138,153,170,175,202,217,233,202,177,181,163,118,52,66,51,100,7,0,0,0,0,0,0,30,64,103,143,175,186,180,165,164,208,232,244,185,154,146,116,49,20,38,52,101,6,0,0,0,0,0,0,36,94,164,192,207,216,214,209,204,212,220,242,186,168,169,171,156,83,29,20,112,6,0,0,0,0,0,0,40,144,166,182,199,212,214,205,200,232,242,250,204,189,191,193,196,183,125,56,98,7,0,0,0,0,0,0,58,141,164,192,212,228,234,232,227,235,244,249,211,206,201,195,190,176,160,142,88,7,0,0,0,0,0,1,71,127,172,211,235,241,244,242,237,248,250,249,210,198,218,226,215,195,165,143,115,6,0,0,0,0,0,2,77,134,195,220,229,214,230,247,241,242,239,235,201,204,215,222,223,223,185,144,126,6,0,0,0,0,0,3,74,158,192,213,222,217,226,249,240,246,238,243,232,230,230,231,223,217,208,155,113,7,0,0,0,0,0,4,77,159,186,216,226,234,233,248,231,241,247,245,225,234,244,241,230,221,194,173,106,7,0,0,0,1
3,24,23,23,26,38,32,23,14,40,93,113,160,151,133,157,130,82,44,15,27,27,27,26,26,26,24,0,3,32,34,32,23,19,21,27,58,85,108,120,141,135,129,146,127,94,60,17,18,23,22,18,17,17,16,0,10,89,80,76,59,65,93,148,143,124,134,136,160,155,146,167,134,113,91,70,31,17,20,30,37,41,44,0,17,150,129,125,102,93,111,150,190,193,169,165,186,165,156,186,175,172,177,182,173,92,64,63,76,79,86,0,18,163,164,166,165,166,176,184,177,126,138,172,177,177,174,186,165,138,131,161,134,121,110,108,120,124,120,0,18,172,184,179,181,208,206,152,109,100,109,139,182,194,195,195,130,106,117,154,179,173,148,152,157,142,140,0,15,153,172,178,199,221,190,139,98,85,102,139,190,203,204,182,125,104,79,87,139,192,192,173,158,155,121,0,8,123,168,181,204,221,149,108,93,89,99,106,166,211,210,164,87,79,89,100,129,194,206,177,152,133,72,0,4,46,141,179,213,167,118,105,97,95,99,106,175,213,211,184,122,111,100,103,120,151,202,176,149,69,41,0,3,34,97,179,206,159,110,80,75,87,98,112,185,211,213,175,113,109,96,85,106,123,169,184,121,39,35,1,1,22,91,193,185,132,116,90,83,84,93,130,188,217,217,204,117,119,95,94,100,111,172,190,105,38,29,0,2,14,94,208,142,130,113,78,81,94,119,169,202,221,217,208,172,122,102,95,92,119,144,184,103,36,16,0,3,13,87,209,121,96,114,78,62,65,93,152,202,224,224,206,165,110,75,76,88,108,123,190,101,32,12,1,3,14,81,199,134,82,77,75,77,107,115,173,210,225,226,214,189,136,110,91,71,99,137,178,106,23,16,1,2,13,85,197,101,90,82,71,61,101,113,167,210,227,230,212,188,167,102,94,95,116,96,158,119,17,19,1,2,11,105,190,90,77,62,70,80,112,121,186,218,227,232,220,208,186,138,98,85,75,85,151,123,16,20,1,2,10,111,196,83,54,66,72,65,74,111,170,216,228,232,221,207,191,166,87,79,77,82,150,130,17,20,1,2,9,115,169,87,82,58,52,62,78,124,172,216,228,234,223,206,192,170,120,78,69,92,134,130,16,19,1,2,10,119,154,83,52,62,59,60,59,86,163,214,224,233,222,201,186,148,95,77,66,60,129,132,17,19,2,2,11,119,135,67,50,56,47,40,56,88,173,219,228,237,223,201,188,149,78,51,55,89,106,136,15,20,2,2,11,117,104,53,64,49,37,43,72,84,148,220,223,235,222,194,167,117,55,64,60,50,105,136,14,20,2,2,12,119,70,56,44,50,85,126,144,176,202,233,226,238,223,187,155,95,49,70,62,48,82,127,13,19,2,2,13,107,59,43,67,136,164,174,191,202,199,239,239,243,235,203,182,156,124,70,49,64,53,121,9,17,2,2,14,110,45,97,167,192,199,212,220,212,214,243,243,243,243,203,157,129,128,134,98,44,57,105,8,17,2,2,14,105,70,167,201,212,224,233,235,235,232,249,249,248,247,218,186,159,145,144,158,87,60,90,10,17,2,2,15,90,140,189,210,227,237,240,243,245,241,249,250,249,249,234,233,227,209,180,182,164,96,72,11,17,2,2,16,70,153,200,221,234,241,243,248,249,249,253,253,252,253,247,246,243,238,230,205,180,141,56,12,17,2,2,18,48,146,185,220,238,242,248,250,251,251,254,254,254,253,248,247,245,241,231,208,178,145,51,12,17,2,1
10,12,12,11,10,8,5,8,18,34,86,109,130,177,133,171,132,115,105,35,20,22,33,50,38,29,19,10,10,9,8,6,4,7,18,27,32,48,95,123,142,181,130,173,145,128,113,53,28,56,115,104,82,70,97,59,9,5,6,16,79,73,65,48,49,58,114,138,141,187,132,181,139,150,134,80,71,131,130,115,108,142,147,119,6,12,55,112,138,141,126,79,70,115,153,163,164,165,113,170,162,167,166,148,158,170,140,178,182,194,165,134,23,94,137,141,161,182,174,166,153,102,45,84,164,195,127,175,159,75,51,160,213,169,164,199,208,191,180,171,88,148,166,179,209,173,152,184,153,120,49,73,124,176,124,169,135,68,60,134,168,193,156,151,196,180,183,169,84,126,181,215,206,196,192,96,59,99,103,85,149,199,161,187,123,59,56,91,105,166,182,149,187,194,188,154,117,162,193,224,196,199,154,53,48,54,93,116,156,185,168,185,123,93,76,67,54,94,201,165,179,188,171,161,134,180,217,226,213,205,100,50,26,26,33,76,150,203,210,212,133,60,44,42,54,70,163,190,182,181,132,143,146,174,223,228,224,173,60,53,57,52,54,73,122,205,210,208,142,64,60,35,33,66,127,201,192,171,126,117,148,171,224,230,226,140,72,42,34,36,47,80,136,211,231,230,146,54,62,60,59,59,95,196,201,167,128,111,140,175,211,223,217,112,57,49,46,61,78,96,153,200,223,208,131,41,66,50,55,74,92,175,209,174,138,119,176,180,196,217,191,91,89,62,47,48,76,121,168,222,237,220,165,93,101,66,42,48,99,174,216,174,134,96,167,178,189,216,190,90,46,44,49,48,69,105,173,218,229,216,148,107,74,40,62,65,93,161,220,161,122,59,144,171,159,220,159,81,66,66,54,69,98,136,202,228,234,237,184,142,86,54,36,78,99,131,219,150,103,33,133,143,134,216,122,102,71,49,49,62,127,113,195,225,238,233,172,139,83,84,80,47,78,137,211,138,80,22,108,92,133,205,136,63,61,63,64,112,141,120,215,234,240,237,186,139,93,51,60,69,61,133,203,128,56,14,31,71,135,199,96,62,67,72,66,94,106,128,234,241,250,235,196,191,167,70,51,62,96,104,200,121,42,10,16,66,126,186,82,91,55,53,80,109,103,140,238,241,247,229,177,196,188,129,68,62,83,113,196,114,34,9,13,57,124,172,85,56,67,96,138,99,100,149,234,243,249,239,184,206,195,151,69,75,61,123,194,109,24,10,10,46,120,161,65,56,92,100,68,67,80,150,236,241,250,223,164,187,201,177,70,71,83,113,191,105,17,12,8,37,123,146,68,75,57,70,89,89,97,146,239,243,248,226,180,179,188,185,93,59,94,104,188,99,14,13,8,28,126,141,64,59,49,66,72,68,90,171,238,242,251,219,173,191,177,148,96,78,65,101,180,88,11,13,9,21,122,126,45,34,75,111,134,142,125,178,234,236,249,190,147,160,180,163,98,57,64,91,176,75,10,14,9,15,117,94,51,127,185,215,219,211,189,213,245,245,246,193,192,181,174,184,163,136,78,72,166,60,9,14,10,12,108,84,153,198,210,230,241,235,224,240,248,246,251,223,176,180,174,175,180,191,176,94,152,46,8,14,10,9,94,147,196,216,224,235,231,229,220,236,250,250,248,224,224,238,245,236,233,230,208,176,142,35,8,14,10,8,75,167,192,213,235,230,232,232,231,245,245,246,247,231,232,239,237,243,228,222,212,196,145,27,9,14,1
0,18,18,18,30,12,16,31,35,68,106,122,159,177,162,167,127,114,78,30,25,16,14,16,18,19,19,4,0,17,14,12,24,44,65,76,82,97,121,134,160,164,154,170,136,127,95,59,56,50,38,26,19,15,12,2,0,10,25,60,86,99,114,115,117,144,167,159,166,167,151,174,160,174,147,121,140,145,125,120,125,107,80,10,0,86,134,155,160,173,185,201,196,156,115,137,169,172,156,179,145,124,166,202,194,143,138,131,139,161,171,32,0,154,170,160,171,160,163,166,112,118,119,129,166,170,166,182,128,102,104,87,125,176,164,205,221,218,200,33,1,165,186,220,209,174,182,113,87,87,90,95,144,172,174,165,111,76,65,69,107,149,201,189,214,235,209,38,3,207,222,223,202,216,146,97,74,52,50,81,140,185,185,173,91,51,57,76,88,111,206,192,201,230,219,35,6,226,230,221,203,209,126,103,83,76,73,68,117,183,185,175,127,58,58,59,87,124,156,211,202,224,217,31,8,222,235,223,217,173,130,100,68,51,57,58,101,185,195,193,143,55,67,73,92,110,127,216,198,214,199,29,11,224,220,220,223,157,112,104,86,71,71,85,106,187,203,197,166,59,72,65,87,101,130,197,200,209,188,24,13,210,213,215,220,155,106,74,62,61,74,78,113,178,207,195,154,98,80,62,66,76,115,176,203,165,172,23,15,201,166,204,220,127,112,85,63,58,81,105,135,189,212,197,156,129,68,67,58,100,104,142,206,123,110,18,13,130,122,182,211,126,74,61,52,47,51,94,126,192,214,203,145,135,100,69,71,60,87,145,191,118,76,7,4,51,96,152,196,110,83,64,58,56,87,121,141,191,214,214,163,132,87,60,67,77,88,109,182,119,84,4,1,31,97,139,177,108,77,50,48,45,103,77,138,192,214,215,164,146,125,44,53,56,95,100,180,115,81,3,1,13,83,136,164,60,73,73,59,64,104,79,148,197,213,219,191,177,161,122,52,74,58,75,180,111,66,2,2,8,60,135,138,82,64,51,57,51,71,81,141,196,214,220,173,173,160,132,82,71,70,65,171,107,49,1,2,9,41,131,136,54,42,54,70,75,88,81,137,183,206,220,177,184,174,149,105,38,46,67,162,110,31,0,2,11,26,135,111,33,55,73,70,39,68,63,125,188,204,221,162,167,166,148,129,57,46,36,154,114,17,0,3,13,16,140,83,55,45,47,46,59,71,76,103,189,203,220,163,163,154,141,117,49,57,46,117,111,10,0,3,14,10,134,80,46,31,40,56,66,72,75,112,193,206,226,171,164,156,132,97,35,45,72,95,108,7,0,3,15,8,123,72,32,38,38,51,68,86,108,160,215,216,225,146,140,131,111,70,30,39,46,104,101,6,0,3,15,6,122,54,30,57,110,146,173,183,190,205,224,226,236,170,156,164,162,130,130,83,31,104,91,8,0,3,15,6,104,55,59,136,165,190,200,207,212,221,237,239,243,222,222,202,177,182,177,158,83,96,78,9,0,3,15,7,71,74,125,161,193,213,226,230,229,232,243,245,246,233,238,240,236,229,218,202,161,112,56,11,0,3,15,9,37,119,148,180,211,230,236,239,243,245,249,249,251,246,246,244,243,237,227,210,185,153,29,12,0,4,15,12,17,137,151,198,223,235,241,246,248,249,252,252,252,251,251,250,247,244,235,214,195,147,14,14,0,3,13,12,8,108,149,205,231,240,245,248,250,252,254,254,254,253,253,252,249,245,240,222,184,122,10,14,0,1
4,8,14,15,19,39,45,61,66,130,158,176,207,158,201,182,147,136,98,52,53,45,50,58,50,37,20,8,21,45,77,103,117,125,112,100,102,138,175,190,201,162,196,189,161,140,113,105,125,147,142,106,101,100,88,42,84,127,116,103,111,129,168,200,195,205,193,197,223,165,212,199,184,197,189,199,179,134,117,133,140,159,145,98,121,148,161,171,134,129,180,210,183,157,140,184,225,184,221,213,171,163,199,200,203,159,140,199,188,182,160,119,140,153,176,202,180,171,203,134,83,100,94,140,211,194,237,194,102,98,95,95,186,210,187,210,212,164,180,137,164,160,178,186,141,172,175,116,70,68,80,139,212,207,236,170,83,79,64,79,135,212,172,175,205,169,181,150,160,161,181,172,150,202,92,61,52,37,38,93,207,227,238,135,57,50,59,73,89,136,204,164,200,183,173,152,153,159,183,171,172,178,85,69,74,72,71,77,197,226,231,113,81,67,75,78,82,130,218,171,196,165,160,148,143,130,167,178,197,168,92,50,40,44,49,70,191,236,232,121,57,64,50,51,61,103,201,190,198,159,132,145,105,119,156,190,213,93,71,63,63,60,69,70,167,234,238,170,71,94,75,86,106,113,151,213,207,148,128,117,101,113,148,201,213,124,89,95,75,67,96,93,187,239,242,215,70,63,53,57,73,82,174,220,209,154,131,117,102,119,155,200,217,124,58,47,46,51,74,100,169,245,243,215,120,109,81,88,80,82,130,219,201,138,98,112,71,77,143,198,180,111,91,77,82,102,103,126,197,243,247,232,168,104,61,65,74,107,143,215,195,80,34,59,27,27,106,188,207,125,84,54,41,46,88,118,193,244,250,216,162,102,76,54,63,75,107,221,176,73,31,18,9,24,70,182,186,88,49,58,57,73,127,118,176,239,250,226,190,136,90,94,97,86,109,181,166,73,22,20,12,14,59,182,139,127,101,88,75,95,126,137,193,238,251,229,180,113,70,67,55,77,137,173,169,69,17,21,13,8,56,175,168,102,63,47,46,94,90,122,197,244,252,229,186,162,86,91,75,70,76,172,166,62,14,21,13,6,49,171,135,68,75,97,84,113,90,161,219,243,250,238,215,198,121,79,105,97,87,141,173,57,13,20,13,7,40,172,132,105,83,80,72,88,97,147,198,246,252,234,192,196,152,79,61,59,92,146,175,55,14,20,13,7,32,167,134,75,42,46,65,87,96,138,180,238,250,235,211,211,191,77,68,57,68,113,177,53,14,21,13,8,25,169,88,48,57,70,73,76,101,146,193,240,250,240,209,196,182,85,87,90,51,89,170,50,15,21,13,8,20,160,81,61,77,81,54,52,64,123,169,237,250,239,193,181,167,68,75,72,89,106,157,48,16,20,13,8,18,152,102,64,41,37,59,80,124,163,183,232,245,234,192,176,151,64,45,41,54,97,156,48,16,20,13,8,15,152,74,38,56,119,160,180,186,188,201,239,248,238,167,155,166,141,112,54,48,45,147,46,17,21,13,9,11,144,47,72,159,192,195,202,201,185,187,237,247,241,192,180,198,194,184,174,81,37,130,40,16,21,13,9,8,114,63,163,211,208,212,215,209,207,212,243,249,246,207,155,196,228,211,200,180,77,113,38,16,20,13,9,6,95,139,202,201,212,219,225,221,197,206,246,250,250,168,139,183,241,231,216,194,179,114,35,16,20,13,10,4,91,186,196,208,220,230,229,221,207,211,244,246,248,170,145,176,240,237,223,205,204,163,30,16,20,1
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75,98,64,69,45,35,39,20,16,51,95,128,167,167,168,177,160,100,62,22,9,14,27,29,37,62,89,81,123,119,101,91,91,46,44,91,51,79,115,138,168,156,151,163,145,113,93,50,58,64,56,52,87,115,139,128,111,113,83,84,133,113,53,65,122,120,138,149,174,165,156,172,153,138,128,147,134,82,78,98,124,143,144,129,64,74,78,116,157,152,95,99,142,187,163,162,189,176,169,192,167,169,193,168,112,119,128,152,130,136,126,93,54,67,83,128,144,136,151,153,183,138,149,171,185,184,180,196,182,174,166,181,158,139,174,188,131,113,106,84,31,56,80,125,136,129,169,146,145,91,111,159,171,188,192,202,166,140,96,150,180,189,187,184,159,120,95,61,18,32,81,133,130,148,161,104,87,64,72,137,171,199,200,214,155,80,72,113,139,178,191,174,161,116,73,34,16,19,70,142,142,174,126,71,59,51,61,113,164,208,217,201,112,64,53,62,81,138,204,171,162,99,50,19,11,20,52,147,177,144,123,91,47,35,47,78,153,206,214,194,118,49,42,59,108,141,153,193,165,87,32,14,9,20,54,154,192,115,75,75,65,67,80,70,144,206,226,200,123,45,59,68,69,82,131,209,170,84,26,13,10,20,69,173,163,142,91,46,34,30,65,83,167,210,223,209,155,53,65,48,65,105,141,188,192,97,26,11,7,17,85,186,151,71,82,75,59,57,92,91,155,216,233,218,168,86,102,56,57,85,114,153,215,119,27,9,9,14,103,196,159,104,62,56,54,54,114,124,171,212,229,226,194,128,119,67,78,91,101,123,218,141,32,9,10,16,109,199,123,88,55,48,65,81,133,132,173,222,242,238,190,149,112,77,46,38,77,166,193,161,36,9,11,19,126,191,103,107,85,58,44,74,130,135,191,224,236,237,200,182,142,100,76,88,118,102,184,164,39,11,9,23,136,179,100,41,60,80,79,115,130,123,202,233,245,242,190,175,152,85,73,62,77,109,170,174,40,11,7,25,152,116,97,88,82,87,111,139,135,136,212,228,241,241,207,193,186,131,120,84,53,70,175,175,37,11,10,27,161,129,94,80,57,75,87,113,124,140,212,236,248,248,199,182,189,152,70,65,94,110,120,177,35,11,11,30,156,137,47,57,109,120,82,102,114,151,205,219,242,244,203,196,204,190,107,75,62,77,140,175,33,12,10,32,156,73,87,82,69,55,67,86,79,123,215,229,246,247,192,187,191,179,125,114,63,42,135,170,32,12,8,34,140,71,105,45,33,48,97,105,108,130,203,214,233,240,190,195,198,179,119,66,78,100,67,176,31,10,9,46,146,73,47,45,47,109,124,115,115,132,218,226,237,244,190,184,188,187,125,57,66,87,67,166,28,12,9,54,143,50,64,161,198,213,206,194,172,168,212,231,243,234,172,164,153,144,89,92,78,40,94,157,24,14,8,53,115,116,194,213,231,232,231,235,221,214,242,234,241,247,210,188,156,126,66,57,67,39,85,154,20,15,7,57,136,207,227,226,236,242,239,240,237,224,245,248,248,243,206,215,229,218,177,136,97,70,70,154,19,15,8,53,185,217,224,232,243,238,235,235,236,237,242,237,236,241,217,229,235,242,234,199,172,163,71,149,17,16,9,50,188,205,220,239,234,234,231,232,235,232,248,241,244,246,233,235,238,241,245,235,213,200,124,144,14,19,9,42,186,202,226,228,229,231,235,230,221,218,234,240,241,230,223,235,241,237,236,245,234,215,201,138,12,18,2
42,56,67,68,65,63,64,75,88,107,125,143,152,151,142,113,90,67,68,84,91,66,62,59,53,40,18,1,46,67,88,86,86,80,105,131,141,149,152,157,175,163,164,130,124,132,117,117,96,93,87,79,68,50,33,5,70,83,86,90,104,99,97,124,137,172,185,185,182,173,173,162,158,148,117,101,107,125,101,94,85,59,38,15,72,77,80,87,97,124,119,121,154,180,151,166,191,186,187,156,122,139,165,124,138,133,103,95,84,67,40,16,54,40,50,67,87,136,145,144,174,172,141,164,186,191,188,154,99,107,144,159,138,126,108,81,79,69,38,18,42,40,51,63,92,128,141,197,136,106,99,132,190,193,193,134,83,63,96,143,144,120,95,83,64,66,39,18,44,37,45,59,93,123,142,168,133,96,108,135,185,195,194,147,100,83,81,90,122,119,94,77,51,50,43,19,39,30,42,56,95,128,172,122,88,71,93,140,190,197,202,151,105,79,77,94,131,146,87,66,64,38,43,19,29,19,41,59,93,134,164,121,82,82,105,141,186,202,203,167,133,78,58,89,123,143,86,73,50,29,46,27,6,6,39,63,93,139,153,148,111,97,107,142,197,209,209,181,150,101,73,96,96,117,93,72,38,26,48,47,7,3,38,62,93,172,137,102,119,115,131,159,205,220,208,182,158,119,57,69,85,130,109,70,39,24,42,50,12,3,35,62,94,164,136,112,110,124,157,183,215,222,218,189,166,147,105,72,74,109,115,75,40,19,28,56,14,4,33,62,98,158,147,118,102,124,145,178,219,231,227,194,172,155,123,99,96,98,102,83,40,17,27,55,16,5,30,62,109,152,117,133,141,153,172,194,221,230,226,214,193,182,156,122,66,88,134,78,40,17,23,39,17,6,27,63,104,162,148,150,156,154,167,186,223,238,235,215,201,183,165,146,93,118,136,72,39,15,22,32,17,7,23,62,104,173,153,144,156,161,175,189,217,239,233,218,210,198,181,150,112,143,137,66,39,12,22,29,17,7,20,62,123,132,161,176,173,172,183,201,221,239,237,222,211,206,194,177,151,133,127,82,41,20,23,33,17,8,17,60,121,155,159,173,172,181,193,206,227,244,239,221,214,210,196,179,151,127,124,97,53,24,13,33,18,9,14,58,124,149,154,176,192,206,215,221,231,242,238,231,223,218,206,192,141,111,124,101,44,33,4,31,17,9,11,56,116,150,179,192,200,208,217,223,241,248,246,229,219,214,201,184,142,131,128,102,47,22,15,31,18,10,9,54,121,159,184,191,202,214,225,232,241,248,246,234,229,223,210,189,150,135,143,103,51,15,20,16,18,10,7,52,130,147,176,199,216,223,230,237,246,249,249,240,230,227,223,207,177,141,130,114,54,15,6,9,18,11,6,51,123,150,187,206,212,219,229,235,247,252,250,238,233,226,219,207,191,166,126,120,53,15,2,11,19,11,5,50,114,170,190,199,212,225,238,242,247,250,249,242,240,234,224,207,187,170,141,112,55,15,3,13,18,11,4,50,121,170,183,201,221,231,235,241,250,251,251,242,236,233,231,213,189,165,149,111,57,14,4,9,18,11,4,50,129,154,185,210,220,226,234,239,248,251,250,239,236,230,225,216,197,167,135,117,57,14,5,9,18,12,3,50,126,151,192,207,216,226,237,242,247,250,249,241,238,230,224,210,198,176,132,113,57,14,5,9,18,12,3,49,117,159,191,202,216,232,237,240,249,251,251,242,237,236,225,209,192,178,138,104,58,14,5,10,2
5,9,13,17,16,11,14,42,127,171,206,230,242,224,208,172,144,145,155,200,92,94,89,102,104,55,43,52,9,14,23,34,35,26,24,27,73,194,205,213,221,186,163,180,185,180,153,126,131,113,123,137,118,92,54,57,15,94,40,49,51,51,67,100,126,165,165,170,184,177,187,209,196,178,178,148,167,128,128,144,127,101,91,61,28,121,89,81,78,87,91,105,150,171,198,196,214,203,202,205,189,156,198,187,187,152,127,118,99,106,84,79,79,168,78,96,104,103,125,137,146,192,177,185,216,214,211,211,128,80,110,167,202,167,136,114,95,71,76,86,82,92,96,96,122,108,128,170,185,182,132,149,184,203,219,199,111,90,109,127,173,174,137,112,88,69,36,62,36,34,44,73,116,124,140,177,191,145,125,129,162,179,199,208,92,65,74,89,133,194,134,104,69,53,28,32,28,28,37,56,82,112,151,176,166,111,111,111,139,177,212,203,114,91,95,86,118,174,150,103,64,34,22,25,14,15,21,40,68,104,152,193,129,100,96,128,153,175,202,219,162,82,69,81,109,146,172,110,50,22,14,21,6,4,11,22,55,97,145,177,142,95,87,118,140,181,216,218,189,137,93,73,75,101,170,124,52,7,6,13,3,0,0,10,41,92,146,173,99,83,108,133,145,167,210,225,195,169,77,65,86,124,155,136,58,5,1,6,1,0,0,4,27,87,151,157,117,93,76,111,127,179,226,227,191,179,105,76,77,101,108,153,63,5,0,1,1,0,0,0,17,82,145,155,101,59,57,99,134,183,225,229,211,192,161,93,88,92,85,141,69,5,0,1,0,0,0,0,10,76,156,119,103,95,113,150,152,209,224,235,207,190,165,100,51,43,79,143,74,6,0,0,0,0,0,0,8,69,152,126,77,59,78,140,147,208,229,232,214,212,191,161,89,68,75,116,82,8,0,0,1,0,0,0,6,63,147,98,69,61,88,157,153,205,223,236,216,192,177,166,114,58,74,91,98,11,0,1,0,0,0,0,5,57,131,97,87,55,67,130,142,195,231,237,217,203,207,195,159,91,44,66,112,14,0,0,1,0,0,0,5,55,134,69,52,57,86,120,145,196,218,237,225,185,209,184,156,100,54,72,106,21,0,1,0,0,0,0,4,56,110,63,63,54,57,82,118,184,224,240,225,186,218,207,164,112,40,63,90,37,0,0,1,0,0,0,4,61,91,78,38,35,53,78,114,169,213,232,233,186,206,207,161,125,63,42,66,51,1,1,0,0,0,0,4,62,72,49,54,53,53,62,109,162,228,238,238,188,194,206,147,92,51,43,41,67,3,0,1,0,0,0,3,64,50,44,52,43,39,74,177,207,235,234,241,212,210,196,142,85,31,29,45,70,5,1,0,0,0,0,3,58,47,37,30,35,85,167,221,218,240,241,248,230,212,197,187,170,116,71,39,72,7,0,1,0,0,0,3,54,50,31,53,130,168,206,221,225,242,247,248,230,214,220,209,203,181,152,73,80,11,1,0,0,0,0,3,61,38,91,146,181,195,215,231,238,247,249,251,239,236,238,227,221,198,184,137,96,14,0,1,0,0,0,3,63,70,141,176,197,217,237,244,242,250,252,251,242,243,247,238,206,175,178,158,108,17,1,3,3,4,1,3,57,121,161,185,211,232,240,246,245,249,251,251,250,247,232,191,185,165,162,164,116,49,0,20,22,23,31,21,55,125,163,194,222,235,244,247,250,253,253,253,246,234,199,177,178,165,159,166,125,76,1,2
10,20,31,82,99,84,73,60,55,128,162,215,232,244,241,239,239,215,186,155,104,54,52,61,86,104,74,64,7,21,35,85,112,85,97,99,69,101,154,186,219,231,223,225,216,192,175,140,81,55,69,91,84,70,38,26,5,50,125,98,96,94,111,138,136,125,136,172,186,213,198,194,200,170,151,113,71,96,84,116,93,59,29,12,3,56,137,64,90,109,109,130,149,177,185,171,185,194,169,175,172,151,148,127,120,123,101,92,112,67,31,10,3,37,72,68,84,119,122,134,133,139,173,168,156,177,162,179,169,170,185,175,155,128,107,99,80,61,31,8,3,13,34,53,65,139,147,140,146,179,156,163,182,181,154,175,166,171,170,144,143,119,113,107,84,53,29,6,1,11,27,43,80,149,161,154,163,132,93,120,159,202,180,201,177,154,161,169,136,139,135,100,61,47,22,4,1,10,25,35,85,152,164,186,125,81,66,115,172,194,184,196,160,101,86,164,160,148,160,109,58,37,16,3,0,10,23,32,94,144,182,150,90,68,59,75,133,199,191,198,147,68,71,99,161,160,173,108,46,28,14,1,1,10,22,36,112,156,164,116,99,91,75,107,142,189,197,186,112,57,58,89,161,177,159,113,39,24,12,1,1,11,23,55,118,170,154,118,74,57,78,77,134,195,202,202,136,62,84,87,101,173,152,117,39,22,11,1,1,11,26,75,142,148,100,118,101,76,91,121,164,191,205,200,161,54,63,82,115,151,168,115,51,21,11,1,1,12,37,87,155,158,101,63,47,56,78,103,164,203,205,212,192,78,100,82,86,127,167,115,65,21,11,1,1,12,44,101,156,116,116,91,75,68,120,128,159,214,217,200,193,127,92,63,90,86,141,141,67,27,10,1,1,12,42,121,138,111,90,58,43,57,123,122,190,214,220,213,200,189,120,77,69,113,145,146,74,31,10,1,1,11,45,114,150,72,66,72,69,121,132,138,199,226,226,212,184,191,110,70,104,109,118,150,89,28,9,1,0,10,47,123,116,124,73,47,54,127,135,188,216,221,229,219,202,208,138,91,64,75,99,151,79,27,7,0,1,8,44,131,93,69,64,54,66,117,119,180,222,235,236,216,193,200,174,83,78,97,130,157,74,27,5,1,0,7,42,133,58,59,74,62,85,133,133,188,225,232,233,222,207,214,201,136,76,112,151,142,69,23,2,0,1,7,42,122,86,48,33,43,64,112,128,171,227,238,241,217,197,206,194,160,112,128,126,145,74,17,1,1,0,7,44,118,67,38,41,69,79,105,127,184,224,232,238,218,194,205,202,152,93,106,110,138,71,12,0,0,0,7,49,101,44,53,57,78,92,107,140,192,241,241,246,212,203,213,201,169,114,82,101,139,64,10,0,0,1,7,61,91,48,78,140,155,165,183,200,224,240,237,244,207,210,208,182,129,118,104,82,123,67,9,0,1,0,7,70,111,68,148,164,194,210,216,209,232,247,243,248,220,219,215,204,170,125,86,68,101,64,7,0,0,1,7,71,118,132,176,205,216,225,223,218,231,246,245,248,239,227,223,221,223,202,153,70,116,62,7,0,1,0,7,70,130,170,205,214,225,232,235,239,243,249,247,250,247,236,234,230,227,227,200,138,147,64,7,0,0,1,6,73,152,190,211,224,235,244,244,238,247,253,253,252,247,244,246,239,231,223,220,186,158,63,7,11,16,1,5,69,172,202,218,233,243,244,247,246,249,252,252,251,249,247,247,247,241,229,216,200,164,57,6,62,49,2
56,56,67,44,41,36,42,52,62,37,59,94,114,151,151,170,206,223,194,224,237,240,232,219,229,205,72,34,60,53,70,67,62,65,53,51,87,93,99,130,139,168,153,147,183,194,181,173,216,230,233,224,157,60,24,14,45,51,65,91,71,93,114,96,93,166,159,119,143,162,167,160,177,183,164,173,178,183,191,197,111,38,17,6,29,31,59,81,94,102,149,140,150,179,143,126,165,191,181,180,182,150,141,140,156,159,147,131,110,58,21,16,21,30,44,68,92,120,157,150,153,118,102,102,149,185,193,191,203,166,139,118,125,198,184,159,82,37,36,24,16,25,42,66,90,133,146,170,102,67,62,62,134,195,203,201,213,166,127,102,88,147,166,102,69,54,44,38,4,20,35,63,96,129,167,127,74,60,60,82,114,174,214,196,213,170,91,55,74,105,154,150,138,110,86,69,9,13,28,54,100,136,168,94,69,37,41,74,132,185,206,211,203,151,78,47,49,70,139,162,145,129,94,87,10,7,20,51,95,161,166,57,45,56,76,98,127,165,195,219,194,141,83,46,63,69,111,187,152,129,95,104,12,6,17,48,96,187,130,90,51,34,44,83,139,177,197,230,178,147,128,75,61,71,127,168,161,130,93,90,13,8,15,49,123,163,113,72,52,50,65,106,121,196,215,226,197,145,136,106,76,80,97,155,184,118,89,73,14,9,16,53,151,143,66,82,70,59,84,126,155,207,232,232,186,151,158,125,60,73,100,164,192,114,89,70,14,9,18,61,171,116,69,42,46,70,101,113,156,226,220,222,214,186,170,126,68,70,94,147,195,119,84,58,14,9,20,85,157,101,50,55,73,96,114,130,171,212,242,233,205,192,178,132,61,77,106,125,192,120,72,49,14,8,23,115,132,72,98,66,54,76,78,100,175,228,226,219,223,195,192,174,104,61,80,101,200,116,60,41,14,7,27,138,109,73,63,65,76,98,92,124,179,229,232,234,207,186,186,168,135,94,74,117,173,120,51,29,14,8,34,137,106,61,72,70,73,73,60,81,192,233,225,222,216,213,225,195,158,108,101,116,150,133,42,18,14,9,45,148,77,126,77,66,84,96,67,98,183,242,231,236,212,186,200,200,194,156,99,102,126,140,34,12,12,10,64,129,82,75,78,94,98,93,82,128,199,234,233,229,206,200,211,196,183,163,131,69,143,132,29,6,12,12,96,110,59,87,125,126,115,99,80,117,200,240,223,234,212,182,208,218,205,160,132,101,130,124,25,6,10,14,115,79,119,138,128,138,162,157,144,159,198,243,235,230,181,171,184,191,188,177,116,105,98,124,22,12,9,17,130,83,159,140,152,186,201,169,154,171,229,238,230,228,192,166,186,170,135,136,105,47,116,114,19,86,7,21,137,151,156,177,210,229,201,187,179,188,229,239,243,231,178,154,151,150,103,63,55,50,116,104,34,154,7,29,155,180,172,222,235,231,216,212,215,214,239,221,233,218,186,165,163,161,112,35,35,83,96,98,128,110,8,43,175,178,206,235,231,228,228,226,205,209,245,234,240,232,194,195,193,192,163,114,43,54,104,90,55,9,10,58,176,192,232,225,228,236,231,216,207,214,233,231,238,219,188,199,222,227,208,156,117,36,122,78,10,8,12,76,169,214,219,222,231,234,223,217,215,230,234,216,220,230,197,215,208,230,234,181,158,118,118,71,10,8,15,93,165,212,213,226,233,223,219,217,216,225,242,233,239,241,216,202,193,207,245,218,183,185,127,67,9,10,2
28,57,77,80,60,51,81,75,98,126,135,143,127,145,167,157,152,160,152,132,102,80,63,80,101,68,61,24,16,39,97,99,81,77,68,134,197,189,171,201,155,164,201,167,147,141,184,109,92,102,99,105,127,76,28,14,13,25,87,88,78,119,87,100,164,125,145,180,183,195,193,183,154,116,182,144,112,137,108,104,119,44,25,13,6,21,37,71,81,148,128,167,181,87,126,198,177,178,206,187,83,56,140,188,153,167,115,97,63,32,21,7,2,13,31,61,104,150,196,133,143,72,78,176,208,216,218,169,65,72,105,137,216,176,134,93,53,27,13,2,0,8,24,56,112,147,197,122,113,74,92,164,189,216,221,193,77,86,105,134,193,201,142,90,50,23,7,0,0,4,19,53,101,167,198,92,61,57,71,153,192,195,236,171,60,56,89,101,125,206,179,93,53,19,3,0,0,2,14,58,113,196,105,80,79,84,93,133,199,207,234,176,115,76,110,96,83,119,196,103,63,15,0,0,0,1,11,64,148,158,100,97,121,113,134,178,194,211,233,214,165,111,98,71,101,136,196,138,64,12,0,0,0,0,15,74,176,145,75,43,72,89,122,165,217,225,241,203,169,131,89,91,94,81,109,188,72,13,0,0,0,50,21,93,168,78,80,101,98,125,150,158,206,222,234,215,213,208,122,93,115,89,107,156,80,16,0,0,0,63,26,123,124,102,96,53,60,93,159,184,209,208,236,223,203,196,144,59,62,78,130,177,93,18,0,0,0,0,29,127,144,56,34,51,64,93,151,168,230,236,244,203,200,204,196,135,62,89,86,118,145,19,0,0,0,0,31,154,79,54,57,89,136,132,176,172,218,231,240,231,209,210,188,154,135,117,130,70,159,21,0,0,0,0,32,153,65,88,56,25,75,120,149,198,232,224,247,229,203,200,181,157,119,71,65,117,154,23,0,0,0,0,36,167,81,32,39,54,87,103,117,189,234,232,246,222,212,218,217,206,159,137,55,78,161,34,0,0,0,0,39,170,46,54,92,78,92,84,133,182,218,230,236,234,216,214,204,183,155,151,120,95,95,67,1,0,0,1,64,116,83,83,39,22,59,59,106,177,242,240,250,229,197,206,193,196,154,116,95,78,71,91,2,0,0,2,84,102,64,39,21,34,70,68,94,142,223,243,244,226,209,232,221,232,196,175,132,56,71,107,3,0,0,3,100,95,17,52,56,65,70,77,94,142,194,223,231,230,213,207,193,200,178,164,144,108,61,121,4,0,0,3,116,62,33,36,31,34,30,41,53,130,221,226,241,230,191,194,190,181,156,135,113,110,86,97,9,0,0,5,117,56,46,19,15,16,31,27,40,99,192,233,231,230,191,204,196,187,161,133,103,68,61,84,14,0,0,8,108,44,31,20,17,23,37,59,82,133,199,232,228,242,202,209,196,191,163,142,112,67,22,101,16,0,0,13,114,14,18,29,58,86,96,115,133,167,242,239,249,240,175,182,160,143,135,141,120,64,13,101,25,0,0,18,91,11,48,118,148,143,150,161,159,182,236,242,247,234,174,167,158,185,191,173,168,108,15,68,29,0,0,21,62,74,110,134,151,167,186,202,208,218,237,237,244,246,208,207,230,220,201,179,167,121,57,54,23,0,0,23,58,139,121,144,170,200,223,221,209,215,251,247,251,245,195,222,237,239,223,191,172,147,105,76,25,0,0,21,83,125,133,160,194,218,212,218,218,209,243,249,249,236,215,240,235,233,231,212,178,157,126,109,33,0,2
23,83,118,116,66,68,58,44,56,71,104,159,162,123,157,110,97,79,61,38,57,78,81,101,107,93,37,48,46,113,130,119,73,79,87,97,120,120,123,145,150,123,157,132,126,129,148,113,107,98,82,111,119,101,45,47,66,130,120,114,98,116,143,162,205,197,183,189,180,149,181,168,181,187,194,185,151,130,106,117,134,110,39,7,31,90,108,118,104,134,162,183,146,174,190,184,185,148,186,188,192,182,176,184,161,146,127,131,110,96,35,5,19,63,94,107,116,134,135,149,192,152,164,194,203,184,200,184,144,118,157,168,165,148,143,121,103,73,27,4,12,53,77,136,134,136,150,154,114,89,109,158,193,179,198,179,81,55,66,110,181,174,161,142,81,51,18,3,9,42,78,126,145,158,177,107,60,41,54,95,168,183,201,115,54,56,69,80,114,177,187,129,80,36,14,2,7,30,72,129,155,155,95,68,59,52,69,84,151,165,195,129,50,44,42,49,81,150,207,141,75,24,12,1,7,22,69,124,166,165,92,51,34,25,40,65,145,176,197,122,50,45,53,53,90,147,184,145,79,19,11,1,6,19,68,117,176,127,77,57,52,67,74,100,153,178,198,173,136,62,86,74,91,136,162,166,90,18,10,0,6,19,73,115,155,140,112,76,46,36,55,89,156,197,201,179,156,112,56,53,61,73,107,177,103,20,9,1,5,22,73,135,146,82,54,43,40,61,70,96,163,203,207,190,179,158,63,67,77,99,138,159,109,29,8,0,5,25,70,139,135,90,73,43,31,40,77,111,172,210,214,203,163,154,88,44,55,76,114,156,119,39,8,0,4,28,68,137,140,93,48,30,37,80,65,123,169,210,216,206,193,176,151,88,71,79,70,120,134,48,7,0,4,28,71,148,70,76,68,62,57,92,88,151,185,215,220,215,193,167,148,121,79,78,96,142,138,52,8,1,4,28,78,146,95,68,55,35,42,53,104,130,186,218,222,213,199,192,186,153,96,39,54,119,148,60,9,0,5,32,86,142,74,29,35,48,62,71,118,157,199,221,225,221,198,197,185,183,144,85,82,75,137,73,11,1,4,29,93,89,72,73,55,49,35,39,95,145,196,226,230,221,191,188,173,173,140,69,71,88,132,79,12,1,3,29,94,91,64,42,32,27,30,44,119,140,188,220,230,226,205,197,189,188,164,98,34,37,132,84,13,0,1,25,103,78,23,43,66,62,46,46,72,133,187,227,235,227,182,170,161,163,140,88,47,53,82,98,11,0,1,22,101,51,101,137,137,127,114,75,61,124,185,226,235,228,190,173,156,135,102,39,22,52,63,101,11,0,0,26,80,116,152,155,168,182,182,172,152,152,202,226,234,235,192,171,186,206,208,147,103,62,39,103,13,0,1,28,110,126,165,190,205,208,205,201,186,191,215,236,239,238,194,204,224,222,218,193,184,151,74,92,15,0,0,27,122,139,188,207,213,217,223,226,227,225,227,238,243,243,230,239,238,231,222,200,186,183,153,89,26,0,0,33,113,165,193,207,219,229,234,232,231,230,237,247,250,247,238,242,243,243,235,220,205,189,180,123,29,0,0,38,118,172,189,214,229,236,237,238,239,237,240,251,252,247,245,247,244,244,238,232,216,201,175,139,34,0,1,38,130,166,198,222,233,237,242,244,249,249,249,252,252,251,250,252,249,246,239,231,226,208,177,132,43,0,17,58,124,165,209,227,235,241,246,251,250,248,252,254,254,251,247,248,250,250,242,234,224,217,181,126,50,0,2
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65,92,69,68,55,43,33,96,91,52,84,114,116,127,117,111,102,50,31,25,23,20,18,19,22,20,12,4,96,105,110,87,77,118,65,53,123,135,154,144,137,138,114,118,104,74,51,32,29,35,37,27,27,27,24,19,104,111,118,98,89,149,120,78,125,201,171,137,135,155,142,138,123,92,101,98,79,74,36,23,25,24,26,25,110,101,105,95,119,160,159,144,176,171,164,188,165,167,137,145,130,136,133,159,140,62,30,30,58,37,63,38,65,72,80,108,134,152,157,180,153,130,135,202,160,182,162,168,165,137,112,118,138,99,75,88,92,46,42,45,67,73,85,112,151,164,177,144,116,107,109,166,174,203,200,195,177,157,110,104,117,132,112,90,99,59,40,45,66,78,94,123,155,160,180,99,57,62,77,140,179,219,203,215,179,132,58,72,84,105,136,94,97,76,47,34,43,63,80,113,156,185,129,102,65,50,75,157,181,212,211,222,170,112,85,72,56,64,150,114,115,90,47,34,23,45,86,116,176,170,137,102,46,31,79,158,186,221,218,205,165,84,60,50,56,89,115,149,123,88,44,33,16,32,88,132,210,158,95,82,79,62,141,183,205,223,208,211,141,82,78,53,60,60,102,166,134,86,43,32,7,26,139,172,210,130,99,127,121,79,134,186,212,219,205,207,182,125,78,69,102,75,67,168,156,85,52,28,10,13,136,178,173,150,96,81,106,130,180,195,178,225,226,218,178,131,90,98,65,69,102,157,174,98,51,21,14,9,91,189,165,119,80,86,100,152,209,221,190,226,230,220,185,162,144,105,62,53,98,159,184,108,47,15,15,8,86,199,149,100,103,93,84,117,167,175,187,234,230,229,198,147,107,58,58,97,102,122,193,113,41,10,15,8,92,201,147,132,72,57,77,126,162,178,186,237,238,230,189,157,116,56,47,61,99,126,190,119,35,6,15,9,105,181,169,88,64,75,88,147,176,193,202,236,234,230,207,179,164,93,70,59,62,138,179,132,27,6,15,10,111,183,122,108,81,53,58,132,164,179,198,244,242,236,194,169,152,102,56,77,91,123,174,139,22,7,14,11,120,165,120,112,56,44,97,137,186,194,199,242,240,235,204,193,172,140,44,45,100,137,141,147,21,7,14,12,133,166,107,62,81,86,70,100,183,189,213,243,237,241,216,190,183,167,93,76,74,106,146,154,20,7,13,13,147,161,74,83,74,53,44,79,174,183,209,246,246,243,197,184,177,142,94,86,86,66,154,152,20,7,13,14,158,119,121,65,43,66,79,94,156,206,216,242,239,239,210,200,202,162,82,56,64,98,125,156,20,8,13,15,167,103,105,100,149,182,175,149,149,193,225,248,245,246,203,174,171,148,83,62,39,94,110,160,20,8,13,17,164,116,125,195,213,204,200,193,187,201,218,245,244,243,187,173,159,135,47,61,75,65,114,153,19,9,12,20,167,145,189,224,217,220,225,233,223,210,229,239,239,241,205,192,203,185,103,77,77,61,91,157,18,9,12,23,183,198,222,215,221,236,243,235,228,209,233,246,244,246,200,197,213,209,185,167,118,74,86,153,17,10,12,28,190,227,220,220,232,240,235,236,234,225,231,243,243,243,205,215,225,209,206,200,170,144,96,143,17,10,12,38,199,219,231,230,237,232,233,237,241,239,237,236,234,242,232,239,229,221,210,216,210,188,129,145,18,10,11,51,209,203,230,241,229,231,237,243,237,233,240,243,241,247,233,238,242,234,219,216,237,207,166,159,18,10,2
6,19,42,99,146,118,110,106,85,101,151,186,226,233,216,233,245,211,162,93,58,81,98,130,146,124,86,64,3,16,42,88,129,111,114,131,146,134,145,170,198,206,201,217,206,173,139,105,87,107,120,136,149,116,62,65,2,99,60,68,117,114,127,131,151,217,186,174,195,189,171,190,196,177,183,188,152,128,132,136,150,104,76,47,0,129,63,57,88,103,149,139,143,175,219,207,199,191,182,197,201,212,209,190,153,131,141,138,130,83,44,10,1,83,68,42,78,123,169,159,156,189,188,177,188,200,194,210,216,206,193,175,152,145,145,132,117,73,32,7,0,7,18,34,75,136,168,177,190,188,136,166,193,210,203,221,208,158,172,199,167,171,167,123,95,60,21,4,1,6,15,28,69,127,156,188,149,135,119,136,186,213,210,227,190,119,121,166,189,183,172,141,87,45,16,3,0,5,14,29,75,123,163,162,119,91,91,121,190,218,212,227,180,106,106,97,141,188,158,132,79,37,13,1,1,5,13,28,87,125,162,130,93,92,93,97,161,211,217,222,154,77,87,102,138,176,155,123,72,33,11,1,1,4,13,34,96,148,94,100,109,96,98,110,172,214,220,227,182,96,113,97,96,132,149,115,68,29,9,1,0,4,15,52,103,146,100,67,57,67,108,117,148,214,223,225,180,73,75,78,85,81,157,115,67,26,6,0,1,4,20,66,117,141,70,61,68,66,94,123,162,219,220,227,203,117,101,68,58,100,150,125,70,27,5,1,0,4,30,74,133,81,100,62,44,54,97,109,155,224,230,224,199,154,92,95,88,94,150,122,74,29,3,0,1,4,35,89,132,80,55,67,68,83,125,146,178,222,232,222,202,177,100,73,81,85,81,140,78,30,2,1,0,6,37,91,123,60,60,52,43,70,116,122,187,226,228,230,196,181,131,83,53,56,79,135,79,31,1,0,1,7,41,109,80,87,37,42,70,112,135,154,194,230,236,225,194,185,136,52,60,46,70,140,80,30,1,1,0,7,40,111,71,49,70,54,61,93,127,151,203,228,236,232,205,193,180,99,46,62,67,121,78,29,1,0,1,6,38,113,62,50,44,45,57,86,124,161,201,233,242,224,190,187,176,135,61,45,78,87,88,26,0,1,0,6,42,101,67,25,39,61,78,114,118,170,205,224,237,231,204,200,191,155,82,73,40,94,85,22,0,0,1,6,48,100,33,59,49,39,50,71,82,135,205,233,244,225,188,201,198,173,103,38,55,92,81,19,0,1,1,6,60,90,45,46,29,31,49,67,97,152,202,226,239,221,192,194,181,159,126,43,48,80,87,15,0,1,0,7,72,86,30,34,58,81,83,83,93,147,221,235,244,226,194,198,177,154,109,62,52,57,89,13,0,0,1,9,88,50,88,129,153,165,168,164,155,174,219,237,244,210,181,170,162,160,118,36,38,62,89,11,0,1,0,10,92,87,159,165,177,193,205,213,211,218,243,239,245,215,184,163,149,139,113,35,24,71,86,10,0,0,1,14,107,149,164,182,203,225,234,234,231,227,248,249,251,222,190,195,187,172,104,47,46,42,90,9,0,1,0,19,127,157,175,201,229,236,240,243,244,241,248,249,251,229,218,222,220,213,145,110,71,35,88,9,0,0,3,26,129,158,187,216,226,238,243,248,250,249,253,252,253,244,241,237,227,216,189,133,110,62,84,9,0,1,20,44,133,169,202,212,229,241,248,249,249,248,253,253,253,244,244,240,228,217,190,141,115,105,85,9,0,0,2
114,124,129,66,67,73,78,81,170,186,170,162,181,172,189,191,179,164,157,110,95,101,80,113,122,122,126,115,104,134,141,111,88,89,126,178,210,202,195,189,191,166,174,211,155,59,120,168,110,114,112,139,90,79,84,77,39,143,138,143,112,91,121,140,172,177,145,152,198,194,204,203,118,74,106,151,157,133,147,162,79,79,89,70,30,126,130,139,123,102,132,131,189,106,135,153,200,201,206,207,138,95,113,110,160,157,171,158,98,74,55,33,27,147,105,108,157,135,145,171,151,123,115,136,190,205,215,206,101,60,58,105,123,180,165,156,109,67,39,21,20,57,100,115,183,159,162,158,125,81,85,116,176,207,220,204,136,95,62,54,110,177,150,147,115,59,25,15,16,27,75,121,166,177,186,110,60,75,106,124,189,213,210,214,151,84,86,69,74,170,153,137,119,49,18,11,11,20,61,126,160,177,181,78,78,73,66,85,172,217,214,215,152,92,88,75,114,119,159,129,120,39,15,6,9,16,47,128,150,181,164,126,84,58,106,111,181,225,214,219,187,153,125,64,90,96,125,133,118,37,13,5,6,14,39,124,150,164,142,93,66,74,104,113,183,231,216,225,203,175,124,85,56,79,104,152,108,36,11,3,6,13,38,119,167,140,86,70,73,61,68,100,169,232,224,227,184,171,98,48,68,50,114,152,97,33,10,3,4,12,40,114,173,112,71,66,31,55,120,124,185,226,217,227,202,189,150,55,46,74,98,148,93,33,9,2,4,11,45,117,159,118,97,50,56,86,123,113,192,235,224,233,208,182,184,121,68,64,103,109,106,34,9,2,3,11,51,135,115,110,78,77,60,66,88,82,180,234,230,232,195,171,170,134,76,56,57,78,127,40,9,1,3,11,58,147,108,53,77,60,41,76,96,108,188,231,226,230,208,195,179,146,68,53,35,76,137,49,9,1,2,14,67,151,86,76,48,36,60,90,102,112,195,238,231,239,210,195,194,182,104,35,50,62,132,48,10,0,3,20,77,143,112,48,41,56,60,45,73,81,181,237,237,239,196,181,177,176,157,55,40,83,112,52,12,1,1,22,89,131,83,61,72,43,40,48,68,106,172,227,230,236,207,193,182,167,147,115,49,71,74,66,13,0,1,24,85,126,54,82,53,41,60,67,72,99,182,237,238,244,212,192,201,181,147,116,59,32,69,74,14,1,0,26,92,124,61,32,40,60,50,37,48,72,177,234,242,243,193,172,170,172,163,118,39,37,60,81,14,0,2,23,97,132,35,48,97,113,109,116,127,142,172,224,229,238,196,183,163,152,133,125,45,27,59,91,14,1,1,22,111,81,84,131,143,158,173,184,178,176,199,238,239,246,199,183,181,154,121,86,47,24,65,92,15,0,1,20,121,64,154,160,176,202,206,202,192,188,213,242,247,246,186,166,186,202,181,128,46,41,44,97,17,1,1,20,119,124,148,194,209,211,217,224,228,225,225,242,244,244,204,207,210,207,204,186,115,85,37,95,21,0,1,24,135,149,175,200,208,220,231,243,244,243,244,251,250,250,227,222,217,213,204,195,163,113,64,92,30,1,1,27,130,161,186,194,213,232,241,241,244,244,249,252,252,252,234,213,227,227,203,185,169,148,100,110,33,1,5,32,123,165,184,196,226,236,238,243,246,247,249,251,250,249,236,227,229,227,195,114,87,89,105,106,39,2,22,50,142,157,184,212,225,231,240,246,250,251,252,252,251,252,246,241,231,207,184,130,64,57,88,68,47,1,2
9,23,53,72,109,96,108,133,147,185,201,194,192,203,189,183,172,144,151,172,175,159,134,117,82,96,142,113,7,20,49,57,92,110,123,131,133,171,167,163,173,176,154,164,180,177,169,170,150,119,123,117,101,105,122,99,6,94,83,53,111,145,144,138,162,167,118,132,159,185,167,183,182,163,110,121,170,139,129,131,123,106,100,74,4,121,89,47,102,158,147,163,147,146,132,134,165,186,174,186,184,162,112,125,134,166,144,149,158,81,53,37,5,78,87,42,94,149,158,168,134,110,75,106,149,193,192,202,186,130,77,102,125,147,165,162,155,85,41,26,5,14,23,42,89,134,176,164,96,76,80,95,148,187,194,199,180,110,74,75,94,142,181,160,140,77,31,20,6,14,22,53,88,154,165,143,122,106,83,84,133,183,202,208,173,98,79,100,107,136,181,165,121,69,26,19,5,15,27,57,99,171,136,122,91,84,91,90,128,178,207,210,179,100,84,90,119,143,140,173,119,69,25,16,6,15,32,64,130,170,113,85,84,98,104,103,147,194,210,214,203,131,96,112,99,96,123,170,133,73,29,16,6,16,34,87,156,126,123,114,85,76,109,109,158,207,216,218,206,158,71,99,91,114,114,148,158,85,34,16,5,17,45,116,148,108,94,81,85,116,135,148,187,214,211,217,212,191,113,107,102,102,129,119,153,107,40,15,5,17,55,131,141,63,69,93,112,130,120,154,182,222,222,224,214,188,138,115,116,109,83,97,157,125,51,16,3,17,65,143,101,89,61,53,57,82,125,174,193,222,224,222,213,193,165,122,101,64,76,99,141,136,67,15,3,16,75,131,95,65,48,49,53,87,144,185,206,231,228,232,221,199,189,148,139,84,63,85,112,148,64,16,2,13,71,139,53,50,73,56,41,90,150,190,208,231,233,232,225,205,195,170,132,99,83,60,84,154,66,16,2,13,72,121,74,49,37,44,59,128,178,202,213,230,228,230,228,212,206,182,146,80,37,50,89,152,63,14,2,12,80,106,60,36,42,62,91,148,165,194,214,239,234,239,232,207,203,188,141,103,48,41,84,141,62,12,2,13,96,76,52,73,54,51,58,126,139,185,210,233,235,233,230,205,201,187,127,65,52,74,70,127,62,11,2,13,105,71,50,48,42,44,78,138,148,186,213,238,237,238,232,207,196,192,132,96,59,38,49,124,60,10,1,14,107,76,28,31,41,71,106,128,126,171,207,237,241,241,230,190,181,169,98,104,74,43,37,129,55,9,2,15,111,57,34,48,52,56,80,101,134,179,210,228,234,230,218,187,178,142,66,57,52,43,60,110,56,8,3,18,107,48,68,46,31,66,132,142,177,199,223,240,240,241,215,170,161,126,71,39,50,41,64,104,53,7,5,27,103,50,49,39,96,159,183,188,198,209,222,243,244,247,235,183,150,99,54,46,56,58,33,111,47,7,6,37,104,44,42,129,182,202,210,213,210,219,232,244,240,245,240,214,206,168,109,61,52,55,33,97,46,7,7,46,93,49,140,186,204,214,224,232,232,225,238,251,248,250,247,225,215,212,184,139,81,44,53,86,47,7,6,59,73,133,186,204,217,228,236,243,238,229,238,251,251,251,245,225,223,220,212,186,155,94,64,87,45,6,9,65,107,181,200,216,229,241,246,244,242,240,246,251,249,249,250,236,233,232,226,209,190,162,98,102,43,7,27,80,155,186,206,225,241,247,248,248,248,250,251,254,252,252,253,248,246,242,235,222,204,189,152,127,39,6,2
8,26,51,90,104,101,85,113,127,84,118,145,174,160,180,151,117,92,159,94,89,97,106,81,36,57,49,45,5,23,46,83,106,103,110,89,173,170,156,171,166,135,171,176,152,168,133,93,117,92,101,68,32,41,30,27,3,51,72,67,87,102,134,105,116,200,164,139,181,163,192,154,163,198,113,106,144,95,84,48,26,13,0,1,1,70,85,46,79,125,157,124,154,190,180,156,170,167,186,177,192,193,160,131,164,127,82,39,22,10,0,0,1,75,83,42,102,146,174,155,177,120,109,138,178,166,199,162,128,103,178,169,177,141,98,34,19,8,0,1,0,31,40,35,106,148,175,160,145,129,113,145,176,183,202,152,121,113,149,165,178,145,94,34,18,5,0,0,1,8,18,35,110,146,183,158,105,87,73,138,194,187,213,162,89,82,112,163,191,148,101,36,17,4,0,1,0,7,18,36,113,142,193,123,72,79,80,102,192,210,208,131,72,74,84,107,184,156,108,38,15,3,0,0,1,6,18,35,114,163,136,125,116,95,105,130,185,202,210,156,82,106,104,116,122,167,115,39,15,2,0,1,0,5,17,39,121,153,121,130,78,52,67,106,190,198,220,188,72,63,72,113,129,146,140,45,14,1,0,0,1,4,15,50,134,164,92,59,65,77,88,110,192,210,213,179,118,81,74,58,76,153,162,55,14,1,0,1,0,4,15,65,148,146,67,78,91,82,98,141,187,217,218,209,175,109,92,90,73,115,174,78,15,1,0,0,1,3,14,70,161,107,128,68,37,49,69,116,202,223,221,196,173,108,56,59,114,123,143,104,19,0,0,1,0,3,15,90,151,119,84,52,46,60,83,117,210,226,222,193,183,167,66,70,72,125,147,132,25,0,0,0,1,2,21,109,171,68,55,80,85,90,130,149,214,226,230,215,191,186,95,103,89,65,157,140,33,0,0,1,0,2,28,123,156,66,79,53,43,56,103,144,227,233,231,201,177,173,128,52,81,94,127,152,38,0,0,0,1,2,31,143,110,119,40,33,39,64,70,169,232,237,231,207,199,179,160,77,41,97,124,146,44,0,0,1,0,1,36,149,106,61,43,45,83,100,112,186,231,236,236,223,217,205,188,147,61,57,110,151,46,0,0,0,1,0,39,159,77,37,79,87,71,69,99,172,237,242,241,214,204,202,176,158,103,78,57,162,44,0,0,1,0,0,36,158,61,58,45,51,41,45,92,156,234,243,238,214,214,205,190,154,79,65,68,150,36,0,0,0,1,0,29,137,119,38,22,32,59,92,98,183,231,240,242,223,216,218,214,190,88,30,93,133,41,0,0,1,0,0,29,129,89,35,34,44,56,59,49,176,240,245,244,205,197,186,169,163,114,51,63,127,47,0,0,0,1,0,30,145,31,63,84,95,94,95,96,156,240,246,244,200,190,181,155,131,68,67,55,116,48,0,0,1,0,0,31,130,35,106,163,172,173,185,197,203,235,241,246,216,207,208,210,206,149,84,59,100,52,0,0,0,1,0,45,115,99,140,172,205,223,223,215,225,246,247,250,216,215,229,233,225,167,130,75,109,54,0,0,1,0,0,52,115,158,156,201,229,228,223,222,232,250,252,251,227,234,234,217,220,206,170,121,140,58,0,0,0,1,0,57,130,177,202,228,229,235,239,239,241,251,252,251,242,247,242,229,226,197,203,169,145,67,0,22,29,0,0,65,148,188,232,226,236,243,248,250,249,253,252,253,248,249,249,243,238,212,197,209,146,76,0,48,44,2
15,25,62,74,61,40,34,23,17,45,103,133,144,150,123,134,135,105,67,31,8,5,19,41,51,49,96,94,13,25,58,84,70,58,69,63,47,52,78,99,127,159,135,149,157,113,79,43,29,21,33,56,63,81,76,76,13,128,64,81,101,76,92,122,141,116,129,131,137,148,125,143,148,111,92,74,52,50,60,62,82,99,96,55,10,151,43,65,98,90,98,99,120,159,171,139,139,162,149,164,162,147,152,154,158,130,96,67,89,105,76,27,6,47,53,43,91,130,108,102,134,154,96,130,164,157,149,165,164,159,158,166,134,117,105,86,112,106,57,26,5,15,29,55,107,151,124,144,121,117,93,116,145,183,179,191,159,117,78,127,165,125,121,119,107,84,41,23,2,13,25,53,111,146,160,136,102,89,73,100,166,181,192,196,170,123,97,121,140,158,146,154,107,55,30,17,2,12,22,58,110,143,167,117,72,66,63,104,145,197,196,204,162,73,60,95,129,139,182,164,112,52,25,12,2,11,20,63,107,159,120,122,103,76,64,123,166,194,206,203,168,82,81,81,95,154,196,154,114,44,20,9,1,10,20,76,130,154,95,62,67,86,94,124,169,204,204,210,185,93,64,98,136,156,153,169,114,40,19,7,1,9,24,93,138,97,105,91,67,72,104,156,183,207,214,210,183,140,96,124,107,110,131,183,122,44,18,5,1,9,32,107,119,89,79,55,54,82,81,143,196,212,208,214,200,159,95,83,89,119,126,164,146,56,17,4,1,10,42,115,111,41,41,62,83,116,137,166,198,218,218,211,193,182,138,98,80,96,125,125,163,70,16,4,2,12,54,115,76,74,59,44,53,98,131,167,206,216,217,214,204,193,170,104,117,102,80,109,163,78,17,4,1,16,63,93,89,71,42,43,76,120,144,173,208,223,225,219,196,192,192,143,75,67,107,123,148,88,21,2,1,18,63,112,40,56,77,85,111,134,152,191,214,221,223,220,209,207,199,184,115,77,73,114,132,99,25,2,0,18,72,95,49,52,64,64,75,122,142,184,221,229,232,223,197,193,194,174,148,97,92,54,131,92,28,1,1,17,78,95,43,30,49,66,93,127,174,191,219,229,230,223,201,201,207,194,161,78,54,79,119,92,27,1,1,17,94,57,37,45,55,51,66,110,130,181,223,233,236,227,202,203,195,189,170,115,47,51,125,87,23,1,0,17,100,39,51,46,53,71,109,112,128,175,223,236,239,224,192,197,186,169,149,122,71,62,81,91,19,0,1,18,93,57,48,117,137,171,182,169,165,197,225,229,235,227,199,196,195,177,145,105,50,55,66,95,16,1,0,24,90,77,121,161,186,201,197,182,181,200,239,239,243,225,193,195,198,195,191,169,77,34,83,89,14,0,1,29,91,123,170,180,190,206,214,219,224,219,240,240,243,231,218,229,224,212,195,172,143,100,61,88,12,1,1,38,109,150,182,187,200,217,229,233,237,232,248,247,249,241,235,239,235,228,208,165,152,161,74,95,11,1,1,44,119,150,176,193,214,228,231,234,240,238,251,250,251,243,239,238,233,227,222,190,175,160,119,94,10,0,1,48,127,143,172,204,220,226,234,239,245,243,249,248,248,246,245,242,237,228,220,214,190,155,144,97,10,1,4,49,122,153,184,212,219,229,238,246,248,249,253,251,252,252,248,248,243,229,220,207,197,158,141,100,11,0,19,61,120,167,199,211,222,234,245,245,245,246,254,253,253,251,246,245,242,233,220,207,196,173,141,102,9,0,2
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9,38,69,125,144,113,109,129,137,141,142,165,212,233,223,224,198,156,150,153,137,125,108,102,141,139,104,82,6,42,71,119,136,116,139,173,188,211,212,190,185,193,166,184,194,190,210,204,198,173,146,107,134,134,92,70,4,140,88,104,130,111,136,163,166,185,189,184,188,201,182,197,197,188,185,191,168,165,137,108,123,120,92,59,2,132,77,79,119,137,160,162,171,198,127,143,180,208,186,208,192,156,134,192,188,164,161,135,121,88,66,30,0,17,42,75,130,171,164,168,182,153,124,153,174,211,204,219,189,141,122,142,192,178,169,168,148,85,54,19,1,10,24,61,120,166,167,185,145,107,76,108,167,212,206,223,187,120,94,108,141,186,175,177,129,78,38,16,1,9,22,52,111,141,176,186,120,97,97,120,177,209,212,224,195,128,102,100,123,176,193,155,119,70,32,14,0,9,24,60,102,135,175,144,138,113,90,96,162,216,220,231,200,134,104,127,144,157,186,148,108,72,32,14,1,10,26,76,99,164,137,119,86,82,95,109,165,216,224,232,201,129,108,104,100,132,135,174,110,87,32,14,1,10,31,84,108,171,132,105,101,76,70,97,167,222,230,235,201,120,96,93,97,100,129,180,124,91,39,14,0,10,42,83,142,116,103,99,78,76,107,127,176,217,232,232,201,146,101,82,77,114,122,128,153,92,48,13,1,9,44,95,154,118,63,63,82,77,76,112,178,229,238,236,209,165,110,96,84,65,82,111,163,100,51,13,1,7,39,97,142,97,83,55,41,54,104,118,178,227,238,237,199,165,130,80,64,72,69,100,159,105,47,12,0,4,36,103,114,76,57,65,70,86,127,135,189,230,237,242,215,173,166,108,90,66,86,92,103,109,41,9,1,3,30,100,123,55,61,59,55,82,129,139,186,226,238,242,211,170,161,81,76,80,51,50,105,112,37,7,2,3,29,108,102,76,37,44,61,103,113,160,202,231,235,244,217,193,181,111,46,40,49,60,93,113,30,7,0,3,29,117,60,53,70,56,47,66,90,149,205,233,239,246,210,185,184,148,76,57,42,63,86,111,27,6,1,3,30,119,63,43,36,38,58,98,101,147,195,228,235,245,213,197,188,148,73,57,66,42,48,118,27,6,1,2,38,107,61,27,36,56,62,63,64,106,195,229,240,248,209,196,195,167,86,38,29,40,60,115,26,5,0,2,46,87,35,60,56,50,47,59,72,103,190,223,240,246,208,193,179,140,76,56,35,27,64,107,25,5,1,3,55,71,43,50,42,44,51,79,84,118,211,239,244,247,201,191,178,121,47,44,62,48,28,108,23,5,1,3,60,75,35,24,38,87,114,137,173,196,228,237,243,241,179,152,132,99,51,31,37,43,33,99,21,4,0,3,62,60,29,55,124,157,181,198,209,215,239,242,248,249,214,185,161,125,97,54,24,23,57,94,21,4,1,3,64,43,71,135,161,191,210,224,219,218,246,247,251,252,225,219,219,198,169,138,91,31,48,93,19,5,0,3,64,53,135,156,183,212,228,233,235,236,246,248,250,249,219,202,200,214,193,168,155,104,33,91,17,5,0,3,62,109,142,173,205,220,228,236,242,248,253,251,252,253,228,195,198,197,210,186,151,149,77,83,14,5,2,4,57,127,150,183,206,216,230,240,245,245,250,251,251,250,229,225,218,209,200,195,153,139,140,82,11,5,19,22,63,126,156,186,199,213,228,237,243,244,251,252,252,248,222,220,220,211,205,183,165,157,137,77,9,5,2
16,27,74,89,50,53,47,47,43,52,80,107,127,81,135,112,102,91,111,123,126,127,69,106,122,83,66,60,15,28,81,81,50,92,125,128,133,125,86,119,152,110,150,94,65,149,177,169,153,113,56,82,118,68,46,21,13,61,96,56,33,71,132,141,147,157,125,124,154,126,151,131,143,161,152,104,126,116,66,54,82,39,24,4,10,78,99,39,45,68,96,89,144,134,127,145,163,126,166,139,101,106,146,140,131,137,97,94,76,37,19,1,7,87,106,77,75,101,98,122,150,61,97,107,164,154,171,110,84,51,115,169,141,139,103,137,72,39,13,1,5,43,61,124,87,103,111,161,133,82,109,124,165,168,185,148,101,72,107,130,171,135,137,148,67,31,11,0,5,21,34,117,107,84,142,144,129,100,77,131,179,177,194,165,71,70,107,111,158,152,146,131,68,26,9,1,3,18,34,102,103,97,160,113,112,45,56,93,172,190,195,153,64,54,61,120,145,176,139,117,75,23,9,0,3,17,35,88,91,120,162,115,52,51,73,97,167,190,200,181,118,77,61,70,150,189,134,100,67,21,8,1,2,16,37,77,90,142,173,82,64,88,81,114,177,194,210,189,160,84,113,110,140,182,136,85,74,21,8,0,3,15,39,64,78,166,135,129,98,50,50,90,181,199,205,177,165,122,91,137,137,137,164,76,82,20,8,1,3,14,45,52,87,145,115,102,58,71,109,136,192,207,209,198,194,181,98,92,133,135,177,83,89,19,9,0,3,13,52,45,121,140,119,61,82,118,94,132,204,220,216,205,194,195,114,104,86,137,190,106,83,24,9,1,3,13,50,48,139,159,82,95,86,80,86,146,206,225,221,184,188,196,126,88,113,123,177,140,81,28,9,0,4,14,42,58,151,132,133,91,48,58,126,182,213,219,224,209,200,211,187,93,116,154,119,173,81,30,9,1,3,16,36,77,136,109,113,64,85,99,164,191,223,231,234,217,202,220,214,171,100,100,139,177,85,32,8,0,4,19,33,100,147,105,62,95,90,79,143,180,222,235,235,207,200,211,200,192,131,82,113,198,98,35,8,1,2,20,37,111,161,57,100,74,53,111,167,198,222,233,236,220,220,214,202,186,157,101,123,182,122,39,8,0,2,19,44,129,129,123,71,62,85,151,165,196,232,239,242,227,221,227,221,203,176,102,147,132,145,45,6,1,1,15,54,144,107,95,77,107,101,108,115,182,232,243,243,221,215,215,209,203,202,134,64,123,159,44,4,0,1,11,53,154,82,66,110,97,65,63,101,172,223,240,244,227,222,219,211,194,183,154,74,89,162,43,3,1,0,9,49,161,74,78,45,59,75,109,115,179,224,237,247,233,226,226,226,200,165,128,85,120,165,44,3,0,1,8,54,158,118,37,73,141,176,177,170,173,229,245,250,226,212,212,213,218,190,129,54,137,149,50,2,1,0,6,62,144,79,123,178,190,200,204,206,193,229,243,250,224,212,209,198,189,172,155,77,66,158,52,2,0,1,5,60,136,99,185,200,211,222,231,232,228,237,239,249,235,222,226,209,209,206,178,100,44,146,47,2,1,0,5,71,145,155,177,210,230,239,238,233,233,249,250,252,230,206,227,244,244,236,201,150,113,139,64,2,0,1,5,84,173,167,196,226,236,238,242,241,237,250,252,253,228,223,244,245,246,244,212,174,159,160,74,23,29,0,5,102,159,192,216,231,235,242,247,249,247,251,251,253,241,247,250,249,246,243,229,212,190,171,85,49,44,2
18,43,79,83,106,104,75,83,92,81,60,82,105,171,170,152,170,164,115,105,89,83,91,88,101,120,94,31,15,26,27,76,113,114,85,94,107,132,140,138,123,153,138,123,148,154,139,129,146,145,113,104,99,131,87,31,14,25,27,45,92,114,110,115,105,104,137,182,156,167,165,146,181,169,168,211,195,122,115,120,106,107,66,34,9,18,25,53,77,89,116,133,103,110,135,163,162,191,178,151,178,177,178,168,129,114,115,131,110,80,51,30,5,9,23,49,75,90,112,160,130,134,174,149,119,184,189,159,203,168,156,174,165,126,142,148,96,71,42,22,1,5,20,37,66,90,129,184,159,172,157,115,127,176,194,184,204,173,179,178,181,151,167,167,113,68,36,16,0,1,16,36,61,93,129,167,170,204,115,66,89,163,196,174,212,184,163,114,174,183,173,171,117,66,34,15,0,0,12,35,63,88,130,153,200,158,97,77,103,166,197,200,206,164,103,62,90,212,172,148,110,64,33,12,0,0,10,33,61,84,134,184,170,116,73,56,95,157,202,194,207,169,80,84,93,153,196,142,107,58,30,9,0,0,7,30,64,93,144,210,121,72,75,82,133,148,206,223,205,157,71,57,75,120,194,156,108,55,25,6,0,0,6,29,66,98,183,157,116,84,63,80,159,197,205,198,204,188,113,91,63,87,190,163,107,54,23,3,0,0,5,31,69,118,202,137,59,49,75,144,203,176,219,226,207,172,106,94,88,95,135,182,98,59,21,2,0,0,5,33,71,144,193,96,84,56,95,168,210,196,223,225,185,188,150,120,60,79,105,201,102,64,18,1,18,16,6,34,81,179,136,88,63,96,158,187,200,184,232,228,214,178,122,99,98,62,94,199,112,56,17,1,41,41,7,37,92,196,92,65,89,128,167,191,200,195,233,234,214,177,130,105,37,92,89,172,118,51,15,0,2,2,9,39,112,177,114,70,42,109,175,194,190,218,232,231,231,218,164,167,80,52,96,142,140,48,13,0,0,0,10,43,145,141,75,65,83,105,183,200,210,205,241,241,228,217,138,114,78,84,54,151,143,47,11,0,0,0,12,50,183,101,67,51,40,79,162,184,206,231,235,234,228,235,157,136,56,50,100,130,151,45,10,0,0,0,14,76,184,90,29,29,51,101,182,206,206,225,238,243,237,213,121,125,106,78,74,138,159,42,8,0,0,1,16,111,147,52,43,48,49,71,132,191,206,226,235,235,222,199,102,105,63,76,91,92,178,41,7,0,0,2,20,144,90,53,39,24,33,35,84,165,194,227,235,242,219,187,125,121,66,45,57,102,198,48,6,0,0,3,32,146,93,31,17,20,38,83,150,184,204,216,229,225,176,155,82,88,85,79,47,93,192,62,5,0,0,4,50,135,61,34,50,97,130,155,156,185,223,229,230,226,186,177,118,77,59,61,92,78,171,76,5,0,0,6,69,110,89,130,175,166,162,169,183,207,214,230,242,248,214,213,196,134,61,52,60,100,165,83,5,0,0,8,87,122,165,182,185,182,192,202,212,217,229,236,242,244,222,223,210,209,163,63,39,90,183,80,5,0,0,13,94,150,183,187,194,208,214,202,200,209,241,248,250,250,246,248,239,236,235,194,78,73,177,82,6,0,0,23,105,167,187,205,221,220,219,221,218,221,239,249,251,245,240,247,250,243,239,232,194,85,159,97,7,0,1,31,119,163,196,228,232,230,237,237,237,243,252,249,250,249,248,251,250,251,242,230,217,181,162,84,6,0,2
12,22,65,82,46,48,25,9,14,53,133,207,229,226,228,187,142,101,57,65,100,99,110,113,74,27,28,47,8,19,51,84,63,60,39,23,33,72,133,161,200,196,197,176,160,125,104,128,110,119,124,118,65,26,13,51,25,89,35,84,91,67,75,57,67,98,151,161,194,176,194,181,157,157,165,112,137,123,120,104,54,23,34,35,32,106,29,88,97,82,106,136,134,132,148,139,181,171,198,177,140,173,178,128,153,144,108,78,41,18,2,0,27,73,29,83,104,116,116,111,167,180,124,129,183,179,202,161,125,153,179,159,163,162,119,56,31,14,1,1,0,7,26,72,112,120,140,128,157,189,135,125,167,185,202,176,144,120,153,172,174,172,132,49,26,10,0,0,1,4,22,60,103,118,158,152,165,154,126,147,180,194,208,166,95,79,131,154,183,163,124,43,23,7,0,1,0,2,17,44,79,133,168,173,147,133,85,124,170,203,212,160,106,95,105,123,183,162,128,40,21,4,0,0,0,1,12,36,81,138,172,178,103,110,120,132,189,209,219,185,93,80,86,113,141,172,133,45,21,3,0,0,1,0,8,32,71,134,172,164,122,95,87,98,165,208,222,184,77,70,51,92,126,157,142,58,20,2,0,1,0,0,4,29,70,134,165,142,105,93,108,111,169,199,220,212,112,104,97,78,71,146,153,68,21,2,0,0,1,0,2,26,71,141,155,91,111,88,79,98,155,209,217,210,156,80,74,71,81,109,158,77,21,1,0,1,0,0,1,23,71,154,139,101,76,72,77,101,132,211,214,212,190,110,52,41,78,117,132,93,23,1,0,0,1,0,0,20,73,161,141,81,70,88,102,123,154,214,223,216,202,157,69,84,70,69,139,107,28,0,0,1,0,0,0,17,73,165,96,109,89,60,69,122,139,217,226,212,194,179,64,59,66,57,109,126,32,0,0,0,1,0,0,14,75,155,102,78,62,76,114,151,165,218,227,222,210,203,124,56,38,76,80,121,35,1,0,1,0,0,0,12,79,149,101,53,75,76,122,128,183,227,234,227,208,192,161,93,55,45,75,121,38,1,0,0,0,0,0,11,82,143,79,90,68,68,119,114,182,226,236,229,215,206,177,98,84,55,38,126,38,1,0,0,1,0,0,10,79,132,81,62,69,84,139,129,194,224,237,235,217,217,201,149,53,49,61,107,38,2,0,1,0,0,0,9,83,140,58,47,95,90,105,121,190,229,241,234,208,208,192,169,77,32,68,107,41,2,0,0,1,0,0,7,77,115,63,58,54,64,110,130,194,230,241,235,215,215,203,157,86,77,45,113,43,2,0,1,0,0,0,7,76,103,65,52,39,86,132,156,208,232,240,240,216,212,206,170,99,53,54,95,51,2,0,0,1,0,0,6,77,116,36,57,134,175,181,196,208,236,241,237,209,201,198,190,149,47,40,99,58,2,0,1,0,0,0,5,76,83,66,155,183,195,206,222,225,240,244,242,225,229,231,215,194,144,60,75,64,2,0,0,1,0,0,4,78,63,157,179,193,213,229,231,241,249,250,248,240,244,240,221,199,187,150,64,68,2,0,1,0,0,0,3,74,106,168,195,211,229,232,236,241,251,252,247,244,244,244,237,213,196,183,107,70,2,0,0,5,6,4,2,67,149,171,202,224,231,239,242,246,252,252,249,248,247,245,241,233,211,187,158,67,3,0,0,18,25,22,18,66,157,183,214,225,237,244,248,251,253,253,253,252,251,247,242,234,224,191,170,75,3,0,1,2
61,110,123,115,94,76,71,62,79,60,68,103,135,151,194,210,205,223,216,165,117,79,25,4,2,5,36,72,35,117,121,121,116,86,108,87,78,144,143,140,158,156,169,171,154,168,164,144,131,90,50,16,12,34,61,100,23,165,95,120,117,107,132,121,92,105,172,194,164,168,183,174,144,184,173,158,161,129,111,99,93,85,92,117,13,94,89,97,108,128,154,144,134,145,145,108,122,163,187,170,164,190,173,171,178,194,146,119,86,102,126,137,5,20,58,86,120,136,139,140,159,127,124,97,124,149,184,174,173,201,182,141,131,174,153,118,122,158,149,134,1,9,40,80,110,135,127,160,108,77,71,58,86,140,186,174,186,195,173,117,96,132,170,171,165,179,162,150,0,4,23,75,114,137,153,119,72,61,64,63,106,125,190,187,197,188,142,78,76,123,119,172,161,168,166,142,0,2,9,64,110,147,146,95,79,46,33,35,79,154,196,195,207,190,156,95,73,71,95,147,175,159,164,138,0,1,7,52,109,166,133,60,47,58,61,58,82,143,199,202,212,198,165,60,51,78,73,123,172,156,153,109,0,0,6,49,117,164,101,77,64,41,48,48,92,179,202,202,211,197,176,62,56,55,99,101,142,168,152,86,0,0,5,51,131,138,107,61,45,45,59,48,118,172,209,207,216,203,161,58,82,74,61,100,124,182,140,58,1,0,5,56,145,114,79,78,56,42,54,72,136,180,211,212,214,196,161,87,62,51,78,78,144,180,129,31,0,0,7,64,145,104,80,44,33,31,37,88,152,189,220,218,218,203,172,125,83,43,53,106,125,174,115,17,0,0,9,78,127,101,56,55,49,44,53,133,175,206,218,220,217,194,158,108,67,76,71,80,112,167,97,14,0,0,13,89,109,81,70,31,24,33,74,127,174,217,223,223,222,207,178,136,65,53,63,68,89,173,87,12,0,0,19,105,103,49,41,40,43,71,107,170,200,222,225,227,220,196,168,137,72,65,40,70,92,166,78,10,0,1,24,120,74,37,44,48,33,57,92,148,202,227,224,230,222,206,181,147,84,44,64,56,108,142,70,8,0,2,38,102,58,39,19,33,49,74,111,166,202,230,232,236,223,198,190,192,144,61,62,83,62,138,63,6,1,4,60,90,24,28,39,53,47,79,94,178,215,231,231,235,221,195,186,178,156,115,57,36,70,130,55,5,0,6,80,47,21,32,50,32,36,65,77,178,227,237,239,241,221,202,205,182,160,109,51,40,57,126,54,3,0,11,72,35,33,20,26,59,107,114,123,202,233,233,236,237,210,189,195,192,171,123,34,47,66,111,46,2,0,24,63,22,20,33,76,132,153,174,190,210,242,242,244,240,219,192,181,170,161,138,62,32,48,106,37,1,1,39,52,30,95,153,180,200,209,215,221,219,240,242,245,240,194,188,189,160,140,108,56,33,31,107,34,1,2,52,56,112,153,178,201,216,227,235,238,241,247,241,245,233,189,185,185,182,150,77,23,37,44,85,26,1,3,64,111,159,165,201,220,230,231,233,235,242,250,249,251,240,228,223,220,212,205,153,94,41,35,80,17,0,6,75,134,172,187,214,225,229,235,238,238,247,247,248,250,238,237,242,233,223,199,169,156,109,37,84,15,1,10,88,131,177,203,218,226,235,241,245,247,252,251,250,253,245,243,243,244,231,188,145,138,148,90,76,9,0,25,100,143,183,209,219,232,242,248,248,245,251,253,253,254,250,249,247,246,235,175,149,135,165,131,77,6,0,2
41,40,51,36,45,41,27,44,130,176,199,219,227,230,226,229,220,203,177,147,84,43,59,53,41,52,61,60,20,87,51,74,77,65,57,74,103,156,182,201,220,227,226,225,210,187,168,133,68,69,81,85,72,39,34,19,13,111,58,81,106,83,93,108,120,122,150,183,210,214,218,212,194,166,140,110,107,93,104,103,77,40,15,13,8,33,40,89,111,106,122,142,150,154,150,156,187,188,199,195,169,157,170,161,130,111,119,105,71,20,12,10,4,12,25,75,115,123,129,153,167,170,187,179,181,172,180,173,176,173,154,134,140,129,127,106,53,21,9,6,1,8,23,62,106,136,140,137,140,153,168,183,196,184,193,182,176,157,146,137,151,149,117,96,53,19,5,2,0,4,19,49,93,146,153,140,149,178,184,184,196,187,200,189,182,183,158,145,167,153,113,83,47,14,1,0,0,3,15,42,96,141,159,151,181,151,134,172,189,191,200,183,171,159,174,167,152,149,113,75,42,10,0,0,0,2,13,38,98,133,148,178,119,63,52,93,183,184,194,159,114,92,153,184,142,143,111,75,40,7,0,0,0,2,14,42,104,126,150,147,113,70,52,83,160,176,178,132,70,48,89,140,146,141,111,77,38,6,0,0,0,2,17,54,112,131,171,93,67,40,40,70,143,166,169,99,62,66,102,133,189,142,113,79,38,6,0,0,0,2,22,66,118,140,140,110,86,68,53,115,151,154,181,116,65,68,41,65,139,143,115,81,38,7,0,0,0,3,29,78,124,168,128,98,93,77,71,99,139,163,180,134,70,51,40,67,141,165,124,86,39,7,0,0,0,4,36,91,129,168,104,45,40,52,61,112,145,174,190,173,96,45,33,47,108,171,131,89,39,8,0,0,0,5,45,101,145,160,105,65,46,63,116,119,162,187,189,178,106,49,48,48,85,157,135,93,42,9,0,0,0,9,54,108,159,129,65,51,42,49,113,129,188,195,199,188,155,71,41,31,47,148,143,102,48,11,0,0,0,12,65,116,167,141,66,46,44,74,97,129,193,198,201,201,171,90,34,29,66,155,150,108,56,13,0,0,0,17,75,125,170,99,80,48,49,70,78,133,203,210,205,206,181,147,60,49,50,103,168,117,64,17,0,0,0,23,86,135,179,101,82,60,67,81,102,157,205,211,211,211,197,173,76,34,47,105,176,125,72,21,1,0,2,30,96,146,173,79,56,51,68,87,78,145,214,217,213,211,207,190,129,47,44,95,182,134,83,26,2,0,3,37,108,162,153,107,82,82,97,101,106,158,216,219,220,218,215,194,137,38,62,112,180,144,93,32,4,0,5,46,119,172,158,106,75,64,76,99,123,165,229,230,223,222,220,214,169,56,47,111,189,154,105,39,5,0,7,55,132,184,149,80,64,84,167,204,213,218,232,233,230,228,221,213,195,80,74,101,196,165,116,47,8,0,9,65,144,196,138,86,119,198,218,223,227,233,241,241,234,234,230,222,212,173,150,151,197,177,128,58,11,0,11,75,156,201,141,161,220,226,232,237,239,242,244,244,240,239,238,237,232,225,217,192,207,187,140,69,14,0,14,87,167,208,194,229,234,237,241,243,244,248,249,250,246,246,243,240,238,237,230,215,218,196,152,82,18,1,17,98,179,219,228,235,240,245,246,247,248,250,252,252,249,249,249,246,244,240,238,229,225,204,165,95,23,1,21,113,190,224,233,241,247,249,250,251,253,254,254,254,253,252,252,251,248,245,242,238,229,213,178,109,48,53,2
44,75,93,70,40,29,17,7,21,54,76,106,113,95,121,119,93,53,22,14,18,33,38,67,93,111,94,62,27,77,93,97,57,57,42,28,39,84,120,132,151,131,157,117,93,98,61,61,72,71,55,82,99,81,31,21,26,105,148,105,86,77,118,133,146,155,139,138,147,121,150,144,152,172,158,134,94,69,72,109,112,67,31,16,22,103,146,120,109,81,99,96,130,178,168,155,171,147,174,151,133,126,152,100,98,86,97,112,98,53,28,10,16,44,92,110,125,113,113,115,157,120,149,162,166,146,167,154,132,109,123,148,116,119,141,103,75,37,21,5,11,24,48,80,138,151,130,156,134,95,97,143,186,171,185,137,69,74,98,149,147,146,149,90,40,24,14,3,7,18,27,86,146,171,165,142,70,51,91,143,181,175,187,156,100,82,64,91,175,162,144,94,29,17,9,1,4,14,20,75,143,163,184,92,76,72,68,144,188,183,195,156,65,64,90,125,145,168,138,81,21,13,5,0,2,11,17,67,142,167,142,129,64,60,61,123,185,190,194,156,108,83,91,95,128,153,143,83,19,11,3,0,1,9,17,74,149,154,106,91,94,84,62,115,192,187,202,175,112,55,88,104,78,136,153,88,19,10,1,0,0,7,18,87,163,135,97,92,54,53,69,115,184,201,201,182,149,70,88,64,98,126,156,101,20,9,1,0,0,6,18,102,167,147,84,68,90,92,98,143,191,202,202,198,169,100,76,87,84,120,137,121,25,8,0,0,1,4,22,119,163,114,105,87,53,83,100,134,201,214,209,189,177,122,66,68,102,84,125,128,36,6,0,1,0,3,33,132,138,107,90,61,60,94,134,168,205,210,209,209,185,174,115,86,52,75,117,136,48,5,0,0,0,2,45,142,146,72,62,85,66,122,117,173,215,223,219,203,184,175,123,68,72,62,112,135,57,5,0,0,0,1,52,149,125,86,66,44,67,116,141,193,213,222,218,214,204,187,166,71,52,99,86,138,58,6,0,0,0,1,57,153,110,96,48,57,107,133,176,200,225,224,227,220,204,192,178,142,79,67,85,134,55,6,0,0,0,2,55,154,87,65,97,59,64,120,178,194,227,232,228,216,210,200,181,162,98,68,53,142,61,6,0,0,0,2,56,154,78,65,70,84,108,174,200,211,228,227,228,229,221,218,215,193,114,51,72,122,62,5,0,0,0,1,51,133,106,41,56,109,108,149,180,197,238,237,238,222,221,220,213,205,168,54,71,107,62,4,0,0,1,1,53,137,62,77,80,75,84,134,192,210,235,235,233,225,232,226,218,201,171,97,51,110,61,4,0,1,0,1,51,125,52,74,101,108,133,164,197,222,241,237,241,234,231,225,218,211,171,82,59,97,67,3,0,0,0,1,53,100,68,129,193,201,191,183,197,220,246,243,244,227,230,222,218,215,195,90,47,90,70,3,0,0,0,1,55,90,131,190,209,206,204,197,211,230,245,239,243,235,239,235,228,218,199,163,103,71,74,3,0,0,0,1,58,111,172,207,209,212,225,236,229,241,250,248,250,243,240,240,233,215,190,179,153,84,76,3,0,0,0,1,71,149,186,206,215,227,238,238,237,237,251,250,251,238,240,237,231,222,199,183,160,125,79,3,0,0,0,2,81,148,184,203,226,238,241,245,246,245,251,247,250,244,241,239,235,218,212,185,161,142,82,3,0,1,0,2,86,156,190,211,231,237,245,248,252,251,253,252,253,250,249,244,239,228,212,198,173,143,87,4,47,55,2
15,25,30,32,30,38,39,37,97,163,180,195,230,234,232,224,223,248,210,175,172,144,53,19,18,15,11,6,25,41,49,69,44,56,96,107,92,136,168,180,214,225,242,238,246,230,186,206,178,103,44,40,32,24,20,18,38,61,72,95,81,80,79,97,124,136,153,167,188,194,229,216,224,197,192,158,108,96,97,89,75,56,35,31,49,64,79,86,121,108,92,101,124,150,147,152,174,171,198,194,203,187,145,99,123,147,113,113,104,102,67,59,50,64,58,83,121,124,109,135,143,150,138,149,155,157,177,176,185,173,129,129,142,146,124,107,115,104,116,89,50,46,44,80,109,112,136,156,127,114,125,149,168,159,160,151,131,142,165,150,136,141,129,91,76,100,106,127,43,33,39,75,100,112,145,111,82,66,81,149,177,174,169,155,112,108,125,166,146,140,125,87,64,57,97,111,27,28,37,74,92,123,132,83,62,89,98,146,170,178,170,141,91,55,86,137,164,144,125,86,52,38,44,108,22,22,35,72,98,130,76,58,62,84,97,134,158,174,164,128,86,71,74,92,146,166,127,87,41,25,28,58,16,19,33,65,100,124,76,57,72,89,110,136,149,167,177,144,96,58,43,77,142,169,131,89,37,18,17,37,12,18,33,62,118,97,76,59,61,76,107,128,156,169,168,154,97,55,46,77,97,160,143,91,35,12,10,27,8,19,33,65,125,78,61,58,55,61,107,139,162,177,178,162,120,73,49,45,79,161,151,91,34,10,6,21,7,20,33,83,108,80,57,56,74,98,125,146,171,181,182,175,141,76,42,43,86,137,159,98,35,9,3,17,7,21,37,95,98,78,66,44,51,86,116,151,184,192,186,179,145,93,56,48,59,104,171,111,39,9,4,13,9,24,45,111,83,59,75,73,74,94,109,160,188,192,194,194,163,124,55,41,57,92,171,125,45,9,5,10,11,28,56,119,105,62,53,66,70,87,99,173,200,202,191,191,174,157,98,51,45,99,159,140,51,10,5,10,14,34,72,128,71,72,66,85,98,99,111,171,196,201,202,203,193,168,125,47,64,92,143,153,60,12,5,10,17,44,94,127,79,83,83,76,92,95,103,172,208,206,194,200,204,193,154,70,47,89,143,166,70,15,4,9,22,60,116,133,94,66,71,79,95,116,125,162,201,202,206,210,208,198,167,107,77,81,149,172,82,19,3,9,28,80,132,130,90,74,87,111,133,146,157,202,231,229,210,218,223,218,189,136,104,111,134,186,95,22,3,9,38,100,148,130,101,116,152,172,186,202,213,239,238,231,217,217,219,226,225,188,153,131,145,194,110,28,4,9,50,116,159,150,144,175,190,211,226,227,229,244,243,237,224,228,224,225,228,222,197,169,163,195,126,33,6,10,63,130,168,176,177,194,214,225,223,225,227,241,240,234,222,229,235,229,227,227,234,215,191,206,140,41,8,9,79,139,178,186,193,209,218,219,222,229,234,245,244,242,231,230,234,237,230,229,229,236,215,214,152,53,9,8,94,148,186,189,202,215,216,222,230,229,231,245,245,239,235,238,237,236,238,230,227,228,227,221,164,66,11,7,107,156,189,194,213,213,221,230,230,229,237,245,245,245,236,239,230,222,232,236,227,229,233,223,180,83,13,7,118,162,191,206,215,220,228,230,231,233,240,251,250,246,224,214,198,204,225,236,234,231,230,228,196,108,16,6,129,170,197,218,222,230,235,235,237,239,242,248,249,232,196,210,202,210,225,220,233,237,230,232,213,128,21,5,2
37,62,105,129,158,142,135,133,142,189,211,228,197,172,189,192,183,216,154,175,157,144,108,91,54,12,52,68,19,54,107,130,150,152,144,155,195,178,176,204,174,150,198,203,217,183,163,186,178,162,98,77,55,13,48,66,20,116,113,117,144,158,163,158,179,221,203,200,188,155,203,223,219,207,186,187,182,166,91,66,52,27,61,67,26,131,116,107,129,151,182,182,176,214,227,219,204,170,213,218,162,176,223,185,175,170,91,57,49,20,34,38,30,110,102,88,112,168,199,199,201,216,196,208,221,187,223,201,129,121,161,208,184,167,100,54,50,21,30,39,32,28,64,72,103,177,194,202,229,157,149,185,221,201,227,188,122,112,116,158,213,172,117,54,49,23,27,37,34,21,53,65,96,172,187,214,180,134,140,181,214,208,234,180,95,78,85,121,192,198,142,59,49,25,27,37,35,20,51,62,92,170,204,198,126,107,114,128,179,197,236,176,98,96,101,120,128,187,174,89,49,26,26,38,35,19,50,60,96,173,218,153,119,118,128,136,170,188,232,200,105,86,75,80,108,164,201,130,54,28,24,38,36,18,48,59,110,191,181,137,107,82,109,115,163,200,229,206,128,82,84,79,106,139,192,156,73,27,27,38,37,17,45,59,128,209,166,113,96,99,122,125,175,212,231,221,157,75,76,61,87,133,159,180,96,25,26,37,38,19,40,69,146,204,150,125,86,89,121,109,174,219,231,221,171,125,110,83,96,97,134,190,111,21,24,38,38,23,35,84,168,179,132,101,97,114,131,142,164,227,236,226,183,125,106,76,78,108,126,171,123,21,24,37,38,24,29,99,173,168,104,98,73,75,109,131,189,226,237,227,162,158,105,70,64,75,118,158,133,25,23,35,38,27,22,106,179,152,117,70,64,73,127,139,192,231,241,235,191,168,145,104,104,98,82,137,146,30,22,34,39,31,17,104,181,127,98,108,96,99,127,157,203,230,240,243,199,176,171,112,67,73,91,124,156,37,21,28,39,34,14,98,185,106,102,84,76,105,107,155,204,236,247,244,200,192,184,141,82,65,66,120,157,44,19,28,39,34,13,90,176,127,74,68,93,101,131,168,206,228,242,248,215,186,191,161,92,79,80,86,163,51,17,26,39,35,14,81,173,110,90,94,103,108,135,144,189,229,242,250,196,180,185,160,107,70,81,90,161,58,18,25,39,35,15,72,176,106,98,79,74,80,134,138,170,220,239,249,215,203,201,184,135,75,77,105,156,68,16,26,39,37,16,65,168,117,64,64,76,110,118,127,174,209,222,250,208,191,196,166,150,113,97,106,150,79,13,26,39,37,18,59,168,103,73,83,82,91,93,103,144,221,228,250,201,189,175,150,119,88,112,99,130,88,11,27,39,37,19,54,163,101,98,72,66,80,89,128,170,222,227,247,217,193,171,149,105,72,80,91,122,100,15,23,38,38,18,50,154,102,68,58,70,125,164,171,205,241,239,250,218,181,176,189,165,117,80,68,126,108,19,20,39,37,19,48,152,101,63,96,166,204,205,212,216,243,245,251,222,203,197,200,197,183,141,69,99,118,23,16,39,34,20,46,150,92,128,174,202,230,232,232,233,243,242,251,235,229,229,227,216,198,193,138,80,124,27,14,39,37,32,51,140,113,188,199,227,237,245,246,244,251,250,253,239,235,246,246,237,224,207,194,108,127,30,13,51,50,52,70,142,165,199,217,235,244,244,243,244,252,252,252,243,242,244,237,228,225,220,198,159,124,32,12,2
6,19,51,112,97,109,123,149,125,118,147,194,223,217,208,216,178,151,112,130,130,112,102,84,101,45,51,47,4,17,47,87,100,126,137,143,182,151,150,183,184,180,176,199,181,151,147,166,136,129,121,83,77,35,48,52,4,70,57,77,96,135,147,159,170,197,159,178,191,164,164,196,172,160,174,166,147,142,122,81,67,40,44,47,2,86,105,64,94,158,168,155,161,214,198,184,204,183,184,207,175,186,206,158,150,166,137,70,47,30,31,17,2,125,90,63,121,174,183,169,200,206,216,204,205,175,184,202,202,214,208,182,156,187,148,90,41,23,10,1,2,53,72,63,117,165,194,194,194,157,170,196,210,191,200,207,190,158,155,197,188,179,147,84,41,20,8,1,1,12,33,63,116,162,206,168,167,129,149,180,209,196,214,216,177,125,132,183,189,171,139,83,39,19,7,0,3,12,35,69,124,180,169,134,136,131,130,160,209,212,225,208,139,111,122,146,156,186,138,86,38,19,6,1,2,13,36,81,158,141,153,144,108,106,118,161,204,212,227,208,146,120,114,122,126,156,162,99,39,20,7,0,3,15,39,101,169,132,99,116,109,96,101,127,185,216,230,205,110,80,85,113,131,136,152,123,48,22,6,1,2,16,51,130,148,126,114,107,101,107,133,144,183,208,233,212,120,104,102,96,85,101,160,142,68,26,6,0,3,19,71,147,137,119,94,76,72,84,101,130,185,215,239,224,127,72,73,70,101,123,123,155,90,30,5,1,2,24,80,154,110,80,95,98,98,104,118,137,180,216,235,221,176,107,108,89,78,102,116,141,109,37,5,0,3,28,88,133,115,102,57,53,67,85,114,131,195,230,239,231,200,146,102,87,99,78,83,152,111,41,4,1,2,32,87,138,76,61,59,69,80,105,139,124,199,236,240,220,193,169,100,61,50,71,112,102,121,44,5,0,3,33,99,106,54,65,78,70,73,115,143,154,211,234,239,231,215,197,118,91,88,69,75,97,125,45,5,1,2,31,111,79,89,46,38,42,58,122,110,161,221,238,243,226,206,192,141,56,81,86,59,73,123,41,6,0,3,27,112,70,45,49,57,69,96,137,128,168,223,241,243,222,219,210,175,99,56,39,61,85,104,41,6,1,1,25,113,45,42,70,77,68,67,122,107,185,228,234,244,232,221,210,183,132,78,61,46,61,95,46,6,0,2,29,94,71,40,37,53,53,66,101,112,172,231,244,247,218,211,202,174,134,54,69,62,34,100,44,6,1,1,32,92,51,29,41,56,75,87,110,140,178,221,240,246,217,221,218,203,165,95,44,30,54,89,47,5,0,1,28,96,26,57,59,46,41,49,74,111,178,230,237,249,215,203,202,195,167,118,57,32,37,87,48,5,1,0,29,84,42,49,33,29,34,55,94,120,158,219,238,247,203,193,200,198,144,79,49,65,38,71,54,4,0,1,35,84,52,32,71,112,140,168,179,183,201,216,225,247,210,204,207,193,151,75,36,38,46,66,54,3,1,0,39,85,64,111,154,183,197,205,203,203,225,242,243,250,214,190,214,223,205,141,101,49,32,76,54,3,0,1,39,83,126,169,185,205,223,234,233,226,236,248,250,251,228,232,232,226,204,161,148,105,64,75,56,2,1,5,43,108,152,185,194,225,237,244,249,248,249,251,251,253,246,245,240,232,221,187,165,155,108,70,57,2,0,35,62,163,189,189,213,232,243,249,249,250,251,253,253,253,247,241,243,240,231,212,190,172,145,86,56,2,1,2
6,25,47,82,60,44,46,45,46,66,114,194,226,218,228,227,202,138,66,56,52,45,68,78,93,62,54,54,5,25,37,64,58,53,68,98,89,83,117,155,175,156,181,191,154,136,146,119,69,69,85,90,89,48,52,54,3,81,43,58,70,62,70,107,163,173,142,154,163,151,169,164,164,187,175,110,82,94,88,102,71,40,49,50,2,90,94,39,48,85,85,109,125,174,173,163,183,145,167,195,191,186,164,124,105,132,102,82,49,32,35,17,1,143,60,39,68,124,118,124,153,179,161,147,171,170,189,192,176,166,190,163,133,164,136,85,36,22,13,1,1,50,63,39,75,144,130,154,179,127,82,135,187,173,193,202,141,108,149,192,176,160,140,100,26,19,9,1,0,7,21,35,78,137,148,163,154,125,96,127,179,194,210,188,136,133,151,164,175,167,139,90,22,15,7,0,1,7,20,31,76,123,170,149,128,96,87,139,196,196,215,192,119,90,93,125,146,183,139,89,21,14,6,1,0,7,18,28,72,124,171,128,92,73,75,99,182,202,220,183,92,88,93,89,118,160,152,96,20,13,5,0,1,7,16,28,73,148,116,119,110,114,117,137,194,207,222,211,129,97,95,104,119,99,171,112,20,13,4,1,0,6,14,30,86,151,110,97,78,85,90,127,196,220,227,220,142,63,78,62,81,120,171,129,35,12,3,0,1,6,16,34,102,153,94,75,70,94,118,133,188,230,228,221,195,118,115,90,85,93,158,143,60,10,2,1,0,5,17,40,127,102,96,110,81,85,143,149,206,228,231,228,207,159,103,88,109,104,89,162,83,8,1,0,1,4,18,52,136,99,78,52,49,58,128,122,204,233,236,221,201,201,151,101,71,58,102,165,100,16,1,1,0,4,19,63,138,104,43,46,52,105,158,129,210,232,238,232,212,206,185,142,98,61,69,157,111,27,1,0,1,3,22,71,129,81,86,57,45,91,123,122,218,230,241,234,196,195,189,157,113,75,84,108,124,34,0,1,0,3,23,80,107,89,57,59,67,131,125,138,212,232,242,234,209,211,210,183,142,75,74,77,131,42,0,0,1,3,25,84,122,43,63,83,88,105,132,156,213,228,241,239,208,192,201,183,159,116,48,66,134,46,2,1,0,1,22,91,78,71,79,61,73,83,99,146,213,235,245,241,190,184,182,181,149,110,70,54,127,45,3,0,1,0,19,93,65,76,60,71,87,101,125,153,198,227,242,240,204,205,198,181,163,102,58,74,100,55,4,1,0,0,20,101,50,49,78,87,90,103,130,164,207,220,235,245,205,193,193,181,161,134,76,53,91,64,4,0,1,0,21,108,40,52,100,125,146,157,170,180,217,231,239,245,193,180,166,154,122,107,80,40,78,74,5,1,0,0,25,88,59,81,125,155,172,189,207,213,219,232,241,245,200,190,174,174,150,111,51,39,73,80,6,0,1,0,31,80,73,129,154,187,204,209,220,229,238,241,245,250,212,200,198,201,200,172,106,39,64,86,7,1,0,0,33,86,100,160,188,203,207,217,224,229,242,248,250,250,214,208,211,210,204,194,164,98,51,84,9,0,1,0,39,91,125,174,192,208,220,229,237,239,243,247,250,250,228,231,229,225,215,197,178,152,67,92,10,1,7,11,42,111,147,166,195,214,229,240,242,245,249,250,251,252,242,241,243,239,225,209,183,164,113,106,13,0,25,27,59,132,158,174,202,223,234,239,242,244,249,252,253,253,246,243,243,241,236,218,196,163,156,118,16,1,2
7,5,0,31,65,85,88,119,116,118,171,130,161,170,158,148,185,171,166,142,75,128,114,109,76,53,3,0,7,4,0,30,67,89,108,140,126,123,155,159,159,169,163,155,191,169,164,155,106,149,126,100,70,43,0,1,6,2,1,22,66,104,127,144,129,142,157,179,166,182,158,158,195,171,189,157,135,159,140,117,64,26,0,0,6,1,2,16,54,107,117,122,177,191,171,153,196,199,180,192,203,190,185,170,177,154,150,124,53,15,0,1,5,16,31,16,47,102,110,168,196,121,80,97,163,217,168,205,204,178,118,103,139,206,154,135,51,10,0,0,5,26,45,16,47,99,148,149,109,112,83,76,117,208,195,230,205,104,69,59,88,166,197,148,53,9,0,0,4,0,9,20,46,126,161,97,50,40,71,91,108,209,203,238,208,82,77,75,90,101,146,181,70,7,0,0,4,1,12,20,66,177,103,94,65,70,100,96,83,188,211,243,189,55,59,42,41,61,132,194,97,6,0,0,3,2,11,20,111,175,69,41,52,35,118,118,117,184,203,247,200,118,62,69,66,62,94,175,144,7,0,0,3,2,11,31,155,90,68,52,67,90,117,125,141,190,211,238,196,127,84,63,54,67,110,127,174,14,0,0,3,0,9,49,145,61,56,56,51,107,136,120,157,200,215,235,213,185,169,118,70,36,37,116,189,29,0,0,1,0,2,63,125,30,36,65,46,61,88,69,154,207,219,227,202,196,166,81,32,37,40,70,163,41,0,0,0,0,0,96,83,69,52,51,60,86,129,116,163,203,226,234,210,213,175,112,34,31,54,81,102,58,0,0,0,0,1,108,94,42,30,25,61,92,89,97,183,210,232,235,212,201,168,151,110,60,53,46,114,61,0,0,0,0,5,122,51,37,68,64,85,122,97,138,179,228,241,231,216,194,168,159,136,78,44,38,77,82,0,0,0,0,9,116,69,46,50,52,63,86,71,146,197,210,243,235,225,212,200,173,144,103,43,80,45,90,1,0,0,0,16,119,58,28,39,59,55,89,70,143,195,231,247,224,204,200,192,167,153,143,82,49,64,85,1,0,0,0,26,117,27,65,65,53,71,85,79,147,189,225,246,232,216,207,196,176,146,135,129,46,61,86,1,0,0,0,45,94,52,55,60,37,62,58,65,133,203,228,248,234,223,200,214,193,174,127,104,80,51,93,1,0,0,0,58,94,38,33,51,51,61,68,69,130,199,237,244,236,216,181,193,169,176,156,106,80,74,85,1,0,0,0,72,66,33,42,50,45,35,40,63,136,189,215,243,243,223,203,183,166,153,145,133,94,56,91,0,0,0,0,84,37,55,41,16,44,70,107,113,153,188,228,242,226,205,193,189,189,154,131,117,112,49,86,0,0,0,0,75,52,33,73,95,142,152,162,165,183,195,218,233,208,191,168,164,163,162,138,100,81,63,74,0,0,0,0,73,70,76,134,163,174,159,166,177,213,230,243,251,230,205,168,147,134,122,131,103,39,88,59,0,0,0,0,80,86,124,162,174,183,182,192,197,221,243,248,244,238,238,224,232,209,158,97,47,26,85,49,0,0,0,1,88,110,161,167,181,201,209,225,229,241,245,244,241,240,241,234,238,241,224,150,62,38,89,33,0,0,0,1,82,128,161,168,188,212,223,221,225,249,249,252,248,242,246,239,239,232,232,188,141,61,105,21,0,0,0,1,79,141,155,174,200,212,215,223,225,237,244,246,239,238,242,248,241,232,225,220,168,118,101,13,0,0,2
18,17,30,51,96,128,149,154,168,176,188,170,172,196,173,172,193,173,161,132,116,123,118,149,137,89,76,74,19,16,17,50,83,116,154,179,184,180,180,200,183,198,184,185,195,178,167,168,174,151,129,136,133,92,60,66,19,129,31,50,75,109,159,191,187,190,207,206,202,210,183,199,205,185,191,214,182,155,137,144,125,87,74,53,18,151,25,51,71,108,158,179,192,215,200,164,203,217,189,208,201,205,221,197,186,170,148,125,101,75,43,11,18,50,47,52,69,116,143,171,208,202,169,129,169,211,198,216,207,195,197,213,188,183,178,125,83,60,39,12,19,15,26,54,74,122,127,184,192,160,146,130,171,212,210,226,205,159,138,197,207,187,185,117,70,52,36,12,18,15,28,55,88,111,126,199,154,119,107,104,145,209,218,229,193,136,140,171,193,195,168,113,62,50,34,12,18,14,31,59,94,103,161,156,158,134,116,108,139,214,222,231,166,120,112,127,166,204,151,110,63,49,33,12,17,14,32,68,88,115,171,132,115,124,114,104,115,210,228,226,141,100,113,113,129,202,152,111,74,49,33,12,18,14,34,72,90,146,161,110,113,114,117,117,133,211,232,222,153,101,108,111,151,162,175,108,87,50,33,12,18,14,33,68,107,163,135,130,94,84,101,104,122,210,233,217,147,96,124,117,111,137,178,114,92,52,32,12,17,14,31,70,122,163,91,99,127,134,143,150,156,218,234,219,162,96,115,82,108,114,181,136,90,58,31,12,18,14,26,74,138,141,93,100,95,93,102,120,153,230,238,225,186,130,135,97,85,130,159,161,97,59,29,12,18,15,20,73,153,123,100,63,79,94,128,136,165,231,241,224,183,146,114,97,117,107,123,173,108,55,26,12,18,15,16,70,157,105,85,99,86,89,131,136,198,231,240,234,187,162,126,85,76,95,100,176,104,50,21,13,18,16,14,66,160,109,85,82,84,120,152,141,195,232,245,231,186,185,124,91,80,64,120,162,103,47,15,13,17,15,13,64,157,118,61,82,97,126,144,150,199,231,243,232,208,194,157,74,75,94,95,147,102,41,11,12,18,15,13,61,159,89,99,83,69,108,106,151,206,237,248,236,202,194,186,113,75,88,81,143,95,31,11,13,17,15,13,65,154,93,87,75,86,114,114,178,210,232,245,234,208,200,187,130,83,66,77,149,92,23,13,13,18,15,13,70,153,77,67,94,117,104,100,157,214,235,249,239,211,217,203,134,60,73,72,148,90,18,12,14,18,15,13,73,136,79,86,104,89,86,97,137,210,232,247,232,208,203,196,160,59,62,98,126,89,14,12,14,18,15,12,78,119,105,78,67,75,107,116,130,214,231,244,232,209,210,184,141,74,68,70,126,87,12,12,13,18,15,13,83,128,76,74,73,86,90,119,148,213,234,246,229,201,213,190,119,59,69,56,133,85,10,13,14,17,15,12,87,127,63,82,113,139,168,182,193,225,231,243,216,190,189,160,97,59,55,73,123,83,9,13,13,17,15,13,92,109,100,163,187,210,219,221,225,245,243,250,235,201,189,144,82,66,50,82,118,81,9,12,13,16,15,14,94,119,181,190,215,234,238,235,226,245,249,252,240,236,246,230,194,161,102,62,121,76,9,12,13,20,19,19,91,161,198,209,233,238,241,242,238,248,248,250,247,247,246,240,226,201,175,84,125,69,9,11,13,37,39,40,101,180,194,224,235,240,244,245,247,253,250,252,251,246,238,235,233,185,162,147,125,64,9,10,12,2
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9,33,70,94,81,90,106,112,104,142,205,234,229,230,233,202,148,143,137,134,112,98,114,87,51,22,38,49,6,29,57,90,97,90,114,144,178,172,169,197,198,198,192,171,175,175,156,131,118,108,100,74,46,18,20,47,4,108,74,55,79,110,125,135,153,176,167,178,172,173,184,170,158,172,160,142,138,139,106,66,38,21,38,40,1,136,66,54,110,135,139,150,184,146,142,169,179,182,195,155,101,124,184,163,149,150,117,59,30,9,0,0,1,67,71,52,109,141,146,168,162,110,112,152,183,199,197,136,107,113,146,163,164,150,112,53,24,7,0,1,0,9,22,42,94,139,167,144,115,82,97,153,189,198,193,112,71,55,81,130,183,146,111,49,21,7,0,0,1,8,18,35,77,138,166,119,78,69,78,118,177,196,180,99,74,83,88,117,148,164,118,49,20,7,0,1,1,8,16,34,76,152,126,113,94,90,99,119,178,196,198,133,71,81,61,93,124,161,134,59,19,8,0,1,0,8,16,32,91,155,111,73,62,72,77,104,181,203,210,153,68,96,73,83,98,149,147,81,23,8,0,0,1,8,18,31,116,140,94,94,83,88,107,126,177,201,213,184,97,105,71,84,108,107,158,103,34,7,0,1,0,7,18,43,133,112,94,69,64,68,114,113,173,213,215,193,153,121,110,75,57,81,155,118,54,7,0,0,1,6,17,59,136,116,53,51,55,58,102,126,168,212,220,203,175,130,84,65,70,72,117,133,64,8,0,1,0,5,16,69,135,83,74,46,36,42,115,112,167,212,223,205,176,154,103,55,54,76,89,137,62,10,0,0,1,3,15,69,131,75,44,53,65,95,134,113,160,210,225,215,184,176,148,103,87,58,56,137,62,9,0,1,1,1,13,67,130,50,49,60,51,88,120,121,179,211,229,216,183,174,168,141,63,61,72,125,65,8,0,1,0,0,9,72,96,76,48,39,46,80,102,118,184,215,227,222,203,201,194,170,107,63,77,112,78,9,0,0,1,0,7,75,83,44,57,70,81,83,104,129,190,210,228,229,198,186,190,179,153,103,83,83,96,10,0,1,0,0,6,81,65,39,54,51,73,84,97,104,178,213,228,228,205,212,202,189,162,100,72,86,107,13,0,0,1,0,6,82,67,42,26,42,57,62,101,114,181,205,222,232,211,210,196,192,172,120,53,90,111,16,0,1,0,0,6,85,52,34,39,51,50,47,85,101,181,213,227,231,203,195,185,177,159,136,95,64,109,21,0,0,1,0,6,88,35,48,55,33,64,99,134,146,185,212,228,229,192,194,178,150,133,102,65,45,99,31,0,1,0,0,6,78,42,39,39,111,142,161,169,185,219,229,237,240,192,181,170,168,140,87,33,43,101,38,0,0,1,0,7,73,50,39,124,166,188,192,204,213,230,237,242,242,212,209,207,207,200,163,81,40,107,48,0,1,1,0,7,78,39,125,172,200,214,223,227,228,239,240,243,247,225,225,227,223,214,201,161,78,95,57,0,1,0,0,6,81,79,167,195,210,223,231,239,238,247,248,248,250,236,242,240,233,224,213,198,158,101,65,0,0,1,0,6,78,134,179,198,216,228,238,240,242,247,249,250,249,244,245,242,239,232,222,204,187,139,72,1,1,3,4,10,79,147,174,200,219,231,236,241,244,250,250,251,252,250,248,245,235,230,222,208,185,152,72,1,0,21,22,29,85,150,171,201,222,230,238,244,247,251,253,253,253,251,250,247,240,219,212,203,180,156,75,1,1,2
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7,7,8,6,5,4,8,17,28,55,106,101,113,127,119,95,127,101,92,94,50,29,19,6,4,5,6,6,14,14,14,13,15,17,22,28,43,96,88,88,113,147,130,118,153,115,108,112,77,35,22,12,3,4,4,4,22,16,20,21,21,26,47,83,123,119,74,75,119,148,137,135,152,115,74,75,130,67,43,19,10,7,6,5,32,23,25,33,43,35,40,84,100,93,70,85,136,168,146,159,170,137,96,79,142,130,94,77,39,22,17,13,44,36,37,37,82,85,82,128,58,50,45,82,131,169,152,170,155,101,75,62,93,119,76,46,38,30,28,26,52,44,51,59,98,113,150,97,58,46,44,80,149,188,165,194,173,121,84,54,61,109,124,72,61,63,51,41,54,48,48,74,100,135,124,79,37,30,41,78,141,193,174,204,170,112,91,61,50,70,158,112,112,99,63,49,50,43,52,86,115,152,79,59,47,52,59,111,180,206,189,215,183,125,103,58,45,66,129,160,128,117,79,65,51,43,57,80,147,126,66,74,50,38,55,109,185,209,204,221,200,151,138,104,43,53,112,150,139,116,86,57,44,39,58,92,170,119,58,45,59,62,92,153,197,206,211,217,185,150,134,112,66,73,74,137,151,121,93,54,30,33,61,116,177,97,59,64,57,68,111,169,209,218,223,229,209,178,160,146,70,65,72,104,175,116,83,56,16,27,58,152,146,113,73,57,56,105,133,164,196,231,236,221,197,165,160,168,107,61,61,114,172,123,82,50,7,25,68,157,144,82,74,63,101,164,200,206,216,231,238,225,204,181,165,145,143,78,75,93,169,125,78,49,6,24,85,167,159,92,108,123,136,158,196,200,231,243,245,236,198,196,195,167,146,93,91,83,152,130,75,43,6,26,112,152,168,89,82,108,125,164,205,201,236,241,242,223,192,193,188,169,177,137,58,81,141,139,64,36,7,30,125,160,107,96,95,98,140,179,211,227,242,239,243,231,205,213,210,181,151,160,92,75,125,145,55,26,8,34,136,140,107,152,110,93,129,181,208,220,244,248,247,229,195,209,196,197,172,155,123,105,99,148,50,18,10,44,131,145,121,132,110,105,160,214,223,222,241,237,242,233,207,216,192,177,164,166,141,82,114,135,45,13,11,51,139,121,134,132,122,131,168,207,212,224,248,245,249,242,214,218,214,191,158,142,144,74,98,138,39,10,13,63,133,112,168,147,127,135,161,199,210,218,246,249,247,239,202,201,195,192,174,146,114,78,93,125,44,8,13,73,115,144,175,142,134,164,186,222,227,227,242,238,240,239,213,209,186,170,170,151,131,80,64,115,36,6,15,82,115,157,158,144,187,215,215,213,215,231,251,243,249,243,210,212,194,167,164,147,140,87,46,111,30,6,17,82,118,144,161,183,212,210,211,218,213,219,242,245,242,233,198,190,175,167,138,133,108,62,48,105,25,4,20,87,108,138,179,194,191,196,207,219,226,222,245,240,245,233,200,175,147,131,121,105,79,32,58,95,22,4,24,82,113,150,173,176,187,196,218,233,230,234,249,243,250,244,202,187,150,144,148,157,108,35,46,95,19,5,30,74,125,160,161,176,191,213,223,226,226,227,242,242,243,239,208,219,221,201,185,176,164,95,41,88,19,4,36,72,133,153,168,185,205,207,221,229,229,235,245,243,247,238,232,229,223,219,194,181,171,146,82,83,18,3,37,80,121,155,179,204,206,212,223,230,238,243,248,244,251,246,243,233,228,219,211,189,175,161,133,83,17,2,2
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39,62,32,62,53,42,45,33,49,108,155,199,241,246,247,247,240,218,143,102,58,37,45,116,222,250,253,254,10,18,27,106,111,82,47,44,49,90,141,190,226,245,246,247,236,191,143,93,44,47,51,108,200,247,252,254,19,30,45,82,105,82,68,62,61,86,131,173,213,229,233,243,218,181,127,79,65,63,62,95,178,244,252,253,45,46,51,52,63,73,76,73,75,100,139,139,180,211,219,224,201,143,126,116,76,75,71,85,163,238,251,253,52,49,50,56,74,89,84,84,100,111,148,146,165,176,168,178,157,146,152,111,102,89,79,91,161,236,251,253,63,58,59,65,90,103,96,91,111,133,147,169,174,180,166,171,158,148,149,128,118,93,90,97,138,218,250,253,62,63,76,88,98,105,105,99,126,160,175,164,176,184,183,185,156,136,157,160,137,100,93,81,85,182,246,251,81,87,76,74,77,82,93,104,138,164,141,150,174,179,186,183,157,136,133,144,150,108,91,74,67,154,240,251,72,61,58,64,78,80,91,107,140,165,119,122,163,184,192,190,150,120,123,144,151,110,93,74,55,116,227,249,63,62,59,59,71,71,91,110,156,137,123,125,157,179,192,191,164,141,140,135,155,114,95,71,51,82,201,247,60,55,49,48,67,73,91,115,163,123,112,120,139,162,204,192,170,154,128,127,157,124,97,74,52,44,158,243,55,50,46,39,53,76,94,128,150,125,110,118,143,180,212,209,190,169,150,141,132,136,98,77,55,20,124,241,46,34,22,9,36,81,95,143,142,113,113,130,148,187,213,209,194,176,158,134,125,147,100,78,50,6,71,228,10,11,14,9,32,82,100,157,135,106,101,127,157,202,214,220,202,187,174,146,111,152,105,79,39,11,26,190,25,24,23,13,29,81,107,175,123,116,118,133,174,203,222,219,207,195,173,146,143,135,114,81,37,16,15,110,33,32,28,16,27,79,114,176,119,105,113,128,174,213,226,228,211,200,184,159,133,137,120,78,33,18,19,47,36,34,30,16,28,77,138,135,120,109,113,134,185,216,232,225,213,196,178,157,144,130,121,75,28,20,23,26,37,35,30,15,34,79,145,130,124,143,155,159,181,228,228,228,211,201,185,152,126,126,122,72,21,21,25,26,37,35,30,12,43,89,140,156,170,178,187,196,206,231,232,220,203,191,173,160,122,94,124,69,16,26,27,30,37,34,28,9,54,103,142,167,178,186,197,208,216,239,239,233,212,207,199,184,147,92,115,67,14,27,28,31,36,34,24,13,59,109,150,164,190,205,216,225,230,240,241,232,220,213,215,199,161,123,98,71,14,26,28,31,36,33,20,23,66,119,138,174,201,210,218,225,236,244,244,238,230,221,213,203,172,128,109,72,14,25,28,29,35,31,15,34,82,115,151,186,202,213,224,231,238,242,242,234,231,230,216,201,183,143,123,73,16,24,27,29,33,27,11,49,91,123,159,186,207,222,229,233,243,244,244,235,230,226,222,204,183,156,117,75,17,22,25,37,29,23,11,63,95,134,161,191,214,220,227,234,239,244,240,233,233,225,218,209,186,158,125,78,18,21,21,44,28,18,20,70,102,138,170,198,211,221,229,236,237,232,237,228,224,213,193,185,181,157,133,80,19,19,28,36,35,14,30,77,107,145,179,198,212,220,226,224,218,215,213,185,165,185,182,169,175,160,132,80,21,16,39,22,33,13,38,80,115,155,185,201,212,217,203,197,188,187,203,161,155,172,181,176,180,170,129,81,22,18,40,17,2
33,84,98,63,66,52,39,114,209,232,242,238,234,232,212,144,87,69,61,64,54,63,116,114,68,26,44,46,26,91,122,82,67,58,61,77,147,198,232,225,209,190,183,135,120,100,99,118,80,64,92,131,71,28,41,51,26,141,137,70,68,109,114,98,119,135,162,171,169,173,180,161,145,147,183,149,100,72,80,88,56,37,43,46,26,131,132,63,87,117,175,168,145,146,161,183,150,184,191,159,188,208,165,143,117,80,100,67,39,28,21,12,23,145,128,93,99,130,134,192,196,128,127,187,176,194,190,172,191,193,155,145,133,115,82,49,36,19,4,1,19,68,90,106,123,127,136,175,178,140,142,194,164,191,193,132,107,175,197,159,155,161,106,47,32,13,2,0,16,34,52,136,152,142,164,192,104,111,119,196,198,217,183,138,129,162,163,188,163,183,123,46,27,10,1,1,10,29,60,143,172,154,170,153,123,112,155,205,198,212,194,121,100,115,137,175,186,178,126,51,22,9,1,0,8,25,60,135,168,184,144,118,84,85,102,184,215,225,185,115,108,102,105,146,196,167,128,55,20,8,1,0,8,22,58,127,158,193,107,73,75,109,130,183,206,219,199,133,110,111,132,165,155,184,123,69,20,8,1,1,6,22,67,120,171,148,138,110,74,95,119,178,219,228,212,153,114,111,89,89,132,194,129,90,24,9,1,0,7,22,82,129,148,126,99,66,67,105,119,167,224,224,223,208,162,130,109,108,122,157,163,98,40,10,1,1,5,25,89,135,156,70,60,79,100,114,125,182,229,227,230,201,164,115,78,85,127,134,175,106,54,13,1,0,7,34,88,154,119,99,79,53,61,73,110,167,229,233,231,202,196,161,118,92,60,93,181,122,64,18,2,1,6,41,94,144,113,88,41,44,66,137,142,191,228,227,238,219,194,185,105,98,89,115,144,146,78,22,2,0,7,44,103,158,76,41,65,67,92,109,141,190,237,240,240,214,196,183,122,58,66,105,117,162,77,25,1,1,6,41,111,140,73,65,45,41,88,112,171,193,232,238,239,228,221,209,184,131,100,60,63,166,72,27,1,0,7,34,115,87,100,45,41,64,134,137,180,212,239,240,245,227,209,203,181,126,81,88,85,134,91,26,1,1,4,32,116,86,36,55,63,85,96,108,156,204,238,245,245,222,208,205,196,151,81,46,100,115,104,23,1,0,3,26,110,68,38,57,50,54,93,119,168,203,233,238,244,230,213,215,198,168,117,78,49,85,111,22,1,1,1,20,105,83,53,25,30,59,110,118,169,200,237,246,249,227,194,188,171,130,78,87,59,67,117,20,1,0,1,17,103,76,32,32,52,67,61,82,149,188,232,244,246,220,204,197,171,121,56,38,39,99,109,22,0,1,0,16,116,31,39,64,48,43,64,104,176,209,236,242,247,225,189,177,164,131,76,44,45,49,121,23,0,0,1,16,100,45,42,35,59,122,165,183,187,198,243,250,251,236,211,201,183,161,136,100,72,34,110,28,0,1,0,15,88,80,31,74,138,186,188,192,205,218,240,248,249,245,233,218,201,180,174,161,119,62,94,36,0,0,1,13,95,50,96,146,188,200,211,222,235,235,247,251,252,251,221,200,208,219,211,174,157,117,106,40,1,1,7,22,92,71,160,188,195,217,234,241,235,233,247,253,252,244,215,220,218,220,210,195,177,160,116,43,1,0,24,29,100,131,179,186,210,233,242,242,243,241,248,252,246,245,237,239,231,234,215,194,197,170,131,51,2,1,2
25,82,107,80,56,56,86,76,75,64,96,122,155,117,145,142,92,71,111,120,106,92,70,83,91,78,38,56,40,92,91,83,80,77,125,136,190,163,133,123,147,127,150,137,113,142,188,175,124,101,91,98,71,62,44,48,65,104,76,82,86,94,117,137,153,162,163,172,170,133,157,165,160,161,137,121,106,115,112,95,73,53,29,17,44,64,57,67,116,113,107,106,114,147,174,166,169,135,165,167,179,179,167,131,117,131,139,114,50,34,23,7,16,34,50,91,129,121,113,120,175,157,151,173,188,168,190,177,166,138,154,169,143,132,146,107,68,33,20,6,13,29,51,75,147,125,135,151,128,102,135,169,182,164,187,180,170,103,78,95,157,183,166,114,67,29,17,5,11,23,47,92,147,153,180,113,53,35,49,128,183,175,192,176,130,54,55,72,112,159,153,125,73,26,15,4,10,21,48,100,127,155,123,85,69,60,66,93,156,178,197,175,149,57,68,78,88,141,168,124,86,25,13,4,9,19,51,100,129,169,101,66,45,36,50,103,162,174,199,186,165,74,37,49,52,89,160,142,98,26,13,4,8,18,54,98,159,140,59,48,43,46,68,116,150,182,199,180,177,145,74,76,66,98,133,139,96,35,13,3,8,18,58,97,154,135,108,81,63,81,93,142,160,191,196,197,199,167,133,108,101,117,137,148,99,43,13,3,7,21,59,111,155,127,95,62,38,48,61,113,160,210,210,186,192,176,148,58,52,52,67,143,116,47,13,3,6,22,59,132,134,68,71,58,80,104,112,143,178,214,215,201,199,201,182,93,78,58,74,131,121,51,14,2,5,24,62,133,135,102,86,53,68,108,106,153,197,216,217,212,206,188,176,119,58,89,106,138,118,56,16,2,7,23,68,133,144,88,45,38,86,122,120,162,196,217,220,208,206,195,190,155,80,52,74,107,132,57,17,2,7,23,71,143,96,72,66,73,97,136,164,199,212,219,223,220,219,212,199,190,154,92,73,55,135,59,17,2,7,26,78,134,89,95,79,44,77,102,155,191,216,229,230,220,217,210,194,180,166,143,83,90,133,63,17,2,5,26,75,148,79,40,39,66,66,131,175,201,217,230,232,223,227,222,212,201,172,138,71,80,135,62,16,1,5,25,83,124,50,52,64,87,79,139,180,204,224,233,235,229,229,221,212,211,196,178,116,53,98,72,16,1,4,25,94,88,89,63,53,40,39,122,173,198,229,240,240,230,228,222,206,199,186,164,153,88,72,79,16,1,2,26,104,84,62,40,48,45,42,132,190,213,229,238,240,235,237,235,217,209,190,165,130,70,89,81,14,0,1,25,113,56,55,127,158,147,122,96,170,211,232,243,245,240,235,234,212,204,189,183,144,53,66,89,13,0,1,30,96,75,145,168,170,170,160,137,155,205,231,244,247,241,236,236,214,193,176,159,125,56,44,90,13,0,1,38,81,147,157,165,183,201,204,201,195,216,233,243,248,243,241,240,234,222,215,193,159,76,54,67,21,0,1,39,114,144,166,186,210,217,215,214,209,213,235,249,251,246,231,233,239,231,230,216,181,121,74,65,26,1,1,45,111,139,188,208,214,221,226,229,229,229,238,249,251,246,235,241,240,233,225,217,206,163,107,76,35,0,3,54,108,152,195,208,223,231,240,244,245,245,246,251,252,251,251,251,247,243,230,219,201,175,139,85,44,1,18,62,126,165,187,211,228,242,245,245,248,248,251,254,254,252,250,251,250,248,242,226,204,169,156,109,46,2,2
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25,16,9,4,11,10,9,26,67,93,122,158,197,188,179,181,183,156,144,124,100,52,23,18,15,12,45,54,52,19,10,6,9,15,29,42,69,114,141,161,201,179,172,184,196,154,136,108,69,54,37,24,18,15,50,60,75,92,65,27,54,77,102,117,122,131,156,176,202,166,168,179,190,162,149,148,153,140,107,77,52,51,71,74,109,131,112,37,44,59,73,98,113,163,126,136,177,186,191,204,183,158,166,147,118,102,84,77,75,73,68,73,121,146,124,84,99,98,101,132,162,145,85,167,184,171,188,200,176,154,91,197,148,123,122,134,103,89,84,102,138,99,87,88,147,169,157,189,120,46,42,101,185,192,199,207,177,75,32,95,187,168,171,174,103,97,106,129,163,96,96,103,171,164,157,151,59,48,63,108,168,187,204,202,174,59,29,46,106,199,165,170,123,126,113,129,135,102,88,128,172,154,164,114,55,41,48,97,177,188,208,212,167,59,29,51,66,126,164,177,142,121,103,124,101,93,94,135,173,166,194,82,49,58,70,122,166,196,219,199,171,86,24,29,58,131,200,160,131,113,98,79,54,68,92,125,159,181,148,91,70,58,57,150,192,178,204,215,189,117,38,51,65,83,183,163,123,114,94,62,42,67,99,122,166,206,124,56,35,49,66,150,181,204,220,205,179,133,42,38,42,76,133,176,124,120,88,55,37,66,103,120,186,173,96,75,61,64,98,176,188,186,204,213,205,151,103,52,38,50,110,210,141,115,85,37,34,59,101,123,180,153,87,51,37,46,101,156,189,219,230,210,184,153,132,66,49,82,105,148,145,111,79,29,33,48,88,129,202,98,56,57,63,89,126,186,190,203,219,214,209,202,184,136,65,46,84,140,175,100,62,19,28,38,76,131,156,116,79,47,43,89,133,168,213,228,234,223,200,195,201,178,140,71,64,95,184,100,46,12,19,31,72,166,125,59,39,42,72,115,145,176,209,222,228,217,206,205,196,156,127,98,91,103,128,93,33,7,12,27,75,163,98,75,45,34,35,64,100,166,223,227,236,229,208,206,203,186,151,107,51,83,147,99,24,6,8,24,78,148,102,51,20,26,53,72,94,141,189,220,235,224,196,205,201,180,145,136,85,71,127,115,18,3,6,23,104,87,50,48,43,52,48,67,75,156,212,223,239,232,201,216,218,193,147,103,61,90,117,97,16,3,4,24,112,63,57,39,32,47,75,150,172,198,233,238,245,234,178,186,185,177,156,131,56,32,78,99,15,1,4,25,104,80,30,24,84,122,169,200,204,214,232,230,238,229,187,184,171,146,104,95,69,48,34,106,20,2,4,39,86,43,37,117,159,165,189,201,205,226,243,243,248,233,176,170,165,161,137,89,57,56,60,90,24,1,4,58,42,57,133,160,177,201,213,224,231,237,242,245,248,236,205,194,187,180,157,146,91,40,38,88,20,2,4,61,60,129,151,171,204,222,226,224,227,249,251,251,252,243,230,231,219,205,185,155,139,95,31,70,24,1,7,64,115,141,172,200,218,224,232,233,230,246,251,251,251,244,229,232,239,236,220,187,144,126,83,59,31,2,8,76,109,150,193,211,218,230,239,244,243,251,251,251,252,245,224,239,221,207,205,162,124,92,98,84,30,1,15,77,119,169,193,206,223,238,242,243,244,250,248,251,245,234,224,230,200,168,146,155,143,92,67,101,27,2,37,85,147,174,191,210,234,239,241,244,247,246,233,236,226,226,212,227,202,161,153,151,144,84,58,95,33,1,2
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