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a,119,125,132,139,137,137,155,172,169,173,163,168,181,182,181,180,182,184,177,174,175,173,170,167,172,184,191,197,201,204,201,199,198,194,189,180,160,125,100,86,147,153,158,161,156,152,172,188,185,174,170,164,164,158,153,152,156,163,164,170,186,194,202,207,210,214,216,218,217,217,213,208,204,199,194,183,164,135,110,93,142,144,144,143,142,146,161,176,186,179,182,154,155,158,159,165,174,187,192,198,213,216,218,220,220,220,221,220,216,214,211,206,200,195,189,178,160,134,111,96,114,115,118,122,126,130,130,148,177,173,167,163,167,171,174,181,188,197,198,201,214,216,218,221,219,218,218,218,216,213,208,202,195,189,183,172,156,134,113,100,131,137,143,149,152,128,110,129,160,157,158,164,172,174,170,174,186,196,197,200,214,216,218,221,219,218,214,214,213,211,205,199,191,185,178,167,152,132,116,104,143,147,149,152,153,140,112,121,146,157,155,162,174,180,179,178,182,195,197,200,214,217,216,217,217,215,213,212,210,207,200,193,186,179,171,162,149,131,116,105,142,145,148,150,148,135,121,128,154,160,157,161,174,181,186,187,187,194,196,200,213,216,215,214,214,214,212,209,206,202,195,188,181,173,165,156,145,130,115,105,141,143,147,149,146,128,121,141,160,163,160,162,174,179,183,188,192,196,197,200,210,212,214,213,211,210,209,206,202,198,191,184,176,169,160,152,141,127,114,106,141,143,147,149,143,132,125,141,159,164,162,163,172,179,182,187,192,197,198,202,205,207,209,209,206,204,204,203,199,195,187,179,171,164,156,148,139,126,114,107,140,143,146,147,141,133,132,144,159,165,166,169,175,180,185,187,191,195,198,202,202,203,202,203,203,200,200,198,194,189,182,175,167,160,153,145,135,124,113,106,138,142,145,144,140,133,132,144,159,171,155,156,152,170,171,187,190,191,195,199,201,202,201,201,199,196,196,193,187,183,177,171,162,156,150,141,132,122,112,106,135,140,143,141,137,132,133,142,152,130,88,68,67,97,96,170,190,189,193,196,199,199,200,199,197,194,191,189,184,179,175,168,161,153,146,138,129,120,112,105,135,139,142,140,135,130,133,144,130,63,58,53,53,59,86,154,189,188,191,194,197,195,194,195,195,193,189,187,181,176,172,166,158,151,143,136,128,120,112,106,136,138,142,139,134,131,133,137,94,56,52,51,48,46,62,151,188,188,193,194,194,194,194,193,193,192,187,184,182,175,169,161,155,149,141,134,127,118,111,106,135,138,141,139,135,134,136,126,69,48,47,46,44,39,52,151,188,187,180,189,195,195,195,192,190,191,188,183,145,158,155,160,152,146,139,131,124,116,109,105,134,138,138,138,137,135,137,117,63,38,36,36,37,33,57,159,159,112,75,88,113,110,166,194,189,154,130,105,65,78,79,136,153,145,137,130,123,115,108,103,133,136,139,135,132,136,133,94,61,37,35,32,32,47,84,102,76,53,103,145,146,81,60,158,188,116,87,64,53,64,52,73,150,143,135,127,122,115,108,103,132,135,140,139,133,134,121,74,64,49,41,45,51,67,79,62,53,126,187,188,191,182,68,72,160,108,72,57,43,45,39,36,117,143,133,128,121,114,108,103,131,134,137,141,142,140,110,68,65,58,54,55,56,55,52,53,127,179,181,183,183,190,149,49,81,112,69,46,36,32,34,34,82,140,132,127,120,114,107,102,130,133,136,139,142,146,107,62,60,59,56,55,54,52,46,116,174,175,178,180,181,182,184,88,50,65,56,53,35,28,32,49,69,133,131,125,119,113,106,101,130,133,135,139,142,146,93,57,55,55,55,54,51,50,111,167,171,174,175,176,179,177,180,144,50,48,47,56,35,28,38,57,74,131,129,124,117,110,105,100,128,132,134,138,141,141,80,50,51,50,52,49,47,108,161,164,170,171,170,172,173,172,171,171,76,48,46,40,35,37,50,49,75,134,128,119,112,109,104,97,127,130,133,136,142,125,65,49,48,47,48,45,92,155,160,163,166,168,168,168,169,171,169,173,129,50,46,40,41,50,51,40,76,126,116,95,92,97,92,86,126,128,132,137,123,88,49,49,47,47,43,76,139,152,162,163,168,169,171,173,174,173,170,168,160,68,45,43,46,50,49,38,103,139,131,113,103,113,109,105,122,126,130,137,81,45,44,49,47,43,54,121,137,137,135,142,136,142,135,118,109,121,120,114,130,93,43,43,44,45,43,38,128,151,143,135,128,124,118,112,84,85,88,96,57,34,35,40,41,40,68,97,83,79,96,121,124,139,139,139,141,147,151,150,155,137,50,40,40,39,35,33,133,152,143,136,133,130,125,119,86,88,94,80,45,35,38,39,32,46,135,153,78,138,173,171,175,174,176,177,176,175,174,173,172,171,80,39,39,37,34,29,120,154,143,136,98,80,72,64,140,147,143,82,46,41,43,41,33,69,162,126,85,169,170,172,173,175,177,179,180,181,179,179,177,175,126,42,39,38,36,29,77,151,143,133,57,14,11,12,140,145,102,56,45,42,42,37,45,137,160,82,138,176,175,179,182,183,186,188,186,187,187,184,182,180,157,54,39,37,37,32,51,144,144,131,64,32,13,14,146,125,64,48,45,42,40,32,95,170,125,89,178,181,183,185,187,188,189,190,186,185,183,182,180,178,174,76,38,37,36,34,43,133,143,126,58,47,14,14,138,78,50,44,43,41,35,46,147,163,78,139,181,180,183,184,187,188,188,187,185,183,181,180,177,174,175,108,39,37,35,35,35,114,143,123,53,53,23,13,96,55,45,41,41,38,31,91,170,118,87,175,176,180,182,183,184,186,185,186,184,182,180,179,176,171,169,131,42,35,33,33,32,95,142,121,52,52,37,13,61,48,43,41,39,35,44,145,159,75,140,177,177,180,180,182,182,182,182,185,182,180,178,176,171,167,167,148,51,35,33,30,32,70,136,118,50,49,48,18,50,45,43,39,37,31,89,169,111,84,169,173,175,175,178,179,179,1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a,105,114,123,129,138,156,170,169,160,156,157,167,185,190,192,193,193,191,184,179,176,173,170,167,172,183,191,198,202,203,201,199,198,195,190,180,159,124,99,86,126,129,134,136,140,160,173,185,173,163,165,164,165,161,160,160,159,163,166,175,185,194,201,206,211,215,216,218,218,216,212,208,204,200,194,183,164,135,109,92,124,121,118,116,119,142,161,175,184,184,204,155,156,163,172,180,187,196,204,209,213,216,218,220,221,221,221,220,217,214,210,205,201,195,189,178,161,135,112,97,100,101,103,106,108,127,132,148,177,189,197,178,181,189,196,202,207,209,210,212,214,216,219,222,221,218,218,218,216,213,208,201,196,189,183,171,156,135,114,101,116,120,126,129,129,122,111,129,161,154,153,171,186,193,189,194,203,207,208,211,214,214,218,221,218,217,215,214,212,210,204,198,191,185,176,166,152,132,116,104,132,135,137,141,144,138,110,121,145,153,150,161,180,192,193,194,196,203,208,211,214,215,216,217,217,216,214,212,212,207,200,193,186,179,171,161,149,131,116,105,135,138,144,149,154,158,140,130,137,150,153,159,175,185,193,197,197,201,205,208,213,215,215,216,214,213,212,209,206,202,195,188,181,173,166,157,145,129,115,105,138,142,148,154,158,158,158,153,141,144,152,158,172,180,187,196,202,205,205,205,210,212,214,213,211,209,209,205,203,198,191,184,176,169,161,152,140,128,114,106,141,146,148,153,157,157,156,152,143,141,151,156,168,182,168,135,156,176,191,203,206,207,208,208,207,205,204,201,199,194,187,179,171,164,155,148,139,127,114,106,141,146,149,152,155,155,157,157,152,147,148,155,163,114,71,50,53,81,93,166,207,204,203,203,203,200,199,197,194,188,182,175,167,160,152,144,135,124,112,106,139,145,148,151,153,154,157,158,154,150,148,153,142,66,50,53,53,57,79,144,206,202,201,201,198,196,195,192,187,182,176,171,162,156,149,141,132,121,112,106,140,144,146,149,152,153,157,157,156,153,148,146,99,48,48,50,50,49,64,144,203,199,200,199,196,193,191,189,184,179,173,167,159,153,147,139,129,120,111,106,138,143,146,149,151,152,153,156,157,156,150,138,79,40,41,43,44,44,62,155,202,199,201,198,195,193,190,187,181,177,172,165,158,151,143,136,127,119,112,106,137,142,145,147,150,152,152,155,157,157,151,117,63,34,35,34,37,39,67,171,194,165,146,172,197,195,190,184,179,174,168,161,157,153,141,134,127,118,110,105,136,140,145,147,150,152,152,154,157,158,148,84,55,40,34,34,40,56,91,116,86,54,47,67,99,111,168,185,175,167,159,154,134,118,137,132,125,117,109,104,134,139,144,147,150,152,153,154,156,159,138,70,63,57,55,60,65,72,82,61,50,81,149,170,145,70,67,157,175,129,90,69,59,45,73,86,125,116,108,103,134,137,142,143,144,149,152,154,157,159,129,64,61,66,66,61,58,54,53,57,119,187,195,189,190,164,59,86,164,103,66,55,44,47,57,44,101,117,108,103,134,137,141,143,144,146,151,153,154,157,106,55,58,60,58,56,55,52,63,142,191,188,187,184,180,181,115,49,103,102,59,42,35,40,39,33,66,116,108,103,133,136,140,143,144,146,148,151,153,153,87,48,53,53,54,53,53,73,154,188,183,184,184,182,176,175,158,60,54,84,50,34,28,27,30,31,44,101,109,102,130,134,138,141,144,147,148,150,153,138,60,48,50,51,53,51,81,162,182,179,180,180,180,179,175,170,168,93,41,46,38,40,27,26,29,32,41,90,108,101,130,133,137,140,143,145,147,149,139,92,44,50,50,52,52,80,160,176,174,176,177,177,175,174,171,167,165,128,44,41,39,44,27,25,27,38,43,85,105,99,129,132,135,138,142,145,146,147,84,37,43,50,49,51,71,152,171,170,170,172,172,172,170,170,168,165,162,150,62,41,39,35,29,28,35,42,46,90,103,95,128,131,134,137,139,143,146,140,64,32,38,44,46,54,128,167,164,166,166,167,168,168,169,168,167,165,159,153,95,42,39,33,33,40,42,41,45,88,91,85,127,130,134,137,138,140,142,101,40,35,41,41,39,79,159,162,166,168,168,170,172,171,169,166,162,156,146,133,102,45,41,38,41,44,43,38,53,111,109,103,122,127,130,135,137,138,120,59,40,41,45,43,40,94,138,140,135,140,134,117,108,120,120,113,124,136,123,95,86,52,39,38,40,42,40,37,81,127,119,113,84,84,89,92,88,89,67,46,42,42,43,43,48,77,97,122,122,136,133,135,137,144,150,149,151,154,157,158,156,82,34,35,38,39,38,39,110,133,125,119,85,88,95,100,101,74,49,42,42,43,41,49,58,140,172,170,172,173,176,177,178,177,176,176,174,172,170,164,164,118,35,34,35,33,33,40,84,81,73,63,140,145,151,156,128,58,44,42,43,43,44,55,89,169,170,172,173,176,178,179,182,182,179,180,178,172,169,167,163,146,49,34,33,32,32,39,48,15,11,11,140,144,149,144,77,47,43,42,43,42,49,63,139,174,174,177,181,184,186,187,185,187,186,183,183,179,171,167,165,158,66,34,34,33,32,34,48,32,15,16,145,148,152,104,50,49,44,41,42,44,57,93,178,180,183,185,188,189,190,190,187,185,183,181,179,178,172,166,163,160,85,31,33,32,31,31,39,48,15,15,145,151,131,59,46,45,43,42,42,52,65,142,181,179,183,185,186,188,189,188,186,184,181,180,177,175,169,165,161,158,109,33,32,31,31,30,36,53,22,14,144,143,78,46,46,43,42,42,44,57,94,174,176,179,182,183,183,185,186,187,185,183,180,179,176,171,165,164,158,152,125,39,33,31,32,28,32,52,37,13,143,102,50,47,45,43,42,43,52,64,140,176,176,178,179,182,181,182,183,185,183,181,177,175,171,167,164,161,157,150,132,45,32,30,29,28,30,46,48,18,120,57,45,45,42,42,42,46,55,88,169,172,175,176,177,178,179,180,180,181,179,177,175,172,169,167,164,160,155,151,137,54,30,29,28,27,29,43,49,29,74,47,42,41,41,42,42,48,57,133,173,173,174,172,174,177,178,178,178,176,175,174,172,170,168,166,160,156,152,148,142,72,28,29,27,27,28,42,47,42,50,44,40,38,40,42,42,46,88,166,170,173,172,170,172,178,177,178,176,171,168,167,164,162,159,151,158,155,153,148,144,88,28,29,26,26,28,34,42,42,45,41,40,38,38,39,42,52,138,172,170,169,169,168,168,170,171,173,170,162,158,155,152,152,149,145,140,133,128,118,111,77,30,28,26,24,26,30,37,37,43,40,39,38,37,38,41,69,123,126,124,123,122,121,121,118,118,120,120,119,119,117,115,114,107,107,109,105,100,98,89,76,33,28,25,23,25,29,41,39,41,38,38,36,37,38,63,145,135,132,138,139,141,140,138,140,143,140,139,138,136,135,128,126,152,131,124,122,118,114,110,94,36,26,25,23,24,25,39,39,38,37,38,35,37,41,98,153,141,140,146,147,150,149,152,151,97,66,93,140,162,157,150,148,116,131,149,146,143,141,137,122,42,25,25,23,23,22,34,39
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b,131,138,143,145,140,144,174,189,188,189,177,180,188,189,191,197,201,200,191,187,190,188,186,185,192,203,211,219,223,225,223,221,218,215,208,197,176,139,115,102,160,167,171,169,160,158,186,201,199,187,183,179,177,173,170,173,176,179,180,187,205,215,223,228,231,236,239,239,239,238,234,229,225,220,213,201,182,149,125,108,156,156,156,154,150,156,176,193,200,188,187,172,171,172,178,188,202,213,218,225,240,239,240,242,241,241,243,241,237,235,232,226,221,214,207,195,177,150,127,112,125,126,131,136,140,144,145,162,191,191,184,185,187,192,201,203,173,136,115,130,173,233,245,245,248,247,248,246,239,233,229,222,215,207,200,189,172,149,128,114,144,149,156,161,166,144,124,142,173,175,173,185,199,196,155,102,61,46,46,46,45,100,217,231,171,129,145,178,224,235,224,217,209,202,194,183,167,149,130,117,156,159,162,165,169,159,125,134,159,170,169,181,173,123,76,55,53,49,44,49,48,49,128,92,41,40,44,44,102,212,224,210,204,197,188,178,163,146,130,119,155,158,162,164,168,163,141,136,166,175,174,156,109,83,66,54,48,45,39,42,43,48,165,104,39,45,47,47,46,84,195,211,198,190,182,172,160,144,129,120,155,157,161,164,167,156,140,145,169,180,164,105,81,72,60,51,43,42,39,41,43,53,77,58,43,42,41,43,50,47,91,187,195,185,177,166,156,142,128,121,153,157,160,164,167,158,144,146,166,180,122,72,63,66,54,46,43,45,42,41,41,48,93,63,39,41,38,43,47,51,55,91,184,182,172,163,153,140,128,122,154,158,160,164,164,158,149,150,167,161,82,58,58,58,48,42,42,42,45,45,44,47,82,53,37,38,39,44,45,54,58,62,137,180,167,159,151,138,127,120,153,156,160,163,162,157,151,151,167,126,65,58,57,53,43,40,47,48,63,126,140,78,79,58,68,65,41,39,42,53,57,54,96,173,163,155,147,135,126,119,153,155,159,162,161,156,152,153,152,91,58,57,57,57,45,40,53,93,178,226,224,89,67,73,203,206,125,42,41,50,58,54,64,151,162,153,145,133,125,120,150,154,157,160,161,155,149,153,108,64,56,55,56,57,54,47,64,191,223,225,136,46,135,55,175,218,211,123,50,46,57,53,51,120,161,152,143,133,126,121,150,154,158,161,160,153,150,130,70,58,56,56,54,56,56,56,55,122,165,108,58,64,168,48,141,221,207,213,107,42,58,51,45,81,156,149,141,131,125,120,150,153,157,160,159,154,137,73,59,58,54,55,54,55,54,54,58,66,53,51,51,74,170,47,70,166,208,141,68,43,58,50,44,54,142,148,138,128,124,120,148,152,156,158,158,159,96,53,60,57,56,55,54,53,54,55,57,56,55,51,69,144,178,54,49,55,93,52,39,48,56,49,43,40,122,148,136,128,125,119,148,151,154,156,158,134,70,57,58,54,54,55,53,51,54,57,57,53,54,112,190,215,212,148,56,53,54,55,50,54,56,48,41,36,102,147,134,128,123,118,147,150,155,158,145,57,54,58,58,55,53,52,53,54,57,70,87,99,154,209,207,205,205,210,140,56,57,54,52,55,54,48,42,35,77,144,133,128,124,118,146,149,153,158,144,44,46,57,55,50,46,47,57,99,146,177,192,200,204,201,202,203,202,201,201,127,60,54,52,55,53,47,41,35,53,133,133,128,123,117,145,148,150,157,119,45,35,45,46,42,41,50,70,166,190,191,192,193,196,199,199,199,198,197,192,191,148,73,48,52,52,46,38,34,35,110,135,128,121,116,145,148,151,144,77,52,38,33,35,36,37,81,168,176,183,186,190,191,193,194,194,194,194,194,190,185,186,160,69,45,47,42,38,36,29,80,135,125,120,116,144,148,151,105,59,54,44,33,33,34,43,83,177,178,179,182,186,188,188,189,189,189,189,188,186,183,178,177,153,61,42,42,42,37,33,36,105,126,118,113,142,147,136,71,57,52,43,36,35,39,96,159,169,176,177,180,183,185,184,185,186,188,187,185,184,182,177,168,169,139,50,42,44,38,34,30,67,114,107,101,140,142,97,58,55,51,44,38,39,59,142,161,162,169,178,179,186,187,187,188,189,188,187,182,177,172,162,148,135,133,71,38,42,38,33,30,58,128,125,121,137,115,61,56,53,49,45,41,44,94,155,151,153,152,148,156,151,158,148,132,123,134,133,126,139,151,137,107,104,120,98,38,42,40,33,29,55,135,132,128,97,72,55,55,53,46,44,45,54,106,116,113,97,92,112,138,141,154,153,157,157,162,165,164,168,170,172,174,173,170,134,39,40,39,32,30,45,136,141,134,72,55,55,54,51,46,44,42,94,158,160,168,91,151,192,189,191,190,193,195,194,192,193,193,191,190,187,179,177,180,151,46,37,39,31,30,34,79,81,71,65,51,54,52,49,45,42,52,148,180,182,144,96,184,186,189,191,194,196,198,200,199,198,199,196,190,187,184,178,180,167,62,34,36,32,29,29,18,12,12,53,51,55,51,47,45,41,91,179,177,177,96,149,194,194,197,202,204,205,208,205,205,204,203,200,197,189,185,182,178,168,80,32,35,31,27,28,26,17,17,52,52,52,49,46,43,48,142,185,187,144,98,193,198,202,204,206,209,208,208,204,203,202,200,197,196,190,184,180,177,171,93,30,34,31,28,27,29,19,17,53,53,50,47,46,43,77,178,184,180,94,152,199,198,201,203,204,208,207,206,204,202,201,199,196,193,188,182,178,173,171,111,31,34,31,28,26,31,26,17,49,51,48,44,45,47,125,184,187,137,97,190,194,198,199,200,203,205,204,206,203,201,199,197,193,190,183,181,175,168,169,127,34,33,31,27,25,29,38,17,50,49,45,43,43,63,164,186,179,90,148,195,194,197,198,200,200,202,202,203,201,199,196,195,190,186,182,179,174,167,165,134,37,30,29,26,23,23,43,24,51,47,43,43,44,94,180,187,131,93,184,190,193,193,195,196,198,199,199,200,196,194,193,191,187,184,181,177,171,166,162,141,46,29,28,26,23,21,37,38,50,46,42,43,49,127,179,171,84,141,190,190,193,191,192,194,196,197,196,194,191,1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b,120,129,137,148,158,174,185,186,175,173,174,186,204,208,211,213,212,208,200,193,189,188,186,184,192,204,211,218,222,224,223,220,217,215,209,197,179,141,116,102,141,148,154,158,161,178,189,197,187,183,184,180,181,177,174,176,178,183,183,192,205,213,221,228,231,235,238,239,240,238,234,229,225,220,213,201,182,150,125,108,135,135,135,135,138,157,177,193,193,203,228,168,171,181,193,200,197,190,215,235,240,237,239,241,242,242,243,241,238,236,232,227,221,214,206,195,176,150,127,111,114,115,118,120,121,140,145,162,191,206,216,199,202,199,164,108,79,63,77,113,189,244,244,250,251,250,246,242,237,234,229,223,215,207,200,190,172,149,128,116,126,129,132,134,135,133,125,141,176,172,170,185,153,98,60,51,53,49,50,46,54,151,217,166,132,145,172,218,239,230,224,218,209,202,194,184,168,148,130,118,137,140,143,148,152,149,123,132,158,168,158,121,86,62,54,51,49,43,45,47,46,100,104,41,42,44,44,89,204,232,220,212,204,196,189,178,163,146,131,120,140,146,151,158,164,170,154,142,151,158,116,85,71,62,53,48,43,42,41,44,46,104,118,41,45,49,49,49,73,189,220,208,199,190,182,172,160,143,129,121,145,149,156,165,171,173,174,171,162,122,79,65,66,56,49,46,45,46,42,45,48,71,58,47,42,45,45,54,48,81,185,205,194,185,176,167,157,143,128,120,150,154,160,167,172,173,172,172,154,84,59,57,60,52,43,43,42,45,43,40,46,66,63,43,44,41,44,49,53,55,84,185,190,180,171,163,154,141,127,122,153,158,163,167,169,170,171,176,130,64,55,55,54,47,41,46,46,53,82,83,56,75,62,37,37,37,43,45,55,59,62,133,190,176,167,159,151,138,128,122,153,159,162,166,167,169,171,170,98,57,55,54,54,44,39,50,74,148,213,225,113,55,55,115,129,74,41,40,54,58,56,90,179,172,162,156,147,137,127,122,154,158,160,163,166,168,173,131,65,55,53,55,57,51,42,65,190,221,225,173,51,100,60,183,229,202,80,40,48,59,58,64,153,171,162,154,144,134,126,121,153,157,159,162,166,169,159,77,57,55,55,54,55,55,54,53,142,187,142,66,54,188,70,123,222,216,189,79,45,59,56,52,119,171,157,151,143,132,126,122,152,156,159,162,165,165,90,56,57,51,56,53,53,53,53,58,73,58,49,49,77,212,77,73,205,214,218,161,47,60,54,46,79,164,155,149,141,131,125,121,151,156,159,162,170,116,50,57,55,52,54,51,52,51,54,56,56,54,52,53,128,211,70,44,79,179,128,64,44,59,53,45,54,147,155,147,138,129,124,120,149,153,159,162,159,78,55,57,54,54,55,52,51,53,58,58,55,49,94,177,214,214,133,51,49,59,56,45,49,59,51,45,40,124,154,144,135,128,124,119,149,152,157,155,77,53,57,58,54,51,52,53,53,54,61,73,81,137,207,209,206,208,212,118,51,57,55,53,54,58,50,43,37,107,154,142,133,128,123,118,148,150,156,151,52,47,55,57,53,49,47,54,89,127,158,184,195,203,202,203,203,205,205,202,102,57,57,54,57,57,51,42,37,84,152,141,133,128,124,119,146,149,156,141,52,36,45,49,45,40,45,60,146,186,187,190,192,194,199,202,201,201,201,201,188,98,57,54,58,57,51,41,36,57,141,141,133,128,123,119,145,149,154,95,53,39,34,37,38,37,75,168,175,183,185,189,191,192,195,199,198,198,198,196,194,189,117,51,53,54,46,38,37,39,119,141,132,128,122,118,145,152,128,62,55,49,34,32,32,37,73,174,177,179,181,185,189,190,191,194,194,194,193,191,189,186,184,106,46,47,46,43,39,33,82,139,130,126,119,115,144,147,87,56,54,47,36,33,34,83,155,172,174,176,177,180,184,186,186,188,189,189,188,188,185,182,179,176,91,42,47,45,40,35,35,107,128,123,119,112,143,119,60,56,54,46,38,36,48,135,167,166,169,175,176,179,181,183,183,184,186,187,187,185,185,181,176,170,157,65,44,46,40,36,32,68,109,110,107,100,134,75,55,55,51,46,41,40,80,160,159,159,161,168,177,178,184,186,186,187,190,189,186,183,178,172,162,148,141,84,41,46,41,36,32,59,121,127,124,119,97,58,55,54,49,44,44,46,118,158,154,151,152,153,150,156,150,156,148,132,122,133,132,126,138,150,139,108,105,93,43,45,42,34,31,58,143,139,131,127,61,55,53,52,48,44,42,59,119,123,113,111,95,92,110,136,137,150,146,151,154,160,165,164,169,171,172,175,176,156,50,43,41,33,31,45,141,146,140,134,54,54,53,50,46,43,42,111,152,153,161,168,90,149,191,188,191,191,194,194,195,195,194,193,192,192,188,182,179,179,67,39,41,33,31,37,94,91,80,71,53,54,53,49,45,42,61,165,177,177,184,146,96,186,187,191,191,193,196,197,198,199,196,199,196,190,188,186,177,183,91,36,40,33,29,31,50,20,12,13,52,52,50,47,46,41,107,177,175,176,177,97,147,192,191,194,200,202,204,207,204,204,204,203,200,196,188,185,182,183,116,34,38,33,29,27,48,41,15,17,52,52,48,47,46,52,155,183,181,187,144,100,194,198,201,204,206,208,209,209,205,203,202,199,198,195,190,184,180,180,137,35,37,33,29,27,37,56,18,17,53,50,48,46,44,86,181,182,184,181,94,151,199,198,201,203,204,207,207,206,205,203,200,197,196,193,188,183,178,174,149,41,35,33,29,27,29,58,31,15,52,47,45,46,47,126,183,181,188,138,98,190,194,198,199,201,203,205,204,206,204,202,198,196,194,191,183,180,174,167,159,52,32,32,28,26,25,51,48,15,49,46,44,46,61,157,181,183,178,90,150,194,194,197,198,200,200,201,201,203,201,199,196,194,190,186,182,178,172,165,163,67,31,32,26,24,23,41,59,23,49,45,43,44,86,175,181,186,130,94,185,190,193,193,195,196,197,197,198,199,197,195,193,191,187,184,181,176,171,165,163,81,30,32,27,24,22,31,57,37,47,44,42,47,116,173,176,172,84,141,190,190,191,191,191,194,195,195,196,19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d,120,128,136,144,152,164,169,161,163,173,166,172,190,195,195,197,197,193,185,181,177,175,174,172,179,189,196,203,206,207,207,204,203,199,194,184,164,127,103,89,148,154,160,164,166,168,178,189,184,178,176,166,167,165,162,163,164,166,170,179,190,198,206,212,216,219,220,222,222,220,217,213,209,204,198,186,169,139,114,97,143,144,144,143,145,149,164,179,186,195,218,157,159,167,176,186,193,200,207,212,217,220,223,224,225,225,225,224,221,218,215,210,205,200,192,181,164,139,117,102,112,115,117,118,120,132,133,150,180,194,202,186,185,193,201,207,211,213,214,218,218,219,222,224,225,224,223,223,220,217,211,206,200,193,187,177,161,139,118,103,124,127,131,129,124,123,116,132,163,159,158,174,190,197,194,199,208,211,214,217,219,220,223,224,222,221,220,219,217,214,208,202,196,189,182,171,156,138,119,105,130,131,129,125,119,123,114,123,145,148,152,159,179,194,197,198,202,208,213,216,218,219,221,222,221,220,219,217,216,211,204,197,191,184,175,165,152,135,119,108,127,127,127,125,127,138,141,137,151,151,151,158,169,180,191,198,201,206,211,213,216,218,219,219,218,218,217,214,210,207,200,192,185,178,168,159,148,132,119,108,127,127,127,129,140,148,159,165,162,156,155,158,165,169,175,185,197,203,205,209,213,215,216,217,215,213,214,210,207,202,196,188,180,172,164,155,145,131,118,108,128,128,128,135,145,155,162,163,164,162,160,159,161,165,168,175,187,197,198,205,209,210,212,212,210,208,208,206,204,199,191,183,175,167,159,152,141,128,117,108,129,129,130,140,150,157,161,163,166,168,165,162,160,163,169,175,184,192,193,203,207,207,207,208,207,205,202,201,197,193,186,179,171,163,155,148,140,128,116,108,129,130,132,142,151,158,160,163,165,168,168,166,162,162,168,175,183,186,188,203,205,206,205,204,203,202,198,195,190,186,180,175,166,159,151,144,136,126,116,108,130,132,136,143,153,158,160,162,164,167,168,168,166,163,168,175,182,181,187,192,205,201,202,201,200,198,194,191,188,183,177,170,164,157,150,143,133,124,115,108,129,133,139,147,154,157,157,159,162,164,168,170,169,166,169,176,180,184,183,89,149,202,199,198,198,197,193,189,186,180,175,168,161,155,147,140,131,123,115,109,130,133,142,148,154,156,156,158,159,163,167,169,171,171,172,174,175,163,132,61,59,132,198,198,197,195,191,187,183,176,170,164,158,153,144,137,129,122,114,108,137,134,143,149,153,154,156,157,158,162,167,168,171,174,175,176,159,68,50,53,56,55,123,181,194,192,187,185,179,173,166,161,156,149,142,135,127,119,113,108,137,138,142,148,151,153,155,157,158,161,166,168,170,172,176,172,112,61,57,52,53,57,59,98,165,190,185,181,176,171,165,160,154,147,140,134,126,118,112,107,136,140,144,147,149,151,154,157,158,162,163,166,168,169,174,175,89,54,54,53,54,56,59,54,92,165,184,178,173,168,162,157,152,146,138,131,124,117,112,106,137,139,143,145,147,148,152,154,157,161,162,164,167,168,174,166,73,54,54,53,50,47,54,56,56,89,157,176,169,164,161,156,149,143,137,130,123,117,111,106,135,138,141,144,146,148,149,153,156,158,161,163,166,168,176,147,47,123,138,83,49,48,53,57,58,55,86,152,167,161,157,152,148,142,135,128,122,117,111,106,133,138,139,143,144,147,148,152,155,158,160,163,166,168,176,125,45,136,191,174,110,53,50,52,55,54,50,86,144,158,153,149,145,140,133,128,121,116,110,105,131,136,138,142,143,146,149,150,153,155,158,162,164,166,173,110,45,129,183,182,185,103,50,47,53,57,53,55,81,136,151,145,141,138,132,129,121,114,109,103,130,134,137,140,143,147,148,151,152,153,156,160,162,164,170,98,45,138,178,174,178,153,63,46,55,59,55,53,55,90,142,142,139,136,132,123,115,112,105,99,129,132,137,139,142,145,148,151,152,150,150,155,157,162,161,81,50,146,172,170,172,176,114,52,54,55,55,52,48,56,105,139,134,127,120,98,94,99,95,89,128,131,137,139,139,141,147,150,151,149,145,145,149,158,147,64,57,163,173,174,175,176,169,83,52,49,52,53,50,47,60,103,144,140,135,118,108,117,114,109,126,129,132,136,137,140,143,144,141,143,141,138,140,142,107,51,62,144,135,119,110,122,125,91,55,49,49,55,51,46,48,85,157,154,147,139,132,128,121,116,87,88,90,96,89,94,104,109,108,111,103,101,84,81,76,51,73,142,138,140,143,150,156,137,57,48,46,52,51,46,43,57,126,154,146,139,137,133,129,123,88,90,97,103,105,116,127,133,138,142,150,157,81,129,80,49,106,183,181,181,182,180,181,172,68,47,44,48,51,46,41,41,77,149,147,140,101,80,73,64,144,149,155,159,159,162,163,163,164,165,172,133,90,145,66,47,130,183,179,181,182,181,182,169,66,48,45,47,51,46,41,37,42,118,150,138,62,16,12,12,144,149,152,157,159,160,160,163,163,163,163,84,143,122,57,51,163,187,188,194,190,190,194,153,60,46,46,44,47,45,39,35,34,74,147,136,67,35,15,15,147,151,155,158,162,162,163,166,168,173,129,92,177,98,74,76,95,92,105,141,179,188,187,111,54,49,44,42,46,44,38,34,32,42,126,134,62,49,17,14,148,152,157,159,162,165,168,170,162,153,97,104,107,84,76,61,41,39,44,58,78,99,99,69,60,52,43,41,44,44,38,34,30,27,80,130,58,56,26,14,148,153,156,159,162,166,156,132,97,88,85,74,73,76,64,44,42,40,36,37,40,40,49,55,58,47,40,40,41,41,37,33,29,26,42,108,54,55,41,15,146,150,155,158,162,139,90,72,61,64,57,49,51,48,45,37,42,64,115,51,35,38,37,46,46,42,38,37,40,39,36,32,29,27,25,63,52,51,51,20,140,143,147,152,147,83,61,55,54,52,48,47,47,39,36,33,42,53,178,168,99,46,37,42,39,39,38,36,37,37,34,31,27,24,21,30,50,47,50,32,140,143,146,153,115,56,54,52,54,49,47,49,50,39,35,32,44,39,149,185,183,148,68,37,38,37,38,35,33,33,33,31,26,22,22,23,34,46,47,44,142,147,151,150,76,52,53,48,45,40,43,47,46,37,32,40,42,34,134,179,170,172,160,117,104,68,39,35,34,31,32,29,24,22,23,23,22,33,43,45,137,142,150,131,52,53,47,39,38,36,37,45,43,37,32,72,36,32,84,130,160,157,157,159,158,147,98,45,31,29,29,27,25,24,23,22,19,26,37,38,111,112,114,82,48,52,46,37,33,32,32,41,40,34,31,74,34,29,35,58,117,118,118,116,110,110,115,108,93,52,28,26,25,24,23,21,19,22,37,38,100,102,107,57,51,50,46,37,31,31,32,39,38,30,30,78,34,28,37,44,109,140,130,129,153,134,125,126,121,101,43,25,25,24,23,21,19,20,32,39,120,132,114,50,50,48,44,35,30,32,34,39,36,28,27,34,35,29,38,35,47,155,154,152,119,131,150,148,145,150,101,26,24,24,24,22,19,18,26,38
a,116,125,134,141,139,139,148,168,169,174,164,171,185,188,187,189,190,188,178,174,175,172,169,167,174,184,191,198,202,204,203,199,198,195,190,179,161,125,100,87,146,151,157,162,159,155,169,185,182,174,171,164,165,161,156,155,159,163,162,169,186,195,201,206,211,215,216,218,218,217,213,208,204,199,194,183,165,135,110,94,144,143,142,143,143,146,161,175,183,183,191,154,154,157,160,165,177,188,192,198,214,217,219,220,221,220,221,220,216,214,211,205,200,195,189,178,160,135,112,97,115,117,119,122,125,130,130,148,176,179,172,165,166,171,174,181,190,196,196,200,214,216,219,222,221,218,219,217,216,213,208,202,195,189,182,172,156,135,114,100,131,136,143,148,152,129,110,129,160,157,154,161,167,170,169,175,188,195,195,198,215,217,218,221,218,217,214,213,213,211,205,199,191,184,176,166,152,132,115,103,143,146,149,152,150,135,111,121,146,155,155,160,168,173,173,174,181,192,193,197,214,217,215,216,217,216,213,211,211,207,200,193,186,179,171,161,148,130,116,105,142,145,148,150,142,130,119,129,152,159,158,162,169,175,179,179,183,190,192,197,213,216,214,214,214,213,211,208,205,202,195,188,181,173,166,156,145,129,115,107,141,144,148,149,140,124,122,147,162,163,160,163,172,178,180,182,187,191,190,196,210,212,214,213,210,209,208,204,203,199,192,184,176,169,161,153,141,128,114,106,140,143,146,145,138,127,127,145,161,165,166,156,168,168,183,184,190,193,194,199,205,207,208,208,207,205,204,201,198,194,187,179,171,164,156,148,139,126,114,106,139,142,145,142,134,128,134,149,162,161,129,75,77,78,113,120,191,195,197,200,202,203,203,202,203,201,198,197,193,189,182,174,167,160,153,144,136,125,113,107,137,142,143,139,133,128,135,148,164,121,48,53,49,58,68,103,180,193,194,200,200,202,201,200,198,197,194,192,187,183,177,170,163,156,148,140,132,122,113,107,136,141,141,137,132,131,135,148,153,81,47,51,49,51,54,95,178,191,193,199,198,199,200,199,196,193,190,188,184,179,174,167,161,153,146,138,129,121,113,106,136,140,138,135,132,133,136,149,127,53,44,47,44,42,44,88,179,189,195,201,199,195,197,196,195,193,189,187,183,177,171,164,159,152,142,136,128,120,113,106,135,137,137,135,133,134,136,145,104,47,37,39,36,35,39,95,187,187,167,159,186,199,197,194,193,191,189,186,182,177,170,162,155,150,141,134,127,119,112,106,134,137,136,135,136,136,139,130,77,45,34,34,30,31,51,104,136,94,60,56,90,104,131,187,192,187,173,164,145,95,130,135,155,146,139,131,124,116,110,105,134,136,135,132,136,137,140,107,60,51,40,38,44,55,84,90,62,46,83,154,172,132,59,101,187,173,115,83,61,50,68,66,137,146,137,130,124,116,109,104,133,136,136,130,132,136,138,92,61,57,52,53,57,59,59,54,49,115,188,193,191,195,141,51,130,160,84,71,51,49,59,39,89,146,135,127,122,115,109,104,132,135,139,138,134,134,133,82,58,58,56,54,55,54,49,51,132,187,184,185,185,187,186,88,65,117,98,52,38,35,35,30,48,127,135,127,121,115,110,103,131,134,138,141,143,139,129,68,55,55,54,53,53,49,53,135,180,178,181,183,183,184,187,146,51,69,81,51,39,30,28,31,45,106,134,126,120,114,108,102,130,133,137,140,143,145,132,60,49,50,52,52,47,55,140,177,173,176,178,180,180,180,181,175,76,48,42,53,41,28,26,40,52,93,134,125,119,113,106,101,130,134,134,138,141,147,109,47,48,48,49,48,49,130,170,170,172,173,175,176,177,177,175,178,118,46,47,51,39,30,31,50,56,99,132,125,117,109,105,101,129,131,135,137,141,125,68,42,48,47,48,45,118,166,162,165,168,171,170,173,173,173,172,173,155,60,48,39,33,36,47,51,48,107,131,120,112,110,104,97,128,130,134,136,137,66,36,41,47,46,42,86,158,159,161,163,166,167,167,168,169,170,171,169,170,96,46,43,42,49,53,46,44,108,120,95,93,97,91,86,127,129,132,135,126,51,33,37,41,39,48,128,150,154,162,163,168,170,170,171,173,172,170,167,165,126,46,44,45,49,50,40,56,131,132,113,104,112,109,104,123,126,130,135,89,37,37,42,39,31,72,138,138,137,136,143,136,141,135,119,110,121,121,114,127,130,58,41,42,46,42,33,77,153,143,134,128,124,118,113,84,86,89,92,57,39,41,44,39,33,70,99,83,80,96,122,124,138,140,139,141,147,151,150,152,157,89,38,40,40,36,28,81,153,143,135,134,130,125,119,84,88,89,64,46,42,42,40,33,68,146,153,76,138,173,172,174,174,177,177,177,176,174,173,171,174,135,43,39,37,35,29,71,152,143,136,99,80,72,65,141,150,114,54,45,43,43,37,37,126,172,127,86,170,170,171,173,175,178,180,181,180,178,179,177,171,163,61,38,37,36,32,43,133,145,133,58,15,12,11,142,132,63,46,43,42,40,33,70,161,161,83,137,176,175,179,183,185,187,188,186,187,187,184,182,178,174,85,37,37,34,33,31,113,147,131,64,32,14,14,144,87,47,44,43,41,38,35,126,173,125,90,178,179,183,185,187,188,189,189,186,185,183,182,179,177,176,117,37,38,36,35,30,103,146,127,59,47,15,14,113,53,47,43,41,38,33,68,165,163,78,140,181,179,183,185,186,188,189,188,185,183,182,180,177,174,172,143,44,37,36,36,30,83,143,123,55,54,23,13,66,47,46,43,41,38,34,123,175,118,89,175,177,180,182,183,185,186,188,188,184,182,181,178,176,171,167,155,56,35,35,34,31,64,139,121,52,53,38,12,50,46,45,42,40,35,64,164,160,74,139,177,177,178,180,182,182,182,185,186,182,181,178,175,172,167,164,162,71,33,34,30,31,49,128,118,50,49,48,17,48,43,42,41,39,34,113,175,111,84,170,173,175,175,178,178,180,181,180,182,179,177,176,173,169,167,165,165,100,32,33,29,29,36,114,116,48,47,50,30,45,42,41,40,36,49,147,155,69,131,173,173,175,173,174,177,178,179,178,176,175,174,173,170,168,166,160,159,121,34,32,29,28,30,96,112,49,51,47,42,42,40,40,38,33,79,164,104,86,167,170,173,172,172,173,178,177,179,176,171,169,167,164,162,160,151,157,157,138,41,31,29,28,27,72,112,54,44,42,43,41,38,37,37,37,118,148,66,136,173,170,170,170,170,170,170,172,174,170,162,158,156,154,152,150,146,139,134,123,45,30,28,26,23,50,113,58,40,38,38,38,37,36,35,42,107,94,72,121,127,124,123,122,121,120,119,118,119,118,118,119,117,115,112,107,107,108,103,99,51,30,29,25,23,32,103,68,41,42,38,37,37,35,34,66,131,134,147,134,133,138,139,141,140,139,139,141,141,138,136,137,136,129,126,151,132,123,122,120,64,30,29,25,23,24,84,82,41,42,39,36,34,34,35,98,141,140,150,140,141,147,147,148,148,151,155,137,104,130,160,160,157,150,148,116,131,148,144,146,93,29,28,24,22,21,59,91,41,40,39
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4,125,52,51,52,20,141,144,147,152,125,76,64,57,58,53,46,46,41,38,33,42,52,172,144,66,33,34,40,43,40,39,37,39,38,37,33,30,25,21,39,107,52,48,52,33,140,142,147,143,79,56,54,57,53,49,47,50,40,37,33,42,38,144,191,181,129,50,33,37,37,37,36,36,36,34,32,29,24,22,23,49,54,52,48,44,140,144,152,114,56,54,52,51,49,47,49,50,40,35,31,40,34,128,186,175,178,157,87,63,45,33,34,33,34,33,29,26,23,23,22,21,39,44,44,44,137,142,145,76,51,49,46,43,38,40,49,46,40,32,46,39,32,109,169,163,158,158,160,156,138,71,30,26,29,29,28,24,24,23,22,20,26,40,39,38,109,110,102,53,50,46,38,34,33,33,44,42,37,30,55,39,33,42,69,122,123,121,120,117,114,114,106,85,38,26,27,24,24,23,23,20,22,38,42,39,102,105,74,47,49,47,37,31,33,33,40,40,33,27,70,40,30,34,48,96,138,140,132,128,154,134,128,126,96,42,25,25,24,23,23,20,20,32,41,40,120,124,68,48,47,44,36,30,32,34,40,38,31,29,37,36,28,35,40,22,95,167,154,154,119,132,152,148,152,113,27,25,24,24,23,20,19,26,38,39
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,30,49,20,141,144,148,151,155,161,166,172,118,54,52,49,41,34,32,33,30,38,41,38,46,32,53,176,156,60,26,29,30,30,29,30,31,28,25,23,20,21,42,34,141,143,147,151,156,157,163,157,73,56,53,48,42,33,29,30,30,36,37,39,109,31,33,63,146,164,82,59,35,25,28,28,29,28,24,22,20,19,25,40,141,146,149,153,157,159,166,111,64,57,52,47,40,31,30,30,31,36,34,52,108,29,29,35,114,161,167,162,137,69,29,26,25,25,23,22,19,19,18,24,137,143,148,154,156,162,147,71,76,54,48,43,35,29,29,29,30,35,32,62,86,27,29,36,118,150,140,132,129,121,80,30,21,24,23,22,22,19,17,18,110,111,111,113,116,124,96,74,70,51,47,42,36,29,29,30,29,33,36,35,38,31,31,35,82,113,112,109,105,106,99,101,57,20,22,21,22,19,18,18,101,104,113,119,128,134,137,138,59,48,46,41,35,29,29,30,29,32,32,27,32,32,33,28,117,138,127,125,120,118,115,116,99,30,20,21,21,19,17,17,120,129,136,138,142,142,144,119,50,48,44,39,33,29,29,31,30,34,31,28,32,33,31,77,114,132,153,148,146,145,141,138,139,69,17,21,20,20,16,16
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