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111,119,111,99,99,106,122,143,161,177,193,191,165,130,110,105,113,151,178,184,102,108,105,106,126,143,144,140,134,135,141,148,144,129,112,103,139,169,184,182,84,97,105,113,136,154,145,123,127,128,129,124,111,102,106,116,140,161,166,160,95,117,133,131,131,145,140,117,93,100,106,106,102,109,133,157,136,149,147,137,129,143,154,142,130,144,151,130,110,108,114,129,144,156,162,168,149,157,148,134,138,127,125,117,114,142,156,135,149,153,163,172,171,161,154,152,146,154,144,130,129,102,95,95,98,134,162,147,135,148,162,166,157,146,149,159,142,153,148,137,133,106,104,106,103,139,179,176,160,152,146,149,156,161,167,172,159,172,168,157,138,121,102,101,118,143,166,181,155,156,159,161,166,175,188,195,190,188,176,156,142,131,113,113,129,134,130,133,155,156,155,156,160,166,172,177,175,174,163,145,127,126,115,126,153,154,138,143,145,144,142,143,147,153,157,159,142,143,140,132,125,130,123,133,162,158,144,154,150,144,136,132,133,136,140,141,128,129,129,129,107,120,135,157,178,168,154,163,165,156,139,125,118,117,120,123,116,110,104,101,104,120,160,200,206,189,171,164,151,142,127,111,104,106,115,121,121,108,95,91,126,123,163,199,185,162,146,124,127,124,119,109,105,112,128,140,152,137,124,122,101,79,111,145,129,121,122,100,127,129,127,121,116,123,140,156,161,145,132,133,89,97,109,111,121,118,112,150,143,116,111,133,143,129,129,144,141,134,121,109,88,101,112,111,123,118,100,119,121,104,109,140,160,153,147,150,142,132,118,106,127,144,154,148,164,161,125,118,128,123,132,162,190,197,190,182,169,157,142,134,151,171,179,168,189,193,142,115,132,135,141,157,183,203,203,193,175,158,144,142,0
175,121,106,115,113,134,142,108,104,107,105,95,84,79,77,76,94,139,149,187,172,129,112,122,128,138,126,88,94,103,101,86,74,68,61,53,64,100,113,154,155,140,131,133,139,135,116,93,125,130,120,92,77,75,65,50,41,57,65,101,142,157,151,139,135,126,120,128,168,175,164,134,119,112,89,57,54,49,47,64,159,175,158,130,127,121,123,144,153,167,171,160,157,153,121,81,75,59,53,49,188,184,149,118,121,120,113,118,90,103,110,111,130,153,154,140,113,103,111,87,184,172,141,117,118,116,98,84,50,55,54,53,72,109,144,160,142,153,189,166,156,154,141,124,118,112,91,70,47,52,49,42,44,66,100,123,112,145,210,197,165,159,139,110,88,75,61,46,35,48,60,59,48,46,61,77,67,106,149,180,180,156,114,72,46,37,37,36,41,37,42,53,48,36,44,62,55,105,145,158,183,138,77,33,14,16,26,36,40,30,39,61,61,46,53,78,99,148,176,170,182,122,54,20,17,22,27,32,39,36,50,78,89,87,100,125,179,205,209,194,193,126,54,24,26,29,22,16,36,36,52,90,132,159,169,171,217,211,193,180,198,141,72,35,29,30,24,17,32,28,46,105,179,225,222,201,199,179,148,137,201,167,114,63,36,31,32,33,38,34,64,134,200,220,203,182,160,151,122,97,212,200,158,97,46,29,35,40,52,57,96,159,187,169,142,132,126,136,112,74,202,219,208,156,102,75,65,59,76,89,171,173,136,125,136,107,99,79,56,62,218,226,218,187,155,137,128,122,129,146,204,176,136,121,114,72,58,45,34,48,212,208,203,197,190,179,170,167,162,167,200,170,144,111,86,56,48,46,48,74,198,184,180,190,194,182,172,171,167,147,168,167,161,104,65,66,65,68,80,113,1
113,122,132,122,122,165,190,171,213,209,206,207,206,205,207,211,203,203,203,202,100,94,89,83,86,122,170,195,222,211,202,203,207,208,207,207,205,206,206,206,100,89,87,95,102,111,159,221,231,214,198,199,206,210,208,204,208,209,209,210,107,102,97,110,116,107,145,218,235,217,201,198,204,208,208,206,207,208,210,211,139,129,109,102,104,105,147,219,233,220,207,202,202,203,206,211,207,209,211,213,158,145,122,105,98,109,158,215,227,220,212,207,203,202,207,214,208,210,213,216,151,134,123,107,86,97,151,200,224,217,212,210,207,204,208,215,211,213,217,220,166,140,128,112,79,92,158,211,222,215,210,211,211,208,209,212,214,216,221,224,181,164,142,111,81,97,155,203,217,219,219,215,209,208,212,218,216,227,218,208,188,171,152,118,82,93,150,198,215,213,213,215,216,218,221,222,205,220,207,185,198,187,169,130,83,85,143,197,210,207,206,209,215,219,218,215,215,221,197,164,210,203,190,145,85,78,139,202,203,202,202,207,213,216,215,212,214,195,157,127,218,215,207,163,95,77,136,198,199,199,201,203,205,205,205,205,186,148,115,107,219,219,218,184,118,88,126,175,189,187,183,177,170,163,160,158,129,99,96,118,217,214,221,204,147,105,112,136,154,147,137,129,124,117,111,105,93,86,112,144,213,209,220,217,170,119,102,103,110,100,91,91,97,99,95,88,119,129,165,187,216,220,226,224,208,174,135,109,111,114,115,111,111,117,129,140,162,176,192,199,207,211,220,227,224,208,186,170,163,165,165,160,157,161,171,182,186,194,203,205,206,209,213,221,226,222,214,207,196,196,195,189,185,186,194,202,208,209,210,209,209,208,208,212,218,219,217,213,217,217,214,208,204,204,210,215,213,211,209,209,0
66,53,69,90,116,127,109,107,122,136,142,130,135,158,145,100,108,123,134,127,91,94,116,119,121,126,119,126,130,129,135,140,138,137,129,115,108,113,129,148,111,109,121,114,113,123,123,137,145,141,143,147,138,127,126,132,126,132,144,157,162,124,109,112,127,137,126,132,122,131,128,118,118,123,131,140,119,141,157,154,202,138,109,118,132,120,89,90,73,80,73,70,85,98,113,135,103,116,133,144,180,129,114,117,109,78,46,55,58,51,38,49,69,63,74,115,138,114,105,121,145,126,126,111,85,61,48,67,59,59,45,47,60,45,45,83,144,133,118,107,121,120,123,89,58,51,54,77,38,65,55,37,47,45,41,59,80,130,148,118,130,127,126,88,58,61,52,42,59,58,52,43,41,43,38,30,52,93,115,118,137,128,123,82,53,56,50,44,61,61,55,47,46,48,45,39,44,72,98,113,140,127,123,86,57,60,54,50,57,56,50,44,44,48,48,45,44,57,90,118,131,118,117,89,61,61,52,47,51,49,45,42,42,46,49,51,52,60,101,137,125,107,103,79,54,52,44,43,51,49,46,45,46,49,54,59,54,70,115,147,130,106,99,75,52,49,44,48,48,46,44,46,46,48,52,60,49,77,117,136,127,103,102,87,68,61,53,57,48,45,45,48,47,46,52,59,53,91,115,116,108,91,101,99,83,72,57,56,53,51,51,56,54,51,55,64,64,106,116,101,97,92,93,98,97,86,72,64,54,47,62,65,61,57,53,76,79,106,122,112,105,104,106,107,102,92,89,91,69,61,68,61,57,67,76,101,98,111,117,109,110,111,112,106,94,85,92,104,88,86,90,74,72,95,111,133,123,119,114,111,116,115,111,100,84,74,82,96,95,103,112,90,89,118,133,148,138,125,116,119,1
178,157,145,156,142,175,176,149,114,86,77,74,55,51,91,134,133,127,106,148,170,161,147,155,153,189,172,131,89,64,61,69,62,61,90,123,151,146,123,148,167,173,159,162,170,194,151,98,64,46,54,75,72,64,73,85,110,132,146,172,169,185,174,179,177,171,110,64,48,44,65,93,91,74,66,61,60,103,152,185,164,179,177,188,165,131,67,41,47,52,79,105,101,88,82,77,57,91,140,151,158,160,161,175,138,101,54,39,55,61,84,99,93,86,87,86,52,69,116,114,161,148,141,149,111,97,68,47,50,58,80,95,90,87,87,82,44,45,93,90,169,145,130,130,96,105,88,54,32,45,76,99,102,102,98,87,62,47,81,68,159,151,117,110,96,116,101,90,65,45,66,103,112,115,114,95,71,62,104,75,172,156,138,136,127,146,157,163,114,58,62,88,84,108,132,107,76,72,109,78,169,132,120,113,119,141,184,195,154,75,60,76,68,111,150,118,81,85,118,84,187,148,141,126,138,155,188,174,157,94,64,71,83,120,140,113,89,105,133,98,170,166,176,150,157,161,166,129,147,121,77,66,97,111,98,89,88,117,141,108,158,187,195,166,169,183,187,167,152,150,94,59,85,83,58,66,73,113,130,102,143,174,157,139,156,184,179,181,162,161,111,64,64,60,49,61,64,107,117,88,168,190,155,157,188,209,170,168,166,157,121,74,51,53,62,67,69,114,115,84,179,199,189,155,181,219,194,171,173,163,155,89,55,69,58,43,67,117,130,112,170,185,179,150,172,202,180,162,180,186,188,123,69,62,46,32,70,121,135,118,162,169,169,151,166,185,164,153,164,194,213,162,91,70,52,43,59,112,128,110,164,162,167,159,165,174,156,151,142,189,217,184,106,80,66,63,63,117,136,119,1
206,211,213,210,207,208,207,205,204,205,206,207,206,208,209,210,206,206,204,202,206,211,213,210,207,208,207,205,205,205,206,206,205,205,205,206,204,199,192,187,205,210,213,210,207,208,207,205,204,205,206,206,207,206,204,203,194,185,173,165,205,210,212,208,207,208,208,205,203,204,206,207,208,207,203,200,184,175,163,156,204,210,211,208,206,208,207,205,205,204,205,206,205,199,192,186,176,172,166,164,203,209,211,208,206,208,207,204,208,205,204,202,198,189,176,167,165,166,169,170,202,207,211,208,206,208,208,204,208,206,203,201,197,186,170,159,160,166,174,177,201,207,210,208,206,208,208,204,205,204,203,203,199,190,175,163,167,176,186,188,196,203,206,207,209,211,209,205,206,207,206,204,197,191,184,180,182,185,188,192,192,199,204,206,209,212,210,206,206,206,204,201,197,192,186,185,190,192,195,198,188,195,201,205,208,213,211,206,208,206,201,197,194,191,192,191,199,200,202,205,185,192,200,204,209,212,210,206,209,205,200,194,193,194,197,200,207,208,208,210,183,191,198,201,206,210,210,205,210,206,200,196,194,198,203,205,210,210,211,211,178,186,192,196,201,208,209,206,210,206,202,199,198,201,206,210,211,211,210,210,170,176,182,187,196,205,209,208,209,207,205,203,203,205,209,211,211,211,211,210,163,169,176,181,191,203,210,210,209,208,207,206,206,207,210,211,211,210,210,210,153,160,169,179,189,197,204,210,210,210,210,211,212,212,210,208,206,207,208,209,145,152,162,173,184,194,201,208,209,209,209,211,213,213,211,210,206,207,208,209,135,143,153,166,177,189,198,205,204,204,205,208,210,212,210,209,206,207,208,209,130,138,148,160,172,184,194,202,197,198,199,202,205,208,207,206,206,207,208,209,0
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79,88,93,84,68,59,63,71,88,67,61,66,63,64,67,65,67,85,106,148,83,93,100,96,84,74,71,72,60,56,63,66,55,54,69,78,79,81,89,132,80,91,103,107,103,93,86,82,76,75,89,93,82,79,85,85,82,75,76,107,67,82,100,109,108,101,98,97,111,102,107,123,133,137,123,98,85,80,81,94,62,79,98,103,97,92,94,99,109,98,103,126,154,177,168,138,117,104,97,94,67,82,96,96,86,80,85,94,95,100,114,127,146,176,191,181,166,135,111,92,67,78,90,91,85,83,91,99,100,126,152,154,151,172,196,197,187,157,135,110,62,70,81,88,91,96,104,110,107,143,180,182,170,181,198,197,179,167,166,142,79,73,82,92,94,104,122,128,128,140,168,194,199,189,187,195,176,177,178,150,83,77,81,87,90,103,127,141,134,141,160,181,194,197,197,200,176,171,170,147,92,90,90,90,94,107,133,156,149,152,159,173,194,211,212,206,181,166,163,151,93,100,102,102,103,109,128,153,156,160,159,162,183,210,218,210,186,164,161,157,82,100,108,110,112,106,113,136,156,156,145,136,154,191,213,216,183,159,157,155,81,104,112,116,123,112,109,133,159,153,137,124,140,178,211,223,179,157,156,151,86,110,111,114,128,122,120,147,165,160,148,144,158,185,206,214,188,172,169,158,87,109,104,103,124,124,127,160,166,163,162,168,181,192,194,191,203,190,187,172,102,114,106,115,143,134,119,138,152,161,169,171,173,173,160,144,166,181,192,191,98,110,104,112,141,138,120,127,149,158,162,154,149,151,150,145,155,166,173,171,92,108,104,107,135,142,123,116,135,148,154,143,134,137,144,146,136,140,141,139,89,109,109,104,125,140,128,113,117,135,149,145,140,143,147,148,126,123,119,117,0
166,164,154,141,138,145,148,147,149,146,132,111,99,105,114,118,133,149,161,159,160,156,149,145,151,160,161,153,152,147,135,119,114,118,121,120,115,126,137,140,149,143,139,144,157,165,159,148,145,142,137,136,143,152,154,151,134,133,129,123,142,139,138,144,152,154,144,133,139,140,141,147,158,168,175,176,150,146,139,133,148,149,151,154,153,148,142,138,147,148,151,153,154,157,164,170,173,175,179,180,161,162,167,168,164,159,160,166,166,166,166,166,162,160,163,171,182,191,205,216,168,168,169,172,170,169,178,192,189,185,186,189,187,181,181,185,166,172,187,205,169,164,163,166,167,171,185,199,210,204,201,205,204,196,189,187,188,180,178,186,147,141,143,156,171,183,194,203,204,207,211,209,200,192,193,201,208,215,209,189,156,157,158,158,164,176,189,194,203,204,207,207,198,188,186,190,207,201,192,184,174,180,180,172,166,167,171,173,181,184,189,196,196,192,192,196,181,168,166,179,183,180,179,178,167,151,143,143,144,145,151,161,168,170,174,179,173,167,172,189,189,171,166,177,172,151,143,152,149,146,145,149,149,148,150,154,162,167,172,176,169,146,136,148,151,141,144,158,156,153,151,150,145,138,138,143,137,145,152,155,138,130,122,120,120,122,128,134,132,133,137,139,133,127,128,134,143,140,145,160,152,163,162,144,136,143,143,134,129,134,143,148,142,133,134,140,161,140,137,157,179,204,197,161,144,149,155,158,156,166,157,155,137,152,155,165,154,126,113,115,157,175,169,145,137,138,136,136,170,177,161,150,126,139,142,153,131,111,111,126,139,146,141,134,136,130,119,118,155,165,153,147,127,143,145,152,140,122,126,144,137,138,134,137,142,129,116,118,132,145,141,147,140,161,154,151,141,119,117,130,0
201,160,182,169,167,146,143,162,138,101,66,96,99,107,132,178,201,233,230,208,186,165,162,165,159,138,146,147,75,70,57,89,88,93,121,170,199,232,237,224,170,172,148,165,150,134,140,116,52,71,71,112,110,102,119,157,170,203,222,223,165,176,159,173,148,142,120,85,53,70,73,135,136,111,116,138,140,165,189,201,167,174,185,183,155,159,102,68,52,63,75,159,151,117,133,150,138,147,168,184,174,175,201,186,161,161,98,62,49,58,83,167,137,107,152,165,140,134,151,173,185,189,202,182,164,142,103,58,41,44,67,143,98,94,163,151,135,116,131,161,196,204,197,178,162,118,109,53,50,44,59,129,90,116,196,156,135,108,119,148,185,187,170,143,125,144,134,53,35,43,53,95,102,131,192,157,142,156,141,167,159,168,158,138,127,152,146,66,39,39,41,79,92,125,184,155,175,183,159,176,150,163,162,148,138,160,147,63,40,34,30,63,80,119,176,155,169,172,140,149,154,165,167,161,152,168,147,57,42,35,31,55,73,112,165,157,169,172,139,147,159,159,155,154,149,164,147,66,48,43,41,55,67,101,146,151,161,170,141,151,168,153,140,138,128,135,128,66,59,53,52,56,65,93,128,144,160,177,156,167,168,149,141,143,116,103,101,58,69,58,56,57,70,100,127,148,172,199,188,205,155,143,146,156,121,93,90,56,74,59,55,56,78,112,136,159,138,172,170,192,152,150,150,135,127,110,70,61,61,62,60,62,85,120,145,152,130,149,182,198,149,149,147,128,118,104,70,66,67,63,63,71,96,128,154,166,137,152,183,200,147,148,144,118,104,94,71,75,73,67,72,94,119,137,154,168,144,154,179,197,145,149,143,110,92,87,74,84,75,69,84,120,143,142,143,153,145,150,173,193,1
183,201,205,188,181,178,149,112,143,146,158,152,140,159,183,177,185,193,199,196,177,195,205,197,186,181,168,152,156,145,149,157,153,149,161,171,161,172,184,189,181,185,193,196,192,181,175,174,155,149,145,152,158,150,147,159,151,159,169,178,200,181,176,190,193,175,158,156,139,158,149,138,150,156,150,153,158,158,160,162,211,188,179,189,183,157,136,134,134,155,150,135,145,151,149,157,167,162,156,152,210,203,196,188,165,138,129,135,147,145,143,148,150,140,143,161,178,171,162,156,211,208,195,170,144,133,134,140,150,138,143,154,150,145,148,152,170,168,164,160,216,208,181,146,130,135,140,136,142,139,148,150,145,160,163,139,144,149,154,157,212,190,155,106,132,135,137,162,148,148,145,143,144,150,156,160,146,144,149,157,202,180,153,114,142,142,136,152,136,144,151,150,146,144,149,156,158,155,158,164,196,171,148,116,145,143,133,141,123,135,146,145,139,140,153,166,158,154,153,158,191,160,139,111,138,137,128,134,137,141,142,135,129,135,157,175,167,163,162,167,172,142,132,112,134,131,125,127,155,150,140,128,123,132,150,165,166,166,167,169,148,124,132,122,139,130,124,124,135,129,122,117,119,128,139,147,160,164,167,166,142,121,139,131,136,125,124,127,114,112,108,107,112,120,131,137,160,170,177,176,152,129,145,133,130,118,124,132,126,122,116,109,108,114,125,133,144,158,169,169,144,132,121,121,126,132,139,145,150,139,122,109,106,115,129,140,145,153,159,160,119,114,113,121,130,139,149,158,151,147,137,126,121,123,134,142,140,147,151,150,107,109,115,124,129,135,145,155,149,152,152,145,135,131,136,142,138,142,144,141,107,111,119,125,125,125,135,148,145,153,160,154,140,132,134,139,139,143,143,139,0
142,144,146,147,145,145,144,145,144,145,144,145,146,147,148,149,144,143,141,139,143,146,148,150,148,146,143,141,143,144,145,146,146,145,143,142,137,137,136,136,135,139,144,148,148,144,138,135,137,139,141,143,142,139,135,134,128,129,130,130,120,124,131,138,140,138,132,128,126,130,134,137,138,135,131,128,127,128,129,131,104,107,113,122,128,129,126,123,121,124,129,134,136,135,133,130,133,133,134,135,98,97,99,104,112,116,116,115,115,117,121,126,130,133,133,133,134,133,132,131,98,93,88,88,93,98,101,100,100,101,103,106,110,116,119,122,121,119,116,113,100,91,80,76,79,85,88,87,85,85,85,87,91,97,102,106,109,106,101,96,113,96,81,77,79,77,74,73,78,76,73,72,74,77,81,84,91,91,90,87,115,99,85,82,82,80,76,74,71,70,70,72,73,76,77,78,81,83,84,83,117,103,90,87,87,83,77,76,71,71,72,73,74,76,77,77,80,82,85,86,117,105,94,92,90,85,79,76,78,77,77,76,77,77,77,79,82,85,88,90,114,104,95,92,91,86,80,79,85,84,80,78,78,78,79,80,79,83,88,91,112,102,95,94,93,88,84,85,85,85,84,83,82,82,83,84,84,89,97,102,110,102,96,95,95,92,91,94,89,92,95,97,99,98,96,95,95,101,110,116,110,102,96,96,95,94,95,98,95,100,108,114,117,116,112,109,103,109,116,121,114,106,99,100,101,99,99,100,100,111,119,123,126,129,128,125,121,119,117,117,115,107,102,104,105,104,105,107,112,120,127,129,132,135,134,131,128,126,124,124,115,109,106,109,111,111,113,117,124,131,135,134,135,138,138,136,133,131,129,128,114,109,108,111,115,116,119,126,130,135,136,133,132,135,137,135,132,130,128,128,1
170,123,151,201,178,153,171,185,173,160,177,182,154,149,160,150,160,147,133,130,164,121,150,200,180,159,183,206,175,167,166,163,162,171,155,116,119,119,119,119,159,122,149,197,180,157,176,201,177,176,166,163,174,168,135,104,110,126,144,152,162,130,152,194,180,152,161,176,181,189,181,176,167,128,107,132,149,168,190,200,165,139,150,179,172,156,161,170,174,193,181,158,142,114,125,184,212,221,231,235,153,138,140,150,150,152,164,172,138,167,151,120,132,160,192,233,234,233,232,231,141,144,144,136,130,137,148,152,115,137,126,119,164,215,237,243,212,208,204,203,143,161,165,144,125,126,130,127,124,128,128,153,204,236,231,219,218,214,209,205,154,171,159,154,132,130,116,125,129,148,138,179,240,235,214,217,210,208,206,208,163,180,165,144,117,135,129,119,161,175,168,199,238,225,212,214,213,210,207,207,172,175,165,151,115,138,141,129,169,176,179,210,228,217,219,218,216,212,207,205,176,157,156,168,128,137,149,154,165,160,174,214,220,212,223,214,211,207,202,199,173,155,153,162,124,140,162,171,175,160,174,217,221,209,212,191,199,198,196,194,169,171,156,138,113,157,178,172,179,159,167,213,222,205,197,171,185,188,192,194,171,181,154,132,130,180,185,170,173,155,157,204,222,203,190,168,173,180,189,196,176,176,148,148,161,196,184,174,176,160,158,203,225,203,187,171,168,178,191,200,188,181,146,174,170,208,173,158,169,151,158,196,223,212,184,167,159,179,191,195,187,186,165,180,175,197,170,155,166,151,161,198,224,210,183,167,166,186,196,199,180,186,185,184,183,186,173,158,161,151,165,202,224,208,181,167,170,188,195,196,173,181,193,179,189,182,182,165,158,151,168,206,225,206,179,167,175,191,194,190,0
209,209,209,209,209,209,209,209,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,207,207,207,207,207,207,207,207,208,208,208,208,208,208,208,208,208,208,208,208,207,207,207,207,207,207,207,207,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,209,209,209,209,209,209,209,209,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,0
175,136,115,133,156,152,139,135,144,146,141,133,136,149,148,140,119,120,123,129,152,141,140,151,154,143,138,144,145,143,132,122,125,136,136,127,122,126,132,137,128,138,149,153,143,130,129,135,139,141,136,125,124,137,147,150,132,137,142,144,124,133,141,141,135,131,127,123,123,131,134,125,120,132,152,165,148,151,148,139,131,140,145,139,137,139,142,140,144,143,139,139,147,161,169,173,162,158,146,128,135,148,156,148,137,139,153,165,169,155,146,162,191,209,201,186,173,166,147,123,142,152,158,153,139,132,145,163,152,144,144,167,197,210,199,184,189,179,155,131,156,155,156,155,145,133,135,145,142,151,167,184,193,192,188,185,202,191,166,141,167,139,121,127,131,125,130,146,150,159,169,173,175,178,185,191,192,180,163,154,164,137,121,132,146,148,148,151,146,158,166,166,166,178,190,197,176,169,160,157,149,138,132,139,151,156,156,156,166,179,181,170,165,177,190,192,164,162,162,162,125,135,142,139,134,138,147,154,172,187,190,175,167,175,181,178,165,164,163,163,122,134,142,137,132,137,148,154,152,172,182,177,174,179,178,171,168,165,159,157,148,146,146,150,161,171,173,170,162,174,187,192,191,188,178,170,161,159,155,153,164,156,156,169,185,192,190,186,183,183,189,198,196,183,169,161,153,156,161,164,156,155,162,176,183,183,184,188,181,171,171,183,183,167,151,147,149,158,170,179,172,160,172,191,193,184,176,168,175,168,164,166,161,152,144,145,144,162,175,173,139,138,161,185,183,166,151,138,162,169,176,172,156,144,150,166,165,167,163,152,132,128,144,158,152,146,148,147,159,168,175,169,151,142,152,169,169,159,143,132,139,135,141,144,137,144,167,180,172,167,159,154,150,148,148,149,149,139,127,125,0
72,76,76,71,72,80,87,89,63,55,52,54,50,43,44,51,54,58,53,53,79,84,83,76,70,71,71,69,46,41,40,45,46,45,52,63,75,81,75,65,74,83,88,83,71,60,47,40,33,28,28,34,36,38,52,68,73,93,93,78,68,80,91,90,76,55,36,24,31,25,23,24,24,29,46,66,75,109,118,104,76,84,90,86,69,50,35,30,30,24,23,23,23,30,52,76,108,142,148,128,82,80,75,63,45,32,29,34,23,20,21,26,27,39,68,98,132,156,152,125,72,69,61,50,33,20,22,31,20,19,22,25,29,41,74,105,131,151,148,127,60,61,61,55,39,23,23,30,21,20,22,25,25,37,69,101,130,153,159,154,61,48,51,56,39,22,23,27,23,29,30,21,23,47,77,96,120,160,177,167,64,50,49,47,30,21,23,26,22,26,28,25,35,59,85,101,122,156,167,154,67,58,54,46,29,24,24,18,22,24,26,30,47,73,96,109,133,159,161,144,51,50,52,46,31,29,28,16,22,24,28,36,52,77,101,116,145,163,158,141,44,45,49,43,28,27,29,20,22,26,32,40,51,72,96,116,150,166,161,146,85,80,79,63,35,22,23,20,22,26,33,42,52,66,89,108,149,167,168,158,129,122,122,104,62,29,21,20,23,23,31,45,57,68,82,94,136,158,167,165,133,131,142,135,89,44,28,27,23,21,28,48,63,72,77,83,116,141,157,159,117,114,126,147,104,55,42,27,27,20,33,32,69,65,65,90,115,131,148,154,108,108,118,132,98,58,54,41,28,25,40,36,72,73,71,89,103,119,135,141,117,121,121,116,87,53,52,38,31,35,54,45,77,87,86,91,81,97,111,117,131,136,128,105,83,47,48,29,36,44,68,56,83,100,101,94,70,84,98,103,1
137,154,164,129,156,169,123,142,171,172,167,159,150,152,166,178,175,190,200,201,168,173,149,122,141,166,134,135,168,177,180,171,160,163,180,194,213,205,189,171,153,169,146,138,132,155,109,84,112,144,174,180,171,166,167,169,203,184,162,147,144,163,172,173,143,161,84,59,67,112,161,187,188,182,171,162,161,149,143,149,158,147,161,159,133,156,70,66,51,85,132,168,187,192,187,183,159,149,146,155,158,128,129,143,140,140,56,64,39,62,105,153,182,186,182,181,180,168,156,151,148,142,133,179,185,115,55,61,47,56,92,143,167,160,154,158,172,169,162,153,128,158,139,204,201,73,43,54,55,46,63,100,116,107,109,128,149,161,168,166,145,126,140,182,198,90,33,36,58,44,42,58,71,76,84,98,138,165,161,158,143,164,140,152,202,126,37,37,53,42,48,62,50,37,67,118,150,170,158,151,140,166,133,136,175,133,44,40,50,39,37,40,37,42,81,127,153,169,156,153,141,137,137,160,147,123,60,46,50,53,42,28,40,79,117,133,154,170,159,166,137,139,162,189,171,149,74,49,44,59,58,47,61,103,138,149,167,176,160,163,132,167,187,190,215,183,67,39,38,35,43,72,106,131,145,153,175,176,148,142,149,167,198,193,215,164,55,34,39,37,58,107,151,166,158,148,170,172,146,139,180,144,202,209,187,118,53,40,46,81,123,151,171,179,168,151,162,171,156,159,153,162,222,225,140,58,39,70,103,136,176,169,154,155,152,165,176,187,181,167,152,138,150,123,65,44,64,103,157,168,183,163,148,155,159,175,194,199,185,168,84,72,76,57,53,90,129,159,178,172,170,149,141,157,166,185,200,195,172,152,52,50,64,68,91,134,152,163,162,153,157,144,142,155,162,182,193,180,151,131,1
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89,95,98,86,73,79,80,65,66,63,67,72,66,57,63,78,85,81,74,68,96,99,103,95,82,83,86,75,68,69,74,80,77,69,65,67,76,74,72,69,90,87,92,93,84,84,87,81,72,77,78,77,77,78,73,66,74,75,77,79,80,69,73,83,84,86,88,83,78,84,79,66,66,77,82,77,74,76,80,83,81,66,67,81,87,92,91,82,81,91,86,67,61,74,85,84,73,73,74,75,83,73,75,82,84,90,90,78,80,93,94,79,70,76,82,81,75,74,72,71,78,81,87,85,78,85,89,79,75,84,88,83,79,81,82,81,75,75,75,75,74,88,100,91,77,85,96,89,71,73,74,77,80,84,86,86,70,72,76,80,76,77,88,101,94,75,71,82,82,73,69,75,76,73,80,92,85,79,74,72,69,74,81,87,87,81,75,72,76,71,71,76,73,68,75,87,81,78,74,71,67,73,75,77,85,90,82,68,73,72,74,79,75,68,71,80,82,82,81,78,65,66,67,72,81,85,79,71,74,73,75,81,80,73,71,73,83,86,88,86,62,55,57,69,72,66,65,72,73,71,71,77,81,78,71,67,81,84,88,87,65,56,58,70,68,56,60,75,67,66,67,72,77,76,71,66,83,84,87,87,71,67,65,67,65,60,63,71,61,65,69,71,71,72,73,74,85,84,83,84,70,72,67,59,58,63,64,60,57,67,75,73,68,69,77,83,82,79,75,75,91,73,58,57,65,68,65,62,59,58,66,69,66,75,82,75,72,73,74,73,98,80,65,63,68,69,66,64,57,57,64,66,63,72,78,72,75,76,76,75,103,86,71,68,70,69,65,63,59,59,66,68,63,71,77,71,77,78,79,77,101,86,73,68,68,65,62,62,64,65,72,73,67,73,80,75,78,79,79,79,0
191,191,173,167,177,165,153,168,168,166,163,162,162,163,162,161,184,183,175,165,175,192,175,156,172,172,161,172,164,164,164,163,160,158,155,152,162,171,176,175,155,192,175,145,168,179,170,181,183,183,180,174,167,159,156,154,145,161,177,184,165,203,183,153,171,175,164,183,193,193,190,183,177,171,171,172,145,156,167,175,189,208,189,170,176,163,152,178,176,180,184,185,185,182,178,177,159,156,153,156,179,179,171,172,172,154,152,179,176,180,185,188,187,178,165,156,174,163,154,155,164,152,157,169,164,154,162,178,200,195,187,183,179,170,156,145,171,165,164,171,174,158,167,177,163,158,168,168,214,198,178,167,165,166,161,158,153,156,166,180,156,163,165,159,153,158,170,179,202,180,165,149,143,168,186,172,159,149,154,175,166,171,168,159,158,170,178,178,196,184,177,169,169,193,204,182,149,144,151,167,166,171,164,151,155,173,178,167,189,180,175,173,177,196,201,184,142,141,149,161,160,169,162,145,149,170,172,156,188,171,162,162,164,168,174,179,150,146,145,146,156,171,171,153,152,167,169,156,183,165,153,158,155,143,148,171,170,160,144,133,153,171,175,163,158,164,163,153,168,163,156,159,159,143,139,158,173,168,154,138,152,165,174,171,165,162,156,147,165,179,169,158,168,167,153,150,148,158,159,147,155,165,175,178,175,166,155,146,178,203,186,157,174,193,176,155,117,140,153,142,150,158,170,158,161,175,151,130,166,184,184,172,184,190,178,159,130,132,141,150,159,165,171,151,148,168,162,156,154,171,174,171,179,175,152,132,125,130,142,156,167,173,178,152,143,163,167,173,145,163,171,183,187,173,137,118,124,131,147,165,168,177,185,163,151,164,163,167,142,160,170,199,200,182,138,122,125,134,153,172,0
208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,209,209,209,209,209,209,209,209,208,208,208,208,208,208,208,208,208,208,208,208,209,209,209,209,209,209,209,209,208,208,208,208,208,208,208,208,208,208,208,208,209,209,209,209,209,209,209,209,208,208,208,208,208,208,208,208,208,208,208,208,209,209,209,209,209,209,209,209,208,208,208,208,208,208,208,208,208,208,208,208,0
172,167,169,179,185,180,175,174,195,187,174,161,154,160,176,191,195,192,186,181,169,171,176,180,179,177,177,179,188,185,175,161,157,165,176,183,189,188,187,186,167,177,183,179,173,174,180,184,180,184,177,162,161,174,180,177,180,182,186,188,172,181,184,176,171,176,183,186,178,185,178,163,165,183,189,180,176,179,182,186,181,182,179,175,175,181,185,186,181,187,179,163,166,187,196,189,183,183,184,185,190,180,174,176,181,184,186,187,186,188,178,163,165,182,195,195,192,190,189,188,195,178,172,181,186,182,183,192,190,187,177,164,161,171,183,191,196,194,192,191,196,177,172,185,188,178,181,196,192,186,176,165,158,160,173,185,194,193,192,191,184,179,182,191,191,185,187,197,186,192,179,162,157,158,162,172,187,193,193,188,182,180,185,195,196,189,189,197,188,190,176,162,157,153,156,169,180,180,182,187,184,184,189,197,196,189,187,192,191,187,174,164,157,146,146,164,173,171,175,182,187,187,189,193,191,185,183,187,194,187,174,168,160,143,141,161,167,174,176,171,188,188,188,189,188,186,188,192,195,189,178,174,166,145,141,159,161,179,179,156,187,188,188,188,190,192,196,200,191,191,184,178,170,152,145,157,157,175,175,152,186,189,190,190,191,193,196,198,184,192,189,180,173,158,149,154,159,163,164,162,186,191,192,191,189,189,189,187,179,193,191,181,174,162,151,150,165,153,156,176,188,186,189,186,179,183,192,190,187,195,191,170,154,151,150,148,145,158,168,186,187,185,187,182,171,175,188,191,180,189,191,178,161,158,149,138,144,160,168,186,186,184,186,177,159,163,183,194,180,185,188,177,162,163,153,133,138,155,159,172,187,185,186,173,150,152,178,198,190,185,181,167,153,163,163,137,132,154,152,155,0
139,144,136,117,108,112,113,105,141,154,152,124,103,119,135,127,152,152,144,130,140,145,139,121,108,107,113,115,136,151,151,131,114,114,121,128,139,152,163,167,142,145,142,127,107,97,103,112,130,157,164,157,152,133,124,140,140,146,150,150,126,130,135,130,113,99,98,107,112,151,162,160,167,150,126,135,138,134,125,116,106,114,128,135,128,113,106,109,118,157,157,144,160,158,133,127,126,126,127,129,113,127,143,147,137,122,111,105,133,155,145,121,134,149,139,127,130,129,131,137,133,151,163,154,136,124,116,108,120,127,121,111,119,139,145,138,148,137,130,130,134,158,169,153,133,127,127,126,119,118,129,140,146,162,176,177,157,146,138,137,122,153,158,155,122,129,121,124,125,117,118,183,174,171,191,201,197,178,162,150,136,166,167,156,122,127,118,117,133,116,122,169,184,165,193,209,207,196,183,143,131,162,166,152,121,126,118,113,136,118,125,151,191,166,195,217,210,212,206,137,126,155,167,152,127,122,114,104,117,117,118,134,177,174,189,211,208,212,216,143,134,157,174,161,141,120,109,99,95,113,109,122,148,181,182,201,209,206,217,160,130,142,162,157,148,122,118,117,97,112,110,118,128,182,185,206,213,202,206,166,130,125,145,146,150,124,138,152,118,103,111,108,115,161,187,216,208,193,178,142,145,129,143,143,151,124,149,174,131,86,103,90,103,130,180,216,196,181,150,108,129,129,119,139,140,137,165,162,135,119,107,113,86,103,139,183,179,143,110,103,128,132,119,134,136,124,152,171,149,123,103,112,92,105,124,152,164,137,115,115,121,131,116,126,134,113,137,188,171,133,103,115,102,110,108,116,151,133,119,122,113,125,110,121,140,113,127,202,189,143,107,119,111,116,102,98,143,130,119,118,0
142,144,140,129,121,120,121,120,131,138,115,86,91,108,106,96,79,82,87,90,133,135,130,119,111,113,118,121,119,120,107,100,114,118,108,101,90,90,89,86,127,131,128,117,109,111,119,124,118,112,104,114,131,126,111,110,97,97,90,80,115,124,128,121,113,113,117,120,128,122,111,113,125,121,112,117,96,102,99,87,92,106,119,122,119,117,116,114,122,126,116,105,108,109,108,113,94,105,111,105,76,92,109,119,124,125,121,116,108,118,112,101,103,104,106,115,97,103,110,112,75,86,100,110,119,124,122,116,115,113,106,107,115,112,118,138,119,109,105,111,76,82,89,96,106,114,113,108,137,118,104,115,128,122,132,165,150,123,106,111,85,79,86,80,97,93,103,99,117,108,106,113,116,117,131,150,140,139,136,134,81,75,81,74,92,88,99,97,91,95,104,113,114,112,123,139,147,142,133,125,84,76,80,69,84,81,95,94,94,100,104,103,101,107,127,147,144,138,130,123,94,84,82,66,78,75,91,93,101,104,103,97,95,106,127,144,133,136,141,145,96,85,82,64,73,70,88,92,82,88,95,100,103,106,113,120,135,142,154,165,88,80,80,63,72,66,82,85,74,73,80,94,100,99,106,118,144,145,146,148,83,79,85,70,75,62,70,68,72,66,73,90,94,87,99,122,131,127,120,114,84,83,93,79,80,60,60,52,56,56,76,102,100,78,81,105,105,104,102,100,88,82,86,88,79,75,72,61,50,56,64,76,83,70,62,72,80,88,114,133,101,86,82,83,80,82,78,65,53,57,62,70,74,60,52,61,72,77,103,127,112,88,75,74,77,85,82,67,60,64,66,70,73,60,53,62,61,58,77,100,111,86,70,68,71,80,80,66,62,67,67,69,74,66,62,72,75,64,75,95,0
136,143,177,191,166,148,146,138,132,140,145,144,138,133,132,135,143,145,135,126,123,144,181,188,161,150,155,150,146,152,157,155,149,143,141,143,145,151,144,138,125,139,164,170,157,155,160,155,150,153,157,156,152,148,149,150,151,159,155,149,154,142,138,148,155,157,156,154,148,148,148,150,149,152,155,158,162,171,164,152,182,151,130,137,147,143,145,160,152,149,146,146,149,157,163,167,176,183,170,150,173,153,130,126,127,116,125,158,154,149,145,144,150,158,163,166,182,190,174,148,150,151,131,115,116,114,119,143,147,144,142,145,154,160,162,161,174,185,171,146,141,153,132,110,124,135,128,129,142,140,142,150,162,169,168,165,162,177,166,143,153,155,134,114,125,143,138,128,146,152,160,167,167,163,160,159,158,159,159,156,141,144,129,117,127,139,138,136,156,159,162,164,162,155,149,146,144,150,157,162,136,139,133,128,133,133,135,145,162,165,166,163,157,150,146,143,144,146,149,149,149,151,149,149,145,130,128,145,159,167,171,165,157,153,154,156,162,156,144,133,164,165,165,168,159,130,119,134,152,165,171,165,156,156,163,168,175,169,153,138,166,169,173,180,172,140,120,128,149,161,166,160,154,158,165,166,172,172,163,148,153,161,171,186,188,161,137,136,151,155,155,153,157,166,166,158,163,169,165,150,141,153,167,189,199,180,154,147,153,152,148,148,162,176,171,154,159,168,166,152,127,141,153,171,190,185,164,155,151,165,157,148,166,185,175,155,157,178,177,164,123,133,141,156,176,175,160,155,162,167,151,136,148,161,156,147,166,184,181,164,126,131,132,141,159,162,153,152,159,157,138,124,126,126,122,123,145,163,163,150,135,137,132,136,152,154,147,147,147,145,133,127,122,106,96,103,123,142,145,136,0
184,181,181,180,183,199,204,188,168,190,187,172,163,138,116,120,121,113,101,93,189,187,188,184,182,192,195,180,183,192,181,168,162,141,122,125,115,110,102,99,179,180,185,184,181,192,198,188,195,188,171,165,167,152,136,137,112,110,108,108,172,173,181,182,178,189,202,198,190,171,158,166,172,160,146,145,118,113,109,111,181,179,183,179,172,180,193,193,172,149,145,165,170,152,138,135,125,111,100,99,180,175,178,178,172,179,191,192,165,138,143,168,160,134,122,122,130,108,87,84,168,163,171,177,177,185,197,197,176,147,156,178,158,125,121,130,142,112,85,79,164,160,170,179,181,188,195,192,192,161,170,191,162,127,131,147,154,120,90,85,160,156,162,176,182,180,183,190,191,181,176,175,168,151,142,142,134,113,91,84,174,163,161,173,185,188,191,196,196,192,186,177,161,146,138,138,116,98,82,75,183,166,158,169,186,194,197,200,202,201,190,168,145,131,121,116,89,79,71,70,178,165,160,171,185,189,190,194,200,195,176,145,122,109,95,82,75,71,68,69,175,169,171,179,181,174,172,176,181,170,146,118,102,93,77,59,75,74,70,66,173,172,176,178,168,153,148,152,153,137,114,97,91,84,69,54,69,72,71,66,160,157,157,156,144,128,125,132,131,112,94,86,82,74,63,56,59,67,71,69,143,136,131,129,120,110,112,121,119,101,86,82,76,63,56,56,57,68,73,69,128,121,114,111,108,106,110,115,120,107,94,84,73,62,59,63,58,63,69,74,116,114,113,117,116,112,112,114,104,93,83,77,71,65,65,70,64,68,74,81,107,110,117,125,125,116,109,106,91,83,75,73,71,70,72,75,75,74,73,74,109,113,122,131,128,114,101,95,93,85,77,74,73,73,74,75,81,74,64,58,0
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155,184,188,157,172,157,168,191,183,164,157,159,179,186,170,178,153,138,150,155,160,182,177,157,167,164,184,221,200,172,158,156,172,170,144,148,177,159,170,169,165,177,164,158,153,153,164,208,171,167,177,177,173,162,153,182,190,159,162,165,138,149,144,169,164,167,167,205,195,171,168,180,203,201,176,185,180,134,129,146,147,153,155,189,183,181,172,196,154,142,147,164,197,219,220,242,183,139,138,159,170,169,174,190,177,162,156,168,160,175,186,162,145,154,179,229,209,182,190,200,151,155,176,177,163,142,153,164,168,179,181,155,153,171,179,203,217,197,206,204,155,165,196,181,159,126,142,148,160,191,209,182,169,180,183,202,197,173,175,170,153,170,190,148,141,146,148,141,163,212,210,183,158,206,213,195,210,158,138,175,177,163,188,182,173,134,124,141,161,191,212,194,165,211,224,177,172,160,161,194,164,169,196,175,172,157,147,144,164,167,201,192,172,204,226,167,138,161,169,188,157,174,190,146,152,171,175,158,174,158,181,172,172,178,198,166,151,186,186,191,188,161,165,145,152,146,157,176,181,171,171,161,174,147,150,161,167,203,197,194,183,149,152,143,155,144,153,177,182,192,184,170,172,131,121,155,184,207,198,187,143,145,157,129,150,176,184,173,177,207,209,191,157,138,138,166,208,205,192,190,126,139,156,125,153,191,200,180,175,212,225,205,141,152,172,184,200,174,161,182,144,155,151,155,199,199,163,178,165,173,224,203,141,124,175,174,168,140,161,183,160,174,183,187,210,205,170,178,140,142,191,195,165,135,152,144,154,141,168,178,165,174,193,189,186,180,157,157,128,128,164,186,196,157,143,132,120,121,156,162,167,164,182,166,145,147,139,133,129,139,155,169,205,175,150,143,135,135,178,197,0
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120,127,132,133,130,133,141,150,145,145,147,145,139,131,131,136,130,126,122,121,123,127,130,131,130,135,143,151,150,143,138,138,139,137,139,141,136,132,128,126,126,127,129,129,132,136,144,149,147,133,123,125,133,138,142,144,135,133,130,129,124,127,130,133,134,136,137,138,128,115,106,109,119,129,136,141,134,134,134,135,121,126,133,137,138,131,124,118,100,95,93,96,103,112,124,135,135,137,139,141,119,127,138,143,136,121,105,95,79,79,81,84,88,96,113,128,133,136,140,142,119,131,143,144,130,108,88,78,67,66,67,69,74,83,102,119,127,131,137,139,121,134,146,143,125,99,78,68,61,57,55,57,64,75,95,111,127,133,140,144,123,132,142,141,118,86,64,57,49,57,56,54,57,61,76,102,117,130,132,132,127,135,141,134,108,75,56,50,48,54,52,50,54,57,70,94,123,138,139,135,133,137,140,127,99,67,50,47,48,52,48,46,52,53,62,82,111,130,136,135,136,139,138,124,96,68,53,53,49,52,46,45,51,52,57,74,98,120,131,132,138,138,137,124,99,72,57,56,47,49,44,42,49,50,55,72,105,125,134,132,140,140,137,128,107,79,61,54,44,48,43,42,47,49,58,77,112,130,136,133,139,139,138,134,120,95,72,59,45,51,48,46,50,54,66,90,115,131,135,134,137,135,138,140,131,109,84,69,49,56,54,52,55,60,75,101,126,138,139,137,141,146,138,131,139,133,105,86,62,60,58,62,71,85,101,110,136,138,142,146,147,152,143,134,143,144,127,115,87,85,83,86,94,106,119,127,144,146,149,152,155,160,149,136,144,151,145,144,120,118,115,115,119,126,134,140,151,152,155,157,159,165,152,136,140,148,150,154,141,139,134,131,130,132,137,139,152,153,154,156,1
96,96,119,121,99,107,118,98,113,108,114,128,134,130,132,138,150,134,127,136,110,116,131,133,118,115,115,104,116,112,114,121,120,114,120,131,146,130,120,124,103,113,120,123,120,104,93,96,118,115,115,115,110,105,114,129,136,122,112,114,108,122,121,123,132,111,95,112,119,115,115,116,115,115,121,131,141,134,131,135,120,135,125,123,138,120,104,129,121,117,118,124,128,129,128,129,135,135,140,147,123,136,122,114,128,116,104,124,126,124,126,133,141,141,134,127,127,132,138,143,129,139,128,117,124,121,114,124,128,132,137,145,149,149,142,135,141,145,149,149,118,129,122,110,113,117,114,114,128,136,146,152,155,156,152,147,137,141,142,137,130,130,132,133,126,115,110,111,123,135,145,157,171,167,159,161,134,127,121,120,139,140,143,141,131,119,114,117,129,136,142,156,177,182,178,180,169,159,150,148,120,124,133,137,134,126,125,129,138,137,130,136,157,168,169,173,177,164,152,148,126,130,140,152,156,152,147,148,137,136,124,120,135,149,155,162,164,151,138,135,149,145,148,157,161,152,138,129,121,132,131,129,141,151,157,163,159,149,141,142,153,146,142,147,147,137,122,113,110,131,141,141,148,150,146,147,148,145,148,154,150,145,141,143,143,138,136,137,126,143,145,138,142,142,133,130,134,140,153,167,135,133,131,130,128,128,137,148,152,159,147,134,140,147,144,142,134,146,166,184,142,138,119,120,125,128,150,152,148,156,158,148,139,138,142,146,144,152,161,168,147,151,137,135,128,120,136,137,144,154,158,147,134,133,142,150,140,145,151,154,143,156,152,150,135,118,129,130,136,148,152,139,125,125,138,150,154,156,157,157,131,148,150,154,142,125,134,134,130,138,139,127,116,119,133,144,147,147,146,146,0
197,194,207,190,188,179,188,173,155,154,111,126,126,117,140,205,228,201,179,167,194,193,212,197,187,165,171,161,167,174,122,113,111,121,137,173,210,207,195,182,194,192,211,198,176,142,151,153,173,181,131,114,101,107,122,151,188,216,213,195,197,189,205,190,162,122,136,150,169,175,140,138,110,95,108,145,170,222,225,200,197,186,204,190,161,115,125,136,171,178,151,153,125,114,117,134,149,211,226,207,191,184,206,198,176,127,122,118,178,190,156,143,126,143,141,118,134,180,203,202,185,179,202,200,190,150,138,120,176,185,146,123,102,131,143,124,135,142,154,165,181,173,192,194,194,167,156,135,167,167,131,114,78,96,132,147,147,119,112,124,173,173,189,202,204,173,176,128,140,149,121,99,80,102,114,136,147,153,128,111,191,191,201,205,202,174,182,146,128,133,118,119,99,94,80,95,130,152,140,115,199,198,202,201,195,175,183,163,145,140,127,143,126,100,67,75,116,141,157,155,199,195,197,199,197,184,183,174,171,154,128,142,140,132,102,105,124,132,164,197,205,201,201,209,211,206,188,185,174,158,117,116,128,154,141,141,147,145,164,184,213,209,207,217,220,218,184,190,182,176,129,106,110,147,143,137,163,176,171,149,212,210,206,213,212,214,177,196,195,199,156,121,104,130,130,133,165,196,185,150,207,208,204,208,204,210,174,206,195,206,170,135,106,123,129,146,162,197,193,172,207,199,212,214,208,200,189,203,198,206,168,106,106,125,118,135,152,173,194,171,210,202,213,216,218,215,198,200,204,204,180,128,112,114,102,112,137,159,182,161,212,205,215,215,224,227,200,185,181,172,176,150,121,111,101,105,123,149,181,170,210,208,218,213,221,226,192,165,148,132,162,163,127,110,107,111,118,147,187,186,0
180,172,157,184,199,171,155,151,165,183,176,172,202,215,193,175,159,154,146,139,166,166,159,182,184,149,143,154,151,175,176,173,194,202,185,174,159,158,154,150,150,150,143,168,170,134,133,152,130,160,179,186,198,194,174,163,140,144,147,145,148,138,127,158,171,142,139,152,123,151,184,209,217,202,171,148,137,146,153,153,151,144,133,161,175,152,150,161,133,146,180,215,224,206,170,140,138,151,160,160,147,155,149,164,167,147,153,162,138,138,167,200,203,184,159,138,148,159,168,168,145,159,152,160,166,153,157,155,139,137,168,197,182,160,151,144,169,180,188,189,155,163,148,157,177,175,170,152,142,146,186,212,184,154,154,157,171,179,187,189,144,165,143,180,182,160,146,152,146,145,175,198,178,161,161,158,150,149,156,168,159,153,136,163,180,175,158,148,148,151,168,175,164,167,170,156,146,143,147,155,154,134,145,151,174,182,167,145,148,155,162,155,155,173,177,154,158,153,149,149,133,121,168,158,167,175,168,153,151,157,157,150,155,173,175,159,178,168,156,147,129,126,176,161,163,172,172,163,164,160,151,148,156,164,168,174,184,173,155,140,146,143,163,156,162,174,176,170,179,164,144,142,154,154,159,180,177,169,154,139,146,158,147,156,161,166,167,169,178,164,140,139,157,154,148,162,173,168,157,143,130,164,143,164,159,152,153,165,168,161,139,141,165,159,138,137,168,165,156,145,147,141,139,145,149,136,153,190,199,147,144,138,154,165,124,127,161,156,154,160,131,129,135,151,156,147,163,197,186,151,159,156,171,179,134,128,154,146,144,148,118,119,133,161,163,158,170,201,177,161,175,171,183,194,153,138,134,128,123,126,118,119,135,171,163,162,171,198,177,175,185,174,182,197,169,151,121,115,109,112,0
151,163,155,148,161,165,166,182,155,169,153,160,156,147,164,154,153,155,142,127,134,145,150,165,183,173,166,182,162,168,158,158,165,167,162,138,140,156,146,155,127,131,146,177,191,168,152,163,175,163,156,145,158,175,154,132,143,173,168,200,130,131,145,172,182,164,151,153,169,150,158,151,161,174,145,139,161,186,181,199,135,137,148,159,164,167,168,165,148,138,166,174,175,171,145,159,153,167,165,162,143,142,149,150,146,156,166,162,142,141,159,162,155,150,156,182,146,152,150,141,143,135,148,157,143,142,153,153,147,160,153,141,128,132,159,172,160,164,146,142,133,121,145,170,157,144,154,160,143,177,165,151,135,134,153,134,151,163,139,158,132,135,151,172,153,179,182,161,147,175,169,149,145,140,167,113,140,164,161,148,163,162,154,161,161,206,207,180,151,180,161,131,159,151,144,116,147,156,152,140,187,195,174,166,168,211,207,186,172,197,171,116,154,143,117,140,150,140,137,134,184,210,201,189,172,185,173,172,174,187,182,115,130,126,118,178,183,155,152,160,175,200,202,205,176,163,146,159,144,138,174,130,125,133,138,182,199,164,157,170,174,178,181,199,176,166,151,159,136,115,169,155,151,159,150,146,169,148,144,158,166,162,168,186,161,166,162,157,158,134,168,161,169,171,152,123,141,144,146,155,154,157,171,181,144,157,162,151,171,155,162,143,160,164,154,134,120,140,142,144,148,152,157,173,165,154,173,175,175,168,155,134,152,176,156,142,135,149,143,127,161,165,169,185,177,169,190,192,160,163,163,141,147,166,154,148,153,159,144,126,147,150,152,165,157,148,170,174,139,156,173,152,142,154,152,156,178,175,152,132,150,150,148,158,147,138,160,164,126,148,180,163,141,148,153,161,192,188,163,142,0
124,95,87,81,61,60,71,68,76,100,110,95,84,84,74,56,55,45,58,82,115,108,113,108,84,78,82,76,67,78,79,69,67,71,64,50,52,54,72,84,96,114,134,125,93,78,75,64,53,49,41,39,47,56,55,48,48,60,77,79,91,124,143,119,81,59,49,38,43,30,23,28,39,49,54,58,64,68,80,84,110,140,142,104,63,41,30,23,35,28,23,31,42,50,61,72,90,78,83,96,124,139,121,76,45,31,22,21,30,28,30,36,43,53,66,78,87,70,76,96,114,113,78,39,29,25,19,25,25,26,28,29,36,51,65,71,68,65,80,97,98,88,47,17,22,25,21,30,22,24,21,19,30,48,60,62,63,77,101,110,87,50,30,29,27,24,23,20,21,18,26,34,35,45,62,67,56,76,95,100,78,43,25,26,24,23,25,23,24,23,29,30,31,47,66,70,76,88,97,94,68,39,26,30,25,21,24,23,25,30,34,27,26,50,74,74,87,93,95,90,62,40,34,40,31,22,21,20,25,34,36,23,23,55,79,76,86,88,87,84,49,37,42,51,38,23,19,18,24,34,36,23,25,61,84,76,85,86,84,78,37,31,44,55,41,23,19,20,24,31,34,27,35,69,87,77,83,85,85,81,37,35,49,59,42,23,21,24,27,27,33,35,48,78,91,78,81,86,89,85,45,43,56,63,42,21,21,27,28,25,32,41,57,83,93,79,85,89,91,85,43,44,56,58,37,24,26,28,25,26,36,57,76,83,79,72,82,82,82,82,41,40,53,58,39,24,23,22,19,33,54,75,82,80,73,69,81,81,80,81,57,52,62,67,50,32,26,22,22,46,73,84,76,65,62,64,66,66,64,63,82,69,72,75,58,37,27,22,35,59,79,76,59,49,52,59,51,50,47,45,1
207,205,206,209,201,180,155,139,143,135,136,176,187,184,193,162,161,163,157,158,185,183,183,186,187,177,157,138,133,142,148,181,194,192,196,171,164,164,154,144,180,180,177,175,176,171,151,128,144,150,142,165,202,209,191,155,144,147,137,129,174,181,183,176,171,165,146,123,138,150,136,145,189,207,185,160,137,138,129,121,150,166,179,176,167,159,146,133,120,152,158,147,163,184,188,199,176,168,144,125,149,162,176,176,164,151,146,145,150,167,178,157,157,179,187,204,212,200,165,135,171,170,172,172,158,144,145,156,185,177,186,168,164,185,185,188,205,205,181,154,180,167,160,160,151,141,149,167,178,169,195,182,163,181,187,196,183,197,191,174,183,162,164,168,151,152,168,169,193,170,191,195,189,165,185,189,186,168,183,150,187,173,180,184,164,156,163,162,190,185,189,195,183,175,165,155,170,162,179,152,186,180,186,186,165,150,153,156,181,194,177,182,170,181,150,139,158,165,185,168,187,186,188,182,161,145,149,160,175,190,167,156,150,153,134,139,159,173,184,170,193,198,197,190,173,153,153,169,177,186,176,145,142,120,124,142,165,177,170,159,182,195,199,196,184,160,151,167,177,184,193,161,158,131,150,164,178,187,169,173,159,173,177,178,176,156,147,166,179,191,197,179,165,170,187,185,184,194,177,204,142,155,155,156,163,151,149,175,189,200,191,179,151,189,199,182,182,191,175,217,167,154,128,140,158,150,159,169,200,209,180,176,190,183,176,170,178,183,164,169,179,163,129,135,153,151,167,181,195,205,182,182,194,185,174,164,176,173,142,134,202,179,134,130,145,148,172,190,193,204,188,192,202,191,177,159,154,152,121,114,223,195,141,127,138,143,170,190,198,205,193,201,208,197,184,159,132,137,118,119,0
167,159,155,179,212,215,200,196,211,195,177,159,152,156,146,121,103,113,145,170,174,163,145,145,161,164,160,164,199,193,176,153,140,134,131,128,106,114,145,172,167,164,144,127,126,124,119,121,135,155,162,161,160,138,124,137,115,111,127,147,150,162,156,141,136,125,107,96,102,128,146,170,195,173,147,162,135,117,115,125,143,158,158,152,153,143,119,105,123,123,115,138,181,176,156,169,149,130,127,138,149,153,146,141,149,146,136,131,145,128,109,127,167,173,158,162,146,135,141,157,142,141,133,132,141,140,138,147,151,141,138,153,173,177,168,161,140,134,147,162,125,127,128,136,145,137,134,149,138,133,141,147,144,146,146,142,144,139,152,166,126,133,134,126,120,121,124,126,129,123,117,125,143,151,148,148,145,138,136,139,119,134,137,124,120,134,144,144,142,117,118,130,133,156,180,176,159,145,132,125,122,129,134,130,128,132,138,144,150,111,114,126,116,148,191,187,158,143,130,128,130,121,127,146,149,136,135,146,170,141,134,134,128,145,175,183,176,160,145,142,133,128,132,147,162,166,165,165,175,171,149,139,144,133,128,152,164,152,143,142,140,149,145,137,153,179,181,163,170,180,156,146,160,131,105,131,139,136,138,147,150,155,151,147,152,160,158,147,170,172,161,164,174,152,133,149,150,150,154,160,156,142,148,172,168,140,132,147,149,135,140,157,159,151,149,152,140,142,149,156,167,145,137,154,167,160,147,144,145,121,123,138,136,139,145,137,144,148,153,157,164,154,141,137,145,155,151,140,130,122,139,148,127,118,133,137,142,145,150,154,154,173,179,168,171,182,164,130,140,138,161,173,145,131,146,156,140,141,142,143,160,179,176,154,154,173,168,141,141,127,146,165,152,142,150,152,149,145,140,137,0
170,177,165,151,139,114,102,123,130,113,104,112,128,136,138,139,147,151,153,152,169,182,156,115,106,110,115,127,148,134,127,134,147,156,163,168,164,167,166,162,156,158,134,111,122,137,135,128,162,154,152,157,166,168,168,170,150,157,160,159,136,127,121,129,142,144,143,147,167,165,167,173,177,170,155,142,118,130,141,147,120,119,125,133,131,136,156,176,166,164,164,170,175,168,148,130,103,119,135,144,118,125,138,142,151,176,183,163,143,141,137,138,144,146,138,126,99,116,134,144,126,136,161,176,179,184,161,116,100,104,103,99,98,102,103,100,93,108,123,127,132,149,191,203,160,117,98,82,69,82,87,78,68,67,69,69,94,104,110,106,118,172,145,138,85,54,56,49,65,75,78,71,66,65,59,50,64,84,107,120,135,153,96,85,56,43,48,39,57,68,73,70,66,67,62,54,49,67,99,127,160,146,77,65,54,49,53,47,46,57,64,62,63,66,64,58,45,54,79,111,149,129,74,61,57,43,43,38,39,49,53,50,52,60,62,58,58,53,65,89,151,123,76,55,59,46,41,36,37,45,46,39,40,50,56,54,65,61,69,90,173,137,87,50,62,58,55,49,42,47,44,36,36,45,51,50,62,68,82,98,159,137,105,55,57,49,48,45,45,51,50,41,40,47,51,47,66,80,93,94,136,141,138,82,67,45,44,47,46,54,54,48,45,51,52,48,77,95,101,89,139,130,162,130,63,45,42,47,43,56,50,53,40,43,87,94,100,89,100,92,156,155,188,155,83,52,40,41,51,58,47,53,52,61,102,109,104,92,104,97,168,161,181,161,109,82,63,52,58,62,54,63,74,84,110,116,108,98,112,109,175,154,147,140,123,114,92,67,58,65,67,80,94,97,103,110,111,100,121,125,1
107,116,118,146,160,142,147,159,160,160,157,150,141,133,125,119,95,103,111,115,118,122,117,146,166,154,157,163,151,148,144,142,142,137,127,117,102,103,102,99,121,120,108,131,155,148,149,149,145,137,132,137,144,141,128,115,106,101,95,90,124,122,104,121,141,137,139,136,145,137,133,139,146,143,131,121,107,100,93,92,127,132,115,124,138,135,139,137,144,139,138,144,147,143,139,138,117,104,92,89,123,135,120,123,133,129,135,132,141,136,136,142,143,141,145,154,137,115,93,85,130,143,127,125,132,127,127,119,140,131,128,133,134,133,141,154,153,126,102,95,152,163,144,138,143,136,130,115,142,129,121,124,125,125,133,146,158,134,115,114,160,163,184,177,157,148,131,121,125,125,128,129,121,113,118,131,140,128,122,115,174,180,190,191,174,156,139,116,120,121,120,120,119,121,131,141,125,127,123,115,184,194,188,202,193,172,166,128,110,116,121,124,125,126,125,122,108,125,117,102,190,198,175,196,198,182,193,151,123,124,122,118,120,122,117,108,114,136,115,88,201,198,163,176,179,172,192,155,142,128,107,96,100,114,126,128,142,155,125,91,208,194,161,160,158,156,170,143,126,109,94,93,103,116,129,137,153,152,125,101,191,177,163,158,155,159,160,143,122,108,105,120,127,124,124,131,135,122,108,105,166,156,164,162,163,175,168,157,154,134,128,141,142,129,126,137,113,93,92,105,155,155,169,178,164,159,179,198,194,166,156,149,149,148,133,139,120,109,99,95,164,158,169,179,171,168,181,192,179,160,161,161,162,158,141,146,139,124,106,93,188,175,176,182,173,165,165,163,161,154,169,173,172,165,143,145,144,131,113,97,199,184,181,182,168,156,148,139,150,152,174,179,174,162,138,138,137,128,115,103,0
132,133,144,157,156,149,151,161,181,181,164,146,148,146,130,118,130,146,140,120,142,148,159,163,151,138,145,161,179,168,142,129,144,153,138,123,139,154,153,142,149,158,168,165,146,131,140,158,171,159,131,117,133,147,141,135,150,164,170,171,152,156,162,161,150,140,145,157,171,169,148,130,133,141,146,155,163,174,181,189,153,149,148,153,159,161,161,161,179,179,162,149,153,157,159,167,174,182,185,191,157,147,140,146,161,172,173,169,176,166,148,148,167,174,164,160,176,183,181,177,161,151,140,138,147,162,171,173,157,147,134,141,166,173,160,153,163,174,169,159,164,157,144,133,132,145,162,174,142,142,137,144,162,164,157,159,146,162,158,147,141,140,139,128,120,135,156,158,129,116,132,151,146,149,164,168,134,145,158,166,150,145,145,141,137,145,148,137,134,139,153,158,142,132,137,142,154,158,160,157,161,149,143,138,134,143,151,146,146,170,179,165,145,131,131,142,165,167,165,159,145,130,123,122,120,130,143,145,145,179,181,158,147,142,146,165,148,156,162,162,110,89,87,106,121,131,129,117,124,156,157,139,140,144,147,161,130,141,150,152,93,57,49,82,120,139,136,119,104,126,133,125,126,131,132,133,129,137,142,138,86,52,44,72,99,117,125,122,97,104,114,115,109,114,119,113,122,131,135,130,73,60,69,86,81,73,80,88,95,89,100,102,90,99,114,110,102,114,125,124,79,84,89,90,89,88,84,81,72,88,84,83,76,73,91,92,85,84,101,102,71,76,80,80,78,74,69,67,65,86,85,82,71,65,86,90,66,65,82,82,61,64,68,70,67,62,58,56,65,90,92,89,73,65,85,91,60,61,76,73,54,56,61,67,66,61,57,58,68,91,93,91,76,68,84,87,68,71,85,79,0
147,155,158,150,141,137,139,140,132,130,128,123,110,93,83,81,71,65,61,64,145,153,158,149,137,128,123,120,109,107,104,100,90,78,75,78,70,64,62,67,143,154,160,153,138,123,109,101,82,78,76,72,66,63,67,75,76,70,67,70,138,149,156,151,135,115,96,83,62,59,56,53,50,52,64,76,82,76,74,78,133,142,147,139,121,99,76,61,51,50,47,45,45,49,65,82,87,81,80,86,139,144,143,130,110,87,63,48,47,44,42,41,43,54,76,97,104,96,91,92,142,144,138,122,100,80,59,45,45,42,39,39,46,63,94,121,128,118,109,107,137,137,127,110,91,74,57,44,46,42,38,39,49,74,111,142,142,133,126,126,127,131,124,107,87,70,52,38,46,34,31,41,57,82,118,152,152,143,140,148,122,126,121,105,87,68,49,36,41,32,33,47,66,89,121,148,157,151,148,148,120,123,118,104,85,66,47,36,36,33,39,58,80,101,127,148,158,159,155,147,124,123,115,100,81,62,47,38,37,37,47,68,91,113,136,152,154,160,157,144,126,122,111,97,78,58,45,39,40,43,54,74,96,119,142,156,149,156,154,142,125,119,111,99,81,61,47,43,44,52,64,80,100,122,146,161,149,153,152,147,122,119,117,111,95,73,57,51,50,63,80,93,108,129,153,169,156,153,153,157,121,121,124,124,110,85,67,60,58,74,93,106,118,137,160,176,164,155,156,165,120,122,129,131,120,100,84,77,73,102,111,107,126,155,166,166,153,157,156,153,116,120,130,135,130,116,104,100,98,120,126,124,141,159,162,161,155,156,154,148,115,120,131,139,138,129,122,121,121,133,137,143,159,163,157,157,156,156,150,141,118,122,131,140,139,131,124,125,127,131,136,152,171,166,154,155,156,154,145,137,1
212,209,216,220,189,108,142,181,178,128,115,131,137,157,180,179,176,112,80,89,215,216,218,224,177,124,134,174,172,143,119,123,136,143,163,190,181,159,130,103,211,217,220,217,157,131,115,151,156,151,132,131,143,134,130,154,181,185,161,127,208,216,228,191,126,100,72,95,130,135,141,142,143,135,123,114,173,174,154,141,213,221,238,165,102,59,36,44,87,103,151,163,132,141,151,117,155,167,158,146,214,224,230,149,95,51,47,42,48,74,160,193,146,146,161,121,132,169,180,159,211,223,195,134,79,51,58,51,44,52,126,181,162,149,152,130,124,155,182,182,212,223,162,116,50,35,42,33,66,38,64,129,156,150,152,161,135,132,163,199,231,196,148,121,57,21,48,34,49,47,26,82,139,127,134,159,138,126,152,180,204,180,152,144,80,27,50,46,34,38,20,64,117,116,122,139,130,107,129,165,178,163,153,163,98,25,39,46,33,41,23,40,86,106,118,126,138,108,122,156,166,149,143,168,118,34,38,50,49,57,36,27,63,103,124,127,126,109,118,138,155,135,126,169,147,71,56,52,54,62,47,27,51,100,120,121,119,125,136,137,148,126,108,162,173,112,75,44,45,48,49,31,47,93,107,107,134,155,162,150,144,122,93,149,193,160,115,64,46,37,45,32,43,86,103,113,145,162,165,155,138,116,83,141,210,204,169,112,56,36,44,32,42,86,109,131,159,168,173,177,125,94,120,173,202,231,231,185,108,72,51,40,39,71,112,124,162,178,197,219,102,100,136,175,188,209,227,217,156,124,106,90,75,85,104,101,131,164,197,219,104,124,153,172,176,183,206,224,198,175,167,156,132,126,124,106,101,146,181,189,121,141,152,163,177,179,187,209,211,196,199,194,171,161,149,123,94,138,159,147,1
168,157,135,117,119,125,107,80,61,60,62,64,61,57,62,70,85,81,75,70,129,129,118,92,65,48,42,43,46,57,60,56,68,90,90,76,79,80,81,82,129,101,78,76,76,63,49,43,51,61,60,52,57,74,78,69,73,80,91,101,95,82,85,99,91,63,51,59,58,57,61,63,55,52,68,92,96,102,112,123,94,90,98,105,82,42,30,43,51,52,64,79,83,85,105,131,139,136,135,138,123,104,84,72,59,50,59,77,92,97,101,112,133,156,161,153,156,146,140,144,93,94,83,66,60,78,112,138,125,115,104,110,133,158,162,154,149,139,138,149,93,83,76,92,135,167,155,121,72,43,28,41,61,76,98,123,148,137,139,157,104,99,107,139,175,179,138,91,39,19,37,19,35,23,33,72,88,135,145,156,137,145,150,146,138,126,95,61,42,25,41,33,53,37,23,37,46,86,97,122,158,163,159,140,122,112,80,33,33,27,39,33,55,49,35,38,36,62,70,109,160,162,160,141,126,127,93,30,32,43,47,36,41,38,34,39,32,47,53,99,167,172,177,155,130,135,116,61,25,41,36,36,42,48,49,53,38,56,69,123,175,167,169,156,143,165,161,108,70,69,35,44,60,80,87,88,78,99,116,170,173,156,161,158,151,181,185,136,147,144,99,113,116,123,120,116,130,142,142,181,165,166,189,179,142,152,168,137,146,171,160,200,198,185,170,162,177,176,154,173,188,193,198,171,158,165,147,136,157,174,201,225,229,216,202,195,179,160,139,133,181,183,192,175,169,178,166,163,197,197,201,207,205,196,190,190,196,185,172,165,180,175,186,182,182,189,182,191,212,201,191,190,191,190,193,197,195,197,197,195,187,175,185,187,188,189,185,202,200,190,184,189,197,199,200,201,187,195,203,207,1
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63,63,70,79,85,85,87,90,91,97,104,108,108,107,107,107,113,116,119,119,84,81,81,84,83,78,76,78,90,96,104,109,110,109,108,107,116,118,120,120,97,91,88,87,84,78,78,80,90,96,103,107,109,107,106,106,113,115,117,116,109,103,97,94,91,86,86,90,92,94,98,100,100,101,101,102,110,112,114,115,120,112,105,101,96,91,91,95,98,95,93,91,90,92,92,93,101,106,112,115,118,111,106,105,102,100,103,108,111,106,99,94,92,91,89,88,89,94,101,106,136,131,128,129,130,131,135,140,134,129,121,116,110,105,99,94,88,89,93,94,178,172,168,167,165,162,164,169,156,151,144,138,131,123,112,105,98,98,96,93,195,190,186,188,192,193,186,180,163,162,159,152,149,145,139,133,121,112,101,94,191,188,185,187,192,194,191,188,180,176,171,165,163,161,158,156,142,128,111,101,186,188,191,196,201,203,205,205,200,196,192,190,190,188,185,185,171,156,138,128,193,199,209,215,217,217,220,221,216,212,211,213,213,209,207,206,197,184,167,158,181,191,204,213,215,217,218,219,218,211,206,208,209,208,210,213,206,192,172,159,133,144,159,171,180,184,189,192,190,180,174,177,180,182,188,197,188,175,156,139,123,125,128,129,130,130,131,130,132,127,130,143,148,146,146,152,147,145,143,140,158,149,135,117,99,85,76,70,80,84,100,124,132,122,112,110,110,124,144,159,165,163,146,124,106,83,64,63,67,74,89,103,105,99,95,99,112,127,142,150,126,126,113,96,84,66,53,53,58,62,70,79,79,75,75,81,90,110,129,138,89,93,82,70,63,51,40,43,49,49,50,51,49,49,54,62,74,98,124,134,80,83,74,63,58,45,35,38,45,44,42,37,35,37,45,53,67,96,126,138,0
59,66,78,83,71,62,76,101,95,87,87,89,77,60,60,74,89,95,93,82,52,67,80,79,72,73,85,95,101,86,77,78,74,66,73,89,98,101,93,76,47,67,80,74,73,81,85,82,81,64,54,58,62,65,75,89,89,91,83,68,55,68,76,75,73,72,68,62,45,36,35,45,53,55,62,72,74,77,74,66,69,70,75,79,70,53,43,44,36,35,38,46,49,47,52,60,69,71,71,67,77,75,79,81,63,38,28,35,49,46,44,45,41,38,43,50,59,62,64,65,73,82,88,78,56,37,32,38,56,49,43,42,40,39,39,40,49,53,60,66,65,87,95,75,50,41,42,42,54,47,42,44,49,47,39,33,52,57,65,73,62,89,98,76,52,43,42,37,34,42,43,34,31,34,34,29,37,59,76,77,76,90,92,70,50,43,40,36,42,41,38,31,29,31,34,33,42,58,73,80,74,78,75,59,46,42,42,43,50,40,33,31,31,33,39,45,54,60,74,88,76,80,76,62,47,41,46,51,51,38,29,33,36,36,44,53,61,62,76,98,92,103,103,80,54,42,45,52,45,34,29,33,35,35,41,52,68,69,87,114,90,113,117,88,55,44,49,53,37,34,33,34,35,38,48,56,84,89,109,134,82,112,119,84,51,47,53,52,34,40,43,42,46,59,75,85,92,101,117,131,92,124,126,84,50,48,52,44,36,48,55,52,60,83,107,119,86,95,106,110,91,117,110,78,61,55,44,35,28,50,76,80,74,86,99,97,87,88,99,104,85,112,115,98,87,76,59,48,67,74,84,85,81,93,99,91,107,103,116,130,96,114,123,122,120,104,86,79,100,97,105,112,119,132,129,109,122,110,123,147,114,120,123,129,132,116,102,106,109,109,125,148,163,172,157,129,129,108,118,148,1
188,187,185,183,183,183,185,186,192,191,187,182,177,173,170,169,159,167,181,197,187,186,185,182,182,182,185,186,188,188,188,184,180,174,169,166,156,158,166,176,187,185,183,181,181,181,183,184,185,188,190,189,186,178,170,165,153,149,149,152,186,184,182,181,179,181,182,183,186,189,191,190,187,179,171,167,151,145,141,141,186,185,183,181,180,181,183,184,187,189,188,186,182,176,170,167,150,144,140,142,191,188,187,185,185,186,187,188,189,189,186,182,178,172,168,165,153,147,144,148,197,196,193,192,191,192,193,195,195,194,191,186,181,175,170,166,161,153,149,152,201,200,198,196,196,197,198,199,199,200,198,195,189,181,174,169,171,162,155,157,203,203,203,202,202,202,203,203,204,205,203,199,190,182,175,172,169,167,164,161,207,207,207,206,206,206,206,207,209,209,207,202,194,186,179,176,174,172,169,166,210,209,209,208,208,208,208,209,212,211,208,202,196,188,181,178,175,174,171,168,209,208,208,208,207,207,208,208,213,210,206,200,194,187,180,176,171,169,167,164,208,208,207,207,206,206,206,207,214,208,204,197,193,186,178,173,170,169,166,164,209,209,208,208,208,207,208,208,215,208,202,196,192,186,178,171,174,172,170,168,209,209,208,207,208,207,208,208,211,205,198,191,188,182,174,167,172,171,169,167,208,208,207,206,207,207,207,207,207,200,191,186,183,178,169,162,167,166,163,162,210,207,207,210,211,207,203,204,198,188,188,173,166,168,157,163,165,162,158,154,212,209,208,210,209,203,199,200,194,184,184,169,163,165,155,161,164,162,159,156,214,211,210,210,206,199,194,195,188,178,179,165,160,163,153,159,161,159,157,154,213,210,210,209,204,196,192,193,184,175,176,163,158,162,153,159,157,155,152,149,0
151,166,162,131,121,148,156,129,112,118,121,123,133,139,125,104,114,133,145,140,161,169,159,131,114,120,138,151,132,129,123,119,124,130,126,118,109,123,135,137,156,171,173,164,143,112,116,155,151,140,129,124,122,121,123,128,109,115,129,146,139,164,177,184,172,121,100,136,148,137,132,133,127,115,117,129,135,124,124,137,125,150,158,169,175,138,105,118,130,122,123,128,124,113,117,133,142,125,118,128,116,135,146,162,183,168,131,115,119,112,112,118,116,111,120,136,127,117,118,135,111,116,127,147,170,174,154,131,125,122,121,121,117,113,118,127,131,124,122,130,112,96,92,104,124,149,160,152,138,138,138,135,126,117,112,112,140,132,124,123,130,109,93,89,98,126,154,159,141,126,137,151,140,130,119,98,108,111,118,127,145,123,106,101,104,123,141,141,143,126,133,149,148,145,134,113,112,113,115,117,143,135,135,127,112,113,125,129,148,130,130,144,150,150,140,120,124,126,128,129,119,133,154,152,123,108,117,126,143,133,132,141,150,154,148,138,130,131,134,140,101,116,146,159,142,124,121,121,129,134,137,140,147,151,152,155,138,131,126,129,110,103,119,145,153,145,129,111,122,139,140,133,133,129,129,139,155,143,129,124,130,108,108,131,145,144,129,111,123,144,143,128,123,113,108,119,156,151,144,139,144,120,114,125,129,126,125,118,118,143,142,129,128,120,114,125,134,142,149,151,133,136,123,115,135,150,138,121,116,109,151,153,157,136,136,138,126,129,130,130,142,148,135,118,127,140,139,135,113,104,141,148,165,156,145,130,119,122,123,122,143,160,153,133,127,132,137,143,119,105,126,132,162,179,162,130,113,116,117,115,134,161,167,152,139,133,133,139,132,112,113,111,146,191,179,142,112,117,118,114,0
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192,201,182,182,196,158,139,187,169,157,150,161,174,180,175,170,178,160,145,142,187,189,195,193,175,157,162,184,186,169,157,158,169,177,180,183,163,156,151,151,182,164,181,183,158,175,210,204,201,189,178,177,177,172,167,163,156,163,174,181,197,165,166,175,170,201,236,228,220,207,195,191,188,178,166,160,166,177,192,201,187,178,176,184,189,189,192,199,206,187,168,160,161,165,169,174,172,176,180,180,110,146,171,179,172,134,111,128,130,120,109,106,109,119,135,150,163,159,151,143,42,100,146,152,131,94,73,80,69,75,82,85,86,98,129,157,175,167,151,134,40,89,134,132,106,94,87,73,71,83,94,95,98,125,181,230,203,195,174,149,42,97,118,86,64,61,59,64,62,77,107,104,113,139,208,225,204,214,163,129,42,121,98,56,51,43,49,51,61,72,96,94,125,138,182,174,204,206,150,117,78,160,96,41,50,41,51,49,55,55,65,73,141,146,174,154,211,205,151,124,133,168,104,46,49,49,51,46,58,41,38,70,166,155,181,169,186,183,146,133,163,135,107,53,36,51,39,36,56,38,40,110,198,160,175,172,156,161,150,158,170,119,118,69,36,54,35,36,36,35,59,167,228,169,168,161,142,151,156,179,164,148,138,83,49,50,35,40,27,48,78,199,225,175,171,153,139,138,141,167,149,179,147,84,53,35,27,34,44,72,92,205,204,172,174,150,158,145,139,160,146,166,129,77,38,54,51,48,61,93,148,184,188,146,127,186,166,160,158,164,135,155,128,89,57,75,81,89,123,142,162,166,171,150,134,177,182,168,153,148,133,155,138,114,86,104,120,145,169,175,168,149,166,172,159,183,199,181,162,151,140,161,149,134,104,116,137,174,180,179,166,150,178,193,177,194,201,187,175,171,1
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156,173,161,136,135,137,116,91,93,81,89,84,77,76,81,107,87,111,118,111,146,165,165,152,149,131,90,56,85,75,83,76,69,72,80,107,114,137,129,108,139,150,149,142,140,117,79,54,77,68,77,73,70,75,80,102,135,165,143,102,129,133,126,119,115,96,74,67,73,63,71,71,74,81,75,85,133,188,188,156,112,117,111,102,96,79,68,73,83,65,64,62,74,88,77,79,93,167,202,195,111,112,98,83,79,78,83,96,97,73,62,56,73,96,91,94,98,160,216,232,136,133,109,86,86,90,94,102,84,64,57,52,72,97,97,101,87,115,175,220,159,161,140,119,115,107,84,70,53,42,47,48,64,87,86,91,95,89,136,189,185,176,142,115,106,80,48,44,50,41,32,39,57,80,98,109,95,74,82,133,183,177,126,71,58,54,47,51,42,39,37,43,55,80,118,149,135,110,92,102,181,165,99,42,49,68,58,44,38,38,39,41,45,71,133,190,189,165,128,91,157,148,101,65,79,88,63,42,48,44,41,40,41,71,144,214,217,208,173,118,138,145,126,106,95,70,49,56,57,49,43,43,53,90,157,217,211,209,189,145,171,156,127,112,98,60,39,59,51,43,40,48,71,109,156,189,167,168,162,149,199,160,109,94,96,66,40,50,46,43,43,57,87,118,134,135,111,109,121,149,181,151,105,84,84,58,37,50,52,55,59,72,101,122,114,92,73,70,97,155,149,114,101,103,84,58,51,51,27,43,62,83,102,96,82,78,42,49,68,92,105,88,95,110,91,63,53,53,50,65,79,92,99,87,69,66,45,43,47,56,75,72,94,114,97,69,63,64,79,93,102,102,94,74,53,50,57,54,54,57,83,79,98,114,98,76,74,78,97,111,116,108,92,63,43,42,45,50,57,64,1
109,138,145,140,143,137,129,140,149,173,181,176,172,169,177,196,199,191,165,146,134,148,143,139,151,148,134,134,142,163,174,175,176,173,175,187,172,177,169,164,165,168,156,146,150,144,130,127,138,154,163,167,172,164,156,160,162,174,176,175,163,166,160,147,136,126,124,128,135,142,146,153,165,159,149,152,166,180,178,167,154,150,147,140,130,127,131,134,128,130,130,142,159,161,158,165,167,183,179,165,180,156,147,149,147,149,145,133,133,131,129,139,152,152,150,160,173,190,186,171,200,172,164,168,164,163,159,142,147,149,148,153,156,143,136,147,177,190,180,158,186,167,172,178,165,164,169,161,157,161,165,173,171,152,141,151,169,178,160,134,173,167,162,177,191,173,161,183,187,187,180,171,167,168,164,156,154,150,154,166,145,149,153,162,170,162,156,163,170,172,167,158,152,154,154,153,157,157,159,164,145,146,150,145,139,145,153,150,164,164,159,148,142,148,158,164,162,167,169,165,151,146,155,154,136,139,152,146,159,154,147,140,139,148,159,167,163,174,178,169,143,135,154,167,149,138,144,142,143,139,137,141,148,152,152,151,161,174,182,177,159,147,150,153,139,129,137,149,146,146,151,165,175,172,160,150,161,170,179,182,172,171,159,146,144,145,153,169,168,167,171,182,190,186,178,173,167,167,173,179,151,177,177,168,181,187,182,185,183,177,173,176,179,180,184,191,175,167,166,174,131,143,162,182,195,198,195,191,185,184,167,154,162,168,166,166,169,172,169,162,129,138,150,162,170,175,179,182,188,189,177,168,177,180,172,169,173,169,156,141,137,146,156,160,160,160,165,170,173,177,172,171,183,184,172,167,172,158,135,115,144,159,175,177,167,157,154,156,152,157,156,163,180,181,169,164,162,144,120,103,0
135,138,141,139,130,119,117,121,116,121,125,121,113,109,110,115,117,132,140,130,137,141,140,130,119,115,119,125,120,124,125,123,119,115,113,113,122,135,140,129,133,138,131,116,107,112,122,126,116,114,114,115,117,116,112,109,122,132,134,125,126,129,123,108,104,113,117,113,97,92,89,91,100,106,106,103,112,122,129,123,127,125,119,112,112,112,101,86,72,65,59,63,77,90,97,99,106,118,129,134,129,124,120,119,116,102,78,59,52,46,41,43,55,72,87,95,106,118,133,144,124,116,114,117,107,79,53,43,39,37,35,35,41,55,73,85,106,115,130,142,111,104,105,110,94,61,40,39,32,35,35,33,33,44,62,76,101,109,121,133,110,108,105,97,79,56,41,38,36,32,30,31,31,35,53,75,103,128,121,121,113,113,111,102,82,57,45,43,36,32,31,33,32,33,48,67,95,121,116,114,120,122,120,110,88,62,47,45,39,35,33,36,34,35,47,63,93,117,111,109,131,127,124,118,100,75,53,44,43,38,36,39,39,41,54,71,97,116,106,104,133,124,118,120,115,96,69,51,50,43,40,44,47,53,67,84,102,111,94,95,130,116,109,115,123,113,89,71,63,55,53,58,62,67,81,97,101,104,83,86,131,114,104,110,121,118,104,91,82,77,76,81,85,86,94,105,103,106,82,84,135,118,104,107,116,116,108,102,100,96,95,102,104,99,102,110,108,110,90,89,130,118,110,111,112,107,101,101,102,107,109,105,103,105,109,111,106,110,100,88,121,114,112,117,119,116,112,113,103,107,108,106,104,107,111,114,117,121,111,100,113,113,115,120,121,118,117,119,103,106,108,108,108,110,114,117,127,132,122,112,114,116,117,117,113,110,111,116,106,106,107,110,111,112,116,120,130,134,125,116,1
216,212,182,151,133,112,111,135,175,171,147,132,157,187,192,185,182,162,143,134,182,170,149,140,144,141,140,148,161,168,159,155,178,199,195,185,175,156,138,129,158,145,145,155,161,168,172,167,153,163,159,156,171,178,167,157,165,150,135,132,159,151,163,168,157,161,171,165,145,150,139,131,136,140,135,134,141,133,124,121,165,151,150,144,127,132,146,140,132,132,120,111,119,124,129,139,138,136,133,128,168,150,133,122,118,127,131,123,121,120,113,112,119,121,122,133,135,142,147,144,170,174,166,157,158,150,134,123,115,116,111,116,123,116,110,117,116,131,144,143,170,205,219,212,202,171,136,127,108,109,108,116,125,116,107,115,126,145,157,151,164,201,205,196,198,172,136,130,132,117,110,130,121,104,123,132,139,151,150,133,178,181,171,168,175,161,141,145,139,133,115,111,107,115,137,129,132,136,139,137,205,188,175,172,163,142,129,129,144,138,118,115,115,130,151,138,121,123,136,153,209,196,186,172,146,127,119,112,111,100,93,113,117,114,129,123,118,129,147,164,165,159,147,129,122,132,136,122,90,90,92,110,110,105,116,105,120,138,151,151,109,114,109,107,130,154,144,116,98,116,111,105,102,118,132,104,118,127,129,118,97,118,119,125,149,149,122,104,100,113,104,96,100,126,143,115,121,105,89,83,119,146,145,138,144,122,100,112,109,104,95,109,124,141,161,146,132,92,61,62,125,129,118,107,111,115,112,113,109,105,114,110,121,144,147,153,158,111,58,61,104,107,96,86,92,97,96,99,109,104,110,105,116,132,124,127,160,128,66,58,92,93,83,73,81,87,90,95,114,109,110,107,122,132,112,110,161,152,76,53,95,95,82,74,83,89,92,100,117,111,108,107,134,141,114,112,158,171,82,47,0
135,127,111,94,97,113,123,122,136,133,126,120,120,124,122,116,115,94,100,127,112,126,138,137,129,121,117,114,136,134,127,121,122,130,135,135,121,101,100,113,113,118,125,127,121,112,111,115,133,135,131,125,122,126,132,135,132,120,120,124,135,110,90,93,104,110,115,120,126,131,130,121,113,113,113,113,112,113,122,126,132,107,90,99,117,124,122,120,125,127,123,113,109,110,114,114,112,115,125,126,112,107,105,111,117,118,120,124,132,126,115,109,115,129,138,141,138,132,132,126,107,114,116,111,108,112,123,129,120,111,99,100,117,136,143,139,128,116,114,112,116,125,127,121,120,128,132,130,94,85,78,85,106,123,119,106,109,98,103,112,123,117,120,121,118,124,130,124,81,63,53,68,89,97,93,89,90,96,118,131,112,109,116,123,123,126,115,90,70,60,55,64,76,82,77,69,70,76,99,116,114,109,113,119,124,126,102,63,54,55,55,57,64,68,62,54,54,55,72,87,127,118,113,111,114,120,99,59,45,49,50,52,60,66,60,50,55,50,60,72,128,120,114,106,100,104,89,58,47,45,44,49,59,66,60,49,50,49,65,81,118,113,111,106,92,84,68,47,49,43,42,50,59,58,50,45,35,44,72,100,118,109,111,110,91,70,53,37,44,36,42,56,60,48,41,45,42,54,87,114,128,111,110,113,92,66,49,37,36,31,43,63,62,43,37,48,69,78,104,122,139,130,125,126,113,83,59,48,32,44,58,63,53,39,42,53,73,123,142,132,129,119,114,118,111,86,62,49,47,51,56,56,51,50,62,79,105,144,147,126,129,119,115,122,121,103,80,68,66,60,52,47,50,64,89,111,135,159,142,107,134,128,128,134,131,117,101,92,77,65,50,43,52,76,107,129,151,164,133,88,1
130,120,113,111,105,96,100,112,117,124,128,129,130,129,123,116,124,125,127,127,134,124,115,106,93,79,81,91,105,116,126,125,123,122,123,123,123,124,127,130,130,121,110,97,78,61,62,71,89,108,122,123,118,119,124,129,124,125,128,131,116,110,101,87,67,53,55,65,80,98,116,121,120,122,126,129,127,127,128,129,106,101,92,79,62,52,55,62,76,91,108,118,123,126,127,124,129,128,128,127,107,101,89,75,62,54,54,56,69,80,93,106,117,125,123,117,128,127,127,127,113,104,90,74,62,55,51,49,59,68,78,88,101,114,118,117,126,125,125,125,116,106,90,73,62,56,50,46,49,58,67,75,88,103,115,119,126,125,124,123,115,105,89,72,58,48,45,47,44,47,57,70,82,91,103,113,120,122,123,126,114,104,87,69,54,45,41,42,43,45,52,63,73,85,100,112,122,123,124,125,115,106,89,68,53,43,39,37,43,43,47,56,65,77,96,112,116,116,117,116,118,110,93,71,55,46,40,35,42,42,46,54,62,74,93,110,111,111,112,111,117,112,98,76,59,50,42,34,39,41,48,54,62,72,89,105,113,113,114,115,116,115,103,82,67,58,48,36,38,42,50,57,62,69,86,103,113,114,115,116,118,120,112,93,78,70,58,43,45,48,56,62,66,73,91,108,114,115,116,117,121,127,120,103,88,81,67,51,53,56,63,67,70,78,97,116,120,121,122,122,122,120,119,117,112,101,86,74,71,72,67,67,81,107,124,132,131,131,130,131,119,117,117,115,113,105,93,83,82,84,86,91,105,127,142,148,130,131,130,130,115,114,114,114,115,110,103,95,90,94,99,107,121,137,147,148,132,132,129,127,114,112,111,113,115,113,109,103,98,100,105,112,122,131,135,135,135,133,130,128,1
163,146,146,167,173,154,144,150,132,127,128,139,153,163,170,176,166,162,162,167,173,157,152,162,162,148,139,139,127,125,128,135,140,145,156,165,158,156,159,166,169,163,160,158,153,145,138,137,130,130,132,133,129,131,143,158,160,159,163,172,168,180,183,172,159,151,147,143,142,140,137,134,129,130,143,157,153,154,162,173,173,198,212,197,174,164,161,158,161,153,145,144,143,147,155,164,138,140,149,163,155,183,202,194,177,173,176,177,178,169,163,166,170,171,172,173,149,148,152,161,137,154,168,165,162,167,176,181,174,170,171,178,183,179,171,167,167,161,158,160,143,147,147,145,147,154,163,168,155,157,166,176,178,168,155,149,162,155,152,153,158,148,153,152,142,150,156,139,139,145,155,163,165,157,144,134,151,157,162,162,155,152,159,157,144,147,152,138,148,144,143,149,156,154,142,129,151,155,161,167,136,137,146,147,140,146,155,152,147,144,141,141,144,146,146,144,152,151,151,155,118,125,139,147,150,152,151,148,130,141,151,150,143,147,164,181,169,161,152,147,141,147,154,163,172,165,151,144,140,155,168,168,162,165,182,199,187,182,173,166,184,174,156,152,167,172,173,183,186,187,187,186,183,179,175,173,181,181,181,179,172,160,133,126,146,161,176,202,200,198,193,192,188,179,166,156,173,172,172,175,120,126,117,122,143,144,146,168,169,178,186,188,184,178,175,174,182,174,167,169,106,117,128,136,149,163,165,158,158,163,172,179,175,169,173,182,183,175,167,165,112,123,133,142,157,174,178,172,156,155,154,154,150,151,163,177,181,173,163,160,143,149,151,152,159,170,169,160,154,151,147,143,140,142,156,169,167,157,145,138,174,173,166,156,154,157,150,138,144,148,151,151,148,146,150,154,154,142,127,117,0
180,172,157,184,199,171,155,151,165,183,176,172,202,215,193,175,159,154,146,139,166,166,159,182,184,149,143,154,151,175,176,173,194,202,185,174,159,158,154,150,150,150,143,168,170,134,133,152,130,160,179,186,198,194,174,163,140,144,147,145,148,138,127,158,171,142,139,152,123,151,184,209,217,202,171,148,137,146,153,153,151,144,133,161,175,152,150,161,133,146,180,215,224,206,170,140,138,151,160,160,147,155,149,164,167,147,153,162,138,138,167,200,203,184,159,138,148,159,168,168,145,159,152,160,166,153,157,155,139,137,168,197,182,160,151,144,169,180,188,189,155,163,148,157,177,175,170,152,142,146,186,212,184,154,154,157,171,179,187,189,144,165,143,180,182,160,146,152,146,145,175,198,178,161,161,158,150,149,156,168,159,153,136,163,180,175,158,148,148,151,168,175,164,167,170,156,146,143,147,155,154,134,145,151,174,182,167,145,148,155,162,155,155,173,177,154,158,153,149,149,133,121,168,158,167,175,168,153,151,157,157,150,155,173,175,159,178,168,156,147,129,126,176,161,163,172,172,163,164,160,151,148,156,164,168,174,184,173,155,140,146,143,163,156,162,174,176,170,179,164,144,142,154,154,159,180,177,169,154,139,146,158,147,156,161,166,167,169,178,164,140,139,157,154,148,162,173,168,157,143,130,164,143,164,159,152,153,165,168,161,139,141,165,159,138,137,168,165,156,145,147,141,139,145,149,136,153,190,199,147,144,138,154,165,124,127,161,156,154,160,131,129,135,151,156,147,163,197,186,151,159,156,171,179,134,128,154,146,144,148,118,119,133,161,163,158,170,201,177,161,175,171,183,194,153,138,134,128,123,126,118,119,135,171,163,162,171,198,177,175,185,174,182,197,169,151,121,115,109,112,0
149,170,153,139,139,106,108,173,208,164,133,125,142,127,144,127,114,155,95,133,133,144,142,145,152,131,118,138,194,159,120,120,143,141,154,148,100,122,122,117,113,124,133,148,159,150,127,119,174,159,110,116,140,152,161,173,110,102,156,114,104,123,126,137,159,147,124,129,159,168,120,125,139,155,160,186,143,112,163,127,110,129,109,114,158,143,111,131,154,184,151,150,146,152,157,185,174,138,141,145,120,128,95,94,147,146,107,108,140,184,181,177,163,153,160,176,185,168,132,155,130,125,104,89,112,140,126,88,113,162,193,191,178,155,168,164,175,182,149,148,134,126,124,93,74,128,148,85,90,138,190,194,185,158,174,155,156,183,168,131,121,140,134,118,98,105,124,105,89,103,157,202,199,191,180,149,147,176,178,141,111,133,138,133,114,111,123,106,93,108,138,178,203,195,178,175,144,164,177,158,95,115,130,143,129,113,116,99,86,99,110,155,212,210,178,181,148,150,174,183,91,101,117,144,140,120,116,98,93,91,90,126,187,208,190,180,162,137,162,198,102,99,106,139,144,130,128,111,117,103,100,107,129,175,202,191,173,128,142,191,120,106,99,124,131,125,132,119,122,116,128,124,109,146,190,190,181,127,124,176,145,127,106,113,110,107,122,115,116,117,128,140,142,148,164,175,189,140,124,169,171,152,123,114,99,94,114,111,127,114,100,128,169,163,152,174,196,155,135,173,206,163,121,119,104,86,101,108,125,136,119,112,148,174,166,157,190,173,161,180,204,162,119,121,115,96,102,101,120,137,129,120,145,169,168,167,186,180,171,184,201,161,117,124,127,108,103,95,103,127,129,120,132,152,162,169,179,190,185,189,196,164,120,126,134,114,104,97,91,114,124,117,121,140,156,165,168,197,194,191,0
89,99,108,136,167,193,207,186,160,159,150,133,107,91,102,123,190,194,121,103,91,99,110,145,177,201,216,198,147,140,141,145,133,113,115,135,181,185,130,120,97,102,114,154,186,205,219,204,144,129,136,164,165,135,125,142,164,169,138,140,104,106,117,156,184,199,210,194,135,114,126,171,182,150,139,159,159,162,151,158,103,109,120,156,180,192,197,174,107,88,105,158,181,164,161,183,169,169,166,170,93,110,126,157,178,186,182,146,84,71,86,137,171,172,175,190,178,178,169,162,81,112,135,160,175,179,162,110,68,61,76,124,170,189,191,188,183,183,165,146,75,114,142,162,171,170,145,81,50,49,67,118,177,212,211,199,191,190,164,138,72,100,127,150,165,165,128,59,40,48,69,109,167,209,205,181,175,160,152,175,77,98,122,146,162,159,117,53,36,42,61,101,159,202,199,174,151,145,143,170,79,91,114,137,157,152,102,47,41,42,57,94,154,201,202,180,142,146,147,172,78,82,102,125,153,149,93,48,46,46,56,86,143,195,205,191,159,173,170,182,72,73,93,112,148,149,87,52,48,48,53,75,124,175,192,181,166,194,190,190,69,71,90,99,139,148,82,54,52,52,58,75,119,163,172,155,152,198,198,193,67,73,90,87,128,142,74,50,48,50,60,85,130,167,159,126,135,199,208,202,68,76,91,79,120,138,68,44,37,40,56,90,141,174,151,106,131,204,221,213,70,62,70,77,95,133,71,33,41,41,53,82,139,161,126,116,146,195,209,210,72,64,69,71,86,126,70,37,34,34,42,64,120,153,139,146,177,208,206,203,74,67,70,65,76,118,69,41,34,36,43,61,115,155,157,177,217,225,209,205,73,71,74,64,70,113,69,44,35,40,52,72,125,163,164,182,187,187,165,165,1
150,137,138,128,102,118,169,203,183,157,145,160,170,167,170,182,162,147,170,194,157,137,140,142,122,134,184,217,183,166,160,171,177,168,161,162,157,156,180,202,150,144,169,185,165,162,194,220,188,182,180,183,181,168,151,141,143,156,171,180,140,151,187,200,177,173,196,208,187,188,182,174,166,158,146,136,148,168,172,165,133,138,157,162,153,168,187,179,158,160,153,137,128,132,141,146,148,167,169,160,119,111,126,143,151,165,157,123,111,114,108,93,85,101,131,156,145,154,163,164,110,102,131,164,160,138,107,72,74,80,80,69,60,75,119,158,149,145,165,182,120,112,148,179,147,94,66,54,62,70,75,66,55,65,111,156,130,119,148,177,148,170,194,182,120,53,37,56,63,63,65,63,55,63,107,155,143,107,126,159,169,206,210,151,78,42,40,46,63,61,61,54,45,59,113,170,165,124,122,144,196,217,195,119,53,36,39,39,55,56,56,50,40,58,114,172,183,149,132,139,210,189,150,102,59,36,33,38,45,48,51,50,47,63,110,157,180,176,157,146,212,177,136,102,65,34,29,41,38,39,44,50,57,75,114,149,177,198,178,144,204,196,167,114,64,37,37,44,39,41,48,60,75,99,132,161,183,204,180,135,196,207,192,141,88,64,58,58,49,60,77,95,110,130,157,180,190,193,171,139,191,198,194,166,126,95,77,72,58,80,109,131,142,154,173,190,191,179,164,155,181,186,196,185,154,132,114,96,88,121,147,165,186,194,189,187,191,182,192,193,193,196,206,207,193,185,171,151,146,173,189,197,209,212,206,204,196,188,199,202,203,201,211,220,222,225,215,194,195,213,218,213,217,217,211,209,208,199,207,203,208,204,212,221,225,229,222,201,208,222,218,206,207,208,205,206,214,204,209,197,1
147,125,100,108,141,157,156,158,141,115,125,156,167,173,179,171,168,134,101,92,140,130,122,133,144,135,133,151,141,121,135,168,181,182,179,165,159,137,119,116,135,129,134,152,155,132,126,148,144,133,150,182,194,188,175,160,156,150,147,150,132,128,129,147,164,156,148,157,154,152,168,190,196,183,170,162,165,166,172,179,130,135,131,134,155,168,170,172,171,177,187,194,191,176,168,172,180,183,189,197,130,150,148,132,138,157,172,182,187,197,198,194,190,176,169,181,189,191,197,205,134,156,158,143,140,149,166,185,191,202,196,190,192,179,169,180,188,193,199,204,141,152,155,154,155,155,166,184,188,197,189,186,194,182,166,173,185,194,201,201,151,165,171,182,159,174,172,173,186,185,187,187,185,174,161,152,166,195,195,179,158,175,177,177,173,187,189,191,195,194,192,193,189,175,155,140,172,194,189,171,162,182,179,161,180,192,198,203,198,194,192,192,191,183,169,156,181,192,185,171,167,187,178,146,182,189,199,203,203,199,193,189,188,186,183,181,186,190,189,185,170,186,175,145,181,188,197,202,208,206,202,194,185,178,177,177,174,175,185,196,164,174,166,152,175,181,187,194,195,199,201,200,191,180,171,166,155,154,174,197,163,167,162,169,168,176,177,183,184,187,192,199,200,193,178,167,151,146,171,197,173,171,169,188,169,177,173,179,194,189,187,194,203,200,184,169,158,151,176,201,172,170,170,176,178,164,163,185,188,185,190,191,186,187,183,166,154,172,179,182,166,171,172,177,179,169,168,185,202,190,184,180,178,186,187,172,165,176,176,172,152,168,172,173,177,171,170,179,193,177,168,165,168,179,182,168,167,172,161,148,135,158,169,167,170,170,167,171,168,160,159,163,166,175,176,162,164,165,149,130,0
102,107,90,105,99,130,143,138,156,161,157,164,129,84,87,81,92,105,163,189,111,99,78,78,101,142,141,131,171,182,178,185,155,104,97,99,103,116,168,189,104,91,90,78,128,160,142,141,164,187,193,204,186,123,92,94,107,122,169,185,124,96,110,110,188,209,174,184,188,212,214,216,203,136,88,93,110,131,173,182,137,97,119,141,216,213,162,177,217,233,231,217,200,146,99,106,126,152,191,196,122,123,171,197,203,146,88,107,179,215,244,235,215,173,126,124,141,173,209,209,128,162,205,218,158,84,43,56,96,157,232,229,196,167,127,118,124,164,201,201,142,156,150,152,89,54,35,31,23,90,173,159,111,95,74,71,95,140,179,181,129,116,76,48,49,45,39,51,13,51,79,70,44,30,27,25,54,83,132,161,106,100,65,37,38,38,35,44,50,40,30,26,23,22,22,21,27,47,90,121,96,98,73,41,37,43,46,50,55,36,25,28,26,18,19,28,22,29,61,95,116,129,115,78,52,49,47,44,36,30,31,35,30,18,18,26,23,19,42,73,136,158,163,128,84,59,41,22,47,41,32,28,29,32,28,21,27,19,38,61,125,151,176,168,129,100,74,45,48,55,59,52,42,34,26,20,29,29,46,61,110,124,157,174,163,154,141,115,69,83,103,112,94,64,45,40,50,61,81,89,113,108,133,160,170,182,185,165,155,142,150,177,182,149,113,98,103,123,146,149,138,120,141,152,145,144,163,197,198,179,159,176,188,174,161,139,137,162,186,190,142,125,140,144,131,129,139,161,181,169,145,150,156,154,163,155,162,183,203,208,147,134,147,141,129,131,132,140,160,161,140,132,129,136,159,159,159,172,186,190,143,136,150,144,138,150,146,143,150,163,150,135,126,132,153,148,142,148,156,161,1
114,129,147,147,137,138,131,109,110,117,122,120,119,118,114,110,115,125,138,146,110,114,134,147,139,131,131,126,119,119,120,124,132,132,117,101,111,122,137,146,124,114,134,163,161,148,150,156,136,126,116,119,133,136,118,96,109,116,124,127,141,122,132,160,171,169,168,167,154,141,125,122,133,144,141,131,139,137,133,128,149,124,116,125,143,162,166,154,160,157,147,139,142,153,164,168,167,164,159,153,156,136,117,104,112,142,158,146,156,161,160,148,137,136,140,144,139,142,145,147,150,147,140,120,107,123,145,146,151,156,155,143,129,120,114,109,102,107,115,123,130,144,158,143,111,106,125,138,150,151,148,140,136,132,125,115,107,110,115,121,125,137,150,150,142,132,129,131,140,155,165,162,153,150,149,146,135,125,114,110,120,129,141,150,152,148,142,137,140,149,156,155,153,155,154,149,142,126,104,89,119,119,123,134,145,151,147,142,145,149,152,153,157,161,161,157,151,137,117,104,124,115,107,109,120,130,135,135,140,144,149,151,152,153,154,153,147,142,136,135,127,117,106,100,103,109,116,120,127,133,142,144,139,134,134,139,133,131,132,134,126,123,117,113,111,112,115,117,127,134,144,146,139,131,133,139,134,131,128,127,130,127,125,127,130,135,137,138,145,146,153,159,157,151,153,160,157,153,149,146,135,129,125,130,141,154,162,164,158,155,158,166,170,169,171,177,176,174,171,167,152,141,135,130,130,146,162,160,144,139,144,156,162,162,171,184,175,171,154,141,173,163,151,136,121,122,128,121,112,117,131,145,147,145,158,175,161,161,147,134,199,192,184,163,138,130,131,124,113,126,142,148,137,127,135,153,156,162,152,139,211,211,210,192,163,152,152,145,137,149,160,155,134,117,122,136,156,168,163,149,0
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184,192,191,188,198,207,211,220,210,225,208,205,202,195,203,183,190,179,172,172,186,186,190,194,202,209,208,201,199,207,201,213,204,183,196,197,200,187,175,174,185,181,193,199,193,204,212,201,223,222,208,211,207,197,206,206,172,175,177,177,188,180,198,200,180,197,225,222,217,217,202,193,203,211,190,151,122,154,181,184,195,183,196,201,187,205,227,217,183,160,128,105,115,141,138,122,114,149,180,187,201,187,192,203,205,208,194,161,119,80,58,42,40,55,86,135,145,157,171,182,196,194,197,202,199,174,128,86,39,28,56,64,50,43,64,125,164,164,171,184,184,200,207,199,178,130,72,38,30,33,63,57,42,52,81,139,162,168,184,199,200,197,203,197,153,90,53,49,26,33,42,36,36,39,68,140,173,172,182,200,204,201,204,197,155,96,62,60,44,40,46,45,46,43,63,129,174,172,183,202,208,206,207,196,155,99,68,67,49,35,39,41,47,50,67,123,178,177,187,205,210,209,208,195,153,98,64,60,46,34,36,31,43,71,102,147,185,185,193,208,212,209,209,197,156,100,61,48,53,45,44,26,39,95,143,178,185,188,196,210,211,209,208,199,166,114,71,51,57,44,42,24,37,101,154,181,182,189,199,211,211,207,207,205,181,138,95,72,61,35,37,39,56,113,158,181,182,193,205,212,211,206,207,208,193,157,117,93,73,34,43,67,93,138,173,197,187,199,211,214,213,210,206,203,201,186,154,121,82,86,105,126,136,165,167,215,202,213,210,204,210,207,204,205,209,200,168,134,129,137,156,171,165,177,171,212,203,217,215,208,210,207,204,208,218,214,183,145,133,145,167,185,166,166,156,185,193,212,213,203,214,210,205,209,222,221,188,146,133,145,166,192,170,164,154,169,182,206,210,197,1
181,194,192,177,164,152,150,160,157,158,172,180,176,184,199,206,219,190,177,180,171,185,189,185,178,163,157,166,162,161,172,179,177,184,197,199,209,187,179,186,174,181,182,185,182,167,161,172,178,175,183,188,187,194,201,197,194,177,174,179,186,183,174,172,173,163,162,179,193,189,195,199,196,204,207,197,176,164,166,169,181,177,166,164,169,165,169,186,196,193,196,198,197,205,204,190,170,162,167,170,164,172,170,171,179,180,182,192,193,194,199,200,197,205,205,190,184,176,177,178,168,186,190,184,190,194,194,196,192,197,204,205,201,209,211,196,197,186,181,177,186,208,208,192,193,198,197,196,189,195,205,205,202,210,212,197,195,183,176,171,195,200,204,200,191,187,191,199,196,215,203,211,222,205,207,217,204,151,157,155,187,193,197,196,190,187,189,192,191,208,196,201,212,202,207,214,204,163,172,171,177,182,188,191,192,191,192,192,196,211,200,203,210,207,216,218,188,161,172,174,173,175,179,185,190,194,196,196,190,201,190,194,198,197,208,204,178,161,164,168,178,176,176,179,183,189,190,191,191,193,184,193,192,188,200,195,179,164,151,154,185,181,177,175,175,176,177,178,189,176,169,184,180,171,188,185,163,154,129,126,187,184,181,176,173,170,170,170,172,146,135,158,151,141,163,168,153,158,133,133,184,185,184,181,176,172,171,171,180,143,131,157,150,139,167,178,169,187,170,176,177,170,167,175,186,186,173,159,134,141,159,163,148,148,165,177,166,178,190,191,164,164,167,175,182,181,175,167,143,153,165,157,137,143,162,172,158,169,178,177,155,162,170,175,176,174,172,170,161,174,178,155,135,152,175,177,165,174,180,176,160,166,174,176,173,168,166,164,172,186,183,153,140,171,193,181,181,188,190,185,0
110,109,117,137,160,184,207,221,214,212,210,209,208,209,210,210,217,215,210,204,138,150,172,195,209,215,219,221,211,210,209,209,209,209,209,209,210,212,213,213,151,176,208,229,231,225,216,209,207,207,208,209,209,209,208,208,204,209,215,220,152,181,212,224,219,213,208,203,204,205,207,208,209,209,208,207,204,208,214,217,161,192,218,219,209,209,211,210,203,205,206,208,209,208,207,207,207,209,211,212,166,201,225,220,207,208,210,206,206,206,207,208,208,208,207,207,207,208,209,207,167,203,227,218,204,206,208,201,209,208,208,207,207,207,207,208,207,208,209,209,173,208,229,218,205,211,214,207,211,210,208,207,206,206,207,208,207,209,210,210,156,207,229,212,205,213,210,202,206,206,206,207,207,208,208,208,208,209,210,211,153,206,231,216,206,212,212,208,206,206,206,207,207,208,208,208,206,208,209,211,157,208,232,217,205,208,209,209,207,207,207,207,208,208,208,208,209,210,212,214,173,213,228,214,205,206,205,205,207,208,208,208,208,208,208,208,210,210,211,213,188,215,221,211,209,211,207,205,209,208,208,208,208,208,208,208,208,207,207,207,189,208,212,209,213,214,207,204,209,209,209,209,208,208,208,208,211,210,208,206,176,196,205,206,209,205,195,192,210,210,210,209,209,208,208,208,212,211,209,207,163,187,200,203,201,191,179,177,210,210,210,209,209,208,208,208,206,204,202,200,152,188,214,213,202,183,167,166,206,215,200,203,211,204,208,204,204,203,203,202,158,189,209,208,202,190,178,177,204,217,205,206,211,202,205,201,207,207,206,205,165,191,203,201,202,199,191,189,195,215,208,210,211,201,205,203,208,207,207,206,170,191,199,195,203,206,198,193,181,209,210,212,212,203,209,208,205,204,203,203,0
105,106,107,107,113,124,131,134,117,105,106,118,116,104,111,131,118,121,118,110,119,112,105,98,93,92,100,109,122,124,122,115,114,119,121,116,94,89,90,102,123,114,112,115,108,96,96,108,116,117,112,107,115,128,131,126,105,90,91,114,114,108,121,146,145,119,104,107,99,85,82,92,101,103,112,126,131,116,111,122,111,106,124,156,158,122,90,82,72,66,69,76,76,69,73,84,116,118,117,115,116,110,127,154,153,117,85,75,47,67,76,67,63,67,62,49,86,106,122,124,113,115,133,151,144,112,88,81,48,65,70,60,60,69,65,50,69,90,119,139,104,114,134,145,131,99,78,73,70,60,51,52,53,52,55,58,57,70,102,137,116,113,114,111,97,73,57,55,64,50,44,52,58,52,48,49,51,54,86,121,114,115,116,103,75,50,48,60,75,54,42,48,56,54,50,50,49,49,75,106,112,113,112,97,66,43,49,68,63,46,38,49,64,66,62,59,51,45,62,88,111,110,108,96,72,54,59,76,52,45,47,62,74,74,66,60,54,47,61,84,119,123,123,107,76,55,67,92,71,70,71,75,73,65,58,54,51,46,63,86,135,146,150,125,80,54,73,108,89,86,82,74,64,58,57,59,46,44,59,76,128,138,146,130,92,64,72,95,85,81,74,65,59,58,60,61,52,51,63,73,103,106,115,118,102,77,63,63,76,72,66,61,58,56,52,46,62,63,77,87,70,113,114,101,101,100,90,59,60,51,52,61,58,43,41,51,83,96,115,101,98,132,126,113,115,120,127,113,80,63,53,55,56,55,68,87,113,115,119,95,104,129,118,105,100,98,112,114,108,97,94,102,106,104,111,124,117,113,113,90,106,130,122,114,101,84,94,102,83,80,85,98,102,95,92,96,100,97,105,94,1
161,167,176,183,189,193,196,198,196,195,192,183,171,165,166,168,169,167,164,162,164,170,179,186,190,192,193,194,193,193,190,185,177,172,171,172,172,170,168,165,168,175,183,190,192,192,191,190,190,189,187,184,182,179,178,176,178,176,174,171,173,179,187,193,195,192,191,189,188,186,185,185,186,183,180,177,182,180,178,176,178,183,191,197,197,194,190,189,187,187,185,185,183,182,178,174,178,176,174,172,183,188,194,197,194,191,187,184,185,185,184,181,179,176,174,172,170,169,167,165,190,192,195,194,189,183,180,178,181,182,182,177,173,170,169,171,167,166,164,163,193,195,195,192,185,178,174,172,177,179,180,175,168,166,168,172,169,168,166,164,194,194,190,184,175,168,164,165,174,179,180,173,165,163,168,173,172,173,175,176,190,190,187,181,171,165,161,162,167,171,172,170,166,168,173,179,182,183,184,185,187,187,184,176,167,160,159,162,157,160,164,167,170,173,181,185,194,194,195,196,185,185,180,172,160,155,155,159,152,156,161,167,173,180,185,188,198,199,199,200,178,179,175,164,151,145,147,153,155,160,167,173,180,184,186,188,199,199,200,200,168,168,164,153,141,137,142,150,162,170,179,184,187,185,185,185,195,195,196,197,160,161,159,149,138,136,144,154,169,180,192,197,194,188,184,185,188,189,190,191,155,158,158,149,139,140,150,161,172,186,200,204,198,189,186,184,181,182,183,185,149,151,150,148,151,158,169,177,188,190,196,200,201,195,186,180,187,188,190,191,153,154,152,150,154,163,177,186,195,195,197,199,200,196,190,185,187,188,190,191,157,156,154,153,159,171,186,196,201,199,198,199,199,197,194,191,186,188,190,192,158,156,155,158,165,179,193,201,201,200,199,200,200,198,194,192,186,188,190,192,0
150,141,120,94,134,158,169,154,149,139,127,136,155,150,128,117,129,124,120,122,167,174,173,141,145,141,154,152,124,107,92,101,120,119,113,120,120,119,119,120,168,171,180,161,163,149,154,150,128,113,97,99,108,106,108,127,123,125,127,126,186,178,190,181,182,166,175,171,152,153,140,126,120,113,111,118,136,136,134,132,200,192,206,188,167,146,169,176,176,195,187,160,149,147,141,136,146,139,132,130,188,169,179,164,152,144,170,167,170,193,190,169,165,171,167,161,152,144,136,135,169,146,159,155,158,163,185,166,138,153,158,158,163,161,156,158,158,155,153,154,141,137,166,154,138,136,164,148,138,143,155,175,185,167,154,163,159,163,167,169,160,168,154,172,148,137,133,139,119,139,145,162,151,147,118,139,130,152,173,177,165,173,173,192,168,135,133,144,148,125,115,128,110,122,117,119,125,154,178,180,182,176,181,201,188,134,133,143,159,112,105,131,119,144,155,132,142,164,179,178,196,171,173,194,196,134,136,144,159,126,117,148,156,174,190,171,178,174,172,173,181,166,175,193,191,130,138,154,162,155,131,143,163,162,181,183,198,172,160,173,154,166,183,192,165,115,133,158,146,159,139,147,171,147,166,171,191,165,156,173,152,173,171,166,121,95,112,136,128,132,128,149,169,149,183,170,185,173,164,163,170,181,147,129,84,80,91,104,131,107,103,129,143,142,206,180,190,191,175,149,210,162,123,96,95,104,101,112,137,120,120,135,148,155,175,201,196,197,157,130,202,159,128,108,109,115,103,108,127,124,131,151,167,170,176,187,181,185,150,130,164,132,120,115,124,129,115,118,131,139,145,160,180,185,177,174,165,172,145,134,132,113,118,123,133,137,126,132,149,161,154,154,180,189,176,167,157,166,145,141,0
140,139,138,136,135,132,127,124,117,117,119,123,125,125,123,120,113,112,111,112,139,138,134,131,130,125,120,116,115,114,114,117,120,122,121,120,114,113,113,114,137,133,130,126,121,116,111,107,110,108,106,107,111,114,116,116,115,115,115,115,133,129,124,120,115,111,105,100,101,98,95,95,99,104,108,110,113,114,116,117,126,122,117,113,109,105,101,98,91,87,84,84,87,92,97,99,105,109,113,116,118,113,108,104,101,97,94,92,82,80,78,79,82,84,87,87,93,99,109,114,110,105,100,95,91,88,85,82,76,77,77,79,80,81,80,79,80,90,103,111,106,101,94,89,85,82,77,75,75,77,78,81,83,81,79,76,73,85,100,109,99,94,87,80,77,74,74,73,74,76,77,79,79,78,76,74,76,76,86,103,88,84,77,74,73,73,72,72,71,73,76,77,76,75,73,72,73,74,84,100,78,75,71,69,69,71,72,72,70,72,74,75,75,74,72,71,74,75,86,100,74,73,71,69,71,72,74,73,72,73,75,75,75,74,73,72,75,80,90,103,75,73,71,71,72,73,73,72,73,73,74,74,73,72,73,72,73,81,95,105,77,75,72,71,72,73,71,70,71,72,72,71,70,71,70,70,71,83,99,110,78,76,74,73,75,74,73,71,74,72,72,72,72,71,72,72,79,95,114,125,81,78,77,77,78,78,77,76,77,76,74,74,75,75,75,76,91,109,131,142,94,93,93,94,95,95,93,92,91,86,85,84,84,83,89,97,105,124,144,152,109,109,109,111,113,113,111,110,106,102,99,99,98,98,104,112,140,154,170,173,148,149,152,154,156,155,155,154,150,146,143,143,142,141,147,154,178,188,194,193,177,181,185,188,188,189,190,190,189,185,182,181,180,180,185,193,199,203,203,195,1
191,193,196,196,194,188,182,177,177,176,175,176,178,181,184,187,192,192,192,192,195,196,199,199,198,193,188,184,177,175,174,174,176,179,183,185,190,190,190,190,195,196,197,199,198,195,193,190,180,179,176,176,178,180,182,184,188,188,188,188,191,192,193,194,194,193,194,192,185,184,182,181,181,183,185,187,189,189,189,189,188,189,191,191,192,192,194,193,187,186,184,182,183,185,187,189,191,191,191,191,187,188,190,192,193,195,196,195,186,185,183,183,183,184,186,187,192,192,192,192,186,187,190,192,194,194,194,194,186,185,184,183,183,185,188,189,191,191,191,191,183,185,189,192,193,193,192,191,189,187,186,185,186,189,191,193,190,190,190,190,184,182,183,190,198,200,195,188,192,192,192,192,192,191,190,189,190,190,190,191,184,181,181,188,197,201,198,194,193,193,193,193,192,191,190,190,190,191,191,191,186,182,180,185,193,200,202,201,194,194,193,192,191,189,189,188,191,191,191,192,191,186,181,183,190,198,202,203,194,193,192,191,189,189,189,189,192,192,192,193,196,190,184,182,186,193,198,200,193,192,191,189,188,189,189,190,193,193,193,193,196,191,186,184,185,189,192,195,190,189,188,187,187,188,190,191,195,195,195,194,194,192,187,185,185,187,190,191,189,187,186,186,187,189,192,193,199,199,199,198,192,190,187,186,186,188,189,189,188,186,185,186,186,190,193,195,203,203,202,202,189,189,188,187,187,186,185,185,184,184,184,187,190,196,201,203,203,203,203,203,188,188,187,187,187,187,186,186,186,186,188,192,194,199,203,205,203,203,203,203,186,186,187,187,187,187,188,188,187,189,192,197,200,204,206,207,203,203,203,203,185,185,186,187,187,188,189,189,188,190,195,201,203,207,207,208,204,204,204,204,0
130,111,94,88,85,76,63,54,50,50,48,49,65,93,118,132,135,151,123,81,102,93,86,84,78,66,54,46,39,39,40,48,65,87,109,124,139,160,140,102,82,78,76,71,62,49,45,47,47,40,41,50,59,64,76,90,96,127,129,106,82,77,67,56,42,35,43,56,63,51,47,54,55,48,52,66,55,95,123,124,80,71,59,46,36,33,46,61,64,52,48,54,55,47,52,65,37,79,123,139,71,60,50,45,44,44,49,56,57,49,45,47,48,45,49,58,37,69,119,143,72,56,44,45,52,55,51,49,54,53,51,48,48,48,51,52,60,80,122,147,84,61,42,42,55,60,53,46,54,59,60,58,61,66,68,64,74,81,114,133,77,70,53,47,57,58,51,53,57,60,59,55,61,72,77,74,68,77,115,124,88,79,54,41,52,59,57,57,54,58,59,57,56,62,69,74,56,65,115,137,97,92,65,42,49,61,60,56,54,59,65,66,63,60,69,80,69,70,129,161,96,102,79,49,47,59,60,58,70,75,85,93,91,85,90,99,95,90,146,178,92,103,85,51,43,55,66,73,96,102,113,121,120,114,110,112,100,99,149,175,95,103,85,52,44,55,74,91,108,117,125,124,120,114,107,100,93,107,148,164,101,104,86,64,58,60,71,87,103,120,124,111,100,99,96,86,98,125,149,146,106,106,92,79,74,66,61,69,99,121,127,105,88,92,95,87,110,141,149,127,106,105,114,94,84,56,63,67,84,108,103,79,79,96,107,110,122,123,121,117,104,105,118,106,100,70,65,59,56,77,77,68,80,100,113,122,127,127,123,116,98,95,111,111,122,100,93,80,67,76,76,78,95,107,115,125,136,137,133,124,103,92,101,107,133,124,122,110,100,97,90,99,114,115,114,124,140,142,139,132,1
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60,60,63,65,63,60,66,75,73,72,69,72,77,69,70,87,93,86,80,79,58,59,63,66,65,62,68,76,67,66,63,68,76,68,67,80,88,83,82,86,65,66,71,75,72,68,70,75,64,62,57,62,72,66,61,70,74,73,77,85,88,91,96,101,98,88,83,83,76,71,60,62,72,67,59,63,73,72,76,84,110,114,123,130,127,116,106,102,102,95,80,75,83,79,68,70,80,77,77,81,117,121,129,138,138,129,121,118,127,122,107,100,106,101,90,90,80,74,69,70,126,125,130,136,138,133,129,128,137,138,128,123,128,123,112,111,88,80,73,72,142,138,137,140,141,138,137,139,136,142,137,135,141,136,124,121,110,102,96,94,152,150,147,147,150,152,148,142,135,140,144,145,145,143,136,127,128,125,121,118,152,149,145,146,150,152,149,145,144,148,150,146,143,141,136,130,137,135,132,129,146,143,141,142,146,147,145,143,149,154,154,147,140,138,137,134,139,138,135,133,139,137,138,142,144,141,136,135,147,154,156,151,144,144,145,145,139,138,137,135,139,137,142,149,148,140,133,131,140,150,156,154,151,152,155,155,142,142,141,141,143,142,148,158,157,146,138,139,135,142,147,147,146,149,150,149,142,143,143,143,147,145,150,161,160,151,147,151,147,150,149,145,143,145,145,143,142,143,143,143,148,144,148,159,159,152,152,159,170,168,161,153,150,152,151,147,145,145,146,146,147,148,148,147,146,144,143,142,154,163,169,166,156,151,151,153,155,151,145,141,144,145,144,140,134,128,126,127,142,152,162,166,164,162,162,162,153,151,147,145,129,136,140,138,132,128,132,137,137,143,154,166,171,172,170,168,162,162,161,159,119,129,139,140,135,136,144,153,141,142,149,163,173,174,169,167,170,172,174,173,0
137,140,157,197,175,164,155,170,175,145,119,97,150,195,230,223,241,204,178,221,133,124,129,144,155,141,138,144,144,129,124,120,167,199,227,222,242,213,191,187,136,132,130,117,153,143,154,164,140,128,130,133,164,181,202,205,232,228,231,203,142,161,156,137,167,173,189,215,176,155,138,134,145,151,164,174,194,208,219,200,148,176,159,152,167,190,192,219,199,172,145,145,147,147,141,143,177,183,174,172,164,175,145,147,152,179,166,174,178,160,144,161,167,167,140,125,169,175,166,181,180,172,150,139,141,153,151,146,164,156,145,173,183,193,158,137,147,159,168,174,185,170,169,141,138,132,153,149,179,172,155,180,190,210,181,161,153,159,166,139,194,172,139,128,144,154,151,151,165,176,155,157,201,205,168,153,147,142,136,133,181,174,157,150,160,162,157,159,154,167,141,148,205,204,160,156,149,143,135,130,187,190,179,167,164,157,151,158,161,177,159,162,203,190,154,165,152,144,133,126,189,190,178,162,155,148,148,159,157,165,172,176,171,157,156,171,159,151,141,131,174,175,164,155,159,160,163,174,163,143,171,186,152,157,189,186,164,157,149,143,176,178,171,170,180,183,179,184,184,142,161,178,150,171,204,176,156,153,149,149,184,185,177,176,184,183,175,177,189,157,153,155,145,163,175,148,149,151,154,158,178,176,165,160,167,167,162,167,194,191,174,159,163,171,168,161,155,158,165,174,176,179,171,170,161,158,177,187,206,186,178,180,181,184,172,148,145,155,158,169,185,193,191,182,166,156,165,176,168,165,172,172,161,156,153,140,141,156,161,164,192,206,209,194,176,158,156,168,154,155,168,173,163,158,153,141,144,169,175,166,192,207,212,195,185,171,157,171,172,161,166,179,186,188,174,148,145,178,187,171,0
138,136,135,137,138,138,142,148,162,158,156,149,135,138,145,141,140,157,167,160,132,133,133,133,141,156,166,168,171,171,174,167,148,139,143,148,145,160,168,164,135,139,137,133,142,162,177,181,185,184,186,183,161,140,146,164,160,170,174,167,137,138,137,134,136,148,165,178,190,186,187,191,180,157,158,184,168,173,172,164,120,120,126,133,133,133,150,172,175,173,176,197,209,187,176,196,165,165,163,158,110,114,124,136,138,134,140,153,133,137,146,182,217,203,179,189,167,162,154,149,146,155,158,153,149,145,127,105,80,87,92,130,182,180,158,165,159,149,136,128,198,211,201,173,160,153,110,58,42,48,44,76,134,145,132,143,138,126,113,108,193,212,190,186,178,159,85,43,33,27,41,45,64,103,114,115,131,112,111,122,155,184,187,188,183,154,81,38,29,26,34,28,42,75,97,126,145,135,140,152,126,157,184,189,191,146,79,29,31,38,41,31,39,56,83,142,180,178,181,187,135,151,182,186,198,149,94,39,24,35,42,34,40,38,57,129,199,206,203,196,155,148,166,170,188,155,117,68,33,39,44,38,42,32,45,116,178,199,197,183,156,136,141,148,156,145,128,99,58,49,46,38,38,35,53,117,156,192,193,175,163,146,143,151,130,130,130,124,83,61,55,45,38,47,76,129,153,193,187,156,183,174,169,174,127,127,132,144,120,94,94,82,69,86,120,165,154,190,169,122,178,197,190,151,148,152,126,122,134,145,126,123,119,126,166,175,157,161,128,80,175,179,165,135,143,153,131,133,146,162,155,161,160,160,184,184,155,148,112,73,170,161,146,130,149,155,131,136,151,166,167,177,181,180,190,183,166,145,105,79,167,154,146,146,165,156,123,130,151,156,157,163,170,177,183,178,177,148,109,92,1
190,168,165,163,162,194,211,180,142,144,154,173,178,163,164,187,161,138,156,194,172,155,156,170,182,203,201,170,121,127,128,138,156,170,178,185,165,147,153,180,152,144,150,175,195,191,166,140,85,91,87,88,120,166,185,176,147,140,134,142,144,143,151,173,179,146,108,95,58,57,55,56,88,143,169,158,141,153,146,139,149,151,157,163,143,93,59,60,49,39,40,48,66,108,137,132,131,156,159,153,163,154,154,147,110,63,44,49,47,31,35,44,49,82,115,116,116,142,159,162,178,151,141,129,87,57,53,50,49,33,41,47,49,90,132,132,136,145,162,172,189,146,128,114,76,61,64,51,57,45,53,56,63,119,169,166,153,145,157,168,195,159,116,119,74,34,66,51,52,67,60,63,74,150,171,157,138,157,164,153,211,186,129,110,71,40,65,53,50,59,59,67,72,136,159,144,139,152,158,154,207,204,148,114,89,67,74,59,52,50,61,77,74,123,150,136,143,145,149,151,210,225,167,116,105,94,84,69,55,44,64,83,79,114,147,142,150,141,138,144,227,242,182,118,110,101,79,64,57,46,67,83,85,108,147,156,164,148,138,140,210,226,188,141,134,113,70,47,62,61,81,86,98,109,147,169,175,160,147,143,187,198,184,160,154,128,76,52,62,76,89,82,105,104,136,166,176,167,157,148,202,193,175,153,146,126,88,76,53,77,87,71,100,92,117,151,171,168,161,150,191,190,172,145,133,135,131,118,85,88,90,81,66,75,121,169,173,161,160,162,165,168,160,144,144,157,161,154,116,125,124,94,55,58,120,188,180,171,169,168,149,154,148,139,143,159,167,163,140,162,172,143,93,78,127,186,177,172,167,163,151,152,145,136,138,151,157,154,152,176,195,180,141,118,138,171,167,169,161,153,1
126,122,137,140,114,103,112,112,109,69,38,43,59,63,61,63,52,48,47,49,126,121,124,124,121,123,121,111,122,100,75,63,62,58,48,38,45,43,45,53,102,116,120,116,118,116,114,118,137,130,113,92,82,82,75,64,57,58,66,81,101,119,125,131,138,121,105,117,114,108,97,88,88,98,108,111,107,115,131,146,114,105,99,123,146,118,78,74,71,56,49,57,67,75,89,105,114,129,152,167,108,95,93,110,115,84,52,48,57,41,37,51,57,52,56,69,70,87,112,130,114,111,113,104,77,60,58,57,53,50,50,56,56,51,50,55,50,62,84,104,118,108,97,69,42,50,58,40,34,43,47,43,43,49,54,55,48,54,69,90,112,112,87,55,45,46,46,51,41,42,41,40,39,41,46,49,55,53,57,68,121,113,81,52,49,52,47,43,44,44,44,43,43,42,43,43,51,54,62,69,117,102,68,46,52,59,50,43,45,44,43,43,44,42,39,37,54,66,80,85,110,99,69,48,52,55,46,43,45,43,40,40,41,41,39,37,60,76,94,102,104,100,78,55,47,40,35,39,44,40,36,35,35,38,41,42,54,73,94,101,81,82,68,52,44,35,32,39,39,38,36,33,32,36,43,49,46,73,99,110,77,74,61,52,54,45,37,39,37,40,40,37,34,35,43,51,60,94,127,138,104,92,71,65,70,60,41,33,35,42,46,43,36,36,43,51,84,123,157,160,125,103,84,81,79,70,66,69,62,46,41,52,55,52,69,96,136,160,160,139,129,120,115,112,101,82,72,74,75,68,72,87,97,102,121,143,141,158,152,133,133,136,141,141,124,103,95,99,102,102,107,114,119,126,137,148,142,152,141,125,134,139,146,146,136,124,124,132,123,125,123,116,112,113,116,118,134,143,134,122,1
178,179,181,184,200,178,143,165,180,210,218,203,189,172,166,179,159,151,149,157,161,173,183,175,185,185,155,152,150,185,212,198,180,199,209,185,160,149,140,141,168,149,155,160,169,179,162,152,132,166,223,220,176,188,215,194,166,155,145,141,174,118,131,159,144,128,139,171,154,161,211,241,213,194,209,217,160,159,159,160,143,93,132,172,135,98,123,181,164,142,148,195,225,206,188,199,143,151,161,169,129,88,127,174,168,153,152,166,157,147,131,146,182,180,153,147,140,149,158,160,174,123,129,162,186,194,168,144,151,161,166,164,165,171,155,127,134,144,151,149,231,172,153,157,162,160,140,134,124,123,157,179,174,186,174,120,117,132,144,144,204,202,170,153,156,122,105,143,149,128,126,150,184,212,196,148,133,130,130,134,170,188,185,174,161,126,114,145,165,146,126,143,188,203,184,169,176,148,126,125,152,178,202,203,184,157,149,157,170,155,120,124,167,173,167,190,201,161,131,133,150,164,194,206,191,184,179,164,171,159,135,122,124,129,146,173,173,155,145,151,161,166,190,197,180,186,196,182,176,171,179,156,108,109,137,136,154,169,179,176,151,154,171,168,146,156,183,189,177,176,208,195,132,132,156,131,150,176,186,168,126,123,130,129,122,135,164,183,186,176,195,195,161,159,167,147,148,162,163,146,137,126,121,131,146,165,186,204,206,184,170,172,168,161,156,153,175,174,172,168,115,125,133,155,177,172,185,227,223,197,178,141,155,157,161,174,176,174,155,179,111,140,171,205,217,183,157,171,202,188,186,161,175,168,160,165,179,180,163,190,134,166,197,224,231,188,150,154,175,174,190,179,196,179,156,150,165,168,156,187,156,182,199,214,220,191,166,175,162,161,182,179,204,185,151,134,145,150,140,175,0
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132,129,135,138,142,155,161,151,122,122,131,144,143,134,133,142,152,130,113,115,123,118,133,154,156,146,129,109,91,91,99,117,129,131,128,125,138,122,109,109,119,108,125,153,149,118,87,66,72,69,69,84,111,133,136,128,127,120,115,114,123,111,117,124,105,79,63,52,68,62,52,53,84,123,142,140,116,121,125,124,127,121,115,91,60,51,58,58,63,63,51,41,60,98,126,133,101,116,127,126,131,125,109,75,43,44,60,64,70,80,78,64,63,84,108,119,97,117,130,125,140,115,91,69,49,48,59,61,84,99,103,88,72,73,90,104,108,125,131,118,149,104,73,65,57,52,55,56,89,101,105,88,64,56,70,87,116,131,128,106,150,118,79,52,43,44,49,53,92,101,93,73,60,52,54,68,133,167,112,88,142,113,75,52,50,57,57,53,81,90,82,64,52,46,53,71,128,160,119,108,131,106,71,47,48,60,58,47,65,75,70,56,48,44,56,78,96,125,104,111,137,116,80,49,43,53,55,46,52,63,62,54,52,49,63,87,82,100,90,106,158,138,102,65,48,50,54,52,51,60,60,57,58,54,64,88,106,109,101,108,165,147,115,82,60,51,53,57,57,60,56,58,61,57,65,87,115,110,105,103,158,139,116,100,82,63,56,60,62,59,50,55,64,65,75,98,110,104,106,101,152,132,118,116,106,81,66,67,63,56,45,52,67,75,89,114,120,114,121,113,144,136,135,141,133,103,74,61,68,59,56,63,69,73,87,104,108,126,130,123,123,122,135,151,151,124,95,79,72,62,57,66,75,82,95,109,115,132,134,127,94,100,120,146,155,139,116,102,94,81,73,80,92,101,110,118,126,140,138,128,82,86,103,129,145,142,130,120,117,100,87,92,106,115,121,123,136,146,139,124,1
206,194,168,176,173,146,149,162,174,185,182,156,140,154,165,154,158,162,160,155,205,201,163,143,128,103,108,117,150,181,195,180,167,168,164,156,169,160,157,163,193,204,158,113,94,85,97,105,113,162,185,179,179,172,162,165,170,155,152,165,192,218,166,100,80,80,92,95,101,147,162,160,173,167,158,170,162,158,161,171,162,197,144,79,73,86,96,98,101,136,145,155,181,177,157,162,151,168,180,178,146,176,115,56,67,82,88,91,76,101,122,154,194,195,169,157,143,169,184,175,176,186,104,44,61,69,66,71,65,71,95,137,179,190,173,154,144,161,172,168,168,167,80,31,65,80,83,96,90,74,85,118,151,168,166,148,154,157,163,166,159,146,66,45,64,99,119,146,133,104,99,127,160,179,166,137,174,157,158,170,150,142,68,55,78,112,129,153,139,104,103,142,173,181,174,162,167,154,160,175,182,164,80,58,72,95,101,118,126,98,114,167,190,179,170,171,155,146,154,169,214,181,76,45,54,71,68,79,101,97,132,180,188,169,158,158,153,143,147,156,207,167,61,37,57,78,73,81,96,110,142,163,159,156,157,154,163,152,151,151,204,165,65,47,67,84,74,81,106,120,134,131,129,151,168,163,159,152,153,154,214,179,79,52,60,65,54,66,96,103,112,115,126,157,170,153,139,140,152,160,212,178,77,43,40,45,43,65,70,76,93,116,141,166,161,131,122,132,155,172,229,198,83,48,37,39,32,41,64,92,179,201,131,116,150,144,143,141,159,178,194,190,107,59,51,52,45,37,63,80,150,183,142,132,158,155,151,143,152,166,178,202,164,102,101,95,90,60,60,63,109,152,147,142,155,159,165,149,148,156,188,215,211,146,153,136,131,92,66,59,85,130,149,144,147,159,177,156,149,155,1
169,180,172,145,137,146,133,106,95,103,95,71,60,69,75,71,83,80,76,74,173,172,154,131,127,133,120,94,96,93,81,63,59,69,78,77,85,81,77,73,168,157,141,131,134,134,117,94,93,82,71,65,67,73,77,76,86,83,78,74,145,137,134,142,147,139,119,101,83,74,72,78,81,77,74,76,86,82,78,76,132,128,129,138,138,123,107,100,75,70,71,80,83,76,78,86,88,84,79,75,148,139,131,123,112,97,91,94,77,71,68,74,76,80,89,101,90,85,77,72,164,149,129,109,91,82,81,86,91,82,75,74,80,89,97,102,90,84,76,69,160,146,122,98,81,74,75,78,102,95,85,83,91,99,99,93,89,83,75,69,129,127,100,82,87,80,65,70,83,103,96,87,96,98,90,94,90,85,78,72,118,107,83,65,65,62,58,59,79,90,93,93,101,104,101,102,97,90,80,72,116,94,75,62,53,58,64,63,77,76,88,100,102,103,107,106,95,87,74,65,115,88,76,69,56,63,77,73,82,76,96,118,110,105,109,102,89,82,72,64,99,75,70,69,57,63,77,73,78,81,116,143,130,114,108,95,89,85,80,76,81,65,61,64,60,61,68,72,63,87,126,148,136,114,98,87,92,89,86,84,71,65,57,61,68,63,65,79,69,103,127,129,119,104,94,97,96,92,86,83,67,67,56,59,72,66,64,85,94,127,130,110,102,96,99,117,102,96,88,81,82,69,60,60,63,64,62,62,99,119,129,126,117,104,104,120,117,100,79,69,91,77,66,66,65,64,63,61,104,124,138,139,128,114,113,127,121,103,82,73,91,75,67,68,64,65,67,64,96,115,135,142,129,113,112,122,118,98,79,73,82,63,62,66,60,66,74,68,83,98,127,139,123,104,104,109,107,87,69,69,0
97,109,109,111,122,122,111,108,111,89,80,84,87,96,104,101,95,81,75,84,90,125,143,134,115,96,94,107,113,111,106,92,85,104,118,112,116,114,109,102,114,124,119,108,112,129,152,178,179,184,171,134,109,117,113,81,99,111,112,99,105,116,124,143,180,204,210,213,228,228,220,198,190,197,176,131,95,106,113,110,124,157,186,206,221,219,209,210,215,212,216,223,229,236,227,199,148,141,140,144,183,205,213,208,206,202,203,214,204,199,207,213,206,206,213,212,190,166,149,148,200,209,207,205,210,208,200,199,205,201,208,209,200,200,213,218,193,175,154,143,209,216,209,199,201,200,198,202,208,201,201,200,195,199,201,190,196,193,181,165,205,202,198,195,197,199,205,208,201,201,202,203,203,202,201,202,200,194,186,181,202,201,200,199,200,201,204,204,201,201,202,202,203,202,201,201,202,198,194,192,197,198,200,202,202,203,201,200,202,202,202,202,201,200,199,198,199,197,197,197,196,198,201,203,203,202,200,198,203,203,203,202,201,200,198,198,198,198,197,198,198,199,200,200,201,201,201,200,202,203,203,202,201,200,198,198,201,202,201,202,200,199,199,199,199,200,201,202,201,202,202,202,201,200,199,198,197,200,201,200,199,199,199,200,200,201,201,201,200,200,202,201,201,201,200,200,195,197,199,198,198,199,201,202,202,201,200,199,199,200,201,201,202,202,201,201,200,202,203,200,197,200,202,202,200,198,200,202,202,202,203,202,201,199,200,200,198,202,202,200,197,199,202,202,200,199,200,202,202,202,201,199,197,195,197,199,197,201,203,200,197,199,201,201,200,200,200,202,203,202,199,195,191,189,193,196,195,201,203,200,197,198,200,201,201,201,201,201,205,202,198,190,185,183,189,193,193,200,203,201,0
150,165,138,153,149,126,168,192,194,179,139,89,107,153,146,129,129,141,154,147,151,166,142,147,132,100,131,151,165,166,152,120,140,180,172,160,140,137,150,166,147,152,124,130,127,106,124,135,153,178,189,160,157,176,176,184,161,141,155,190,162,148,110,116,136,132,138,133,140,174,208,203,202,205,192,199,164,142,152,186,190,174,136,125,131,121,110,100,112,140,178,191,200,188,146,135,141,127,133,147,193,194,171,136,105,76,59,59,73,96,130,128,114,91,69,87,126,118,119,119,172,184,170,121,74,46,34,47,44,63,92,85,62,47,57,108,122,111,110,111,160,166,149,95,55,38,36,55,51,51,65,68,65,51,42,73,115,96,95,105,181,192,173,110,54,45,46,29,49,55,61,63,57,50,48,50,70,96,107,93,199,202,175,120,77,56,41,29,41,42,45,50,54,57,59,61,81,96,99,85,193,206,190,154,115,66,33,35,32,29,29,35,47,59,66,68,73,76,72,62,156,194,210,198,163,84,28,36,31,30,29,32,44,57,66,66,65,61,60,60,122,171,211,231,212,124,42,27,27,34,37,37,45,56,64,64,70,69,76,87,113,147,189,232,245,182,84,31,23,34,39,41,47,59,64,62,68,72,81,92,115,131,166,216,249,228,147,73,43,50,54,56,65,80,81,73,69,75,79,78,113,124,157,202,242,248,194,122,74,77,78,79,93,109,107,94,87,92,89,76,137,134,148,173,207,232,221,184,117,103,112,113,105,128,146,125,109,121,137,106,149,138,142,157,182,213,225,214,164,140,136,127,114,138,163,147,131,138,155,134,176,157,150,151,158,180,208,222,189,160,149,135,118,141,168,154,153,150,169,163,192,170,163,161,154,161,188,209,180,152,145,135,119,138,161,146,159,149,169,175,1
137,171,178,164,159,144,128,134,141,140,153,174,184,176,171,172,174,175,175,175,151,173,178,178,182,164,137,128,138,140,151,170,176,171,168,171,167,169,172,175,158,168,172,176,177,157,136,134,148,147,153,165,170,165,164,169,157,162,169,174,153,156,157,149,132,118,127,149,160,152,148,155,160,158,155,155,151,157,167,174,162,151,142,129,111,110,136,163,164,149,136,138,149,154,152,148,148,154,163,170,182,155,138,134,135,152,169,173,165,148,132,133,147,160,163,161,152,157,163,167,171,139,124,130,148,178,187,167,162,149,136,132,143,159,170,174,165,167,169,170,137,109,99,109,130,166,177,150,155,147,135,127,132,148,165,175,177,177,177,175,105,89,84,95,114,141,152,141,144,143,137,145,141,142,160,154,175,176,175,173,89,87,88,90,105,135,146,127,123,149,156,162,158,151,165,165,184,180,176,171,77,85,88,80,87,121,135,117,139,170,157,144,148,153,177,191,174,166,155,148,80,82,81,69,69,95,115,108,132,172,159,147,164,166,169,172,164,152,137,129,95,85,81,75,67,74,88,90,112,157,147,136,152,154,160,167,170,158,144,135,117,100,95,94,83,77,82,81,91,130,124,112,116,122,149,169,169,160,150,143,146,128,117,110,103,108,113,106,87,112,120,130,128,123,133,129,153,148,144,140,169,152,133,116,115,139,152,141,143,132,118,129,136,136,142,122,143,142,141,139,167,171,163,130,133,158,159,168,158,133,111,121,138,136,144,170,164,139,119,120,175,182,177,146,145,162,156,160,155,141,126,133,146,142,144,161,164,145,132,137,175,184,182,154,149,158,142,141,154,157,154,158,168,165,160,165,177,164,158,163,171,179,181,155,149,152,131,129,148,166,172,175,184,187,180,178,171,162,156,156,0
194,191,187,185,182,181,181,179,192,183,185,157,147,150,116,99,104,88,76,75,202,200,197,188,180,175,178,182,183,181,188,161,141,136,112,109,114,93,74,68,204,204,201,190,177,172,177,185,183,181,188,169,146,130,108,108,117,97,77,68,201,201,198,190,179,175,179,184,187,183,185,174,150,120,92,83,97,90,82,78,201,200,198,194,189,185,182,181,188,196,192,175,133,85,60,51,64,77,90,96,206,204,202,200,198,193,188,184,195,214,202,164,98,43,37,38,43,71,101,114,203,204,204,202,198,196,196,197,206,215,178,124,60,21,35,36,33,65,99,115,195,199,203,200,194,195,202,209,210,200,136,77,32,14,37,32,24,53,85,101,198,201,204,204,205,206,208,209,189,147,77,55,35,12,29,32,34,45,60,84,197,201,206,208,207,206,207,206,177,128,54,34,30,20,31,25,34,45,54,75,195,201,208,211,209,207,206,204,182,133,64,36,33,32,40,33,26,47,60,82,192,200,207,211,208,207,208,210,184,141,81,40,23,21,32,37,31,70,91,113,190,197,205,208,207,208,214,218,189,140,83,40,23,24,32,44,50,105,130,144,188,196,204,207,207,209,217,224,186,118,60,26,25,35,35,47,66,126,146,149,186,195,205,210,208,211,216,222,174,99,44,16,17,27,26,50,92,146,147,137,183,196,208,213,211,211,214,219,191,118,73,43,32,33,38,79,127,170,152,130,195,206,214,211,205,206,213,217,216,175,132,77,40,40,57,96,140,153,124,127,186,201,212,212,206,206,209,211,216,194,174,139,118,119,121,140,149,164,137,145,177,194,209,212,207,205,205,205,204,198,196,176,170,177,161,156,147,163,141,154,171,190,207,211,207,204,205,203,196,194,192,169,169,184,159,138,138,154,135,153,1
38,50,39,28,40,46,50,67,63,62,60,58,54,48,42,38,29,32,36,40,39,48,51,52,58,56,54,62,67,67,65,61,58,56,59,60,61,57,53,52,51,50,66,82,78,70,72,72,77,73,68,63,61,63,69,74,66,57,48,44,61,50,69,90,81,75,84,84,80,72,61,57,58,62,63,63,45,40,34,31,60,47,66,87,77,71,80,81,67,55,44,43,50,52,47,39,35,38,41,40,59,59,73,87,80,68,65,64,46,36,28,31,39,41,33,23,31,38,45,46,64,75,80,79,75,58,43,42,29,26,25,27,31,32,26,20,23,28,33,35,68,84,78,62,58,41,22,24,27,28,29,29,27,25,23,23,21,22,23,26,78,88,69,47,42,30,18,26,23,27,30,30,28,25,23,23,26,29,34,39,76,73,57,43,37,28,20,25,21,21,19,17,18,22,30,36,41,47,55,62,80,59,48,42,31,22,23,22,28,27,23,23,28,39,53,62,58,66,76,83,82,51,44,44,24,16,24,24,28,28,27,30,37,50,65,76,99,105,111,113,73,45,41,43,24,18,31,36,45,43,40,42,51,67,86,99,127,127,125,120,60,42,36,37,31,33,44,50,64,59,55,54,64,83,107,121,138,133,125,117,59,51,34,32,48,56,59,62,60,61,62,67,78,93,110,122,149,141,132,127,66,62,37,32,62,76,68,68,70,78,91,103,114,124,130,134,133,125,118,117,75,63,43,43,68,83,84,88,113,113,116,122,128,130,133,136,152,113,93,100,80,74,63,71,100,116,115,117,126,126,129,133,137,138,140,141,145,114,101,112,78,78,76,93,126,141,136,134,137,137,138,139,142,142,140,137,133,114,117,133,76,79,80,99,132,144,136,131,137,138,137,136,137,136,131,124,114,109,125,148,1
202,194,192,199,203,201,199,200,199,187,172,162,165,174,183,189,171,172,173,172,201,196,195,199,202,198,196,197,200,192,180,172,171,175,182,186,181,183,184,184,199,197,198,201,202,197,194,195,196,192,186,180,176,178,183,187,189,191,193,194,197,199,201,203,203,200,197,195,189,190,188,183,180,180,184,189,189,191,194,194,195,198,201,202,203,203,200,197,189,190,189,185,181,181,184,188,190,193,195,196,193,194,193,195,200,203,199,192,187,188,188,186,184,183,184,185,192,195,199,200,190,188,184,184,192,198,192,182,171,174,178,183,187,187,184,181,190,194,198,201,188,184,178,176,184,192,185,172,152,157,166,178,187,189,185,179,184,188,195,199,191,186,176,171,180,191,183,165,141,149,165,183,189,185,184,188,190,187,189,197,194,191,182,177,184,192,185,170,148,155,169,184,189,187,187,191,189,187,190,197,199,198,193,187,189,195,191,181,165,169,178,188,192,191,192,195,187,187,191,197,200,202,200,195,195,199,198,193,185,187,191,195,196,195,195,195,186,189,194,198,198,201,202,200,199,202,204,203,199,200,200,199,197,196,192,189,187,193,199,202,199,201,202,201,201,202,205,207,203,205,204,201,198,195,188,181,187,196,204,205,202,201,200,201,201,200,201,203,204,208,208,205,203,200,191,180,187,198,207,206,205,201,199,200,200,198,197,198,204,210,211,209,208,206,195,182,188,200,209,208,207,203,201,200,199,199,197,195,207,207,207,209,211,207,201,196,207,207,207,207,205,202,200,199,198,196,193,190,199,202,205,208,210,207,204,201,207,207,207,207,203,200,200,199,197,193,188,184,188,196,203,207,209,206,207,208,207,207,207,207,202,201,201,200,197,192,184,179,181,192,203,207,207,204,207,211,207,207,207,207,0
174,180,171,166,179,190,193,199,187,204,164,167,152,142,185,158,153,186,162,145,162,167,172,182,191,185,175,174,167,184,156,169,160,146,186,164,146,181,158,140,171,176,191,207,206,185,167,163,136,144,121,140,131,116,153,139,144,182,161,142,162,168,183,185,167,146,135,127,110,104,79,93,81,63,97,95,137,181,166,143,149,159,175,165,130,110,103,89,90,79,59,69,56,38,64,66,119,170,160,137,161,167,189,185,143,113,98,76,71,64,55,66,55,41,58,59,101,160,157,137,166,152,179,200,160,112,86,62,63,58,56,61,50,45,58,58,89,156,160,144,173,138,165,206,172,111,77,58,70,62,56,53,41,41,57,58,80,150,161,148,167,129,138,182,152,95,82,68,61,48,36,44,58,53,47,56,84,130,156,152,169,129,124,159,136,90,78,58,53,48,42,50,66,65,61,69,89,131,154,147,174,141,135,169,157,115,87,48,50,54,53,58,73,78,76,82,102,141,159,149,171,146,135,163,163,130,94,47,38,48,46,46,59,67,68,72,113,147,162,152,180,157,134,150,156,137,116,84,50,55,47,42,54,65,69,75,113,145,157,146,168,157,142,159,166,148,136,119,75,68,50,42,53,64,72,85,119,148,154,140,131,137,137,162,167,142,135,135,107,85,52,41,51,58,69,89,134,156,155,136,131,142,141,161,165,144,152,170,160,127,85,70,76,79,91,115,145,162,154,132,132,172,158,151,153,145,163,167,163,135,121,107,116,95,111,137,169,156,143,129,141,175,162,154,158,159,183,192,179,148,131,117,128,109,125,150,160,144,135,129,140,170,166,163,168,178,204,213,189,156,135,119,134,118,133,155,152,132,127,134,131,156,168,170,177,191,211,216,195,159,134,116,134,123,137,156,152,128,127,144,1
129,107,97,100,100,100,99,89,101,109,120,114,103,115,139,146,130,143,115,120,127,111,114,120,103,86,88,96,105,100,96,86,76,87,110,123,119,138,118,120,133,123,124,123,107,94,96,97,101,79,56,44,38,44,64,86,113,137,132,131,139,123,111,106,108,116,108,81,89,59,28,18,19,18,34,60,107,131,142,142,136,107,97,110,115,107,87,64,76,53,23,17,26,20,28,58,106,120,139,139,132,103,113,142,122,71,49,56,58,49,25,22,35,28,32,63,125,117,134,136,124,119,140,151,105,44,29,44,46,48,29,21,35,30,35,68,152,122,135,137,112,134,152,128,71,34,25,22,44,55,35,23,36,33,40,77,169,124,133,137,115,147,159,105,52,26,14,32,38,26,23,34,22,26,26,104,138,129,124,126,128,159,159,90,39,25,15,27,40,23,21,24,23,26,46,123,128,124,124,129,147,169,154,77,28,26,16,21,37,19,25,20,28,29,70,142,118,119,126,134,144,151,133,71,37,37,27,33,32,19,31,20,33,36,96,156,118,123,136,144,128,121,108,75,60,53,38,49,29,24,29,21,39,58,128,168,120,129,144,156,143,123,108,87,81,66,38,42,34,31,24,24,50,96,158,163,114,123,141,157,170,148,127,102,99,86,48,39,38,42,23,42,77,143,171,131,113,121,139,156,178,161,138,110,112,112,74,55,41,50,27,64,103,175,171,93,123,131,145,162,185,161,136,116,117,123,105,89,71,46,73,110,136,152,128,99,149,147,158,168,174,155,131,109,111,128,136,141,121,94,120,143,139,132,120,119,141,140,154,165,154,145,126,109,109,130,164,185,148,115,135,152,134,119,119,139,135,136,152,166,135,138,125,118,114,128,168,190,147,107,117,131,124,122,124,138,136,138,156,171,1
123,106,103,110,102,126,106,125,123,129,136,135,127,122,127,136,129,140,138,122,117,121,136,146,131,141,116,129,120,125,131,134,134,131,127,124,109,123,132,129,122,132,145,142,126,137,129,143,135,139,138,134,136,138,131,118,108,119,132,139,126,130,129,120,115,128,134,143,158,163,156,140,132,135,132,124,122,121,128,141,118,121,123,127,138,140,142,130,159,170,168,150,132,127,126,125,132,119,117,128,121,118,118,132,156,148,156,140,144,154,164,158,139,123,117,117,140,125,115,119,122,116,115,131,157,140,166,165,144,141,148,157,151,130,115,111,137,131,125,123,112,112,120,142,164,136,169,176,159,142,137,152,158,141,120,112,120,127,130,128,108,129,114,151,205,148,155,167,150,151,142,138,147,147,140,139,124,116,125,112,116,130,118,154,216,165,149,160,176,164,138,121,133,151,163,176,129,114,108,98,123,126,121,159,227,188,140,148,163,155,130,115,130,151,166,180,157,131,104,104,123,116,119,164,235,207,137,140,138,140,126,116,131,150,162,172,179,147,95,100,119,109,119,179,236,217,146,137,141,146,132,119,130,153,173,188,199,172,96,100,116,106,122,197,230,211,159,136,134,151,147,134,140,157,173,187,195,185,105,111,113,107,123,212,214,190,165,129,110,142,155,148,147,152,158,165,157,173,99,112,112,107,123,217,200,170,164,119,102,138,154,143,138,141,148,157,145,176,108,122,103,106,144,192,188,178,127,109,130,160,143,131,141,141,139,130,156,166,137,116,95,100,140,189,185,174,122,104,132,155,141,134,141,134,132,125,173,183,153,131,104,105,140,186,181,176,131,118,145,159,150,152,152,134,132,130,168,179,154,139,120,114,140,177,173,176,143,140,157,165,160,170,162,136,134,135,150,163,143,136,0
138,128,132,155,114,104,99,109,100,99,98,96,88,86,98,114,109,104,97,92,131,130,134,157,126,110,93,100,109,104,100,98,95,93,97,105,99,94,88,84,120,130,133,151,140,121,95,98,106,99,95,98,102,103,102,103,104,98,92,91,123,135,131,135,142,128,105,109,99,97,99,106,115,119,120,118,116,110,105,105,146,150,135,119,132,126,114,117,107,112,117,121,127,132,135,136,119,116,113,116,170,164,146,114,122,122,125,119,117,125,129,126,124,126,131,133,122,123,125,129,169,158,151,118,122,129,145,128,117,122,123,117,113,118,122,125,126,130,134,137,153,143,149,123,128,140,165,140,112,116,115,110,111,120,126,126,131,135,140,139,133,143,141,111,125,132,155,163,144,121,118,113,119,129,130,145,149,140,134,137,138,133,131,113,123,109,129,151,146,124,127,134,141,140,135,157,148,143,141,146,131,127,125,109,119,106,123,139,135,119,119,124,144,151,134,141,121,118,118,120,128,136,132,102,117,118,125,116,136,148,152,136,144,153,136,142,143,148,158,170,151,147,136,113,130,122,116,101,125,155,174,160,148,130,118,155,161,168,181,195,173,143,135,142,163,129,118,123,112,117,130,147,160,129,107,158,177,177,181,187,170,137,137,157,178,135,127,144,124,119,113,123,157,147,125,166,165,158,154,157,156,140,144,151,167,131,124,134,126,155,145,103,112,124,125,167,180,165,149,143,144,148,154,159,157,147,135,128,129,139,124,123,111,123,130,159,173,177,155,126,143,144,147,151,152,148,142,138,140,142,128,140,139,150,135,139,155,164,151,130,138,136,134,137,142,147,147,146,148,150,141,157,154,162,141,134,140,154,148,134,130,127,122,124,133,144,147,144,129,137,136,143,121,131,127,130,137,154,150,136,0
150,141,126,105,86,73,66,63,63,80,88,116,127,111,119,134,151,164,183,196,163,162,158,150,134,117,109,107,74,71,57,83,106,99,101,104,119,147,178,192,178,181,186,189,178,161,152,154,130,111,75,79,90,75,72,69,79,110,141,151,178,178,186,196,194,180,171,171,166,155,117,102,89,62,62,67,80,94,112,123,158,164,176,192,200,191,175,165,158,161,136,124,107,78,79,85,67,61,71,92,144,163,186,202,211,208,187,166,175,183,166,163,153,122,108,100,93,81,83,102,158,189,213,217,220,223,209,185,198,216,211,216,205,171,148,134,131,124,113,104,184,218,236,224,218,228,224,206,184,217,232,244,234,201,187,180,181,182,159,123,216,223,225,218,213,214,213,209,169,174,198,233,232,218,223,225,212,204,161,124,211,227,229,214,207,219,222,213,172,162,182,222,222,201,206,217,194,179,144,116,190,225,243,227,215,227,236,230,202,165,165,192,189,164,165,182,163,137,116,106,155,197,233,235,227,230,238,240,229,166,139,139,136,130,128,143,127,100,98,107,144,162,190,216,229,229,233,239,223,149,104,83,92,115,114,121,109,93,104,122,186,168,168,193,216,221,224,230,198,124,84,58,73,108,100,100,101,102,116,129,225,205,186,175,169,169,181,196,163,97,82,73,85,106,81,82,95,113,122,122,226,226,207,159,113,98,120,146,130,71,83,94,106,109,73,79,92,121,125,116,217,214,190,140,91,67,71,82,75,87,99,100,118,119,99,112,127,133,124,104,211,173,128,95,76,66,61,55,85,92,98,93,106,106,86,100,121,122,113,95,199,162,128,103,73,56,62,70,93,96,98,87,99,99,81,96,125,121,117,113,197,176,168,146,90,55,70,91,94,98,99,89,102,104,88,104,143,136,136,143,0
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131,166,134,138,137,95,101,110,112,110,110,111,107,101,98,100,68,60,49,55,134,175,137,121,132,123,127,106,117,108,105,111,112,107,108,114,97,88,66,52,113,149,119,106,119,121,127,108,122,104,99,112,117,110,111,121,129,131,109,82,115,130,120,133,136,115,127,144,124,101,97,115,121,108,101,109,126,147,143,120,128,120,114,136,136,112,126,156,122,103,102,123,130,111,98,100,105,135,142,124,131,113,100,104,110,115,124,133,127,114,115,134,140,124,109,107,108,133,134,116,129,118,113,106,113,133,140,134,141,131,130,141,144,136,125,122,128,141,134,116,112,110,126,127,123,135,143,147,154,147,141,142,143,139,135,132,132,140,131,118,119,126,136,150,183,175,139,151,152,157,156,146,140,144,150,151,130,131,132,131,142,175,196,182,189,193,165,160,178,170,155,141,141,150,158,159,139,138,137,134,187,217,222,169,154,186,183,169,170,169,163,155,153,157,161,161,148,143,137,129,211,213,204,150,130,168,187,185,158,166,171,164,153,148,152,157,163,155,143,133,198,190,196,172,147,155,170,192,168,165,158,150,145,144,150,156,180,170,155,144,187,180,190,174,141,120,129,175,156,145,139,149,162,166,159,151,173,163,148,138,172,168,159,133,118,105,106,148,142,139,145,163,175,171,157,147,155,146,134,127,145,148,128,101,120,132,117,135,157,160,166,166,157,144,142,148,154,146,135,129,130,115,105,121,139,130,121,132,134,142,149,151,148,147,151,157,150,154,153,147,125,120,116,130,146,138,122,123,110,122,137,147,149,147,144,143,145,146,142,134,117,121,117,122,136,132,116,108,100,110,125,137,144,143,139,134,136,135,129,121,118,124,113,103,115,122,113,104,113,114,120,127,135,139,138,135,127,125,122,119,0
171,166,163,164,163,160,162,166,160,161,159,157,156,155,154,153,153,152,152,150,171,165,162,162,160,157,159,163,161,162,161,160,159,158,157,156,158,157,155,154,172,166,160,158,155,152,155,159,162,162,163,163,162,161,160,159,159,158,156,155,169,163,158,156,154,151,153,158,161,162,163,164,164,163,162,161,156,154,153,150,167,161,156,155,153,150,152,157,158,159,162,163,164,164,163,162,154,152,148,146,168,162,158,158,155,151,150,154,155,157,160,163,165,165,164,163,156,152,149,146,171,166,163,162,157,150,147,149,153,157,161,164,166,167,166,165,157,155,151,147,175,170,167,165,159,150,145,145,153,156,161,165,167,167,167,166,159,156,151,148,176,175,170,164,162,159,148,137,148,155,163,168,168,165,165,165,164,161,157,153,176,176,172,167,166,163,154,143,148,154,161,164,165,165,165,166,164,162,159,156,176,177,176,173,173,170,162,152,149,153,158,160,162,163,165,167,164,162,160,159,179,182,182,179,178,176,168,159,152,153,155,157,160,162,166,167,164,163,162,162,181,185,187,183,182,178,171,162,156,155,155,156,160,163,166,167,165,165,165,165,180,185,187,186,183,180,173,165,161,159,157,159,162,165,167,167,165,165,165,167,174,181,186,185,183,180,175,169,166,163,161,162,165,167,167,166,165,166,167,166,170,177,184,184,184,182,177,171,168,165,163,164,167,168,168,166,165,166,166,168,160,168,177,182,183,181,180,180,173,173,173,172,171,167,164,163,163,163,163,162,159,167,174,179,179,178,179,179,173,173,173,171,171,167,165,163,159,159,158,158,150,154,161,165,164,163,167,169,172,173,172,171,171,167,165,163,158,157,156,155,140,144,148,149,149,151,157,161,172,171,172,171,170,168,165,164,161,160,158,157,0
199,172,169,149,163,139,132,143,122,143,172,179,157,136,148,174,179,187,162,148,203,182,169,171,170,126,107,113,111,135,165,161,127,112,129,147,179,186,159,136,175,177,158,185,166,111,100,113,107,122,142,132,103,109,133,132,163,178,162,140,134,160,135,168,138,95,102,117,93,97,109,106,101,133,156,139,136,164,167,159,120,148,112,134,115,92,92,83,63,74,92,102,114,144,159,141,126,150,164,163,131,139,103,112,117,104,82,48,41,67,96,119,136,143,139,134,132,143,153,155,139,127,109,100,114,94,67,42,51,69,84,120,157,144,118,125,131,133,148,161,139,119,116,90,92,58,41,44,68,65,57,100,163,148,107,115,120,122,150,181,136,129,119,103,77,54,46,48,70,71,87,95,115,137,121,110,119,125,162,204,115,124,130,119,88,54,39,40,51,56,73,73,87,118,131,148,119,131,172,213,116,133,148,138,102,62,41,39,42,49,70,71,80,105,120,144,132,143,181,215,159,168,172,158,125,89,62,51,48,46,63,68,79,98,103,119,144,148,175,197,206,202,193,179,156,123,86,60,46,40,54,59,69,89,104,131,151,147,162,179,215,210,201,193,179,147,99,61,39,44,72,79,79,87,106,146,170,161,168,179,203,208,210,206,193,162,116,78,49,54,84,93,90,91,106,145,181,175,183,189,201,214,224,222,206,178,139,109,71,55,63,71,77,91,110,149,170,172,187,197,202,201,218,233,223,201,177,157,124,95,67,53,63,100,134,141,136,159,170,170,203,199,210,222,216,208,203,195,176,153,128,106,97,113,134,136,130,149,154,147,196,194,205,215,212,214,221,221,211,199,183,155,125,119,126,124,133,148,146,134,184,189,208,218,212,212,217,216,207,208,204,176,135,117,121,120,137,152,149,136,1
145,139,130,129,143,152,142,125,133,172,189,169,162,184,198,192,197,194,191,190,135,131,130,135,142,144,138,132,159,189,201,186,180,197,207,202,202,199,196,195,132,130,136,144,143,135,135,143,189,204,212,203,198,205,210,209,204,201,198,197,144,137,142,153,148,135,138,155,205,208,210,207,206,205,206,205,202,199,196,195,153,142,143,155,153,143,151,172,210,206,205,207,207,204,201,201,202,199,196,195,151,141,142,154,157,155,167,188,207,203,201,205,208,206,203,202,204,202,199,198,145,143,150,158,161,162,179,198,196,196,197,200,204,206,205,202,204,201,198,197,145,150,161,166,164,167,183,202,185,189,191,192,198,204,204,200,203,200,197,196,151,159,165,163,162,171,192,211,190,187,187,192,201,206,205,203,203,202,199,197,157,161,164,167,172,181,196,208,195,193,193,196,200,203,203,200,200,199,198,196,164,163,165,172,181,193,200,203,202,201,201,200,199,199,198,197,197,197,197,196,168,166,167,174,185,197,203,205,206,206,206,204,201,198,198,199,196,196,197,197,169,168,170,175,183,194,203,209,206,207,207,205,203,201,200,202,193,193,193,192,167,170,173,177,182,191,203,211,204,205,204,205,205,204,205,204,193,192,189,187,166,169,174,180,186,194,201,208,205,204,202,203,206,208,206,204,196,193,188,183,166,169,174,182,191,197,201,203,206,203,200,202,207,210,207,203,202,198,191,185,172,176,181,186,191,197,204,208,201,201,201,202,203,203,205,206,202,200,196,193,175,178,183,188,193,199,206,210,202,202,202,202,203,203,204,205,204,202,199,196,177,181,185,190,196,201,208,211,204,204,203,203,203,202,203,203,205,204,202,200,178,182,186,191,196,201,208,211,206,205,204,203,203,202,202,202,205,204,203,202,0
162,152,161,147,181,214,184,196,198,208,207,205,207,194,171,158,161,162,170,184,162,152,161,137,155,192,174,182,214,217,208,194,191,179,162,156,163,164,173,187,149,145,166,142,139,164,153,151,175,186,184,178,180,176,167,167,155,156,162,174,151,137,155,141,122,137,142,148,140,160,170,175,183,182,178,182,170,172,176,180,163,130,126,116,99,114,148,178,173,184,179,168,165,161,159,166,172,181,185,182,155,125,105,101,92,101,132,163,186,182,154,122,107,102,106,117,135,159,176,173,151,141,110,90,85,83,88,94,119,116,92,66,58,56,59,70,94,139,181,188,173,170,116,72,64,60,50,38,43,53,49,44,48,48,45,48,55,118,178,198,156,166,127,87,81,58,34,48,47,55,60,57,53,55,56,57,38,78,145,178,167,174,155,113,82,69,59,52,45,49,60,72,73,67,67,75,45,70,121,150,170,172,170,134,88,83,86,65,48,48,63,82,81,61,54,61,84,89,113,131,171,165,154,132,107,99,96,86,47,49,60,80,92,101,114,127,131,124,126,135,174,157,121,114,130,111,90,105,95,99,98,100,120,155,185,199,154,148,143,147,176,149,100,103,137,114,85,110,138,150,151,142,149,169,176,170,167,171,161,153,186,151,116,121,139,126,110,122,130,142,152,157,162,167,162,152,176,193,181,158,200,164,148,152,147,147,150,143,151,145,142,146,153,158,167,175,176,203,191,159,219,179,191,171,160,168,190,181,186,200,203,177,144,136,159,182,187,180,166,151,185,159,181,163,149,157,187,190,180,187,189,170,147,140,152,164,172,169,160,149,175,163,193,169,147,147,180,195,182,181,180,172,161,155,153,152,160,162,160,156,180,178,208,180,153,146,176,198,188,181,177,175,172,166,157,150,149,156,161,162,1
146,121,129,149,176,167,146,186,184,196,198,184,190,162,151,110,93,93,118,150,145,151,171,179,198,194,165,178,170,184,187,186,186,166,153,116,115,115,134,156,156,188,212,204,213,220,190,176,150,169,172,189,174,163,149,120,131,131,141,150,182,211,222,205,208,224,208,181,141,162,169,193,158,150,139,120,125,127,135,135,205,216,211,200,203,217,215,187,148,164,174,196,146,132,131,120,119,122,133,132,212,211,204,206,207,214,219,192,163,165,178,191,141,119,133,120,124,128,143,151,207,210,206,215,210,214,228,199,173,157,169,175,138,113,137,120,129,133,158,179,202,213,210,217,208,214,237,207,175,144,156,159,135,109,141,117,127,132,164,196,210,207,210,212,213,221,214,191,171,153,125,158,156,122,136,119,120,144,163,179,210,206,213,219,225,229,215,185,160,164,155,180,162,124,141,133,109,153,164,158,221,217,220,222,218,213,187,151,129,144,148,165,143,115,133,127,106,169,172,145,183,181,184,181,171,163,144,114,145,154,154,163,149,133,144,130,119,178,171,143,132,136,146,145,140,146,148,134,167,171,171,172,155,142,143,127,136,173,157,143,129,135,145,143,137,148,163,160,144,146,157,157,139,127,126,119,146,160,146,152,141,145,152,148,140,152,165,161,160,142,144,146,138,136,134,132,149,152,145,157,150,155,165,168,169,185,197,192,209,162,140,138,144,151,144,137,151,153,145,149,140,131,152,198,212,218,232,222,206,173,149,137,146,144,121,128,144,144,147,151,125,122,143,177,188,198,211,203,181,157,143,134,144,146,134,149,159,161,165,168,126,133,154,169,173,188,196,188,176,160,149,135,137,136,129,151,149,151,156,160,137,155,179,176,175,191,190,184,188,172,160,137,131,128,118,138,145,150,156,159,0
150,141,126,105,86,73,66,63,63,80,88,116,127,111,119,134,151,164,183,196,163,162,158,150,134,117,109,107,74,71,57,83,106,99,101,104,119,147,178,192,178,181,186,189,178,161,152,154,130,111,75,79,90,75,72,69,79,110,141,151,178,178,186,196,194,180,171,171,166,155,117,102,89,62,62,67,80,94,112,123,158,164,176,192,200,191,175,165,158,161,136,124,107,78,79,85,67,61,71,92,144,163,186,202,211,208,187,166,175,183,166,163,153,122,108,100,93,81,83,102,158,189,213,217,220,223,209,185,198,216,211,216,205,171,148,134,131,124,113,104,184,218,236,224,218,228,224,206,184,217,232,244,234,201,187,180,181,182,159,123,216,223,225,218,213,214,213,209,169,174,198,233,232,218,223,225,212,204,161,124,211,227,229,214,207,219,222,213,172,162,182,222,222,201,206,217,194,179,144,116,190,225,243,227,215,227,236,230,202,165,165,192,189,164,165,182,163,137,116,106,155,197,233,235,227,230,238,240,229,166,139,139,136,130,128,143,127,100,98,107,144,162,190,216,229,229,233,239,223,149,104,83,92,115,114,121,109,93,104,122,186,168,168,193,216,221,224,230,198,124,84,58,73,108,100,100,101,102,116,129,225,205,186,175,169,169,181,196,163,97,82,73,85,106,81,82,95,113,122,122,226,226,207,159,113,98,120,146,130,71,83,94,106,109,73,79,92,121,125,116,217,214,190,140,91,67,71,82,75,87,99,100,118,119,99,112,127,133,124,104,211,173,128,95,76,66,61,55,85,92,98,93,106,106,86,100,121,122,113,95,199,162,128,103,73,56,62,70,93,96,98,87,99,99,81,96,125,121,117,113,197,176,168,146,90,55,70,91,94,98,99,89,102,104,88,104,143,136,136,143,0
182,145,152,130,124,142,115,114,115,127,110,85,96,118,115,100,116,103,106,117,151,133,153,131,119,135,117,122,141,152,136,113,117,126,118,106,121,103,102,116,163,145,159,147,150,170,142,123,117,123,113,102,108,115,116,120,135,144,146,138,157,137,139,128,135,151,116,81,60,63,57,57,69,80,96,119,143,189,199,165,135,120,110,87,74,82,70,50,40,42,39,41,50,54,70,96,130,174,182,156,150,117,83,58,49,59,62,50,42,49,52,57,59,52,54,71,106,124,125,126,146,99,55,42,43,51,55,42,40,52,58,61,63,54,49,58,83,112,113,107,118,87,58,52,40,31,44,43,41,53,55,53,55,48,43,49,65,133,141,103,92,87,54,60,68,53,58,55,46,46,56,58,50,52,57,52,56,115,131,104,80,74,43,55,74,68,71,66,48,39,44,50,42,40,49,56,46,87,121,132,83,72,42,49,70,70,67,59,50,32,32,40,36,34,51,67,76,85,121,160,86,75,48,41,55,60,55,49,49,38,38,42,41,54,78,91,121,105,129,164,83,78,59,41,50,59,57,62,48,52,57,53,56,86,113,112,127,116,131,150,90,91,82,55,55,70,65,75,45,63,74,68,72,105,125,114,109,121,136,140,100,104,104,73,71,86,74,83,64,80,97,97,98,116,126,110,95,127,146,141,97,103,110,82,85,103,87,93,92,103,122,131,126,130,130,118,89,131,148,144,105,99,99,100,110,132,138,121,130,143,142,131,122,121,138,166,122,113,128,154,111,104,99,98,108,137,155,148,170,169,149,123,113,119,144,177,132,120,130,150,119,110,103,97,100,125,147,147,162,163,144,123,117,118,132,153,126,111,116,133,116,111,110,104,99,113,130,130,125,133,127,118,120,120,120,128,131,116,122,140,1
195,171,154,108,96,114,83,50,57,75,94,110,132,159,175,178,182,165,174,197,184,183,180,145,139,146,109,81,80,105,127,138,151,166,163,150,172,157,153,155,173,195,196,164,157,146,106,90,101,136,166,175,181,184,168,142,156,145,139,134,169,202,196,162,151,128,96,95,119,159,188,187,181,179,159,131,119,114,126,141,170,205,193,164,152,125,105,113,126,156,171,155,136,126,110,89,70,65,94,136,174,198,180,158,139,109,97,96,96,112,115,97,79,70,61,49,48,39,70,119,176,180,151,131,103,72,69,58,52,55,56,56,57,58,52,44,62,55,81,117,177,165,126,106,75,49,60,44,33,27,30,44,63,69,62,54,80,81,104,127,161,146,123,100,79,61,47,41,26,27,29,45,62,58,52,62,81,97,123,141,163,139,110,95,85,68,47,30,29,30,29,37,50,50,60,81,99,117,142,162,169,135,102,91,90,74,45,21,30,33,30,28,30,29,44,70,79,99,126,143,177,145,111,95,88,71,45,26,22,29,29,26,25,19,27,47,84,113,144,156,184,166,137,105,82,65,49,37,16,24,24,24,28,26,27,41,49,97,143,156,189,188,163,115,77,63,56,46,22,26,20,17,24,24,24,33,30,96,161,182,192,202,177,119,78,71,63,44,24,31,25,19,23,22,20,27,41,106,169,186,192,206,181,119,81,80,68,38,15,29,32,31,36,33,30,35,79,134,177,178,188,204,175,117,109,93,85,43,19,33,31,17,49,23,38,83,117,151,183,193,186,202,176,130,134,118,97,42,17,30,33,15,36,36,84,140,158,185,207,210,195,203,178,146,164,154,127,66,38,45,48,33,56,94,158,200,175,194,206,203,202,204,174,147,176,174,155,98,66,59,58,59,90,155,207,210,186,198,206,202,1
145,150,144,124,108,107,115,121,132,115,98,92,99,107,107,105,111,78,77,95,149,155,153,138,124,117,116,114,127,118,106,98,97,100,102,103,115,94,85,91,166,167,163,151,138,128,120,113,122,121,117,108,100,96,99,102,120,115,99,89,187,181,171,158,147,136,126,119,116,120,122,118,108,100,98,100,121,130,112,92,199,189,178,170,159,146,132,122,112,116,120,121,116,107,100,95,115,130,116,96,198,192,188,185,176,156,135,123,115,116,118,121,119,113,104,98,107,117,112,101,202,197,193,193,183,163,142,132,129,127,125,122,119,116,114,113,105,104,111,112,211,201,194,191,181,164,151,145,142,140,134,127,119,119,123,128,104,97,111,123,207,202,198,196,191,180,161,148,151,154,145,123,111,114,118,115,118,113,117,104,208,204,199,199,197,187,172,160,161,161,152,133,118,112,112,113,131,123,124,105,208,205,203,202,202,197,185,177,173,169,162,150,132,116,112,118,132,127,129,112,211,207,205,204,205,202,194,189,180,173,170,166,148,125,120,128,127,125,134,124,212,209,206,207,205,203,198,194,187,177,175,176,160,134,124,130,127,125,138,133,212,210,208,207,206,204,200,196,193,184,179,180,167,144,129,129,126,124,139,139,210,210,209,208,207,205,202,199,197,190,184,185,178,160,143,135,124,119,134,138,209,209,209,209,208,206,203,202,199,193,188,189,188,176,159,146,126,117,129,132,209,209,210,210,207,207,208,210,206,199,193,196,199,193,175,159,126,105,119,132,209,209,210,210,207,207,208,210,206,202,198,200,203,198,185,172,131,105,115,128,209,209,210,210,207,207,208,210,206,205,204,205,206,203,196,190,156,121,119,121,209,209,210,210,207,207,208,210,207,208,208,208,206,203,202,201,180,135,120,114,0
153,156,159,176,183,146,118,130,138,137,157,146,134,108,106,93,151,158,149,136,149,150,148,155,162,152,133,130,131,122,142,145,138,102,97,86,123,135,139,138,149,144,140,140,146,160,157,136,139,123,145,159,160,120,105,89,109,130,152,161,153,142,145,148,146,163,167,143,143,130,154,170,181,148,122,87,86,120,154,160,154,139,149,163,153,150,154,147,139,138,162,171,193,179,151,99,74,109,150,152,153,139,146,161,151,133,136,148,157,167,194,195,216,218,204,156,94,105,138,155,157,147,141,145,143,127,130,157,184,196,223,219,231,232,239,217,145,101,106,139,164,159,138,131,138,131,137,169,188,196,223,217,216,210,234,237,216,121,91,127,154,157,138,128,144,154,167,193,193,196,206,212,210,208,218,232,227,155,105,131,138,148,153,157,168,174,179,189,196,198,205,211,211,209,216,226,224,181,120,110,132,142,167,185,186,190,194,190,200,201,206,211,213,212,214,218,226,215,137,82,141,145,171,189,184,192,205,199,204,205,208,212,214,212,210,208,231,236,142,59,147,146,165,180,177,190,208,207,207,208,209,211,211,212,208,204,231,235,134,51,142,144,159,173,181,193,207,208,208,210,209,208,209,211,209,205,226,225,130,56,143,151,157,169,187,198,200,206,205,210,211,206,205,210,211,207,218,221,140,74,152,162,158,166,192,198,194,204,204,210,210,205,203,209,211,210,213,225,154,88,172,148,145,157,165,189,208,200,203,208,210,207,206,208,208,205,220,211,159,109,151,129,130,146,156,182,205,201,197,203,207,206,207,211,214,211,218,210,169,134,154,133,134,147,150,170,193,193,196,202,206,206,208,213,215,214,215,204,177,164,166,144,144,153,148,161,182,184,201,206,209,207,207,210,212,209,211,194,180,182,0
175,160,147,151,166,177,180,178,181,186,182,173,176,189,185,170,159,145,113,89,152,154,160,172,183,190,195,196,189,188,178,171,181,194,184,162,161,148,118,96,173,170,168,169,176,183,188,190,193,193,185,179,185,193,183,164,163,151,119,95,181,167,152,149,164,186,198,202,189,197,199,191,188,188,179,166,143,135,108,87,170,171,170,170,181,194,200,200,196,197,194,190,189,185,167,147,110,109,91,81,130,162,194,205,205,201,194,186,204,189,173,173,183,182,155,124,97,98,85,76,68,102,142,170,191,206,207,200,194,177,160,158,169,171,151,129,111,109,91,75,59,66,79,104,146,185,197,190,176,170,161,154,154,157,156,153,126,122,100,79,100,85,64,56,75,112,142,154,160,176,181,175,167,151,133,131,105,132,109,71,133,116,93,75,71,75,80,83,124,146,162,166,159,137,115,108,97,125,110,81,149,140,132,125,104,75,54,48,75,94,119,133,130,118,106,102,109,131,117,93,160,152,153,156,138,104,87,90,71,77,91,99,94,96,105,112,128,137,120,96,174,158,151,151,137,116,120,140,115,103,103,97,78,78,98,109,117,119,106,90,164,155,155,158,147,130,132,147,147,129,130,121,87,79,94,97,90,90,90,89,162,162,170,176,165,144,134,138,161,146,157,155,115,97,103,97,76,72,77,83,189,185,181,174,159,143,137,140,180,166,184,186,141,115,114,102,77,66,67,70,185,195,200,192,174,156,136,125,163,167,181,180,160,142,132,121,99,85,75,75,186,194,197,190,177,162,144,131,165,164,177,184,176,163,145,123,99,87,77,76,189,192,191,186,181,170,152,139,158,149,159,179,186,179,152,118,98,89,80,78,192,191,187,183,182,174,157,140,151,137,145,170,187,184,153,113,98,91,84,80,0
174,183,195,203,198,187,181,183,194,190,190,198,203,204,205,207,206,205,204,204,180,185,193,198,192,183,178,181,188,188,194,201,204,204,205,207,205,205,203,202,189,188,190,190,183,175,173,175,180,182,190,200,203,202,203,206,203,203,202,202,198,192,187,180,172,164,161,164,168,167,172,185,195,199,202,205,198,198,195,195,202,189,176,167,157,148,145,146,145,138,139,156,176,191,198,202,195,193,189,186,190,176,159,148,139,130,124,124,116,108,108,123,147,166,179,186,190,187,184,181,169,153,137,127,120,113,106,104,96,91,91,101,114,128,143,154,162,163,165,167,152,137,121,114,108,101,94,92,90,88,89,91,91,97,111,125,125,130,138,145,147,122,102,100,99,91,84,85,89,85,84,85,85,85,87,92,92,99,112,125,149,124,103,99,97,90,86,86,86,83,81,84,84,83,84,88,77,81,91,101,148,124,101,92,89,85,83,86,86,81,82,85,85,82,82,85,74,73,78,86,149,126,102,90,87,85,84,87,87,86,86,89,90,84,83,85,79,75,77,84,156,135,111,96,91,89,89,91,88,86,86,90,88,84,83,85,78,73,74,82,164,146,121,104,95,91,90,89,87,84,83,85,84,80,79,81,74,73,75,83,178,163,139,119,105,98,92,87,87,83,81,81,79,75,75,79,77,79,85,92,197,183,159,137,119,109,100,93,88,84,80,80,79,74,75,79,79,83,90,97,203,197,188,172,150,124,100,85,81,76,72,74,76,75,75,78,79,82,91,101,210,206,201,190,172,145,117,97,86,79,73,74,74,73,74,78,82,85,95,105,211,211,210,208,197,172,139,115,96,87,79,77,76,74,76,81,85,88,99,111,205,206,209,214,210,188,154,127,108,97,87,82,79,78,81,86,86,90,102,115,1
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179,176,158,154,169,164,160,176,183,183,178,174,179,188,188,181,198,194,186,176,184,179,166,164,174,175,166,163,157,160,166,167,159,154,164,180,186,185,180,171,193,181,172,166,168,180,177,157,155,156,166,175,165,152,166,194,174,176,173,168,197,185,176,164,157,182,191,168,155,151,157,165,165,160,170,188,177,177,172,164,192,187,185,172,164,190,207,189,166,170,171,165,162,167,176,181,186,185,175,161,180,187,192,185,185,205,216,206,192,201,199,181,164,166,177,184,181,183,180,170,169,180,180,178,193,209,213,213,205,199,187,172,158,153,159,168,169,177,185,185,164,172,162,161,187,203,205,214,221,191,167,165,166,156,154,158,165,178,192,196,166,172,163,166,185,186,184,201,201,191,181,173,165,159,163,172,175,199,190,191,200,202,180,160,160,161,167,187,190,174,171,181,180,165,161,171,187,203,196,201,201,211,197,168,155,154,159,172,173,154,155,177,181,164,158,169,193,198,191,201,188,200,191,163,147,149,156,160,163,153,156,169,171,163,163,170,195,191,187,197,197,195,178,148,129,138,149,148,157,168,174,172,169,169,170,168,196,191,197,203,196,190,184,167,148,149,154,143,145,169,182,174,166,168,165,155,181,186,206,207,187,183,196,198,180,171,168,153,143,158,168,165,160,160,157,150,155,172,206,202,194,185,197,201,179,171,175,167,153,152,154,157,158,156,157,161,139,164,205,196,192,203,190,191,190,170,166,162,146,167,178,176,171,161,161,176,152,163,179,191,169,184,177,183,185,168,165,160,156,165,162,157,158,154,152,161,152,156,161,164,157,172,163,168,172,162,165,164,167,166,157,156,167,166,156,154,163,159,152,146,163,175,157,153,157,154,168,173,165,166,163,172,190,187,166,154,172,166,155,144,0
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164,157,166,174,184,150,169,175,161,163,182,155,132,144,140,143,148,161,174,181,141,148,161,168,180,154,165,155,159,153,167,149,134,151,153,159,150,181,211,221,148,160,164,165,173,159,171,158,175,163,170,162,153,165,172,180,158,185,212,217,187,189,174,166,157,145,162,163,159,153,164,166,157,158,166,173,177,180,181,180,193,189,171,170,145,120,132,148,148,155,172,182,169,161,171,175,188,180,173,175,151,156,148,170,148,125,128,145,171,186,196,202,184,173,187,183,173,174,178,183,131,139,130,157,146,144,149,158,171,185,180,179,163,162,186,177,169,172,179,186,148,153,124,138,129,148,159,162,154,166,152,149,145,160,196,187,192,186,186,196,155,143,135,140,146,148,155,164,167,153,150,156,151,188,188,194,194,197,199,198,161,144,134,143,155,161,163,166,163,162,163,162,157,197,191,186,204,202,199,197,147,135,133,153,173,174,163,155,166,168,167,160,156,203,194,182,207,202,198,199,147,136,135,155,174,176,167,160,163,151,147,149,157,211,210,204,206,205,204,207,169,153,145,153,163,167,171,174,152,127,121,143,161,212,214,219,209,213,218,219,168,160,158,164,164,158,156,157,151,121,113,134,144,179,175,182,193,201,211,216,160,157,160,169,169,157,147,144,156,132,121,120,108,138,132,138,158,163,171,178,176,161,151,154,158,158,160,164,156,143,127,107,86,121,126,135,131,130,130,133,205,194,174,161,164,172,170,162,153,177,184,155,118,108,118,131,132,125,124,128,203,203,198,193,191,184,168,151,156,186,206,194,168,155,151,151,136,132,132,139,173,184,195,200,199,187,168,152,145,174,202,208,197,184,168,157,151,144,140,140,147,159,173,181,182,174,166,159,136,156,179,192,194,187,168,153,161,151,140,131,0
91,85,120,125,100,98,114,137,170,159,142,108,92,99,103,108,99,106,123,131,93,90,118,124,110,107,111,135,185,182,173,147,125,116,113,116,110,111,123,133,98,98,114,117,117,112,108,137,189,189,184,171,147,122,110,109,113,108,120,135,104,105,110,105,112,108,105,145,182,176,163,162,148,119,106,96,104,100,118,141,113,110,107,95,98,97,103,149,181,169,142,149,148,126,121,107,103,102,123,146,124,112,108,93,86,87,97,138,177,172,137,143,143,131,145,132,111,116,132,143,137,112,111,100,83,83,90,113,160,175,145,142,130,120,156,153,115,125,135,130,145,112,115,108,87,85,85,92,144,176,155,143,119,108,158,165,112,124,133,118,171,144,126,103,115,86,88,94,114,153,182,137,126,113,119,144,130,130,127,134,191,174,148,109,120,108,99,83,83,129,181,157,140,103,99,125,128,147,153,151,180,194,176,122,119,119,112,88,69,109,174,172,149,94,88,125,132,162,168,151,143,191,197,149,121,119,123,119,90,103,162,173,152,94,94,139,140,159,156,138,123,177,199,174,136,122,125,140,111,102,154,176,164,106,98,130,146,145,131,125,123,160,178,178,148,128,114,132,110,93,150,187,186,130,101,103,148,139,117,106,121,147,157,173,151,134,110,125,104,86,146,190,202,160,122,101,130,139,125,101,113,144,155,174,151,140,119,137,104,85,142,185,206,182,150,123,102,137,142,114,120,142,148,152,130,137,133,144,122,83,107,174,186,186,189,141,117,131,139,134,117,143,152,156,131,136,133,145,127,97,110,162,173,172,180,150,117,128,136,135,117,147,161,165,136,138,137,150,126,112,115,153,167,161,166,152,113,120,126,127,120,154,173,176,143,142,142,157,118,121,121,152,175,162,155,143,114,116,118,120,0
189,186,186,189,191,191,194,198,189,198,204,204,196,192,194,198,211,206,203,200,192,189,190,194,195,193,194,198,196,201,204,204,198,196,198,202,200,197,199,203,198,194,195,199,200,196,196,199,203,204,205,204,202,201,203,205,198,195,196,203,205,201,200,202,201,198,199,202,204,204,203,204,205,205,205,204,204,198,196,203,210,205,202,202,201,198,200,204,200,199,202,204,206,206,203,199,203,196,193,199,209,204,202,202,202,198,199,203,194,196,199,202,204,203,199,197,197,190,186,188,203,200,201,204,204,198,196,198,192,195,197,199,200,199,199,198,185,181,179,181,197,197,201,206,205,199,194,194,192,194,196,196,194,195,199,201,172,172,177,182,189,190,207,214,199,185,188,192,190,183,185,196,201,197,195,199,186,189,189,187,186,180,189,199,195,195,205,208,193,186,186,197,202,200,202,208,201,200,196,192,180,169,171,182,188,199,208,205,191,183,183,193,202,203,208,213,202,196,189,184,178,167,166,173,179,189,189,175,182,174,175,189,205,211,212,211,198,189,182,181,184,177,175,171,168,175,174,157,175,169,171,187,208,217,214,208,199,189,183,189,185,186,186,172,157,165,174,166,169,166,167,179,197,208,209,205,200,185,176,183,161,180,192,174,150,157,174,175,160,158,156,156,162,174,188,196,209,186,169,171,133,167,193,178,148,150,169,173,148,150,144,133,128,142,168,187,228,200,175,170,136,146,145,160,164,154,152,136,136,157,153,139,156,139,162,174,187,194,205,212,163,170,165,176,176,163,158,142,150,166,166,165,194,176,175,163,179,183,193,204,212,217,209,215,213,199,195,178,182,188,179,173,200,190,198,186,192,190,192,200,225,228,219,226,225,213,212,198,196,203,194,173,180,177,212,218,211,204,199,202,0
183,187,183,181,181,160,130,114,125,123,126,112,110,111,106,129,122,113,107,109,187,181,167,160,157,137,115,110,135,134,138,128,124,118,102,116,110,109,115,128,184,169,149,143,141,125,116,127,139,137,144,140,142,136,116,127,120,121,129,140,155,141,126,130,133,122,124,147,130,134,151,157,166,157,127,129,136,134,133,133,121,116,113,123,129,118,122,145,132,138,156,163,169,155,118,114,127,127,125,122,114,121,127,137,139,126,124,142,150,143,142,134,139,137,119,129,118,124,128,128,116,132,143,149,148,135,130,142,152,140,134,120,124,129,122,141,127,136,141,139,102,125,138,141,140,131,127,136,133,135,147,144,145,135,109,115,138,145,147,142,101,124,126,129,128,130,147,142,144,130,132,147,147,131,124,132,155,152,148,148,103,128,134,140,142,145,160,154,145,135,137,146,140,124,126,141,165,161,156,153,116,142,149,153,149,142,153,147,141,135,139,143,131,115,123,145,165,160,154,150,115,143,152,155,141,128,137,133,140,138,144,147,136,121,126,145,159,157,153,150,97,126,138,146,134,122,135,136,146,144,152,159,152,137,136,146,161,162,163,163,102,121,127,137,135,127,139,138,147,145,151,158,155,144,141,145,162,166,169,171,126,128,121,133,141,140,146,136,144,142,144,147,145,138,141,148,159,162,165,165,140,130,112,130,150,155,156,140,147,144,142,141,137,134,144,157,158,160,159,157,131,126,118,124,138,137,139,153,146,146,145,138,130,130,139,148,151,152,161,172,139,134,125,129,140,136,135,146,139,144,149,146,138,134,135,138,144,147,158,173,142,138,130,134,144,138,133,143,141,145,150,148,140,134,133,134,139,145,158,175,136,134,129,136,147,141,136,145,151,150,147,140,132,130,134,139,142,149,162,178,0
152,174,174,201,229,230,212,157,146,164,181,162,200,208,185,167,162,179,191,217,168,181,178,204,224,222,216,185,140,144,168,170,218,231,203,171,168,179,182,201,170,169,158,167,174,175,192,195,184,164,180,177,208,219,202,171,167,168,158,169,148,153,149,144,139,144,163,176,177,154,177,173,188,203,210,194,174,167,146,151,137,160,178,167,160,170,172,170,155,137,167,165,177,187,193,178,190,180,155,158,156,173,190,174,174,196,194,189,185,162,167,146,162,172,170,154,190,183,163,170,165,160,169,155,163,187,180,181,188,178,171,134,156,176,182,181,189,188,177,188,149,134,150,154,166,174,147,145,169,185,190,145,160,171,176,185,200,204,199,215,167,181,155,142,163,151,131,151,158,152,156,137,151,150,175,179,221,229,233,228,213,207,176,159,167,152,135,147,147,139,157,164,176,151,154,158,194,209,222,224,210,188,167,163,164,156,152,158,156,146,175,209,215,163,139,139,163,177,191,196,181,159,163,177,173,170,179,182,181,164,177,209,212,174,156,164,158,164,171,174,162,151,172,189,173,165,174,172,187,167,155,168,171,170,177,197,172,174,179,183,166,167,189,196,173,162,167,163,170,162,151,162,157,166,167,180,182,184,191,201,180,188,199,194,178,177,184,182,162,163,160,179,167,167,156,167,193,189,189,196,170,179,179,165,158,168,178,179,169,162,151,175,162,168,169,196,207,194,183,181,149,162,149,162,160,139,157,173,169,161,152,157,162,208,215,216,182,168,188,167,149,165,162,177,174,152,162,172,180,169,153,157,159,200,205,201,183,169,189,169,156,168,171,184,178,162,169,175,190,179,156,159,154,186,191,185,171,155,175,158,166,168,172,175,166,163,175,181,190,185,159,163,149,171,183,178,158,138,156,143,0
178,179,181,184,200,178,143,165,180,210,218,203,189,172,166,179,159,151,149,157,161,173,183,175,185,185,155,152,150,185,212,198,180,199,209,185,160,149,140,141,168,149,155,160,169,179,162,152,132,166,223,220,176,188,215,194,166,155,145,141,174,118,131,159,144,128,139,171,154,161,211,241,213,194,209,217,160,159,159,160,143,93,132,172,135,98,123,181,164,142,148,195,225,206,188,199,143,151,161,169,129,88,127,174,168,153,152,166,157,147,131,146,182,180,153,147,140,149,158,160,174,123,129,162,186,194,168,144,151,161,166,164,165,171,155,127,134,144,151,149,231,172,153,157,162,160,140,134,124,123,157,179,174,186,174,120,117,132,144,144,204,202,170,153,156,122,105,143,149,128,126,150,184,212,196,148,133,130,130,134,170,188,185,174,161,126,114,145,165,146,126,143,188,203,184,169,176,148,126,125,152,178,202,203,184,157,149,157,170,155,120,124,167,173,167,190,201,161,131,133,150,164,194,206,191,184,179,164,171,159,135,122,124,129,146,173,173,155,145,151,161,166,190,197,180,186,196,182,176,171,179,156,108,109,137,136,154,169,179,176,151,154,171,168,146,156,183,189,177,176,208,195,132,132,156,131,150,176,186,168,126,123,130,129,122,135,164,183,186,176,195,195,161,159,167,147,148,162,163,146,137,126,121,131,146,165,186,204,206,184,170,172,168,161,156,153,175,174,172,168,115,125,133,155,177,172,185,227,223,197,178,141,155,157,161,174,176,174,155,179,111,140,171,205,217,183,157,171,202,188,186,161,175,168,160,165,179,180,163,190,134,166,197,224,231,188,150,154,175,174,190,179,196,179,156,150,165,168,156,187,156,182,199,214,220,191,166,175,162,161,182,179,204,185,151,134,145,150,140,175,0
179,159,139,121,112,106,167,168,179,183,182,167,140,118,116,124,146,162,168,159,181,164,140,113,94,93,143,170,173,175,172,158,131,102,89,87,119,139,155,156,191,171,146,126,110,115,126,165,155,154,152,141,121,96,80,75,103,127,149,156,187,170,153,152,151,158,116,141,142,137,132,126,112,95,82,77,84,105,129,140,165,160,156,163,163,164,105,113,129,125,121,115,101,79,62,56,49,64,84,100,149,159,163,157,146,138,109,109,106,108,110,103,83,57,36,29,32,38,53,71,154,164,161,143,131,125,138,120,102,106,105,92,66,37,23,23,34,33,45,67,163,163,151,129,129,130,165,126,123,121,112,87,51,23,19,26,28,25,40,69,151,157,137,123,111,146,131,122,138,153,137,69,32,32,24,28,19,28,29,99,141,139,125,125,119,143,128,117,131,139,124,66,32,30,21,28,22,28,43,123,141,131,122,137,129,136,129,122,120,109,92,50,24,24,22,32,33,37,65,151,146,133,130,143,123,112,128,132,114,80,59,34,21,28,31,42,32,40,80,159,136,129,128,130,97,81,129,144,108,61,45,37,31,38,38,43,41,66,115,180,124,120,120,111,77,72,148,160,93,46,41,42,34,41,39,38,60,103,147,190,114,113,107,94,75,87,174,165,85,42,44,41,25,36,50,57,95,141,154,162,109,106,96,81,76,100,187,158,88,49,51,40,17,38,72,91,155,194,175,152,105,112,94,80,119,126,164,179,147,80,40,34,26,44,93,130,192,208,191,163,128,125,100,89,130,143,178,187,195,125,72,56,55,81,129,158,182,203,200,186,144,135,109,107,149,165,189,187,211,160,118,106,114,138,160,164,166,188,194,191,142,136,117,129,162,178,190,176,194,170,145,140,155,174,173,158,164,176,180,178,1
169,180,172,145,137,146,133,106,95,103,95,71,60,69,75,71,83,80,76,74,173,172,154,131,127,133,120,94,96,93,81,63,59,69,78,77,85,81,77,73,168,157,141,131,134,134,117,94,93,82,71,65,67,73,77,76,86,83,78,74,145,137,134,142,147,139,119,101,83,74,72,78,81,77,74,76,86,82,78,76,132,128,129,138,138,123,107,100,75,70,71,80,83,76,78,86,88,84,79,75,148,139,131,123,112,97,91,94,77,71,68,74,76,80,89,101,90,85,77,72,164,149,129,109,91,82,81,86,91,82,75,74,80,89,97,102,90,84,76,69,160,146,122,98,81,74,75,78,102,95,85,83,91,99,99,93,89,83,75,69,129,127,100,82,87,80,65,70,83,103,96,87,96,98,90,94,90,85,78,72,118,107,83,65,65,62,58,59,79,90,93,93,101,104,101,102,97,90,80,72,116,94,75,62,53,58,64,63,77,76,88,100,102,103,107,106,95,87,74,65,115,88,76,69,56,63,77,73,82,76,96,118,110,105,109,102,89,82,72,64,99,75,70,69,57,63,77,73,78,81,116,143,130,114,108,95,89,85,80,76,81,65,61,64,60,61,68,72,63,87,126,148,136,114,98,87,92,89,86,84,71,65,57,61,68,63,65,79,69,103,127,129,119,104,94,97,96,92,86,83,67,67,56,59,72,66,64,85,94,127,130,110,102,96,99,117,102,96,88,81,82,69,60,60,63,64,62,62,99,119,129,126,117,104,104,120,117,100,79,69,91,77,66,66,65,64,63,61,104,124,138,139,128,114,113,127,121,103,82,73,91,75,67,68,64,65,67,64,96,115,135,142,129,113,112,122,118,98,79,73,82,63,62,66,60,66,74,68,83,98,127,139,123,104,104,109,107,87,69,69,0
173,178,169,170,175,139,86,65,73,94,148,148,161,178,142,152,172,145,146,163,196,186,166,153,147,122,83,60,47,69,113,129,159,182,162,169,178,161,154,157,205,189,169,149,129,115,92,63,50,64,79,102,138,157,154,154,167,166,150,136,188,181,181,164,135,122,107,76,73,73,57,72,103,117,128,131,145,156,138,115,169,174,189,177,140,121,109,86,79,70,44,51,76,94,121,139,133,148,134,114,168,177,186,172,134,106,95,89,76,64,50,48,63,83,115,156,137,141,134,124,176,180,177,162,135,99,84,95,77,67,76,60,56,70,90,151,147,134,130,132,179,180,169,159,144,105,86,104,75,69,95,70,54,59,68,138,160,133,132,140,165,152,166,153,125,80,88,100,79,82,99,90,73,65,62,83,112,130,151,160,152,145,161,144,116,72,76,80,87,92,110,98,81,74,65,78,90,112,140,158,142,142,161,142,116,78,80,75,84,96,120,114,101,93,74,73,85,105,133,152,152,155,169,142,116,85,87,76,60,77,110,114,112,107,78,66,97,110,129,144,172,170,176,139,112,84,90,79,47,56,85,95,101,103,76,66,97,107,125,142,178,169,170,136,114,94,109,106,72,61,73,80,91,97,78,78,94,106,130,155,178,164,163,135,119,104,127,133,104,77,76,82,94,96,80,87,96,107,133,161,185,166,162,134,117,99,123,132,115,81,77,88,100,95,76,83,104,109,128,152,189,164,153,147,105,97,120,115,107,85,76,89,98,91,82,82,93,113,138,153,195,166,155,145,106,96,113,105,105,92,91,103,107,97,91,94,109,128,150,162,197,160,155,141,109,98,110,98,103,96,97,106,107,102,108,121,133,149,165,171,193,149,152,135,114,104,113,99,102,92,89,94,100,107,126,147,152,166,176,172,1
137,133,125,118,112,107,106,105,102,103,103,100,95,93,91,91,87,87,86,86,137,133,125,118,112,108,107,107,104,103,102,100,98,95,91,88,89,89,89,89,139,134,126,118,112,108,107,108,104,102,101,102,102,99,92,86,90,91,91,91,141,136,127,119,112,107,106,105,102,99,98,101,105,103,96,88,92,92,93,93,140,136,128,120,113,107,103,102,98,96,98,102,107,107,100,93,97,97,98,98,137,134,127,121,114,108,104,100,97,97,98,101,106,106,102,98,103,104,104,104,127,126,124,121,116,110,105,102,100,101,101,103,104,103,101,100,105,105,105,105,121,121,122,121,117,113,108,104,102,104,105,104,102,100,100,100,104,103,103,102,114,116,119,123,125,122,117,112,107,109,111,109,105,102,101,103,104,101,99,98,112,113,117,121,124,123,119,116,110,110,110,107,105,102,102,103,103,101,98,98,114,115,117,121,124,124,122,120,114,111,107,104,103,103,103,103,103,100,98,98,123,123,123,124,126,126,123,121,117,112,106,103,103,104,104,102,101,99,97,96,135,133,131,130,128,126,123,120,118,113,108,106,106,106,104,101,98,96,94,94,139,137,134,132,130,127,122,119,118,117,115,114,112,110,105,102,98,96,94,94,132,131,130,130,129,127,122,119,119,122,125,124,121,115,109,106,99,97,95,96,124,123,124,126,128,127,123,121,120,126,132,133,127,118,113,109,101,99,97,98,130,129,130,129,129,128,127,128,129,132,135,136,134,128,121,118,112,107,102,101,135,134,134,133,132,131,131,130,131,134,135,136,133,128,123,120,117,113,109,107,146,146,144,143,140,138,137,136,135,136,136,136,133,130,126,124,126,124,120,120,158,156,154,152,148,145,143,142,138,139,138,136,133,130,128,126,134,132,131,130,0
209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,214,205,195,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,213,216,204,192,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,215,218,204,189,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,213,216,204,191,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,210,215,205,194,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,215,207,199,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,206,214,211,205,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,209,205,215,213,210,210,210,209,208,208,208,209,209,210,210,210,209,209,208,208,208,208,207,206,206,208,208,207,207,208,208,209,210,210,210,210,209,209,208,208,208,212,210,210,208,206,206,207,207,208,209,209,210,210,210,210,209,209,208,208,208,213,214,214,213,208,208,209,209,209,209,209,209,210,210,210,209,209,208,208,208,214,215,216,217,210,210,211,211,210,209,208,207,210,210,210,209,209,208,208,208,214,214,215,217,208,209,210,211,211,209,208,206,210,210,210,209,209,208,208,208,210,210,209,209,202,204,206,209,210,209,208,207,210,210,210,209,209,208,208,208,202,199,195,191,196,199,202,206,208,209,209,208,210,210,210,209,209,208,208,208,191,187,182,176,195,195,199,204,208,211,211,209,207,204,200,202,205,208,207,205,192,188,193,160,193,193,196,201,205,207,207,205,209,206,204,206,210,212,210,207,198,193,194,159,191,191,194,198,201,203,202,200,208,206,206,209,213,213,210,206,195,189,186,146,191,191,193,197,199,200,199,196,203,203,203,207,211,211,206,202,191,184,178,131,0
150,127,117,120,115,116,124,127,100,108,117,159,166,139,152,159,129,120,121,131,133,136,136,122,111,126,140,134,114,111,106,135,142,128,142,144,144,129,121,127,119,126,134,126,114,124,136,131,142,129,110,120,130,129,141,143,149,131,118,122,136,113,112,127,126,120,122,122,147,137,121,120,127,134,143,143,154,143,137,143,177,128,102,112,126,129,126,118,126,123,125,122,123,130,133,136,157,157,161,168,203,155,110,94,109,135,139,119,120,120,135,132,130,133,127,137,141,144,148,150,203,164,127,107,106,125,138,130,136,128,144,140,136,137,126,141,137,134,128,122,196,161,142,139,125,114,127,146,148,130,141,135,130,129,117,136,160,149,134,122,182,154,149,167,161,130,120,136,141,124,128,147,145,124,124,142,169,180,169,149,175,137,133,151,140,118,119,131,140,121,119,133,137,123,116,123,160,175,175,166,164,121,124,144,128,115,126,130,142,128,120,128,136,131,122,116,139,156,174,183,152,116,133,160,141,135,146,135,142,140,137,135,135,135,129,122,119,135,168,196,140,123,152,179,163,164,167,140,139,152,157,145,130,125,127,126,111,118,160,201,133,136,162,173,166,178,177,142,144,164,173,157,133,122,123,127,108,102,140,188,135,151,159,145,145,173,177,145,151,165,174,164,144,130,127,128,112,90,120,166,140,161,152,118,124,164,173,147,149,156,163,162,151,139,130,127,122,90,111,156,145,152,147,133,130,143,150,147,144,148,161,161,147,142,141,135,120,101,110,140,149,147,148,147,143,142,140,136,153,158,162,152,140,143,148,143,124,101,104,128,143,131,136,149,151,152,152,149,148,162,163,147,141,152,156,149,133,105,100,116,139,123,125,136,144,163,175,166,129,158,164,149,152,165,161,147,141,110,101,114,0
192,182,182,200,203,179,179,208,169,155,158,136,168,160,149,186,183,161,160,153,163,174,181,190,195,188,190,208,172,165,161,148,179,161,151,176,159,154,173,167,165,191,196,185,182,183,179,177,164,169,155,152,184,157,159,175,138,137,160,157,186,206,200,174,164,159,146,136,129,143,122,123,155,131,159,184,151,130,138,137,183,187,170,145,137,128,114,108,82,99,77,72,100,88,139,184,168,138,136,136,170,165,141,116,104,92,83,83,57,70,56,40,63,60,117,180,156,135,142,142,175,176,149,109,85,71,63,65,55,60,59,34,56,60,102,173,148,129,140,144,185,195,169,117,83,70,63,63,54,54,65,36,59,67,95,167,165,137,143,149,174,200,175,113,77,61,57,66,46,46,49,51,46,57,99,144,166,148,151,167,141,167,145,95,78,73,58,48,42,45,52,55,48,53,90,131,162,150,153,164,131,160,142,93,76,70,51,40,44,51,65,70,61,63,95,134,157,151,156,160,137,169,157,109,76,52,41,52,46,55,72,80,74,76,107,145,154,153,158,156,132,159,156,124,90,52,40,62,44,50,63,72,69,74,109,147,153,152,156,153,137,155,152,138,120,81,52,56,47,46,55,62,65,74,109,147,153,146,148,151,142,167,162,145,140,117,80,62,52,48,51,62,70,85,120,156,151,138,139,149,133,172,170,142,141,137,109,85,51,46,48,63,76,94,130,164,151,132,133,146,134,166,170,145,159,165,134,134,95,71,76,76,81,109,146,185,150,124,136,165,143,154,156,139,155,171,148,143,124,106,111,107,108,133,156,181,138,121,144,179,163,150,159,160,172,189,170,154,139,128,136,127,126,150,158,162,130,126,161,204,178,154,176,194,196,205,183,155,130,127,137,125,127,154,152,141,126,130,176,219,1
121,133,151,165,174,182,190,198,204,202,197,194,194,195,199,202,204,203,202,201,126,140,160,177,186,191,197,202,206,204,200,197,196,196,200,202,203,202,201,200,138,155,177,193,201,203,204,204,206,205,202,200,199,200,200,201,202,201,200,200,154,173,193,204,207,208,205,202,202,203,203,202,202,203,202,202,203,202,201,200,170,186,201,205,205,205,201,196,195,197,199,201,202,204,205,205,205,204,203,202,174,189,202,202,200,201,197,190,189,191,192,195,199,202,204,206,206,205,204,203,164,182,198,198,198,199,197,189,186,187,188,190,194,197,201,202,205,204,203,203,155,175,193,196,198,201,197,189,185,186,186,188,190,195,197,199,204,203,202,201,156,175,194,203,203,201,198,195,193,191,188,187,187,191,194,197,200,200,201,202,157,176,195,203,204,203,201,199,193,192,190,188,189,192,193,196,200,201,202,203,156,176,195,202,204,205,204,203,197,196,195,194,194,194,195,195,201,202,203,205,155,172,190,198,200,201,203,204,201,201,202,202,201,199,197,198,200,201,202,204,151,168,185,191,193,196,200,202,202,203,203,203,201,200,199,198,198,199,201,202,151,166,181,187,188,193,198,200,201,201,201,201,200,199,198,196,197,198,199,201,154,168,183,187,187,193,199,201,203,203,202,202,201,200,200,200,198,199,200,201,157,171,185,188,189,194,199,203,207,206,205,204,204,204,205,205,200,200,201,202,155,177,198,205,202,200,200,202,208,208,207,205,205,205,203,202,208,205,202,200,155,177,200,209,206,204,203,204,205,206,206,205,205,205,203,202,206,203,197,195,144,168,193,203,201,199,196,196,201,203,204,204,204,204,203,203,205,199,192,187,132,157,185,197,195,192,188,187,198,201,203,204,203,203,203,204,205,198,189,182,0
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154,164,181,187,185,191,187,169,192,203,189,151,129,139,155,157,141,133,121,125,153,141,155,186,195,186,176,169,152,165,167,151,142,151,162,164,165,150,125,115,170,147,151,179,187,179,167,157,148,168,184,181,175,179,195,208,191,172,133,103,167,151,140,134,133,146,154,144,162,178,192,190,176,174,196,222,204,192,152,110,164,145,125,106,96,119,153,171,173,171,173,173,168,167,177,192,194,196,170,134,173,137,116,109,94,100,144,187,178,162,152,158,174,178,170,162,170,182,171,147,168,133,118,120,107,102,129,159,176,165,155,159,172,182,175,162,162,172,166,154,169,153,147,146,141,145,151,150,194,197,194,184,181,189,197,199,173,177,168,160,186,189,177,170,184,186,166,146,181,215,233,219,208,216,224,219,197,202,185,164,195,202,203,205,204,181,154,144,183,211,227,219,210,215,220,218,219,220,197,168,206,214,218,219,206,176,159,170,199,209,215,210,202,201,207,212,206,206,182,153,188,205,216,221,215,198,195,211,216,208,200,193,184,177,185,196,192,190,169,147,145,177,202,215,228,231,228,230,220,206,197,192,182,168,169,179,194,188,166,151,130,155,169,178,201,220,220,218,205,198,196,197,187,169,162,166,167,160,141,130,150,152,144,145,161,172,173,179,171,169,170,169,160,144,137,139,132,138,136,137,169,159,147,148,154,141,128,133,136,134,131,124,113,103,101,104,131,153,173,188,147,154,157,148,136,129,129,132,125,122,128,121,124,129,131,161,168,176,183,184,136,140,144,141,138,139,145,150,158,158,163,150,150,152,144,162,178,183,183,179,130,128,129,132,139,148,159,167,180,185,189,171,171,174,155,157,175,177,173,164,136,127,122,126,138,150,162,171,179,188,192,173,177,186,163,155,184,185,182,175,0
167,156,151,149,149,162,174,167,171,178,180,165,141,125,122,127,146,136,161,175,173,167,163,154,142,149,161,159,150,156,158,146,128,118,119,125,148,138,162,176,170,168,169,159,142,145,157,157,140,142,140,131,119,114,119,124,146,139,164,175,157,156,160,160,152,159,165,158,142,139,133,123,116,116,122,128,139,136,165,176,153,147,150,156,158,166,161,143,125,122,115,108,106,112,123,132,128,132,166,180,160,150,147,148,145,145,132,110,89,87,83,81,84,96,114,127,119,126,165,180,162,156,150,137,116,105,96,79,66,67,64,61,63,76,96,111,112,119,155,165,157,155,152,128,92,74,72,66,67,67,63,56,53,62,81,97,109,114,145,148,162,151,136,104,63,47,58,65,60,66,68,60,50,54,71,88,103,121,125,120,170,160,135,83,41,40,53,52,55,59,62,60,59,62,71,78,91,114,120,112,169,163,132,73,37,52,69,58,60,58,57,58,61,68,72,75,92,122,129,118,170,158,127,79,50,62,75,66,69,64,56,52,54,64,75,81,94,127,138,126,180,150,119,86,56,48,54,55,68,65,58,49,48,56,71,84,92,122,135,126,178,141,114,98,68,43,44,53,55,58,56,51,47,54,72,86,112,131,136,128,160,133,124,124,96,62,51,56,49,50,49,46,48,62,84,102,130,137,134,130,144,133,141,149,120,77,52,42,53,49,42,39,47,70,100,122,122,124,121,125,152,139,117,125,128,110,92,66,44,48,60,77,90,100,115,129,119,125,130,127,137,132,116,122,120,113,124,125,75,91,112,126,132,130,126,120,116,123,125,121,142,135,117,121,121,116,137,148,116,132,143,137,134,139,135,124,114,121,123,119,155,134,110,126,134,126,130,126,129,144,140,117,113,130,136,126,111,120,125,124,1
123,106,103,110,102,126,106,125,123,129,136,135,127,122,127,136,129,140,138,122,117,121,136,146,131,141,116,129,120,125,131,134,134,131,127,124,109,123,132,129,122,132,145,142,126,137,129,143,135,139,138,134,136,138,131,118,108,119,132,139,126,130,129,120,115,128,134,143,158,163,156,140,132,135,132,124,122,121,128,141,118,121,123,127,138,140,142,130,159,170,168,150,132,127,126,125,132,119,117,128,121,118,118,132,156,148,156,140,144,154,164,158,139,123,117,117,140,125,115,119,122,116,115,131,157,140,166,165,144,141,148,157,151,130,115,111,137,131,125,123,112,112,120,142,164,136,169,176,159,142,137,152,158,141,120,112,120,127,130,128,108,129,114,151,205,148,155,167,150,151,142,138,147,147,140,139,124,116,125,112,116,130,118,154,216,165,149,160,176,164,138,121,133,151,163,176,129,114,108,98,123,126,121,159,227,188,140,148,163,155,130,115,130,151,166,180,157,131,104,104,123,116,119,164,235,207,137,140,138,140,126,116,131,150,162,172,179,147,95,100,119,109,119,179,236,217,146,137,141,146,132,119,130,153,173,188,199,172,96,100,116,106,122,197,230,211,159,136,134,151,147,134,140,157,173,187,195,185,105,111,113,107,123,212,214,190,165,129,110,142,155,148,147,152,158,165,157,173,99,112,112,107,123,217,200,170,164,119,102,138,154,143,138,141,148,157,145,176,108,122,103,106,144,192,188,178,127,109,130,160,143,131,141,141,139,130,156,166,137,116,95,100,140,189,185,174,122,104,132,155,141,134,141,134,132,125,173,183,153,131,104,105,140,186,181,176,131,118,145,159,150,152,152,134,132,130,168,179,154,139,120,114,140,177,173,176,143,140,157,165,160,170,162,136,134,135,150,163,143,136,0
158,140,122,121,134,142,138,129,133,141,161,177,167,151,160,183,172,184,189,183,155,142,127,123,129,135,136,134,114,129,155,173,165,143,132,134,159,171,182,184,154,147,137,131,130,136,142,146,137,139,143,146,147,144,139,135,135,142,155,166,168,162,154,146,145,150,157,163,169,156,136,128,142,165,174,170,122,118,126,142,182,174,164,158,158,160,161,161,156,145,130,131,154,180,179,163,125,112,113,131,180,171,161,156,157,156,149,143,136,125,114,122,145,163,152,131,130,117,116,132,172,168,164,163,164,160,153,147,149,126,106,107,127,141,134,121,128,125,129,139,173,174,177,181,183,180,175,170,167,140,114,113,128,136,131,123,130,136,145,150,186,199,200,190,190,199,196,180,178,162,136,118,121,138,152,156,149,146,150,161,189,205,207,192,183,189,190,184,183,161,142,137,131,123,124,135,154,147,145,151,188,201,202,184,171,174,182,183,177,153,144,152,141,111,104,121,158,145,131,126,183,183,176,163,159,165,171,173,166,146,143,153,145,119,116,135,157,141,121,108,182,166,146,142,152,163,162,157,154,143,137,138,139,136,143,153,154,143,128,117,181,154,130,132,151,161,156,147,145,137,123,117,125,139,148,149,158,156,150,144,170,145,126,132,149,157,156,152,145,131,115,111,125,138,138,130,152,160,165,163,155,137,126,133,146,153,157,163,156,135,119,123,139,144,135,124,133,150,165,170,134,127,134,133,122,141,162,156,133,126,118,123,145,160,147,123,99,118,153,172,135,130,135,132,121,134,150,143,120,124,127,135,148,156,140,116,111,119,137,146,136,133,139,134,122,125,131,126,114,124,134,139,144,145,133,117,122,124,137,147,134,136,139,135,125,120,118,115,123,128,132,132,134,136,130,122,106,109,129,150,0
161,141,149,144,127,126,127,142,173,142,118,102,109,111,99,113,118,130,136,134,167,142,138,124,109,113,113,118,144,143,145,127,119,112,103,124,109,114,116,115,143,138,148,128,104,106,105,108,108,124,139,126,119,117,109,128,120,111,104,101,129,156,191,165,120,110,110,119,116,119,124,114,129,148,140,145,147,122,101,95,157,182,212,177,127,119,123,133,137,128,120,110,133,159,150,153,172,136,100,87,185,175,172,139,115,131,139,144,154,149,142,123,127,137,129,141,182,145,102,80,188,153,133,113,117,147,153,151,174,166,157,128,110,100,92,116,150,132,104,80,188,151,134,124,135,160,158,150,164,147,129,95,70,52,43,69,99,104,99,86,199,145,140,156,143,140,135,101,97,92,76,55,42,39,39,38,51,59,96,93,159,122,133,151,117,87,70,39,37,42,43,36,35,40,45,47,53,65,105,99,143,130,148,142,82,40,39,34,32,41,44,41,40,45,52,55,61,77,118,107,148,162,179,143,64,28,42,49,36,44,46,40,36,40,48,54,76,92,128,112,151,179,192,145,76,50,43,23,20,31,38,40,42,51,58,62,81,98,131,112,167,187,184,142,105,94,74,35,36,45,53,57,58,58,55,51,75,97,133,109,194,204,196,162,134,127,118,101,93,92,86,78,71,65,56,46,85,116,155,123,205,221,224,196,154,129,130,139,155,144,127,110,103,102,98,92,110,147,188,150,197,210,214,200,176,153,130,114,133,139,163,143,159,170,167,153,144,177,178,153,202,210,213,209,199,185,164,146,129,133,173,179,195,188,181,177,159,180,169,136,202,205,208,214,218,216,199,182,144,134,180,198,205,177,167,171,146,163,152,124,194,195,200,210,221,224,212,199,166,138,174,186,185,156,146,147,118,144,146,131,1
132,123,112,109,106,98,117,157,192,146,124,134,137,130,128,126,97,113,128,128,142,141,127,116,123,127,125,129,143,127,129,141,141,136,129,116,105,117,131,139,160,169,151,131,151,172,155,125,116,112,115,112,105,108,110,100,106,107,113,120,177,187,168,148,170,195,178,146,127,115,110,107,101,110,118,114,129,124,122,127,176,183,170,157,164,169,155,142,122,105,112,132,138,141,144,140,152,152,158,169,163,167,161,155,147,128,115,119,139,124,131,153,158,160,165,167,164,170,187,205,158,157,152,150,145,126,120,135,185,179,181,174,161,164,180,188,180,182,195,213,163,158,149,149,154,151,157,177,187,202,208,182,149,150,170,176,172,166,171,187,162,167,165,158,160,171,171,162,186,180,174,166,156,149,149,155,146,148,158,169,164,169,173,173,177,181,181,177,143,145,151,159,158,150,143,142,138,138,142,150,187,185,184,181,169,155,147,148,140,137,137,142,145,143,142,145,142,146,152,159,166,161,162,164,155,141,143,154,167,160,151,146,141,139,145,151,136,143,153,164,150,143,144,151,148,143,155,178,171,168,167,162,153,145,147,154,160,167,173,177,165,157,153,153,147,142,154,174,162,158,156,155,150,148,155,164,157,158,155,148,169,165,163,163,159,157,164,175,157,149,145,148,152,153,155,159,155,159,157,151,187,187,184,179,171,163,160,161,151,146,151,165,173,163,144,129,132,143,152,155,186,182,177,185,189,171,156,163,160,150,149,150,146,151,156,149,142,142,146,142,171,169,163,165,173,165,157,163,176,162,151,146,146,162,183,191,170,164,163,158,174,175,161,148,151,150,144,143,181,178,175,170,167,172,182,190,178,166,165,165,150,160,151,136,147,162,163,160,176,187,193,191,186,174,167,169,170,153,152,161,0
120,113,106,114,139,151,133,105,94,108,113,97,74,67,78,93,125,118,98,74,108,105,103,111,128,135,124,109,93,94,97,99,93,93,108,129,122,110,89,69,120,110,104,110,118,117,108,100,95,87,93,112,122,121,128,144,122,108,85,70,143,124,113,114,115,106,99,98,108,110,121,139,146,140,131,127,109,99,85,77,144,137,130,121,104,93,102,120,129,147,157,153,149,145,130,110,88,85,84,84,139,147,145,122,88,78,105,138,142,164,167,143,130,132,123,103,94,92,93,94,131,137,129,105,85,93,124,152,157,168,163,134,115,115,111,101,116,108,102,104,119,111,96,84,97,129,157,167,173,174,164,141,120,109,103,99,126,113,105,109,106,88,84,106,133,147,160,173,174,155,135,123,111,98,95,100,109,124,142,151,95,98,112,134,151,158,164,170,166,149,131,119,107,96,95,102,128,136,147,151,90,114,142,159,165,170,172,169,157,140,124,117,109,102,105,113,124,127,129,130,97,130,157,164,167,177,178,169,150,130,116,115,117,117,121,128,137,137,138,140,108,138,159,162,167,178,174,157,142,120,106,111,123,128,130,131,148,151,155,163,119,143,160,162,168,175,161,136,133,112,100,109,125,132,134,134,144,147,154,161,139,154,163,161,163,165,149,124,122,109,106,118,134,141,146,153,157,158,159,158,158,166,165,158,155,156,143,126,116,110,115,130,144,153,164,177,168,165,160,152,174,153,147,153,150,143,135,124,113,124,141,150,153,167,179,173,147,160,143,140,173,160,157,157,146,134,128,123,111,127,149,162,164,169,169,158,155,166,149,146,174,170,167,160,143,125,119,121,118,137,155,167,170,167,159,149,152,161,142,140,174,177,171,158,143,124,114,118,132,147,155,161,168,164,155,153,145,151,131,130,0
207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,207,207,206,206,206,206,205,205,207,207,207,207,207,207,207,207,207,207,207,207,207,207,207,206,206,205,205,205,207,207,207,207,207,207,207,207,207,207,207,207,208,208,207,206,206,205,204,204,208,208,208,208,207,207,207,207,207,207,207,207,208,208,207,206,206,205,204,204,208,208,208,208,207,207,207,207,207,207,207,207,208,208,207,206,206,205,204,204,208,208,208,208,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,205,205,205,205,205,205,205,205,207,207,207,207,206,206,206,206,206,206,206,206,205,205,205,205,205,205,205,205,207,207,207,207,206,206,206,206,206,206,206,206,205,205,205,205,205,205,205,205,207,207,207,207,206,206,206,206,206,206,206,206,205,205,205,205,205,205,205,205,207,207,207,207,0
159,164,177,176,152,136,134,132,113,116,122,121,110,98,103,116,114,122,143,155,172,175,187,180,151,133,124,112,96,96,102,115,123,119,105,95,107,119,145,161,168,165,169,154,120,106,100,78,73,76,83,101,120,127,115,99,103,117,147,165,148,134,132,111,77,76,81,57,56,66,73,79,91,108,123,128,109,121,148,162,132,111,112,97,64,70,82,59,56,62,63,58,61,83,112,133,122,126,142,150,132,106,115,111,74,72,84,61,64,57,49,47,52,66,90,110,128,124,129,131,150,113,122,121,73,60,71,50,64,52,46,50,51,54,73,99,124,114,112,111,173,125,127,121,63,44,57,40,58,51,53,58,50,45,71,109,117,104,99,99,180,133,118,109,65,42,49,47,64,51,53,53,55,49,46,79,104,112,108,104,172,140,128,108,60,40,47,41,52,44,52,55,59,52,49,81,103,112,108,104,165,153,141,102,49,37,48,41,47,43,55,57,58,50,44,75,99,109,104,96,159,164,150,99,47,42,54,47,52,48,58,55,53,43,36,66,103,113,106,93,144,163,158,113,69,60,61,49,53,49,54,48,46,41,39,68,112,124,117,100,124,150,160,139,111,90,69,52,49,44,45,39,44,49,52,81,111,127,123,107,118,137,154,156,146,117,81,63,53,44,44,38,47,58,60,87,106,126,125,110,122,132,144,159,161,129,92,79,63,52,48,40,50,60,59,84,107,128,129,114,140,145,154,160,163,145,107,73,71,83,54,43,56,59,76,88,105,124,123,109,136,140,148,155,164,156,127,98,93,103,71,58,71,77,95,110,101,117,114,103,127,130,132,139,152,156,138,114,111,124,97,87,101,103,117,129,107,117,109,101,123,124,120,121,135,147,137,118,115,134,115,112,125,122,127,132,124,126,112,104,1
65,81,71,84,113,126,142,143,157,97,151,158,115,138,144,129,141,132,117,104,68,87,75,100,145,149,154,170,152,99,138,144,123,149,144,123,122,122,117,109,61,79,71,107,159,158,159,182,140,107,126,123,125,155,140,118,105,115,124,126,71,80,86,122,150,159,176,179,126,124,129,112,119,144,126,114,99,113,127,131,80,78,99,123,117,142,181,152,117,145,149,123,122,127,105,98,98,109,117,113,88,85,107,123,104,132,170,128,118,152,153,130,129,122,97,84,94,104,109,104,98,104,111,129,134,143,155,129,127,139,121,108,125,130,110,87,93,104,114,115,80,98,88,112,147,136,121,115,137,122,82,77,115,139,130,101,95,108,120,125,89,97,99,123,150,133,112,129,108,84,60,64,79,83,94,121,105,103,110,115,75,93,114,125,128,134,123,102,71,59,43,43,53,57,73,101,122,124,119,108,59,87,126,124,106,125,120,65,39,43,40,38,40,40,52,75,128,144,130,107,43,77,117,121,105,103,81,35,31,47,50,46,44,36,35,48,115,146,131,104,28,69,109,135,134,87,37,25,42,53,52,44,40,29,23,29,99,128,112,83,36,80,124,160,155,79,22,35,55,55,43,35,33,24,23,36,92,101,81,52,57,96,143,158,118,51,23,36,47,43,34,34,35,26,31,53,86,78,60,42,72,100,145,132,55,14,19,22,24,25,27,37,40,28,33,61,79,63,56,50,86,100,136,101,29,21,33,17,27,39,40,33,28,27,46,75,68,80,50,54,90,106,132,104,43,25,30,22,29,38,36,29,28,32,53,84,68,81,54,62,110,128,140,123,80,45,39,43,49,53,45,37,39,46,67,97,84,94,62,66,130,150,149,144,117,66,51,65,69,70,59,49,51,56,73,98,122,126,89,86,1
72,88,102,94,78,77,70,50,63,71,73,91,128,150,147,141,141,129,129,136,90,86,82,72,63,68,69,55,47,57,63,86,130,157,157,154,158,140,133,136,103,87,77,65,52,53,61,61,59,66,74,101,146,170,166,159,145,130,128,136,97,88,86,79,57,46,56,66,73,76,80,106,147,159,141,125,117,114,128,143,89,77,78,82,69,61,66,71,82,81,85,111,148,152,125,106,106,110,130,144,92,68,60,70,75,78,77,70,74,76,81,105,137,141,125,118,108,104,112,115,100,81,72,71,68,70,67,56,47,53,57,72,93,100,106,119,112,97,92,89,107,103,101,85,59,48,47,40,46,53,54,56,64,73,94,126,119,99,90,89,104,136,109,57,47,47,36,39,33,45,47,38,34,36,61,97,114,111,100,94,103,127,100,57,53,52,41,44,32,34,28,28,39,44,54,72,89,123,124,96,102,111,82,49,48,46,35,37,36,35,28,31,43,45,43,51,73,118,129,98,116,109,75,46,41,37,30,34,44,48,45,44,45,39,38,49,77,105,115,105,138,125,94,63,48,43,44,50,53,54,49,46,49,43,41,51,78,108,119,110,141,138,119,87,60,54,59,65,60,54,42,43,55,54,47,50,64,116,135,110,126,139,141,109,68,55,60,59,65,62,54,51,58,53,49,57,68,117,138,122,113,139,155,123,72,53,55,49,66,77,77,69,59,46,49,67,94,112,131,144,111,130,146,138,113,88,71,60,57,53,54,47,37,49,71,80,107,114,121,127,101,126,150,157,148,139,133,131,90,76,72,74,78,94,106,103,122,129,133,132,83,108,136,148,147,145,147,148,131,118,114,116,111,117,122,117,120,129,137,135,89,113,137,144,140,138,140,141,143,145,152,144,118,107,116,124,113,125,135,135,1
182,147,158,155,131,123,182,194,184,179,178,148,140,150,144,168,161,118,113,140,196,149,150,156,146,127,171,193,191,165,156,141,138,138,130,158,170,145,129,125,178,161,160,134,113,86,118,152,164,137,145,166,173,154,129,141,178,184,167,139,152,168,161,91,68,57,70,87,106,96,125,168,182,163,138,132,157,183,180,161,155,157,136,61,64,70,57,54,63,64,86,116,124,128,133,121,103,133,145,152,162,143,128,63,64,60,42,54,49,58,70,81,76,92,117,98,70,91,116,138,167,146,142,71,56,51,39,57,57,67,75,83,66,76,104,79,66,88,124,146,178,156,148,68,62,82,65,53,70,70,70,78,58,63,100,78,65,94,142,162,180,178,154,95,53,70,80,50,68,59,60,71,75,72,78,91,78,117,156,168,187,204,198,146,89,72,68,55,53,50,56,69,80,85,89,92,90,121,152,163,168,192,197,170,127,87,65,68,55,56,66,87,104,110,108,106,108,124,140,148,158,163,160,162,158,115,77,78,56,50,62,91,106,102,104,115,134,136,138,141,171,159,151,169,181,137,86,77,70,47,49,79,89,82,104,143,157,151,147,151,165,158,162,181,183,142,95,80,78,47,38,60,70,73,113,168,153,148,147,155,156,152,167,186,178,153,124,101,76,55,46,60,73,90,127,167,145,143,148,159,170,161,175,190,183,175,158,128,96,91,89,99,116,138,162,178,152,155,163,175,167,180,201,202,191,197,177,126,116,152,178,152,134,151,158,163,175,179,188,195,178,183,199,203,204,219,202,151,126,151,173,153,139,150,150,153,185,188,194,198,188,183,190,195,202,223,208,158,138,150,168,158,147,149,140,143,176,179,181,180,195,185,187,189,191,208,192,143,143,149,169,166,154,146,134,142,162,164,163,159,1
161,141,149,144,127,126,127,142,173,142,118,102,109,111,99,113,118,130,136,134,167,142,138,124,109,113,113,118,144,143,145,127,119,112,103,124,109,114,116,115,143,138,148,128,104,106,105,108,108,124,139,126,119,117,109,128,120,111,104,101,129,156,191,165,120,110,110,119,116,119,124,114,129,148,140,145,147,122,101,95,157,182,212,177,127,119,123,133,137,128,120,110,133,159,150,153,172,136,100,87,185,175,172,139,115,131,139,144,154,149,142,123,127,137,129,141,182,145,102,80,188,153,133,113,117,147,153,151,174,166,157,128,110,100,92,116,150,132,104,80,188,151,134,124,135,160,158,150,164,147,129,95,70,52,43,69,99,104,99,86,199,145,140,156,143,140,135,101,97,92,76,55,42,39,39,38,51,59,96,93,159,122,133,151,117,87,70,39,37,42,43,36,35,40,45,47,53,65,105,99,143,130,148,142,82,40,39,34,32,41,44,41,40,45,52,55,61,77,118,107,148,162,179,143,64,28,42,49,36,44,46,40,36,40,48,54,76,92,128,112,151,179,192,145,76,50,43,23,20,31,38,40,42,51,58,62,81,98,131,112,167,187,184,142,105,94,74,35,36,45,53,57,58,58,55,51,75,97,133,109,194,204,196,162,134,127,118,101,93,92,86,78,71,65,56,46,85,116,155,123,205,221,224,196,154,129,130,139,155,144,127,110,103,102,98,92,110,147,188,150,197,210,214,200,176,153,130,114,133,139,163,143,159,170,167,153,144,177,178,153,202,210,213,209,199,185,164,146,129,133,173,179,195,188,181,177,159,180,169,136,202,205,208,214,218,216,199,182,144,134,180,198,205,177,167,171,146,163,152,124,194,195,200,210,221,224,212,199,166,138,174,186,185,156,146,147,118,144,146,131,1
72,76,76,71,72,80,87,89,63,55,52,54,50,43,44,51,54,58,53,53,79,84,83,76,70,71,71,69,46,41,40,45,46,45,52,63,75,81,75,65,74,83,88,83,71,60,47,40,33,28,28,34,36,38,52,68,73,93,93,78,68,80,91,90,76,55,36,24,31,25,23,24,24,29,46,66,75,109,118,104,76,84,90,86,69,50,35,30,30,24,23,23,23,30,52,76,108,142,148,128,82,80,75,63,45,32,29,34,23,20,21,26,27,39,68,98,132,156,152,125,72,69,61,50,33,20,22,31,20,19,22,25,29,41,74,105,131,151,148,127,60,61,61,55,39,23,23,30,21,20,22,25,25,37,69,101,130,153,159,154,61,48,51,56,39,22,23,27,23,29,30,21,23,47,77,96,120,160,177,167,64,50,49,47,30,21,23,26,22,26,28,25,35,59,85,101,122,156,167,154,67,58,54,46,29,24,24,18,22,24,26,30,47,73,96,109,133,159,161,144,51,50,52,46,31,29,28,16,22,24,28,36,52,77,101,116,145,163,158,141,44,45,49,43,28,27,29,20,22,26,32,40,51,72,96,116,150,166,161,146,85,80,79,63,35,22,23,20,22,26,33,42,52,66,89,108,149,167,168,158,129,122,122,104,62,29,21,20,23,23,31,45,57,68,82,94,136,158,167,165,133,131,142,135,89,44,28,27,23,21,28,48,63,72,77,83,116,141,157,159,117,114,126,147,104,55,42,27,27,20,33,32,69,65,65,90,115,131,148,154,108,108,118,132,98,58,54,41,28,25,40,36,72,73,71,89,103,119,135,141,117,121,121,116,87,53,52,38,31,35,54,45,77,87,86,91,81,97,111,117,131,136,128,105,83,47,48,29,36,44,68,56,83,100,101,94,70,84,98,103,1
181,194,192,177,164,152,150,160,157,158,172,180,176,184,199,206,219,190,177,180,171,185,189,185,178,163,157,166,162,161,172,179,177,184,197,199,209,187,179,186,174,181,182,185,182,167,161,172,178,175,183,188,187,194,201,197,194,177,174,179,186,183,174,172,173,163,162,179,193,189,195,199,196,204,207,197,176,164,166,169,181,177,166,164,169,165,169,186,196,193,196,198,197,205,204,190,170,162,167,170,164,172,170,171,179,180,182,192,193,194,199,200,197,205,205,190,184,176,177,178,168,186,190,184,190,194,194,196,192,197,204,205,201,209,211,196,197,186,181,177,186,208,208,192,193,198,197,196,189,195,205,205,202,210,212,197,195,183,176,171,195,200,204,200,191,187,191,199,196,215,203,211,222,205,207,217,204,151,157,155,187,193,197,196,190,187,189,192,191,208,196,201,212,202,207,214,204,163,172,171,177,182,188,191,192,191,192,192,196,211,200,203,210,207,216,218,188,161,172,174,173,175,179,185,190,194,196,196,190,201,190,194,198,197,208,204,178,161,164,168,178,176,176,179,183,189,190,191,191,193,184,193,192,188,200,195,179,164,151,154,185,181,177,175,175,176,177,178,189,176,169,184,180,171,188,185,163,154,129,126,187,184,181,176,173,170,170,170,172,146,135,158,151,141,163,168,153,158,133,133,184,185,184,181,176,172,171,171,180,143,131,157,150,139,167,178,169,187,170,176,177,170,167,175,186,186,173,159,134,141,159,163,148,148,165,177,166,178,190,191,164,164,167,175,182,181,175,167,143,153,165,157,137,143,162,172,158,169,178,177,155,162,170,175,176,174,172,170,161,174,178,155,135,152,175,177,165,174,180,176,160,166,174,176,173,168,166,164,172,186,183,153,140,171,193,181,181,188,190,185,0
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188,187,186,187,186,188,189,190,190,188,186,184,183,182,183,183,184,185,187,188,193,192,189,188,187,186,186,186,184,183,181,181,180,180,182,182,190,191,193,194,195,194,192,189,188,187,186,186,182,181,181,181,181,183,184,184,189,190,191,192,193,193,192,192,191,191,192,192,188,188,188,188,189,189,189,189,187,187,188,188,196,195,195,194,195,194,194,195,194,194,195,196,195,194,193,192,193,193,192,192,201,200,199,198,197,197,197,197,199,199,200,200,199,199,197,195,200,200,199,198,203,202,201,202,201,201,202,202,202,202,203,204,204,204,203,202,205,204,202,201,200,200,201,203,205,207,209,209,203,204,206,209,210,210,209,208,211,210,208,207,203,206,206,206,207,209,206,203,207,207,207,207,208,208,208,208,209,209,209,209,206,219,213,202,207,212,208,203,208,208,208,207,207,208,208,208,210,209,209,208,188,222,221,200,206,214,209,207,208,208,208,207,207,208,207,207,211,210,209,207,145,206,226,205,207,212,207,210,208,208,208,207,207,207,207,207,212,211,208,205,108,181,225,220,211,208,205,209,208,208,208,207,207,207,207,207,211,208,205,202,106,155,209,226,215,207,208,206,208,208,208,207,207,207,207,207,205,203,199,195,129,131,176,216,214,212,216,204,208,208,208,207,207,207,207,206,198,195,191,187,149,113,144,200,209,217,224,204,208,208,208,207,206,207,207,206,192,189,185,181,150,141,114,113,163,216,224,212,211,213,214,213,211,208,198,190,195,185,178,177,132,153,146,119,113,142,190,234,221,221,216,208,202,201,197,193,191,182,175,175,129,146,148,131,116,116,147,188,200,206,206,199,192,192,191,188,186,177,172,173,147,135,126,136,149,135,120,125,159,177,193,194,192,192,190,184,181,174,169,171,0
161,174,193,205,176,157,173,164,153,179,167,133,123,128,135,151,156,157,209,229,157,167,185,206,187,166,172,158,154,169,161,133,120,124,135,146,158,147,192,220,163,171,188,214,203,177,174,159,163,161,157,141,123,128,146,153,158,137,172,202,176,187,199,219,206,177,174,170,170,155,153,143,122,130,155,161,156,142,167,181,176,194,197,204,190,165,170,176,171,154,148,135,113,122,150,157,160,164,182,170,169,191,181,177,172,159,164,168,169,164,155,134,116,125,149,161,168,187,203,178,179,196,171,161,173,172,166,151,162,176,168,143,134,144,161,176,170,192,213,198,197,208,173,161,186,192,172,138,148,179,173,148,148,160,173,192,167,187,213,215,187,184,174,171,181,189,169,141,152,176,170,161,172,166,161,186,194,197,205,214,154,162,165,165,173,182,170,150,165,193,184,164,167,166,170,196,192,190,192,200,143,160,171,168,165,166,158,144,157,182,174,154,155,159,171,196,203,195,192,198,159,177,186,176,166,162,153,140,151,156,152,153,163,164,167,186,197,189,186,190,175,187,189,178,172,172,164,151,159,141,140,169,194,187,178,187,195,194,195,198,184,190,186,176,175,179,170,154,152,126,131,174,206,206,198,198,200,201,204,207,179,185,182,173,174,180,173,156,158,141,144,169,191,203,204,198,186,181,178,179,163,172,174,170,175,184,181,167,192,184,180,175,175,192,200,187,184,172,162,161,168,168,175,170,173,172,163,184,207,215,190,182,188,191,202,202,201,180,157,147,170,167,170,158,159,162,161,189,198,203,182,185,199,204,210,202,194,173,152,141,172,174,179,164,160,164,167,198,192,192,177,191,210,216,218,200,192,176,161,156,168,180,194,181,174,172,171,199,193,189,179,198,213,218,220,199,178,167,158,158,0
199,185,168,175,180,144,110,116,118,104,126,127,139,160,131,111,99,107,114,112,196,186,164,163,169,144,118,126,122,117,119,117,128,133,104,83,91,100,104,99,191,189,168,156,161,146,126,130,138,149,126,121,132,119,95,74,92,103,104,96,185,193,174,154,157,148,131,131,161,186,150,144,156,133,117,101,118,125,120,104,176,188,169,145,147,147,137,141,173,203,172,163,171,147,138,128,142,143,130,110,164,177,157,132,137,144,145,159,166,193,181,165,158,141,134,133,132,133,130,121,151,167,155,138,144,146,149,166,156,172,184,161,138,132,123,128,127,136,152,167,142,163,162,154,160,153,147,162,151,158,189,161,129,129,121,130,146,161,191,220,133,141,165,168,148,150,158,150,152,147,164,159,133,111,108,143,161,167,183,202,134,131,143,151,147,158,163,147,154,159,170,152,134,129,121,129,148,160,166,162,150,144,147,149,146,153,155,144,163,172,171,136,129,152,142,127,157,172,171,148,151,156,162,156,143,138,143,146,171,175,165,123,122,158,157,142,153,162,160,146,135,149,159,159,150,141,142,150,169,166,157,125,122,147,147,145,141,139,142,148,139,152,159,166,169,156,142,146,161,154,157,140,131,135,126,130,137,130,133,146,145,165,175,179,180,156,137,146,157,151,159,149,141,135,120,123,127,127,125,124,132,168,186,186,175,144,133,155,160,154,161,149,143,142,127,128,134,142,136,117,138,167,192,188,179,145,124,166,152,158,160,149,130,129,139,152,148,187,162,136,143,167,173,148,145,139,129,158,150,159,165,158,142,135,139,145,160,200,177,153,160,177,168,128,134,155,147,154,147,156,169,163,153,139,135,131,149,191,169,144,177,184,174,142,155,180,163,151,142,149,167,160,158,136,129,118,129,172,149,121,0
152,175,196,189,176,185,190,175,178,209,193,190,210,206,207,214,206,194,161,135,179,183,187,181,184,205,211,191,192,217,202,201,208,187,189,205,186,185,165,145,177,176,173,167,174,203,218,204,198,195,165,174,190,168,155,155,158,173,173,164,156,168,177,167,157,174,193,192,180,169,135,140,160,150,137,122,140,167,181,181,148,167,185,176,156,158,169,166,161,174,155,142,140,141,150,141,151,180,195,194,147,157,170,171,163,167,168,154,161,177,162,147,144,155,170,152,183,206,212,203,158,156,160,159,158,166,171,158,165,165,151,151,157,168,179,156,192,208,206,193,184,177,170,156,143,151,162,158,154,160,161,171,164,163,184,180,177,189,184,173,190,177,165,145,124,126,142,149,166,173,188,180,149,178,170,185,181,180,183,189,165,151,154,154,131,119,144,172,184,187,197,192,169,191,173,177,168,174,183,189,146,138,147,152,140,137,157,178,188,181,173,166,160,185,178,182,167,177,188,191,142,141,143,137,141,162,171,156,165,160,147,144,159,182,187,193,184,191,195,193,144,141,141,139,143,162,167,151,149,158,156,161,187,192,194,195,201,202,198,190,150,136,147,165,159,150,161,175,159,172,163,164,196,188,194,195,202,202,196,187,150,133,150,178,172,154,161,181,164,174,155,155,198,186,200,204,196,203,202,193,142,131,144,166,171,166,163,159,150,166,154,165,221,205,215,211,193,206,211,202,153,149,156,164,165,170,169,157,128,127,136,170,209,216,208,211,214,219,217,207,159,157,162,165,158,158,159,150,130,125,125,146,174,179,175,183,195,203,207,205,164,160,164,164,152,151,154,148,137,126,113,118,135,138,140,151,175,183,192,197,165,155,158,161,154,153,158,154,148,131,106,101,116,121,123,131,121,127,135,141,0
130,90,105,86,94,94,109,127,136,115,126,152,111,100,150,144,144,148,118,108,140,109,128,119,125,116,127,148,153,117,119,161,140,116,142,140,133,142,117,105,144,120,125,111,107,92,95,113,115,96,101,146,159,142,138,123,124,140,123,115,147,132,108,76,67,63,62,67,75,84,84,99,128,144,136,115,123,142,130,127,148,149,104,65,65,81,78,67,81,89,78,64,84,112,117,122,136,149,131,125,135,149,94,61,67,91,81,61,77,73,78,74,78,80,82,109,150,158,135,124,129,142,79,59,62,75,64,55,62,56,82,85,78,70,58,78,133,150,135,129,142,149,78,70,69,72,65,74,73,68,89,73,59,69,57,58,98,128,129,133,135,164,78,54,73,71,54,63,62,61,74,76,60,51,57,62,67,80,139,143,115,141,75,65,69,57,54,74,68,62,68,66,49,43,56,64,58,72,132,157,109,119,67,74,67,55,60,75,67,63,67,63,48,46,58,64,58,65,110,147,125,120,66,75,66,63,68,61,57,59,70,71,57,54,61,62,64,63,90,128,134,138,87,80,57,60,69,49,51,55,67,68,56,54,59,55,60,62,90,128,126,152,113,96,54,47,60,50,54,55,60,56,44,48,58,55,51,63,105,136,114,151,122,115,75,50,53,55,56,55,58,54,46,55,69,68,58,75,127,136,110,143,116,127,101,65,52,56,52,55,62,62,58,70,84,82,74,93,144,134,125,136,126,117,118,96,75,79,66,51,57,69,71,102,110,77,99,124,136,138,133,141,130,123,131,124,117,132,115,87,89,96,81,89,104,93,131,145,144,138,141,145,129,122,134,138,145,172,175,138,146,153,124,104,124,131,148,159,152,141,150,151,131,120,128,129,142,174,171,141,165,174,146,113,132,139,115,133,134,124,1
201,160,182,169,167,146,143,162,138,101,66,96,99,107,132,178,201,233,230,208,186,165,162,165,159,138,146,147,75,70,57,89,88,93,121,170,199,232,237,224,170,172,148,165,150,134,140,116,52,71,71,112,110,102,119,157,170,203,222,223,165,176,159,173,148,142,120,85,53,70,73,135,136,111,116,138,140,165,189,201,167,174,185,183,155,159,102,68,52,63,75,159,151,117,133,150,138,147,168,184,174,175,201,186,161,161,98,62,49,58,83,167,137,107,152,165,140,134,151,173,185,189,202,182,164,142,103,58,41,44,67,143,98,94,163,151,135,116,131,161,196,204,197,178,162,118,109,53,50,44,59,129,90,116,196,156,135,108,119,148,185,187,170,143,125,144,134,53,35,43,53,95,102,131,192,157,142,156,141,167,159,168,158,138,127,152,146,66,39,39,41,79,92,125,184,155,175,183,159,176,150,163,162,148,138,160,147,63,40,34,30,63,80,119,176,155,169,172,140,149,154,165,167,161,152,168,147,57,42,35,31,55,73,112,165,157,169,172,139,147,159,159,155,154,149,164,147,66,48,43,41,55,67,101,146,151,161,170,141,151,168,153,140,138,128,135,128,66,59,53,52,56,65,93,128,144,160,177,156,167,168,149,141,143,116,103,101,58,69,58,56,57,70,100,127,148,172,199,188,205,155,143,146,156,121,93,90,56,74,59,55,56,78,112,136,159,138,172,170,192,152,150,150,135,127,110,70,61,61,62,60,62,85,120,145,152,130,149,182,198,149,149,147,128,118,104,70,66,67,63,63,71,96,128,154,166,137,152,183,200,147,148,144,118,104,94,71,75,73,67,72,94,119,137,154,168,144,154,179,197,145,149,143,110,92,87,74,84,75,69,84,120,143,142,143,153,145,150,173,193,1
105,108,104,106,114,108,98,100,102,91,97,89,83,79,65,70,97,94,79,72,105,122,125,115,111,111,106,103,87,77,86,82,80,79,66,72,98,103,86,63,91,111,113,98,94,103,100,85,81,68,76,79,86,91,81,86,106,118,97,60,104,107,105,98,100,114,109,88,89,70,70,74,91,109,103,109,115,120,100,69,120,107,109,110,104,109,109,97,88,61,54,56,78,104,103,112,115,112,99,92,117,105,114,115,93,87,95,89,65,42,35,33,50,73,77,89,112,111,112,124,125,113,122,121,102,101,101,74,40,29,35,29,32,44,48,66,103,118,130,142,126,106,109,111,107,122,106,49,28,31,48,41,30,32,35,58,87,117,135,139,122,97,94,122,101,120,89,32,34,32,31,31,35,42,51,56,82,121,143,141,120,99,89,109,93,105,71,25,28,30,33,32,35,39,47,54,64,102,124,124,112,100,84,94,89,87,50,20,27,32,35,33,29,28,31,37,44,81,105,108,102,100,84,85,93,76,39,24,29,33,34,32,29,26,26,26,44,80,105,112,98,100,90,85,98,69,34,30,29,29,28,31,33,35,35,34,56,91,118,130,98,96,93,86,95,58,34,34,34,32,29,28,29,33,37,38,68,101,126,140,92,83,86,79,84,46,37,41,39,41,40,35,32,39,53,65,92,118,137,147,84,69,77,70,74,39,42,47,37,46,52,50,48,60,88,111,122,142,154,158,68,71,86,97,79,45,36,53,32,47,56,51,63,105,129,118,120,134,154,169,72,69,80,96,86,59,53,67,51,60,69,67,78,116,142,137,125,136,152,163,79,67,73,93,96,79,73,85,77,77,82,86,94,122,149,153,138,143,149,152,88,68,65,88,100,90,85,92,97,88,91,95,99,118,145,157,145,147,149,146,1
219,214,208,205,206,207,210,208,202,220,223,195,145,106,121,172,176,154,184,207,211,205,200,202,208,212,210,205,201,205,200,183,153,117,111,134,165,150,172,174,201,194,190,195,204,208,203,194,189,189,184,178,164,132,114,122,142,140,157,151,201,196,192,194,200,201,197,190,179,186,188,186,176,153,146,161,129,127,145,155,206,204,201,199,198,197,198,198,189,194,192,188,182,172,174,193,148,131,134,160,202,203,202,199,195,193,196,201,199,194,179,175,180,175,173,183,187,152,129,148,206,204,202,200,198,195,193,192,193,190,178,175,182,177,170,174,207,172,129,131,219,215,210,209,207,202,193,186,185,194,194,195,196,186,180,188,205,180,135,125,218,204,203,209,211,214,211,201,198,202,212,222,219,203,189,183,185,184,150,102,204,200,208,214,210,210,211,203,201,206,209,211,207,198,191,186,181,180,150,112,185,186,197,201,192,194,202,201,205,210,207,193,182,180,177,171,166,162,139,123,193,192,195,187,172,174,183,183,200,209,204,185,174,176,175,168,162,154,135,144,216,212,210,196,178,176,177,167,178,190,192,182,179,186,187,180,177,164,139,163,209,210,214,208,196,196,191,176,161,167,168,165,166,173,174,167,183,168,132,155,196,200,208,203,196,203,206,194,168,163,155,153,156,159,160,158,179,167,124,139,206,208,209,195,183,193,205,198,187,172,160,160,166,171,175,179,182,176,131,142,195,208,200,195,183,178,200,207,197,185,170,167,178,187,182,169,166,153,141,139,202,214,206,200,185,176,194,200,193,186,175,169,174,182,182,177,165,153,142,143,204,216,209,204,189,176,191,196,181,179,171,162,161,168,176,178,179,167,157,158,198,210,206,207,193,178,191,197,195,193,184,174,173,181,192,197,198,184,173,172,0
110,156,161,136,161,176,150,161,158,193,177,176,204,204,191,182,177,190,203,208,121,153,157,140,163,170,144,160,168,189,167,168,197,198,191,186,183,196,208,212,135,145,147,143,166,164,140,164,179,188,163,171,197,195,192,191,194,205,213,213,142,134,134,144,168,162,144,176,174,177,160,176,200,195,199,202,197,207,213,210,146,126,126,142,165,164,155,190,169,165,151,168,183,180,194,201,194,209,216,210,151,129,129,137,155,163,164,194,189,175,151,157,160,157,171,171,193,215,228,220,164,144,139,133,143,159,166,188,205,187,162,166,167,165,170,152,162,197,224,224,174,157,149,131,134,155,164,180,195,183,168,182,196,199,196,163,115,161,206,218,198,169,137,133,147,153,165,190,206,165,161,180,180,183,205,218,176,149,136,203,186,178,161,145,137,136,157,188,189,162,167,188,183,177,193,205,220,188,145,167,174,182,184,167,143,134,143,157,164,153,169,191,184,172,180,193,212,197,155,161,185,189,189,173,154,150,148,139,146,146,164,183,181,171,177,190,190,187,159,177,191,187,185,170,153,161,166,154,149,152,161,172,176,172,180,197,216,200,167,187,152,160,182,183,158,158,165,152,159,165,164,165,171,172,183,206,239,215,180,206,131,142,179,192,164,155,156,140,155,170,168,162,166,168,184,214,232,212,179,207,161,151,173,184,160,158,163,148,142,166,168,159,161,164,183,220,228,207,164,179,146,155,175,183,171,159,148,135,139,170,187,162,139,163,199,208,206,205,192,173,169,163,166,170,166,162,154,139,134,157,174,165,153,174,199,202,196,194,180,161,189,170,160,163,167,169,157,135,128,139,158,169,171,185,199,196,198,193,178,160,194,172,162,166,173,172,153,124,122,126,148,172,181,189,196,195,206,199,183,167,0
229,237,225,197,184,185,204,231,239,236,227,215,215,223,225,221,218,219,218,216,218,222,210,195,192,190,194,206,224,221,217,213,217,227,236,238,236,232,227,221,201,196,180,175,185,189,189,196,215,211,209,212,216,217,221,224,212,205,196,190,186,172,150,143,160,173,192,216,220,212,209,214,216,210,203,200,178,172,165,164,174,160,139,131,138,153,188,229,233,223,214,214,218,216,211,207,190,186,184,188,162,156,145,140,139,137,165,207,240,235,222,210,209,215,217,214,216,215,215,219,152,148,146,151,148,129,130,158,223,234,232,213,203,209,213,211,220,220,220,220,144,139,140,151,151,123,107,122,190,223,240,224,209,212,216,212,218,218,217,215,111,130,134,130,132,123,102,91,147,212,240,216,223,214,220,210,218,217,216,214,95,123,146,155,153,133,102,85,139,196,238,225,223,206,214,207,207,208,210,211,69,97,132,154,153,131,100,80,121,164,230,238,228,206,213,210,208,209,210,211,72,79,99,115,114,104,84,65,110,138,219,243,238,214,216,209,212,212,211,211,108,93,85,84,81,88,79,54,104,120,203,232,240,229,220,211,213,212,210,208,134,109,93,82,85,113,117,85,86,102,177,197,229,241,233,227,225,222,218,214,134,113,101,91,100,152,172,137,81,102,158,155,201,237,230,232,231,230,229,227,130,115,105,93,103,169,199,166,98,122,159,130,174,217,208,214,220,224,231,237,169,126,111,131,126,181,212,203,133,131,164,121,118,174,164,167,179,169,206,228,165,142,130,145,135,174,197,197,160,159,171,116,84,116,129,147,155,143,174,195,155,156,142,138,111,118,120,130,124,135,144,123,91,96,117,128,132,115,143,158,167,187,169,147,102,81,67,87,82,94,104,127,122,110,127,116,123,105,131,144,0
173,172,168,161,151,138,125,117,122,126,134,141,144,140,132,126,122,127,135,138,176,174,167,156,140,123,109,102,95,99,105,111,116,117,114,110,113,117,123,126,166,163,156,139,120,101,89,83,74,74,77,81,86,89,90,89,93,96,100,101,143,140,131,117,99,83,75,72,70,69,68,69,72,73,72,72,72,72,73,73,122,119,111,98,84,73,69,68,69,68,67,68,68,67,64,62,58,56,54,54,114,107,96,86,77,71,68,68,61,61,62,64,65,64,60,56,54,53,50,50,108,99,86,77,74,72,70,67,59,59,59,59,60,60,58,55,54,53,52,54,103,91,77,70,71,73,71,68,65,63,60,58,59,59,58,57,54,53,54,58,97,86,74,70,70,68,70,73,66,65,62,62,64,64,61,58,56,52,59,72,94,83,73,70,69,67,68,71,66,63,60,60,61,62,60,59,58,58,67,82,89,79,71,68,67,64,64,66,66,63,59,58,59,60,60,60,57,61,75,93,83,74,68,67,66,62,60,61,64,64,61,60,59,58,57,57,57,67,86,104,81,73,67,67,65,62,59,60,60,61,62,61,58,57,55,55,64,77,98,117,83,74,67,67,66,63,61,61,55,58,60,60,59,58,59,60,73,87,108,123,85,76,69,68,68,64,63,64,58,59,61,61,63,67,73,78,87,103,121,130,88,79,70,68,68,66,65,67,63,64,64,64,67,76,88,97,108,122,137,144,103,92,81,75,70,68,70,75,71,74,75,76,78,89,104,116,132,137,144,148,112,99,88,81,76,72,74,79,75,79,84,89,94,104,120,130,140,145,150,152,133,120,107,98,92,87,88,92,90,97,106,114,122,130,139,147,139,142,144,145,150,137,122,112,104,98,98,102,104,113,125,133,140,143,146,148,133,133,133,133,1
113,130,136,124,120,128,139,141,136,149,151,148,155,156,156,164,173,175,164,146,122,143,138,122,133,147,144,130,134,152,159,153,145,135,137,154,155,154,144,128,128,153,140,118,135,150,137,124,116,130,139,140,134,116,111,126,133,133,133,133,124,147,135,116,126,129,117,119,111,112,116,129,140,129,117,124,143,142,145,150,121,126,121,123,128,111,92,95,91,91,88,98,115,117,118,131,149,151,157,165,123,109,114,133,129,99,72,63,64,73,69,62,65,76,99,127,132,140,149,155,123,109,126,137,103,74,65,53,56,74,72,56,55,68,89,110,118,128,131,123,121,118,146,133,68,45,65,63,43,65,65,53,59,70,74,74,101,115,118,106,118,138,154,103,51,52,63,72,55,52,56,65,64,56,54,60,67,90,118,122,128,130,137,98,59,61,65,73,64,62,68,76,73,60,52,54,67,75,106,133,136,122,118,86,59,62,60,63,66,67,75,86,83,68,55,53,58,52,85,135,135,124,118,81,53,61,59,55,60,61,71,85,86,72,62,59,55,47,79,129,127,129,131,85,52,64,64,59,57,55,63,77,80,71,63,62,63,64,89,119,116,122,132,94,62,68,67,65,64,58,61,70,74,65,59,58,70,74,91,102,127,117,127,113,87,77,68,72,74,66,64,71,72,62,54,53,68,65,75,82,152,122,129,134,115,91,72,81,79,70,68,74,75,64,55,53,68,55,61,71,133,142,142,131,128,124,101,72,64,65,64,64,67,67,57,43,47,51,55,57,123,132,137,132,128,124,113,100,76,72,70,74,73,65,51,40,47,51,55,57,119,123,132,136,131,122,121,127,106,94,91,101,97,75,55,49,47,51,55,57,126,121,129,142,138,121,122,138,132,113,111,127,120,86,63,61,47,51,55,57,1
122,107,83,65,62,77,102,120,111,135,170,198,216,221,212,201,193,175,161,161,117,100,90,95,101,103,115,132,151,171,195,209,216,217,213,209,210,196,184,183,113,91,88,109,127,134,148,170,182,196,208,208,205,204,207,208,214,205,198,196,103,94,99,123,147,161,178,195,188,198,204,201,197,198,201,202,206,204,200,195,114,127,146,160,173,182,186,183,189,196,201,203,204,206,204,200,202,207,205,197,165,180,187,182,181,187,185,176,189,196,203,205,209,210,206,199,203,212,211,198,196,195,190,182,181,184,185,184,187,196,204,205,204,206,205,203,199,211,210,193,182,174,174,185,192,187,182,181,187,199,206,204,200,203,210,212,196,210,209,189,173,177,181,183,184,186,189,193,194,185,194,207,200,194,203,211,196,226,201,158,173,178,184,187,187,187,188,190,193,190,193,193,187,195,208,209,197,218,190,148,170,175,182,187,188,188,187,187,185,189,192,183,178,192,202,192,193,200,167,128,173,176,180,184,186,187,187,187,177,181,188,185,179,186,186,170,180,172,137,105,187,186,184,184,185,186,186,186,179,173,179,186,182,180,177,167,173,154,122,102,198,194,189,186,185,185,184,183,185,173,174,183,181,181,181,174,170,145,121,113,191,187,184,183,185,185,184,182,183,178,179,179,177,184,181,163,142,113,98,101,174,174,174,180,184,186,185,182,176,183,187,178,175,186,174,140,101,71,61,69,170,165,163,163,160,159,166,178,188,183,180,175,175,176,149,105,74,61,56,61,161,157,155,155,152,150,156,165,175,175,181,179,167,156,132,99,94,75,62,63,138,136,135,134,131,128,131,138,134,138,152,155,137,125,119,109,116,89,66,61,119,120,120,118,114,110,112,115,108,107,117,120,104,99,114,126,126,94,65,57,0
200,202,205,205,206,206,208,209,204,199,193,194,202,210,212,210,207,207,208,211,190,193,198,204,208,210,209,208,198,194,190,193,202,212,213,211,208,207,206,208,175,179,189,201,210,212,208,203,188,182,180,187,200,209,212,211,210,208,205,204,159,164,176,192,204,207,200,191,174,170,169,179,192,202,208,210,210,210,207,205,143,148,160,175,185,186,177,167,153,149,150,161,173,181,190,199,203,209,211,208,127,132,140,147,152,149,140,133,115,112,116,125,131,136,151,167,188,203,212,210,114,116,119,119,116,109,101,96,82,81,85,92,93,96,114,138,170,192,211,211,106,107,106,101,92,82,76,72,72,71,76,81,77,79,101,128,157,185,210,211,105,100,91,81,73,69,68,67,73,70,73,77,76,78,95,115,146,172,199,207,109,100,87,75,70,69,70,71,72,69,69,72,72,74,91,111,141,170,196,204,113,100,83,69,64,68,72,74,71,67,65,68,67,71,88,110,139,168,196,204,115,101,81,68,64,68,72,73,73,66,63,66,66,72,91,112,144,170,197,207,116,105,88,75,69,69,70,70,72,65,60,64,67,75,95,116,148,171,194,203,120,113,100,86,76,70,68,68,68,60,58,63,70,80,99,119,149,165,184,192,127,122,111,96,80,70,69,70,66,59,58,68,75,87,106,126,149,159,173,181,131,128,118,100,81,69,68,72,67,60,61,72,82,94,115,133,150,157,166,175,131,133,124,102,78,68,68,69,71,77,84,91,99,111,123,132,144,148,159,171,131,135,129,110,88,78,77,76,85,92,101,109,113,119,127,134,143,148,159,170,128,135,136,121,103,92,87,87,99,109,119,124,125,126,130,133,142,146,157,169,123,134,140,132,115,104,98,95,107,117,126,128,126,125,128,133,141,145,156,168,1
119,128,161,199,167,162,189,155,155,157,161,161,165,179,175,151,156,142,157,142,128,145,162,190,185,177,192,178,179,159,156,163,160,157,160,160,165,151,159,145,160,169,160,164,171,155,161,166,177,155,149,154,149,151,166,177,170,155,152,138,195,178,167,150,140,118,130,136,166,163,160,149,143,162,183,184,174,159,141,127,202,161,178,161,129,104,127,121,145,143,142,131,119,128,144,145,181,172,137,121,182,135,178,167,130,96,114,101,126,106,106,113,97,84,94,110,168,176,135,110,169,127,167,150,134,90,93,91,121,99,97,106,90,75,84,101,120,153,118,87,170,136,158,132,144,99,91,110,103,95,89,76,59,59,68,68,70,123,95,61,162,135,121,126,120,96,80,82,79,58,57,66,55,41,49,63,71,90,67,53,124,120,122,125,106,71,48,45,64,56,47,40,35,34,47,64,84,96,65,31,117,123,131,133,114,80,47,29,40,59,53,38,42,45,52,72,77,98,80,37,125,123,120,121,117,97,59,27,19,58,66,58,60,44,39,66,88,117,111,51,132,129,123,122,122,110,75,42,31,67,79,78,73,48,46,86,145,167,159,68,128,133,136,137,130,110,81,57,37,56,65,69,70,65,86,134,147,168,174,77,120,121,126,133,129,106,76,55,35,45,56,64,77,100,134,161,130,146,165,74,140,126,122,136,146,129,95,68,72,83,99,109,124,158,182,181,185,182,187,87,161,139,153,181,168,123,93,86,113,123,129,139,145,178,219,209,221,240,192,138,139,137,168,193,167,123,115,132,150,155,152,151,144,164,197,182,201,214,166,120,132,138,174,200,173,135,141,171,179,181,173,168,155,169,198,182,191,193,144,111,149,141,166,195,183,154,157,178,185,186,180,178,165,179,208,194,194,186,135,112,1
155,156,161,165,165,166,175,186,185,158,163,172,186,181,166,198,187,194,195,187,156,162,165,163,164,173,188,197,198,174,176,180,188,180,167,199,197,203,204,198,157,167,170,165,161,173,192,203,201,182,179,180,184,174,165,192,195,195,191,184,158,167,178,177,166,162,181,203,196,183,175,178,184,173,165,182,207,203,194,184,157,163,180,193,178,161,176,208,197,189,175,181,190,178,170,175,203,198,190,182,151,154,172,190,184,170,183,211,192,192,173,178,186,174,171,169,180,176,167,158,141,144,152,162,170,178,189,198,179,187,168,171,174,162,173,174,186,182,170,157,132,137,132,130,150,180,188,178,167,184,167,167,167,157,179,187,194,191,180,166,129,108,109,114,121,163,190,169,156,196,180,169,168,162,181,189,196,168,186,160,75,60,64,68,76,125,172,170,167,182,156,159,187,196,202,191,184,160,177,156,57,48,48,40,35,78,135,157,175,176,155,170,206,219,214,194,172,157,178,173,78,76,73,53,29,52,108,141,173,183,186,194,197,187,173,160,138,137,166,188,72,79,82,64,40,50,97,138,162,178,205,202,168,131,103,93,89,101,137,186,49,58,64,58,45,54,96,140,150,157,191,189,148,108,72,61,71,86,118,184,46,49,49,52,57,73,116,164,159,148,178,174,137,104,71,63,69,79,95,165,57,54,49,56,75,101,148,201,183,161,183,169,122,91,64,62,55,59,61,128,97,102,95,107,118,148,148,193,197,167,141,126,116,107,84,51,49,37,64,87,144,152,149,157,155,158,130,153,192,161,127,102,89,87,78,60,67,50,69,84,147,148,142,145,150,153,127,148,175,152,116,85,69,68,70,67,72,50,62,69,173,160,143,135,146,146,125,146,154,145,119,87,70,62,63,68,65,42,51,58,0
179,175,165,162,172,187,195,192,191,198,207,202,190,192,196,184,183,169,154,151,176,177,183,178,183,192,187,186,196,193,199,199,194,195,189,172,174,164,156,155,175,176,201,196,195,201,178,178,186,177,179,188,192,195,184,161,152,152,158,168,174,170,199,196,198,203,172,171,179,164,165,177,183,183,170,148,139,148,166,183,172,162,179,182,192,198,173,170,184,166,163,172,169,165,158,146,148,155,168,179,168,162,159,173,188,191,185,176,185,165,161,169,165,162,167,169,162,160,160,160,170,174,158,183,198,191,207,193,195,169,160,165,161,163,180,192,163,161,161,162,175,191,166,201,213,195,226,207,215,182,165,165,158,157,175,190,162,165,176,188,170,179,191,214,206,193,208,209,197,189,165,158,153,151,168,171,166,168,191,215,185,189,187,204,205,192,201,201,212,196,172,176,174,161,172,175,166,165,184,206,185,187,173,186,197,186,189,189,198,180,160,176,178,159,164,169,171,166,180,197,171,179,166,179,194,184,184,184,185,179,164,172,170,155,163,162,173,166,174,187,171,183,180,192,197,184,187,182,189,200,187,177,165,161,173,165,169,162,169,178,179,184,189,201,187,177,188,174,168,191,181,164,152,158,177,168,166,163,172,178,177,169,179,192,169,171,196,174,152,170,161,152,146,151,170,166,157,159,171,178,173,154,165,182,158,173,212,185,174,179,167,164,159,153,168,165,142,148,163,170,177,183,175,164,167,172,178,191,187,182,162,167,172,169,172,159,144,173,160,151,179,185,179,173,177,177,178,186,200,194,173,177,182,180,185,172,164,192,175,162,183,183,174,169,177,180,182,190,203,195,172,175,181,181,186,175,170,197,179,167,189,179,159,152,166,177,189,204,198,187,162,164,172,174,180,168,168,194,176,162,0
179,176,158,154,169,164,160,176,183,183,178,174,179,188,188,181,198,194,186,176,184,179,166,164,174,175,166,163,157,160,166,167,159,154,164,180,186,185,180,171,193,181,172,166,168,180,177,157,155,156,166,175,165,152,166,194,174,176,173,168,197,185,176,164,157,182,191,168,155,151,157,165,165,160,170,188,177,177,172,164,192,187,185,172,164,190,207,189,166,170,171,165,162,167,176,181,186,185,175,161,180,187,192,185,185,205,216,206,192,201,199,181,164,166,177,184,181,183,180,170,169,180,180,178,193,209,213,213,205,199,187,172,158,153,159,168,169,177,185,185,164,172,162,161,187,203,205,214,221,191,167,165,166,156,154,158,165,178,192,196,166,172,163,166,185,186,184,201,201,191,181,173,165,159,163,172,175,199,190,191,200,202,180,160,160,161,167,187,190,174,171,181,180,165,161,171,187,203,196,201,201,211,197,168,155,154,159,172,173,154,155,177,181,164,158,169,193,198,191,201,188,200,191,163,147,149,156,160,163,153,156,169,171,163,163,170,195,191,187,197,197,195,178,148,129,138,149,148,157,168,174,172,169,169,170,168,196,191,197,203,196,190,184,167,148,149,154,143,145,169,182,174,166,168,165,155,181,186,206,207,187,183,196,198,180,171,168,153,143,158,168,165,160,160,157,150,155,172,206,202,194,185,197,201,179,171,175,167,153,152,154,157,158,156,157,161,139,164,205,196,192,203,190,191,190,170,166,162,146,167,178,176,171,161,161,176,152,163,179,191,169,184,177,183,185,168,165,160,156,165,162,157,158,154,152,161,152,156,161,164,157,172,163,168,172,162,165,164,167,166,157,156,167,166,156,154,163,159,152,146,163,175,157,153,157,154,168,173,165,166,163,172,190,187,166,154,172,166,155,144,0
219,214,208,205,206,207,210,208,202,220,223,195,145,106,121,172,176,154,184,207,211,205,200,202,208,212,210,205,201,205,200,183,153,117,111,134,165,150,172,174,201,194,190,195,204,208,203,194,189,189,184,178,164,132,114,122,142,140,157,151,201,196,192,194,200,201,197,190,179,186,188,186,176,153,146,161,129,127,145,155,206,204,201,199,198,197,198,198,189,194,192,188,182,172,174,193,148,131,134,160,202,203,202,199,195,193,196,201,199,194,179,175,180,175,173,183,187,152,129,148,206,204,202,200,198,195,193,192,193,190,178,175,182,177,170,174,207,172,129,131,219,215,210,209,207,202,193,186,185,194,194,195,196,186,180,188,205,180,135,125,218,204,203,209,211,214,211,201,198,202,212,222,219,203,189,183,185,184,150,102,204,200,208,214,210,210,211,203,201,206,209,211,207,198,191,186,181,180,150,112,185,186,197,201,192,194,202,201,205,210,207,193,182,180,177,171,166,162,139,123,193,192,195,187,172,174,183,183,200,209,204,185,174,176,175,168,162,154,135,144,216,212,210,196,178,176,177,167,178,190,192,182,179,186,187,180,177,164,139,163,209,210,214,208,196,196,191,176,161,167,168,165,166,173,174,167,183,168,132,155,196,200,208,203,196,203,206,194,168,163,155,153,156,159,160,158,179,167,124,139,206,208,209,195,183,193,205,198,187,172,160,160,166,171,175,179,182,176,131,142,195,208,200,195,183,178,200,207,197,185,170,167,178,187,182,169,166,153,141,139,202,214,206,200,185,176,194,200,193,186,175,169,174,182,182,177,165,153,142,143,204,216,209,204,189,176,191,196,181,179,171,162,161,168,176,178,179,167,157,158,198,210,206,207,193,178,191,197,195,193,184,174,173,181,192,197,198,184,173,172,0
78,78,79,82,80,74,73,76,76,91,88,76,84,95,99,101,93,106,117,115,77,75,75,78,78,72,70,73,78,90,88,83,95,104,101,98,102,110,115,112,80,76,75,78,79,75,72,73,75,85,84,86,101,106,97,91,114,114,111,106,88,84,81,85,86,82,78,78,78,87,87,91,104,104,94,92,119,114,107,102,94,91,90,94,94,88,84,85,89,96,97,100,106,101,97,103,116,110,104,104,95,96,99,103,100,91,87,89,93,96,96,99,104,97,96,109,116,109,106,109,96,101,108,112,105,94,90,94,92,90,86,94,103,96,95,108,121,114,110,112,97,105,115,119,110,97,94,98,94,87,82,95,109,103,99,110,130,121,114,111,108,82,88,110,106,101,106,105,97,91,81,86,107,111,105,105,121,120,116,109,103,83,87,103,100,100,105,100,85,89,79,77,99,114,106,96,111,111,110,107,101,91,91,96,96,102,104,94,78,92,84,75,96,119,114,100,108,108,109,111,102,103,100,95,97,106,103,89,73,89,86,78,92,111,116,114,112,110,109,112,101,111,106,96,100,108,98,82,65,78,80,77,84,90,103,121,115,111,107,107,93,109,105,96,104,106,89,74,66,79,83,82,82,81,93,118,117,113,110,108,83,103,101,97,110,106,83,72,75,93,97,90,89,89,93,103,111,112,113,111,77,99,99,100,116,108,82,74,78,104,107,92,92,98,92,84,99,104,109,110,82,107,117,111,106,98,92,96,100,103,103,104,109,110,100,84,81,79,90,110,94,113,118,112,109,102,96,100,106,110,111,110,113,114,106,94,89,85,91,106,102,114,113,107,109,106,102,106,115,119,120,118,117,117,113,107,100,94,93,101,101,106,101,98,107,108,107,113,120,124,125,122,119,117,117,117,109,101,96,97,0
184,184,185,186,186,186,185,185,187,187,187,187,187,187,187,187,189,189,189,189,183,183,184,185,186,186,186,185,187,187,187,187,187,187,187,187,189,189,189,189,181,182,183,185,186,186,187,187,187,187,187,187,187,187,187,187,189,189,189,189,180,181,182,184,186,187,187,187,186,186,186,186,186,186,186,186,188,188,188,188,179,180,182,184,185,186,187,187,186,186,186,186,186,186,186,186,189,189,189,189,180,181,182,184,185,185,185,185,185,185,185,185,185,185,185,185,188,188,188,188,181,182,183,184,184,184,184,184,185,185,185,185,185,185,185,185,188,188,188,188,182,182,183,184,184,184,183,183,185,185,185,185,185,185,185,185,188,188,188,188,184,184,184,184,184,184,184,184,184,184,184,185,185,186,186,186,187,188,188,189,184,184,184,184,184,184,184,184,184,184,184,185,185,186,186,186,190,190,190,191,184,184,184,184,184,184,184,184,185,185,185,185,186,186,186,186,185,186,186,186,185,185,185,185,185,185,185,185,185,186,186,186,186,186,186,186,184,184,184,184,185,185,185,185,185,185,185,185,187,186,186,186,186,186,186,186,188,188,188,188,186,186,186,186,186,186,186,186,187,187,187,187,186,186,186,186,186,185,185,185,186,186,186,186,186,186,186,186,188,188,188,187,187,186,186,186,179,179,179,178,186,186,186,186,186,186,186,186,188,188,188,187,187,186,186,186,180,180,180,179,188,188,188,188,188,188,188,188,187,186,188,190,187,182,182,187,176,181,182,179,188,188,188,188,188,188,188,188,186,185,187,189,186,181,181,186,175,179,180,176,188,188,188,188,188,188,188,188,186,184,185,187,185,180,180,183,174,177,177,172,188,188,188,188,188,188,188,188,185,183,183,185,184,179,178,181,174,177,176,170,0
136,134,146,142,121,125,140,135,126,108,109,106,87,94,117,122,134,148,143,154,133,131,141,139,122,125,133,124,105,85,84,86,79,91,113,118,127,134,125,141,110,110,119,122,114,113,109,93,76,59,57,63,67,84,106,113,111,111,96,111,90,92,99,105,103,97,78,58,51,42,39,45,55,71,92,105,100,95,74,87,92,97,97,97,95,81,55,35,30,31,29,32,40,49,65,84,102,102,82,88,101,106,96,82,78,60,33,22,17,25,24,23,31,32,40,60,106,119,104,103,100,103,82,57,50,34,18,20,19,29,26,26,37,33,30,47,90,118,110,100,95,98,70,38,31,20,15,28,29,38,32,34,50,44,34,46,67,106,101,83,98,83,53,34,26,17,15,29,17,24,35,42,43,40,40,43,43,63,88,100,68,59,39,27,27,21,21,33,33,27,22,23,25,28,34,38,34,55,84,105,42,39,28,24,29,26,25,34,24,19,19,26,31,29,24,23,24,47,78,98,32,35,29,27,33,31,26,31,20,17,23,35,39,34,29,29,33,61,96,113,29,34,30,28,35,34,28,31,36,28,25,29,29,29,39,54,61,93,130,148,35,40,34,28,35,38,34,37,34,32,40,53,54,48,52,66,89,113,143,157,62,65,51,37,40,40,38,41,28,46,85,129,142,125,106,100,129,138,149,154,96,93,72,49,45,44,40,40,43,72,131,197,226,207,178,163,176,172,168,170,124,119,91,58,45,40,38,44,50,136,195,223,225,215,219,213,191,184,173,166,89,96,84,62,52,51,55,67,116,180,212,219,212,203,209,204,202,196,188,183,71,90,93,84,79,78,89,108,162,207,217,213,207,202,209,206,205,200,195,192,82,101,110,106,105,104,116,137,170,207,210,210,211,206,212,205,202,198,195,193,1
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88,93,87,80,92,101,103,108,113,112,100,89,79,67,74,97,109,92,82,88,93,99,94,89,100,104,103,106,110,107,95,89,88,80,80,94,100,88,84,94,103,108,100,93,103,107,106,110,112,106,93,91,102,101,97,102,95,89,91,101,110,112,101,92,101,107,108,114,109,108,97,92,103,107,104,107,93,90,91,95,103,108,101,95,104,107,104,106,98,109,104,94,93,90,82,81,78,75,73,71,89,100,102,101,110,107,94,90,91,116,116,95,80,66,53,50,52,51,48,44,87,98,100,100,105,100,86,81,97,118,112,80,57,44,35,35,29,30,29,29,95,102,97,91,95,92,83,82,99,113,96,53,29,25,29,36,20,22,24,27,101,118,103,91,105,99,80,86,96,109,95,52,26,32,38,31,18,24,30,32,106,114,100,91,103,103,92,94,87,99,92,65,45,41,33,17,30,28,26,26,99,98,94,93,98,102,99,93,80,89,86,66,47,41,41,41,49,43,37,36,88,87,96,101,96,98,99,90,81,92,94,78,51,38,45,58,41,40,39,42,90,90,100,103,92,91,100,101,98,102,105,97,75,55,42,39,43,50,60,68,94,95,93,90,85,85,95,110,122,106,90,86,91,85,65,45,64,74,88,96,88,94,83,80,92,87,86,104,123,102,78,73,90,106,97,78,79,82,87,91,83,94,82,86,110,99,83,98,103,100,90,86,97,110,105,88,101,95,90,88,96,96,85,83,93,95,94,100,99,99,99,98,95,90,89,90,92,81,96,95,96,96,90,89,97,98,95,97,94,94,94,93,92,90,91,93,100,85,96,94,90,91,92,97,104,104,100,97,94,95,95,93,94,97,101,104,111,90,96,91,79,80,91,103,109,111,108,99,95,97,97,93,95,101,107,109,118,93,94,89,1
114,109,108,112,116,115,114,114,140,151,166,179,190,199,203,204,210,212,211,205,84,77,71,73,81,95,109,119,142,169,191,192,191,199,203,200,204,210,212,207,100,96,91,88,92,108,129,142,144,176,197,190,185,198,207,204,203,211,215,209,120,125,123,110,104,114,129,140,168,183,197,199,202,209,206,197,205,209,209,204,131,135,126,105,99,118,142,154,189,175,174,195,215,217,207,200,204,205,203,200,141,135,114,94,105,146,180,190,152,113,93,117,154,181,205,227,202,205,206,205,129,116,92,84,115,163,181,170,87,55,31,36,63,101,150,190,180,194,208,210,117,104,86,90,131,171,160,123,54,50,40,26,19,34,67,95,152,176,199,205,102,83,111,121,170,172,128,91,39,39,43,28,26,36,48,83,128,176,205,200,83,85,108,139,178,179,104,62,50,40,36,25,29,34,39,72,138,184,211,206,74,92,105,157,191,179,79,47,44,28,28,30,40,44,47,80,146,187,209,205,84,98,107,162,197,152,61,48,34,22,31,39,49,51,59,102,158,192,209,204,96,98,112,157,191,106,38,38,42,34,42,42,42,43,63,118,176,203,215,208,99,100,121,159,184,87,37,30,56,51,55,48,49,59,88,145,189,209,214,208,100,117,135,179,190,129,89,65,74,73,82,84,98,117,135,177,192,207,209,204,104,136,146,200,201,187,153,118,96,99,115,127,153,172,169,189,193,206,206,203,112,139,165,187,204,196,175,166,159,169,176,180,183,185,185,183,189,193,199,202,109,138,164,187,207,208,197,195,198,205,207,204,199,195,188,183,187,193,199,204,122,149,170,183,196,197,192,193,197,205,209,206,200,196,190,184,183,188,197,202,138,165,180,181,183,180,173,175,175,184,191,193,193,192,189,184,178,183,191,197,1
170,177,165,151,139,114,102,123,130,113,104,112,128,136,138,139,147,151,153,152,169,182,156,115,106,110,115,127,148,134,127,134,147,156,163,168,164,167,166,162,156,158,134,111,122,137,135,128,162,154,152,157,166,168,168,170,150,157,160,159,136,127,121,129,142,144,143,147,167,165,167,173,177,170,155,142,118,130,141,147,120,119,125,133,131,136,156,176,166,164,164,170,175,168,148,130,103,119,135,144,118,125,138,142,151,176,183,163,143,141,137,138,144,146,138,126,99,116,134,144,126,136,161,176,179,184,161,116,100,104,103,99,98,102,103,100,93,108,123,127,132,149,191,203,160,117,98,82,69,82,87,78,68,67,69,69,94,104,110,106,118,172,145,138,85,54,56,49,65,75,78,71,66,65,59,50,64,84,107,120,135,153,96,85,56,43,48,39,57,68,73,70,66,67,62,54,49,67,99,127,160,146,77,65,54,49,53,47,46,57,64,62,63,66,64,58,45,54,79,111,149,129,74,61,57,43,43,38,39,49,53,50,52,60,62,58,58,53,65,89,151,123,76,55,59,46,41,36,37,45,46,39,40,50,56,54,65,61,69,90,173,137,87,50,62,58,55,49,42,47,44,36,36,45,51,50,62,68,82,98,159,137,105,55,57,49,48,45,45,51,50,41,40,47,51,47,66,80,93,94,136,141,138,82,67,45,44,47,46,54,54,48,45,51,52,48,77,95,101,89,139,130,162,130,63,45,42,47,43,56,50,53,40,43,87,94,100,89,100,92,156,155,188,155,83,52,40,41,51,58,47,53,52,61,102,109,104,92,104,97,168,161,181,161,109,82,63,52,58,62,54,63,74,84,110,116,108,98,112,109,175,154,147,140,123,114,92,67,58,65,67,80,94,97,103,110,111,100,121,125,1
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197,194,199,208,208,199,193,195,204,190,205,205,230,230,172,178,170,137,144,160,192,193,196,196,196,195,189,183,195,192,222,220,227,235,206,222,194,154,149,152,171,203,220,203,180,181,193,202,193,190,222,217,213,229,220,229,215,176,171,171,161,205,227,203,179,186,207,215,204,189,208,207,205,227,220,208,185,161,173,185,178,195,199,188,190,208,211,198,212,196,208,213,211,223,217,197,155,141,166,186,186,190,190,190,198,208,206,197,210,209,217,218,204,192,185,179,152,139,161,175,184,184,192,202,203,198,203,213,209,215,214,215,199,166,153,162,147,133,151,157,188,170,172,198,212,205,202,209,211,215,204,212,211,172,155,168,154,142,161,167,192,159,167,200,199,193,212,228,226,206,212,215,216,204,181,186,167,165,157,147,186,149,159,200,212,206,210,217,203,211,226,217,214,219,200,192,166,160,146,132,199,159,155,192,217,219,215,209,174,195,224,216,206,210,195,192,185,175,157,144,222,186,161,169,192,209,209,200,170,182,216,220,204,187,174,188,204,187,165,151,229,209,172,150,159,178,182,175,183,196,226,224,204,186,173,188,201,177,147,130,217,214,187,158,152,152,149,153,186,209,231,208,193,201,191,188,198,170,138,121,199,200,188,179,165,133,122,146,173,188,202,182,180,203,200,196,205,174,141,128,185,180,177,187,173,118,104,147,164,157,168,168,177,194,197,212,209,175,139,124,161,154,176,203,164,126,136,179,194,188,188,168,191,204,180,219,209,187,159,141,167,163,196,214,184,134,148,188,200,208,204,194,216,217,188,200,205,189,167,154,195,177,206,208,201,133,136,155,179,206,195,198,222,220,204,188,190,180,168,159,223,182,197,187,213,135,121,113,158,199,177,182,203,206,216,187,179,174,166,158,0
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136,167,156,140,191,162,199,188,216,174,147,159,176,175,171,178,166,139,145,110,145,166,153,166,221,191,198,176,205,189,161,147,151,148,150,165,148,135,139,130,170,166,133,161,200,184,186,183,186,182,144,125,148,159,156,170,170,167,152,169,168,168,148,195,207,189,176,186,179,188,158,147,181,186,176,196,197,189,149,173,174,167,151,200,202,197,184,198,177,207,207,207,220,194,177,209,214,200,148,164,190,167,144,175,181,197,190,198,149,173,186,210,231,209,184,199,213,201,170,170,171,163,163,173,168,171,152,138,112,112,116,146,193,210,197,188,197,192,195,172,152,149,150,124,96,94,89,81,99,94,86,96,134,179,195,189,199,199,224,182,151,158,107,71,56,22,26,62,98,77,90,94,80,123,190,203,201,200,196,191,153,126,66,39,35,35,41,30,69,52,64,65,55,109,184,204,197,202,202,194,155,104,49,31,17,20,38,18,41,36,51,53,50,108,178,197,183,193,197,189,161,107,47,33,23,15,29,30,41,35,41,42,51,113,178,193,175,185,189,185,163,137,57,21,33,32,31,35,51,35,29,33,60,128,189,205,182,184,184,179,156,186,117,41,31,32,34,37,44,36,41,67,110,165,205,213,195,187,175,166,158,207,184,118,63,35,44,48,40,39,58,101,148,186,207,214,207,193,172,155,170,189,201,189,123,67,67,60,50,41,51,89,133,167,194,213,217,202,176,155,183,174,169,182,159,152,99,42,43,35,44,73,108,141,177,206,221,213,162,155,198,198,187,182,168,193,160,100,53,57,67,79,95,119,152,177,201,202,164,167,202,192,171,164,158,200,190,149,106,125,133,117,103,112,136,152,162,177,156,172,202,166,137,146,142,174,179,167,152,182,189,155,125,127,142,148,150,175,168,191,1
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180,177,172,170,175,180,175,167,166,171,170,161,154,151,145,137,132,135,132,126,176,175,170,167,166,164,155,145,153,160,162,157,153,152,148,141,138,142,141,136,169,168,164,155,148,140,126,114,124,131,137,138,141,144,146,144,140,145,147,142,158,158,151,139,126,115,101,90,90,96,103,109,115,126,135,142,137,142,142,138,150,149,139,124,109,99,90,83,74,76,81,86,93,105,120,133,134,136,134,127,145,144,135,115,98,88,84,81,75,74,75,78,81,90,106,122,135,135,131,123,141,140,130,109,90,79,75,73,71,71,73,75,75,80,94,110,132,135,134,127,136,136,125,104,83,70,65,63,62,63,67,72,72,74,87,103,126,132,135,133,140,139,137,123,96,70,57,57,58,60,58,64,73,71,73,90,121,125,128,129,142,141,136,123,99,72,59,55,53,55,53,57,66,65,73,94,116,119,122,122,139,135,130,120,101,78,63,57,55,56,51,51,57,58,73,99,116,117,119,119,128,123,119,115,104,85,69,62,61,61,52,48,51,55,74,104,117,118,120,122,120,116,113,113,105,89,75,68,60,59,49,45,50,56,77,109,118,118,117,120,120,118,118,118,111,96,81,75,59,58,49,49,56,63,84,114,117,115,113,112,122,121,125,127,119,105,93,89,75,72,64,64,74,80,95,121,123,120,116,114,120,122,129,133,126,114,105,104,96,92,83,83,91,94,105,126,130,127,122,123,124,125,125,122,119,118,117,118,115,112,107,105,106,112,119,123,127,127,128,128,125,126,126,124,121,121,121,122,122,119,114,110,108,111,114,117,119,120,122,125,125,126,127,125,125,124,125,126,126,124,120,116,113,113,114,115,115,116,119,122,124,125,127,127,126,126,127,129,124,123,122,121,119,119,120,120,119,120,121,123,1
204,225,188,177,148,173,130,110,120,146,124,132,154,143,148,156,151,152,153,155,222,223,182,183,155,162,123,118,132,155,134,129,144,148,158,155,147,147,148,149,223,210,180,199,179,163,123,130,204,206,171,141,135,149,167,155,168,167,167,166,205,201,191,224,216,192,149,153,191,184,167,150,145,161,177,167,177,175,172,169,186,201,210,236,237,222,186,178,159,157,178,196,196,190,175,162,186,182,176,171,172,202,215,221,225,225,202,188,194,192,216,233,232,208,168,159,198,195,189,183,166,200,215,209,212,214,202,189,206,208,217,213,222,209,166,169,193,193,193,192,166,202,221,213,217,214,204,194,209,222,225,204,217,208,157,157,195,199,205,210,159,206,241,234,209,200,205,209,217,211,200,205,214,197,165,150,182,188,195,197,162,201,228,217,201,204,213,213,208,210,210,215,220,198,166,153,175,179,183,186,156,187,200,188,186,207,219,214,206,209,206,205,204,183,161,156,167,167,169,173,155,175,179,168,180,213,225,212,207,197,178,165,164,154,146,152,153,152,154,158,168,180,176,169,188,222,227,210,205,186,153,139,144,144,142,149,163,163,166,171,182,184,179,176,195,221,221,203,208,190,163,158,170,169,157,155,170,171,173,177,185,182,177,182,202,221,218,206,210,202,187,191,203,192,167,156,156,156,154,151,187,181,178,190,211,227,227,219,208,204,198,203,211,192,159,144,164,162,155,147,198,186,192,193,185,198,221,220,201,202,198,185,174,163,153,144,157,148,160,139,184,175,181,181,169,175,189,185,184,187,186,177,171,166,161,155,155,146,160,139,183,179,184,181,168,164,166,160,177,180,178,169,164,161,159,156,150,141,155,135,193,194,196,190,178,169,164,159,188,188,182,166,156,149,146,143,144,136,149,128,0
173,168,160,174,171,153,168,180,177,145,181,190,163,164,158,155,177,176,177,168,175,166,154,171,176,163,171,174,170,151,169,176,167,155,150,184,201,177,164,162,165,163,156,172,174,162,174,177,162,157,156,160,165,142,139,202,221,179,156,159,150,165,167,175,163,150,171,184,180,178,170,165,160,131,126,171,201,173,165,175,155,170,169,170,158,148,168,176,218,213,204,195,167,138,131,130,158,162,181,199,175,176,160,161,163,163,174,166,231,230,220,214,189,164,158,139,142,156,186,204,180,177,156,158,169,180,193,181,218,230,205,204,203,171,164,170,160,154,171,191,170,176,160,161,171,186,210,206,209,232,186,184,201,155,143,182,180,151,153,179,174,183,180,176,186,194,200,210,220,205,185,175,166,147,143,161,158,151,149,155,179,184,176,173,186,197,199,204,210,198,182,176,171,152,146,161,159,156,155,158,184,185,172,169,186,198,198,200,215,203,184,176,171,155,150,165,145,150,160,170,183,183,172,169,184,196,198,203,218,208,190,177,172,163,167,188,163,160,160,163,178,185,178,171,179,190,199,210,208,205,193,184,182,179,188,211,201,180,157,146,178,189,184,173,176,185,197,214,206,204,193,187,189,186,189,204,189,173,160,161,184,194,187,174,175,182,195,213,212,199,177,170,181,187,186,193,174,167,166,176,190,198,189,174,175,182,193,209,208,184,150,145,170,191,197,203,206,191,172,162,198,196,195,184,170,176,187,185,179,172,161,165,171,166,173,198,219,205,186,168,191,192,195,185,167,166,172,169,174,170,162,166,172,167,172,196,210,202,190,180,188,193,201,194,173,167,170,167,174,172,165,167,170,163,167,188,196,192,188,184,185,192,204,201,180,172,177,178,181,179,169,165,164,156,160,180,191,188,185,182,0
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176,182,184,179,178,183,190,193,188,190,195,196,191,188,195,206,205,201,196,193,183,180,176,177,187,195,193,185,196,193,193,196,197,196,199,204,199,198,196,198,178,178,178,183,194,202,196,186,205,197,192,197,204,204,202,201,208,206,204,204,167,179,190,193,195,198,199,199,208,199,194,199,205,205,203,202,214,211,207,204,170,181,192,196,197,201,204,204,205,201,198,200,201,199,199,202,204,203,201,201,189,188,187,190,201,211,207,200,204,202,202,202,198,193,196,202,202,201,200,200,204,199,191,189,198,206,205,198,205,202,201,201,198,193,194,200,203,202,200,200,206,208,204,194,188,193,200,204,207,202,199,199,198,194,194,197,194,193,194,197,189,195,194,185,180,186,196,200,217,202,189,195,202,186,179,192,206,195,191,199,189,188,188,186,181,179,182,186,199,191,196,208,206,190,181,181,198,194,194,199,183,179,178,181,180,174,170,171,188,184,202,214,198,189,186,174,201,206,211,211,173,175,172,168,170,173,169,161,184,175,193,196,172,173,184,170,189,203,212,208,176,187,182,164,162,178,179,166,174,162,175,177,155,161,177,166,190,207,218,216,194,207,201,177,168,182,191,184,168,156,166,175,166,166,172,165,190,203,215,219,193,199,196,180,165,165,180,194,169,157,158,173,177,167,158,156,156,163,176,188,172,169,170,168,150,137,156,188,171,156,147,160,173,156,138,142,132,135,148,166,143,133,124,125,133,140,145,147,155,163,147,139,132,133,152,151,139,162,153,166,143,142,146,154,161,165,163,162,175,182,167,158,149,147,163,161,179,193,173,180,185,193,204,213,216,215,212,210,205,212,198,190,179,172,185,181,192,201,184,199,211,221,230,230,228,227,228,229,222,229,216,212,199,189,199,196,176,188,182,214,0
145,165,139,144,127,119,149,100,109,106,118,149,171,164,142,126,135,130,131,137,141,144,130,142,129,118,140,117,112,112,122,145,165,166,152,139,127,131,141,152,155,137,138,152,144,131,134,137,131,130,132,142,159,170,165,154,129,139,149,154,146,119,133,141,144,142,123,133,147,141,130,129,148,168,169,156,150,157,155,146,136,119,135,136,153,166,132,132,142,129,112,110,135,161,166,156,167,170,163,149,150,145,152,145,166,179,140,130,133,117,101,105,131,160,170,168,159,162,162,156,148,153,149,145,161,163,133,126,136,121,109,116,134,153,167,175,152,153,157,162,144,154,147,151,169,163,149,152,143,129,120,124,131,139,153,168,160,156,158,165,119,135,155,174,178,160,156,174,167,127,118,133,134,139,145,138,143,150,163,174,125,128,140,164,177,158,144,154,150,133,135,141,137,143,148,135,137,138,144,150,128,121,122,147,170,161,146,149,154,148,143,127,115,132,154,156,152,145,139,137,117,121,120,129,152,162,158,158,161,157,145,122,104,116,149,171,166,155,146,144,101,133,142,130,141,161,164,158,153,155,154,148,132,118,131,157,157,148,144,150,97,148,169,151,147,161,163,156,157,159,158,161,154,130,124,146,149,143,141,147,97,140,162,154,150,155,159,162,167,167,154,150,156,143,132,143,155,150,148,152,89,115,130,134,139,142,152,169,162,169,154,144,158,155,135,131,158,155,155,161,94,112,144,114,146,161,156,171,164,166,153,144,151,155,155,157,157,157,161,164,94,120,159,129,145,149,138,150,146,159,160,156,161,164,167,174,173,174,174,177,81,111,157,132,138,147,140,155,150,168,170,160,157,157,166,182,178,176,173,173,73,99,142,123,126,151,154,175,166,178,169,148,139,143,161,185,172,167,163,159,0
139,138,129,123,122,114,114,128,130,128,124,143,135,106,109,116,120,126,133,137,164,160,145,134,130,121,120,133,142,143,137,145,130,101,103,105,134,136,138,140,161,157,141,130,129,120,114,123,142,151,145,147,133,113,116,113,140,136,131,129,132,131,120,115,120,115,108,112,122,135,133,140,141,136,144,134,137,128,119,112,123,121,109,106,119,123,119,121,107,119,115,128,141,147,156,143,134,126,116,109,134,129,114,108,123,131,128,126,106,110,100,111,125,132,144,136,129,126,121,118,135,135,122,119,133,134,116,104,89,89,75,82,88,94,118,123,130,132,133,133,126,133,130,134,145,136,103,79,58,57,42,47,51,58,93,112,138,142,147,147,118,127,128,138,144,107,60,47,52,46,44,42,34,30,46,70,113,141,158,148,115,115,118,135,138,93,46,42,52,43,39,40,37,33,41,54,77,105,125,119,115,107,112,134,130,80,42,46,46,38,34,39,41,37,39,44,57,85,106,105,107,104,111,122,105,66,43,50,40,36,34,41,44,42,44,48,45,68,86,87,99,106,114,105,74,48,41,43,38,39,42,43,41,40,46,54,48,65,79,80,107,116,126,109,71,49,45,38,41,48,53,49,39,37,45,55,58,70,81,82,124,122,138,136,100,72,59,45,45,55,61,56,46,43,49,56,57,68,78,82,132,120,140,157,128,90,70,53,48,58,65,62,56,54,58,61,71,81,93,99,119,116,126,132,147,135,86,65,51,55,76,76,75,75,61,65,64,104,120,108,115,115,126,131,146,141,105,96,69,70,84,79,75,78,71,79,86,120,130,115,109,114,127,127,139,141,121,126,105,99,106,93,87,93,92,105,101,126,128,110,106,114,129,124,128,130,121,136,131,123,124,107,97,105,108,124,106,123,117,98,1
147,141,136,136,136,133,123,115,112,120,123,121,119,123,128,130,124,128,134,139,133,134,135,134,130,124,117,114,113,121,127,122,119,124,133,140,124,128,134,140,122,128,132,128,118,109,104,105,108,119,128,123,118,122,136,145,130,132,136,140,124,126,126,117,105,94,89,89,97,113,125,123,117,119,131,142,140,140,140,140,131,123,113,103,94,86,80,76,86,104,120,123,120,122,129,134,147,146,144,142,130,118,102,91,86,82,75,68,78,93,110,119,125,128,129,128,138,137,135,134,127,115,98,87,81,76,66,59,69,80,94,108,124,133,131,125,129,129,128,128,126,115,101,87,78,68,58,50,63,70,81,98,120,134,132,124,133,133,132,131,123,115,101,85,69,58,51,48,53,63,74,85,106,126,131,125,120,131,140,138,115,109,98,80,64,51,45,44,46,56,66,78,98,119,124,118,114,126,137,138,111,107,94,76,56,43,39,39,38,47,56,68,90,113,121,116,112,124,133,134,116,110,96,74,50,36,35,38,35,43,50,62,85,111,123,122,120,127,131,128,124,115,98,72,47,33,34,38,36,41,45,56,81,111,128,129,127,131,130,123,127,118,100,74,51,37,35,38,37,42,46,56,80,111,127,128,128,130,128,121,126,119,103,83,64,50,42,41,41,47,53,63,85,112,123,121,124,127,127,123,127,120,108,93,76,62,50,45,45,52,61,72,92,114,122,117,120,125,127,124,124,123,118,109,95,80,68,61,60,67,79,92,103,114,120,121,130,125,122,122,128,127,123,116,106,95,86,81,78,83,93,102,110,118,123,125,127,124,123,126,123,123,122,120,118,114,111,109,102,104,109,114,118,122,127,131,129,127,131,136,111,111,113,117,122,126,129,129,118,116,119,122,121,122,128,135,129,130,136,144,1
191,193,195,195,191,186,187,191,192,201,207,207,208,209,208,205,213,201,187,181,187,190,194,195,192,188,189,191,195,203,209,209,209,211,209,207,211,202,192,189,181,187,193,195,193,191,190,191,198,206,211,211,211,213,211,209,212,206,200,199,176,185,193,194,193,193,192,190,201,208,212,211,211,212,211,209,210,204,198,196,173,184,193,193,192,193,192,188,201,208,212,210,209,211,209,208,207,200,192,187,173,185,193,191,190,193,191,186,202,209,211,209,207,209,208,206,211,203,195,189,175,188,194,190,187,191,190,183,204,210,212,209,207,209,208,206,213,208,203,198,176,189,195,189,186,190,189,182,205,211,213,209,207,209,208,207,206,205,203,202,174,190,196,193,189,179,178,191,198,205,210,211,207,205,207,212,205,203,201,198,166,176,182,188,192,182,178,190,199,204,208,209,207,206,207,210,205,203,201,199,167,168,170,185,198,188,179,188,199,201,204,206,207,207,206,207,209,207,205,201,183,173,167,184,202,194,182,188,198,199,200,203,206,207,205,204,213,212,209,207,193,178,166,180,200,197,187,190,196,198,199,202,206,207,205,204,209,209,210,209,187,178,165,171,193,198,191,192,195,197,200,203,205,206,205,206,205,206,205,206,176,177,167,167,186,196,191,188,193,198,203,205,204,204,205,209,203,203,204,204,171,179,172,167,183,195,189,182,191,198,205,206,203,203,205,211,203,204,204,204,210,207,198,179,168,185,197,186,189,194,200,205,207,208,209,209,202,203,204,205,227,222,218,203,190,195,199,188,192,196,201,206,208,208,209,209,202,202,203,204,217,212,217,218,208,205,205,197,196,200,203,206,208,209,208,207,201,201,201,202,201,194,206,219,213,207,205,201,201,203,204,207,209,209,207,206,200,200,200,200,0
146,137,142,115,155,203,196,119,113,139,152,159,157,151,169,186,150,184,188,175,169,166,173,163,143,162,176,171,135,143,158,164,154,158,176,172,153,176,183,176,174,169,171,194,157,163,171,188,161,149,159,163,150,159,168,156,153,159,173,180,162,148,146,178,168,177,190,189,178,159,153,152,157,158,151,161,171,158,171,189,175,148,145,164,164,150,197,208,177,164,149,143,169,164,142,186,204,171,169,185,209,163,156,186,186,133,176,189,164,157,150,136,169,176,151,192,210,174,153,158,216,178,158,204,196,147,162,153,165,155,169,147,159,198,178,173,190,171,151,150,196,190,159,196,168,154,169,152,182,164,198,167,155,219,208,154,178,180,170,173,184,132,168,205,171,178,205,171,193,175,183,212,174,189,187,151,165,198,193,164,149,141,157,176,188,205,203,172,174,189,195,194,159,145,154,154,166,174,163,143,142,181,168,154,194,208,170,142,175,195,189,195,195,164,164,174,172,159,161,171,125,183,174,149,181,193,158,141,164,172,163,212,213,174,164,177,175,143,149,179,131,171,183,166,162,167,162,156,145,152,159,236,192,143,159,194,190,145,133,152,160,167,190,186,158,163,183,177,132,132,137,218,185,143,187,226,181,149,134,141,162,148,165,176,164,183,206,193,136,128,107,151,194,152,196,204,151,147,138,134,176,151,147,152,157,176,183,158,171,170,129,122,211,148,180,165,160,169,149,128,134,178,157,154,171,179,185,141,183,180,164,156,166,171,170,174,161,163,175,166,139,167,155,148,167,184,184,156,173,181,183,183,184,179,171,172,147,151,167,162,151,156,156,146,166,192,183,179,175,188,200,198,184,167,156,156,138,142,160,155,162,150,163,150,172,201,181,195,183,189,199,195,171,152,149,149,141,143,159,151,0
135,133,124,121,125,119,117,126,135,143,137,129,141,151,147,143,137,137,136,134,130,134,128,122,125,121,117,123,134,140,130,122,136,147,144,139,142,140,136,133,134,146,140,128,126,126,120,122,134,139,128,121,135,145,141,139,139,134,130,129,138,154,147,128,124,125,119,117,128,135,130,124,132,137,135,137,138,133,127,126,133,149,142,124,121,122,117,113,113,127,127,123,126,126,126,133,141,134,127,125,128,140,136,126,129,126,116,113,101,115,119,118,123,122,124,137,128,125,122,124,122,130,130,130,136,125,106,99,90,96,96,100,114,120,124,135,119,121,122,126,115,119,121,128,133,113,86,78,76,75,70,78,100,111,117,127,128,130,133,132,108,114,113,119,125,107,74,55,64,57,56,64,77,92,108,120,129,132,133,131,105,107,108,116,121,97,65,50,48,47,46,51,58,73,96,115,121,125,130,132,103,104,105,116,115,85,50,44,41,43,45,46,49,64,94,122,118,121,127,132,106,104,105,117,112,74,41,39,41,42,43,45,50,69,102,131,119,120,123,132,108,105,104,113,107,68,35,33,36,34,34,41,53,74,105,131,122,119,120,128,106,103,100,106,101,70,36,30,36,33,34,44,59,81,106,127,123,117,116,126,103,104,98,100,100,78,47,35,40,40,45,57,70,88,110,127,129,119,116,125,103,105,98,98,102,88,59,43,42,46,54,66,76,89,110,127,135,123,118,126,96,110,107,100,106,103,81,64,63,64,67,70,77,91,108,119,135,129,124,125,103,116,113,106,116,116,99,84,77,78,80,82,87,98,112,121,133,128,123,122,110,122,117,110,123,129,118,107,97,96,97,98,100,107,117,122,132,128,124,120,112,122,115,108,122,133,127,119,109,108,108,108,110,114,120,124,132,130,125,119,1
187,173,166,171,175,176,187,202,172,158,174,72,45,36,53,74,105,155,178,104,194,186,188,196,194,191,203,220,226,166,154,72,63,55,50,40,72,124,170,128,174,175,184,184,170,171,190,203,229,147,130,71,53,45,53,48,51,97,170,176,162,179,194,180,161,179,208,208,197,111,97,60,34,30,62,71,39,66,140,181,161,191,219,200,180,213,239,217,173,83,59,50,43,45,61,51,53,56,107,162,169,193,224,210,185,207,215,173,125,65,49,57,58,58,55,32,72,67,96,161,178,173,195,193,160,159,154,109,80,69,66,73,66,61,61,47,66,69,89,162,160,129,140,149,118,105,99,66,80,89,82,81,76,76,73,59,68,81,97,171,145,119,102,103,100,89,89,99,121,110,101,97,89,78,73,73,86,106,84,157,146,117,94,93,99,105,115,128,127,126,123,118,101,83,80,86,78,96,74,139,154,143,129,120,112,107,107,113,94,87,87,91,86,78,81,89,75,96,83,138,163,171,173,158,132,113,107,109,90,66,54,66,83,87,89,92,69,96,99,142,165,172,177,172,160,151,148,147,125,96,79,87,96,89,78,76,75,102,111,134,169,163,166,182,195,191,173,158,149,134,130,135,125,97,76,74,115,135,143,140,163,152,157,184,202,194,173,161,161,153,160,176,170,140,118,115,154,173,183,165,149,136,141,164,178,177,183,197,157,141,146,175,187,170,147,138,165,187,204,181,146,144,155,170,173,174,199,234,192,149,144,174,186,182,163,135,150,155,171,175,150,149,155,162,162,164,184,208,188,159,159,177,179,174,160,137,136,135,145,149,158,159,159,154,152,157,169,179,196,176,162,152,143,151,159,155,152,151,163,174,167,172,167,154,151,161,167,164,166,175,179,167,155,153,147,133,148,154,179,201,1
171,178,156,154,188,191,166,163,154,157,186,194,173,175,182,161,158,162,165,160,206,197,166,160,176,152,115,110,98,102,140,177,181,180,176,162,168,173,179,181,208,201,189,199,207,162,104,89,80,83,114,165,193,190,176,173,171,168,164,164,200,205,209,225,231,192,134,107,82,83,94,132,170,179,173,178,180,163,142,129,207,216,216,211,210,193,155,125,86,88,89,106,146,175,186,192,187,168,144,128,191,207,216,209,204,200,177,148,99,95,94,104,134,171,189,187,170,164,155,151,174,189,210,216,208,201,188,167,117,91,88,103,119,148,167,159,159,166,174,179,187,188,201,206,189,175,173,168,144,97,92,117,128,148,169,162,179,190,202,207,184,181,181,191,198,190,170,153,143,123,104,118,152,172,184,203,209,208,207,206,178,182,177,181,197,196,176,163,158,142,126,141,175,194,201,211,205,204,203,202,177,186,176,174,192,189,173,171,164,151,137,151,189,211,214,216,209,208,207,206,181,188,179,178,184,165,154,175,165,154,137,145,187,215,218,217,213,213,212,211,181,181,183,190,174,135,135,179,177,166,142,140,177,215,223,219,207,207,207,207,175,170,185,194,157,115,134,183,187,180,150,136,169,210,222,216,204,205,206,205,169,165,189,189,136,112,147,180,183,182,155,136,166,209,221,213,204,205,206,208,169,166,192,181,121,116,159,175,175,180,158,140,169,213,225,215,201,203,205,206,180,183,191,158,109,128,178,192,189,183,162,160,163,213,220,204,206,207,205,199,201,196,179,138,115,151,199,211,203,186,154,147,143,190,208,205,205,206,204,198,219,210,165,118,128,179,211,215,204,181,146,140,129,168,191,203,206,207,206,200,220,217,158,109,142,195,203,196,190,168,144,148,133,158,179,197,209,211,210,205,0
163,164,155,142,154,183,195,189,187,183,189,188,169,156,148,139,153,170,151,120,143,153,148,129,124,149,176,187,172,174,190,197,183,164,144,125,108,139,153,158,127,118,99,86,98,125,141,140,145,153,176,188,181,173,166,152,168,180,185,189,124,119,115,118,130,134,116,93,81,95,124,146,152,157,158,146,195,192,180,172,116,148,179,178,146,104,74,60,39,46,75,113,145,161,149,119,152,166,175,170,148,169,182,156,100,50,36,42,44,31,41,82,136,179,176,142,117,140,167,169,192,170,138,100,64,38,36,45,47,34,34,58,104,162,191,184,112,102,119,139,178,144,102,73,53,37,34,39,52,60,73,81,98,145,193,210,169,114,105,138,121,93,88,70,49,48,48,61,64,82,74,78,116,141,166,206,189,138,108,115,92,69,73,67,58,62,63,74,96,115,102,90,108,124,151,197,206,169,127,109,92,68,70,67,58,59,52,55,82,112,118,112,112,109,121,155,202,196,155,117,106,76,72,63,52,50,37,38,41,70,91,99,103,94,92,108,149,176,154,117,122,88,79,68,59,61,53,56,40,46,50,57,68,75,78,84,90,138,140,115,164,128,115,97,81,78,68,71,56,45,38,43,55,67,69,65,83,133,159,158,189,155,140,119,92,79,63,62,55,46,46,55,62,69,68,57,86,125,170,194,168,137,131,114,90,75,57,56,48,42,46,56,59,70,76,71,66,93,145,183,138,136,130,127,112,76,52,58,60,50,49,63,75,75,71,71,67,86,119,146,132,140,139,137,129,104,83,85,96,81,69,72,75,71,65,64,59,69,88,103,127,144,148,146,145,132,114,108,142,120,99,92,89,83,79,79,89,89,92,93,119,145,152,146,148,144,125,112,161,139,116,108,106,101,98,101,109,103,97,92,1
90,111,125,124,127,135,132,120,147,154,149,134,127,128,119,105,80,66,50,43,116,120,124,122,121,127,136,143,144,141,134,134,146,152,133,105,95,82,66,59,122,124,133,139,134,125,130,142,127,141,148,143,135,131,126,118,110,100,86,78,118,128,138,141,133,124,124,131,137,154,161,144,118,107,117,131,118,110,101,95,133,138,133,116,111,123,136,138,156,140,120,111,111,117,124,129,122,119,116,114,147,149,134,113,113,132,141,134,114,84,57,60,80,101,113,119,128,131,134,135,146,139,129,119,121,120,107,89,52,37,28,36,49,65,89,112,135,141,150,155,144,124,107,106,105,88,62,45,38,29,29,40,50,58,80,104,137,146,158,162,130,104,90,100,94,64,39,34,30,29,30,31,34,48,79,107,142,152,160,159,113,95,85,87,77,54,37,37,26,29,35,38,39,53,86,115,144,154,161,161,108,104,93,78,57,37,29,28,24,32,41,45,46,62,95,125,152,161,168,167,109,114,107,79,48,32,27,26,30,36,42,49,57,79,109,133,160,167,172,171,101,113,110,81,53,42,38,35,38,40,46,58,78,105,130,146,159,164,166,164,108,117,111,87,65,56,50,42,50,55,64,81,108,137,154,160,154,156,154,149,127,126,116,99,85,79,70,61,70,81,97,116,140,161,170,169,152,151,146,139,136,130,117,109,105,105,98,90,87,106,128,144,161,173,175,170,154,152,145,137,138,124,117,124,127,119,113,115,127,137,147,153,159,164,162,158,143,137,129,121,144,134,130,136,138,129,125,127,130,139,147,151,154,157,154,148,133,125,113,103,137,132,133,139,138,130,126,129,130,138,144,145,145,145,140,133,117,107,92,80,123,124,129,134,131,123,120,124,126,133,138,137,136,134,128,120,105,93,78,65,1
96,96,98,100,100,99,97,95,92,91,91,91,92,93,93,93,90,90,90,90,104,105,105,106,105,103,100,97,95,92,91,90,90,92,94,94,91,91,91,90,110,111,112,112,110,108,105,102,98,95,91,88,88,90,93,95,91,91,91,91,108,109,112,113,113,111,110,108,100,97,92,87,86,87,91,93,91,91,91,91,101,104,107,111,112,113,112,111,103,99,94,90,87,87,89,90,90,90,90,91,101,104,107,111,112,113,112,112,104,103,100,97,94,91,89,88,88,88,89,90,111,112,114,116,114,113,111,109,107,108,108,107,103,98,93,89,86,87,87,88,122,122,122,121,117,113,109,107,111,112,114,113,109,102,95,90,85,86,86,87,121,121,122,121,117,113,109,105,108,109,109,107,103,98,92,89,87,89,91,94,118,119,120,119,116,111,104,101,101,102,102,101,99,96,93,91,91,93,95,98,116,117,118,118,114,109,105,101,100,100,99,97,95,93,91,90,94,96,98,99,115,115,114,113,112,111,110,109,110,108,103,99,94,91,90,89,94,95,96,98,112,110,107,106,107,110,113,116,117,114,109,103,98,95,93,93,96,96,97,97,105,102,99,98,100,104,109,113,114,112,109,106,104,102,102,102,100,100,100,100,101,100,99,98,99,102,104,106,107,107,106,105,105,105,105,105,103,103,102,102,101,101,102,102,102,102,102,101,103,103,103,103,103,103,103,103,103,103,102,101,100,101,104,105,105,106,105,104,102,100,98,97,99,101,101,101,98,99,102,104,102,103,106,108,108,109,109,108,103,100,98,96,98,100,99,99,99,101,103,105,104,105,108,110,112,114,115,115,108,105,101,98,99,100,99,99,101,102,105,107,105,106,109,111,114,117,118,119,115,112,107,103,102,103,102,101,103,104,106,109,0
149,130,153,141,119,134,143,160,161,150,139,132,128,131,140,151,141,147,154,156,135,133,151,138,112,123,147,165,191,183,171,155,140,129,128,133,148,148,150,152,130,141,142,136,122,133,168,176,170,167,165,161,152,144,144,147,152,148,146,148,142,154,136,135,133,142,179,174,164,160,157,158,155,146,140,138,145,144,144,146,138,159,139,134,130,132,166,171,177,167,159,159,159,152,139,131,134,139,144,146,115,142,143,136,128,126,158,190,177,166,157,159,162,157,146,139,128,134,142,144,114,128,141,135,135,135,148,195,185,176,169,164,157,146,133,128,132,134,138,140,139,130,136,130,140,140,126,167,173,171,171,168,159,146,140,140,139,136,134,137,212,217,192,162,151,138,132,145,147,164,177,164,144,155,175,177,186,174,156,140,223,231,214,173,150,148,152,153,157,164,174,171,162,172,184,180,189,187,180,170,214,224,222,183,144,153,173,162,167,160,162,165,160,161,160,149,170,179,185,182,205,208,224,198,146,151,176,163,185,168,164,169,163,159,151,139,169,176,179,176,213,205,231,222,163,152,174,164,161,146,147,151,148,146,144,137,174,170,162,150,209,199,225,227,175,159,178,172,174,168,171,174,169,172,175,167,171,169,160,150,207,200,216,208,168,161,177,169,164,165,170,169,164,170,170,156,163,173,184,188,221,219,219,193,155,155,167,153,148,155,163,162,160,170,169,148,136,159,185,198,207,225,215,181,161,154,152,154,138,146,144,148,167,173,154,136,149,158,146,156,216,219,197,171,169,168,152,137,152,156,150,150,167,172,155,139,157,161,142,145,211,197,168,162,188,199,172,140,159,160,151,149,166,171,157,146,174,175,148,142,203,182,154,162,205,224,193,154,153,153,145,147,166,172,160,151,183,185,156,146,0
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81,132,143,120,119,122,111,101,91,72,64,66,56,53,94,147,151,143,135,131,76,117,134,122,122,132,125,109,96,83,77,76,67,69,103,146,151,145,138,134,54,79,109,121,122,131,130,115,117,107,98,89,83,88,111,136,117,121,126,129,42,51,92,127,119,109,110,104,119,120,118,116,116,117,116,112,100,114,133,145,48,49,93,133,113,81,81,88,95,106,119,132,145,148,131,110,103,117,136,149,52,62,94,115,95,66,66,80,83,86,89,99,119,141,148,144,113,121,130,133,75,101,104,85,69,62,60,65,73,71,66,63,73,98,126,144,133,138,144,148,116,151,129,68,51,60,54,44,50,59,66,64,58,63,80,99,132,141,153,164,136,155,115,59,55,58,45,44,43,49,63,75,76,70,70,76,107,137,152,152,115,133,99,54,55,59,49,49,55,53,57,67,73,72,71,73,81,110,133,143,118,129,97,56,53,54,43,41,60,54,52,61,72,78,80,81,60,82,114,139,137,137,103,63,53,47,39,38,55,56,57,59,63,67,74,79,63,68,99,134,137,129,100,67,50,42,41,43,49,60,67,61,49,46,56,66,75,64,88,125,133,122,104,82,56,41,39,44,43,60,72,64,50,48,58,68,77,62,89,131,136,129,128,115,83,56,50,51,50,61,67,63,58,60,63,65,63,58,100,146,135,135,149,148,114,83,73,71,66,66,60,55,54,56,49,39,52,55,107,151,151,155,161,156,133,115,92,66,56,61,63,61,56,51,51,53,52,79,107,118,153,153,158,152,134,124,112,92,83,85,85,83,77,73,70,69,86,104,121,124,140,136,140,140,134,139,144,137,124,122,119,116,113,107,101,97,106,116,123,125,129,123,125,128,129,143,159,159,148,143,138,136,134,129,121,114,108,113,118,122,1
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155,127,143,160,165,128,130,135,124,130,119,101,95,91,86,88,109,125,118,112,150,135,147,155,161,122,114,117,119,113,96,88,98,103,101,106,110,127,127,135,150,142,133,120,135,111,109,124,132,113,90,93,112,114,107,111,98,111,119,143,148,150,133,110,137,123,124,140,151,127,106,115,132,122,107,112,101,108,113,142,138,154,153,139,166,141,119,114,128,111,98,110,124,115,113,130,150,149,142,161,131,136,136,124,143,113,82,61,67,60,56,67,85,91,111,145,191,188,172,176,122,99,86,70,84,67,55,36,34,37,38,43,54,66,94,132,171,174,157,154,111,72,55,44,59,53,57,38,46,56,55,53,54,58,80,111,123,133,122,118,105,53,47,44,42,45,34,49,44,66,58,45,54,50,53,84,109,120,95,117,87,50,45,37,35,47,40,42,50,63,59,52,57,53,54,72,125,133,108,126,76,60,62,56,57,70,61,50,52,56,55,53,50,49,52,57,114,126,119,139,59,51,60,68,69,73,61,44,44,42,46,44,37,43,55,58,93,115,134,154,60,47,49,69,72,64,59,48,34,31,36,37,35,50,73,83,97,121,153,157,79,57,42,60,65,58,64,53,36,37,38,42,55,75,97,114,112,128,161,147,82,65,39,48,54,54,63,40,54,58,51,57,87,104,109,124,119,126,158,134,93,87,60,62,68,74,79,39,72,79,64,69,111,120,109,117,123,124,156,130,110,107,80,72,76,71,69,68,65,104,99,98,115,119,113,95,130,145,152,141,101,101,85,84,96,95,94,95,90,120,122,124,131,133,125,94,122,142,157,154,100,101,99,105,125,134,132,135,143,144,130,123,120,140,156,123,111,135,157,165,102,101,107,116,142,159,154,162,177,151,125,111,102,141,180,146,104,128,153,163,1
146,142,145,139,117,97,81,63,73,67,71,89,108,114,115,115,125,116,103,91,147,143,145,134,105,80,64,46,61,59,67,90,109,117,116,114,120,111,98,86,142,141,142,126,88,60,45,31,44,45,56,83,106,116,115,112,114,104,90,79,135,136,137,117,75,47,36,27,29,32,44,70,97,112,115,112,109,100,86,75,134,133,133,109,66,37,31,27,25,27,36,57,86,108,118,116,108,97,83,73,139,135,131,103,57,30,26,24,29,29,33,49,78,105,119,120,106,94,79,68,140,134,124,96,51,27,24,23,30,30,31,42,71,100,115,117,102,89,73,63,138,129,119,89,47,25,26,25,29,27,28,38,64,95,110,111,100,86,68,59,134,136,116,73,37,25,25,24,25,24,26,39,66,95,110,113,97,85,70,59,132,133,110,64,26,16,20,22,29,26,30,48,79,105,113,108,94,83,70,59,127,126,100,52,17,12,20,24,28,29,40,65,97,118,115,103,93,83,72,62,125,118,89,43,15,15,23,25,25,33,53,81,109,124,116,101,95,86,75,67,122,115,86,45,22,21,25,22,26,41,65,91,113,121,112,99,93,85,75,68,115,114,95,60,36,32,32,28,38,53,76,95,110,114,105,94,87,80,71,66,99,116,114,86,58,50,53,54,59,69,81,94,105,108,97,85,82,76,69,65,85,114,129,107,76,68,75,82,76,78,83,91,103,105,93,77,80,76,70,68,67,92,141,107,90,77,82,71,76,80,92,106,108,97,86,82,76,70,67,69,69,86,133,110,93,79,82,75,78,82,91,103,105,96,89,86,78,72,70,72,74,77,122,116,97,82,83,80,83,85,90,95,95,88,84,83,79,74,73,76,78,67,111,123,100,85,84,85,88,89,89,87,82,76,74,73,79,75,75,79,1
65,62,67,67,51,54,87,113,146,157,166,159,135,117,122,136,136,145,137,124,62,60,59,58,48,47,77,115,173,185,192,179,146,122,123,137,124,136,132,120,59,60,49,46,45,39,66,120,179,185,189,179,153,128,118,120,115,128,124,110,58,61,44,40,48,40,65,128,163,158,157,158,152,133,114,102,109,121,116,105,58,61,45,43,57,54,77,136,159,148,138,135,130,122,115,111,105,117,115,109,58,59,49,51,67,75,99,141,159,146,129,108,91,88,102,118,106,121,120,115,55,53,52,59,74,94,120,141,146,126,98,74,60,58,73,89,102,121,122,113,50,48,53,64,77,105,132,139,129,98,65,50,50,54,52,52,88,113,121,110,50,60,47,71,108,113,128,143,106,90,65,44,37,43,51,56,56,105,107,99,51,64,63,91,120,110,110,116,96,75,50,37,41,50,54,52,56,111,118,110,46,55,58,89,109,92,90,93,76,55,35,30,43,54,55,51,69,129,137,124,51,58,64,94,101,77,70,67,52,39,30,31,39,47,53,57,94,145,140,118,74,81,89,109,99,67,56,41,34,35,37,37,34,35,50,67,120,152,127,95,90,90,83,83,64,48,55,41,30,36,45,43,32,29,51,76,144,153,111,78,84,82,69,54,31,32,54,38,37,38,43,44,37,36,56,82,152,145,94,72,73,83,82,69,41,37,46,15,46,39,38,43,43,45,61,82,145,128,76,66,84,74,77,74,50,31,30,33,47,44,43,42,42,48,66,86,141,130,79,68,77,66,70,70,52,38,37,38,42,43,46,50,51,57,73,90,125,124,87,81,73,61,63,65,53,43,41,39,42,46,56,61,63,65,75,87,93,104,86,81,77,63,60,63,53,45,40,32,45,54,67,72,70,67,70,76,68,86,82,72,1
199,196,192,195,198,194,184,175,169,170,173,173,170,162,150,142,131,132,133,134,200,198,196,195,191,182,171,161,157,158,162,163,162,156,146,140,132,132,132,133,193,193,191,186,178,164,153,146,142,144,147,150,150,147,140,135,131,131,131,131,182,183,180,170,158,146,139,135,133,134,135,136,138,137,133,130,128,128,127,127,180,179,172,161,146,137,133,133,131,130,129,129,129,129,127,124,125,124,124,123,185,182,174,163,150,140,136,137,132,130,126,124,123,123,123,122,123,123,122,122,184,182,177,169,160,152,148,146,134,130,124,121,121,122,123,123,122,122,123,123,177,177,176,174,170,163,157,153,134,129,123,119,119,122,124,125,123,123,123,123,168,169,170,174,173,167,156,148,142,131,120,115,116,120,127,131,128,128,128,128,165,167,170,173,173,168,157,150,141,131,122,117,118,122,127,130,131,131,132,132,162,164,166,168,166,160,150,145,137,132,127,124,126,130,135,136,132,132,133,134,158,158,159,157,151,142,135,129,131,132,133,132,137,145,149,149,137,138,138,139,155,154,150,142,134,125,118,115,125,133,140,142,148,159,163,161,147,147,148,148,149,147,141,133,125,119,118,118,130,141,153,156,162,171,173,170,152,152,152,151,141,140,136,130,127,128,134,141,147,162,174,175,178,184,182,175,157,157,158,158,136,135,133,132,133,140,152,161,165,181,192,190,190,193,189,179,167,167,169,170,142,144,143,145,154,169,179,182,193,194,194,194,191,188,183,182,179,181,183,185,149,154,159,164,174,186,193,194,196,196,196,194,191,186,180,178,182,183,187,188,160,169,179,186,194,203,204,201,200,199,198,195,190,184,178,174,185,187,190,191,170,179,191,196,200,205,203,199,200,199,198,194,188,182,176,173,186,189,192,193,0
167,163,167,180,185,175,165,161,142,144,176,170,169,157,165,139,126,114,93,76,189,175,169,176,184,178,164,153,148,146,160,173,164,172,172,157,127,117,107,103,180,176,178,184,186,175,157,142,141,143,149,183,177,195,181,174,158,144,137,143,165,175,184,188,180,167,158,154,139,138,143,175,185,202,196,196,200,177,162,167,174,175,181,183,175,161,154,157,147,140,145,155,190,200,213,216,205,182,166,169,169,165,175,191,182,144,112,101,122,126,144,155,211,215,219,207,184,171,164,168,156,157,179,198,169,101,55,46,62,83,99,132,198,226,207,185,173,170,168,167,162,167,187,193,137,57,26,45,18,38,33,79,148,212,193,177,175,176,171,161,173,166,154,173,114,34,45,39,30,29,27,26,68,158,206,184,174,171,168,169,174,164,156,177,120,39,44,39,27,34,39,29,46,122,187,192,182,182,184,187,183,170,161,179,126,41,30,29,24,34,45,37,40,101,169,189,168,171,176,180,177,165,157,173,130,50,28,28,29,29,41,48,57,109,165,180,173,177,181,180,149,141,138,153,129,67,41,44,38,31,42,53,68,115,165,178,184,186,186,183,126,124,121,127,118,78,48,52,47,41,50,57,63,110,164,182,178,178,178,176,111,113,109,102,104,82,50,52,53,46,52,57,69,118,167,176,184,184,185,187,93,101,97,86,96,88,59,60,56,44,48,60,84,136,171,163,188,188,190,195,101,98,94,94,93,90,82,75,57,48,40,54,100,152,174,173,191,194,196,197,89,86,87,90,92,97,113,130,76,70,66,81,123,172,196,196,189,191,196,200,79,76,81,88,83,82,114,153,123,119,114,123,153,189,210,211,195,195,195,195,71,67,78,90,77,63,93,141,153,150,145,148,167,192,208,211,204,200,195,191,1
107,97,90,77,88,102,93,103,106,99,101,103,104,121,144,152,162,157,156,161,90,90,103,96,89,91,83,90,94,95,109,117,115,124,140,145,146,147,148,148,77,71,98,103,91,97,94,90,79,78,93,110,119,129,135,128,129,130,129,126,108,79,99,109,103,118,115,100,85,68,67,85,107,129,134,120,122,111,104,108,161,124,132,134,121,128,121,104,102,81,71,76,90,114,131,128,124,99,90,107,167,146,161,158,137,129,115,111,112,105,104,99,89,98,117,124,117,98,98,120,143,135,152,158,154,145,125,129,117,123,138,141,123,110,108,100,93,102,117,131,137,126,135,150,171,169,142,144,127,134,160,177,167,143,111,78,71,104,131,132,145,156,150,155,158,160,176,172,149,156,163,149,153,155,131,127,93,101,130,127,156,167,157,155,153,155,178,182,178,164,158,148,148,152,151,175,142,112,119,130,161,171,158,152,146,152,180,189,187,161,162,165,161,150,147,178,164,123,115,116,159,169,157,156,155,161,188,193,179,151,160,174,171,156,136,143,142,131,136,117,159,169,162,170,176,180,196,190,177,145,149,156,162,172,157,143,125,129,153,148,150,162,162,175,185,185,192,179,166,139,146,149,161,193,190,168,140,123,147,168,133,150,156,171,181,180,188,176,164,140,151,150,149,182,196,186,168,141,152,164,122,144,153,170,178,179,191,186,182,151,155,140,120,151,184,196,187,175,179,162,102,120,150,165,164,173,186,185,178,171,169,162,133,142,187,185,193,188,180,171,87,97,122,140,153,177,197,198,188,185,186,184,151,155,194,188,198,196,191,187,84,82,90,102,117,147,171,171,176,178,188,191,158,158,190,180,184,183,182,184,91,81,77,75,81,107,130,132,150,157,175,183,152,151,184,172,168,165,165,170,0
164,131,144,147,148,170,166,163,220,216,217,211,200,201,203,193,199,168,155,159,164,124,129,138,156,192,198,201,218,217,221,218,207,210,214,208,191,172,166,169,154,129,135,147,170,205,214,216,210,209,213,210,202,209,218,216,188,176,178,187,140,142,148,149,173,210,223,217,217,214,215,212,204,209,216,210,204,180,178,195,132,148,141,142,180,224,231,206,211,212,218,220,216,219,220,208,224,181,168,189,129,149,140,156,199,217,193,146,145,154,175,189,193,207,221,219,226,180,165,185,132,154,148,172,187,152,113,79,75,88,108,118,124,157,203,227,220,194,185,190,145,161,149,161,142,75,57,66,61,68,76,67,63,107,181,227,222,215,210,199,158,112,144,138,83,59,49,58,59,60,68,58,58,62,108,225,222,208,194,190,132,91,123,114,65,51,48,62,57,59,61,45,49,59,91,177,220,215,209,207,141,93,103,86,49,47,41,47,49,54,50,36,45,63,88,146,199,205,211,214,174,109,90,61,40,51,36,33,43,48,44,40,49,70,109,162,171,182,195,203,182,116,88,52,35,49,37,41,46,48,44,48,52,69,131,196,166,175,189,201,182,131,112,76,50,49,37,59,56,56,48,54,51,69,147,212,184,190,201,212,189,143,133,110,87,70,41,60,60,64,52,56,57,87,169,213,196,202,209,215,188,137,129,124,119,98,49,55,58,68,54,58,67,112,192,215,196,201,207,208,178,128,113,146,162,138,99,66,60,65,68,63,83,147,210,233,207,199,195,203,196,111,99,175,223,216,179,139,110,86,70,83,132,195,226,220,218,209,202,206,193,105,123,219,246,235,227,209,203,165,127,118,141,176,203,212,209,199,191,188,182,108,155,240,229,209,228,226,228,218,201,185,166,148,151,170,211,204,196,193,1
65,62,67,67,51,54,87,113,146,157,166,159,135,117,122,136,136,145,137,124,62,60,59,58,48,47,77,115,173,185,192,179,146,122,123,137,124,136,132,120,59,60,49,46,45,39,66,120,179,185,189,179,153,128,118,120,115,128,124,110,58,61,44,40,48,40,65,128,163,158,157,158,152,133,114,102,109,121,116,105,58,61,45,43,57,54,77,136,159,148,138,135,130,122,115,111,105,117,115,109,58,59,49,51,67,75,99,141,159,146,129,108,91,88,102,118,106,121,120,115,55,53,52,59,74,94,120,141,146,126,98,74,60,58,73,89,102,121,122,113,50,48,53,64,77,105,132,139,129,98,65,50,50,54,52,52,88,113,121,110,50,60,47,71,108,113,128,143,106,90,65,44,37,43,51,56,56,105,107,99,51,64,63,91,120,110,110,116,96,75,50,37,41,50,54,52,56,111,118,110,46,55,58,89,109,92,90,93,76,55,35,30,43,54,55,51,69,129,137,124,51,58,64,94,101,77,70,67,52,39,30,31,39,47,53,57,94,145,140,118,74,81,89,109,99,67,56,41,34,35,37,37,34,35,50,67,120,152,127,95,90,90,83,83,64,48,55,41,30,36,45,43,32,29,51,76,144,153,111,78,84,82,69,54,31,32,54,38,37,38,43,44,37,36,56,82,152,145,94,72,73,83,82,69,41,37,46,15,46,39,38,43,43,45,61,82,145,128,76,66,84,74,77,74,50,31,30,33,47,44,43,42,42,48,66,86,141,130,79,68,77,66,70,70,52,38,37,38,42,43,46,50,51,57,73,90,125,124,87,81,73,61,63,65,53,43,41,39,42,46,56,61,63,65,75,87,93,104,86,81,77,63,60,63,53,45,40,32,45,54,67,72,70,67,70,76,68,86,82,72,1
232,200,181,164,138,139,151,147,154,146,136,125,106,94,104,122,118,117,105,86,170,155,167,180,168,156,160,158,135,126,117,121,133,144,155,162,168,168,155,137,152,141,159,185,178,155,142,135,121,135,155,177,199,210,208,198,203,204,197,186,196,178,171,176,168,146,127,120,144,180,217,232,232,229,221,211,210,212,210,204,215,208,191,172,156,146,149,163,190,216,230,222,208,205,209,212,212,214,212,206,188,198,193,172,152,143,166,210,216,219,215,206,201,203,207,208,210,210,210,209,167,167,165,170,163,141,158,215,210,209,209,215,218,213,208,206,206,206,208,212,168,143,133,164,181,149,150,205,199,199,206,215,215,206,203,210,209,208,209,211,163,157,136,151,160,141,168,219,213,203,216,207,205,211,197,209,208,201,201,207,163,164,137,133,130,117,146,189,203,212,231,211,200,209,197,201,204,202,204,208,122,143,135,128,116,98,116,137,165,202,234,216,199,208,202,200,205,209,210,206,90,119,131,139,124,100,108,115,121,169,218,222,208,201,196,197,199,208,209,202,83,95,108,128,113,88,96,100,89,130,184,224,220,191,181,185,189,200,206,200,87,90,104,133,124,96,92,80,67,90,137,209,223,186,174,178,188,199,209,211,99,102,116,148,151,140,130,93,68,71,98,178,208,175,163,156,177,189,208,222,90,89,93,116,132,151,154,108,87,79,83,152,188,157,140,121,152,167,196,226,88,101,93,86,81,99,125,114,111,115,129,112,120,112,131,131,131,121,124,146,60,86,101,103,87,88,112,107,117,124,135,112,106,90,103,105,102,99,104,120,47,68,89,107,95,84,102,99,100,112,125,105,94,80,91,95,92,93,102,115,61,56,61,91,99,93,101,92,80,94,106,99,90,85,92,96,76,78,90,102,0
141,128,132,163,144,157,162,170,182,161,136,177,179,125,147,207,200,202,203,202,176,147,144,166,156,161,168,170,152,152,142,171,174,136,160,212,203,203,203,205,194,154,154,167,168,159,167,160,146,151,133,141,152,141,166,209,217,211,211,216,176,144,157,164,169,149,162,153,153,135,97,91,113,130,165,213,222,211,208,216,153,137,161,161,159,143,162,157,126,98,62,55,77,101,149,222,226,211,201,205,151,146,165,163,151,149,164,154,85,68,58,51,55,61,103,190,230,222,212,204,154,159,168,169,149,159,148,116,63,60,66,56,50,40,52,119,191,209,221,216,152,162,165,173,150,164,125,71,59,55,64,54,56,44,27,65,124,171,214,224,146,159,161,167,168,119,68,65,67,63,71,53,53,26,39,46,62,94,141,165,140,161,178,161,119,86,70,59,86,80,75,49,51,31,38,48,48,78,123,145,143,146,150,114,66,78,98,77,100,99,79,49,56,43,42,48,43,70,110,129,142,143,129,87,57,80,104,91,96,100,76,52,64,60,49,53,55,76,109,124,135,162,151,112,87,77,74,85,88,85,62,52,65,74,69,74,82,98,124,134,141,161,139,113,114,101,82,94,87,70,51,63,68,93,100,107,117,128,149,156,145,140,117,99,106,116,110,99,91,64,62,98,93,121,134,137,145,153,170,176,136,134,135,113,84,96,105,78,94,64,79,134,122,146,156,152,152,158,174,180,127,145,149,115,89,107,104,58,66,70,85,119,148,146,138,145,147,164,183,192,135,148,146,119,101,104,94,68,69,76,94,127,152,146,134,141,164,179,193,198,137,144,132,118,113,91,73,76,97,102,115,141,160,154,149,160,175,186,197,197,157,157,138,139,145,102,77,108,132,131,132,147,161,162,170,193,176,188,196,197,1
178,201,202,179,156,143,147,163,156,167,151,170,196,195,198,179,180,194,168,131,186,205,202,178,157,145,150,166,169,176,155,150,162,183,211,198,189,207,193,164,192,202,192,170,156,148,150,161,176,187,183,169,160,185,217,195,177,196,193,174,197,197,181,166,163,158,153,157,176,181,198,196,178,195,218,195,177,188,188,178,204,195,177,169,176,172,160,158,181,165,181,190,180,198,219,211,187,183,181,179,202,192,175,169,176,170,157,158,191,166,178,186,186,201,205,208,198,183,181,186,197,192,177,168,166,155,150,160,192,178,188,185,193,209,198,201,211,192,193,202,198,198,187,172,160,145,149,169,186,182,184,166,184,215,208,216,199,180,185,194,204,187,199,191,158,143,152,184,188,174,151,141,166,206,223,217,184,180,180,186,204,187,196,182,155,149,154,177,189,189,182,164,154,165,191,213,202,198,191,183,202,188,192,174,158,165,170,179,191,199,206,195,166,150,164,193,204,206,197,180,201,190,192,172,167,190,193,188,183,190,200,204,197,179,165,159,185,196,194,177,201,195,197,175,175,206,206,192,176,181,188,197,212,213,182,146,166,181,185,174,199,197,202,180,178,206,203,187,180,191,198,201,213,221,202,172,162,173,179,176,193,195,205,186,180,204,198,182,184,200,214,215,212,210,206,199,178,178,177,176,188,191,205,190,183,203,198,186,178,194,216,223,212,196,194,204,200,188,175,169,193,191,194,187,184,189,187,191,172,180,208,221,207,209,212,197,205,198,182,166,199,198,198,191,188,189,187,191,172,180,207,220,206,209,212,197,199,192,177,163,206,206,202,198,192,188,189,190,173,179,206,219,206,209,212,196,194,188,174,162,209,210,201,202,197,187,191,190,174,179,204,218,206,209,212,196,193,188,176,165,0
114,123,125,120,121,128,126,117,122,128,127,118,117,123,125,121,111,111,111,108,129,132,127,117,118,128,132,128,135,132,124,114,111,117,123,125,119,115,110,108,138,136,127,116,115,124,128,125,129,121,114,112,111,112,118,125,132,124,116,113,139,137,130,122,121,125,123,117,112,107,110,121,124,118,117,121,131,127,122,118,138,134,128,125,126,130,128,123,111,107,113,126,129,119,112,112,115,121,125,124,136,128,120,119,124,131,133,132,124,119,118,121,120,113,104,100,106,118,131,136,141,134,127,128,133,136,134,131,135,134,131,127,127,125,117,107,104,115,129,138,154,149,147,151,154,148,137,128,142,148,149,146,149,152,143,128,100,108,119,129,181,172,163,158,155,154,159,167,176,182,176,160,157,167,173,169,142,120,111,123,194,180,164,156,153,154,160,167,185,186,173,153,150,171,194,205,176,145,120,120,188,172,156,149,149,154,163,171,186,192,189,175,169,179,194,202,190,157,129,123,163,156,151,151,154,160,172,183,197,201,200,192,183,177,173,171,175,159,146,146,150,154,163,169,170,170,178,189,208,197,183,175,171,167,165,165,164,166,169,173,152,159,171,180,177,171,171,176,187,170,157,159,165,167,168,170,167,177,184,182,152,154,161,170,172,165,160,158,156,144,142,155,164,162,162,166,173,184,191,188,153,148,149,160,169,168,161,155,154,141,138,148,154,151,156,167,177,190,199,199,133,149,143,148,154,146,152,153,160,147,142,140,136,146,159,159,174,185,187,188,126,143,136,141,145,135,138,137,150,139,139,140,136,144,155,153,161,172,173,171,120,137,132,139,145,134,135,132,136,130,136,141,137,142,148,143,146,158,157,152,111,130,127,139,149,140,141,137,127,125,137,144,139,139,140,133,141,154,152,142,0
76,78,77,74,78,82,75,62,64,75,84,82,76,74,78,82,76,74,71,69,83,85,84,78,77,80,78,71,78,78,80,80,79,76,76,78,72,71,69,68,87,88,86,77,73,76,80,80,91,80,74,80,83,77,72,72,64,65,65,66,83,81,77,72,71,77,83,85,91,78,72,80,84,75,68,67,59,61,63,65,77,71,67,69,76,83,86,85,80,73,73,79,80,72,65,65,60,61,64,66,73,67,67,75,84,87,85,81,71,72,73,74,73,70,66,64,66,67,68,69,68,68,75,85,89,84,76,72,70,74,72,64,65,72,71,62,75,75,74,74,65,70,81,91,89,76,66,64,74,78,70,57,60,75,74,61,81,80,78,76,71,79,83,80,80,81,70,54,73,67,58,54,61,70,69,63,91,70,61,73,77,87,91,83,73,72,75,78,58,61,63,62,58,59,65,72,74,66,67,77,70,72,75,71,63,57,62,70,59,60,67,73,70,64,68,79,59,67,76,79,76,67,66,74,76,68,58,55,71,60,60,75,81,72,66,70,60,76,86,81,71,61,60,69,73,63,52,48,67,56,56,68,70,60,54,58,70,84,90,83,60,60,60,57,52,48,51,57,58,60,64,66,56,46,52,65,75,86,94,92,70,72,69,61,58,65,73,76,60,65,68,63,54,54,65,77,75,88,102,108,68,65,57,52,63,79,79,67,66,65,59,54,58,70,78,79,75,90,110,122,71,63,45,54,83,82,66,73,66,68,64,58,66,82,89,84,82,77,93,114,61,63,58,70,92,85,66,68,66,69,65,61,70,84,89,84,80,73,87,106,59,68,72,79,89,78,62,62,63,66,64,62,71,83,86,81,86,79,90,106,66,76,80,76,70,62,56,58,58,60,61,62,70,79,81,76,96,87,96,110,0
171,166,163,164,163,160,162,166,160,161,159,157,156,155,154,153,153,152,152,150,171,165,162,162,160,157,159,163,161,162,161,160,159,158,157,156,158,157,155,154,172,166,160,158,155,152,155,159,162,162,163,163,162,161,160,159,159,158,156,155,169,163,158,156,154,151,153,158,161,162,163,164,164,163,162,161,156,154,153,150,167,161,156,155,153,150,152,157,158,159,162,163,164,164,163,162,154,152,148,146,168,162,158,158,155,151,150,154,155,157,160,163,165,165,164,163,156,152,149,146,171,166,163,162,157,150,147,149,153,157,161,164,166,167,166,165,157,155,151,147,175,170,167,165,159,150,145,145,153,156,161,165,167,167,167,166,159,156,151,148,176,175,170,164,162,159,148,137,148,155,163,168,168,165,165,165,164,161,157,153,176,176,172,167,166,163,154,143,148,154,161,164,165,165,165,166,164,162,159,156,176,177,176,173,173,170,162,152,149,153,158,160,162,163,165,167,164,162,160,159,179,182,182,179,178,176,168,159,152,153,155,157,160,162,166,167,164,163,162,162,181,185,187,183,182,178,171,162,156,155,155,156,160,163,166,167,165,165,165,165,180,185,187,186,183,180,173,165,161,159,157,159,162,165,167,167,165,165,165,167,174,181,186,185,183,180,175,169,166,163,161,162,165,167,167,166,165,166,167,166,170,177,184,184,184,182,177,171,168,165,163,164,167,168,168,166,165,166,166,168,160,168,177,182,183,181,180,180,173,173,173,172,171,167,164,163,163,163,163,162,159,167,174,179,179,178,179,179,173,173,173,171,171,167,165,163,159,159,158,158,150,154,161,165,164,163,167,169,172,173,172,171,171,167,165,163,158,157,156,155,140,144,148,149,149,151,157,161,172,171,172,171,170,168,165,164,161,160,158,157,0
105,108,104,106,114,108,98,100,102,91,97,89,83,79,65,70,97,94,79,72,105,122,125,115,111,111,106,103,87,77,86,82,80,79,66,72,98,103,86,63,91,111,113,98,94,103,100,85,81,68,76,79,86,91,81,86,106,118,97,60,104,107,105,98,100,114,109,88,89,70,70,74,91,109,103,109,115,120,100,69,120,107,109,110,104,109,109,97,88,61,54,56,78,104,103,112,115,112,99,92,117,105,114,115,93,87,95,89,65,42,35,33,50,73,77,89,112,111,112,124,125,113,122,121,102,101,101,74,40,29,35,29,32,44,48,66,103,118,130,142,126,106,109,111,107,122,106,49,28,31,48,41,30,32,35,58,87,117,135,139,122,97,94,122,101,120,89,32,34,32,31,31,35,42,51,56,82,121,143,141,120,99,89,109,93,105,71,25,28,30,33,32,35,39,47,54,64,102,124,124,112,100,84,94,89,87,50,20,27,32,35,33,29,28,31,37,44,81,105,108,102,100,84,85,93,76,39,24,29,33,34,32,29,26,26,26,44,80,105,112,98,100,90,85,98,69,34,30,29,29,28,31,33,35,35,34,56,91,118,130,98,96,93,86,95,58,34,34,34,32,29,28,29,33,37,38,68,101,126,140,92,83,86,79,84,46,37,41,39,41,40,35,32,39,53,65,92,118,137,147,84,69,77,70,74,39,42,47,37,46,52,50,48,60,88,111,122,142,154,158,68,71,86,97,79,45,36,53,32,47,56,51,63,105,129,118,120,134,154,169,72,69,80,96,86,59,53,67,51,60,69,67,78,116,142,137,125,136,152,163,79,67,73,93,96,79,73,85,77,77,82,86,94,122,149,153,138,143,149,152,88,68,65,88,100,90,85,92,97,88,91,95,99,118,145,157,145,147,149,146,1
134,137,138,134,129,122,122,122,139,132,127,125,123,121,123,128,124,125,125,125,125,124,123,121,120,119,116,113,122,119,122,127,126,122,121,123,119,120,120,122,110,106,106,109,114,115,112,107,109,107,110,118,119,116,114,116,109,110,112,114,100,100,102,105,109,110,106,103,101,95,96,101,103,104,107,112,107,109,112,115,102,105,106,104,97,91,87,85,84,81,82,88,94,98,105,111,119,120,121,123,110,109,102,89,73,62,58,57,56,57,66,81,90,96,102,107,125,124,123,123,116,104,86,65,49,39,35,35,35,37,45,62,75,83,92,101,122,119,117,112,116,96,69,46,32,29,28,28,29,26,30,42,55,68,84,96,122,118,113,107,114,100,71,45,35,34,30,21,24,26,29,39,52,68,81,89,105,120,117,103,103,101,87,62,41,30,25,22,21,21,25,33,46,62,76,85,104,120,119,108,100,112,114,95,64,42,33,30,20,20,23,30,41,57,73,85,97,115,118,112,101,116,127,119,95,69,50,42,27,25,25,30,41,58,77,90,93,112,118,117,98,106,119,125,119,99,76,60,38,32,29,31,44,63,82,92,95,112,119,120,109,109,119,133,139,127,107,91,61,49,38,39,53,72,88,96,95,109,115,115,136,134,140,149,152,142,129,120,96,79,60,57,73,91,103,106,101,112,114,113,159,158,160,162,154,140,133,133,127,105,82,77,91,109,118,119,113,122,122,119,163,158,145,155,140,140,127,132,129,121,113,108,108,114,123,128,126,132,135,131,165,166,156,162,147,151,139,138,141,132,122,113,112,115,119,121,134,139,141,137,163,174,166,168,154,163,150,143,149,142,130,122,119,120,120,120,122,129,131,126,156,175,171,169,154,169,156,143,153,145,135,128,127,129,127,127,129,134,137,133,1
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172,150,141,166,186,172,166,188,186,196,197,184,152,137,146,140,157,158,157,154,169,169,154,142,148,155,162,175,185,211,207,167,130,137,161,160,147,149,155,163,163,186,172,132,125,147,164,171,181,183,157,101,65,85,135,171,178,174,176,186,155,178,171,140,133,148,163,174,190,140,100,73,54,51,93,168,211,198,191,198,160,155,146,145,147,142,149,171,168,99,67,75,81,57,57,125,197,188,187,194,188,156,133,146,158,140,136,158,125,71,47,49,72,63,43,90,181,186,194,202,209,175,143,148,163,148,129,131,99,66,53,38,61,70,54,106,184,199,208,207,210,188,157,148,163,157,125,102,71,54,60,48,65,68,54,120,180,198,204,192,179,168,168,178,180,163,114,59,50,56,73,69,59,60,90,155,200,197,203,180,152,163,172,174,168,142,87,35,54,56,63,48,53,85,131,190,197,184,175,162,143,162,161,144,127,99,60,34,43,48,57,51,70,121,159,191,176,159,141,149,152,159,149,131,108,73,48,51,46,40,56,66,94,137,149,151,149,138,125,151,150,147,151,153,126,73,47,56,59,40,61,88,121,155,149,136,163,157,149,173,151,133,142,151,113,65,51,57,44,38,88,138,172,201,189,165,154,150,144,149,155,128,133,124,70,46,58,55,40,59,128,172,193,224,216,185,174,172,173,163,154,130,138,115,49,41,66,49,69,95,154,165,162,200,205,178,163,165,177,165,129,141,142,95,59,57,49,52,84,136,156,146,150,158,160,168,170,161,163,177,90,105,113,75,48,54,54,62,78,137,163,154,153,155,153,157,167,158,159,171,84,99,108,73,47,54,56,67,87,151,176,158,148,148,147,153,174,166,165,173,105,117,124,87,56,58,58,70,108,172,189,155,136,139,147,158,183,176,174,179,1
54,61,77,95,109,117,129,139,119,92,88,91,106,120,116,130,157,138,125,128,91,102,124,137,126,104,99,107,93,75,78,74,79,94,106,134,153,141,132,129,124,140,160,161,127,85,68,76,76,72,83,77,69,79,97,131,151,152,146,137,135,153,164,147,110,77,66,67,73,76,95,89,78,78,83,107,135,148,152,141,129,146,146,119,93,85,77,64,66,65,81,78,74,75,66,76,101,123,137,132,111,121,113,89,78,79,66,45,56,48,56,53,57,65,56,61,76,100,119,121,95,85,72,65,64,60,47,31,41,35,44,41,46,59,54,61,72,90,108,112,89,63,46,51,56,48,38,36,27,29,45,41,43,53,51,61,75,87,99,104,86,68,55,48,47,54,49,30,27,31,39,44,44,46,52,58,78,83,93,104,99,64,40,39,46,54,48,31,22,27,35,42,46,49,57,66,72,91,105,107,133,87,54,52,62,72,67,47,29,31,38,42,43,43,51,61,64,93,113,110,135,103,72,57,58,71,69,47,39,38,41,43,40,38,46,59,77,94,108,108,113,108,92,63,50,65,69,49,43,39,41,44,42,40,54,73,107,102,103,110,99,108,107,79,57,65,70,55,58,51,49,51,45,43,60,84,122,110,109,124,106,105,107,95,72,64,63,57,74,64,59,57,51,49,71,98,115,115,123,137,143,126,124,127,106,82,75,76,72,62,58,60,58,61,87,119,107,121,135,142,111,125,139,145,134,113,93,81,82,72,74,91,106,114,124,135,110,132,140,137,94,108,127,140,139,127,110,99,92,84,85,99,111,118,128,140,122,140,141,133,100,104,110,117,117,109,95,84,75,71,73,82,90,95,107,120,134,145,138,123,124,113,98,88,84,77,66,57,49,49,52,59,63,68,82,97,136,145,134,114,1
133,127,128,118,105,120,133,117,143,150,145,125,109,111,127,140,114,110,109,111,117,113,122,123,112,120,131,122,130,139,142,131,122,125,137,145,118,115,116,120,109,105,113,124,119,119,126,123,117,127,135,133,130,133,140,143,123,122,126,132,120,105,105,118,122,117,117,121,119,125,130,130,128,130,134,137,125,124,128,135,134,111,94,105,118,115,112,120,128,127,127,126,125,126,132,139,128,125,126,130,134,112,87,89,110,111,107,116,127,125,125,124,123,125,133,144,133,130,129,131,121,110,87,82,99,100,95,106,109,110,115,118,117,114,122,134,120,119,122,127,110,111,90,80,92,89,82,93,92,96,104,111,108,102,107,117,96,98,105,116,132,102,87,81,73,84,96,85,89,88,91,96,98,97,98,102,89,91,99,112,129,108,93,88,87,92,91,81,79,84,93,101,100,95,96,101,94,96,104,114,126,115,95,86,95,95,87,85,81,89,101,108,104,95,93,96,86,91,100,108,127,126,104,91,100,97,93,104,97,99,105,109,105,94,87,87,79,87,100,111,135,142,128,113,115,107,102,117,104,98,94,96,97,91,82,77,85,95,112,126,135,144,145,137,129,115,106,110,100,88,78,81,88,88,82,77,85,93,109,124,136,136,143,145,133,123,115,103,97,86,78,81,88,91,89,88,86,90,99,111,142,130,138,144,134,133,131,111,101,92,88,90,94,96,98,100,98,97,101,109,148,144,135,131,138,148,143,130,119,116,112,109,106,107,113,119,112,115,119,123,172,162,142,127,128,134,131,119,123,121,120,119,119,120,126,132,133,135,137,139,171,162,145,131,132,140,137,126,118,117,119,123,125,126,130,137,145,144,144,143,150,151,148,144,150,157,150,137,112,111,115,123,127,124,129,138,142,140,136,133,0
116,118,128,131,129,136,143,136,128,112,101,95,95,109,113,101,121,140,142,120,133,149,152,132,123,149,161,141,105,93,97,109,109,106,106,101,124,136,136,121,152,152,148,136,135,155,158,134,107,93,105,127,123,110,106,108,121,125,126,124,169,132,126,154,166,153,138,129,118,103,107,122,121,118,121,122,111,114,123,133,169,126,126,167,169,139,126,135,113,100,96,100,105,121,128,120,109,118,135,150,141,128,137,147,129,110,116,129,117,105,98,94,97,114,117,101,122,133,150,162,122,128,137,127,104,101,117,124,128,111,104,104,102,107,110,104,137,144,151,153,130,128,133,131,119,120,129,130,126,103,98,107,105,105,118,128,144,145,142,137,148,143,145,131,106,116,134,128,146,113,112,121,104,101,125,143,151,137,120,140,147,146,145,127,108,124,141,130,133,110,108,108,101,111,135,141,142,137,123,136,152,145,134,119,117,137,141,118,135,120,112,106,104,122,135,130,137,140,126,126,151,132,115,118,132,142,129,105,139,126,116,113,119,129,132,126,143,148,132,126,132,120,115,131,142,130,116,114,131,117,109,117,130,129,127,132,150,151,132,131,111,121,131,141,135,114,110,133,128,119,109,115,125,117,111,125,150,144,121,123,116,138,139,129,122,111,109,129,132,136,121,111,115,110,106,120,146,134,113,119,136,154,135,107,113,118,109,108,129,146,130,107,112,118,120,131,143,133,117,132,141,126,129,121,118,120,118,133,160,144,132,121,105,106,118,120,122,128,129,137,131,123,131,122,116,122,127,149,160,143,131,120,103,101,111,112,120,125,123,127,119,118,132,123,116,126,141,170,168,150,140,130,111,106,112,113,122,127,121,119,115,116,131,122,118,135,153,183,175,157,148,140,121,112,116,119,129,134,126,119,0
190,168,165,163,162,194,211,180,142,144,154,173,178,163,164,187,161,138,156,194,172,155,156,170,182,203,201,170,121,127,128,138,156,170,178,185,165,147,153,180,152,144,150,175,195,191,166,140,85,91,87,88,120,166,185,176,147,140,134,142,144,143,151,173,179,146,108,95,58,57,55,56,88,143,169,158,141,153,146,139,149,151,157,163,143,93,59,60,49,39,40,48,66,108,137,132,131,156,159,153,163,154,154,147,110,63,44,49,47,31,35,44,49,82,115,116,116,142,159,162,178,151,141,129,87,57,53,50,49,33,41,47,49,90,132,132,136,145,162,172,189,146,128,114,76,61,64,51,57,45,53,56,63,119,169,166,153,145,157,168,195,159,116,119,74,34,66,51,52,67,60,63,74,150,171,157,138,157,164,153,211,186,129,110,71,40,65,53,50,59,59,67,72,136,159,144,139,152,158,154,207,204,148,114,89,67,74,59,52,50,61,77,74,123,150,136,143,145,149,151,210,225,167,116,105,94,84,69,55,44,64,83,79,114,147,142,150,141,138,144,227,242,182,118,110,101,79,64,57,46,67,83,85,108,147,156,164,148,138,140,210,226,188,141,134,113,70,47,62,61,81,86,98,109,147,169,175,160,147,143,187,198,184,160,154,128,76,52,62,76,89,82,105,104,136,166,176,167,157,148,202,193,175,153,146,126,88,76,53,77,87,71,100,92,117,151,171,168,161,150,191,190,172,145,133,135,131,118,85,88,90,81,66,75,121,169,173,161,160,162,165,168,160,144,144,157,161,154,116,125,124,94,55,58,120,188,180,171,169,168,149,154,148,139,143,159,167,163,140,162,172,143,93,78,127,186,177,172,167,163,151,152,145,136,138,151,157,154,152,176,195,180,141,118,138,171,167,169,161,153,1
180,153,136,131,122,123,139,147,148,156,156,153,166,178,155,119,147,162,175,176,205,184,170,157,136,132,152,168,156,167,160,141,139,158,167,160,174,175,172,163,180,188,207,209,181,156,153,155,149,157,152,134,135,159,179,183,168,162,150,139,187,190,203,205,182,162,157,155,134,137,139,145,167,188,184,168,140,139,133,130,196,183,182,182,171,164,159,148,142,142,147,166,191,200,179,151,138,148,157,159,172,156,153,161,166,171,167,151,167,168,172,178,182,179,166,154,154,172,188,192,167,148,138,142,153,173,185,180,169,175,180,175,163,151,151,157,164,177,188,187,152,152,166,178,182,185,179,164,153,161,170,168,155,141,141,148,166,171,170,160,164,174,165,173,203,190,159,160,185,182,177,161,149,158,166,156,188,150,122,123,167,184,179,179,195,181,163,176,179,170,170,170,163,166,175,173,150,132,125,138,179,188,176,169,176,162,148,161,176,161,162,168,156,141,138,137,123,122,128,137,163,159,145,148,165,164,153,156,153,145,151,159,150,139,134,128,123,128,129,123,161,154,145,149,161,158,151,150,146,142,143,137,130,138,141,128,150,158,155,141,156,156,158,159,153,146,147,153,162,155,146,132,127,146,156,146,190,198,196,183,138,138,147,155,151,153,162,168,156,148,148,153,158,175,188,185,188,192,189,178,168,151,149,153,150,150,149,140,143,131,139,158,162,158,158,154,145,144,138,130,161,169,165,147,145,153,148,132,133,123,120,125,126,123,122,129,121,121,118,116,148,156,154,142,142,151,148,133,133,130,133,141,142,135,128,128,126,122,117,115,133,143,144,141,144,153,151,140,144,144,150,157,161,157,151,148,137,122,104,97,129,136,142,144,151,158,157,149,153,153,155,157,165,172,175,174,155,125,91,73,0
116,132,153,165,165,162,163,166,164,161,159,158,158,159,161,162,161,147,143,154,114,118,127,139,150,159,165,166,159,161,165,170,174,177,180,180,156,149,148,156,122,116,113,125,144,159,160,155,169,171,175,178,180,179,176,173,153,154,156,159,123,115,114,128,151,166,163,155,180,182,183,183,180,174,168,165,163,169,173,170,110,107,111,128,153,170,174,172,180,181,183,184,185,185,183,183,175,182,185,183,113,112,115,128,148,165,176,178,178,179,181,183,186,190,192,195,178,179,182,185,128,129,134,146,161,173,177,179,182,183,182,183,185,185,186,186,181,174,174,183,131,137,149,169,186,193,193,187,185,185,186,187,187,187,186,183,193,179,176,188,151,144,152,180,183,183,195,172,178,184,187,184,182,187,194,197,197,174,158,162,146,146,155,182,183,176,180,156,171,180,185,180,178,186,193,194,188,176,164,160,156,155,160,184,186,175,174,151,168,181,188,181,180,189,195,193,178,181,178,172,161,158,155,176,187,178,174,154,170,184,189,183,181,190,194,191,177,187,190,183,143,145,138,164,186,180,170,151,174,183,186,181,177,183,189,189,180,187,187,181,122,134,134,164,191,183,170,156,180,180,181,180,178,178,186,197,184,185,184,183,117,139,140,164,188,180,178,179,179,169,167,173,171,168,181,202,190,185,184,188,121,147,144,157,175,170,183,200,168,151,148,160,159,153,168,197,196,188,185,187,130,152,146,169,170,189,194,187,166,165,142,160,174,160,177,186,186,192,186,177,131,150,143,170,178,192,184,167,171,169,150,166,174,158,173,183,173,181,176,168,126,141,125,152,170,187,171,151,161,154,144,155,150,130,140,151,150,161,157,148,142,155,127,149,176,200,190,180,172,158,155,162,145,121,126,138,138,150,146,133,0
82,85,86,82,80,79,74,66,67,70,70,71,82,93,93,84,85,100,107,100,96,102,102,94,83,77,73,71,69,73,77,79,88,100,101,95,95,106,109,100,109,108,103,94,88,84,76,68,67,76,83,88,93,99,101,100,101,108,108,97,108,97,84,82,89,92,81,65,67,77,91,99,97,93,91,94,85,87,83,74,98,91,82,78,84,90,86,74,76,85,101,110,103,88,83,87,69,66,59,51,91,97,97,88,80,81,87,94,88,90,98,107,96,80,77,89,83,75,62,54,94,98,98,87,80,82,90,97,87,77,74,75,67,56,66,86,94,82,66,58,101,93,82,77,83,92,93,88,76,58,45,43,37,33,53,81,83,68,52,44,89,86,82,83,90,94,84,72,58,44,33,29,28,30,36,46,53,60,61,51,84,92,96,94,88,79,65,54,40,33,27,27,26,24,30,38,55,65,71,69,91,105,115,107,85,63,47,39,23,23,23,23,20,19,23,30,55,60,64,63,94,104,108,90,62,40,26,22,22,24,26,24,20,22,30,38,63,57,49,43,103,101,89,66,43,31,26,26,25,28,27,23,22,30,43,52,70,59,47,41,96,85,64,40,28,27,31,32,22,25,24,20,23,33,45,52,57,50,46,47,77,67,46,28,22,28,34,36,37,42,43,40,41,47,50,47,48,46,49,57,91,84,71,57,54,61,66,67,67,72,74,71,70,69,62,51,60,58,62,71,122,133,123,97,83,78,85,100,102,109,93,88,76,67,75,69,64,66,84,101,134,143,132,109,97,91,94,106,140,138,110,95,80,73,88,88,79,80,98,114,131,136,125,109,104,100,98,105,132,126,98,84,74,74,97,104,88,87,102,116,119,120,110,102,105,102,97,101,99,96,76,73,71,72,98,109,91,88,100,111,1
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
202,206,207,204,201,200,205,211,213,208,214,223,204,160,122,107,126,111,86,74,185,203,217,216,205,200,203,208,204,207,212,219,219,199,161,129,128,116,95,87,150,173,196,203,202,204,206,205,202,210,209,208,218,220,183,135,145,135,114,104,128,146,167,183,200,211,208,198,200,208,205,199,210,216,191,151,171,163,142,128,121,140,168,193,208,212,206,199,198,203,205,205,208,212,204,194,189,186,168,156,101,126,167,203,216,210,208,213,205,205,207,210,208,204,207,215,203,204,189,175,95,103,138,187,213,209,210,220,210,208,208,206,205,202,204,207,209,212,198,183,117,97,108,162,205,211,206,212,206,207,203,200,205,212,209,201,206,211,199,187,133,111,99,120,162,198,210,209,209,205,199,199,208,216,208,193,202,203,201,197,144,120,98,100,122,157,192,217,221,222,216,206,203,204,204,200,208,207,205,200,145,127,108,100,98,113,154,195,198,210,218,212,202,198,203,207,209,208,206,202,130,126,127,126,111,99,113,140,156,181,207,216,211,203,203,206,203,203,203,203,121,123,135,144,132,110,99,104,137,158,187,208,212,209,207,205,203,204,206,209,127,127,131,136,133,121,110,105,124,130,146,169,189,202,209,213,211,211,211,213,131,133,130,124,122,124,122,116,117,107,106,124,152,176,196,208,217,213,209,206,128,137,136,122,117,122,122,116,123,107,95,105,129,153,175,189,218,211,201,195,120,128,133,130,123,124,129,135,140,125,112,109,107,107,121,139,155,157,166,179,118,126,132,130,122,120,123,127,133,122,116,118,117,116,125,139,124,127,137,151,116,124,130,129,120,114,114,119,121,117,119,125,126,122,125,133,117,118,123,131,120,124,128,126,116,108,109,115,111,112,118,126,126,122,121,125,124,124,124,125,0
164,172,152,150,142,126,133,120,132,138,166,179,162,157,159,146,143,151,143,132,145,145,134,151,154,147,168,174,133,136,155,163,145,138,139,127,142,150,138,122,153,148,143,162,158,136,145,159,131,137,153,157,139,130,129,123,134,146,139,126,179,170,162,160,141,116,117,128,142,153,166,160,139,123,123,125,133,150,151,142,168,163,158,145,135,135,143,156,166,176,173,151,122,106,112,129,167,177,171,157,130,135,151,148,149,158,155,161,171,177,159,130,111,106,122,152,217,216,192,164,126,124,149,153,151,146,122,127,151,154,134,114,116,122,138,167,225,218,189,159,155,130,140,138,131,119,99,118,130,134,117,108,123,128,133,152,195,190,167,146,134,146,132,115,117,114,111,124,133,120,110,120,136,134,137,156,161,162,172,154,115,123,123,122,123,119,118,125,130,123,115,120,126,118,121,142,166,165,170,155,123,117,124,132,125,120,124,127,114,116,115,117,118,108,113,135,147,146,145,130,136,115,120,130,118,117,132,137,113,120,120,121,120,112,115,133,120,127,127,119,128,107,112,126,117,120,137,143,130,135,130,125,127,121,118,127,124,145,148,149,121,113,120,131,130,127,131,132,128,132,123,117,125,127,124,128,151,172,167,168,118,126,130,135,141,136,126,126,120,127,120,113,122,131,133,138,163,172,146,140,105,123,124,124,141,140,129,132,133,142,133,120,125,134,139,145,161,158,116,109,115,97,101,112,135,152,141,138,145,151,148,144,149,145,132,125,124,128,116,104,111,97,104,110,126,133,113,110,146,148,135,123,125,122,116,117,117,123,115,106,98,94,104,105,115,110,83,80,132,133,120,106,102,100,99,104,117,126,124,119,84,89,100,100,108,97,67,72,110,116,110,102,100,94,89,95,120,132,134,132,0
131,166,154,135,152,150,140,161,175,167,157,170,199,207,198,196,191,177,170,173,137,156,133,114,139,147,141,160,171,167,163,175,197,205,205,208,194,177,166,170,148,154,125,111,145,158,150,160,176,175,178,185,192,191,193,195,186,167,153,155,153,157,138,135,165,175,161,163,180,177,185,191,186,181,180,177,177,163,152,152,152,160,154,156,175,177,167,168,179,166,172,181,177,182,189,186,185,180,176,175,152,164,167,170,175,175,174,180,185,162,164,171,165,179,198,194,195,196,197,195,145,160,174,179,178,173,177,185,179,158,165,173,162,173,191,183,188,187,185,183,130,149,173,184,180,172,173,178,158,145,166,182,166,171,185,173,179,173,166,161,134,142,165,184,166,166,189,169,148,128,162,178,159,162,168,168,176,164,161,170,143,150,160,174,161,162,190,187,180,155,168,164,141,152,165,169,156,146,146,158,142,152,155,169,167,163,189,202,188,171,181,169,151,166,174,171,149,141,139,148,125,145,151,173,181,171,190,208,188,180,189,172,160,179,179,172,155,153,150,149,109,133,143,168,181,177,195,210,199,190,188,162,154,172,170,164,160,165,165,158,107,121,127,149,163,175,205,210,186,186,191,175,173,182,164,156,167,174,170,155,107,110,114,129,138,169,210,202,167,175,192,191,199,198,168,158,177,179,168,148,104,102,107,119,125,164,210,191,173,174,184,184,194,194,168,165,184,181,165,146,94,80,99,105,109,153,183,173,166,176,189,190,190,202,201,179,172,171,169,165,99,79,85,81,80,127,173,173,169,171,182,190,193,201,198,181,174,173,170,167,106,84,80,72,64,109,167,174,162,152,162,181,189,188,184,173,166,162,160,159,100,86,82,80,67,103,164,170,156,134,143,173,184,177,171,167,175,169,166,169,0
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68,69,78,89,85,71,71,81,103,151,196,207,202,205,208,206,207,204,199,195,88,89,94,104,109,106,105,107,130,169,204,210,206,208,208,203,208,207,204,201,98,100,102,108,121,130,131,124,135,166,194,200,200,206,207,203,207,207,207,207,94,101,102,101,113,129,132,124,128,157,184,191,191,197,201,202,204,205,207,208,103,115,117,109,113,129,135,130,134,164,192,197,192,192,197,201,202,204,206,208,126,139,142,132,129,139,149,149,136,165,194,200,193,192,198,205,201,202,204,205,136,144,147,142,138,144,153,158,141,164,186,193,190,189,193,198,198,199,200,201,130,133,136,135,134,137,146,152,160,174,187,190,186,181,181,181,192,192,194,195,138,166,180,167,156,157,157,152,167,175,187,193,186,176,174,177,182,187,195,199,124,138,144,140,147,167,175,171,165,173,184,191,187,178,173,175,183,188,194,197,118,119,117,118,136,161,165,158,147,152,164,175,177,172,169,170,182,187,193,197,120,121,120,122,132,142,140,132,130,132,141,154,161,162,164,168,173,178,184,189,127,133,139,139,138,137,138,139,135,133,135,142,146,150,156,163,165,169,175,178,151,155,158,155,146,141,148,159,152,146,141,139,136,136,143,152,170,173,176,177,166,164,162,160,153,146,150,160,159,155,150,145,138,136,144,155,171,174,177,179,161,153,152,159,160,153,149,152,161,160,158,156,150,149,160,172,161,164,169,173,141,132,123,118,118,124,136,148,146,161,173,171,165,163,165,167,162,155,145,138,114,106,96,92,89,91,102,112,119,129,139,142,144,149,153,154,159,155,150,148,129,120,109,99,92,88,92,99,105,113,120,126,134,143,148,147,148,147,146,148,167,157,143,128,114,102,100,104,110,119,130,135,140,146,149,148,143,142,141,141,0
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118,127,118,95,92,110,116,107,86,58,39,55,71,58,46,58,73,55,50,69,114,119,106,82,76,89,90,79,68,52,39,52,66,57,50,62,77,61,55,67,100,99,83,63,62,77,79,68,62,54,42,42,51,47,45,55,72,62,57,57,91,83,63,49,55,74,80,75,75,69,50,37,39,37,34,40,53,53,54,54,88,74,51,39,46,65,76,76,80,75,58,47,51,48,38,36,48,55,65,73,69,55,39,34,44,59,68,70,59,61,54,57,68,66,56,56,72,75,86,99,52,44,39,43,51,54,54,54,33,35,34,43,59,63,67,82,92,87,96,113,54,51,52,58,59,49,36,29,20,17,14,19,34,44,65,97,90,81,90,118,54,57,62,78,65,44,41,22,26,25,23,27,31,27,42,76,92,88,101,129,67,69,87,105,69,28,33,30,27,29,26,26,27,26,44,77,88,88,100,119,92,99,116,115,57,21,35,22,26,33,30,23,21,20,38,67,91,99,109,116,133,150,152,113,43,30,46,13,25,37,37,28,21,20,32,57,104,119,131,130,173,194,190,140,62,33,43,16,21,33,35,31,27,22,31,54,116,136,150,147,189,208,211,185,108,36,28,33,18,21,19,23,25,21,33,63,119,136,151,154,190,208,210,210,164,76,43,54,37,24,14,18,24,22,43,82,118,128,139,142,196,215,203,211,203,134,82,71,69,43,20,25,32,30,56,104,120,122,126,129,189,193,202,201,210,194,132,98,84,56,26,20,32,47,90,146,146,128,109,104,197,200,207,204,215,208,159,134,121,75,29,30,71,105,137,166,156,138,118,111,198,201,206,197,207,207,173,160,163,137,97,78,92,113,137,162,149,132,114,106,193,198,203,192,196,196,167,160,178,185,162,119,92,89,109,137,130,115,100,95,1
142,132,119,106,113,156,200,215,196,150,141,172,191,197,194,176,201,200,193,181,161,150,141,130,131,158,184,189,195,151,144,174,195,200,190,168,184,176,168,165,156,149,145,134,122,137,168,181,217,185,170,176,176,174,170,162,189,173,161,164,166,167,174,162,135,134,164,189,205,202,197,183,160,149,157,167,194,179,171,175,168,159,162,159,137,125,141,159,176,196,204,191,171,160,163,174,173,170,174,181,181,140,121,129,137,150,173,190,198,209,199,178,176,175,170,171,158,167,177,178,122,66,36,50,73,100,137,163,186,199,183,163,172,179,169,164,153,169,177,168,65,19,6,14,22,31,60,87,103,145,159,160,179,185,169,161,140,159,164,151,31,15,21,37,32,21,25,29,38,52,91,140,183,163,164,146,128,120,128,139,30,21,26,33,24,20,24,26,35,29,46,91,148,145,149,125,103,99,115,132,41,32,34,36,28,26,30,25,29,24,36,75,131,130,133,107,84,86,109,135,66,38,25,31,28,26,26,23,24,43,73,105,140,124,125,101,82,84,111,138,113,59,24,25,24,20,26,31,44,71,104,125,146,127,129,107,90,90,113,136,177,120,77,63,52,49,64,80,95,109,122,131,154,145,151,126,105,102,119,138,208,188,166,137,106,105,123,135,146,156,161,159,178,170,177,150,117,112,126,142,197,218,224,188,144,141,157,161,166,188,202,196,202,183,186,159,117,112,126,140,186,191,194,177,151,148,159,163,164,171,211,213,211,206,202,151,113,106,118,133,178,175,177,173,167,175,180,169,162,163,193,202,217,206,187,139,99,93,107,125,178,177,180,177,172,178,178,162,161,158,171,185,219,195,158,118,93,89,108,133,176,190,199,183,159,156,160,154,167,159,156,168,214,178,129,104,96,94,118,149,1
177,178,180,182,186,193,200,205,209,208,209,208,209,209,209,209,208,208,208,207,175,176,179,182,187,194,201,206,209,209,209,208,209,209,209,209,208,208,208,207,178,178,180,184,190,197,203,208,209,209,208,209,209,209,209,209,208,208,208,207,186,186,187,190,196,203,207,209,209,208,209,209,209,209,209,209,208,208,208,207,197,196,196,199,203,208,209,209,209,209,209,209,209,209,209,209,208,208,208,207,204,202,200,202,207,210,209,207,209,209,209,209,210,209,209,209,208,208,208,207,203,200,198,201,206,210,208,205,209,209,209,210,210,209,209,209,208,208,208,207,199,197,195,199,205,209,206,203,209,209,209,210,210,209,209,209,208,208,208,207,204,206,206,204,204,207,205,201,207,208,208,209,209,208,208,207,206,206,206,206,198,201,203,202,205,207,207,203,207,207,208,208,208,208,207,207,206,206,206,206,191,197,201,202,205,209,208,205,208,208,208,208,208,208,208,208,206,206,206,206,188,196,202,203,206,209,209,206,210,209,208,208,208,209,210,210,207,207,207,207,187,196,204,205,206,208,208,205,208,207,206,206,205,205,206,207,207,207,207,207,187,197,206,207,207,207,207,204,204,202,201,200,200,201,202,203,208,208,208,208,183,194,205,207,206,207,206,204,203,201,200,198,198,200,201,203,208,208,208,208,179,191,203,206,205,206,205,203,205,204,202,200,200,202,204,205,208,208,208,208,185,190,198,206,209,208,205,202,205,205,204,202,202,204,205,206,207,207,207,208,187,190,196,201,205,206,205,204,206,205,205,203,204,205,206,207,207,207,207,208,186,187,189,192,196,200,202,204,207,206,206,205,205,206,207,208,207,207,207,208,182,181,180,181,186,191,197,201,207,207,207,206,207,207,208,208,207,207,207,208,0
72,79,95,154,200,165,128,155,132,145,142,133,137,138,131,129,156,162,147,138,76,74,117,176,185,154,141,154,148,158,156,150,145,138,142,160,184,177,162,153,76,79,146,198,170,147,156,151,134,148,156,156,144,130,144,178,179,163,161,170,70,106,174,197,165,153,159,146,139,163,175,169,155,142,151,177,153,138,154,181,77,148,190,179,168,163,148,135,169,192,191,166,150,146,149,158,157,148,167,189,100,178,188,157,167,164,136,134,185,199,180,146,139,151,155,156,176,177,186,193,127,177,173,147,159,155,137,148,189,190,166,141,145,159,168,174,175,194,199,192,142,163,157,146,152,147,147,166,175,167,144,131,138,144,150,162,166,200,205,192,157,148,149,166,171,151,149,179,202,171,146,141,152,174,184,175,187,196,201,196,155,155,160,172,171,153,155,182,188,163,161,181,182,178,186,196,196,199,199,196,150,163,170,172,167,157,161,182,198,188,200,215,202,186,193,207,210,207,200,197,152,166,168,163,162,163,168,182,213,216,221,210,193,196,207,204,213,208,199,193,159,168,161,154,162,174,180,187,213,206,201,191,186,201,213,207,204,202,195,187,166,167,154,148,168,185,192,197,216,191,183,196,200,202,207,207,200,202,200,191,162,159,148,149,171,190,197,205,213,193,191,205,208,207,207,204,200,203,201,194,155,152,144,149,172,189,197,208,193,197,202,199,199,215,220,204,198,198,193,187,156,157,154,146,156,173,188,217,201,202,213,215,200,193,200,202,203,198,191,189,153,156,158,157,167,174,180,199,211,206,209,206,191,188,200,207,199,196,193,192,150,158,164,178,193,188,183,191,199,192,195,192,178,178,192,198,195,194,194,195,124,134,142,174,193,180,172,171,172,172,183,188,178,176,183,185,190,192,196,200,0
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187,176,156,191,162,125,170,158,111,107,138,170,171,181,178,145,126,118,115,121,166,162,161,194,172,134,163,171,142,115,125,148,147,156,167,156,133,118,105,102,133,138,158,184,176,139,141,175,172,138,136,144,126,126,153,171,165,149,132,123,123,126,153,171,178,147,122,171,185,152,138,139,129,131,151,163,148,146,143,139,135,130,147,157,178,157,116,160,185,157,134,132,141,154,156,147,148,166,186,195,135,123,124,130,159,150,111,135,176,180,174,157,143,141,149,157,129,155,185,200,130,118,107,113,144,145,120,122,160,187,202,188,154,130,143,176,141,158,174,179,136,127,112,120,150,158,145,133,145,160,178,192,183,154,152,178,170,172,169,160,147,140,142,160,176,173,159,146,135,124,145,181,187,173,165,163,195,192,160,150,139,143,152,165,178,180,172,162,161,157,166,173,164,155,155,155,166,168,143,140,121,135,147,155,165,178,183,179,173,182,185,171,150,141,141,141,141,147,130,132,111,126,133,132,142,162,173,171,164,180,188,180,165,146,134,134,158,166,150,152,119,129,133,132,142,162,167,159,162,174,181,189,189,163,140,145,167,175,159,161,124,132,140,148,165,182,186,180,176,178,172,180,194,173,151,160,155,165,152,156,122,122,126,136,153,170,184,190,181,184,163,155,175,169,151,159,149,161,151,156,122,110,100,100,108,124,147,166,171,183,155,133,153,160,145,147,130,144,134,139,108,97,89,91,98,106,120,133,155,163,144,138,119,140,132,132,136,154,132,129,117,101,91,93,106,119,133,145,161,170,152,145,128,145,137,136,139,153,135,144,130,114,100,102,114,132,145,153,164,177,161,148,137,147,138,139,139,147,135,162,139,127,114,112,120,133,145,150,160,178,164,145,141,143,134,135,136,138,129,170,0
205,205,205,206,206,207,207,207,208,208,208,207,207,206,206,206,206,206,206,206,205,205,205,206,206,207,207,207,208,208,208,207,207,206,206,206,206,206,206,206,205,205,206,206,206,206,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,207,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,205,206,206,206,206,206,206,206,206,206,206,206,207,207,206,206,206,206,205,205,205,205,205,205,206,206,206,206,206,206,206,206,207,207,207,206,206,205,205,205,204,204,204,205,205,206,206,206,206,206,206,206,207,207,207,206,206,205,205,205,204,204,204,205,205,206,206,206,206,206,206,206,204,203,203,202,202,203,203,204,204,204,204,205,205,206,206,206,206,206,206,207,203,202,202,201,201,202,202,203,204,204,204,205,205,206,206,206,205,205,205,205,202,202,201,201,201,201,202,202,204,204,204,205,205,206,206,206,204,204,204,203,204,203,203,202,202,203,203,204,204,204,204,205,205,206,206,206,205,205,204,203,206,205,205,204,204,205,205,206,204,204,204,205,205,206,206,206,206,206,205,205,207,207,206,206,206,206,207,207,204,204,204,205,205,206,206,206,206,206,206,206,207,206,206,205,205,206,206,207,204,204,204,205,205,206,206,206,205,205,205,206,206,205,205,204,204,205,205,206,204,204,204,205,205,206,206,206,204,204,204,205,205,205,205,204,204,203,203,203,206,205,205,204,204,205,205,206,205,205,205,205,205,205,205,204,204,203,203,203,206,205,205,204,204,205,205,206,205,205,205,205,205,205,205,204,204,203,203,203,206,205,205,204,204,205,205,206,205,205,205,205,205,205,205,204,204,203,203,203,206,205,205,204,204,205,205,206,205,205,205,205,0
42,43,41,52,69,66,57,60,86,95,77,46,37,42,43,44,47,90,105,101,52,55,53,55,62,55,51,60,83,85,63,36,32,34,35,39,56,100,118,111,56,64,62,57,55,48,49,63,77,68,44,26,26,26,25,33,58,103,125,114,48,60,60,56,54,49,52,67,73,56,30,22,26,21,18,27,44,88,119,117,40,53,57,56,61,59,58,67,70,51,27,22,30,23,17,25,29,67,110,128,45,59,63,63,70,70,65,68,71,53,29,22,29,26,20,26,27,49,94,127,53,70,75,75,80,81,77,81,73,57,30,17,24,25,24,29,37,38,78,124,59,79,85,82,86,88,88,95,73,61,30,13,16,24,25,31,45,34,72,128,84,88,89,90,94,99,97,87,67,61,44,24,15,21,28,28,39,50,86,121,89,90,89,84,86,91,91,85,78,73,55,32,16,15,22,24,49,55,87,118,100,100,97,89,86,89,92,92,77,72,55,32,18,19,31,40,55,58,88,124,107,109,106,100,96,96,100,103,75,64,45,26,19,27,42,52,55,58,94,138,100,104,106,106,100,96,98,100,82,62,35,20,19,28,40,48,54,64,106,150,90,91,96,100,96,88,83,83,77,54,27,18,23,33,42,50,54,70,112,151,94,92,94,99,95,84,72,70,59,41,25,23,32,41,50,57,63,81,115,137,107,102,101,105,100,86,72,67,51,39,30,33,38,43,49,57,81,94,114,117,98,90,90,103,86,74,90,82,80,69,68,52,26,31,66,82,115,118,114,102,90,88,84,97,89,74,85,87,87,84,94,91,75,88,112,111,119,126,128,123,85,92,79,89,94,71,74,90,91,95,110,113,110,133,150,134,121,132,142,145,86,100,78,86,99,69,61,90,97,101,112,107,107,139,160,140,120,132,146,154,1
182,184,186,183,190,211,212,189,163,141,154,180,171,162,168,169,178,197,204,201,188,179,179,185,191,207,217,211,196,156,144,161,168,173,173,161,166,189,197,195,195,177,175,184,186,196,213,221,230,187,156,156,169,187,190,176,161,189,202,198,199,185,182,184,181,188,205,212,226,201,171,154,157,175,187,186,164,191,204,203,193,192,196,193,187,198,209,204,204,194,170,145,141,150,161,167,169,188,192,187,180,186,198,201,196,203,206,193,195,189,164,142,140,140,138,143,179,188,179,164,166,166,181,194,188,179,171,159,164,163,141,122,118,107,103,118,166,180,175,160,158,147,162,181,171,146,128,120,108,118,104,84,72,53,57,88,133,161,173,171,138,117,125,122,98,90,86,81,74,72,62,56,53,40,31,39,72,130,163,168,134,111,100,81,57,57,60,54,44,63,71,75,82,71,46,31,52,103,142,160,130,114,97,79,62,62,63,51,40,61,65,62,74,79,59,40,47,92,134,156,147,123,91,79,71,64,65,54,57,65,55,42,49,58,54,51,51,100,143,155,202,155,83,66,63,49,58,58,65,66,55,47,46,41,41,54,64,117,162,163,216,165,73,57,70,60,70,63,79,76,66,59,57,51,59,81,105,146,187,188,190,155,60,45,82,97,111,88,111,113,101,90,94,102,115,131,143,156,187,204,205,178,70,44,98,145,176,147,136,152,148,138,149,166,167,165,148,136,163,199,198,156,91,113,135,142,123,114,137,186,176,156,140,142,131,153,143,142,149,163,180,158,108,123,126,127,124,135,158,196,191,173,146,147,139,152,132,131,136,146,165,152,112,126,125,126,133,155,176,198,199,186,141,141,139,141,133,133,138,145,165,141,95,119,135,145,145,158,185,194,201,192,134,133,135,129,141,144,151,157,1
175,160,147,151,166,177,180,178,181,186,182,173,176,189,185,170,159,145,113,89,152,154,160,172,183,190,195,196,189,188,178,171,181,194,184,162,161,148,118,96,173,170,168,169,176,183,188,190,193,193,185,179,185,193,183,164,163,151,119,95,181,167,152,149,164,186,198,202,189,197,199,191,188,188,179,166,143,135,108,87,170,171,170,170,181,194,200,200,196,197,194,190,189,185,167,147,110,109,91,81,130,162,194,205,205,201,194,186,204,189,173,173,183,182,155,124,97,98,85,76,68,102,142,170,191,206,207,200,194,177,160,158,169,171,151,129,111,109,91,75,59,66,79,104,146,185,197,190,176,170,161,154,154,157,156,153,126,122,100,79,100,85,64,56,75,112,142,154,160,176,181,175,167,151,133,131,105,132,109,71,133,116,93,75,71,75,80,83,124,146,162,166,159,137,115,108,97,125,110,81,149,140,132,125,104,75,54,48,75,94,119,133,130,118,106,102,109,131,117,93,160,152,153,156,138,104,87,90,71,77,91,99,94,96,105,112,128,137,120,96,174,158,151,151,137,116,120,140,115,103,103,97,78,78,98,109,117,119,106,90,164,155,155,158,147,130,132,147,147,129,130,121,87,79,94,97,90,90,90,89,162,162,170,176,165,144,134,138,161,146,157,155,115,97,103,97,76,72,77,83,189,185,181,174,159,143,137,140,180,166,184,186,141,115,114,102,77,66,67,70,185,195,200,192,174,156,136,125,163,167,181,180,160,142,132,121,99,85,75,75,186,194,197,190,177,162,144,131,165,164,177,184,176,163,145,123,99,87,77,76,189,192,191,186,181,170,152,139,158,149,159,179,186,179,152,118,98,89,80,78,192,191,187,183,182,174,157,140,151,137,145,170,187,184,153,113,98,91,84,80,0
131,134,142,150,150,147,149,153,153,161,161,154,157,167,166,155,165,164,164,164,125,124,127,129,127,127,133,141,153,157,155,148,151,162,168,167,169,170,170,172,114,115,116,121,122,124,132,142,147,147,148,149,154,161,170,176,176,176,177,178,82,88,98,111,120,126,134,144,139,136,141,153,163,167,170,175,181,181,180,180,44,49,61,79,93,106,122,135,135,127,127,142,158,167,169,171,184,184,183,182,34,34,38,50,65,85,110,130,134,125,119,123,140,158,168,171,185,186,186,187,39,35,35,43,55,76,102,123,129,129,124,118,128,150,166,170,184,184,185,184,34,33,35,44,55,71,93,111,120,133,134,125,128,148,164,167,181,181,179,179,37,34,34,41,51,67,89,106,117,125,132,130,130,137,146,151,177,174,166,156,36,34,36,46,58,74,94,110,113,121,128,126,125,132,139,143,167,166,160,151,37,38,43,56,70,84,101,114,109,118,124,123,125,131,139,142,149,152,151,147,45,48,59,75,88,97,107,115,107,116,123,125,130,139,147,151,142,145,145,143,62,66,78,95,106,109,111,113,111,118,124,126,133,143,152,156,149,149,146,139,85,87,96,110,118,117,114,113,118,123,124,124,129,140,148,152,155,155,151,144,106,104,108,115,121,120,118,118,121,124,123,120,125,137,146,150,158,159,158,153,119,113,111,117,120,121,121,122,121,122,120,118,124,138,148,153,163,165,164,158,109,121,128,121,113,112,113,113,119,117,119,127,138,149,155,156,173,160,152,157,110,119,124,120,115,115,115,113,117,118,121,128,137,146,155,157,174,161,153,158,113,117,119,119,119,119,116,113,113,118,124,129,134,143,154,160,175,161,154,158,115,115,115,118,122,123,118,113,110,118,127,131,132,139,152,163,175,161,155,159,0
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108,121,124,125,128,119,116,132,145,154,160,169,171,156,147,157,127,118,149,190,138,121,138,162,161,162,156,128,145,159,167,169,161,143,141,159,128,101,106,131,175,133,158,189,172,182,184,131,136,141,140,138,134,121,122,141,116,94,92,106,173,140,158,174,147,153,167,136,114,102,84,85,98,100,101,115,99,105,121,132,145,141,147,147,132,119,114,110,82,68,47,46,63,74,86,107,103,117,129,134,142,156,149,140,134,97,60,59,51,51,40,34,35,42,68,105,118,118,104,96,143,155,145,129,112,72,38,39,48,53,48,37,29,27,52,92,118,119,97,80,123,130,126,104,71,44,43,57,66,66,56,45,41,36,49,77,104,124,116,100,154,114,79,59,41,30,31,30,42,55,48,42,50,46,45,64,86,137,133,110,170,145,92,43,28,35,34,23,51,58,54,55,62,46,30,37,78,121,121,117,171,150,86,29,26,33,26,21,56,57,56,58,58,40,32,46,103,126,113,109,157,130,67,31,38,30,15,31,46,45,48,49,42,38,63,99,111,135,118,110,145,125,68,32,39,31,20,35,28,26,36,48,49,60,93,125,116,159,156,149,142,140,92,35,27,37,32,27,23,25,46,70,79,92,106,109,135,177,166,149,150,152,120,67,42,47,48,36,43,56,86,101,95,101,108,96,122,147,127,113,165,156,142,114,78,62,62,60,68,92,127,123,92,92,110,107,97,118,112,127,158,140,136,127,117,140,104,106,144,150,137,139,101,67,95,101,79,104,149,178,165,144,135,123,117,148,122,131,163,163,150,162,137,96,99,81,89,110,151,181,147,127,122,115,115,150,128,138,155,162,160,184,165,125,123,100,102,115,151,182,115,105,113,117,119,150,120,125,135,157,166,191,165,127,144,140,110,117,147,179,1
178,201,202,179,156,143,147,163,156,167,151,170,196,195,198,179,180,194,168,131,186,205,202,178,157,145,150,166,169,176,155,150,162,183,211,198,189,207,193,164,192,202,192,170,156,148,150,161,176,187,183,169,160,185,217,195,177,196,193,174,197,197,181,166,163,158,153,157,176,181,198,196,178,195,218,195,177,188,188,178,204,195,177,169,176,172,160,158,181,165,181,190,180,198,219,211,187,183,181,179,202,192,175,169,176,170,157,158,191,166,178,186,186,201,205,208,198,183,181,186,197,192,177,168,166,155,150,160,192,178,188,185,193,209,198,201,211,192,193,202,198,198,187,172,160,145,149,169,186,182,184,166,184,215,208,216,199,180,185,194,204,187,199,191,158,143,152,184,188,174,151,141,166,206,223,217,184,180,180,186,204,187,196,182,155,149,154,177,189,189,182,164,154,165,191,213,202,198,191,183,202,188,192,174,158,165,170,179,191,199,206,195,166,150,164,193,204,206,197,180,201,190,192,172,167,190,193,188,183,190,200,204,197,179,165,159,185,196,194,177,201,195,197,175,175,206,206,192,176,181,188,197,212,213,182,146,166,181,185,174,199,197,202,180,178,206,203,187,180,191,198,201,213,221,202,172,162,173,179,176,193,195,205,186,180,204,198,182,184,200,214,215,212,210,206,199,178,178,177,176,188,191,205,190,183,203,198,186,178,194,216,223,212,196,194,204,200,188,175,169,193,191,194,187,184,189,187,191,172,180,208,221,207,209,212,197,205,198,182,166,199,198,198,191,188,189,187,191,172,180,207,220,206,209,212,197,199,192,177,163,206,206,202,198,192,188,189,190,173,179,206,219,206,209,212,196,194,188,174,162,209,210,201,202,197,187,191,190,174,179,204,218,206,209,212,196,193,188,176,165,0
123,135,142,160,167,178,199,187,186,182,179,173,162,164,165,152,146,151,155,152,115,128,143,166,165,161,183,183,165,174,192,191,156,154,158,176,162,161,158,153,126,130,141,169,170,163,182,184,168,172,196,198,156,160,153,187,174,168,160,156,144,138,133,157,173,182,195,179,158,138,144,154,143,179,159,175,167,164,162,161,133,140,136,147,163,184,192,157,106,74,66,83,112,176,174,174,154,160,167,169,115,144,155,156,156,167,167,127,68,45,35,52,92,142,183,191,156,165,173,175,126,151,161,162,152,145,133,91,59,45,42,60,89,89,174,200,175,175,175,172,148,153,149,153,146,129,107,61,51,38,39,63,87,48,157,196,192,184,174,166,131,146,152,145,123,87,68,78,53,54,76,63,41,65,127,197,178,184,173,151,146,147,142,134,116,90,76,82,67,63,71,59,48,61,106,176,175,169,160,152,147,132,115,106,93,76,67,68,64,59,58,56,70,68,81,148,173,162,157,164,145,119,100,89,75,63,59,57,49,49,46,61,99,86,68,125,160,160,164,171,151,122,105,95,74,65,66,61,51,51,42,60,108,91,57,107,137,156,168,166,148,113,98,89,66,62,69,64,63,58,40,49,96,85,54,98,129,154,169,162,141,98,79,71,49,54,71,65,66,61,49,56,101,103,84,123,145,156,162,159,145,94,69,61,44,57,80,74,62,64,66,80,126,140,130,164,160,155,152,152,137,111,67,46,58,69,68,67,60,54,79,113,158,193,195,202,207,182,145,129,150,124,77,45,47,56,60,64,81,90,128,154,177,194,194,207,215,204,176,153,156,144,108,79,77,86,96,106,115,124,158,175,186,193,186,197,213,223,206,177,149,156,143,122,121,129,138,151,149,139,152,165,183,195,181,180,199,223,217,186,1
125,137,117,108,141,149,131,131,110,165,217,220,185,146,125,119,118,144,146,140,97,126,122,113,128,131,124,138,170,199,222,216,188,158,136,125,139,154,146,131,114,129,119,112,135,153,164,182,171,189,198,179,147,125,120,122,159,169,164,155,110,135,147,154,169,171,168,174,147,149,144,128,110,97,95,98,88,101,117,132,105,137,159,153,137,129,140,162,188,159,131,125,132,125,100,75,41,52,82,113,109,114,117,111,108,123,152,176,173,143,110,96,90,71,43,21,22,21,46,75,95,91,103,129,151,165,164,152,150,136,116,88,57,31,22,26,30,18,37,63,116,112,129,153,163,164,151,132,122,106,84,59,34,17,17,27,28,14,34,63,154,131,135,155,147,113,82,66,109,117,92,60,35,22,25,9,28,44,33,60,166,137,111,100,84,58,39,36,85,89,63,41,30,27,33,16,29,37,36,75,161,139,89,50,38,24,17,31,66,64,35,21,20,22,29,11,29,28,38,91,138,134,81,33,27,22,19,38,58,55,29,18,19,23,31,16,29,24,43,103,110,116,73,27,23,21,16,32,45,49,32,27,28,29,39,30,23,27,55,118,79,85,56,21,18,20,21,31,38,46,36,36,33,28,37,28,16,42,77,138,62,60,46,27,22,26,31,33,39,50,46,53,52,43,46,34,39,79,102,141,60,52,49,39,26,27,29,21,41,53,56,71,79,73,75,61,77,117,119,131,76,77,52,34,33,50,21,29,34,62,70,98,114,92,87,99,125,128,125,112,128,119,84,51,30,35,17,40,59,111,124,121,113,95,103,115,127,119,103,86,163,149,117,85,44,40,33,72,103,166,168,129,99,84,92,94,96,96,96,97,170,155,138,119,72,58,53,96,136,186,168,117,87,75,73,63,71,85,106,124,1
153,156,154,149,142,137,134,131,135,136,141,142,136,127,125,128,115,131,138,137,147,165,179,171,148,127,119,119,124,124,130,140,145,142,137,136,110,127,133,131,144,164,177,161,128,105,109,122,123,116,118,129,141,147,145,145,118,133,136,132,164,160,143,113,79,72,96,124,119,105,94,96,106,117,126,132,129,143,142,134,188,154,109,70,49,51,75,99,89,77,66,62,63,71,84,94,124,139,138,127,179,134,84,56,50,54,63,72,53,53,54,54,50,47,54,62,101,125,129,120,160,112,65,47,50,54,55,58,38,45,55,62,58,49,46,49,67,101,119,116,158,109,58,37,36,39,43,48,37,44,55,64,62,53,45,44,37,79,107,111,163,88,37,37,36,28,33,46,33,46,57,56,52,51,50,48,30,67,112,124,154,82,31,30,31,29,37,48,37,45,54,56,53,49,48,50,39,64,101,132,134,72,29,27,32,37,50,59,42,42,48,55,53,46,47,54,44,52,74,131,112,67,34,31,34,48,67,78,47,39,41,52,53,45,48,60,55,48,57,129,110,76,47,33,34,58,86,99,52,40,37,47,50,47,50,63,66,53,59,133,124,95,64,45,47,78,106,110,59,47,38,42,46,47,52,60,59,52,64,122,129,108,86,76,87,116,127,110,68,56,44,38,41,47,52,52,56,60,82,117,124,112,104,107,127,153,143,106,74,64,48,36,37,47,49,46,72,82,110,127,108,106,96,113,136,135,131,129,94,70,55,50,42,46,62,69,92,111,124,134,107,104,91,94,108,114,126,140,158,131,102,79,71,83,105,116,97,120,135,143,82,83,74,65,69,78,99,128,173,168,154,134,125,128,127,121,98,128,148,156,53,58,61,48,48,57,71,103,144,167,175,167,163,151,122,95,94,131,157,165,1
139,144,136,117,108,112,113,105,141,154,152,124,103,119,135,127,152,152,144,130,140,145,139,121,108,107,113,115,136,151,151,131,114,114,121,128,139,152,163,167,142,145,142,127,107,97,103,112,130,157,164,157,152,133,124,140,140,146,150,150,126,130,135,130,113,99,98,107,112,151,162,160,167,150,126,135,138,134,125,116,106,114,128,135,128,113,106,109,118,157,157,144,160,158,133,127,126,126,127,129,113,127,143,147,137,122,111,105,133,155,145,121,134,149,139,127,130,129,131,137,133,151,163,154,136,124,116,108,120,127,121,111,119,139,145,138,148,137,130,130,134,158,169,153,133,127,127,126,119,118,129,140,146,162,176,177,157,146,138,137,122,153,158,155,122,129,121,124,125,117,118,183,174,171,191,201,197,178,162,150,136,166,167,156,122,127,118,117,133,116,122,169,184,165,193,209,207,196,183,143,131,162,166,152,121,126,118,113,136,118,125,151,191,166,195,217,210,212,206,137,126,155,167,152,127,122,114,104,117,117,118,134,177,174,189,211,208,212,216,143,134,157,174,161,141,120,109,99,95,113,109,122,148,181,182,201,209,206,217,160,130,142,162,157,148,122,118,117,97,112,110,118,128,182,185,206,213,202,206,166,130,125,145,146,150,124,138,152,118,103,111,108,115,161,187,216,208,193,178,142,145,129,143,143,151,124,149,174,131,86,103,90,103,130,180,216,196,181,150,108,129,129,119,139,140,137,165,162,135,119,107,113,86,103,139,183,179,143,110,103,128,132,119,134,136,124,152,171,149,123,103,112,92,105,124,152,164,137,115,115,121,131,116,126,134,113,137,188,171,133,103,115,102,110,108,116,151,133,119,122,113,125,110,121,140,113,127,202,189,143,107,119,111,116,102,98,143,130,119,118,0
158,169,190,221,191,183,177,193,166,179,218,182,141,168,179,170,170,176,177,174,173,175,194,203,197,183,174,159,162,183,218,184,140,146,150,157,171,172,175,180,166,172,204,199,207,188,183,152,155,182,205,182,147,130,131,161,181,173,172,182,147,167,207,209,198,176,178,167,159,174,178,170,161,134,136,185,195,179,174,186,154,168,188,204,170,158,159,175,178,173,150,159,170,141,145,199,198,180,173,186,171,165,162,186,158,160,161,182,198,177,143,161,176,139,143,187,190,172,162,165,160,154,161,173,167,170,176,180,199,181,154,180,183,133,136,172,181,168,151,143,135,145,176,171,175,165,176,161,190,180,166,199,190,132,135,165,180,170,154,140,138,188,156,165,160,172,179,150,175,170,180,189,159,140,155,155,155,152,160,168,147,197,184,183,154,150,163,168,172,173,172,161,138,138,152,144,154,150,159,171,165,198,208,206,171,148,145,170,202,187,175,169,167,166,157,148,168,156,157,166,172,173,190,206,196,162,127,143,174,162,169,188,191,160,135,157,186,161,150,152,168,147,159,186,203,168,129,133,126,143,176,190,190,149,119,165,181,156,147,152,175,158,159,180,204,175,166,176,156,174,184,172,196,182,126,143,167,150,155,175,178,178,168,179,201,176,207,219,198,193,172,148,200,202,121,121,163,150,161,186,166,177,158,167,191,168,217,222,200,192,175,158,204,193,121,152,165,149,155,176,143,147,148,161,174,158,153,181,189,180,177,192,190,162,151,171,166,145,154,172,135,141,142,154,164,144,134,158,168,162,161,178,180,160,153,174,164,149,161,180,134,138,136,145,159,143,139,165,178,170,166,173,173,151,143,162,161,152,162,177,146,147,137,139,153,146,150,182,200,192,180,176,168,143,131,146,164,160,163,165,0
93,106,119,127,118,88,67,74,76,77,76,78,93,106,97,76,84,101,105,90,95,110,113,107,101,88,76,77,66,72,79,89,99,99,84,66,76,96,104,95,91,111,109,93,90,87,79,76,77,80,90,101,101,87,71,62,90,109,120,113,90,109,113,101,94,85,77,78,94,91,96,106,101,86,81,86,87,105,119,121,103,113,114,111,101,81,74,87,97,91,95,105,103,93,97,112,100,108,114,113,128,123,111,106,100,81,77,95,96,89,87,94,93,85,86,96,104,102,99,96,146,134,109,96,98,92,82,84,87,76,66,65,65,61,60,63,67,61,63,74,152,141,111,92,101,105,86,69,70,56,40,33,39,46,50,52,60,51,50,61,153,108,91,103,101,81,57,42,39,35,27,32,49,50,50,59,65,43,50,70,117,89,76,76,58,38,40,47,32,34,30,34,43,40,38,47,50,43,67,92,81,54,44,50,43,38,45,51,33,41,42,44,48,41,36,45,46,50,81,117,58,37,35,49,53,53,55,50,43,51,49,49,54,49,41,47,51,62,99,140,51,44,50,54,46,43,49,49,54,56,47,42,49,47,40,41,52,86,134,171,73,55,45,43,42,51,59,54,67,65,49,40,46,48,41,40,55,117,172,192,102,71,47,39,46,67,76,68,72,73,59,47,52,56,55,56,72,132,164,156,111,93,74,53,39,53,74,79,66,74,65,54,58,64,67,73,90,127,123,95,103,100,98,78,51,47,58,61,65,51,48,58,67,82,86,77,85,92,71,68,70,82,105,113,101,89,76,57,70,63,71,84,94,104,108,98,86,93,73,71,67,76,98,115,119,118,106,83,98,97,110,119,116,114,108,95,87,95,75,72,85,80,86,94,103,116,122,111,120,124,137,140,122,106,93,78,85,94,75,72,1
172,200,202,191,177,168,181,193,188,170,179,140,150,176,177,161,176,183,178,160,156,168,170,162,154,158,174,177,205,189,191,151,170,205,204,173,177,184,185,177,165,157,160,153,145,163,177,167,193,170,169,147,178,210,215,189,181,185,184,181,188,169,176,165,148,168,175,155,176,147,147,143,170,186,206,200,182,181,173,162,198,179,194,173,145,162,158,138,173,166,166,150,162,175,208,200,181,183,175,158,204,193,209,176,148,162,150,142,152,177,180,149,153,180,219,193,183,194,196,182,214,207,216,169,149,167,150,155,135,155,161,147,161,175,211,183,180,194,201,192,215,209,208,154,140,162,142,156,148,138,139,160,179,162,188,175,168,180,184,176,212,201,193,166,161,172,160,154,156,150,151,164,177,160,189,176,184,195,197,184,210,201,188,156,157,181,171,157,159,164,169,167,169,160,195,184,198,198,194,186,207,202,191,157,161,190,175,153,155,168,179,164,161,160,197,191,193,186,184,190,194,189,185,161,162,180,165,151,154,156,171,162,167,167,195,192,177,172,179,198,173,164,168,158,155,162,159,170,172,149,165,174,193,187,196,192,181,178,183,196,164,153,161,157,152,158,170,201,192,155,174,191,219,209,200,194,195,190,186,181,167,164,174,165,156,163,173,200,189,157,183,193,220,217,203,192,193,193,188,177,167,174,188,171,158,162,161,172,169,151,184,184,208,214,202,189,183,192,194,190,173,181,180,185,170,148,159,168,166,161,164,179,195,199,193,188,191,185,209,200,173,177,172,178,165,149,162,169,182,178,177,179,181,181,184,191,194,186,205,190,178,173,165,171,162,155,173,174,187,191,193,186,173,165,174,190,193,181,193,170,188,174,162,169,162,165,187,182,175,188,201,197,178,163,168,183,194,180,186,155,0
107,116,118,146,160,142,147,159,160,160,157,150,141,133,125,119,95,103,111,115,118,122,117,146,166,154,157,163,151,148,144,142,142,137,127,117,102,103,102,99,121,120,108,131,155,148,149,149,145,137,132,137,144,141,128,115,106,101,95,90,124,122,104,121,141,137,139,136,145,137,133,139,146,143,131,121,107,100,93,92,127,132,115,124,138,135,139,137,144,139,138,144,147,143,139,138,117,104,92,89,123,135,120,123,133,129,135,132,141,136,136,142,143,141,145,154,137,115,93,85,130,143,127,125,132,127,127,119,140,131,128,133,134,133,141,154,153,126,102,95,152,163,144,138,143,136,130,115,142,129,121,124,125,125,133,146,158,134,115,114,160,163,184,177,157,148,131,121,125,125,128,129,121,113,118,131,140,128,122,115,174,180,190,191,174,156,139,116,120,121,120,120,119,121,131,141,125,127,123,115,184,194,188,202,193,172,166,128,110,116,121,124,125,126,125,122,108,125,117,102,190,198,175,196,198,182,193,151,123,124,122,118,120,122,117,108,114,136,115,88,201,198,163,176,179,172,192,155,142,128,107,96,100,114,126,128,142,155,125,91,208,194,161,160,158,156,170,143,126,109,94,93,103,116,129,137,153,152,125,101,191,177,163,158,155,159,160,143,122,108,105,120,127,124,124,131,135,122,108,105,166,156,164,162,163,175,168,157,154,134,128,141,142,129,126,137,113,93,92,105,155,155,169,178,164,159,179,198,194,166,156,149,149,148,133,139,120,109,99,95,164,158,169,179,171,168,181,192,179,160,161,161,162,158,141,146,139,124,106,93,188,175,176,182,173,165,165,163,161,154,169,173,172,165,143,145,144,131,113,97,199,184,181,182,168,156,148,139,150,152,174,179,174,162,138,138,137,128,115,103,0
162,146,130,121,113,108,113,121,131,151,185,191,170,171,171,151,147,145,158,170,174,154,136,131,131,124,108,96,119,134,176,207,205,204,196,170,148,138,143,153,144,136,124,115,114,110,100,88,113,115,149,190,208,215,204,173,151,131,130,140,99,107,108,99,91,94,102,106,98,85,97,126,154,189,194,166,151,129,129,144,112,114,117,122,127,125,113,98,62,49,48,57,89,150,183,164,153,138,144,161,163,146,143,162,177,155,99,53,40,32,32,32,49,109,158,160,162,156,165,176,181,167,166,174,161,112,57,25,34,26,35,38,32,67,124,154,176,176,182,180,164,171,181,164,105,40,20,35,29,18,35,45,25,40,105,160,187,189,190,176,179,192,165,123,71,37,35,26,26,25,34,40,33,37,88,151,177,191,191,186,178,178,147,112,70,39,39,31,39,28,28,37,41,49,85,129,179,196,195,183,178,164,127,103,75,44,39,30,33,25,27,38,45,58,92,128,170,192,188,166,176,155,120,109,89,54,41,31,20,29,40,43,42,56,97,138,165,188,181,152,179,164,135,131,107,63,43,29,23,34,41,39,37,57,96,130,172,193,183,151,193,189,169,159,124,74,52,39,42,41,34,35,53,84,110,121,178,192,180,153,179,193,188,181,147,107,104,101,104,94,79,78,104,139,150,142,175,181,167,148,142,172,185,189,169,153,173,184,181,173,154,143,159,185,186,171,172,172,157,143,93,103,121,169,163,168,208,192,186,192,178,176,179,188,206,199,195,177,140,140,114,114,123,165,154,140,168,152,159,174,169,170,172,182,206,206,196,179,141,138,124,114,122,166,163,134,157,145,136,159,163,166,166,175,203,208,205,190,153,148,122,107,117,169,183,145,169,164,133,157,163,167,167,174,199,203,211,199,165,160,1
180,146,146,173,189,160,122,136,130,129,136,128,120,144,158,138,142,134,138,144,178,154,162,189,207,184,144,151,127,126,133,131,126,147,160,145,127,123,136,150,176,163,172,188,204,191,154,154,144,138,139,135,131,145,161,159,132,126,134,145,182,174,177,176,190,187,157,154,157,155,151,144,136,145,167,183,161,146,143,143,176,175,178,172,185,189,163,158,147,159,162,155,148,151,171,194,176,159,152,151,147,153,163,161,173,178,152,147,138,164,173,166,160,155,156,169,169,153,148,150,136,139,148,145,155,158,133,131,136,166,171,162,166,163,150,149,169,150,141,140,154,151,152,141,146,147,125,128,131,158,157,149,168,176,165,158,181,158,143,137,139,163,165,158,153,133,117,128,140,152,168,145,140,172,179,169,171,146,141,143,140,162,165,157,157,145,130,134,141,150,172,159,148,165,168,167,151,131,133,142,148,165,163,150,152,153,142,135,135,136,167,171,158,158,156,166,160,139,139,150,159,167,156,137,138,151,149,137,129,118,150,170,164,156,152,169,166,140,126,133,158,158,146,128,128,152,163,154,135,112,135,161,163,157,154,171,196,166,138,136,147,144,142,133,131,155,176,172,147,121,135,153,157,159,155,168,189,165,128,114,141,138,149,149,138,151,170,167,150,130,140,144,146,157,157,165,186,179,146,122,141,141,159,163,143,142,154,150,144,132,144,139,136,153,158,164,162,172,149,125,145,146,158,166,160,159,162,156,132,143,153,134,149,139,152,155,161,158,166,125,147,141,146,154,156,162,167,159,137,146,152,134,150,143,151,151,156,156,169,134,159,140,133,141,151,165,168,156,137,145,146,133,151,152,155,152,152,152,168,137,174,145,128,135,151,166,164,144,134,142,138,132,153,164,163,155,155,153,167,137,0
195,171,154,108,96,114,83,50,57,75,94,110,132,159,175,178,182,165,174,197,184,183,180,145,139,146,109,81,80,105,127,138,151,166,163,150,172,157,153,155,173,195,196,164,157,146,106,90,101,136,166,175,181,184,168,142,156,145,139,134,169,202,196,162,151,128,96,95,119,159,188,187,181,179,159,131,119,114,126,141,170,205,193,164,152,125,105,113,126,156,171,155,136,126,110,89,70,65,94,136,174,198,180,158,139,109,97,96,96,112,115,97,79,70,61,49,48,39,70,119,176,180,151,131,103,72,69,58,52,55,56,56,57,58,52,44,62,55,81,117,177,165,126,106,75,49,60,44,33,27,30,44,63,69,62,54,80,81,104,127,161,146,123,100,79,61,47,41,26,27,29,45,62,58,52,62,81,97,123,141,163,139,110,95,85,68,47,30,29,30,29,37,50,50,60,81,99,117,142,162,169,135,102,91,90,74,45,21,30,33,30,28,30,29,44,70,79,99,126,143,177,145,111,95,88,71,45,26,22,29,29,26,25,19,27,47,84,113,144,156,184,166,137,105,82,65,49,37,16,24,24,24,28,26,27,41,49,97,143,156,189,188,163,115,77,63,56,46,22,26,20,17,24,24,24,33,30,96,161,182,192,202,177,119,78,71,63,44,24,31,25,19,23,22,20,27,41,106,169,186,192,206,181,119,81,80,68,38,15,29,32,31,36,33,30,35,79,134,177,178,188,204,175,117,109,93,85,43,19,33,31,17,49,23,38,83,117,151,183,193,186,202,176,130,134,118,97,42,17,30,33,15,36,36,84,140,158,185,207,210,195,203,178,146,164,154,127,66,38,45,48,33,56,94,158,200,175,194,206,203,202,204,174,147,176,174,155,98,66,59,58,59,90,155,207,210,186,198,206,202,1
143,128,141,159,135,95,82,88,117,132,132,120,115,115,124,139,136,113,96,98,153,129,130,148,140,117,110,112,113,101,78,76,98,110,103,99,100,96,93,90,124,95,93,117,127,124,125,126,129,121,102,91,95,93,87,91,87,101,111,108,113,101,112,141,156,165,172,172,162,171,165,145,119,94,91,111,126,139,152,158,137,147,176,203,207,208,213,211,193,190,177,163,145,119,110,124,126,121,127,142,162,182,216,230,218,212,212,206,213,201,184,174,162,135,125,140,146,129,125,140,193,209,230,231,217,214,215,204,217,212,205,202,185,150,140,159,151,137,128,131,209,215,223,219,210,217,221,209,210,205,206,217,213,178,154,162,158,154,144,133,138,147,167,185,195,201,182,149,142,153,170,194,214,211,182,148,119,125,126,120,103,97,107,136,154,140,115,104,114,122,132,144,156,159,146,130,95,94,92,91,135,110,92,113,138,122,106,122,115,121,124,122,120,119,119,116,110,100,95,100,192,171,122,102,119,110,96,113,119,125,129,129,125,123,125,126,123,107,101,112,200,209,162,112,121,139,136,139,124,123,126,131,134,134,132,130,118,102,97,110,168,194,161,101,102,147,173,177,176,165,155,152,148,137,123,115,118,106,101,108,181,205,196,151,134,163,199,213,226,211,200,196,188,167,143,130,128,118,109,103,126,158,194,196,174,178,207,224,217,212,216,226,228,211,189,175,153,145,128,111,73,75,120,161,189,210,209,212,210,215,211,212,220,221,221,229,200,195,187,179,74,72,105,132,162,196,202,204,206,210,206,206,213,213,213,219,229,228,227,225,85,79,95,105,138,191,206,203,205,209,204,202,208,206,204,210,211,213,217,220,91,86,93,91,128,196,215,205,209,212,207,204,209,206,202,207,199,201,204,207,0
173,172,168,161,151,138,125,117,122,126,134,141,144,140,132,126,122,127,135,138,176,174,167,156,140,123,109,102,95,99,105,111,116,117,114,110,113,117,123,126,166,163,156,139,120,101,89,83,74,74,77,81,86,89,90,89,93,96,100,101,143,140,131,117,99,83,75,72,70,69,68,69,72,73,72,72,72,72,73,73,122,119,111,98,84,73,69,68,69,68,67,68,68,67,64,62,58,56,54,54,114,107,96,86,77,71,68,68,61,61,62,64,65,64,60,56,54,53,50,50,108,99,86,77,74,72,70,67,59,59,59,59,60,60,58,55,54,53,52,54,103,91,77,70,71,73,71,68,65,63,60,58,59,59,58,57,54,53,54,58,97,86,74,70,70,68,70,73,66,65,62,62,64,64,61,58,56,52,59,72,94,83,73,70,69,67,68,71,66,63,60,60,61,62,60,59,58,58,67,82,89,79,71,68,67,64,64,66,66,63,59,58,59,60,60,60,57,61,75,93,83,74,68,67,66,62,60,61,64,64,61,60,59,58,57,57,57,67,86,104,81,73,67,67,65,62,59,60,60,61,62,61,58,57,55,55,64,77,98,117,83,74,67,67,66,63,61,61,55,58,60,60,59,58,59,60,73,87,108,123,85,76,69,68,68,64,63,64,58,59,61,61,63,67,73,78,87,103,121,130,88,79,70,68,68,66,65,67,63,64,64,64,67,76,88,97,108,122,137,144,103,92,81,75,70,68,70,75,71,74,75,76,78,89,104,116,132,137,144,148,112,99,88,81,76,72,74,79,75,79,84,89,94,104,120,130,140,145,150,152,133,120,107,98,92,87,88,92,90,97,106,114,122,130,139,147,139,142,144,145,150,137,122,112,104,98,98,102,104,113,125,133,140,143,146,148,133,133,133,133,1
171,161,160,169,165,150,146,154,144,108,126,148,136,159,192,175,178,195,189,167,180,179,196,191,187,188,172,175,151,122,132,149,140,155,178,167,169,181,171,151,178,163,179,184,190,190,173,185,165,134,126,144,159,174,181,173,178,183,172,156,209,174,160,189,192,165,170,195,161,123,96,118,165,190,191,189,184,187,177,166,217,207,170,193,172,122,156,175,126,93,64,82,132,159,169,185,185,185,166,147,172,202,177,165,128,94,129,129,88,70,54,61,83,98,124,160,197,194,161,122,167,178,171,132,108,110,104,93,71,56,51,58,58,61,88,121,171,180,153,107,199,153,149,103,103,122,68,60,67,43,40,53,53,54,72,89,109,136,128,95,157,138,138,123,128,104,93,67,65,48,35,40,56,67,74,79,95,117,146,125,168,161,151,155,174,130,76,56,56,55,49,54,68,69,68,77,71,107,155,146,161,167,152,186,217,166,74,54,40,51,50,63,90,94,89,101,77,97,147,164,150,158,157,206,223,189,95,54,43,51,46,59,96,110,109,122,110,103,134,159,152,157,182,229,217,200,128,59,52,59,53,55,77,94,109,130,133,113,125,128,149,155,202,240,223,216,173,98,48,58,71,74,79,104,139,161,145,108,98,92,140,146,192,222,230,222,205,161,91,88,110,129,134,163,189,180,127,88,77,73,142,145,172,192,228,212,208,200,175,145,160,186,194,217,213,162,90,75,82,72,125,161,143,122,165,199,197,203,174,172,181,183,210,226,173,119,90,85,67,56,120,167,170,146,148,158,165,182,168,173,196,204,208,192,132,90,71,78,70,57,145,181,197,172,141,133,151,171,153,161,197,210,187,137,79,62,69,97,100,83,188,191,199,180,144,139,162,174,145,145,183,199,164,98,50,62,80,122,135,109,1
133,118,100,93,101,109,101,87,118,199,184,155,169,182,203,207,217,200,215,206,127,108,103,119,129,126,130,142,184,202,194,180,188,176,166,201,217,205,217,209,113,120,147,183,199,197,204,218,224,200,205,202,209,189,150,187,211,204,205,189,177,202,225,229,229,230,225,216,212,204,210,209,217,208,170,164,192,191,175,149,234,241,236,218,208,211,210,202,200,208,200,209,214,212,199,152,163,173,145,112,220,209,204,206,208,205,208,215,199,196,183,204,209,212,218,162,142,163,128,93,209,205,206,213,215,208,202,201,201,183,185,195,200,223,212,145,121,156,122,92,204,215,212,199,199,212,211,197,208,186,206,188,187,232,189,102,101,146,119,99,207,207,207,205,204,204,205,208,207,207,201,192,164,188,106,75,82,114,133,135,206,208,209,206,205,203,205,206,204,207,198,201,173,124,66,63,87,138,177,186,204,207,208,208,206,204,204,204,205,220,208,217,213,126,74,78,80,148,203,215,199,203,207,208,208,205,204,204,194,217,203,202,223,174,86,79,91,159,207,209,194,198,205,208,208,206,205,205,201,215,204,195,215,209,77,85,144,189,212,202,195,199,204,207,208,207,208,207,212,210,214,212,214,212,80,132,189,207,205,191,201,204,208,209,209,208,208,208,205,197,209,210,213,191,104,167,199,200,187,177,206,210,211,211,210,208,207,208,211,211,215,210,223,189,141,182,197,190,175,171,198,211,209,204,207,208,207,212,215,202,211,222,203,179,183,196,202,196,178,156,189,204,210,213,222,219,209,207,212,209,222,228,206,186,189,197,213,197,163,131,158,172,178,187,203,202,188,180,182,190,202,195,171,166,177,182,191,166,131,105,134,140,138,147,167,174,162,154,147,162,170,146,124,138,164,168,153,130,106,98,0
161,167,176,183,189,193,196,198,196,195,192,183,171,165,166,168,169,167,164,162,164,170,179,186,190,192,193,194,193,193,190,185,177,172,171,172,172,170,168,165,168,175,183,190,192,192,191,190,190,189,187,184,182,179,178,176,178,176,174,171,173,179,187,193,195,192,191,189,188,186,185,185,186,183,180,177,182,180,178,176,178,183,191,197,197,194,190,189,187,187,185,185,183,182,178,174,178,176,174,172,183,188,194,197,194,191,187,184,185,185,184,181,179,176,174,172,170,169,167,165,190,192,195,194,189,183,180,178,181,182,182,177,173,170,169,171,167,166,164,163,193,195,195,192,185,178,174,172,177,179,180,175,168,166,168,172,169,168,166,164,194,194,190,184,175,168,164,165,174,179,180,173,165,163,168,173,172,173,175,176,190,190,187,181,171,165,161,162,167,171,172,170,166,168,173,179,182,183,184,185,187,187,184,176,167,160,159,162,157,160,164,167,170,173,181,185,194,194,195,196,185,185,180,172,160,155,155,159,152,156,161,167,173,180,185,188,198,199,199,200,178,179,175,164,151,145,147,153,155,160,167,173,180,184,186,188,199,199,200,200,168,168,164,153,141,137,142,150,162,170,179,184,187,185,185,185,195,195,196,197,160,161,159,149,138,136,144,154,169,180,192,197,194,188,184,185,188,189,190,191,155,158,158,149,139,140,150,161,172,186,200,204,198,189,186,184,181,182,183,185,149,151,150,148,151,158,169,177,188,190,196,200,201,195,186,180,187,188,190,191,153,154,152,150,154,163,177,186,195,195,197,199,200,196,190,185,187,188,190,191,157,156,154,153,159,171,186,196,201,199,198,199,199,197,194,191,186,188,190,192,158,156,155,158,165,179,193,201,201,200,199,200,200,198,194,192,186,188,190,192,0
133,119,85,89,137,155,152,169,108,113,118,99,83,120,165,173,175,123,148,102,126,133,104,88,130,168,175,182,151,111,91,86,72,86,131,166,140,100,132,95,120,145,123,93,132,188,202,194,182,99,56,65,60,50,90,147,118,96,133,105,125,145,126,103,143,202,212,195,183,104,55,63,63,48,70,114,105,103,136,115,148,136,113,114,157,198,203,189,176,141,103,86,81,70,66,73,83,96,120,105,165,126,109,136,171,181,178,175,168,180,157,113,93,86,65,48,69,96,112,104,154,118,127,177,194,166,146,146,152,190,179,126,99,93,80,71,73,112,123,122,133,113,150,214,214,159,122,120,139,183,181,132,106,101,106,118,81,125,134,137,121,145,198,210,201,167,114,118,143,149,166,159,106,103,145,133,67,127,151,148,140,186,225,215,183,151,123,129,138,136,143,136,94,99,141,129,81,140,172,172,171,215,220,201,177,153,141,127,122,119,118,111,83,96,137,125,95,147,196,194,211,235,213,194,170,137,127,105,102,107,113,114,90,98,135,131,104,145,204,200,225,238,214,198,156,97,90,91,99,114,131,142,117,108,141,150,120,139,201,190,206,197,178,177,150,96,85,103,125,135,150,169,148,122,148,167,141,132,189,166,200,175,165,162,149,115,98,129,168,156,153,178,165,131,149,174,156,121,169,135,223,207,210,181,142,107,95,146,200,167,144,172,168,132,145,173,161,111,151,110,223,235,234,201,157,100,78,130,183,173,149,156,161,175,146,168,152,125,109,132,193,204,224,209,165,108,90,136,183,172,147,151,161,173,146,168,155,129,114,138,129,132,184,206,169,119,112,154,183,172,145,143,161,170,145,170,153,126,110,135,87,76,145,196,168,129,130,165,182,170,142,133,162,167,144,171,154,124,105,126,0
95,113,139,148,126,95,87,96,104,106,105,106,118,128,121,102,98,97,101,110,121,133,136,121,99,87,90,98,98,101,101,104,117,129,122,106,112,108,111,126,141,140,121,91,75,84,96,100,92,87,75,68,81,106,122,126,134,124,116,131,136,124,100,81,80,91,95,92,75,68,52,38,46,77,115,136,137,125,110,127,125,107,93,97,102,94,80,69,53,57,53,42,41,61,96,122,144,134,110,117,118,105,101,110,108,84,59,48,52,56,53,41,34,47,77,103,149,153,129,124,107,108,107,101,84,64,50,43,55,52,46,38,35,44,64,83,125,152,142,142,94,108,107,82,56,48,51,52,43,44,48,54,58,59,60,62,106,145,140,132,90,107,105,76,50,47,54,56,49,61,61,49,45,56,64,65,95,130,102,131,106,112,100,69,49,50,56,57,66,56,48,46,48,53,63,74,121,150,120,139,84,85,74,54,48,57,62,59,71,48,38,47,50,44,52,70,135,157,130,140,49,53,52,46,49,59,63,56,59,47,43,47,46,42,54,75,123,143,128,135,44,50,52,47,47,53,57,55,47,52,47,36,33,57,92,118,118,136,136,137,48,51,49,43,41,48,56,60,39,50,45,24,34,85,134,158,132,143,150,142,48,48,46,42,44,50,57,59,39,54,57,56,80,125,151,151,145,147,151,130,53,54,51,52,55,56,53,48,48,65,83,106,141,163,150,123,144,138,141,109,50,56,66,65,56,69,100,114,101,130,165,146,124,141,143,137,141,131,122,122,47,57,78,90,93,112,140,153,155,156,157,122,102,119,125,126,135,127,122,125,48,58,83,104,111,128,147,154,130,120,120,103,104,122,121,124,134,128,125,131,53,59,82,104,111,120,131,131,127,117,120,120,130,135,118,122,138,133,132,136,1
177,178,180,182,186,193,200,205,209,208,209,208,209,209,209,209,208,208,208,207,175,176,179,182,187,194,201,206,209,209,209,208,209,209,209,209,208,208,208,207,178,178,180,184,190,197,203,208,209,209,208,209,209,209,209,209,208,208,208,207,186,186,187,190,196,203,207,209,209,208,209,209,209,209,209,209,208,208,208,207,197,196,196,199,203,208,209,209,209,209,209,209,209,209,209,209,208,208,208,207,204,202,200,202,207,210,209,207,209,209,209,209,210,209,209,209,208,208,208,207,203,200,198,201,206,210,208,205,209,209,209,210,210,209,209,209,208,208,208,207,199,197,195,199,205,209,206,203,209,209,209,210,210,209,209,209,208,208,208,207,204,206,206,204,204,207,205,201,207,208,208,209,209,208,208,207,206,206,206,206,198,201,203,202,205,207,207,203,207,207,208,208,208,208,207,207,206,206,206,206,191,197,201,202,205,209,208,205,208,208,208,208,208,208,208,208,206,206,206,206,188,196,202,203,206,209,209,206,210,209,208,208,208,209,210,210,207,207,207,207,187,196,204,205,206,208,208,205,208,207,206,206,205,205,206,207,207,207,207,207,187,197,206,207,207,207,207,204,204,202,201,200,200,201,202,203,208,208,208,208,183,194,205,207,206,207,206,204,203,201,200,198,198,200,201,203,208,208,208,208,179,191,203,206,205,206,205,203,205,204,202,200,200,202,204,205,208,208,208,208,185,190,198,206,209,208,205,202,205,205,204,202,202,204,205,206,207,207,207,208,187,190,196,201,205,206,205,204,206,205,205,203,204,205,206,207,207,207,207,208,186,187,189,192,196,200,202,204,207,206,206,205,205,206,207,208,207,207,207,208,182,181,180,181,186,191,197,201,207,207,207,206,207,207,208,208,207,207,207,208,0
208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,0
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136,141,187,150,167,150,163,187,163,127,179,160,141,158,134,163,187,167,154,145,154,164,177,174,158,145,144,179,176,151,166,145,137,168,137,142,171,150,140,140,146,157,157,171,160,137,148,179,174,176,158,146,128,157,141,160,187,156,134,128,150,154,156,149,174,129,163,165,149,173,145,160,144,159,144,167,192,165,147,142,175,178,167,145,172,137,160,138,136,169,135,157,160,186,154,135,158,153,164,178,169,177,154,148,157,163,158,145,155,190,158,141,140,191,179,144,137,141,162,181,154,152,146,143,155,171,160,166,176,184,172,144,137,180,187,169,144,144,159,172,171,146,168,137,170,153,154,167,177,141,153,165,175,186,171,154,147,150,171,188,192,180,169,140,133,158,160,149,156,170,199,190,188,175,172,145,157,162,189,160,194,182,162,154,148,144,154,165,154,151,163,154,164,162,162,135,159,168,188,153,179,184,151,160,173,158,167,172,156,150,161,150,156,152,160,142,157,177,191,154,161,191,149,160,196,192,196,174,137,149,178,165,151,132,148,147,154,185,196,167,156,190,151,162,193,186,196,182,139,156,193,183,163,137,158,168,160,191,187,167,157,170,150,163,169,146,164,184,160,162,187,183,175,159,182,192,181,197,167,151,148,146,150,164,159,142,148,165,154,143,160,157,157,147,175,187,186,192,148,145,138,137,158,167,172,180,163,145,148,139,157,153,149,136,168,187,175,180,140,157,156,173,150,176,174,172,166,139,158,156,158,156,152,152,157,165,174,171,167,162,147,164,145,174,169,167,165,140,161,163,169,171,167,163,164,168,184,179,170,157,134,151,139,171,162,162,166,143,155,161,171,177,173,165,162,162,177,181,180,172,125,139,134,171,158,158,168,146,148,156,169,176,172,163,157,155,160,177,193,198,0
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100,104,101,113,143,155,142,128,140,149,155,149,141,135,126,117,102,107,108,106,102,112,114,126,153,166,162,157,134,133,139,151,152,140,125,119,129,123,116,113,106,119,124,132,150,160,161,165,151,130,123,139,147,134,119,116,126,108,92,88,110,123,129,137,151,157,158,165,172,137,111,114,127,129,123,120,115,94,79,83,113,122,129,142,162,168,168,176,174,143,108,98,113,132,135,126,112,97,94,108,112,118,122,135,156,162,162,170,175,156,127,111,118,132,130,117,121,113,114,124,110,114,115,126,144,149,155,170,183,167,147,138,133,127,118,110,129,125,121,119,108,113,117,127,146,157,171,193,183,164,153,153,145,127,119,123,107,106,100,90,122,121,113,131,134,159,171,190,178,180,172,151,132,120,115,112,89,81,70,63,125,118,104,122,127,158,171,189,194,192,180,158,133,109,86,69,74,71,67,65,131,122,108,131,143,173,179,190,173,159,138,115,100,88,73,60,67,69,72,73,124,118,108,134,143,160,146,143,108,99,83,72,72,81,85,84,83,87,91,90,106,101,90,110,107,110,84,73,71,77,82,83,89,99,107,109,106,108,108,105,99,93,80,98,92,97,77,72,87,99,110,113,115,124,133,138,118,117,116,113,102,101,93,112,109,120,112,116,119,131,141,141,138,140,143,144,115,113,112,111,103,107,105,125,119,129,123,131,133,151,169,174,165,150,131,117,110,108,106,108,107,123,124,119,122,126,132,145,140,179,192,171,157,148,131,116,112,104,97,97,121,133,129,119,122,129,141,158,155,185,187,159,144,142,135,128,115,105,96,94,114,126,124,117,121,129,142,160,150,175,171,141,128,131,132,131,121,111,102,100,91,110,119,120,128,133,140,153,132,158,158,133,124,127,128,129,122,112,105,104,0
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152,182,152,153,176,166,114,121,100,85,91,89,114,154,154,164,158,144,142,156,163,179,147,156,175,159,106,115,109,92,89,78,95,132,141,157,141,136,141,153,169,170,140,155,171,154,101,102,93,80,73,57,63,87,101,119,121,131,142,151,164,165,141,155,166,159,105,83,69,64,60,49,48,57,64,74,103,126,145,149,159,168,153,157,160,169,115,63,65,63,58,58,60,59,62,62,87,116,143,147,157,167,160,161,153,173,122,51,64,59,47,60,74,73,76,66,69,101,132,143,149,151,150,157,145,167,124,53,57,50,34,63,92,93,93,71,61,89,122,139,138,130,134,150,138,157,124,61,57,50,36,78,117,117,111,80,59,84,117,136,137,126,139,158,146,154,144,60,38,40,38,75,108,131,133,74,60,89,122,125,148,141,144,153,144,150,141,72,42,44,49,75,95,103,95,62,68,87,114,123,159,158,145,143,144,151,141,92,50,49,61,72,78,70,55,68,104,106,124,141,167,167,138,131,148,155,144,110,64,57,69,65,65,55,50,108,139,124,136,160,175,170,130,125,154,162,145,112,85,71,75,63,60,61,80,159,148,126,133,161,179,169,130,130,159,165,143,104,101,85,76,66,65,80,123,186,151,130,136,161,173,162,135,142,164,168,146,100,101,89,72,73,76,101,157,186,156,139,145,165,163,155,138,152,168,170,151,102,92,85,67,79,86,116,177,177,152,139,146,160,150,137,149,158,177,188,140,91,80,66,59,76,100,140,166,146,111,129,153,156,157,145,157,162,178,187,141,95,77,63,61,84,110,144,153,121,122,135,156,160,166,155,166,168,177,185,144,102,91,82,92,108,120,142,145,119,134,139,155,161,170,161,173,170,176,184,147,110,111,110,131,131,117,131,141,139,140,137,148,158,1
203,189,160,127,106,101,102,100,106,108,111,112,113,116,119,123,125,130,129,124,194,180,150,119,102,98,96,93,99,103,107,112,116,120,127,131,137,142,141,135,173,156,129,103,91,87,83,80,85,90,96,103,111,118,126,132,139,147,151,147,141,124,100,81,75,73,69,66,71,75,81,87,95,103,111,117,130,142,154,157,112,95,77,66,64,63,62,59,63,67,70,74,78,84,91,96,114,128,148,162,93,80,67,62,60,59,58,61,65,65,67,67,69,72,77,82,93,106,126,144,84,73,64,62,60,56,57,61,66,66,65,65,65,68,73,76,80,86,101,117,80,71,64,63,58,53,55,62,65,66,65,65,64,66,72,76,80,81,89,101,82,70,59,57,59,60,61,63,67,69,70,70,69,70,73,76,75,82,91,97,84,71,58,55,57,58,58,61,67,69,70,71,71,72,74,76,79,88,98,104,90,76,62,57,57,57,58,62,64,67,70,72,72,73,75,77,83,92,104,112,100,84,67,61,60,60,61,64,61,65,69,71,72,73,76,77,85,95,109,118,106,89,72,64,62,63,63,65,59,62,66,69,71,74,77,79,87,97,110,119,107,91,76,68,66,63,63,64,60,63,67,69,71,76,81,84,92,100,111,119,109,94,80,73,70,67,65,66,64,66,68,70,73,80,87,91,99,107,116,121,112,98,84,78,75,71,68,70,68,68,70,72,75,83,91,96,104,111,119,123,109,104,96,89,84,79,76,74,73,69,67,70,75,80,87,95,104,111,116,116,114,109,103,97,92,86,81,79,76,71,71,74,79,84,93,100,109,116,121,121,119,117,114,108,102,94,88,85,79,75,74,79,85,90,100,108,116,124,128,127,120,121,119,115,107,99,92,89,81,76,76,82,88,94,104,113,122,128,132,130,1
208,217,213,200,200,213,215,206,206,191,188,160,122,96,90,117,117,122,130,139,202,208,209,205,207,210,203,191,201,190,188,159,121,96,81,97,112,118,124,129,202,200,200,204,207,205,195,188,187,181,180,146,110,87,68,74,114,118,120,116,203,195,194,199,201,196,194,199,172,168,163,124,88,77,65,73,127,128,125,119,199,192,190,196,194,187,190,201,167,157,144,103,75,75,78,95,111,109,108,107,184,180,181,185,185,179,179,186,167,145,126,92,78,87,95,115,114,114,115,117,168,159,155,158,167,173,174,174,161,125,103,84,85,95,95,110,91,96,104,110,158,143,129,130,148,169,176,173,152,106,83,78,90,97,86,92,105,119,137,149,153,143,140,161,184,181,178,190,181,133,84,86,93,98,118,115,130,150,175,192,172,183,178,169,175,176,167,161,153,128,93,100,112,111,129,138,144,166,191,205,178,184,176,174,188,182,143,108,90,89,67,84,114,118,134,154,162,185,207,214,194,191,188,198,201,161,102,66,46,57,35,50,89,98,118,149,181,203,222,222,195,207,201,177,138,86,44,31,44,64,42,40,59,66,105,154,197,218,229,222,173,186,156,95,60,51,39,27,42,71,60,49,45,57,122,184,199,216,222,209,147,144,98,43,36,59,61,48,40,57,54,54,54,79,150,201,196,211,211,195,112,102,64,27,19,26,32,40,50,47,39,54,70,106,167,191,200,213,212,194,139,84,24,28,42,38,45,42,66,50,40,60,105,152,182,195,219,210,214,202,127,83,35,44,59,51,53,47,33,50,82,125,167,195,205,207,223,216,219,208,107,72,33,42,56,51,56,52,60,86,125,160,184,197,205,210,215,206,211,200,146,113,68,69,81,86,104,107,118,132,150,160,164,171,186,199,203,194,198,187,1
181,151,137,152,139,115,107,79,127,168,185,163,149,171,198,206,175,150,128,125,171,156,147,154,127,103,112,106,147,169,182,177,174,182,186,183,151,133,116,112,164,154,141,142,119,105,131,139,159,162,169,174,169,157,150,150,128,130,137,146,161,146,123,129,130,131,155,160,150,142,145,150,133,108,111,133,139,149,163,174,150,144,127,140,157,154,162,160,132,120,122,131,119,99,109,139,168,165,161,155,141,153,148,161,172,156,153,150,119,109,116,134,137,127,133,151,170,166,158,147,151,163,149,154,164,147,140,138,108,115,130,142,140,133,138,149,154,160,161,156,169,167,133,130,149,140,135,132,100,125,148,142,121,110,122,138,156,160,157,145,146,152,140,141,151,118,90,107,101,154,153,135,131,110,117,155,175,172,155,133,121,143,145,141,139,104,81,99,120,157,161,152,153,143,138,152,173,174,164,149,104,136,143,131,120,99,92,113,143,162,173,167,166,167,153,137,163,174,181,181,117,141,136,114,103,104,117,139,163,173,190,172,155,170,160,134,152,175,199,210,131,138,126,104,101,116,136,151,170,179,199,164,136,167,171,151,153,182,213,225,112,117,116,111,116,134,149,154,160,168,186,138,122,177,187,173,156,182,213,227,99,109,127,136,133,138,146,145,153,152,158,113,126,204,206,185,165,181,203,220,114,127,153,161,141,126,127,125,157,148,144,101,143,234,223,192,176,181,194,209,112,131,178,157,115,94,120,110,135,133,109,108,168,228,227,195,188,190,174,204,130,131,154,143,141,133,141,118,135,134,114,113,163,215,220,204,186,184,164,189,123,118,120,115,149,150,145,124,155,152,131,126,154,184,193,194,181,176,151,171,97,104,100,92,135,134,132,132,174,165,145,139,152,162,167,178,176,169,142,161,0
176,155,168,165,185,212,173,135,139,172,163,164,168,166,176,163,136,162,191,202,164,158,175,184,197,203,164,120,119,140,131,146,172,179,181,163,148,159,177,189,149,161,175,195,189,167,137,93,85,92,85,115,163,180,175,153,142,139,143,156,139,160,165,177,148,105,95,63,59,57,54,85,137,161,155,141,155,144,144,158,146,163,154,143,95,52,61,48,44,44,44,62,105,135,131,127,159,155,159,169,155,160,144,111,61,37,49,49,35,37,42,44,81,119,116,118,147,154,161,164,153,143,134,90,51,51,52,51,37,42,48,44,86,137,132,128,149,164,172,164,143,125,123,78,52,68,55,50,52,55,63,58,109,171,161,151,146,163,169,156,160,121,114,72,34,54,62,59,72,62,60,74,152,167,160,141,151,165,149,128,177,127,111,78,48,61,60,52,60,60,61,70,133,151,149,133,151,156,151,139,206,145,115,93,74,75,65,53,51,65,72,74,119,142,146,134,151,144,147,154,225,163,123,109,94,80,66,59,48,68,79,80,111,145,156,145,148,132,144,165,231,178,133,121,102,70,57,55,51,69,78,85,106,149,166,156,152,134,146,166,227,193,150,138,113,66,53,53,63,73,80,94,104,151,173,171,159,149,150,157,207,194,160,153,127,75,59,57,72,78,84,102,97,142,170,178,165,164,150,139,182,182,155,156,135,81,64,57,72,76,82,101,84,127,158,173,166,172,148,123,193,171,144,135,143,140,112,79,74,97,82,62,72,119,173,179,158,158,155,148,177,160,141,140,156,162,143,118,125,132,93,54,56,111,179,196,171,169,165,159,158,146,134,139,158,170,162,147,162,172,136,92,86,126,180,189,171,165,156,150,153,143,135,139,152,162,159,151,171,194,175,140,126,144,174,166,170,159,145,136,1
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131,166,154,135,152,150,140,161,175,167,157,170,199,207,198,196,191,177,170,173,137,156,133,114,139,147,141,160,171,167,163,175,197,205,205,208,194,177,166,170,148,154,125,111,145,158,150,160,176,175,178,185,192,191,193,195,186,167,153,155,153,157,138,135,165,175,161,163,180,177,185,191,186,181,180,177,177,163,152,152,152,160,154,156,175,177,167,168,179,166,172,181,177,182,189,186,185,180,176,175,152,164,167,170,175,175,174,180,185,162,164,171,165,179,198,194,195,196,197,195,145,160,174,179,178,173,177,185,179,158,165,173,162,173,191,183,188,187,185,183,130,149,173,184,180,172,173,178,158,145,166,182,166,171,185,173,179,173,166,161,134,142,165,184,166,166,189,169,148,128,162,178,159,162,168,168,176,164,161,170,143,150,160,174,161,162,190,187,180,155,168,164,141,152,165,169,156,146,146,158,142,152,155,169,167,163,189,202,188,171,181,169,151,166,174,171,149,141,139,148,125,145,151,173,181,171,190,208,188,180,189,172,160,179,179,172,155,153,150,149,109,133,143,168,181,177,195,210,199,190,188,162,154,172,170,164,160,165,165,158,107,121,127,149,163,175,205,210,186,186,191,175,173,182,164,156,167,174,170,155,107,110,114,129,138,169,210,202,167,175,192,191,199,198,168,158,177,179,168,148,104,102,107,119,125,164,210,191,173,174,184,184,194,194,168,165,184,181,165,146,94,80,99,105,109,153,183,173,166,176,189,190,190,202,201,179,172,171,169,165,99,79,85,81,80,127,173,173,169,171,182,190,193,201,198,181,174,173,170,167,106,84,80,72,64,109,167,174,162,152,162,181,189,188,184,173,166,162,160,159,100,86,82,80,67,103,164,170,156,134,143,173,184,177,171,167,175,169,166,169,0
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152,159,170,181,190,188,173,158,172,180,185,176,164,162,175,190,192,191,190,189,163,167,174,179,180,176,170,168,173,174,175,172,170,173,181,188,185,185,186,187,174,175,180,184,178,167,166,174,172,167,164,167,176,183,185,184,182,183,185,187,181,180,185,192,185,170,167,174,172,166,162,168,180,188,187,183,188,189,189,190,191,184,184,189,187,178,173,176,174,171,171,177,186,191,191,188,195,195,195,195,201,191,180,177,180,183,182,180,177,180,183,187,192,194,194,194,196,196,196,197,198,194,182,172,175,185,184,175,176,180,186,191,194,194,194,195,196,196,197,197,188,193,188,175,176,185,181,166,172,176,182,188,192,193,192,191,198,198,198,197,191,186,184,186,183,177,173,172,172,177,183,188,191,193,195,196,195,199,199,195,201,193,185,182,179,173,171,173,184,184,185,189,194,197,198,198,194,199,200,197,193,187,181,181,178,172,170,170,169,167,167,174,182,190,195,196,193,199,202,200,189,186,186,189,185,175,166,162,155,156,158,162,169,176,181,184,191,198,202,201,199,194,192,192,186,175,166,163,173,176,179,178,176,174,176,179,192,199,203,202,194,186,179,178,177,175,177,181,189,191,194,193,192,190,191,193,195,200,203,200,186,177,170,171,175,179,187,194,191,187,185,189,196,201,202,200,198,202,202,197,195,188,182,182,183,183,185,190,197,185,175,179,191,200,197,190,199,202,201,194,189,200,204,194,185,185,189,190,188,189,189,188,188,189,192,195,203,203,203,204,186,194,198,193,188,190,193,194,191,191,191,190,190,191,194,197,204,205,206,207,182,188,191,191,192,196,198,198,193,194,193,192,191,193,197,200,201,203,206,208,181,183,186,190,195,200,201,200,194,194,194,192,191,193,197,201,198,200,203,206,0
199,165,168,150,147,191,143,135,127,112,125,136,118,101,94,80,59,44,50,50,162,157,157,142,134,169,134,128,113,103,116,126,109,97,99,93,71,52,48,37,169,176,152,140,131,142,115,102,86,82,90,98,86,80,89,93,63,53,54,42,200,194,140,143,135,120,94,75,71,66,69,71,67,64,71,77,73,71,72,50,188,173,124,150,134,98,78,69,79,73,66,64,67,67,65,68,100,102,100,65,160,146,127,158,116,73,68,69,88,85,70,64,73,72,64,67,87,106,130,115,159,137,132,145,85,64,71,69,86,88,70,58,69,69,65,74,64,92,137,146,170,131,122,119,59,70,84,69,82,88,70,56,67,68,68,85,79,93,125,129,128,136,120,106,54,67,80,74,76,64,64,75,76,65,63,72,76,90,113,133,144,144,122,103,60,71,74,63,67,59,65,81,86,76,70,75,71,89,113,129,172,158,124,89,55,70,69,56,57,54,65,87,96,87,77,77,71,94,113,117,182,160,118,63,36,56,59,56,53,53,65,86,97,89,78,73,74,100,116,110,165,148,118,49,29,45,47,54,58,57,66,82,88,81,70,66,78,107,123,115,139,138,132,60,45,54,47,57,62,62,67,75,76,69,62,60,82,112,131,126,119,129,140,68,61,66,51,62,61,63,67,70,68,60,57,58,80,108,131,132,108,118,133,59,59,64,49,60,58,62,68,69,64,57,55,58,67,96,126,137,95,99,108,90,50,44,60,59,59,51,57,58,66,63,47,63,70,72,99,147,128,130,135,110,65,52,62,60,42,45,69,84,92,81,60,71,70,68,93,140,164,167,167,139,94,76,81,83,63,70,105,120,114,92,65,70,72,63,82,130,174,180,179,155,118,99,103,112,96,97,130,138,114,84,59,66,78,62,76,124,1
141,149,155,127,133,180,187,170,176,178,163,182,187,164,152,122,120,150,160,161,137,139,145,134,154,188,179,163,156,162,161,187,186,151,136,114,115,132,143,148,137,134,143,152,182,196,168,158,163,177,172,169,155,138,139,130,122,123,135,146,141,135,148,169,196,192,160,161,171,191,181,143,116,119,132,128,144,133,146,160,147,139,159,181,196,186,160,167,170,181,185,157,123,106,108,120,155,144,156,166,164,149,175,194,194,190,170,161,144,124,136,140,111,75,72,118,146,147,154,154,184,155,179,194,186,190,163,119,76,49,62,71,59,42,49,103,138,156,155,143,191,149,171,183,170,179,141,68,29,23,46,44,46,61,68,100,137,167,162,139,185,173,180,165,163,154,88,45,27,39,53,59,54,56,75,99,150,163,163,157,169,158,167,160,159,138,72,37,38,39,42,42,38,44,74,107,137,150,158,160,163,153,160,164,162,123,58,33,43,36,36,41,39,46,81,120,138,147,159,170,163,155,159,177,174,114,49,37,46,33,30,39,46,59,101,146,166,161,169,182,150,147,146,175,175,103,41,38,46,33,32,44,58,81,126,171,188,166,166,177,130,133,127,161,169,90,33,34,32,43,69,98,115,127,147,166,179,145,142,155,131,137,122,158,170,90,34,36,31,66,115,155,174,171,160,152,164,124,126,148,146,155,134,167,180,98,42,41,50,88,135,169,184,185,171,154,163,123,131,161,161,166,145,147,144,99,62,50,68,124,169,174,157,177,199,175,162,148,137,139,164,172,138,124,129,113,97,89,116,152,182,180,162,177,195,174,154,142,132,132,176,168,126,117,129,119,121,133,145,157,180,181,162,167,171,153,149,142,138,137,189,157,116,135,148,113,115,153,140,137,166,176,164,159,144,125,145,145,145,146,1
135,143,145,146,151,151,158,179,162,165,174,181,178,171,175,183,169,160,150,144,139,156,165,168,173,173,178,192,183,182,185,189,186,182,183,189,176,168,159,153,148,175,188,187,189,187,185,190,192,187,185,186,186,184,183,184,182,176,170,167,163,193,204,196,193,188,180,177,185,180,175,178,182,183,179,174,183,180,176,176,170,196,202,190,188,186,179,175,178,174,172,177,186,190,183,174,177,177,177,179,163,179,179,173,177,179,175,177,172,171,172,177,188,193,186,176,171,172,173,175,161,166,161,160,169,169,166,172,171,171,170,172,180,188,183,173,167,169,170,171,174,170,160,161,169,166,161,168,176,175,172,170,176,183,181,172,167,168,169,168,163,160,163,172,175,169,164,164,167,174,176,173,171,174,172,167,164,164,164,164,160,156,158,168,174,171,165,163,168,170,169,167,170,174,170,162,166,164,164,162,156,152,155,164,172,170,166,163,165,163,159,159,165,168,164,156,160,160,159,157,149,151,156,160,163,161,160,159,156,154,152,152,156,158,156,153,158,157,157,155,140,149,156,156,150,148,149,153,149,149,150,149,146,145,149,153,158,157,157,157,138,148,154,150,142,141,143,145,147,147,149,148,143,140,147,156,150,151,151,151,145,151,154,150,147,148,147,144,151,148,148,149,146,143,149,158,146,145,146,146,155,157,156,153,157,161,156,147,157,149,146,148,149,148,151,157,150,150,150,149,147,148,149,151,152,156,158,160,159,157,154,152,145,139,142,149,143,154,159,153,144,146,149,151,151,154,155,155,157,156,155,152,145,137,137,143,130,143,152,149,133,137,144,149,151,153,154,155,156,156,156,153,143,132,131,136,122,138,149,148,119,126,138,147,151,155,157,159,160,160,158,152,139,128,128,134,125,142,154,153,0
146,148,143,152,162,136,107,111,82,100,119,135,128,139,170,162,157,162,162,156,145,154,143,135,139,121,93,88,72,97,113,125,132,161,182,152,171,176,177,172,134,160,153,128,119,107,89,88,86,118,125,131,155,198,209,158,169,171,171,168,119,153,155,130,114,98,93,108,104,129,126,128,157,198,207,161,178,176,173,170,129,145,141,129,124,104,94,109,123,140,127,128,150,177,190,172,181,176,170,168,165,161,140,134,143,126,101,101,136,153,138,132,142,150,169,174,168,160,153,153,191,192,168,147,153,143,121,116,132,158,141,125,122,118,133,144,165,154,145,145,187,211,195,156,148,145,137,139,143,178,161,134,123,113,121,128,155,142,131,131,179,187,174,165,148,127,129,121,138,205,188,136,124,116,108,108,126,131,135,137,136,153,151,149,135,118,121,115,125,195,207,158,136,134,115,104,118,129,147,162,134,155,157,157,145,128,130,123,118,166,216,191,163,154,118,108,103,115,141,167,143,159,154,151,141,129,132,119,123,131,202,211,188,170,118,109,95,97,112,134,158,163,145,136,133,129,132,116,128,119,185,201,188,181,126,102,99,88,82,90,191,186,154,136,130,129,128,105,121,125,170,176,174,183,144,107,115,101,83,73,206,203,167,141,127,120,115,90,111,119,149,170,172,169,160,151,146,142,126,104,213,215,184,159,143,134,130,105,105,102,126,181,184,149,165,201,177,186,177,149,210,210,207,155,146,129,111,99,116,113,134,146,172,166,145,199,190,197,206,167,208,208,207,159,153,136,113,97,122,106,111,127,187,208,167,178,188,196,207,168,163,166,172,138,149,142,120,102,116,111,114,108,151,185,153,151,177,187,198,158,113,117,130,108,134,140,123,107,112,117,125,94,101,125,117,137,168,181,192,145,0
134,140,148,149,140,132,141,156,135,124,116,125,130,114,108,125,106,105,112,125,137,146,157,155,141,131,142,159,145,135,117,113,121,122,124,138,94,95,103,117,122,127,135,138,136,137,143,155,148,149,134,121,132,142,143,144,119,119,124,134,136,127,122,126,132,134,128,123,132,155,155,144,153,163,155,144,145,141,139,138,168,157,144,134,127,117,104,93,116,143,152,143,152,163,159,154,173,167,157,148,151,154,150,136,120,112,108,107,115,129,127,124,135,149,159,170,197,192,182,172,133,139,140,136,134,137,139,138,129,126,122,129,145,150,156,172,176,176,171,165,163,156,147,148,161,171,163,148,145,136,133,155,173,163,152,162,149,153,153,150,148,150,159,152,159,166,165,186,169,167,176,183,177,172,164,149,132,121,121,136,120,132,154,156,164,166,155,171,170,169,179,185,176,170,164,151,132,130,140,158,111,120,139,149,167,177,161,167,161,159,169,173,163,157,150,137,124,128,142,159,120,116,121,126,156,177,165,171,158,152,160,167,162,158,149,132,130,127,130,138,123,123,124,112,127,148,151,167,162,153,159,173,180,183,174,155,155,140,123,117,123,140,150,125,116,124,132,159,156,144,148,164,177,189,187,172,166,146,121,105,137,153,164,139,128,133,130,148,147,135,135,144,152,167,177,172,156,144,126,113,151,154,153,135,142,153,136,137,152,140,137,136,136,150,167,170,151,149,144,136,141,155,166,166,159,152,139,127,130,139,136,118,116,131,144,143,141,159,160,150,113,119,127,134,135,131,125,119,140,147,145,132,126,130,132,130,146,165,168,160,135,126,123,130,131,122,115,114,128,135,141,143,140,135,133,132,160,180,186,179,181,158,145,150,148,130,116,116,112,116,130,144,147,138,134,137,146,168,175,170,0
198,210,177,120,91,80,86,106,103,125,112,113,100,112,91,86,84,84,84,83,204,185,140,98,80,76,83,96,119,134,112,93,65,66,48,49,60,61,63,65,189,138,92,79,78,84,91,94,111,119,92,64,38,33,25,33,38,40,42,44,163,102,74,88,95,96,97,89,86,83,57,38,31,30,25,30,30,31,31,33,132,93,93,120,120,104,92,77,75,60,36,27,40,35,22,17,28,28,27,28,91,96,121,142,131,105,86,77,77,53,35,31,56,43,27,16,22,22,24,25,71,113,145,143,121,88,69,72,65,46,38,33,57,38,33,30,21,23,25,26,80,139,165,139,103,66,45,52,52,38,36,26,45,22,26,33,26,27,29,30,102,154,148,98,70,46,23,24,31,28,19,18,24,22,23,36,35,34,33,33,102,122,103,62,39,23,13,19,31,30,22,20,23,18,17,30,28,28,30,32,93,75,49,31,21,16,18,24,27,32,28,24,24,17,17,29,29,31,35,37,102,54,26,28,28,23,25,28,22,33,34,28,26,19,21,33,32,36,42,46,121,64,28,31,32,24,20,21,22,35,36,28,25,20,21,34,31,38,47,55,116,69,26,21,27,21,18,25,26,38,36,27,24,22,25,36,39,49,63,72,93,70,30,14,25,24,19,30,28,38,35,25,28,33,38,49,57,68,83,93,81,79,43,20,31,27,13,26,26,38,34,26,34,45,54,65,70,81,96,104,82,63,43,23,31,40,24,33,53,44,36,44,54,58,64,72,76,99,100,86,82,81,74,47,44,48,32,39,50,53,59,70,73,68,69,78,101,114,115,107,103,127,135,98,81,82,63,64,59,71,84,93,87,77,80,93,113,115,121,131,120,163,178,135,110,113,93,86,75,84,94,98,90,82,91,109,117,107,120,147,1
139,137,142,152,160,166,176,185,193,154,123,97,57,39,59,87,73,77,93,110,135,137,142,148,154,157,162,164,164,163,156,123,75,60,72,82,88,86,95,113,136,146,158,168,173,174,169,162,170,179,178,142,85,65,84,102,112,97,90,98,129,135,143,152,161,168,168,165,185,179,182,162,106,68,86,119,154,131,110,103,130,126,124,129,137,146,152,156,172,170,188,191,153,112,111,127,151,135,118,109,122,117,124,139,142,128,115,114,118,126,142,145,131,125,121,110,104,103,102,101,104,93,102,125,125,94,72,71,71,60,58,61,65,80,89,82,95,98,100,105,120,89,79,94,94,71,68,85,81,45,34,53,63,68,80,90,105,104,101,101,130,103,80,71,66,59,63,73,52,50,47,55,70,69,67,75,91,93,110,96,104,92,77,69,68,67,64,59,53,53,49,54,66,65,62,71,61,71,102,100,94,88,75,64,65,68,60,45,57,60,57,60,69,67,65,74,73,88,132,144,96,83,68,63,67,68,63,56,56,62,62,64,72,70,66,73,52,62,106,124,98,75,63,71,76,69,66,73,53,62,62,63,70,67,60,61,55,57,91,104,107,81,71,82,80,59,54,65,61,67,61,59,69,69,58,57,60,60,84,88,113,91,76,75,65,47,44,54,66,68,57,53,66,73,66,63,70,78,104,101,103,89,70,55,46,44,52,61,61,59,45,41,59,73,71,69,58,75,107,101,71,104,106,68,42,50,58,51,50,44,49,62,67,63,61,67,59,93,119,118,47,78,98,87,63,53,53,54,60,54,57,65,61,52,51,59,97,125,145,140,48,50,65,89,97,82,61,50,53,49,55,66,65,58,64,79,104,125,138,132,59,45,49,82,108,103,78,58,46,40,48,67,76,78,89,107,132,149,160,158,1
136,113,134,96,108,115,97,97,95,85,104,110,112,124,116,113,132,139,127,126,140,129,152,112,117,122,99,89,101,92,107,101,88,90,84,85,106,121,127,128,149,133,149,123,124,121,102,105,100,92,101,80,50,44,38,44,62,88,122,132,161,130,130,121,118,110,102,125,93,82,87,61,27,18,16,21,33,62,117,129,154,137,124,112,107,116,108,110,81,69,74,53,26,23,18,24,32,57,119,115,119,139,127,108,109,144,121,79,58,49,58,46,30,30,27,31,35,65,133,109,105,133,122,121,125,153,110,48,35,32,50,44,29,32,30,34,31,73,158,119,126,132,115,139,138,136,78,23,27,27,52,47,32,33,31,37,26,80,177,131,133,127,109,143,148,117,46,29,21,28,37,28,30,32,20,32,30,89,149,128,138,125,126,160,150,95,36,28,23,26,30,20,25,32,19,29,46,108,136,118,127,111,143,178,157,75,31,22,19,30,40,22,17,23,22,40,66,132,122,115,129,106,140,158,137,67,47,33,29,34,38,20,21,31,29,47,89,153,115,118,158,130,136,122,106,72,73,55,45,31,25,15,29,41,38,55,126,163,112,119,171,163,156,129,111,96,84,59,39,32,35,25,21,26,50,101,160,157,114,117,163,185,178,157,133,119,90,75,46,40,46,38,24,27,74,159,166,128,117,124,164,196,181,163,133,126,103,114,81,45,33,36,48,61,103,180,154,99,119,132,148,175,181,171,137,108,119,125,101,95,59,49,85,110,127,162,109,117,128,136,139,162,167,159,131,106,118,122,131,156,123,84,109,142,140,136,117,122,130,136,131,149,150,147,127,108,120,122,160,193,160,109,123,150,135,117,127,130,133,135,131,144,141,141,129,115,125,123,174,183,145,109,121,128,118,124,131,133,136,137,1
157,151,154,159,149,133,137,153,165,172,189,194,184,193,186,153,152,161,185,200,154,142,140,150,154,142,139,143,174,179,191,187,173,181,181,158,160,159,176,191,149,137,133,143,147,140,138,142,166,175,187,182,170,177,180,166,170,157,163,181,140,136,134,134,128,123,135,153,156,170,182,182,178,179,173,161,171,152,156,175,134,126,120,115,112,116,138,161,161,173,179,179,182,180,166,153,166,149,156,176,127,111,96,97,109,126,146,161,163,174,175,176,187,185,170,164,156,152,163,178,116,105,96,100,115,134,153,166,165,183,185,186,196,186,168,167,149,156,172,178,106,109,113,116,120,132,154,173,175,201,206,204,204,181,151,148,146,161,178,178,127,117,111,116,124,134,154,172,193,213,198,157,121,92,91,118,146,183,179,158,136,122,113,118,128,139,156,172,206,187,145,97,62,46,57,83,131,175,177,157,132,119,115,127,143,153,163,173,182,127,77,54,44,42,44,43,109,159,173,158,123,113,117,133,150,154,153,155,135,80,53,57,55,57,61,55,95,146,169,158,123,116,116,129,138,137,135,138,111,72,57,58,45,48,71,84,91,135,163,158,123,117,119,128,134,137,146,159,114,70,39,39,49,59,65,65,79,114,151,163,118,120,130,140,143,145,160,178,132,84,32,27,59,73,57,42,62,90,135,167,115,126,143,153,149,142,151,167,152,120,61,30,45,55,52,59,56,77,125,165,137,149,140,136,132,134,161,168,153,171,108,36,40,59,49,49,56,72,111,151,141,154,149,149,144,141,156,155,159,181,138,67,45,46,42,45,50,70,107,139,156,171,170,175,171,160,161,148,163,192,186,129,71,46,44,47,45,70,103,121,168,184,185,195,192,177,167,146,154,191,220,183,101,54,50,48,42,72,100,105,1
113,120,125,128,135,155,180,196,150,147,130,138,156,183,201,178,181,178,167,154,104,100,109,128,141,148,166,189,181,172,138,129,137,153,178,178,166,171,175,176,127,105,100,118,121,113,127,158,176,174,135,119,122,122,148,174,178,175,175,178,159,130,110,104,89,74,86,116,133,148,126,121,124,102,118,158,186,172,164,168,162,155,140,118,92,76,76,84,99,125,122,132,134,100,107,146,168,154,148,159,161,177,180,160,133,112,90,72,88,112,120,141,144,118,131,163,164,148,134,132,160,176,182,171,154,137,109,82,97,110,120,145,146,134,156,176,172,161,142,125,148,150,149,144,143,138,121,103,116,120,127,148,142,134,157,165,161,167,163,148,159,151,136,128,124,114,116,133,137,139,144,142,126,111,121,142,138,138,142,148,166,157,139,129,129,121,117,124,140,137,133,130,126,118,103,89,108,112,121,130,155,160,155,153,161,155,137,126,134,143,142,128,115,109,94,76,93,100,113,125,136,152,157,160,176,178,164,152,140,145,140,123,107,103,103,101,95,100,110,120,124,142,145,145,157,169,171,174,164,143,125,119,116,112,110,113,99,97,99,102,119,140,150,151,157,158,159,169,171,153,140,137,128,114,113,122,117,107,97,96,121,135,143,147,150,143,144,159,161,158,154,145,131,122,123,128,137,120,105,102,127,123,112,108,112,115,133,164,158,148,133,124,134,144,135,115,141,122,104,102,168,155,119,100,105,100,103,128,165,161,131,117,139,148,136,130,137,119,102,98,185,172,137,112,106,87,80,102,134,149,141,134,151,156,149,153,147,130,114,110,196,190,166,151,142,114,103,127,124,141,139,139,163,173,166,169,160,146,133,131,172,176,168,165,161,132,123,151,145,143,123,126,169,189,176,167,164,153,144,145,0
132,128,125,128,132,130,123,115,105,111,125,141,154,160,159,156,150,152,155,155,128,130,131,129,126,119,112,109,97,101,112,129,144,154,155,152,150,150,150,150,126,132,135,128,113,101,98,99,94,96,102,118,138,151,155,154,148,149,150,151,125,129,129,117,99,88,85,88,93,90,93,107,129,146,154,156,147,147,146,146,127,125,119,105,90,80,78,81,85,81,82,92,113,132,146,150,142,140,138,135,129,124,114,100,87,78,75,75,82,78,76,83,100,119,136,145,137,136,135,136,129,126,118,104,89,77,72,71,77,74,73,76,87,105,125,137,136,136,136,136,126,129,125,111,91,76,70,70,68,66,65,66,74,91,111,125,140,138,133,128,114,119,123,109,82,71,69,60,58,59,58,56,57,70,101,128,132,132,127,122,112,117,125,114,86,71,62,49,51,51,51,49,49,62,90,115,129,130,129,125,107,112,124,118,94,75,58,40,44,43,43,43,44,55,80,102,119,122,123,121,103,107,120,120,102,82,63,44,41,38,39,41,44,55,77,97,114,119,121,117,109,107,116,121,107,90,72,52,40,37,35,39,45,59,81,99,115,121,124,123,118,109,115,121,110,96,79,61,46,40,34,37,46,62,84,103,112,120,125,123,120,108,112,120,114,102,87,70,58,47,38,38,49,67,90,108,111,119,123,119,115,103,107,120,117,108,94,78,67,55,43,42,51,71,95,113,116,123,125,120,119,103,107,122,121,109,102,95,83,68,61,59,60,79,101,107,117,121,121,118,124,106,107,121,119,110,107,102,98,84,78,78,79,96,114,117,118,122,123,119,127,107,107,120,118,112,113,112,113,101,98,99,101,114,126,126,117,122,123,119,125,107,107,121,117,113,116,117,119,109,107,111,113,122,129,125,116,121,123,119,1
123,135,142,160,167,178,199,187,186,182,179,173,162,164,165,152,146,151,155,152,115,128,143,166,165,161,183,183,165,174,192,191,156,154,158,176,162,161,158,153,126,130,141,169,170,163,182,184,168,172,196,198,156,160,153,187,174,168,160,156,144,138,133,157,173,182,195,179,158,138,144,154,143,179,159,175,167,164,162,161,133,140,136,147,163,184,192,157,106,74,66,83,112,176,174,174,154,160,167,169,115,144,155,156,156,167,167,127,68,45,35,52,92,142,183,191,156,165,173,175,126,151,161,162,152,145,133,91,59,45,42,60,89,89,174,200,175,175,175,172,148,153,149,153,146,129,107,61,51,38,39,63,87,48,157,196,192,184,174,166,131,146,152,145,123,87,68,78,53,54,76,63,41,65,127,197,178,184,173,151,146,147,142,134,116,90,76,82,67,63,71,59,48,61,106,176,175,169,160,152,147,132,115,106,93,76,67,68,64,59,58,56,70,68,81,148,173,162,157,164,145,119,100,89,75,63,59,57,49,49,46,61,99,86,68,125,160,160,164,171,151,122,105,95,74,65,66,61,51,51,42,60,108,91,57,107,137,156,168,166,148,113,98,89,66,62,69,64,63,58,40,49,96,85,54,98,129,154,169,162,141,98,79,71,49,54,71,65,66,61,49,56,101,103,84,123,145,156,162,159,145,94,69,61,44,57,80,74,62,64,66,80,126,140,130,164,160,155,152,152,137,111,67,46,58,69,68,67,60,54,79,113,158,193,195,202,207,182,145,129,150,124,77,45,47,56,60,64,81,90,128,154,177,194,194,207,215,204,176,153,156,144,108,79,77,86,96,106,115,124,158,175,186,193,186,197,213,223,206,177,149,156,143,122,121,129,138,151,149,139,152,165,183,195,181,180,199,223,217,186,1
145,179,161,159,146,141,187,188,203,206,211,211,210,209,207,208,206,206,206,206,191,202,165,152,140,137,180,183,203,206,209,210,209,207,207,208,209,209,209,209,190,189,151,143,137,140,178,185,202,207,210,212,211,210,210,211,210,210,210,210,148,154,141,147,148,149,177,185,193,199,205,210,211,209,208,207,207,207,207,207,126,145,153,161,156,154,170,178,180,188,197,202,205,204,202,200,204,204,204,204,128,145,156,153,151,160,174,180,179,185,194,199,200,200,199,199,201,201,201,201,134,141,142,130,145,178,192,192,185,187,189,190,191,192,194,196,197,197,197,197,144,140,132,119,149,199,209,200,184,183,180,177,175,178,183,188,191,191,191,191,161,124,124,109,155,190,190,186,188,187,188,189,192,192,191,189,187,191,196,199,156,128,129,129,171,185,189,188,202,201,200,201,201,201,199,197,190,195,203,207,152,140,133,145,183,178,195,198,211,210,208,208,209,207,206,203,190,196,203,208,145,154,137,144,183,179,209,210,211,210,208,207,208,207,205,203,190,194,198,201,128,159,143,137,184,193,221,212,209,207,206,207,208,209,207,204,199,197,196,195,117,152,145,134,192,214,221,208,212,210,209,210,211,212,210,208,207,203,198,195,124,142,141,128,199,226,214,211,213,212,210,210,211,211,208,206,205,201,197,195,141,137,134,120,199,230,209,220,213,210,208,206,206,205,203,200,198,195,192,192,141,147,172,118,188,231,218,216,202,199,199,202,205,203,196,192,189,187,186,189,136,141,166,112,182,224,210,208,205,201,199,200,201,196,188,182,184,183,182,183,138,142,165,112,182,222,206,204,202,198,196,197,196,191,182,176,181,181,181,180,149,149,172,120,190,227,210,208,195,192,191,193,195,191,184,179,181,184,184,180,0
195,219,196,193,212,204,201,210,206,193,191,207,224,224,208,195,198,183,190,182,184,216,203,202,217,207,202,205,193,186,188,203,217,221,216,212,219,197,203,200,167,205,201,201,213,204,200,200,192,191,194,202,208,211,216,220,229,198,200,205,160,197,200,201,204,195,193,186,195,196,199,202,207,210,216,221,219,179,177,184,159,189,201,212,213,200,194,182,192,194,198,203,210,217,221,221,203,164,161,166,148,167,185,216,227,215,214,199,202,203,203,203,207,213,210,205,192,164,168,172,154,149,157,195,210,204,210,203,211,212,209,201,197,198,195,188,176,165,183,188,182,153,138,165,175,169,182,181,205,209,206,195,188,189,191,189,160,161,190,197,190,187,178,164,152,148,154,161,165,183,189,184,192,206,196,170,133,156,185,200,154,161,166,161,155,157,165,172,171,176,173,167,171,179,166,141,133,153,180,196,174,169,160,157,164,176,179,175,167,168,166,161,159,157,155,151,156,166,178,186,185,183,176,168,173,184,181,168,165,170,175,172,159,151,162,180,206,205,200,194,147,165,174,168,169,178,175,164,173,169,170,170,160,147,154,171,214,214,209,201,160,159,146,136,154,182,183,162,173,155,149,158,165,157,150,148,188,203,215,216,200,189,160,135,150,184,188,168,172,161,159,171,183,178,165,157,175,203,229,236,191,216,217,181,159,170,184,182,185,189,197,204,202,191,184,180,156,187,215,221,182,213,226,208,167,153,181,185,175,199,210,209,197,188,187,177,137,163,164,162,157,181,191,189,164,152,173,173,172,177,176,178,181,187,185,167,139,150,146,144,146,159,163,178,174,160,170,169,168,159,156,151,155,173,177,164,157,146,137,136,154,159,156,177,184,166,170,171,163,156,164,147,131,151,169,173,179,146,139,142,0
102,111,127,141,144,143,151,164,162,186,164,186,184,180,171,156,150,153,173,174,113,122,132,141,150,156,158,157,166,167,154,180,182,191,179,165,159,148,158,170,133,131,130,134,147,161,163,158,193,161,156,183,183,200,175,156,158,146,156,188,139,124,115,122,137,150,162,173,207,149,149,176,180,209,179,161,166,161,158,183,118,100,99,118,131,138,160,189,202,131,116,138,149,195,181,173,184,193,163,155,91,86,97,121,132,136,161,195,221,149,95,90,92,135,137,135,167,211,186,169,91,100,111,119,125,140,167,193,237,184,93,63,50,72,79,76,114,192,194,195,110,126,127,112,112,142,173,189,227,191,89,56,42,52,59,52,73,162,173,182,136,122,136,139,112,128,177,199,219,218,109,49,46,29,45,48,98,176,155,160,136,141,151,141,114,125,167,195,204,202,109,60,56,33,41,46,126,194,174,181,130,152,159,141,123,123,155,195,198,185,104,70,66,38,39,49,123,178,166,182,123,144,145,139,135,123,141,194,197,168,93,67,67,42,43,57,99,142,145,175,126,131,125,134,146,119,121,177,174,135,74,60,65,47,44,56,85,120,138,175,142,132,120,133,146,115,102,142,130,97,62,59,64,50,41,51,71,99,123,158,159,149,132,133,141,114,92,105,103,83,70,68,63,51,42,54,67,86,111,136,168,163,146,134,134,118,92,83,102,89,85,77,62,51,47,63,79,94,117,135,186,171,145,138,125,117,118,94,91,99,87,73,71,53,42,59,73,114,141,144,181,169,145,143,132,126,128,105,82,88,78,65,61,43,34,49,67,105,132,136,172,162,143,145,138,134,138,115,80,85,83,81,82,71,69,86,88,114,123,114,162,154,138,143,139,137,141,118,90,92,99,108,111,107,113,130,127,134,119,92,1
114,124,120,141,142,131,162,176,166,171,172,169,170,166,142,115,127,140,149,146,114,124,119,137,146,146,168,166,159,166,169,168,169,160,133,104,111,131,146,146,121,132,130,150,173,179,170,137,137,142,145,143,144,139,120,100,109,129,143,140,135,162,177,177,174,163,136,98,104,107,105,98,97,101,101,98,113,124,127,117,150,182,198,162,116,92,79,73,80,83,80,70,63,66,77,84,101,109,110,102,164,150,132,90,61,55,49,59,73,76,75,67,59,55,57,60,85,103,118,121,161,102,64,43,48,57,45,54,71,69,68,69,68,62,55,50,65,97,127,139,145,88,65,55,55,52,36,57,69,60,56,62,72,73,64,54,41,80,119,131,114,65,58,62,38,40,52,33,54,56,58,55,54,57,59,60,45,62,86,104,129,75,55,61,48,43,48,39,47,44,41,43,47,53,58,62,54,71,96,115,139,89,54,56,59,49,45,49,49,40,35,42,48,49,54,59,68,81,98,109,135,108,67,49,56,52,45,54,55,45,42,49,50,45,48,58,88,91,92,91,130,136,96,50,46,47,42,47,56,49,44,45,45,46,60,75,97,95,92,89,136,162,132,68,42,42,40,41,59,54,46,44,51,68,91,106,92,93,94,96,149,175,156,94,52,45,45,45,60,60,56,55,71,97,113,113,97,98,99,101,157,176,166,114,64,50,53,56,56,62,62,66,87,112,111,93,117,112,106,102,152,143,135,129,114,87,62,49,56,70,90,94,88,99,114,111,105,128,134,124,119,118,123,132,129,112,93,82,83,87,98,100,98,110,119,111,101,124,130,122,113,114,120,129,129,119,105,97,98,95,96,98,102,116,120,106,108,132,140,133,132,128,123,120,115,107,99,94,96,91,93,97,103,118,121,104,118,145,154,147,1
119,116,123,134,128,126,155,195,217,199,200,214,213,210,211,208,194,178,152,131,109,119,127,127,126,139,172,201,210,201,205,213,208,206,207,202,175,162,141,122,105,126,136,129,135,165,195,206,202,203,211,210,202,203,202,192,157,149,133,118,114,134,145,148,164,193,209,209,202,206,212,208,200,204,198,176,146,141,130,116,134,140,155,175,196,208,210,205,207,209,211,205,200,205,192,161,141,138,129,117,154,154,167,195,213,212,205,202,213,208,208,204,201,202,184,152,149,145,135,125,172,175,188,205,214,211,208,208,212,206,207,204,197,191,175,148,153,147,137,129,182,194,205,210,208,210,214,217,211,205,205,205,192,182,168,148,147,140,129,122,193,204,212,211,208,207,209,209,208,203,208,200,179,175,170,146,130,142,136,118,201,208,214,211,209,211,213,213,206,198,196,191,181,173,160,141,119,135,134,123,208,211,211,209,210,214,215,212,203,200,189,184,181,162,139,132,113,133,137,131,210,211,209,207,209,213,210,204,201,205,193,183,174,142,116,125,119,136,139,132,210,211,210,209,210,211,205,195,193,204,196,179,159,124,107,126,128,138,134,125,211,213,213,211,210,208,200,190,184,190,182,161,137,115,114,130,139,141,131,122,214,215,213,208,204,200,194,186,186,172,155,133,114,116,127,128,141,137,122,116,213,214,211,202,196,193,189,184,194,162,134,110,98,118,134,122,133,126,109,104,213,219,201,198,197,180,179,178,188,128,106,112,127,133,116,110,133,122,119,100,212,215,197,196,194,177,174,167,164,115,104,113,126,128,111,107,129,119,116,96,211,210,193,193,190,173,167,149,135,102,107,119,125,123,108,107,125,115,112,92,211,207,192,193,186,171,162,134,119,99,115,127,126,122,110,113,123,112,109,90,0
114,102,106,123,145,170,183,176,148,128,111,108,107,100,94,95,111,124,131,128,126,105,104,120,128,139,156,166,153,135,117,109,109,111,114,117,117,124,123,113,128,104,101,112,105,101,116,134,144,143,136,129,126,125,122,116,118,118,109,92,118,102,102,105,92,85,94,103,120,129,130,123,120,121,116,108,113,111,101,86,106,98,96,91,83,91,98,92,92,98,97,88,88,98,105,104,109,109,104,95,91,87,84,74,71,88,97,84,71,78,82,82,82,83,82,78,96,98,99,97,84,79,82,80,72,75,75,64,53,61,76,91,93,82,68,60,80,83,88,92,88,83,94,104,88,68,55,46,40,42,57,79,88,81,74,74,72,76,83,90,90,109,108,99,75,48,44,34,37,39,49,66,78,78,74,71,73,81,87,87,118,119,95,74,51,35,44,42,39,41,50,61,67,66,67,70,75,81,83,81,133,117,75,52,36,28,46,50,41,44,50,54,53,51,56,64,71,76,78,75,119,99,60,50,45,38,52,52,47,46,47,49,48,44,47,53,61,68,76,80,103,81,50,56,61,52,57,53,52,47,46,48,49,45,42,43,51,64,82,97,105,78,46,57,66,56,58,53,55,49,46,50,52,49,43,41,53,70,97,120,116,82,44,54,64,52,56,54,54,50,48,51,51,46,44,46,68,86,116,142,122,84,45,55,63,50,53,53,51,50,51,51,46,43,46,53,82,99,128,153,126,103,69,42,38,46,52,52,50,53,48,50,57,53,53,66,86,130,155,162,131,111,78,50,40,42,45,44,49,52,49,54,66,64,64,74,113,151,161,157,141,126,99,70,54,51,51,50,58,62,60,70,87,90,88,93,126,154,144,125,144,135,113,87,69,63,63,62,67,72,71,83,105,111,106,107,126,150,123,93,1
163,177,188,179,152,120,89,69,72,58,96,133,164,181,177,202,218,224,222,212,162,171,178,172,158,140,120,107,94,80,104,123,140,155,165,202,221,216,201,184,147,155,161,164,165,166,163,157,133,130,149,156,152,149,155,185,197,183,167,159,135,145,157,163,169,175,177,175,148,147,159,165,158,152,157,176,190,178,173,180,131,147,165,171,169,165,158,153,119,111,100,107,118,136,166,187,191,181,180,189,118,137,158,170,168,157,140,127,87,81,63,72,92,121,164,181,173,166,162,165,105,120,140,156,161,150,124,99,65,76,66,76,87,103,144,156,165,165,162,158,111,117,129,144,152,137,103,70,48,71,65,69,68,78,124,140,156,163,165,157,123,143,149,143,134,109,73,49,40,53,62,59,58,72,98,118,160,171,167,158,171,193,193,156,109,78,50,26,31,38,46,46,45,55,80,100,163,176,175,170,203,223,222,156,71,43,46,34,41,40,42,47,49,59,81,103,160,176,182,182,198,210,217,156,53,22,48,58,42,33,30,38,48,61,85,110,153,174,184,189,170,180,207,179,82,25,36,51,45,35,28,36,52,73,101,124,159,175,179,180,139,152,195,204,136,61,37,35,50,46,42,45,61,90,118,138,167,174,166,155,130,142,172,193,165,106,63,49,47,53,51,49,63,94,120,130,157,166,159,148,147,149,153,162,161,128,89,73,62,73,76,69,81,111,133,137,138,155,163,166,143,163,155,159,171,169,165,150,120,105,114,128,124,133,149,146,141,159,164,161,156,176,169,172,185,190,197,191,188,172,178,177,141,121,139,159,155,171,170,160,163,180,170,172,187,197,215,219,223,210,216,216,169,127,136,164,165,181,179,167,170,179,161,162,180,193,212,215,213,206,217,224,195,152,137,148,152,169,168,155,1
105,120,133,164,149,148,141,161,199,188,159,160,164,157,146,120,106,81,98,135,122,131,137,158,140,138,134,153,195,183,159,161,161,148,145,130,126,110,118,129,138,146,151,163,149,147,145,159,166,174,159,153,154,158,163,145,128,126,130,125,132,140,147,152,143,138,136,140,142,171,164,153,161,182,189,155,136,140,146,145,136,141,145,139,138,133,135,134,148,166,163,173,189,200,200,171,143,141,139,144,136,138,143,129,139,142,154,153,150,143,143,185,211,200,200,195,145,138,121,115,114,119,129,116,133,136,150,140,136,125,123,162,186,180,186,185,146,154,133,109,116,125,144,129,144,136,138,119,123,131,119,125,142,154,162,144,124,152,139,105,150,134,139,141,140,136,124,135,126,117,126,129,112,114,130,130,146,148,149,148,144,141,149,138,134,143,139,147,140,123,125,133,131,140,154,149,150,147,145,146,136,145,156,136,129,145,147,155,136,125,130,139,139,145,153,151,145,138,129,128,140,146,159,144,136,144,140,149,128,133,143,146,136,128,131,137,145,139,131,129,157,150,163,161,155,146,131,139,147,151,151,147,138,126,123,130,148,148,148,148,172,157,167,171,167,155,132,137,169,159,139,135,145,141,131,133,139,140,141,139,167,158,165,161,159,157,139,140,158,149,128,127,149,148,135,137,136,132,125,120,153,153,158,143,141,154,144,141,133,138,130,134,152,145,131,140,149,140,129,125,170,174,140,126,140,155,166,156,148,143,130,146,144,157,146,145,139,137,141,146,175,183,156,148,162,173,179,167,142,140,132,148,143,153,141,142,142,149,164,181,152,165,147,147,162,168,168,154,128,133,133,153,145,150,138,143,158,166,180,195,121,137,126,132,147,149,147,132,112,123,132,158,149,150,141,150,169,171,176,179,0
92,70,61,53,61,82,77,61,49,46,63,84,71,45,56,92,101,76,54,49,106,88,74,60,64,84,90,83,66,63,54,43,36,40,52,62,99,78,62,60,114,106,86,67,66,80,92,94,78,76,59,37,35,55,75,81,105,96,88,87,110,114,92,75,71,71,79,75,53,55,53,47,43,52,76,98,107,118,127,126,105,124,101,91,89,71,66,54,40,49,55,55,55,66,81,91,95,129,157,158,100,133,111,107,106,76,66,50,50,67,70,63,81,112,113,91,90,135,170,167,88,133,110,107,105,71,69,60,58,74,82,85,105,130,124,99,98,144,174,163,73,126,102,96,93,60,68,69,80,90,109,129,136,130,122,118,106,148,173,163,81,79,93,92,72,72,83,75,86,109,108,144,145,121,149,149,135,141,150,155,85,75,79,77,62,72,96,102,94,106,96,124,133,124,161,167,142,151,161,165,93,76,70,66,58,70,101,121,114,110,88,109,114,105,140,153,147,154,161,162,101,84,72,68,63,72,99,124,128,109,89,109,101,73,96,122,148,148,150,151,109,95,77,67,69,79,104,133,137,107,92,112,96,58,80,126,147,143,141,147,116,106,78,57,64,82,110,140,147,114,98,104,87,64,93,148,151,144,139,142,119,116,80,46,51,72,94,119,135,111,94,80,70,79,114,159,156,151,144,141,120,122,83,40,41,57,69,85,102,93,79,54,57,94,132,162,159,158,155,148,103,132,102,56,39,49,67,60,73,66,63,53,74,123,138,125,149,143,154,152,97,127,109,78,63,59,60,47,48,47,53,58,89,137,148,126,142,140,149,148,94,124,121,116,107,84,67,48,42,49,61,82,118,159,164,132,138,143,145,143,88,116,125,142,142,108,81,60,59,72,84,109,138,167,171,136,138,153,145,139,1
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104,102,106,105,90,71,74,90,94,95,111,130,133,125,132,148,129,95,57,49,119,111,110,111,105,91,86,92,92,92,105,120,122,118,129,149,152,132,93,64,108,97,93,99,102,95,85,81,78,76,83,94,97,101,124,151,177,176,141,97,101,95,92,100,109,108,101,92,79,76,76,77,76,83,108,137,169,181,160,124,94,94,93,96,102,105,102,95,97,95,95,91,81,75,86,102,120,133,131,119,85,90,88,80,76,80,82,79,90,94,100,101,92,79,76,80,72,83,89,95,98,104,97,80,70,75,79,75,73,76,81,86,84,81,81,84,72,80,82,86,104,108,96,75,65,72,76,71,77,72,68,68,70,75,85,92,100,107,101,95,88,100,88,77,82,75,73,91,108,112,108,94,85,88,97,102,108,107,106,105,87,102,97,87,88,83,79,91,102,105,103,96,92,96,99,98,105,104,103,102,84,104,107,99,99,94,88,91,90,92,92,92,97,100,97,91,96,95,94,93,85,103,113,109,106,102,95,90,84,87,91,96,99,102,98,95,99,98,97,97,90,97,108,113,109,105,100,91,91,94,99,103,105,106,108,111,114,114,114,113,99,90,98,111,109,103,101,93,94,95,99,104,106,107,112,120,122,123,124,124,110,82,86,108,108,101,102,98,93,90,92,100,108,110,115,121,123,124,125,127,119,78,79,106,107,100,102,102,96,89,89,101,115,119,121,122,125,127,129,131,120,80,74,107,120,107,98,96,94,95,91,97,114,116,118,128,124,122,119,118,126,83,75,105,118,106,99,99,102,102,98,103,117,117,115,123,133,129,124,121,134,88,76,102,114,105,101,103,111,111,107,111,122,116,111,116,130,124,117,112,142,93,76,100,111,103,102,107,115,116,113,116,125,116,107,109,121,115,105,98,0
232,200,181,164,138,139,151,147,154,146,136,125,106,94,104,122,118,117,105,86,170,155,167,180,168,156,160,158,135,126,117,121,133,144,155,162,168,168,155,137,152,141,159,185,178,155,142,135,121,135,155,177,199,210,208,198,203,204,197,186,196,178,171,176,168,146,127,120,144,180,217,232,232,229,221,211,210,212,210,204,215,208,191,172,156,146,149,163,190,216,230,222,208,205,209,212,212,214,212,206,188,198,193,172,152,143,166,210,216,219,215,206,201,203,207,208,210,210,210,209,167,167,165,170,163,141,158,215,210,209,209,215,218,213,208,206,206,206,208,212,168,143,133,164,181,149,150,205,199,199,206,215,215,206,203,210,209,208,209,211,163,157,136,151,160,141,168,219,213,203,216,207,205,211,197,209,208,201,201,207,163,164,137,133,130,117,146,189,203,212,231,211,200,209,197,201,204,202,204,208,122,143,135,128,116,98,116,137,165,202,234,216,199,208,202,200,205,209,210,206,90,119,131,139,124,100,108,115,121,169,218,222,208,201,196,197,199,208,209,202,83,95,108,128,113,88,96,100,89,130,184,224,220,191,181,185,189,200,206,200,87,90,104,133,124,96,92,80,67,90,137,209,223,186,174,178,188,199,209,211,99,102,116,148,151,140,130,93,68,71,98,178,208,175,163,156,177,189,208,222,90,89,93,116,132,151,154,108,87,79,83,152,188,157,140,121,152,167,196,226,88,101,93,86,81,99,125,114,111,115,129,112,120,112,131,131,131,121,124,146,60,86,101,103,87,88,112,107,117,124,135,112,106,90,103,105,102,99,104,120,47,68,89,107,95,84,102,99,100,112,125,105,94,80,91,95,92,93,102,115,61,56,61,91,99,93,101,92,80,94,106,99,90,85,92,96,76,78,90,102,0
99,76,68,71,58,59,119,196,212,211,199,175,155,150,155,160,161,160,164,172,80,63,70,101,121,132,166,209,212,209,200,182,162,148,143,144,144,151,159,166,65,67,95,144,180,196,209,223,213,205,200,194,176,153,139,140,133,143,147,142,67,93,133,175,201,213,220,225,215,204,199,201,189,167,152,153,142,149,142,122,77,112,158,191,209,218,218,216,215,201,194,197,191,173,164,168,155,160,149,126,87,120,165,201,224,231,220,207,211,200,194,192,187,176,172,175,158,160,153,140,104,136,178,211,229,230,217,204,206,205,202,198,193,188,185,183,169,162,152,146,122,155,196,218,220,214,208,209,204,210,213,210,205,203,200,195,192,175,154,146,138,174,211,223,219,213,212,212,206,211,212,208,208,213,213,210,190,186,148,133,164,191,216,220,214,207,207,207,209,212,212,210,209,213,216,217,193,171,156,134,198,211,222,219,211,206,206,209,210,208,208,209,208,208,214,222,200,151,160,128,213,217,219,214,208,206,208,209,207,204,205,208,208,206,212,220,189,111,130,88,215,214,214,213,208,204,205,208,209,207,208,211,211,209,208,210,178,95,107,63,213,213,215,217,213,207,206,208,212,215,215,214,212,209,198,185,153,97,99,66,200,201,207,212,209,203,202,206,208,214,213,206,203,198,174,146,99,87,86,76,176,179,188,196,195,189,191,198,199,208,206,193,189,183,150,111,70,96,96,102,162,167,172,172,169,166,166,166,172,174,162,155,165,157,123,96,88,114,118,103,165,170,170,159,142,127,121,121,133,132,120,112,117,112,98,93,120,134,124,101,151,154,153,138,115,97,91,91,88,84,73,68,70,69,80,106,146,144,115,85,135,137,133,123,106,92,84,82,66,57,50,52,57,58,83,128,158,142,101,67,0
138,135,132,132,127,121,117,119,125,130,130,127,133,139,134,123,116,122,131,139,137,129,126,129,133,129,126,125,129,126,120,117,124,132,135,133,124,126,130,134,127,119,116,124,135,139,136,134,133,124,117,120,126,130,136,141,133,132,131,130,116,110,111,122,132,138,140,141,135,127,127,136,139,134,134,139,136,135,133,132,116,113,114,121,126,127,131,135,135,130,131,139,138,132,130,135,130,132,134,137,122,119,117,118,116,113,114,118,128,122,118,116,117,118,124,130,125,129,135,140,120,112,106,105,104,100,98,98,105,103,98,91,94,105,116,121,124,128,133,138,110,99,91,92,95,94,90,87,82,88,86,79,84,100,111,113,127,129,132,136,104,94,83,82,88,90,83,74,69,72,68,58,56,69,86,97,113,120,129,138,103,93,86,86,91,91,82,72,56,56,54,51,48,56,72,86,108,116,127,137,98,90,82,83,87,85,74,65,55,48,46,47,45,46,59,76,104,112,125,136,98,90,81,79,81,79,70,62,67,55,49,50,48,44,57,76,106,114,125,133,105,94,83,79,77,76,70,65,72,57,49,51,49,47,62,82,109,118,129,136,107,98,84,77,74,72,68,64,65,55,48,50,52,58,72,89,111,121,134,141,113,103,92,84,79,76,70,66,66,63,61,61,67,76,88,97,113,124,138,145,122,114,105,97,93,88,80,74,75,78,79,77,83,94,104,105,115,126,139,145,134,127,122,121,116,106,98,94,95,88,95,101,99,102,116,124,123,134,146,151,141,133,127,125,124,119,116,115,106,99,107,112,110,114,128,135,132,138,143,144,145,137,128,126,125,122,124,127,117,112,119,123,119,125,141,144,140,140,139,137,149,139,131,126,122,119,121,124,120,116,122,126,122,129,143,147,142,139,137,138,1
127,141,154,155,171,173,194,140,123,110,88,128,152,165,155,188,189,173,158,156,127,139,148,155,179,174,178,129,103,115,119,150,156,165,158,174,166,162,163,172,136,148,144,139,153,139,139,121,123,158,182,184,158,166,166,160,155,159,171,184,161,178,166,143,137,126,140,167,171,210,233,205,161,174,188,170,154,160,168,176,157,174,171,156,150,152,164,204,183,213,229,193,159,177,197,177,166,174,183,186,148,158,167,173,172,184,168,182,159,175,187,159,150,154,167,150,164,176,187,191,161,164,181,191,179,197,167,159,151,152,158,144,157,142,141,134,152,159,162,160,157,158,179,181,151,177,155,149,162,155,157,153,183,157,150,156,173,171,161,148,140,148,159,173,178,166,161,174,172,155,164,162,169,161,144,186,201,186,174,173,151,147,160,179,175,158,153,160,171,145,154,166,142,149,184,181,200,195,194,200,167,148,158,172,158,150,160,165,166,153,144,163,146,154,202,178,187,186,190,194,168,157,172,175,149,149,163,152,156,165,145,155,171,163,167,172,188,181,176,174,157,168,192,183,151,156,159,129,157,153,162,164,167,150,133,166,179,169,162,161,156,167,176,159,142,160,172,150,177,139,182,190,153,147,148,167,169,166,170,182,161,154,142,134,141,162,174,172,191,152,170,193,179,179,181,163,175,182,196,214,160,146,131,139,160,162,153,153,184,175,137,171,223,219,193,151,164,174,192,207,159,129,137,163,186,180,151,148,168,175,145,178,189,187,173,158,172,159,164,176,170,159,156,144,158,180,161,140,182,186,151,169,170,171,168,166,150,141,145,157,172,170,165,141,149,177,165,147,186,190,158,166,158,160,161,171,151,146,146,152,161,148,157,161,167,171,160,167,175,182,163,171,161,163,155,166,174,175,167,160,0
54,61,77,95,109,117,129,139,119,92,88,91,106,120,116,130,157,138,125,128,91,102,124,137,126,104,99,107,93,75,78,74,79,94,106,134,153,141,132,129,124,140,160,161,127,85,68,76,76,72,83,77,69,79,97,131,151,152,146,137,135,153,164,147,110,77,66,67,73,76,95,89,78,78,83,107,135,148,152,141,129,146,146,119,93,85,77,64,66,65,81,78,74,75,66,76,101,123,137,132,111,121,113,89,78,79,66,45,56,48,56,53,57,65,56,61,76,100,119,121,95,85,72,65,64,60,47,31,41,35,44,41,46,59,54,61,72,90,108,112,89,63,46,51,56,48,38,36,27,29,45,41,43,53,51,61,75,87,99,104,86,68,55,48,47,54,49,30,27,31,39,44,44,46,52,58,78,83,93,104,99,64,40,39,46,54,48,31,22,27,35,42,46,49,57,66,72,91,105,107,133,87,54,52,62,72,67,47,29,31,38,42,43,43,51,61,64,93,113,110,135,103,72,57,58,71,69,47,39,38,41,43,40,38,46,59,77,94,108,108,113,108,92,63,50,65,69,49,43,39,41,44,42,40,54,73,107,102,103,110,99,108,107,79,57,65,70,55,58,51,49,51,45,43,60,84,122,110,109,124,106,105,107,95,72,64,63,57,74,64,59,57,51,49,71,98,115,115,123,137,143,126,124,127,106,82,75,76,72,62,58,60,58,61,87,119,107,121,135,142,111,125,139,145,134,113,93,81,82,72,74,91,106,114,124,135,110,132,140,137,94,108,127,140,139,127,110,99,92,84,85,99,111,118,128,140,122,140,141,133,100,104,110,117,117,109,95,84,75,71,73,82,90,95,107,120,134,145,138,123,124,113,98,88,84,77,66,57,49,49,52,59,63,68,82,97,136,145,134,114,1
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120,107,86,106,131,131,121,92,83,157,156,121,78,35,46,68,91,137,185,206,108,98,83,109,134,132,123,101,103,154,133,90,60,38,53,71,104,155,184,178,99,92,87,121,142,136,131,116,147,159,113,66,49,39,48,57,105,177,198,173,97,94,95,133,155,145,142,134,177,148,93,61,56,46,42,50,114,195,206,164,94,94,96,136,160,157,158,150,167,107,59,53,59,50,46,69,137,204,194,138,90,91,89,124,156,165,170,156,140,71,37,40,44,40,46,82,145,192,184,141,95,94,84,110,147,166,171,149,109,56,41,35,31,36,45,81,151,177,177,159,104,101,84,103,139,164,168,139,81,48,52,41,30,43,52,83,170,173,166,151,124,125,124,113,144,150,153,140,70,51,63,42,37,46,44,99,175,167,156,148,132,137,145,139,163,149,135,118,65,39,52,44,45,54,61,126,189,176,161,151,140,141,154,155,172,140,113,93,68,39,46,49,59,69,88,159,183,168,151,143,149,141,147,152,173,136,104,86,54,33,35,37,52,70,95,154,160,153,146,141,159,141,140,149,175,139,107,86,54,48,43,40,61,90,113,147,148,152,157,157,158,141,139,145,173,139,106,83,63,66,60,60,88,118,135,147,141,151,161,164,156,145,143,139,162,137,113,95,68,69,60,76,111,129,137,138,145,154,162,165,163,154,150,137,155,138,128,117,91,85,77,106,142,149,148,149,160,165,170,172,167,140,150,138,141,159,134,128,120,107,117,154,172,162,162,179,189,189,188,188,158,130,141,134,142,168,151,150,148,145,156,176,178,165,168,187,200,199,197,196,166,135,142,133,142,168,156,158,163,174,187,188,172,159,168,189,203,201,199,196,179,144,148,138,143,166,152,156,159,181,195,185,163,155,170,191,201,199,197,194,1
152,157,160,154,145,141,143,146,154,164,164,153,146,149,151,147,160,163,170,177,140,148,153,152,145,141,143,147,164,167,163,153,147,148,153,156,161,162,163,166,131,142,153,155,147,141,145,153,156,155,154,153,150,148,152,160,171,169,166,162,126,141,158,161,149,140,148,161,151,149,153,160,157,147,144,150,173,170,161,151,118,135,154,160,148,138,149,167,166,161,160,163,157,144,139,143,160,159,150,136,120,129,143,152,146,140,150,167,166,159,152,148,145,145,148,153,156,157,149,137,144,137,138,149,154,152,154,161,158,155,146,137,137,148,155,158,153,156,151,138,173,153,142,153,165,165,158,157,165,166,157,143,141,150,151,146,138,145,141,129,177,150,137,151,158,148,141,146,160,157,156,153,146,138,144,155,153,140,129,126,169,157,156,155,146,144,149,149,155,161,161,149,139,140,150,160,151,141,134,133,168,165,171,162,144,153,165,152,162,179,177,148,128,132,142,145,153,150,149,152,174,166,174,170,155,163,170,151,164,190,189,152,126,130,138,134,135,137,144,152,165,163,176,175,155,148,152,148,154,181,186,160,139,144,152,149,136,138,146,156,144,162,176,167,146,128,129,144,157,173,179,168,156,155,160,162,155,154,159,167,133,166,166,147,147,140,131,144,169,167,168,170,163,153,154,164,153,149,148,155,135,170,152,128,159,172,150,146,171,156,154,166,164,149,151,166,156,149,146,151,159,150,149,160,169,165,151,139,152,152,146,149,163,166,166,173,155,149,145,146,157,155,159,167,169,162,152,145,155,153,139,131,146,161,170,180,159,153,149,149,156,161,171,176,170,158,152,152,158,159,139,121,135,158,171,177,164,157,153,153,157,164,176,180,172,158,152,153,159,168,150,127,137,161,168,165,167,160,155,157,0
123,130,126,113,110,116,119,114,101,100,100,105,112,120,126,129,134,131,127,126,120,128,131,122,117,117,111,102,96,101,108,116,120,121,120,119,126,123,120,120,112,121,124,118,113,111,105,96,96,105,114,118,116,111,107,106,130,129,125,126,105,109,109,102,100,104,105,103,107,110,112,109,101,97,97,101,122,120,118,119,104,105,104,99,97,102,107,109,113,114,113,106,99,97,101,106,119,118,117,118,112,115,118,117,114,111,109,108,111,113,115,113,110,110,112,115,123,122,120,122,125,128,133,134,130,123,117,113,111,111,111,111,112,113,114,116,111,110,110,111,137,138,139,140,136,129,124,124,116,110,104,102,103,107,111,112,116,114,114,115,152,137,129,133,133,128,127,134,124,118,104,106,118,104,93,111,117,119,120,121,142,129,123,127,130,126,126,133,127,128,121,125,136,125,110,117,126,127,130,132,130,120,117,123,129,127,128,134,136,140,136,136,145,139,125,124,134,134,135,136,123,116,116,124,131,133,134,137,145,147,141,134,137,138,132,127,127,125,125,125,118,116,118,127,135,138,138,139,145,144,143,136,129,130,130,123,116,114,113,112,118,118,120,129,137,141,139,137,138,137,146,145,128,122,124,119,119,118,118,117,120,122,127,133,139,143,141,136,135,129,141,145,122,112,122,126,126,125,124,124,124,127,132,137,143,146,143,136,137,125,135,139,112,104,124,137,123,122,120,119,106,122,138,143,142,138,135,135,141,147,150,131,108,111,125,126,132,126,118,114,101,120,139,142,138,135,137,141,144,143,141,127,114,121,129,123,125,120,115,112,102,123,141,140,132,130,135,141,144,134,127,118,116,129,130,116,119,117,114,114,110,128,140,135,128,128,131,133,136,124,116,110,114,129,129,111,117,117,118,119,0
145,180,179,152,146,139,126,126,124,118,112,110,107,108,115,124,135,161,189,199,139,173,173,147,139,131,119,120,116,112,108,107,107,109,117,126,138,163,189,200,136,170,169,144,134,124,110,113,103,100,100,102,105,110,119,129,147,169,194,202,139,171,170,146,133,118,104,106,93,91,91,97,102,107,118,130,158,179,199,207,144,173,170,146,135,117,98,99,89,86,88,93,99,106,119,130,166,184,201,207,146,169,164,143,135,117,95,95,91,87,87,93,100,108,122,135,171,186,202,205,145,165,157,142,139,123,98,95,95,91,92,96,104,114,131,144,177,191,204,207,145,162,154,141,144,129,104,99,99,95,94,99,109,121,140,154,183,196,208,210,146,162,156,139,140,137,118,103,100,98,98,106,117,135,155,171,201,202,204,205,163,170,158,144,144,142,129,123,117,112,113,122,138,153,174,189,204,204,204,206,180,175,158,149,153,152,147,151,143,139,139,149,165,180,195,206,207,207,206,206,185,174,157,155,164,163,164,178,172,167,167,178,192,200,208,211,204,205,205,205,189,181,168,169,178,175,177,194,194,190,190,199,207,208,205,205,201,201,201,202,195,194,187,187,189,184,184,200,205,202,202,207,208,205,200,197,198,199,200,202,196,204,203,198,197,191,191,203,208,204,203,204,202,197,196,198,200,201,202,203,191,206,209,202,198,195,196,207,207,203,200,198,195,193,195,201,204,204,204,205,192,216,207,203,202,196,205,204,206,204,198,193,189,189,189,190,207,207,207,208,192,217,209,204,202,194,200,198,201,201,198,196,194,194,194,195,205,205,205,206,192,217,210,205,202,192,195,191,196,198,199,200,201,202,201,201,203,203,203,203,188,214,209,206,203,191,193,188,193,197,201,205,207,207,206,205,202,202,202,203,0
116,113,127,121,134,116,123,121,117,118,115,113,120,130,131,123,109,116,114,104,106,122,134,124,129,129,130,115,87,83,80,83,94,109,122,129,117,113,107,101,115,130,133,130,113,112,99,90,73,64,61,69,75,80,92,105,117,111,106,103,132,126,113,125,93,74,56,71,74,63,64,79,81,67,63,69,92,101,100,90,133,122,101,105,75,64,53,70,69,56,60,83,88,72,57,58,82,110,119,98,129,132,109,84,62,72,69,63,67,54,55,71,77,65,58,61,73,113,136,123,125,128,112,71,63,69,70,48,65,57,56,61,60,54,57,66,51,87,123,135,115,103,95,66,70,59,61,47,54,55,60,60,54,51,61,75,57,80,120,153,94,114,111,67,73,57,56,50,51,51,55,59,55,52,65,83,71,76,112,143,95,118,121,86,70,58,60,60,53,44,50,68,74,66,66,76,58,73,109,132,97,121,131,111,65,58,63,68,55,47,54,71,74,61,60,70,45,74,112,126,106,124,135,131,71,64,66,71,60,67,73,69,56,49,59,73,51,89,119,119,114,122,131,138,84,74,67,68,65,82,84,67,53,57,67,69,68,101,117,101,108,108,116,125,99,78,62,62,60,72,72,63,66,74,69,53,76,103,105,86,103,100,109,116,120,85,67,68,60,60,63,71,79,78,68,59,85,106,100,86,108,106,117,121,144,101,82,86,68,63,71,88,87,72,71,84,102,116,105,93,125,139,141,136,134,123,111,108,87,77,72,76,74,72,86,107,115,107,89,80,125,135,133,127,128,128,129,132,114,107,102,101,99,98,107,118,113,104,81,66,113,119,120,116,117,125,133,137,132,132,126,118,117,120,121,117,116,107,82,63,101,106,115,117,113,118,125,121,135,140,135,122,121,129,123,106,114,109,88,69,1
164,172,152,150,142,126,133,120,132,138,166,179,162,157,159,146,143,151,143,132,145,145,134,151,154,147,168,174,133,136,155,163,145,138,139,127,142,150,138,122,153,148,143,162,158,136,145,159,131,137,153,157,139,130,129,123,134,146,139,126,179,170,162,160,141,116,117,128,142,153,166,160,139,123,123,125,133,150,151,142,168,163,158,145,135,135,143,156,166,176,173,151,122,106,112,129,167,177,171,157,130,135,151,148,149,158,155,161,171,177,159,130,111,106,122,152,217,216,192,164,126,124,149,153,151,146,122,127,151,154,134,114,116,122,138,167,225,218,189,159,155,130,140,138,131,119,99,118,130,134,117,108,123,128,133,152,195,190,167,146,134,146,132,115,117,114,111,124,133,120,110,120,136,134,137,156,161,162,172,154,115,123,123,122,123,119,118,125,130,123,115,120,126,118,121,142,166,165,170,155,123,117,124,132,125,120,124,127,114,116,115,117,118,108,113,135,147,146,145,130,136,115,120,130,118,117,132,137,113,120,120,121,120,112,115,133,120,127,127,119,128,107,112,126,117,120,137,143,130,135,130,125,127,121,118,127,124,145,148,149,121,113,120,131,130,127,131,132,128,132,123,117,125,127,124,128,151,172,167,168,118,126,130,135,141,136,126,126,120,127,120,113,122,131,133,138,163,172,146,140,105,123,124,124,141,140,129,132,133,142,133,120,125,134,139,145,161,158,116,109,115,97,101,112,135,152,141,138,145,151,148,144,149,145,132,125,124,128,116,104,111,97,104,110,126,133,113,110,146,148,135,123,125,122,116,117,117,123,115,106,98,94,104,105,115,110,83,80,132,133,120,106,102,100,99,104,117,126,124,119,84,89,100,100,108,97,67,72,110,116,110,102,100,94,89,95,120,132,134,132,0
141,125,139,183,178,213,205,166,190,206,199,174,176,200,197,170,184,197,205,195,143,145,162,193,177,194,192,179,201,202,191,173,168,177,175,164,166,182,196,203,160,165,172,191,183,189,194,208,216,207,198,193,184,173,164,161,152,163,184,202,165,158,142,152,169,174,177,203,217,214,214,218,215,197,175,161,145,148,166,189,172,160,140,142,171,171,174,200,206,213,218,220,224,221,196,167,147,141,150,171,163,163,161,160,188,186,199,224,203,214,214,207,217,230,216,186,163,150,145,151,149,150,156,149,175,180,205,220,205,217,215,205,210,226,223,205,183,166,149,142,173,159,154,136,164,176,203,204,204,214,216,208,208,215,218,212,191,174,155,144,183,162,155,140,174,186,205,197,213,206,207,217,218,212,212,220,218,195,160,143,189,168,161,154,188,201,217,211,213,207,207,213,213,208,209,217,222,203,165,139,178,167,164,161,192,209,218,206,215,208,208,212,211,207,208,215,220,208,173,140,156,163,162,156,182,213,215,191,212,208,209,213,214,210,210,213,219,214,182,146,148,167,161,147,166,215,223,198,204,204,207,213,214,211,211,211,220,218,186,149,156,170,153,138,147,204,222,215,199,201,205,209,211,211,210,209,214,210,183,155,167,168,147,147,144,181,197,214,206,207,207,208,209,211,212,212,206,201,180,167,177,167,150,167,154,165,172,202,215,214,212,209,209,213,216,217,207,198,181,175,200,202,183,184,166,162,156,179,197,206,211,205,196,194,197,199,203,199,191,182,200,206,187,184,167,169,163,180,186,190,195,194,184,177,180,187,206,198,186,177,188,202,184,173,157,169,162,171,174,172,178,185,177,165,170,186,207,195,180,169,176,197,177,161,146,167,159,161,167,162,172,186,181,166,175,198,208,191,172,161,0
153,156,159,176,183,146,118,130,138,137,157,146,134,108,106,93,151,158,149,136,149,150,148,155,162,152,133,130,131,122,142,145,138,102,97,86,123,135,139,138,149,144,140,140,146,160,157,136,139,123,145,159,160,120,105,89,109,130,152,161,153,142,145,148,146,163,167,143,143,130,154,170,181,148,122,87,86,120,154,160,154,139,149,163,153,150,154,147,139,138,162,171,193,179,151,99,74,109,150,152,153,139,146,161,151,133,136,148,157,167,194,195,216,218,204,156,94,105,138,155,157,147,141,145,143,127,130,157,184,196,223,219,231,232,239,217,145,101,106,139,164,159,138,131,138,131,137,169,188,196,223,217,216,210,234,237,216,121,91,127,154,157,138,128,144,154,167,193,193,196,206,212,210,208,218,232,227,155,105,131,138,148,153,157,168,174,179,189,196,198,205,211,211,209,216,226,224,181,120,110,132,142,167,185,186,190,194,190,200,201,206,211,213,212,214,218,226,215,137,82,141,145,171,189,184,192,205,199,204,205,208,212,214,212,210,208,231,236,142,59,147,146,165,180,177,190,208,207,207,208,209,211,211,212,208,204,231,235,134,51,142,144,159,173,181,193,207,208,208,210,209,208,209,211,209,205,226,225,130,56,143,151,157,169,187,198,200,206,205,210,211,206,205,210,211,207,218,221,140,74,152,162,158,166,192,198,194,204,204,210,210,205,203,209,211,210,213,225,154,88,172,148,145,157,165,189,208,200,203,208,210,207,206,208,208,205,220,211,159,109,151,129,130,146,156,182,205,201,197,203,207,206,207,211,214,211,218,210,169,134,154,133,134,147,150,170,193,193,196,202,206,206,208,213,215,214,215,204,177,164,166,144,144,153,148,161,182,184,201,206,209,207,207,210,212,209,211,194,180,182,0
180,168,154,150,144,135,125,120,123,119,126,144,156,152,147,149,126,124,121,119,198,188,177,172,167,158,153,151,159,163,174,184,186,174,160,151,145,146,148,149,131,131,134,142,151,159,171,182,188,197,204,202,190,175,156,143,149,153,158,163,113,114,119,124,129,138,156,172,181,192,194,183,172,167,161,153,155,158,163,167,133,132,132,128,122,124,137,153,153,166,172,164,161,168,174,173,172,172,172,172,125,126,129,127,119,117,127,139,136,147,154,153,152,152,155,156,160,158,154,151,124,129,136,138,129,119,119,124,137,138,142,145,142,136,134,137,141,139,136,133,99,110,126,139,137,129,126,129,141,135,135,142,142,137,141,150,150,149,147,145,88,90,100,115,123,122,116,113,120,105,95,98,100,99,105,114,122,127,134,138,116,104,92,89,90,91,95,100,91,89,89,95,99,96,93,94,92,96,101,104,114,106,102,104,105,101,96,95,92,92,90,87,90,96,98,97,97,99,101,102,84,86,95,109,114,107,96,90,107,110,106,97,99,110,115,111,122,123,124,122,89,80,76,81,87,91,95,100,102,113,122,121,123,127,124,115,126,126,126,123,97,84,70,68,73,83,96,107,103,110,117,120,123,127,129,127,127,128,128,126,117,109,102,104,107,106,107,108,115,113,113,115,116,119,127,136,138,140,141,140,183,176,172,171,167,156,144,138,118,116,123,131,130,121,120,126,139,141,143,144,213,219,222,220,216,210,200,192,182,176,157,145,149,144,133,131,150,156,158,156,199,206,209,206,203,197,187,179,189,189,176,164,163,155,147,151,157,165,170,170,197,203,206,204,199,194,185,177,178,185,177,164,155,143,136,142,159,169,178,180,203,208,211,209,204,200,191,183,186,194,187,172,162,144,133,137,152,165,176,180,0
116,107,106,139,146,127,141,157,142,117,114,123,112,96,94,97,111,94,97,113,135,121,113,143,152,132,137,144,127,116,127,138,115,85,88,110,130,104,106,134,134,118,105,134,152,142,147,146,123,119,138,159,137,92,87,115,137,110,121,162,133,119,102,126,145,146,157,155,134,123,134,163,156,108,84,100,93,83,107,147,153,143,122,128,136,136,148,145,141,133,129,144,143,105,80,93,72,77,99,118,165,163,142,137,134,129,136,127,140,151,141,129,123,101,89,107,94,98,109,109,166,173,160,158,154,144,139,118,124,159,153,126,122,114,102,110,108,101,106,112,176,189,182,183,180,166,149,116,104,153,152,125,133,133,107,95,116,100,112,136,151,180,198,185,158,137,122,112,115,151,171,153,128,118,109,98,88,118,118,159,135,154,172,166,138,114,110,118,108,147,166,153,136,115,99,97,95,113,114,155,141,141,147,149,134,113,112,125,125,140,137,145,168,149,111,106,125,134,135,173,165,152,144,146,147,140,134,133,145,145,126,140,180,154,108,109,129,135,149,180,173,171,163,156,158,164,160,150,150,160,149,154,165,117,73,92,115,130,164,187,172,184,186,173,167,174,179,175,161,164,158,169,172,121,72,78,109,133,181,185,183,185,183,178,176,177,179,180,168,149,140,162,178,146,99,83,104,130,181,164,199,176,161,169,180,177,168,163,154,133,127,146,154,132,106,96,114,140,191,164,196,177,158,166,181,169,151,152,156,161,141,127,133,123,105,106,96,147,201,211,202,187,170,174,178,155,129,126,140,154,146,140,144,128,104,103,119,160,209,223,193,187,182,189,189,162,133,130,138,162,167,167,166,139,108,105,126,154,197,219,175,181,186,197,198,174,150,149,148,176,188,187,179,142,108,107,117,133,173,206,0
119,128,161,199,167,162,189,155,155,157,161,161,165,179,175,151,156,142,157,142,128,145,162,190,185,177,192,178,179,159,156,163,160,157,160,160,165,151,159,145,160,169,160,164,171,155,161,166,177,155,149,154,149,151,166,177,170,155,152,138,195,178,167,150,140,118,130,136,166,163,160,149,143,162,183,184,174,159,141,127,202,161,178,161,129,104,127,121,145,143,142,131,119,128,144,145,181,172,137,121,182,135,178,167,130,96,114,101,126,106,106,113,97,84,94,110,168,176,135,110,169,127,167,150,134,90,93,91,121,99,97,106,90,75,84,101,120,153,118,87,170,136,158,132,144,99,91,110,103,95,89,76,59,59,68,68,70,123,95,61,162,135,121,126,120,96,80,82,79,58,57,66,55,41,49,63,71,90,67,53,124,120,122,125,106,71,48,45,64,56,47,40,35,34,47,64,84,96,65,31,117,123,131,133,114,80,47,29,40,59,53,38,42,45,52,72,77,98,80,37,125,123,120,121,117,97,59,27,19,58,66,58,60,44,39,66,88,117,111,51,132,129,123,122,122,110,75,42,31,67,79,78,73,48,46,86,145,167,159,68,128,133,136,137,130,110,81,57,37,56,65,69,70,65,86,134,147,168,174,77,120,121,126,133,129,106,76,55,35,45,56,64,77,100,134,161,130,146,165,74,140,126,122,136,146,129,95,68,72,83,99,109,124,158,182,181,185,182,187,87,161,139,153,181,168,123,93,86,113,123,129,139,145,178,219,209,221,240,192,138,139,137,168,193,167,123,115,132,150,155,152,151,144,164,197,182,201,214,166,120,132,138,174,200,173,135,141,171,179,181,173,168,155,169,198,182,191,193,144,111,149,141,166,195,183,154,157,178,185,186,180,178,165,179,208,194,194,186,135,112,1
130,137,174,214,197,139,120,140,179,185,192,189,177,168,172,182,160,174,190,200,113,101,124,177,207,192,166,158,171,170,174,179,179,173,169,169,162,174,190,200,112,98,105,154,212,231,207,173,187,176,172,181,190,185,171,159,164,173,191,207,101,112,127,156,201,232,218,184,206,190,177,183,193,189,173,159,162,164,178,196,55,92,124,142,173,207,206,180,182,166,155,160,169,173,171,167,165,156,151,156,23,56,85,102,133,164,161,134,123,114,109,116,129,144,160,170,173,159,140,125,37,49,59,72,98,118,103,73,74,69,66,73,86,105,131,148,163,165,158,140,63,60,55,60,79,90,70,43,52,46,43,46,55,72,96,117,140,165,180,171,102,94,94,102,97,73,48,37,48,46,42,37,38,46,64,77,85,114,146,161,137,141,149,147,119,78,52,46,36,38,37,33,31,37,48,59,48,69,97,119,169,174,180,172,138,90,55,44,30,31,31,27,24,23,27,31,44,53,74,98,171,162,154,153,138,106,68,45,30,28,25,24,27,28,29,28,41,48,68,92,134,120,111,115,119,108,84,65,39,32,24,25,33,40,40,37,30,51,87,116,98,97,98,102,104,100,92,85,65,55,43,35,35,37,37,36,37,75,124,156,129,136,144,148,142,133,120,111,99,94,83,68,56,51,55,59,75,113,151,167,199,204,210,213,208,190,163,141,117,122,119,106,89,85,96,109,135,162,180,173,236,235,230,228,233,230,202,167,131,135,135,124,119,132,155,168,197,197,187,172,228,222,217,218,225,225,208,185,154,152,152,150,152,163,183,199,207,210,203,187,223,211,204,208,215,214,209,203,176,161,154,161,164,163,173,190,186,198,202,194,227,209,201,206,207,202,202,208,183,154,143,155,158,145,148,162,161,181,196,196,1
155,146,147,158,134,119,149,161,157,175,171,131,103,127,160,165,158,152,149,152,154,142,137,151,131,107,135,162,151,162,154,115,94,126,166,174,152,148,141,135,145,134,127,159,165,127,118,127,151,152,137,104,95,132,165,165,151,155,149,133,143,132,115,157,200,174,132,108,154,143,123,104,114,152,169,151,148,163,167,155,160,150,116,136,185,189,162,128,163,143,119,110,132,171,179,150,128,149,168,171,168,176,151,144,157,161,157,134,183,164,139,123,135,166,172,148,114,130,152,168,151,171,175,168,146,137,149,137,181,179,170,146,131,145,158,151,135,134,144,161,130,147,165,174,144,135,163,162,151,173,187,165,134,137,157,161,170,153,148,158,169,133,150,174,126,139,151,164,158,159,197,169,124,138,148,149,162,163,154,138,156,154,158,147,137,153,152,166,163,165,195,167,121,130,141,145,163,161,151,136,136,171,166,126,154,170,154,163,171,175,198,173,125,120,127,131,154,150,141,131,117,159,172,126,161,172,161,162,170,175,191,176,137,123,130,137,153,145,139,139,116,132,163,135,147,157,169,170,166,169,172,170,147,133,151,167,166,153,146,151,122,115,146,136,124,142,169,180,181,175,159,160,148,134,157,180,174,155,143,149,119,114,132,134,118,141,156,178,185,177,153,160,157,134,152,170,172,148,135,143,109,120,126,133,126,148,141,167,167,166,145,167,171,142,152,164,170,145,131,141,108,135,127,125,135,140,142,128,141,148,146,150,166,172,171,176,162,161,150,179,108,138,133,129,138,142,146,134,135,144,145,148,163,170,172,178,165,164,155,187,110,143,140,133,136,137,143,134,132,145,147,146,157,163,166,174,161,161,154,190,112,148,145,134,129,126,133,127,137,152,153,146,149,152,156,164,150,150,146,185,0
189,192,195,198,201,202,201,200,207,206,204,205,207,208,207,205,203,204,205,206,193,195,198,201,202,204,203,203,205,204,204,204,206,207,206,205,208,207,205,203,195,197,199,202,202,202,203,203,202,202,204,206,208,208,206,204,205,205,205,204,195,196,198,199,200,200,199,199,200,200,201,204,207,207,205,203,203,204,206,208,197,198,198,199,199,199,199,199,198,198,199,202,206,207,205,204,206,206,205,205,200,200,200,201,202,202,202,202,198,198,198,200,203,206,206,206,206,206,205,204,204,204,203,203,202,203,203,203,200,198,197,198,202,206,208,209,204,204,205,205,203,202,201,200,200,200,201,201,200,198,196,197,201,205,209,210,206,205,205,205,197,209,212,201,197,204,204,197,198,196,194,194,196,200,203,204,206,206,206,205,207,205,204,204,204,202,201,201,200,197,194,194,196,200,204,207,207,206,206,206,207,189,181,189,195,190,189,196,200,197,193,191,193,198,203,207,208,207,207,207,204,180,161,162,170,173,178,184,193,191,188,186,187,192,199,205,208,208,208,207,202,181,156,143,148,162,169,170,181,180,178,178,179,185,194,201,205,205,205,205,183,169,149,133,135,146,153,153,165,167,169,169,171,179,189,197,200,200,201,201,144,136,131,135,135,133,136,145,152,157,161,165,168,176,187,196,198,198,199,199,113,107,119,141,145,131,132,148,145,151,158,162,166,175,187,196,201,201,201,202,77,88,108,131,146,151,153,158,161,160,132,136,164,182,203,207,203,203,203,205,90,91,94,97,100,110,132,154,186,184,147,137,158,180,203,206,204,204,204,205,98,101,102,94,78,71,87,109,168,174,141,129,152,184,210,207,205,205,206,207,101,107,116,109,85,62,61,76,124,146,127,123,153,192,216,205,207,207,207,208,0
150,144,128,116,125,142,140,124,126,109,117,129,120,126,143,144,130,139,144,143,141,132,118,116,129,142,138,123,123,107,110,114,103,110,132,142,130,135,136,132,135,126,120,127,138,139,126,111,96,84,86,88,80,90,120,140,138,144,147,144,132,126,126,134,132,118,99,87,66,63,66,67,61,68,96,123,112,125,139,144,132,126,122,117,103,85,73,69,61,63,64,64,59,54,69,92,95,109,125,134,139,131,114,94,78,71,73,76,61,66,65,67,69,61,62,81,107,116,123,123,140,132,109,85,76,80,83,80,64,67,60,63,74,67,62,79,98,107,112,111,132,125,105,83,80,88,85,71,74,72,56,55,69,61,52,67,80,95,112,121,125,120,86,80,88,80,73,56,57,78,51,45,80,63,43,79,89,92,102,118,125,118,87,81,84,72,73,70,66,57,47,50,58,55,68,99,95,94,104,122,135,129,96,81,76,63,71,78,70,40,45,56,42,56,97,117,91,96,115,139,149,147,105,75,65,60,71,68,63,42,48,55,47,73,112,120,89,107,130,147,144,150,104,62,56,67,74,56,54,60,49,40,61,93,110,117,109,131,143,135,132,139,94,57,58,73,77,53,54,70,47,36,79,106,105,114,137,150,147,127,135,134,93,70,69,68,69,54,57,62,52,62,103,116,107,114,153,156,156,153,150,138,100,86,81,61,57,54,57,50,61,99,125,123,113,116,161,157,166,185,150,143,130,111,87,64,50,45,50,81,99,107,146,116,106,133,171,165,178,195,146,153,155,139,103,75,69,73,71,104,125,126,149,109,111,157,171,164,175,190,147,152,165,160,128,104,98,97,91,111,124,128,150,104,109,166,173,164,171,185,152,138,148,160,147,134,121,102,104,100,99,116,154,111,106,158,178,165,169,181,1
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118,96,89,137,179,154,180,183,203,198,187,181,182,184,171,155,144,120,139,166,123,101,88,117,144,128,180,201,201,197,190,186,190,193,182,168,151,124,135,157,115,102,88,100,109,105,188,227,204,201,196,195,199,202,195,183,161,130,129,140,111,105,98,97,93,97,191,229,208,206,202,203,207,208,202,196,175,141,126,128,116,110,102,93,85,96,191,216,210,207,206,207,211,212,210,208,193,159,133,125,108,100,89,81,79,107,208,221,209,206,205,209,213,215,218,222,209,179,146,130,97,87,81,75,79,122,225,227,214,209,206,211,212,215,221,229,215,191,154,132,98,90,87,80,84,126,225,218,221,215,211,213,213,213,221,231,214,194,156,132,106,102,97,100,73,153,224,216,211,211,213,212,210,209,218,230,223,202,159,127,100,95,107,119,109,187,229,213,211,211,211,211,208,208,219,231,219,199,158,126,94,83,113,128,142,218,228,210,210,210,210,210,207,207,218,231,217,196,155,126,93,76,112,122,156,228,219,209,211,209,209,209,206,208,218,230,214,196,155,126,97,81,114,119,169,227,211,207,212,209,209,208,206,208,218,230,217,198,156,126,101,94,115,123,187,226,211,206,213,211,209,208,206,208,218,231,219,199,156,124,107,103,102,116,197,223,220,212,214,211,210,209,207,209,220,232,221,199,154,120,112,106,85,101,193,218,227,217,215,212,211,210,208,210,221,233,222,199,152,117,104,107,92,121,169,228,221,210,208,207,208,211,213,213,216,222,221,207,156,111,114,107,99,133,167,220,225,218,210,208,209,211,213,213,218,224,220,206,155,110,131,109,114,155,163,206,224,222,213,210,209,211,213,214,221,228,219,206,153,108,146,113,129,176,160,189,216,217,216,212,210,210,213,215,223,231,218,204,152,107,0
135,122,135,137,140,156,144,132,117,142,153,137,122,122,123,118,117,117,113,109,140,127,138,137,134,143,137,137,119,126,134,138,133,124,122,124,122,123,123,121,130,119,141,147,139,140,137,145,140,127,130,149,149,128,118,125,143,143,139,133,121,115,147,163,158,149,135,140,147,132,134,153,154,133,120,124,159,155,145,133,129,120,151,172,168,158,136,134,126,125,131,142,144,134,126,123,144,144,139,131,131,120,144,160,165,167,153,149,122,129,135,136,136,133,126,117,122,130,136,137,128,120,141,149,155,167,161,158,135,136,138,139,139,136,126,117,114,123,130,130,134,130,149,148,147,159,150,143,136,129,130,139,145,139,131,126,118,121,119,111,134,123,150,160,162,156,132,144,140,138,131,124,126,134,139,139,130,123,116,112,140,125,142,149,151,150,141,163,148,148,143,136,130,130,132,134,140,124,119,131,146,127,135,144,145,142,140,163,158,162,163,157,144,134,135,139,152,127,117,134,150,134,134,146,150,138,129,136,141,149,158,156,139,121,119,127,152,131,115,114,157,143,136,148,154,142,128,117,137,143,157,162,146,121,115,125,143,144,135,118,159,154,135,140,150,147,141,121,146,148,162,175,162,134,123,130,139,162,170,154,152,159,136,132,139,146,154,128,129,127,141,162,157,129,115,120,133,158,174,170,138,159,138,128,132,142,156,128,119,114,129,156,158,133,118,122,122,136,151,154,146,139,146,144,148,155,141,142,140,117,126,117,103,117,128,133,122,140,148,136,150,139,142,136,141,151,141,146,134,112,125,123,114,128,134,135,122,135,139,128,157,143,140,130,135,149,145,153,137,114,129,134,130,141,140,136,131,137,137,131,166,149,144,132,137,153,152,162,151,123,136,144,141,149,143,135,139,140,139,139,0
123,106,82,65,61,68,78,85,89,90,94,100,104,112,128,144,162,167,171,172,154,151,129,98,79,79,78,71,82,84,88,95,100,108,122,136,146,150,155,158,143,160,156,129,108,104,90,69,65,64,66,75,85,99,118,135,157,162,169,174,111,133,149,148,142,132,111,88,66,58,53,55,62,76,97,113,140,158,180,192,110,114,127,143,149,139,122,112,94,82,69,61,58,56,60,66,93,126,167,193,125,109,102,113,122,122,121,127,115,106,96,90,79,62,49,42,54,88,130,156,154,134,111,100,102,112,125,136,128,120,113,110,102,84,67,57,42,61,85,98,196,181,151,120,110,121,135,140,141,131,120,114,108,95,81,74,65,70,75,78,193,196,190,171,148,137,146,159,158,144,135,136,130,117,109,111,103,104,98,87,181,186,198,202,185,160,157,168,168,158,159,169,164,144,131,131,121,120,111,99,137,142,165,190,184,159,150,162,156,158,179,202,196,160,133,129,134,129,118,106,124,121,133,152,159,149,145,149,140,145,172,199,191,153,135,142,145,140,132,122,144,140,135,137,149,160,159,149,137,137,153,170,162,140,142,164,155,154,154,155,135,136,133,132,148,167,166,151,129,134,149,163,157,135,128,135,147,151,160,172,130,134,140,147,157,163,160,154,134,143,162,181,186,166,138,118,130,136,152,171,166,168,175,184,179,166,160,164,158,161,171,193,213,213,189,161,125,133,149,170,200,197,187,169,150,140,142,147,159,170,143,150,162,200,207,187,159,138,141,163,175,172,168,162,157,154,152,152,148,157,125,128,136,178,195,183,186,157,145,151,162,161,163,170,178,180,175,168,158,164,126,118,120,165,192,190,182,151,135,135,167,168,174,185,194,197,191,184,182,187,143,126,118,161,194,199,182,158,150,155,0
145,179,191,178,164,145,121,108,98,91,96,118,130,127,126,132,112,87,79,84,149,183,191,167,148,135,119,110,106,95,95,110,122,123,128,138,127,113,106,105,145,180,183,150,129,125,118,113,103,89,83,92,100,103,115,130,133,138,136,126,137,171,171,138,121,122,116,108,86,72,65,71,76,76,87,102,118,143,148,131,137,167,164,135,122,121,108,95,73,61,57,66,69,63,66,75,99,139,146,126,143,164,158,133,121,111,93,80,73,62,62,74,78,68,63,65,87,133,141,119,142,155,147,126,108,91,76,74,77,63,61,75,84,75,66,65,79,126,133,114,132,143,135,115,95,75,66,74,75,59,55,70,81,76,67,65,72,119,126,111,131,145,131,98,80,73,66,64,67,57,52,61,68,67,66,70,79,120,133,115,143,144,118,82,70,68,64,62,57,51,52,62,66,63,62,65,76,120,138,121,147,137,102,67,65,69,63,59,54,54,60,69,68,59,55,58,81,126,146,131,147,133,95,68,73,79,70,61,51,56,65,75,71,60,58,66,89,125,140,128,153,133,93,66,73,80,73,66,48,53,63,72,68,61,65,77,97,117,120,109,152,130,85,53,54,60,61,64,63,62,64,66,59,54,64,80,112,117,108,98,144,127,88,54,48,49,55,65,77,70,65,63,61,63,82,105,128,128,116,108,141,132,103,73,62,59,63,75,72,64,60,63,70,86,117,146,133,133,123,119,141,151,139,92,73,66,52,70,69,63,49,66,90,112,148,159,129,124,121,120,147,161,154,114,97,85,59,68,73,80,80,101,113,110,116,110,106,109,115,121,143,160,159,127,121,115,90,94,111,114,108,122,125,113,109,96,110,116,121,119,144,157,153,124,128,134,115,120,138,131,113,124,133,124,120,104,86,99,109,108,1
161,134,113,118,138,151,154,154,173,181,185,180,177,186,199,210,201,204,204,200,164,140,117,116,128,138,143,146,135,154,176,186,189,188,185,182,193,197,196,191,154,135,116,111,119,129,139,145,143,140,134,129,135,154,174,184,178,183,183,179,151,134,117,109,114,123,129,132,131,128,119,113,119,134,148,153,160,166,169,168,161,145,124,113,114,116,112,106,119,124,129,131,135,137,134,126,144,150,154,153,161,147,129,116,116,116,110,98,121,124,125,126,130,135,135,132,133,138,138,135,156,148,134,119,115,117,115,108,101,112,122,129,132,133,128,122,126,129,128,123,162,158,142,122,110,110,112,109,106,113,116,115,117,124,130,131,126,129,127,121,154,161,132,104,103,93,93,124,113,114,111,104,106,119,138,149,144,138,129,121,159,166,140,113,106,89,84,111,106,108,113,120,122,122,130,140,162,141,126,115,159,167,147,122,106,82,74,98,97,96,103,117,120,115,117,125,154,124,113,112,142,150,142,122,100,74,70,94,96,95,94,98,103,109,114,116,130,103,106,119,113,121,125,115,93,71,77,101,100,102,97,91,100,116,119,111,124,105,109,123,91,94,105,109,95,80,87,105,97,99,98,98,110,120,114,100,128,121,109,101,86,78,90,109,109,98,97,100,96,86,89,110,122,114,100,93,120,130,103,74,89,72,83,112,121,113,103,93,104,79,83,118,131,109,93,98,102,128,99,63,99,79,84,100,104,114,115,94,101,84,83,112,138,139,123,111,112,116,109,88,95,76,78,90,93,101,99,78,91,82,81,97,115,123,123,121,116,121,116,99,102,87,85,91,94,98,92,74,80,86,89,90,96,107,116,120,110,117,115,104,112,103,96,97,101,103,95,79,76,95,105,99,94,101,107,106,104,109,110,104,0
119,115,118,120,117,124,129,120,117,122,125,124,124,124,127,127,129,124,121,124,119,120,128,129,121,120,119,107,99,103,107,109,113,117,120,121,122,120,120,123,113,118,129,130,119,119,122,115,110,107,105,104,106,107,108,109,107,110,114,117,118,119,125,121,110,115,127,127,122,113,103,98,96,96,98,102,100,107,115,118,129,126,127,119,106,109,117,114,100,87,77,73,73,77,87,97,102,115,126,127,121,119,123,122,112,111,106,92,71,60,50,49,49,53,67,84,101,117,128,127,115,110,114,119,115,111,93,68,51,44,40,40,37,38,52,71,94,112,125,120,127,116,113,114,110,100,77,45,33,30,33,39,36,34,50,71,92,112,124,118,129,124,123,123,110,83,58,46,30,32,35,37,36,45,67,88,91,101,112,119,128,124,125,127,115,86,52,33,34,35,37,40,44,55,76,94,105,113,122,126,129,125,127,133,127,101,63,38,39,38,39,48,58,72,92,107,116,122,128,131,131,125,125,133,136,119,87,63,52,49,49,61,76,92,107,119,117,121,125,127,139,131,126,130,135,131,112,93,81,75,74,85,99,109,117,124,120,121,123,124,156,148,139,134,136,136,129,117,110,104,102,110,118,121,122,123,128,127,125,123,160,159,151,140,134,134,130,125,122,119,118,124,129,127,124,124,130,127,124,121,151,154,150,135,126,124,122,119,119,117,120,129,133,130,127,125,126,123,119,118,122,118,118,120,116,110,113,120,123,121,124,131,130,124,122,125,129,125,120,118,124,121,123,125,124,120,122,127,126,124,127,131,131,126,124,128,131,128,124,123,123,123,127,132,132,128,128,132,130,128,130,134,132,129,130,134,134,133,132,132,119,122,126,131,133,129,127,127,132,134,134,134,132,132,135,140,139,139,139,142,1
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116,132,153,165,165,162,163,166,164,161,159,158,158,159,161,162,161,147,143,154,114,118,127,139,150,159,165,166,159,161,165,170,174,177,180,180,156,149,148,156,122,116,113,125,144,159,160,155,169,171,175,178,180,179,176,173,153,154,156,159,123,115,114,128,151,166,163,155,180,182,183,183,180,174,168,165,163,169,173,170,110,107,111,128,153,170,174,172,180,181,183,184,185,185,183,183,175,182,185,183,113,112,115,128,148,165,176,178,178,179,181,183,186,190,192,195,178,179,182,185,128,129,134,146,161,173,177,179,182,183,182,183,185,185,186,186,181,174,174,183,131,137,149,169,186,193,193,187,185,185,186,187,187,187,186,183,193,179,176,188,151,144,152,180,183,183,195,172,178,184,187,184,182,187,194,197,197,174,158,162,146,146,155,182,183,176,180,156,171,180,185,180,178,186,193,194,188,176,164,160,156,155,160,184,186,175,174,151,168,181,188,181,180,189,195,193,178,181,178,172,161,158,155,176,187,178,174,154,170,184,189,183,181,190,194,191,177,187,190,183,143,145,138,164,186,180,170,151,174,183,186,181,177,183,189,189,180,187,187,181,122,134,134,164,191,183,170,156,180,180,181,180,178,178,186,197,184,185,184,183,117,139,140,164,188,180,178,179,179,169,167,173,171,168,181,202,190,185,184,188,121,147,144,157,175,170,183,200,168,151,148,160,159,153,168,197,196,188,185,187,130,152,146,169,170,189,194,187,166,165,142,160,174,160,177,186,186,192,186,177,131,150,143,170,178,192,184,167,171,169,150,166,174,158,173,183,173,181,176,168,126,141,125,152,170,187,171,151,161,154,144,155,150,130,140,151,150,161,157,148,142,155,127,149,176,200,190,180,172,158,155,162,145,121,126,138,138,150,146,133,0
173,168,160,174,171,153,168,180,177,145,181,190,163,164,158,155,177,176,177,168,175,166,154,171,176,163,171,174,170,151,169,176,167,155,150,184,201,177,164,162,165,163,156,172,174,162,174,177,162,157,156,160,165,142,139,202,221,179,156,159,150,165,167,175,163,150,171,184,180,178,170,165,160,131,126,171,201,173,165,175,155,170,169,170,158,148,168,176,218,213,204,195,167,138,131,130,158,162,181,199,175,176,160,161,163,163,174,166,231,230,220,214,189,164,158,139,142,156,186,204,180,177,156,158,169,180,193,181,218,230,205,204,203,171,164,170,160,154,171,191,170,176,160,161,171,186,210,206,209,232,186,184,201,155,143,182,180,151,153,179,174,183,180,176,186,194,200,210,220,205,185,175,166,147,143,161,158,151,149,155,179,184,176,173,186,197,199,204,210,198,182,176,171,152,146,161,159,156,155,158,184,185,172,169,186,198,198,200,215,203,184,176,171,155,150,165,145,150,160,170,183,183,172,169,184,196,198,203,218,208,190,177,172,163,167,188,163,160,160,163,178,185,178,171,179,190,199,210,208,205,193,184,182,179,188,211,201,180,157,146,178,189,184,173,176,185,197,214,206,204,193,187,189,186,189,204,189,173,160,161,184,194,187,174,175,182,195,213,212,199,177,170,181,187,186,193,174,167,166,176,190,198,189,174,175,182,193,209,208,184,150,145,170,191,197,203,206,191,172,162,198,196,195,184,170,176,187,185,179,172,161,165,171,166,173,198,219,205,186,168,191,192,195,185,167,166,172,169,174,170,162,166,172,167,172,196,210,202,190,180,188,193,201,194,173,167,170,167,174,172,165,167,170,163,167,188,196,192,188,184,185,192,204,201,180,172,177,178,181,179,169,165,164,156,160,180,191,188,185,182,0
206,206,206,207,207,207,207,207,205,204,202,197,190,181,173,169,171,175,182,188,205,206,206,207,207,207,207,207,203,203,202,199,193,188,181,178,179,182,187,192,205,205,205,205,206,206,207,207,202,203,202,202,199,196,191,189,187,189,191,193,204,205,204,205,206,205,206,207,203,203,204,203,202,199,196,195,192,192,192,191,204,204,205,205,205,206,206,206,204,204,204,203,201,199,196,194,190,189,188,186,205,205,205,205,205,206,206,206,204,204,203,202,198,196,195,193,190,188,186,185,205,205,205,205,206,206,206,206,205,204,203,201,199,196,195,194,192,191,189,188,206,206,206,206,206,206,206,205,204,203,202,200,198,196,195,195,194,194,193,192,212,211,210,209,208,206,205,205,201,201,200,198,194,192,193,194,197,195,191,188,206,206,205,204,203,202,201,200,197,197,196,194,191,190,192,194,191,190,188,186,206,205,204,204,203,202,202,201,195,195,192,189,184,183,184,186,184,184,184,184,207,205,202,199,198,200,203,205,199,196,193,187,181,177,176,176,182,183,184,186,194,190,185,182,182,186,192,196,198,198,196,191,185,181,179,179,186,187,189,190,172,169,165,162,164,168,174,177,189,192,195,197,197,195,196,196,191,191,191,191,158,160,160,161,161,164,166,168,175,182,191,199,203,206,207,208,196,194,193,191,157,161,166,170,171,171,169,169,165,174,187,197,204,206,208,210,197,195,191,188,164,165,165,165,165,168,172,175,176,171,166,171,180,186,190,192,191,189,186,186,151,151,150,147,145,146,149,150,153,152,154,161,164,166,170,175,187,185,182,181,143,142,140,138,134,134,137,140,129,132,137,145,147,145,148,155,163,160,155,154,136,137,137,136,136,138,142,145,122,119,124,134,139,136,137,142,140,136,132,129,0
141,128,132,163,144,157,162,170,182,161,136,177,179,125,147,207,200,202,203,202,176,147,144,166,156,161,168,170,152,152,142,171,174,136,160,212,203,203,203,205,194,154,154,167,168,159,167,160,146,151,133,141,152,141,166,209,217,211,211,216,176,144,157,164,169,149,162,153,153,135,97,91,113,130,165,213,222,211,208,216,153,137,161,161,159,143,162,157,126,98,62,55,77,101,149,222,226,211,201,205,151,146,165,163,151,149,164,154,85,68,58,51,55,61,103,190,230,222,212,204,154,159,168,169,149,159,148,116,63,60,66,56,50,40,52,119,191,209,221,216,152,162,165,173,150,164,125,71,59,55,64,54,56,44,27,65,124,171,214,224,146,159,161,167,168,119,68,65,67,63,71,53,53,26,39,46,62,94,141,165,140,161,178,161,119,86,70,59,86,80,75,49,51,31,38,48,48,78,123,145,143,146,150,114,66,78,98,77,100,99,79,49,56,43,42,48,43,70,110,129,142,143,129,87,57,80,104,91,96,100,76,52,64,60,49,53,55,76,109,124,135,162,151,112,87,77,74,85,88,85,62,52,65,74,69,74,82,98,124,134,141,161,139,113,114,101,82,94,87,70,51,63,68,93,100,107,117,128,149,156,145,140,117,99,106,116,110,99,91,64,62,98,93,121,134,137,145,153,170,176,136,134,135,113,84,96,105,78,94,64,79,134,122,146,156,152,152,158,174,180,127,145,149,115,89,107,104,58,66,70,85,119,148,146,138,145,147,164,183,192,135,148,146,119,101,104,94,68,69,76,94,127,152,146,134,141,164,179,193,198,137,144,132,118,113,91,73,76,97,102,115,141,160,154,149,160,175,186,197,197,157,157,138,139,145,102,77,108,132,131,132,147,161,162,170,193,176,188,196,197,1
113,120,125,128,135,155,180,196,150,147,130,138,156,183,201,178,181,178,167,154,104,100,109,128,141,148,166,189,181,172,138,129,137,153,178,178,166,171,175,176,127,105,100,118,121,113,127,158,176,174,135,119,122,122,148,174,178,175,175,178,159,130,110,104,89,74,86,116,133,148,126,121,124,102,118,158,186,172,164,168,162,155,140,118,92,76,76,84,99,125,122,132,134,100,107,146,168,154,148,159,161,177,180,160,133,112,90,72,88,112,120,141,144,118,131,163,164,148,134,132,160,176,182,171,154,137,109,82,97,110,120,145,146,134,156,176,172,161,142,125,148,150,149,144,143,138,121,103,116,120,127,148,142,134,157,165,161,167,163,148,159,151,136,128,124,114,116,133,137,139,144,142,126,111,121,142,138,138,142,148,166,157,139,129,129,121,117,124,140,137,133,130,126,118,103,89,108,112,121,130,155,160,155,153,161,155,137,126,134,143,142,128,115,109,94,76,93,100,113,125,136,152,157,160,176,178,164,152,140,145,140,123,107,103,103,101,95,100,110,120,124,142,145,145,157,169,171,174,164,143,125,119,116,112,110,113,99,97,99,102,119,140,150,151,157,158,159,169,171,153,140,137,128,114,113,122,117,107,97,96,121,135,143,147,150,143,144,159,161,158,154,145,131,122,123,128,137,120,105,102,127,123,112,108,112,115,133,164,158,148,133,124,134,144,135,115,141,122,104,102,168,155,119,100,105,100,103,128,165,161,131,117,139,148,136,130,137,119,102,98,185,172,137,112,106,87,80,102,134,149,141,134,151,156,149,153,147,130,114,110,196,190,166,151,142,114,103,127,124,141,139,139,163,173,166,169,160,146,133,131,172,176,168,165,161,132,123,151,145,143,123,126,169,189,176,167,164,153,144,145,0
118,111,129,143,129,121,122,114,105,113,122,134,123,125,140,118,121,126,127,119,124,125,136,140,129,118,113,107,101,109,120,136,135,149,171,150,130,146,154,149,132,133,121,108,106,106,106,112,96,104,113,130,132,149,176,157,144,165,173,161,116,121,100,86,99,106,104,112,112,114,114,124,115,125,151,139,152,172,177,158,87,98,93,97,119,118,98,94,137,124,115,118,101,103,132,129,136,158,168,159,80,83,87,99,113,106,91,87,133,107,97,114,104,97,124,128,105,123,139,143,90,80,87,99,93,84,87,92,115,83,89,140,147,127,132,126,96,102,110,118,89,78,99,117,96,77,85,93,108,80,104,186,206,172,152,130,113,106,103,109,103,102,108,142,120,102,88,113,116,84,133,217,219,225,196,179,169,165,159,151,107,116,128,130,101,102,116,131,105,98,156,219,224,230,220,216,217,210,202,197,116,113,125,108,101,126,147,118,86,113,186,215,219,216,218,224,226,218,211,210,109,98,122,109,116,142,157,94,68,120,204,211,216,202,206,211,214,213,212,213,98,94,131,124,118,124,140,91,73,125,208,211,216,205,208,212,203,208,214,216,112,96,111,112,107,112,120,89,102,133,202,216,209,204,208,211,196,203,210,211,128,107,88,93,94,117,118,104,123,132,190,226,205,206,203,207,212,213,213,211,124,123,101,98,86,117,128,142,118,118,182,240,211,216,210,212,219,214,207,201,111,107,114,93,90,128,151,155,122,114,147,218,232,201,203,210,202,194,189,191,100,84,97,100,113,145,149,135,129,114,138,205,228,210,207,197,179,172,169,172,105,79,96,113,122,137,130,113,138,132,148,196,210,199,199,184,153,147,145,149,114,84,109,123,110,111,115,116,142,160,181,199,184,171,182,176,142,136,131,134,0
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190,175,157,154,157,152,161,186,177,180,176,187,184,171,183,187,202,200,185,178,172,168,164,163,161,162,168,172,182,186,173,177,181,182,193,183,196,197,187,182,168,159,160,154,145,163,180,171,176,188,176,172,174,181,197,186,184,189,185,182,159,141,149,153,141,158,179,167,158,174,171,171,164,163,184,188,178,184,179,175,146,127,148,172,161,159,165,154,155,158,155,172,172,159,174,184,187,188,174,164,156,137,149,173,169,161,164,161,171,160,151,181,195,180,184,186,198,190,167,150,172,161,156,162,166,166,168,172,171,168,164,187,198,189,195,194,193,180,150,132,165,172,167,163,173,176,167,161,150,169,174,184,178,174,193,198,178,163,134,117,163,162,169,173,169,172,171,159,150,165,182,188,186,182,184,189,161,140,117,112,159,160,170,171,162,162,167,164,174,175,182,194,204,200,185,171,165,145,125,117,152,155,167,167,153,151,164,168,166,167,176,192,205,201,180,160,161,147,131,124,141,143,156,159,146,145,158,165,163,173,187,197,197,189,176,168,151,142,132,128,125,124,135,144,138,138,149,155,161,168,174,173,164,154,147,145,142,134,128,126,116,108,116,127,126,128,139,145,152,143,132,128,129,128,121,114,135,126,120,117,117,104,108,118,115,119,135,145,158,141,123,116,121,126,122,116,127,116,107,105,123,109,111,115,110,114,134,150,160,146,127,113,108,109,111,111,119,106,96,95,114,105,105,103,114,122,116,136,144,130,123,114,96,90,93,93,101,91,78,71,100,97,102,100,110,116,111,133,139,127,125,122,106,95,90,82,78,72,65,60,78,84,99,98,105,110,105,128,127,112,109,108,96,85,75,63,57,58,60,61,61,76,98,98,102,106,104,127,121,99,86,81,72,67,61,49,43,52,62,68,0
141,137,128,116,104,92,84,79,67,86,101,102,104,113,119,116,108,117,122,122,143,128,107,91,81,77,73,70,64,64,70,84,109,131,140,138,118,121,122,122,142,119,91,75,74,75,71,65,62,52,49,63,89,113,128,137,129,124,121,122,134,109,83,74,80,85,75,63,58,53,51,57,61,72,98,124,138,131,126,128,128,102,76,70,79,84,74,59,54,53,55,57,55,61,85,114,139,136,137,138,134,107,75,64,71,78,72,63,59,52,50,52,59,67,77,87,118,129,138,137,134,108,77,64,68,74,74,68,61,57,51,50,58,67,67,62,93,118,136,132,120,99,75,64,67,72,71,66,54,60,59,54,57,67,69,63,83,117,140,134,118,99,74,61,62,66,67,65,56,62,66,65,62,62,65,68,99,142,155,131,110,97,79,66,61,60,58,58,62,66,70,69,66,66,70,73,106,141,150,130,122,112,97,80,69,62,59,58,63,65,66,65,63,64,70,76,114,138,143,130,141,130,113,97,84,76,68,64,58,56,54,54,56,60,68,78,116,132,136,132,138,129,117,111,105,96,79,67,62,56,54,57,61,67,78,90,115,128,130,131,125,122,120,125,127,119,98,81,79,74,75,84,89,91,99,110,119,130,128,122,128,125,124,127,131,128,118,110,98,95,102,117,123,120,119,125,127,137,125,105,138,132,123,118,118,122,126,129,109,108,120,139,145,136,129,130,135,143,123,91,144,146,140,128,125,129,125,114,121,111,109,120,130,134,138,144,155,135,103,75,148,150,146,135,132,135,130,119,109,99,96,108,118,123,130,136,138,121,93,70,143,146,145,140,140,142,137,127,115,104,98,107,116,121,129,136,130,115,93,78,129,133,137,139,143,146,142,134,133,119,110,115,122,126,133,141,130,117,100,91,1
49,84,136,135,140,165,162,170,135,124,116,121,126,123,116,110,115,114,112,111,52,92,147,146,141,153,149,159,137,132,128,127,125,126,132,140,133,130,126,122,75,112,156,150,132,131,126,134,126,133,141,143,137,132,141,154,143,139,135,134,115,134,149,137,119,113,111,116,118,128,146,157,152,141,135,137,137,132,128,129,144,142,131,122,118,120,130,131,135,132,135,144,149,141,129,121,135,130,123,119,147,139,120,123,129,134,154,158,159,137,115,113,121,126,121,116,136,134,132,129,135,140,129,138,136,126,145,149,147,123,99,91,95,98,99,99,124,130,138,141,128,147,145,155,136,105,117,118,114,102,90,86,83,80,75,74,105,117,131,137,129,130,139,142,131,122,103,78,69,66,64,62,61,64,70,78,86,118,140,145,120,121,134,139,123,104,84,63,44,48,54,62,70,71,71,70,76,115,140,141,116,117,134,140,115,84,65,54,38,41,48,61,74,78,73,65,81,130,159,154,121,121,137,143,112,75,61,59,58,54,53,60,72,80,75,66,79,134,165,156,127,125,136,137,105,74,68,71,69,68,65,67,77,85,82,73,91,144,170,158,131,125,130,125,98,77,75,76,63,71,76,78,86,93,90,81,111,151,168,155,135,128,128,118,97,87,85,80,65,80,90,89,89,95,94,89,109,136,143,134,141,135,132,120,101,96,94,84,79,94,102,92,86,90,95,93,116,133,136,132,151,139,141,152,131,118,120,85,91,92,92,89,86,93,107,119,120,128,141,150,154,144,152,168,153,143,146,110,78,83,89,94,98,103,111,116,128,135,146,153,152,141,147,167,158,158,170,138,90,93,99,107,116,124,128,129,140,145,152,157,153,136,134,151,145,156,180,156,121,115,110,113,125,138,145,147,150,153,157,159,1
189,212,177,123,122,126,107,100,87,75,77,95,105,101,108,123,120,114,113,120,184,203,174,132,124,111,82,71,63,52,55,72,84,87,99,117,125,130,137,145,185,193,169,139,124,91,53,44,57,46,44,53,60,63,76,91,112,130,146,147,195,186,159,132,111,73,41,38,62,53,49,49,48,50,58,69,87,116,132,125,198,177,142,110,85,60,46,48,56,55,54,52,51,53,59,65,69,102,124,115,181,160,123,84,60,54,55,53,51,56,57,53,50,53,57,59,58,95,125,124,151,140,112,70,47,57,61,46,47,54,55,48,43,47,52,52,49,87,125,137,128,129,109,68,47,63,66,37,37,47,49,41,39,47,54,55,44,83,126,144,124,144,117,61,45,63,65,53,31,42,45,42,46,56,54,44,57,103,142,147,123,134,108,63,47,53,51,46,47,51,50,46,46,52,56,56,82,117,145,145,123,124,107,87,76,61,46,42,44,42,41,40,38,39,51,62,114,134,146,139,127,119,114,124,125,94,60,54,43,41,46,55,53,49,63,83,128,134,132,124,128,113,110,136,152,122,85,76,71,72,84,98,97,88,98,117,122,119,113,110,125,107,99,121,143,128,103,98,101,105,118,129,124,111,113,126,117,111,108,112,116,107,98,108,128,125,112,113,114,117,123,125,116,105,103,110,117,109,107,115,109,112,107,110,123,124,117,119,119,121,121,115,105,97,95,98,113,103,100,106,108,109,126,137,123,116,127,138,141,141,134,114,89,77,85,100,98,99,97,91,133,127,137,144,128,117,125,133,138,135,127,110,89,79,86,100,91,93,92,87,153,140,144,152,139,127,132,136,135,129,119,106,91,82,87,98,84,89,90,86,152,135,141,157,152,143,144,147,137,126,114,105,94,85,86,95,82,89,92,89,1
182,184,186,183,190,211,212,189,163,141,154,180,171,162,168,169,178,197,204,201,188,179,179,185,191,207,217,211,196,156,144,161,168,173,173,161,166,189,197,195,195,177,175,184,186,196,213,221,230,187,156,156,169,187,190,176,161,189,202,198,199,185,182,184,181,188,205,212,226,201,171,154,157,175,187,186,164,191,204,203,193,192,196,193,187,198,209,204,204,194,170,145,141,150,161,167,169,188,192,187,180,186,198,201,196,203,206,193,195,189,164,142,140,140,138,143,179,188,179,164,166,166,181,194,188,179,171,159,164,163,141,122,118,107,103,118,166,180,175,160,158,147,162,181,171,146,128,120,108,118,104,84,72,53,57,88,133,161,173,171,138,117,125,122,98,90,86,81,74,72,62,56,53,40,31,39,72,130,163,168,134,111,100,81,57,57,60,54,44,63,71,75,82,71,46,31,52,103,142,160,130,114,97,79,62,62,63,51,40,61,65,62,74,79,59,40,47,92,134,156,147,123,91,79,71,64,65,54,57,65,55,42,49,58,54,51,51,100,143,155,202,155,83,66,63,49,58,58,65,66,55,47,46,41,41,54,64,117,162,163,216,165,73,57,70,60,70,63,79,76,66,59,57,51,59,81,105,146,187,188,190,155,60,45,82,97,111,88,111,113,101,90,94,102,115,131,143,156,187,204,205,178,70,44,98,145,176,147,136,152,148,138,149,166,167,165,148,136,163,199,198,156,91,113,135,142,123,114,137,186,176,156,140,142,131,153,143,142,149,163,180,158,108,123,126,127,124,135,158,196,191,173,146,147,139,152,132,131,136,146,165,152,112,126,125,126,133,155,176,198,199,186,141,141,139,141,133,133,138,145,165,141,95,119,135,145,145,158,185,194,201,192,134,133,135,129,141,144,151,157,1
201,165,151,121,92,99,102,102,124,126,140,142,118,100,101,106,121,165,184,170,169,170,190,168,122,107,104,109,135,124,131,141,135,122,110,99,107,129,143,146,158,160,184,172,137,119,109,113,133,121,127,144,143,134,121,106,106,101,98,109,148,136,157,163,145,122,106,121,122,118,131,143,132,123,123,123,139,122,98,96,127,123,156,180,169,128,103,131,126,122,131,135,120,110,116,121,154,147,116,89,152,134,147,170,183,154,117,131,143,127,126,131,123,114,111,106,156,165,140,100,194,169,147,144,175,180,140,129,147,131,132,143,138,126,115,101,146,168,161,133,203,200,178,148,167,183,150,136,135,131,145,158,150,133,122,111,103,132,144,139,175,191,206,190,164,172,172,139,141,132,154,129,146,176,122,116,122,127,128,124,174,189,209,201,182,184,178,148,145,144,134,109,123,149,137,128,137,137,131,120,160,173,196,206,199,196,186,164,165,172,136,109,107,122,141,125,158,160,159,156,132,143,168,191,199,198,192,186,180,187,164,134,114,122,140,124,140,138,135,133,108,116,135,160,180,187,192,203,181,178,186,157,130,138,142,138,143,136,128,123,101,107,112,126,150,163,178,202,183,170,189,170,137,139,142,147,136,125,114,110,107,112,102,98,117,131,152,182,178,170,177,183,148,131,156,154,153,136,119,110,115,120,100,83,94,108,128,161,161,165,160,196,164,130,180,170,156,139,122,117,113,117,111,95,87,97,112,119,135,154,163,162,160,156,165,185,157,137,161,131,114,119,114,103,100,109,117,118,124,136,141,146,156,161,173,192,163,143,168,138,116,120,117,112,115,124,123,116,117,120,117,123,138,145,156,173,174,157,185,157,119,119,115,114,124,134,127,114,111,111,106,111,124,128,136,155,180,166,197,173,0
88,93,87,80,92,101,103,108,113,112,100,89,79,67,74,97,109,92,82,88,93,99,94,89,100,104,103,106,110,107,95,89,88,80,80,94,100,88,84,94,103,108,100,93,103,107,106,110,112,106,93,91,102,101,97,102,95,89,91,101,110,112,101,92,101,107,108,114,109,108,97,92,103,107,104,107,93,90,91,95,103,108,101,95,104,107,104,106,98,109,104,94,93,90,82,81,78,75,73,71,89,100,102,101,110,107,94,90,91,116,116,95,80,66,53,50,52,51,48,44,87,98,100,100,105,100,86,81,97,118,112,80,57,44,35,35,29,30,29,29,95,102,97,91,95,92,83,82,99,113,96,53,29,25,29,36,20,22,24,27,101,118,103,91,105,99,80,86,96,109,95,52,26,32,38,31,18,24,30,32,106,114,100,91,103,103,92,94,87,99,92,65,45,41,33,17,30,28,26,26,99,98,94,93,98,102,99,93,80,89,86,66,47,41,41,41,49,43,37,36,88,87,96,101,96,98,99,90,81,92,94,78,51,38,45,58,41,40,39,42,90,90,100,103,92,91,100,101,98,102,105,97,75,55,42,39,43,50,60,68,94,95,93,90,85,85,95,110,122,106,90,86,91,85,65,45,64,74,88,96,88,94,83,80,92,87,86,104,123,102,78,73,90,106,97,78,79,82,87,91,83,94,82,86,110,99,83,98,103,100,90,86,97,110,105,88,101,95,90,88,96,96,85,83,93,95,94,100,99,99,99,98,95,90,89,90,92,81,96,95,96,96,90,89,97,98,95,97,94,94,94,93,92,90,91,93,100,85,96,94,90,91,92,97,104,104,100,97,94,95,95,93,94,97,101,104,111,90,96,91,79,80,91,103,109,111,108,99,95,97,97,93,95,101,107,109,118,93,94,89,1
154,148,149,155,159,159,165,175,184,190,187,151,98,69,59,48,32,46,56,58,145,146,151,156,161,165,168,171,170,173,167,131,82,58,49,37,30,41,51,53,140,149,154,152,156,165,165,160,155,154,145,113,74,55,47,32,29,39,47,49,147,158,157,144,145,157,159,150,146,142,133,106,74,59,49,31,35,41,47,51,157,165,158,138,136,151,157,148,145,140,132,110,81,68,53,31,41,44,50,54,160,166,156,137,133,147,153,147,147,142,136,116,90,79,64,42,47,47,52,59,157,160,153,139,133,138,137,132,130,127,124,108,90,85,78,59,56,53,57,65,152,155,151,140,131,127,120,114,103,101,101,91,79,81,81,67,62,58,62,70,155,157,152,140,127,114,97,82,80,74,70,63,57,66,76,71,64,63,68,77,148,154,149,134,114,95,78,65,59,57,60,56,51,63,79,79,75,74,77,83,146,149,144,124,97,73,58,50,43,44,51,51,47,64,85,92,89,87,88,91,148,145,134,113,86,63,49,43,42,41,46,48,52,76,102,108,102,99,97,96,149,136,118,97,77,60,48,43,46,40,41,49,63,95,123,129,113,111,107,104,144,128,106,87,70,53,44,42,42,35,39,51,73,111,140,144,128,127,124,117,138,123,105,86,65,46,37,39,35,33,44,59,81,117,146,150,141,143,139,131,134,124,109,90,64,41,32,36,32,37,52,69,86,117,144,149,149,151,148,140,135,122,103,85,64,49,43,41,33,29,48,80,105,132,150,151,159,158,140,137,130,117,99,81,61,46,41,40,40,37,56,88,112,138,154,153,160,160,145,145,127,114,97,80,61,47,42,41,49,47,67,97,120,144,158,154,158,160,148,152,128,114,99,83,64,51,47,47,54,54,75,103,124,148,159,152,153,157,148,154,0
169,176,171,186,193,187,190,178,168,175,190,172,141,163,193,179,146,125,109,111,149,155,149,166,175,170,169,153,162,170,190,182,158,170,180,153,127,116,107,107,144,141,129,144,160,162,168,154,147,151,166,162,144,147,140,107,129,134,136,134,153,141,116,125,143,157,176,171,162,158,161,151,137,140,134,111,152,169,180,179,164,150,121,121,135,149,170,168,168,165,162,153,145,151,156,150,168,187,200,199,177,171,149,148,150,153,167,164,159,161,160,158,159,164,169,174,168,177,184,183,170,177,167,169,168,162,175,174,175,176,173,174,179,176,172,176,157,153,151,152,147,160,158,166,164,161,179,184,191,187,176,172,176,166,153,154,145,132,124,128,132,136,137,139,153,171,174,165,161,166,151,155,175,157,134,152,161,164,161,153,143,148,148,145,152,166,168,162,157,162,148,146,161,146,133,154,173,171,166,160,168,181,188,184,179,176,168,160,154,160,149,145,155,147,144,166,175,167,161,159,185,198,205,199,189,181,177,173,172,176,167,161,166,160,156,167,166,156,149,151,180,185,185,178,172,173,181,187,192,192,185,180,181,176,164,158,162,154,148,148,162,169,178,182,183,180,178,177,183,184,183,180,182,184,175,160,158,159,156,149,122,133,152,173,186,184,175,166,172,173,174,168,164,172,171,156,156,168,170,158,75,79,94,121,150,168,176,177,180,180,176,159,143,148,151,138,158,179,185,171,77,94,86,74,94,125,137,136,137,154,165,158,147,148,158,167,158,174,187,188,71,83,73,61,76,104,120,128,125,137,145,147,155,166,175,181,181,193,202,204,82,91,88,84,93,107,120,136,149,152,148,152,173,187,188,188,179,185,190,191,93,107,117,126,129,124,126,145,180,181,165,163,188,199,190,189,162,162,162,164,0
194,191,187,185,182,181,181,179,192,183,185,157,147,150,116,99,104,88,76,75,202,200,197,188,180,175,178,182,183,181,188,161,141,136,112,109,114,93,74,68,204,204,201,190,177,172,177,185,183,181,188,169,146,130,108,108,117,97,77,68,201,201,198,190,179,175,179,184,187,183,185,174,150,120,92,83,97,90,82,78,201,200,198,194,189,185,182,181,188,196,192,175,133,85,60,51,64,77,90,96,206,204,202,200,198,193,188,184,195,214,202,164,98,43,37,38,43,71,101,114,203,204,204,202,198,196,196,197,206,215,178,124,60,21,35,36,33,65,99,115,195,199,203,200,194,195,202,209,210,200,136,77,32,14,37,32,24,53,85,101,198,201,204,204,205,206,208,209,189,147,77,55,35,12,29,32,34,45,60,84,197,201,206,208,207,206,207,206,177,128,54,34,30,20,31,25,34,45,54,75,195,201,208,211,209,207,206,204,182,133,64,36,33,32,40,33,26,47,60,82,192,200,207,211,208,207,208,210,184,141,81,40,23,21,32,37,31,70,91,113,190,197,205,208,207,208,214,218,189,140,83,40,23,24,32,44,50,105,130,144,188,196,204,207,207,209,217,224,186,118,60,26,25,35,35,47,66,126,146,149,186,195,205,210,208,211,216,222,174,99,44,16,17,27,26,50,92,146,147,137,183,196,208,213,211,211,214,219,191,118,73,43,32,33,38,79,127,170,152,130,195,206,214,211,205,206,213,217,216,175,132,77,40,40,57,96,140,153,124,127,186,201,212,212,206,206,209,211,216,194,174,139,118,119,121,140,149,164,137,145,177,194,209,212,207,205,205,205,204,198,196,176,170,177,161,156,147,163,141,154,171,190,207,211,207,204,205,203,196,194,192,169,169,184,159,138,138,154,135,153,1
165,164,161,159,159,160,162,163,164,166,168,170,170,169,167,167,166,166,164,163,168,167,165,164,163,164,165,165,166,169,171,173,173,172,171,170,168,168,166,165,172,172,171,170,169,169,169,168,170,171,174,176,176,175,173,172,171,170,169,168,175,175,175,174,173,171,170,169,171,172,175,177,178,177,175,174,174,173,171,170,178,177,177,176,174,172,169,168,169,172,175,177,178,178,176,175,174,173,172,171,180,179,178,175,173,171,169,169,169,171,175,177,179,178,177,176,174,173,172,170,183,181,178,175,172,171,170,170,170,172,175,178,179,179,178,177,173,172,171,169,186,183,179,175,172,171,171,171,171,173,176,179,180,180,179,178,172,171,170,168,187,184,180,178,176,174,170,168,173,174,176,177,178,178,177,177,171,170,168,166,182,179,177,176,175,174,172,170,173,174,176,177,177,176,175,175,171,170,168,166,176,175,174,174,175,175,174,172,173,174,174,175,175,173,172,171,170,169,168,167,176,174,173,174,175,176,175,174,174,174,174,174,173,171,169,168,169,168,168,168,179,176,175,175,176,176,175,173,174,174,174,174,173,171,169,167,168,169,169,169,179,177,175,175,176,176,174,172,173,173,174,174,173,171,169,168,167,168,169,170,177,176,173,174,175,175,174,172,174,174,175,175,174,172,171,169,166,167,169,171,174,172,171,172,174,175,174,173,173,174,174,175,175,173,172,171,166,167,169,171,172,171,171,174,178,181,181,180,179,178,178,178,179,177,174,171,168,168,168,168,171,170,171,174,178,182,182,181,180,178,177,178,178,175,172,169,168,168,168,168,169,169,170,174,179,183,184,183,180,179,177,176,176,173,170,167,168,168,168,168,168,168,170,174,179,184,185,185,181,179,176,175,174,171,168,165,167,167,167,167,0
181,151,137,152,139,115,107,79,127,168,185,163,149,171,198,206,175,150,128,125,171,156,147,154,127,103,112,106,147,169,182,177,174,182,186,183,151,133,116,112,164,154,141,142,119,105,131,139,159,162,169,174,169,157,150,150,128,130,137,146,161,146,123,129,130,131,155,160,150,142,145,150,133,108,111,133,139,149,163,174,150,144,127,140,157,154,162,160,132,120,122,131,119,99,109,139,168,165,161,155,141,153,148,161,172,156,153,150,119,109,116,134,137,127,133,151,170,166,158,147,151,163,149,154,164,147,140,138,108,115,130,142,140,133,138,149,154,160,161,156,169,167,133,130,149,140,135,132,100,125,148,142,121,110,122,138,156,160,157,145,146,152,140,141,151,118,90,107,101,154,153,135,131,110,117,155,175,172,155,133,121,143,145,141,139,104,81,99,120,157,161,152,153,143,138,152,173,174,164,149,104,136,143,131,120,99,92,113,143,162,173,167,166,167,153,137,163,174,181,181,117,141,136,114,103,104,117,139,163,173,190,172,155,170,160,134,152,175,199,210,131,138,126,104,101,116,136,151,170,179,199,164,136,167,171,151,153,182,213,225,112,117,116,111,116,134,149,154,160,168,186,138,122,177,187,173,156,182,213,227,99,109,127,136,133,138,146,145,153,152,158,113,126,204,206,185,165,181,203,220,114,127,153,161,141,126,127,125,157,148,144,101,143,234,223,192,176,181,194,209,112,131,178,157,115,94,120,110,135,133,109,108,168,228,227,195,188,190,174,204,130,131,154,143,141,133,141,118,135,134,114,113,163,215,220,204,186,184,164,189,123,118,120,115,149,150,145,124,155,152,131,126,154,184,193,194,181,176,151,171,97,104,100,92,135,134,132,132,174,165,145,139,152,162,167,178,176,169,142,161,0
65,90,97,98,105,101,106,133,155,131,123,133,127,114,108,103,100,79,64,65,79,84,91,115,129,104,89,114,115,114,133,142,122,100,94,93,90,73,63,66,74,91,103,116,118,95,92,124,105,113,134,141,120,104,102,102,74,63,58,63,58,100,116,111,117,119,121,135,109,105,114,122,117,113,108,98,73,67,65,69,59,95,108,118,151,163,139,120,119,106,107,117,118,118,117,108,85,79,76,76,67,90,101,119,150,149,127,121,126,104,94,93,85,89,113,131,88,79,68,62,69,100,109,111,125,122,110,113,95,64,51,51,40,40,70,102,94,79,60,48,67,111,119,107,128,139,108,74,66,38,38,57,51,36,43,60,113,94,69,53,89,90,118,151,154,129,85,47,45,48,50,49,46,44,45,46,67,93,95,65,108,102,125,157,146,105,67,44,53,54,53,50,45,44,46,49,47,70,92,97,115,102,123,147,122,72,45,43,57,58,56,50,44,43,46,50,43,54,81,110,113,106,123,135,101,59,47,55,56,58,59,53,48,44,47,51,55,53,67,88,118,121,133,128,92,63,60,64,48,55,60,58,51,47,49,53,59,56,58,65,116,120,131,122,87,60,54,51,45,54,61,62,56,51,53,57,57,61,64,63,113,110,124,130,102,67,52,48,49,58,65,64,56,53,57,63,64,69,74,79,119,109,129,154,134,91,69,69,55,62,67,64,56,54,60,67,71,72,82,95,126,120,135,170,176,135,83,53,57,51,67,64,57,62,55,55,60,66,99,107,129,122,129,153,161,138,105,87,68,54,68,72,70,72,63,64,68,82,119,120,135,127,126,137,146,144,137,131,88,56,61,68,67,67,63,75,111,117,147,146,137,134,131,133,142,152,158,160,158,110,101,103,98,97,105,132,138,119,132,139,1
167,188,171,142,145,153,153,161,159,154,150,159,170,161,158,172,168,167,166,165,196,190,162,143,144,137,132,143,167,184,187,177,168,152,144,150,160,159,158,157,183,155,129,132,141,125,117,133,158,185,190,174,160,147,130,123,149,156,166,172,161,134,122,139,152,139,133,144,137,153,154,150,154,150,132,120,150,165,184,196,178,160,154,162,161,156,155,157,130,136,134,139,149,147,140,143,162,172,182,187,182,167,163,157,141,139,145,144,134,142,143,140,139,134,140,161,164,163,162,157,158,144,147,147,126,116,121,118,139,155,152,138,136,139,146,159,161,158,154,149,150,134,148,161,137,115,113,106,144,160,152,133,144,162,162,153,166,163,162,162,163,141,130,178,180,129,121,126,140,136,141,142,146,172,180,152,160,156,161,172,155,162,157,178,182,168,171,161,162,153,142,133,139,162,171,159,165,156,148,146,139,165,165,165,182,201,200,163,171,166,150,142,153,163,165,166,163,152,134,121,129,133,120,114,141,175,172,138,153,162,155,155,172,168,155,160,154,147,129,110,144,120,101,96,114,139,153,160,152,162,155,154,166,159,146,152,153,148,133,117,138,120,128,133,130,130,142,181,183,184,170,155,154,156,156,160,159,156,148,137,127,122,149,153,142,132,126,155,203,202,193,175,162,172,180,172,159,161,170,178,167,156,169,156,150,155,141,152,194,199,208,196,179,190,196,172,148,161,188,216,176,163,152,149,160,181,174,143,157,168,179,197,211,202,184,181,157,150,168,195,142,130,127,134,148,170,175,160,145,151,155,166,178,171,157,156,147,140,156,179,140,123,123,134,140,153,168,172,152,151,145,149,159,154,144,146,156,148,161,181,156,135,134,144,140,139,160,180,171,166,154,154,163,159,152,155,147,140,153,169,0
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38,50,39,28,40,46,50,67,63,62,60,58,54,48,42,38,29,32,36,40,39,48,51,52,58,56,54,62,67,67,65,61,58,56,59,60,61,57,53,52,51,50,66,82,78,70,72,72,77,73,68,63,61,63,69,74,66,57,48,44,61,50,69,90,81,75,84,84,80,72,61,57,58,62,63,63,45,40,34,31,60,47,66,87,77,71,80,81,67,55,44,43,50,52,47,39,35,38,41,40,59,59,73,87,80,68,65,64,46,36,28,31,39,41,33,23,31,38,45,46,64,75,80,79,75,58,43,42,29,26,25,27,31,32,26,20,23,28,33,35,68,84,78,62,58,41,22,24,27,28,29,29,27,25,23,23,21,22,23,26,78,88,69,47,42,30,18,26,23,27,30,30,28,25,23,23,26,29,34,39,76,73,57,43,37,28,20,25,21,21,19,17,18,22,30,36,41,47,55,62,80,59,48,42,31,22,23,22,28,27,23,23,28,39,53,62,58,66,76,83,82,51,44,44,24,16,24,24,28,28,27,30,37,50,65,76,99,105,111,113,73,45,41,43,24,18,31,36,45,43,40,42,51,67,86,99,127,127,125,120,60,42,36,37,31,33,44,50,64,59,55,54,64,83,107,121,138,133,125,117,59,51,34,32,48,56,59,62,60,61,62,67,78,93,110,122,149,141,132,127,66,62,37,32,62,76,68,68,70,78,91,103,114,124,130,134,133,125,118,117,75,63,43,43,68,83,84,88,113,113,116,122,128,130,133,136,152,113,93,100,80,74,63,71,100,116,115,117,126,126,129,133,137,138,140,141,145,114,101,112,78,78,76,93,126,141,136,134,137,137,138,139,142,142,140,137,133,114,117,133,76,79,80,99,132,144,136,131,137,138,137,136,137,136,131,124,114,109,125,148,1
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37,58,85,87,74,77,86,84,86,63,56,45,39,41,40,58,94,98,96,105,47,57,70,67,58,70,88,91,77,51,43,37,37,44,50,75,115,108,93,96,58,58,60,52,46,64,84,87,62,34,29,29,33,42,57,94,126,111,84,87,61,60,61,56,50,63,73,66,46,23,26,28,26,31,52,97,117,107,81,89,60,58,61,59,55,64,66,51,34,19,30,29,21,21,38,82,109,112,89,94,60,58,59,58,56,66,67,53,26,21,34,30,21,20,29,62,105,125,102,91,67,65,67,65,62,71,71,57,24,21,33,26,24,30,30,46,92,135,122,102,74,73,78,76,71,76,72,55,24,19,28,22,26,40,34,39,70,137,143,128,87,81,81,89,96,88,71,58,25,24,22,22,27,34,40,42,79,129,165,167,96,93,91,94,94,84,68,57,41,30,17,18,25,33,41,47,85,127,155,157,90,88,88,89,89,84,71,62,60,35,16,18,28,35,44,56,74,110,130,129,91,89,86,87,91,90,78,66,66,36,16,26,38,42,49,61,85,122,142,142,111,106,98,95,100,99,84,66,53,28,16,32,45,47,51,61,103,146,174,176,111,107,100,96,99,100,84,64,35,21,19,34,45,48,52,60,108,154,184,187,95,100,98,89,86,83,72,57,26,25,27,36,42,49,59,69,116,153,176,175,93,104,104,89,73,65,53,41,28,32,36,36,41,52,66,78,108,137,148,141,107,107,90,61,70,73,42,40,28,34,35,36,44,55,82,118,108,106,112,126,100,102,92,69,79,89,68,69,72,59,39,40,63,83,105,131,104,103,109,120,87,90,89,69,79,94,84,89,102,91,80,91,116,123,123,132,121,118,122,128,83,86,88,69,71,88,86,92,106,114,124,141,151,135,123,130,143,141,140,142,1
132,129,135,138,142,155,161,151,122,122,131,144,143,134,133,142,152,130,113,115,123,118,133,154,156,146,129,109,91,91,99,117,129,131,128,125,138,122,109,109,119,108,125,153,149,118,87,66,72,69,69,84,111,133,136,128,127,120,115,114,123,111,117,124,105,79,63,52,68,62,52,53,84,123,142,140,116,121,125,124,127,121,115,91,60,51,58,58,63,63,51,41,60,98,126,133,101,116,127,126,131,125,109,75,43,44,60,64,70,80,78,64,63,84,108,119,97,117,130,125,140,115,91,69,49,48,59,61,84,99,103,88,72,73,90,104,108,125,131,118,149,104,73,65,57,52,55,56,89,101,105,88,64,56,70,87,116,131,128,106,150,118,79,52,43,44,49,53,92,101,93,73,60,52,54,68,133,167,112,88,142,113,75,52,50,57,57,53,81,90,82,64,52,46,53,71,128,160,119,108,131,106,71,47,48,60,58,47,65,75,70,56,48,44,56,78,96,125,104,111,137,116,80,49,43,53,55,46,52,63,62,54,52,49,63,87,82,100,90,106,158,138,102,65,48,50,54,52,51,60,60,57,58,54,64,88,106,109,101,108,165,147,115,82,60,51,53,57,57,60,56,58,61,57,65,87,115,110,105,103,158,139,116,100,82,63,56,60,62,59,50,55,64,65,75,98,110,104,106,101,152,132,118,116,106,81,66,67,63,56,45,52,67,75,89,114,120,114,121,113,144,136,135,141,133,103,74,61,68,59,56,63,69,73,87,104,108,126,130,123,123,122,135,151,151,124,95,79,72,62,57,66,75,82,95,109,115,132,134,127,94,100,120,146,155,139,116,102,94,81,73,80,92,101,110,118,126,140,138,128,82,86,103,129,145,142,130,120,117,100,87,92,106,115,121,123,136,146,139,124,1
202,199,201,209,213,209,207,208,204,209,206,199,194,196,196,191,192,192,192,192,204,200,201,207,208,204,201,201,201,202,199,192,188,190,190,186,189,189,187,185,203,200,200,205,206,203,200,200,204,203,199,192,189,190,190,187,183,182,180,178,200,199,200,204,207,208,206,205,203,202,198,195,193,192,189,186,177,177,175,174,201,201,201,202,206,208,207,205,196,192,190,191,189,186,180,177,178,178,176,175,203,204,203,200,202,205,203,198,195,189,186,188,188,182,176,173,184,183,181,179,204,206,205,200,202,207,205,199,203,193,186,188,188,183,180,179,188,187,186,184,203,206,206,202,205,212,212,206,207,194,185,185,185,182,181,183,190,190,190,190,209,209,209,208,208,208,207,207,204,198,191,190,191,190,186,180,187,185,185,188,209,209,209,209,208,208,208,207,205,199,194,192,194,193,190,186,196,196,197,199,209,209,208,209,208,208,208,208,206,202,197,197,198,198,196,192,202,204,207,208,208,208,208,209,208,209,209,208,209,206,202,200,200,200,198,196,205,208,212,211,208,208,208,208,208,209,209,209,212,209,206,203,202,201,200,198,208,211,213,211,208,208,208,208,209,209,209,209,211,210,208,206,205,204,203,203,211,212,213,211,208,208,208,208,209,209,209,210,211,211,211,210,209,209,210,211,211,210,209,210,207,208,208,208,209,209,209,210,209,211,212,212,213,214,216,218,208,206,205,207,209,209,209,209,209,209,209,209,207,208,210,210,208,208,210,211,208,211,215,217,209,209,209,209,209,209,209,209,207,209,210,209,208,208,210,212,213,209,204,201,209,209,209,209,209,209,209,209,208,209,209,209,208,208,210,212,211,199,183,173,209,209,209,209,209,209,209,209,208,209,209,208,207,208,210,213,209,191,169,155,0
188,187,185,183,183,183,185,186,192,191,187,182,177,173,170,169,159,167,181,197,187,186,185,182,182,182,185,186,188,188,188,184,180,174,169,166,156,158,166,176,187,185,183,181,181,181,183,184,185,188,190,189,186,178,170,165,153,149,149,152,186,184,182,181,179,181,182,183,186,189,191,190,187,179,171,167,151,145,141,141,186,185,183,181,180,181,183,184,187,189,188,186,182,176,170,167,150,144,140,142,191,188,187,185,185,186,187,188,189,189,186,182,178,172,168,165,153,147,144,148,197,196,193,192,191,192,193,195,195,194,191,186,181,175,170,166,161,153,149,152,201,200,198,196,196,197,198,199,199,200,198,195,189,181,174,169,171,162,155,157,203,203,203,202,202,202,203,203,204,205,203,199,190,182,175,172,169,167,164,161,207,207,207,206,206,206,206,207,209,209,207,202,194,186,179,176,174,172,169,166,210,209,209,208,208,208,208,209,212,211,208,202,196,188,181,178,175,174,171,168,209,208,208,208,207,207,208,208,213,210,206,200,194,187,180,176,171,169,167,164,208,208,207,207,206,206,206,207,214,208,204,197,193,186,178,173,170,169,166,164,209,209,208,208,208,207,208,208,215,208,202,196,192,186,178,171,174,172,170,168,209,209,208,207,208,207,208,208,211,205,198,191,188,182,174,167,172,171,169,167,208,208,207,206,207,207,207,207,207,200,191,186,183,178,169,162,167,166,163,162,210,207,207,210,211,207,203,204,198,188,188,173,166,168,157,163,165,162,158,154,212,209,208,210,209,203,199,200,194,184,184,169,163,165,155,161,164,162,159,156,214,211,210,210,206,199,194,195,188,178,179,165,160,163,153,159,161,159,157,154,213,210,210,209,204,196,192,193,184,175,176,163,158,162,153,159,157,155,152,149,0
123,122,147,162,144,134,130,115,115,129,143,156,168,168,142,111,127,124,130,144,131,125,142,154,139,130,131,124,126,133,144,161,180,190,180,164,137,131,128,132,143,133,140,149,137,129,135,139,133,131,138,160,181,189,189,186,161,153,139,127,147,141,146,154,146,136,141,152,133,124,128,149,160,157,155,158,168,167,155,137,137,145,154,159,153,141,140,151,134,123,122,138,144,136,134,141,158,167,167,157,122,149,161,157,149,136,131,139,140,130,129,141,147,147,152,164,168,177,183,182,115,156,168,150,138,128,121,127,139,137,142,153,161,165,171,178,177,174,176,182,115,164,173,145,129,122,116,123,133,139,152,164,170,171,168,168,163,151,147,160,125,140,136,120,114,116,121,131,145,163,158,140,141,147,139,131,143,136,134,159,111,128,125,105,103,116,132,145,144,130,98,73,70,77,93,116,131,136,130,144,116,127,120,98,97,118,130,125,100,73,41,31,30,27,50,90,142,164,149,146,127,126,116,105,117,140,126,86,53,37,23,29,33,22,33,66,150,189,174,162,123,113,111,125,155,179,140,65,37,32,22,26,33,28,33,52,120,174,178,179,127,114,125,154,183,198,151,68,27,27,20,23,37,42,42,51,91,149,175,195,143,135,156,178,183,186,153,89,48,37,24,29,48,55,59,71,103,145,172,195,152,151,179,191,172,167,154,114,103,70,34,31,48,57,73,99,128,148,165,179,139,159,188,173,172,166,137,159,150,116,96,75,79,116,138,151,175,168,145,128,157,162,176,160,172,182,161,186,200,175,166,151,154,182,193,198,183,175,149,129,176,166,170,157,182,201,181,205,209,194,200,193,192,209,205,200,187,182,159,139,184,171,176,169,196,211,183,201,206,198,212,208,205,213,201,193,192,191,171,151,1
178,160,134,140,127,132,125,136,134,139,148,126,140,128,134,136,157,150,157,180,166,151,134,148,132,128,121,137,136,132,125,114,132,121,135,134,152,147,149,160,154,146,132,145,126,127,128,153,149,137,116,123,141,124,141,128,149,148,147,147,140,150,147,150,127,132,129,142,145,133,115,142,153,131,141,120,147,154,156,151,127,157,161,159,136,144,125,111,133,122,116,149,149,135,137,116,139,150,162,165,132,153,145,137,125,149,137,122,150,130,133,154,139,144,133,119,130,141,157,170,151,145,119,117,115,141,135,130,148,119,137,148,132,163,137,128,136,138,150,164,164,143,116,129,126,131,107,100,110,78,114,130,124,178,144,136,150,142,146,159,145,156,143,138,133,119,100,64,58,68,69,67,93,137,162,161,153,143,135,137,145,151,134,124,109,87,74,49,51,49,41,37,51,87,135,169,165,151,136,127,139,141,127,122,101,68,58,46,47,43,45,45,38,44,86,134,157,153,145,134,123,122,114,119,100,60,51,48,46,49,58,62,47,35,56,89,113,129,147,153,122,113,101,109,89,47,39,39,44,47,49,45,39,41,53,66,67,100,137,154,161,149,127,123,94,47,38,38,42,46,44,37,39,47,49,44,59,96,134,148,203,197,178,163,120,63,48,45,47,52,53,49,46,45,41,34,71,107,142,152,210,217,208,194,141,75,52,43,54,54,51,46,40,38,44,51,75,112,148,159,183,185,195,171,126,73,41,63,60,43,48,44,43,45,45,66,92,130,135,160,163,169,179,156,120,77,47,62,57,41,46,45,47,51,55,79,111,139,133,156,136,148,158,135,111,85,55,60,56,41,48,49,54,63,71,98,133,147,128,149,118,133,142,119,105,94,64,59,58,44,52,54,61,73,85,115,143,150,125,144,1
207,206,206,206,206,207,208,209,210,210,210,211,212,210,206,203,206,204,201,197,207,207,206,206,207,207,208,209,209,208,208,209,210,209,206,203,208,204,200,196,207,207,206,206,207,208,209,209,208,207,206,206,208,208,207,205,209,203,196,193,208,207,207,207,207,208,209,210,209,207,205,206,207,209,208,208,206,200,192,189,208,208,207,207,208,208,209,210,210,208,207,207,209,210,210,209,205,198,190,187,208,208,208,208,208,209,210,210,211,209,208,209,210,210,209,208,204,198,192,188,209,208,208,208,208,209,210,211,210,209,208,209,210,209,206,204,205,202,197,193,209,208,208,208,208,209,210,211,208,208,208,209,210,208,204,201,207,205,201,197,206,207,209,210,210,209,207,206,207,207,208,209,209,209,208,208,200,211,205,194,207,207,209,209,209,209,207,207,207,208,208,208,208,208,207,206,208,217,206,193,207,208,208,209,209,208,208,207,208,208,208,208,207,206,205,204,213,218,202,184,208,208,208,208,208,208,208,208,208,209,208,208,207,205,204,203,213,213,192,168,208,208,208,208,208,208,208,208,209,209,209,208,207,206,204,204,216,212,185,157,209,208,208,207,207,208,208,209,209,209,209,209,209,208,206,206,217,210,181,152,209,209,207,207,207,207,209,209,209,209,210,210,210,209,209,208,211,204,173,144,210,209,207,206,206,207,209,210,209,209,210,211,211,211,210,210,202,195,163,134,207,206,206,207,210,211,210,209,207,208,210,211,211,210,215,222,212,161,115,106,208,208,209,212,214,215,213,210,215,215,212,206,199,193,194,196,176,144,114,106,209,210,211,214,215,212,207,203,209,207,200,187,174,166,162,162,142,133,121,111,211,211,213,213,211,204,195,189,192,192,185,171,157,150,146,144,131,135,130,116,0
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147,167,166,162,166,156,152,174,182,186,192,194,191,191,195,203,185,180,173,167,143,155,155,159,172,170,164,174,174,189,199,199,193,190,195,201,185,186,188,188,161,169,166,162,168,168,168,179,191,198,201,198,200,209,210,206,200,198,192,184,175,183,178,162,150,151,167,186,199,196,189,191,206,211,187,156,178,184,186,182,169,171,169,156,145,152,168,175,185,184,183,189,196,181,134,89,114,143,176,195,174,164,161,160,162,171,166,143,140,138,138,137,129,110,83,64,78,120,164,184,185,169,166,170,174,181,162,121,89,78,70,67,59,46,42,47,62,109,157,173,178,165,168,172,167,174,162,124,87,69,61,69,67,49,35,34,27,90,157,188,174,171,155,170,169,163,163,107,82,69,76,69,61,52,34,36,25,100,165,185,175,166,145,162,163,161,171,125,89,69,64,54,50,48,32,33,34,111,172,186,175,163,146,169,170,164,172,130,85,69,67,51,42,40,29,37,41,117,172,175,168,162,156,189,191,171,163,111,67,66,76,60,42,36,32,47,56,126,169,160,154,155,156,196,200,176,155,90,62,59,68,53,42,44,39,51,77,135,165,151,147,149,146,184,195,183,163,92,76,59,51,37,43,58,49,49,92,133,150,137,155,154,144,174,195,200,186,110,88,71,64,48,51,65,55,54,101,124,127,115,165,166,151,177,203,218,207,126,87,88,94,74,62,66,59,64,107,119,114,102,167,169,167,201,212,210,210,156,92,84,92,83,67,61,62,87,118,119,106,95,162,165,168,204,211,205,213,172,88,79,88,81,69,70,80,111,113,116,105,95,163,165,170,210,212,199,212,184,96,82,88,83,77,85,102,138,108,112,105,97,171,167,172,218,217,195,206,181,114,91,90,87,89,99,113,148,105,111,106,99,1
133,119,85,89,137,155,152,169,108,113,118,99,83,120,165,173,175,123,148,102,126,133,104,88,130,168,175,182,151,111,91,86,72,86,131,166,140,100,132,95,120,145,123,93,132,188,202,194,182,99,56,65,60,50,90,147,118,96,133,105,125,145,126,103,143,202,212,195,183,104,55,63,63,48,70,114,105,103,136,115,148,136,113,114,157,198,203,189,176,141,103,86,81,70,66,73,83,96,120,105,165,126,109,136,171,181,178,175,168,180,157,113,93,86,65,48,69,96,112,104,154,118,127,177,194,166,146,146,152,190,179,126,99,93,80,71,73,112,123,122,133,113,150,214,214,159,122,120,139,183,181,132,106,101,106,118,81,125,134,137,121,145,198,210,201,167,114,118,143,149,166,159,106,103,145,133,67,127,151,148,140,186,225,215,183,151,123,129,138,136,143,136,94,99,141,129,81,140,172,172,171,215,220,201,177,153,141,127,122,119,118,111,83,96,137,125,95,147,196,194,211,235,213,194,170,137,127,105,102,107,113,114,90,98,135,131,104,145,204,200,225,238,214,198,156,97,90,91,99,114,131,142,117,108,141,150,120,139,201,190,206,197,178,177,150,96,85,103,125,135,150,169,148,122,148,167,141,132,189,166,200,175,165,162,149,115,98,129,168,156,153,178,165,131,149,174,156,121,169,135,223,207,210,181,142,107,95,146,200,167,144,172,168,132,145,173,161,111,151,110,223,235,234,201,157,100,78,130,183,173,149,156,161,175,146,168,152,125,109,132,193,204,224,209,165,108,90,136,183,172,147,151,161,173,146,168,155,129,114,138,129,132,184,206,169,119,112,154,183,172,145,143,161,170,145,170,153,126,110,135,87,76,145,196,168,129,130,165,182,170,142,133,162,167,144,171,154,124,105,126,0
161,144,160,139,156,201,168,139,134,149,179,200,190,184,143,159,161,169,187,199,160,158,179,147,142,175,161,156,153,142,154,175,167,171,142,155,163,187,204,201,136,156,191,168,153,163,142,140,162,138,148,171,148,147,132,140,145,191,201,178,127,149,179,172,169,167,136,128,156,141,163,193,147,131,125,131,137,189,191,156,143,153,158,152,161,163,148,153,160,149,162,194,154,142,146,150,162,203,194,164,142,154,149,145,156,151,146,165,179,160,141,166,152,163,180,183,183,200,194,181,141,158,151,158,174,155,138,149,186,176,135,149,148,167,187,192,177,174,179,193,165,171,153,166,193,170,142,142,179,190,150,153,145,155,173,182,167,155,173,207,160,154,174,165,147,159,166,166,179,187,144,139,166,175,182,170,155,165,192,213,151,140,155,162,171,188,184,184,176,181,140,148,167,173,168,163,155,155,172,189,152,156,166,158,161,164,154,166,164,171,136,158,173,181,160,157,162,154,162,173,152,169,168,141,146,157,144,152,143,158,133,156,174,193,158,146,164,157,165,174,185,193,171,131,153,187,163,143,133,153,143,152,177,199,158,136,152,150,162,173,189,201,189,146,155,193,180,158,145,163,172,164,191,197,160,143,146,144,157,167,144,162,182,158,148,177,186,182,158,166,197,179,203,176,153,158,160,151,155,161,149,146,168,160,144,157,156,147,156,154,201,181,202,149,138,166,176,157,151,154,182,164,139,150,158,149,150,140,140,157,178,181,167,154,160,174,167,155,152,135,175,162,142,155,163,155,157,148,150,159,172,178,173,162,159,163,155,151,158,149,165,160,147,161,168,162,167,161,162,160,166,176,181,173,160,152,143,146,161,157,160,160,150,163,168,163,174,171,167,160,163,176,186,180,162,148,143,149,166,160,0
147,126,138,151,162,105,90,101,108,116,121,121,121,119,101,80,81,85,90,92,150,153,174,171,128,60,44,57,60,75,90,99,108,112,99,80,80,82,84,84,159,177,198,177,88,32,23,32,23,39,56,69,82,92,88,79,80,79,79,79,188,198,198,164,62,35,31,29,22,31,41,46,54,65,70,70,79,79,79,81,220,222,203,146,42,28,28,18,27,35,41,41,41,46,52,58,76,78,79,82,223,227,200,123,33,18,22,15,21,32,44,46,41,38,40,45,68,72,79,81,218,215,177,91,37,24,35,29,22,34,47,49,39,31,34,41,59,69,80,84,224,207,153,63,43,37,50,41,33,41,50,46,32,24,30,41,52,66,83,89,224,199,137,64,31,40,51,46,52,48,41,34,30,28,30,31,40,59,81,92,218,194,137,72,41,45,46,36,46,47,48,47,40,31,23,18,29,48,68,79,212,188,140,90,69,73,71,59,40,44,46,47,41,32,22,15,28,45,66,78,200,178,141,108,101,109,107,95,49,47,41,36,33,31,30,31,28,47,72,87,182,166,142,127,125,127,115,100,69,60,47,34,28,29,34,39,30,49,73,90,168,159,151,148,147,136,112,91,83,72,57,43,33,28,28,31,44,59,79,90,155,151,152,159,161,150,128,110,91,83,71,59,50,47,47,47,69,78,90,96,141,138,141,155,165,162,151,143,102,95,85,75,72,74,78,83,85,90,96,97,127,122,110,100,140,142,145,149,130,107,90,79,66,68,81,87,60,77,89,90,125,119,105,87,119,119,130,145,126,107,98,92,80,78,86,90,73,87,95,90,115,117,106,83,104,98,112,132,120,106,105,108,98,89,93,93,82,91,92,81,106,113,111,92,109,94,100,115,113,102,108,118,108,96,97,98,86,90,84,69,1
116,126,114,68,29,24,48,66,77,91,92,114,108,82,91,90,108,93,72,59,144,153,136,83,38,35,56,73,85,93,92,108,101,80,92,96,94,71,45,36,154,167,147,88,41,37,56,68,91,88,76,83,77,68,92,110,98,62,30,24,142,160,148,93,45,38,51,57,88,69,48,45,44,49,84,118,114,69,32,28,132,155,152,111,64,46,49,52,78,49,30,24,25,34,62,100,111,69,34,31,128,149,154,124,79,49,46,52,71,37,25,22,25,28,36,66,95,65,39,35,120,134,142,122,78,42,39,54,71,30,23,22,25,27,21,46,77,62,46,40,113,122,129,115,74,36,37,59,73,27,17,16,21,26,18,45,64,59,49,41,105,122,132,112,69,39,46,65,77,39,23,24,14,20,35,34,56,91,60,44,95,99,108,97,63,46,61,77,82,40,18,19,13,18,30,30,75,107,79,62,86,75,82,82,56,53,78,91,97,49,19,20,23,26,33,37,89,118,101,86,79,60,69,77,57,57,85,100,106,55,18,21,30,32,41,53,100,125,125,118,68,54,65,81,69,64,87,108,106,53,12,13,28,31,43,68,107,125,141,141,55,49,59,82,88,77,87,116,113,62,14,13,28,28,47,88,101,107,126,125,46,47,48,77,105,89,83,116,129,79,27,20,32,28,52,106,104,93,104,94,45,47,41,71,115,96,77,113,140,91,36,25,32,25,51,113,125,100,103,83,24,41,54,68,85,88,91,105,135,137,69,40,37,27,68,112,122,130,125,108,21,39,53,66,83,86,89,103,150,155,97,84,91,70,89,113,130,138,135,120,21,40,55,68,84,87,90,104,156,160,107,110,127,100,98,104,126,135,137,127,25,45,61,74,89,91,94,110,156,153,97,102,124,98,92,96,110,120,126,125,1
96,102,98,82,74,80,88,90,92,90,84,77,75,79,81,80,59,60,68,78,98,98,94,85,80,83,85,86,93,93,87,78,75,76,73,69,66,65,68,75,100,96,93,94,93,89,87,88,100,101,96,89,83,81,75,68,70,66,64,67,97,93,97,104,101,92,91,97,113,113,110,105,102,99,91,81,73,69,65,65,90,93,101,109,103,94,98,111,125,125,122,117,116,113,105,94,86,80,74,72,100,108,117,118,110,106,116,129,133,133,129,126,126,126,119,109,99,97,90,83,115,123,127,120,116,120,131,140,137,137,134,134,140,146,143,136,119,120,115,105,121,128,125,114,112,124,134,136,139,139,138,142,154,166,168,163,138,142,141,131,113,116,129,146,154,150,150,153,136,143,148,150,159,173,181,180,160,150,144,147,120,125,134,145,154,160,164,166,154,159,163,168,176,186,186,181,171,160,151,152,135,141,141,137,143,156,164,162,166,169,172,179,188,193,186,175,172,162,153,152,139,147,141,127,131,151,162,158,161,159,162,172,186,189,179,168,160,156,151,150,129,139,135,121,127,153,166,161,146,142,145,159,175,181,173,164,155,153,147,143,118,128,126,115,120,139,148,141,131,126,130,148,166,172,168,163,161,155,142,128,112,120,121,115,116,124,124,117,117,113,120,139,156,160,156,153,160,157,147,134,104,112,118,119,121,124,122,114,105,104,113,133,148,150,144,142,150,158,162,161,95,98,105,115,125,131,133,133,130,122,126,134,139,146,144,130,138,145,151,152,84,85,90,98,107,116,122,124,124,119,124,129,131,139,141,129,118,125,129,129,76,75,75,79,87,96,103,106,106,105,112,113,111,121,128,120,112,117,118,114,76,73,71,72,77,82,87,89,91,94,101,99,93,105,116,112,119,121,121,114,0
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123,144,145,178,229,198,142,149,145,159,135,140,190,184,151,164,150,153,153,150,148,159,148,160,193,178,150,163,169,170,155,171,208,190,155,162,142,144,144,144,152,157,147,142,154,157,158,169,165,154,150,173,196,181,161,166,151,148,141,135,156,159,158,147,144,157,167,163,154,143,143,152,156,160,168,172,176,173,163,149,173,172,169,154,145,164,177,165,160,164,165,146,130,148,171,169,186,192,192,183,159,158,151,136,134,158,177,172,154,176,181,150,127,147,167,160,176,186,193,190,126,138,141,135,138,151,160,160,150,176,181,155,140,150,160,158,170,171,167,161,117,145,162,164,164,156,143,139,169,189,186,165,156,156,157,162,174,163,145,134,123,139,189,185,152,156,150,128,144,169,163,152,164,158,152,173,169,166,153,144,120,117,152,161,153,168,156,126,124,151,164,167,170,158,145,149,154,167,166,159,130,114,134,142,144,161,151,129,134,143,163,177,165,151,147,146,130,158,167,158,143,143,172,171,157,156,144,136,150,136,162,188,163,139,143,145,128,157,163,146,145,163,199,197,178,168,150,145,145,124,161,198,166,133,136,137,155,175,169,147,142,151,165,155,157,169,158,153,149,136,164,183,154,135,145,144,162,175,167,151,133,138,140,123,143,173,160,147,152,165,178,159,131,142,156,142,144,160,165,165,121,145,163,153,173,193,158,129,135,178,191,151,125,148,150,112,131,153,173,188,124,133,136,144,160,159,149,148,156,157,155,142,132,142,146,129,143,167,192,203,107,115,121,133,151,154,150,150,154,151,147,138,132,142,148,139,155,171,187,191,96,101,110,124,141,150,153,153,158,149,138,132,132,137,145,148,160,167,169,165,99,100,110,124,136,148,157,156,169,153,134,128,130,129,135,149,162,161,154,144,0
179,175,165,162,172,187,195,192,191,198,207,202,190,192,196,184,183,169,154,151,176,177,183,178,183,192,187,186,196,193,199,199,194,195,189,172,174,164,156,155,175,176,201,196,195,201,178,178,186,177,179,188,192,195,184,161,152,152,158,168,174,170,199,196,198,203,172,171,179,164,165,177,183,183,170,148,139,148,166,183,172,162,179,182,192,198,173,170,184,166,163,172,169,165,158,146,148,155,168,179,168,162,159,173,188,191,185,176,185,165,161,169,165,162,167,169,162,160,160,160,170,174,158,183,198,191,207,193,195,169,160,165,161,163,180,192,163,161,161,162,175,191,166,201,213,195,226,207,215,182,165,165,158,157,175,190,162,165,176,188,170,179,191,214,206,193,208,209,197,189,165,158,153,151,168,171,166,168,191,215,185,189,187,204,205,192,201,201,212,196,172,176,174,161,172,175,166,165,184,206,185,187,173,186,197,186,189,189,198,180,160,176,178,159,164,169,171,166,180,197,171,179,166,179,194,184,184,184,185,179,164,172,170,155,163,162,173,166,174,187,171,183,180,192,197,184,187,182,189,200,187,177,165,161,173,165,169,162,169,178,179,184,189,201,187,177,188,174,168,191,181,164,152,158,177,168,166,163,172,178,177,169,179,192,169,171,196,174,152,170,161,152,146,151,170,166,157,159,171,178,173,154,165,182,158,173,212,185,174,179,167,164,159,153,168,165,142,148,163,170,177,183,175,164,167,172,178,191,187,182,162,167,172,169,172,159,144,173,160,151,179,185,179,173,177,177,178,186,200,194,173,177,182,180,185,172,164,192,175,162,183,183,174,169,177,180,182,190,203,195,172,175,181,181,186,175,170,197,179,167,189,179,159,152,166,177,189,204,198,187,162,164,172,174,180,168,168,194,176,162,0
110,109,117,137,160,184,207,221,214,212,210,209,208,209,210,210,217,215,210,204,138,150,172,195,209,215,219,221,211,210,209,209,209,209,209,209,210,212,213,213,151,176,208,229,231,225,216,209,207,207,208,209,209,209,208,208,204,209,215,220,152,181,212,224,219,213,208,203,204,205,207,208,209,209,208,207,204,208,214,217,161,192,218,219,209,209,211,210,203,205,206,208,209,208,207,207,207,209,211,212,166,201,225,220,207,208,210,206,206,206,207,208,208,208,207,207,207,208,209,207,167,203,227,218,204,206,208,201,209,208,208,207,207,207,207,208,207,208,209,209,173,208,229,218,205,211,214,207,211,210,208,207,206,206,207,208,207,209,210,210,156,207,229,212,205,213,210,202,206,206,206,207,207,208,208,208,208,209,210,211,153,206,231,216,206,212,212,208,206,206,206,207,207,208,208,208,206,208,209,211,157,208,232,217,205,208,209,209,207,207,207,207,208,208,208,208,209,210,212,214,173,213,228,214,205,206,205,205,207,208,208,208,208,208,208,208,210,210,211,213,188,215,221,211,209,211,207,205,209,208,208,208,208,208,208,208,208,207,207,207,189,208,212,209,213,214,207,204,209,209,209,209,208,208,208,208,211,210,208,206,176,196,205,206,209,205,195,192,210,210,210,209,209,208,208,208,212,211,209,207,163,187,200,203,201,191,179,177,210,210,210,209,209,208,208,208,206,204,202,200,152,188,214,213,202,183,167,166,206,215,200,203,211,204,208,204,204,203,203,202,158,189,209,208,202,190,178,177,204,217,205,206,211,202,205,201,207,207,206,205,165,191,203,201,202,199,191,189,195,215,208,210,211,201,205,203,208,207,207,206,170,191,199,195,203,206,198,193,181,209,210,212,212,203,209,208,205,204,203,203,0
136,129,151,131,120,102,119,152,150,152,152,150,149,151,153,153,161,154,136,137,137,136,156,130,123,112,122,138,137,132,127,125,130,136,139,139,146,145,139,142,139,140,158,131,132,128,130,132,131,119,106,104,112,121,124,124,134,136,147,155,136,126,143,127,135,130,128,129,135,121,108,102,106,112,119,124,115,111,136,158,127,103,118,116,130,115,111,122,131,123,116,111,107,109,122,137,123,113,140,172,125,96,112,116,129,107,103,119,121,119,119,115,107,107,127,151,154,143,153,171,117,99,122,122,134,116,112,123,120,118,117,115,107,108,132,161,164,165,152,138,104,100,129,123,134,125,121,124,129,123,118,115,108,110,135,164,176,190,165,128,115,110,143,147,135,121,105,132,129,140,113,117,119,123,123,169,184,183,169,146,106,115,136,133,121,114,104,110,120,136,121,127,124,124,123,169,175,177,168,150,104,127,126,119,110,108,109,91,106,127,121,132,122,118,117,159,165,169,166,155,115,136,120,117,112,105,117,95,105,120,116,128,114,110,110,145,159,164,165,159,132,134,114,122,120,106,120,112,114,117,110,122,107,107,107,134,156,160,162,161,136,125,113,126,125,109,115,121,115,114,108,122,103,103,103,124,154,157,160,162,131,115,121,127,125,115,104,118,114,116,120,137,111,108,108,125,149,152,159,164,124,110,130,127,123,120,98,111,118,126,139,160,129,122,121,137,144,149,158,165,130,116,128,124,112,115,115,125,126,135,142,141,136,130,126,123,140,137,135,135,143,127,134,124,106,107,111,127,143,143,144,143,138,133,136,142,136,134,134,135,149,137,148,137,112,107,111,131,144,138,138,144,139,130,134,149,142,142,142,145,144,140,162,157,128,114,116,137,133,126,135,152,148,129,127,142,145,147,150,153,0
126,126,135,153,134,128,169,185,165,127,121,139,137,137,150,158,146,181,205,198,144,137,133,145,134,131,156,156,151,124,108,114,125,139,151,150,135,168,198,205,173,158,139,142,142,146,163,151,119,117,107,113,138,149,134,118,129,143,155,158,195,187,161,157,160,171,191,181,183,154,102,79,106,133,148,166,144,143,142,141,200,210,195,188,185,185,200,200,217,155,70,33,51,79,122,177,142,146,151,154,196,222,220,217,203,180,181,184,163,99,40,28,36,38,66,112,133,140,141,132,193,220,221,224,210,170,159,165,132,65,25,31,34,34,57,85,120,135,138,121,194,216,212,218,209,166,152,162,96,36,12,28,31,37,50,58,74,111,138,137,176,214,200,203,192,194,160,125,55,38,24,25,29,34,47,64,43,103,137,126,176,205,206,224,218,178,117,67,47,40,32,28,23,25,38,56,35,90,131,140,170,196,212,222,207,134,83,51,48,52,50,39,28,27,39,52,34,86,137,163,177,197,210,207,199,126,89,58,41,47,46,36,28,30,38,45,51,110,165,188,188,201,204,204,224,178,129,65,44,41,36,35,38,45,52,57,78,146,194,198,171,199,201,199,220,209,180,128,66,47,34,38,49,57,65,73,104,167,202,190,161,203,201,196,192,205,210,197,117,83,57,60,67,67,75,91,139,182,202,192,179,216,202,205,194,209,211,207,199,154,120,117,115,106,113,133,176,200,212,209,162,195,199,203,209,207,216,211,209,208,183,160,155,146,144,164,201,209,214,213,154,189,197,206,214,211,217,213,206,207,183,160,155,146,148,172,205,211,215,213,142,178,190,205,216,213,216,210,202,203,179,156,151,141,149,179,207,211,213,210,134,167,181,199,212,209,212,207,199,197,173,150,143,134,145,180,206,209,209,205,1
191,187,183,179,172,157,135,118,113,109,104,97,89,88,99,113,128,138,132,123,207,203,197,192,186,171,151,135,121,114,105,95,89,89,102,117,131,142,137,127,211,206,203,199,194,184,169,157,143,129,112,98,90,91,103,115,132,146,143,132,203,201,199,200,200,195,187,178,171,151,125,105,92,90,99,109,131,147,146,135,200,200,200,202,205,204,199,196,189,167,140,116,99,94,100,109,135,150,148,136,199,200,199,202,203,201,198,195,192,175,150,129,112,104,108,118,142,153,145,130,195,196,197,199,197,195,190,187,189,177,159,141,122,112,117,126,143,150,138,122,194,196,198,198,198,195,190,187,189,181,167,149,129,116,120,129,139,143,129,113,193,195,197,198,197,194,190,188,183,180,169,152,140,132,121,111,124,122,118,115,188,190,193,194,195,194,190,189,188,189,182,165,148,135,121,111,118,117,117,117,187,189,192,192,192,191,190,187,188,194,191,174,151,135,122,115,112,114,117,121,194,194,195,193,192,190,188,186,186,190,185,167,144,127,122,123,114,119,125,129,197,198,197,196,194,193,193,191,190,184,171,148,127,117,121,129,121,128,136,141,195,195,195,196,195,198,200,200,197,180,157,135,117,111,117,128,129,137,147,153,192,192,191,192,194,198,201,201,195,170,143,124,115,111,116,123,135,144,153,159,194,192,191,189,191,194,196,197,185,159,132,119,116,114,116,120,139,147,156,160,196,195,191,188,190,194,195,192,181,155,128,121,120,119,119,123,136,143,147,145,193,194,190,187,190,195,196,192,178,153,130,122,121,119,121,126,130,135,136,132,187,188,185,183,186,193,194,191,177,156,136,128,124,122,127,135,136,138,135,127,178,179,178,177,180,188,190,188,177,160,144,136,131,128,134,147,147,147,141,131,0
34,50,74,85,73,59,67,86,87,78,72,78,89,92,81,69,72,109,152,177,41,48,63,74,69,63,70,87,84,73,75,92,101,89,75,70,104,130,159,175,40,38,44,54,58,61,70,81,81,74,82,100,98,81,83,101,141,151,159,162,33,29,33,44,53,60,69,78,80,81,85,87,81,83,115,153,167,163,156,150,29,31,40,50,60,68,75,81,82,82,78,76,86,120,160,185,176,167,157,151,25,32,45,58,68,75,81,84,83,80,77,88,127,173,191,187,169,162,158,158,27,35,49,63,77,85,86,85,79,81,96,129,172,201,200,187,165,161,161,167,36,42,53,70,87,98,96,91,72,86,122,166,195,200,196,196,173,169,171,178,42,48,63,86,105,105,88,72,83,129,149,149,164,174,179,190,177,169,168,176,43,61,90,111,106,88,84,95,134,157,154,139,141,146,153,171,180,173,170,174,49,77,117,129,104,78,94,129,161,164,149,134,130,130,140,160,180,176,173,172,61,92,120,118,96,92,121,156,154,148,141,140,138,133,137,150,169,173,176,175,82,100,103,88,89,119,150,161,148,140,142,151,144,133,133,136,152,164,175,178,97,102,87,69,94,145,165,151,147,135,142,149,141,136,138,136,141,153,164,167,95,94,80,75,112,161,167,143,142,133,141,146,136,139,149,143,143,149,149,142,86,83,78,90,128,166,166,142,142,136,146,149,134,140,150,139,150,148,136,120,86,75,73,109,163,180,157,137,136,139,139,137,140,148,149,145,132,144,121,88,85,84,89,117,155,162,142,130,136,139,138,136,138,144,144,140,137,140,106,67,82,94,109,128,148,145,133,132,141,143,141,138,138,141,141,138,140,134,88,44,82,100,119,135,147,143,139,147,150,150,148,145,142,142,141,140,142,127,75,34,0
170,164,169,175,176,189,208,211,215,212,207,208,208,205,200,194,186,174,158,146,189,184,175,157,155,183,208,207,212,210,206,208,208,204,198,192,183,172,159,150,196,204,195,166,159,194,221,214,208,207,205,207,208,204,197,191,180,171,159,151,173,191,203,188,177,199,222,220,207,205,206,208,208,205,196,189,181,172,159,151,144,155,173,174,159,165,194,215,208,207,207,209,209,205,195,189,180,171,159,150,142,130,135,138,122,125,168,212,211,209,208,208,207,203,195,187,176,168,158,151,148,123,118,123,116,126,173,217,213,211,207,206,204,199,191,185,172,165,156,151,142,120,117,128,132,149,188,221,213,211,205,203,201,197,189,183,172,165,155,150,134,142,136,136,161,190,208,219,200,208,211,209,204,199,191,183,166,163,160,158,140,144,148,155,167,189,209,218,199,205,206,202,195,189,181,172,166,162,156,153,139,134,151,168,167,183,208,212,206,208,206,198,190,185,177,169,168,161,151,144,143,127,149,174,171,184,209,208,208,209,204,195,189,184,177,170,165,156,142,130,165,142,158,184,183,197,217,209,204,203,196,187,182,179,173,164,152,142,128,116,184,166,173,189,195,206,215,205,203,200,192,181,176,172,163,154,132,124,113,104,186,187,189,194,202,212,212,205,203,198,187,174,166,158,146,135,120,114,106,100,184,198,201,199,211,218,215,212,199,192,179,164,152,142,127,114,118,113,105,100,200,203,204,205,208,209,203,193,181,172,170,164,149,139,130,117,120,114,102,92,211,213,212,211,213,212,204,194,170,160,159,154,138,128,120,107,106,106,103,97,212,214,212,209,207,205,195,183,163,154,152,144,126,113,106,94,89,97,102,102,209,209,208,202,200,196,185,174,169,159,155,143,120,105,96,84,78,92,102,103,0
145,113,88,91,100,93,76,68,71,67,62,60,72,93,116,129,143,160,145,123,135,123,99,71,55,52,50,48,50,55,58,56,56,66,86,101,134,153,146,130,116,118,97,57,38,48,56,52,50,61,70,64,53,48,59,72,106,127,131,126,107,100,80,58,60,78,82,74,81,85,87,80,66,53,50,54,75,93,110,116,111,87,66,63,75,87,94,99,115,104,94,89,82,68,56,51,61,73,96,113,108,78,60,67,77,83,103,131,133,113,95,92,90,79,66,59,56,59,85,109,95,68,55,68,82,90,113,144,135,116,99,92,84,71,62,63,55,49,73,100,88,62,49,65,88,100,113,125,127,113,99,88,70,51,48,57,57,44,66,94,69,59,50,54,73,90,96,93,87,96,89,73,61,50,50,63,49,53,67,100,71,64,55,55,61,68,69,69,76,77,70,64,65,60,53,55,62,59,70,105,70,65,58,54,54,56,60,65,81,81,79,76,76,75,75,76,77,66,70,111,86,74,61,53,51,53,62,70,82,86,90,81,65,64,77,86,81,65,68,112,122,99,72,57,50,50,59,69,90,89,96,89,68,63,72,72,73,61,68,111,144,117,87,69,59,57,66,78,93,80,86,91,79,76,70,46,63,63,77,117,135,115,93,78,65,58,67,82,72,52,59,69,61,64,61,33,57,72,95,130,120,107,92,79,58,44,50,67,64,46,57,63,49,58,72,56,57,82,111,141,130,118,97,74,59,59,66,72,84,81,58,49,67,69,65,78,66,90,118,135,130,117,97,78,69,70,76,79,76,79,60,49,62,63,63,82,80,99,119,130,125,109,91,82,83,89,92,94,85,95,82,68,76,77,82,103,109,121,132,134,118,100,83,83,94,105,107,108,103,116,105,91,99,102,107,128,131,138,142,139,1
128,134,134,124,166,161,149,134,106,81,78,102,110,104,123,160,173,152,140,149,121,133,133,123,142,140,134,133,122,95,86,101,103,91,104,132,176,161,141,127,118,130,124,125,125,131,126,134,138,111,97,101,96,80,83,102,159,168,165,150,149,151,138,145,132,138,124,130,143,121,105,103,95,79,77,87,119,149,183,199,185,185,175,178,140,130,116,123,143,128,115,109,99,87,84,88,86,115,158,195,173,177,184,181,135,110,112,125,140,135,127,117,106,98,95,96,94,99,116,135,145,135,155,155,130,104,117,124,134,138,135,124,113,108,108,109,118,110,102,98,144,113,128,133,134,114,124,114,126,136,138,127,116,114,118,119,128,124,109,96,128,121,127,135,130,128,127,119,114,113,121,130,122,108,111,125,128,125,118,111,129,127,140,152,152,151,155,150,141,132,127,125,118,112,117,127,135,132,125,116,133,134,151,168,170,178,189,191,176,163,145,131,123,123,126,130,134,131,123,113,134,132,144,151,147,150,161,165,179,174,161,144,135,133,132,127,132,131,124,112,130,129,140,144,129,119,118,114,144,152,157,151,144,139,132,126,138,138,133,124,97,101,122,138,130,120,113,105,107,119,135,145,144,139,134,132,136,140,139,132,87,87,105,120,117,111,106,98,89,89,100,116,124,123,125,131,123,130,133,128,147,135,132,130,114,102,95,86,81,68,67,84,97,99,106,116,113,122,127,125,138,156,183,202,195,162,124,100,87,84,78,73,78,88,97,98,108,108,115,125,175,184,201,213,208,183,156,139,127,116,98,80,75,84,94,98,93,90,93,99,169,173,185,196,198,191,180,176,161,146,120,94,80,81,87,89,90,84,82,86,115,117,128,142,151,154,157,159,163,152,131,107,89,83,81,79,96,91,88,90,0
117,128,115,108,133,147,145,150,133,159,158,142,150,163,148,124,130,142,145,159,155,158,137,118,123,128,136,154,133,154,161,159,164,161,143,129,154,165,153,150,160,160,148,138,132,116,105,111,101,119,133,146,155,144,129,127,179,184,158,141,148,144,140,141,128,94,59,44,53,69,82,98,118,123,121,127,173,169,142,133,150,140,135,124,92,55,30,21,29,41,43,50,79,108,124,133,142,133,117,130,138,139,142,118,68,36,35,38,33,39,30,25,52,88,115,134,120,116,112,139,140,139,140,111,61,41,48,46,43,43,33,28,40,59,90,124,132,140,143,165,174,152,129,90,47,42,48,35,52,46,38,39,40,39,69,117,158,177,181,191,176,164,134,73,34,37,43,51,57,45,53,47,49,49,66,145,183,165,192,192,147,153,142,91,44,45,52,48,46,37,39,41,40,39,81,168,176,158,177,173,128,135,146,126,76,53,56,50,37,36,25,34,31,32,103,188,193,181,193,189,129,123,140,155,114,67,57,45,35,43,23,30,30,44,127,185,184,181,186,183,136,138,141,159,138,99,78,40,33,44,25,27,37,69,137,157,153,160,155,151,141,171,154,149,153,144,125,66,43,42,33,38,57,98,136,128,132,149,135,132,139,179,146,142,165,161,157,123,92,66,71,85,106,140,144,131,130,152,130,124,131,161,121,136,169,149,158,167,154,106,120,141,161,183,166,158,157,179,147,136,165,161,149,161,181,153,133,164,158,160,173,186,193,201,195,175,190,163,146,142,149,152,145,158,178,156,137,160,172,173,185,197,203,212,207,189,149,131,129,135,148,154,147,154,173,167,158,173,192,188,195,200,200,203,197,179,150,144,158,176,158,162,149,146,163,174,178,190,199,193,195,197,192,191,185,169,158,160,183,206,1
149,127,155,135,131,168,156,154,168,167,184,198,190,180,171,159,146,135,135,148,123,120,148,142,141,160,148,148,170,165,173,184,185,187,182,166,155,143,139,148,128,136,141,140,145,148,148,160,173,169,172,176,177,185,177,154,148,135,128,132,142,153,139,140,151,142,146,161,166,175,186,184,177,183,177,154,154,142,132,131,128,141,133,143,160,148,142,146,157,176,195,189,174,180,186,177,154,144,133,128,125,128,129,133,149,158,154,158,158,171,184,176,157,160,175,178,150,142,132,125,138,125,140,127,130,160,161,168,160,159,165,161,147,148,158,159,155,152,146,141,135,123,159,138,127,159,149,151,153,144,149,159,157,156,158,153,145,145,144,142,134,132,142,144,136,147,163,159,138,149,156,155,157,162,160,153,150,133,131,150,139,143,129,123,141,149,147,152,136,146,154,155,156,160,164,166,166,142,131,143,125,151,137,129,155,146,122,136,135,138,144,150,150,150,156,165,168,141,121,124,119,151,153,144,148,133,120,136,140,135,139,147,148,143,144,153,169,150,134,132,137,141,146,137,122,127,144,151,146,137,138,147,151,145,141,143,149,146,143,141,143,129,133,134,127,141,155,143,139,134,136,142,146,144,139,136,124,134,141,140,138,140,139,139,147,149,142,133,130,135,137,136,134,137,138,137,132,143,150,146,145,169,152,135,148,139,127,146,131,144,148,137,128,133,140,143,137,144,143,135,155,150,149,150,146,138,137,141,133,143,145,145,145,137,138,153,146,143,136,130,142,139,139,143,141,137,138,143,134,149,151,146,146,143,144,154,146,143,139,136,136,134,134,138,139,138,140,143,132,154,155,142,144,149,149,150,142,140,139,140,143,140,139,140,140,141,142,143,126,154,155,135,138,151,150,143,139,136,137,142,0
114,115,118,120,122,122,120,118,114,120,124,124,120,118,118,121,128,123,117,113,116,117,115,108,101,96,95,97,100,105,114,118,119,118,118,120,124,120,116,112,116,114,106,92,76,69,70,75,82,90,101,112,118,120,121,121,121,118,116,115,111,104,90,73,60,54,57,62,67,76,91,106,118,123,123,121,120,118,118,119,105,92,73,58,50,49,48,48,56,64,78,97,114,121,122,118,119,119,119,121,98,84,64,51,45,43,39,35,46,51,65,85,105,116,118,116,118,117,117,118,90,79,64,52,45,39,35,32,41,44,55,77,100,117,121,118,119,118,117,118,83,77,69,58,47,40,36,35,40,41,52,73,100,119,126,124,124,121,119,119,82,74,65,59,53,47,37,30,36,39,45,65,97,125,130,123,128,129,129,128,91,80,67,58,54,50,43,37,39,43,51,70,98,124,130,125,127,127,127,126,99,86,67,56,53,51,48,44,47,52,63,79,102,123,130,129,125,125,124,124,107,91,72,59,56,57,56,54,64,70,80,94,108,121,127,130,126,126,125,125,117,105,89,78,73,74,74,75,86,90,99,110,117,121,126,129,130,129,128,127,126,121,113,105,100,98,98,99,105,107,114,122,124,124,125,128,133,132,130,128,124,128,129,126,117,112,111,114,117,116,121,129,130,127,125,127,136,135,132,129,116,125,133,132,123,115,113,116,122,119,123,131,134,129,125,128,138,136,132,129,132,153,148,125,121,126,124,123,128,124,125,130,132,127,121,118,134,134,133,129,131,144,141,127,127,130,130,131,129,125,126,132,135,130,124,121,128,128,128,126,137,136,134,132,133,132,132,135,130,126,127,133,137,133,129,126,123,125,126,126,149,134,132,139,136,129,131,133,129,125,127,133,137,135,131,129,126,128,130,131,1
115,113,113,116,122,130,136,139,125,113,122,123,102,102,120,121,132,122,109,106,119,118,116,116,120,129,138,144,128,118,124,125,108,108,120,120,136,127,117,113,125,123,119,114,112,116,126,133,127,117,118,121,111,112,122,123,134,130,125,122,133,134,132,128,123,125,132,140,133,122,116,115,115,120,129,135,125,126,128,128,145,150,155,155,153,154,160,166,152,140,125,118,121,126,133,144,122,125,129,131,161,166,171,172,169,166,164,164,164,156,137,126,128,123,122,135,129,129,130,128,176,178,180,180,176,170,164,160,167,169,154,144,143,128,115,123,139,135,128,122,183,184,188,191,191,189,185,181,171,181,173,166,165,142,118,124,143,135,125,116,184,193,199,200,200,203,199,193,192,196,186,165,157,160,147,127,135,142,137,120,195,201,205,204,208,213,212,208,199,204,195,178,171,170,155,132,144,153,153,141,199,203,205,205,207,211,212,210,204,206,201,190,187,185,168,147,152,161,166,160,195,199,204,206,207,207,204,201,203,202,199,196,197,195,183,168,158,165,169,165,189,195,204,212,213,209,202,198,200,198,196,194,196,195,190,184,169,173,172,167,184,188,196,207,210,204,199,198,200,196,194,193,191,188,188,191,187,185,181,177,188,186,188,194,196,192,192,195,194,191,193,194,190,185,189,198,198,195,191,190,202,194,187,187,185,182,186,194,185,186,191,196,191,184,192,205,201,197,196,197,206,201,192,184,181,182,183,182,174,176,181,185,187,188,190,194,199,197,196,194,198,193,185,178,174,174,174,172,169,169,171,173,175,178,183,188,201,198,196,195,173,169,164,160,158,158,156,155,160,161,159,158,160,166,174,180,191,190,187,185,149,145,143,146,146,146,146,147,152,153,152,150,151,160,168,172,183,181,178,174,0
207,207,208,208,206,205,204,204,203,203,202,195,185,174,168,166,186,195,205,209,207,207,207,208,206,205,204,204,203,203,202,195,185,176,169,167,186,195,205,210,207,207,207,208,206,205,203,204,204,203,200,195,186,178,172,169,185,193,202,208,206,207,207,207,206,204,204,203,204,201,198,193,186,180,176,173,185,191,199,204,206,206,206,207,205,205,204,203,202,199,195,192,187,184,181,180,185,189,194,197,206,206,206,207,206,205,203,203,199,196,192,190,188,188,187,186,188,189,190,190,206,207,207,206,206,204,202,202,197,193,189,188,190,192,191,191,193,190,188,186,206,206,206,206,205,204,202,201,196,192,188,187,191,194,195,195,197,193,188,185,205,205,205,205,205,204,204,204,199,195,191,188,189,193,199,204,199,197,193,189,206,206,206,206,206,205,205,205,200,197,192,190,191,195,201,204,201,198,194,191,207,207,207,206,207,206,206,206,202,199,195,193,195,198,203,206,203,201,198,195,208,208,208,207,208,207,207,207,204,202,199,198,198,201,205,207,205,204,201,199,208,208,208,207,207,207,207,207,205,204,202,201,202,204,206,209,207,206,204,203,208,208,208,207,207,207,207,207,206,205,204,204,204,205,207,208,208,207,206,205,207,207,207,206,206,206,206,206,205,205,206,205,205,207,206,206,209,209,208,207,207,207,207,206,206,206,206,205,205,205,206,206,206,207,206,206,209,209,208,207,207,207,207,207,207,207,207,207,208,207,206,206,208,208,207,206,209,209,209,209,207,207,207,207,207,207,207,207,208,207,206,206,208,208,207,206,208,208,208,208,207,207,207,207,207,207,207,207,208,207,206,206,208,208,207,206,207,207,207,207,207,207,207,207,207,207,207,207,208,207,206,206,208,208,207,206,207,207,206,206,0
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172,150,141,166,186,172,166,188,186,196,197,184,152,137,146,140,157,158,157,154,169,169,154,142,148,155,162,175,185,211,207,167,130,137,161,160,147,149,155,163,163,186,172,132,125,147,164,171,181,183,157,101,65,85,135,171,178,174,176,186,155,178,171,140,133,148,163,174,190,140,100,73,54,51,93,168,211,198,191,198,160,155,146,145,147,142,149,171,168,99,67,75,81,57,57,125,197,188,187,194,188,156,133,146,158,140,136,158,125,71,47,49,72,63,43,90,181,186,194,202,209,175,143,148,163,148,129,131,99,66,53,38,61,70,54,106,184,199,208,207,210,188,157,148,163,157,125,102,71,54,60,48,65,68,54,120,180,198,204,192,179,168,168,178,180,163,114,59,50,56,73,69,59,60,90,155,200,197,203,180,152,163,172,174,168,142,87,35,54,56,63,48,53,85,131,190,197,184,175,162,143,162,161,144,127,99,60,34,43,48,57,51,70,121,159,191,176,159,141,149,152,159,149,131,108,73,48,51,46,40,56,66,94,137,149,151,149,138,125,151,150,147,151,153,126,73,47,56,59,40,61,88,121,155,149,136,163,157,149,173,151,133,142,151,113,65,51,57,44,38,88,138,172,201,189,165,154,150,144,149,155,128,133,124,70,46,58,55,40,59,128,172,193,224,216,185,174,172,173,163,154,130,138,115,49,41,66,49,69,95,154,165,162,200,205,178,163,165,177,165,129,141,142,95,59,57,49,52,84,136,156,146,150,158,160,168,170,161,163,177,90,105,113,75,48,54,54,62,78,137,163,154,153,155,153,157,167,158,159,171,84,99,108,73,47,54,56,67,87,151,176,158,148,148,147,153,174,166,165,173,105,117,124,87,56,58,58,70,108,172,189,155,136,139,147,158,183,176,174,179,1
77,70,65,80,102,91,58,40,48,75,73,70,88,81,69,87,90,83,81,76,64,58,61,89,115,99,64,49,61,80,73,69,93,98,90,103,124,112,109,108,56,62,75,95,103,76,47,42,46,60,48,45,79,107,117,128,151,136,135,141,64,85,96,88,73,49,36,40,45,56,45,41,74,114,139,153,152,139,146,161,91,108,97,65,53,53,50,50,48,60,59,52,67,94,114,126,134,129,143,160,126,116,75,37,43,60,55,44,40,53,63,62,58,65,77,84,109,114,131,141,138,106,53,25,35,46,41,37,55,56,66,68,57,55,68,80,95,108,125,124,126,90,45,29,34,31,34,50,70,56,53,52,35,34,54,70,97,115,131,122,132,95,67,41,38,54,53,54,73,64,69,63,42,41,54,49,80,115,115,110,164,136,84,36,46,65,62,83,87,85,82,70,55,55,53,41,70,109,108,98,166,158,105,45,56,63,45,70,76,86,81,71,69,64,51,43,67,103,100,90,147,147,120,68,55,57,43,55,49,64,61,57,59,44,34,50,84,102,93,97,146,135,139,100,57,63,69,67,65,69,63,61,55,35,46,92,119,114,99,119,141,126,155,137,78,68,68,49,75,64,57,59,55,49,82,134,154,141,121,142,127,121,153,149,108,82,58,42,58,45,47,55,59,77,108,129,158,157,134,139,124,121,135,136,126,104,76,82,74,66,77,87,98,126,140,123,139,152,129,117,134,132,111,128,143,138,145,127,117,126,109,125,138,142,112,113,113,101,92,91,129,130,120,142,160,161,172,160,126,144,133,138,129,112,71,71,85,74,66,66,120,122,118,137,150,146,153,149,147,163,139,122,91,73,49,64,77,67,60,62,132,131,132,143,145,136,135,134,163,174,136,100,60,51,44,73,67,57,51,53,1
209,204,175,183,211,169,99,88,115,105,78,98,167,188,157,140,169,170,184,204,207,209,193,187,185,141,90,82,127,119,80,68,122,172,160,126,157,161,172,182,203,214,214,193,156,117,92,87,119,105,74,54,88,152,169,137,155,163,167,165,202,212,220,190,135,109,104,95,90,75,73,70,76,124,162,153,147,157,156,142,207,207,208,176,121,103,105,89,68,71,93,87,65,97,147,151,151,166,170,155,208,198,189,156,111,95,95,80,61,87,112,88,55,92,145,150,157,180,197,197,198,188,174,147,112,97,97,96,66,85,99,79,53,83,128,138,154,176,199,209,184,179,168,146,120,106,112,124,76,69,72,71,54,57,88,113,173,188,203,208,173,161,163,152,121,113,125,124,80,67,63,49,52,50,45,95,163,166,175,186,146,159,168,150,115,99,105,109,84,68,61,48,52,47,41,83,131,130,138,150,145,161,151,115,90,83,88,97,89,70,59,54,58,54,49,77,117,113,112,118,157,169,141,103,98,99,89,85,85,65,52,55,64,63,60,73,118,112,108,110,151,179,171,149,149,139,103,77,79,57,43,55,64,62,64,61,104,101,102,110,147,180,194,183,172,155,120,91,83,62,47,62,68,64,68,51,84,88,99,112,156,169,179,173,159,152,134,105,89,70,52,71,72,66,73,48,73,83,102,118,164,153,157,161,155,157,139,101,86,69,51,72,72,65,74,45,63,79,104,124,159,145,144,151,151,149,140,125,100,64,53,78,92,86,69,53,85,92,138,155,127,130,144,148,137,132,134,132,110,76,58,68,80,88,92,87,118,120,163,180,113,123,143,151,141,138,143,142,98,75,58,55,64,90,114,118,144,139,177,195,124,125,139,153,158,161,155,139,116,111,105,99,105,140,173,180,153,141,173,191,1
186,174,165,171,183,185,169,152,127,125,124,124,129,134,135,132,127,140,144,137,145,149,155,161,168,175,181,184,169,135,116,134,161,166,160,157,134,137,135,130,130,138,145,151,155,164,176,186,180,150,132,150,181,194,185,173,143,135,129,127,143,138,138,146,158,166,164,160,162,169,159,141,146,173,184,176,153,141,136,141,140,137,139,152,168,174,166,155,160,172,159,119,100,119,148,160,128,119,119,132,130,137,148,160,168,172,171,170,164,157,150,138,118,102,108,122,123,119,122,132,128,136,147,156,162,169,177,184,172,160,159,170,164,137,118,115,108,106,101,97,128,127,132,144,160,176,189,194,188,183,178,176,179,175,162,148,142,139,126,107,123,126,126,141,172,190,195,201,193,200,192,195,184,170,184,189,173,185,168,136,131,136,139,155,184,199,203,210,213,216,203,199,182,166,183,190,192,200,180,150,146,153,156,167,190,201,205,213,226,229,216,212,195,180,192,195,195,196,174,148,160,166,165,168,182,190,197,210,222,230,222,224,215,202,207,202,185,179,154,132,162,169,166,164,171,178,190,208,219,224,213,215,211,202,208,199,186,175,149,134,152,165,168,167,170,174,186,206,216,220,201,193,184,180,194,190,189,177,154,144,136,158,172,176,177,174,179,195,203,214,199,184,166,161,185,191,181,168,149,144,125,155,177,184,183,173,170,181,185,208,204,190,166,159,187,199,170,157,141,138,127,146,179,197,191,180,168,151,175,205,218,220,196,169,187,222,161,152,157,150,117,142,184,209,204,191,174,153,165,191,216,232,221,198,204,227,183,163,162,158,109,137,183,210,209,199,184,162,151,168,199,226,229,216,211,223,195,158,155,160,110,136,175,198,199,198,190,173,149,152,186,212,216,214,209,218,194,144,143,161,0
121,133,125,138,154,146,137,120,120,131,122,116,121,108,106,135,122,124,122,116,119,124,121,143,154,130,123,122,106,109,119,122,113,113,128,140,131,129,119,105,121,117,109,137,144,116,119,138,125,125,153,160,134,135,147,131,138,135,121,102,129,118,99,118,130,116,131,154,120,121,131,125,106,108,110,92,122,129,123,107,132,128,102,108,127,129,140,143,88,92,69,48,57,64,62,68,88,107,118,114,128,137,116,116,135,137,130,106,66,75,51,37,57,56,43,54,64,87,112,122,124,138,124,128,142,132,109,74,59,59,55,54,56,45,37,39,55,70,95,116,121,134,124,132,142,124,95,62,74,51,55,57,34,34,54,54,48,55,76,100,140,133,126,118,131,118,73,67,63,58,52,49,45,43,47,52,48,63,77,81,146,145,152,153,148,111,59,58,62,56,49,48,47,46,50,55,56,67,74,72,134,137,160,169,153,105,56,61,64,56,48,49,50,49,50,53,56,64,67,64,124,127,149,155,143,112,71,68,66,57,50,52,54,52,48,46,55,61,64,64,125,124,138,134,132,129,94,69,62,54,51,54,58,54,50,47,59,60,62,63,114,108,120,112,118,135,109,73,57,53,50,54,57,55,53,53,54,54,58,65,111,94,102,94,95,116,105,82,64,58,53,52,51,49,52,57,61,62,71,84,131,102,101,87,75,90,92,86,75,66,57,50,44,42,48,57,84,86,96,111,132,113,101,89,93,94,80,94,80,78,84,64,46,62,79,88,109,108,106,104,139,124,114,100,100,96,78,90,96,86,101,112,109,110,118,127,118,117,115,114,113,106,107,96,98,95,80,93,123,99,108,142,143,124,123,132,127,127,127,127,85,86,91,83,87,90,80,94,143,112,106,136,133,107,109,115,132,132,133,134,1
89,93,95,91,86,87,83,81,75,76,78,82,86,90,94,95,92,89,84,80,88,92,94,89,84,82,77,73,76,78,80,83,87,90,93,95,90,87,84,81,88,93,94,89,83,79,72,68,75,77,80,84,86,89,91,92,88,87,86,85,86,92,93,88,83,79,74,68,72,74,77,81,83,85,86,86,89,89,89,89,79,85,87,84,81,79,76,71,71,72,73,76,78,81,81,82,89,90,91,91,71,77,80,77,76,77,76,73,72,72,73,74,76,77,79,80,91,91,91,92,68,73,75,73,72,76,77,76,79,78,76,75,77,79,82,84,90,90,89,88,70,74,76,73,73,77,80,79,84,83,79,78,79,82,86,89,90,89,88,86,67,71,76,77,74,72,71,74,86,84,82,79,78,79,79,80,82,82,82,82,69,73,77,77,75,73,74,76,86,85,83,80,80,79,80,81,81,81,81,81,70,74,77,77,75,75,78,81,89,88,86,83,82,81,80,80,79,79,79,80,70,73,76,77,77,79,83,89,92,92,89,87,84,81,79,77,80,80,81,82,67,71,75,77,79,83,87,93,96,95,93,90,86,81,77,75,82,82,83,84,66,70,76,79,80,83,87,92,94,94,93,91,88,83,78,75,85,85,86,86,68,72,78,81,80,81,84,87,89,90,92,92,89,85,81,78,86,86,87,87,70,75,81,83,80,79,80,83,84,86,90,92,90,88,84,82,87,87,86,86,78,78,77,78,80,80,78,77,79,81,85,89,93,94,89,83,88,87,86,85,78,78,77,79,80,80,78,77,78,80,85,90,95,94,88,82,88,87,86,85,78,78,77,79,80,81,79,78,77,79,85,93,97,94,87,81,88,87,86,85,78,77,77,79,81,81,80,79,76,77,85,95,99,94,85,80,88,87,86,85,0
142,132,119,106,113,156,200,215,196,150,141,172,191,197,194,176,201,200,193,181,161,150,141,130,131,158,184,189,195,151,144,174,195,200,190,168,184,176,168,165,156,149,145,134,122,137,168,181,217,185,170,176,176,174,170,162,189,173,161,164,166,167,174,162,135,134,164,189,205,202,197,183,160,149,157,167,194,179,171,175,168,159,162,159,137,125,141,159,176,196,204,191,171,160,163,174,173,170,174,181,181,140,121,129,137,150,173,190,198,209,199,178,176,175,170,171,158,167,177,178,122,66,36,50,73,100,137,163,186,199,183,163,172,179,169,164,153,169,177,168,65,19,6,14,22,31,60,87,103,145,159,160,179,185,169,161,140,159,164,151,31,15,21,37,32,21,25,29,38,52,91,140,183,163,164,146,128,120,128,139,30,21,26,33,24,20,24,26,35,29,46,91,148,145,149,125,103,99,115,132,41,32,34,36,28,26,30,25,29,24,36,75,131,130,133,107,84,86,109,135,66,38,25,31,28,26,26,23,24,43,73,105,140,124,125,101,82,84,111,138,113,59,24,25,24,20,26,31,44,71,104,125,146,127,129,107,90,90,113,136,177,120,77,63,52,49,64,80,95,109,122,131,154,145,151,126,105,102,119,138,208,188,166,137,106,105,123,135,146,156,161,159,178,170,177,150,117,112,126,142,197,218,224,188,144,141,157,161,166,188,202,196,202,183,186,159,117,112,126,140,186,191,194,177,151,148,159,163,164,171,211,213,211,206,202,151,113,106,118,133,178,175,177,173,167,175,180,169,162,163,193,202,217,206,187,139,99,93,107,125,178,177,180,177,172,178,178,162,161,158,171,185,219,195,158,118,93,89,108,133,176,190,199,183,159,156,160,154,167,159,156,168,214,178,129,104,96,94,118,149,1
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91,85,120,125,100,98,114,137,170,159,142,108,92,99,103,108,99,106,123,131,93,90,118,124,110,107,111,135,185,182,173,147,125,116,113,116,110,111,123,133,98,98,114,117,117,112,108,137,189,189,184,171,147,122,110,109,113,108,120,135,104,105,110,105,112,108,105,145,182,176,163,162,148,119,106,96,104,100,118,141,113,110,107,95,98,97,103,149,181,169,142,149,148,126,121,107,103,102,123,146,124,112,108,93,86,87,97,138,177,172,137,143,143,131,145,132,111,116,132,143,137,112,111,100,83,83,90,113,160,175,145,142,130,120,156,153,115,125,135,130,145,112,115,108,87,85,85,92,144,176,155,143,119,108,158,165,112,124,133,118,171,144,126,103,115,86,88,94,114,153,182,137,126,113,119,144,130,130,127,134,191,174,148,109,120,108,99,83,83,129,181,157,140,103,99,125,128,147,153,151,180,194,176,122,119,119,112,88,69,109,174,172,149,94,88,125,132,162,168,151,143,191,197,149,121,119,123,119,90,103,162,173,152,94,94,139,140,159,156,138,123,177,199,174,136,122,125,140,111,102,154,176,164,106,98,130,146,145,131,125,123,160,178,178,148,128,114,132,110,93,150,187,186,130,101,103,148,139,117,106,121,147,157,173,151,134,110,125,104,86,146,190,202,160,122,101,130,139,125,101,113,144,155,174,151,140,119,137,104,85,142,185,206,182,150,123,102,137,142,114,120,142,148,152,130,137,133,144,122,83,107,174,186,186,189,141,117,131,139,134,117,143,152,156,131,136,133,145,127,97,110,162,173,172,180,150,117,128,136,135,117,147,161,165,136,138,137,150,126,112,115,153,167,161,166,152,113,120,126,127,120,154,173,176,143,142,142,157,118,121,121,152,175,162,155,143,114,116,118,120,0
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65,66,110,127,118,129,142,152,149,127,119,147,179,180,172,180,180,171,165,167,82,97,136,125,113,156,172,151,145,130,131,149,163,167,173,179,182,180,174,166,129,134,162,138,118,170,187,148,132,129,144,149,141,152,170,169,179,185,180,161,168,142,164,159,138,167,182,156,116,123,148,149,129,146,166,151,182,190,185,162,169,136,154,163,154,174,180,164,112,121,146,147,134,156,168,136,191,196,188,168,161,150,162,155,157,184,176,152,123,128,140,142,147,172,172,137,187,187,179,166,163,171,173,153,165,190,169,146,143,142,134,132,153,181,174,145,170,169,167,164,164,174,172,157,178,193,167,160,157,151,127,120,152,180,172,152,159,159,163,167,182,167,163,160,173,176,160,167,164,143,117,111,130,153,156,146,148,161,173,175,180,160,154,153,166,167,150,160,165,148,127,121,135,152,153,145,138,146,155,159,172,150,147,153,168,165,145,158,158,145,130,129,143,157,158,152,136,137,140,142,159,141,146,162,182,174,148,158,152,137,125,130,149,166,168,163,143,136,129,130,143,132,146,168,190,180,148,151,157,137,122,128,150,168,171,166,150,136,126,127,135,130,145,163,187,181,146,141,166,144,127,131,148,161,165,164,161,145,135,137,137,135,145,156,181,187,156,147,159,144,133,137,148,158,167,173,171,155,145,148,142,142,148,152,179,196,172,163,145,137,135,142,150,159,175,188,172,155,145,147,150,164,160,153,166,179,177,172,131,142,131,146,153,181,180,194,176,149,139,147,141,157,156,155,171,183,176,166,129,142,134,148,155,180,178,190,175,149,141,152,132,149,152,156,177,188,175,159,132,145,142,152,161,180,179,189,176,152,147,160,132,147,150,156,180,190,174,154,141,152,151,155,167,180,183,193,178,157,155,170,0
173,157,172,157,139,126,131,97,94,110,107,110,139,152,151,158,185,136,132,120,186,160,174,165,146,123,135,122,86,106,116,116,125,138,157,174,157,117,117,110,167,140,159,164,147,111,121,120,108,122,139,138,123,123,136,139,104,83,91,94,166,141,151,149,137,104,110,109,119,119,139,153,143,140,134,112,88,88,100,111,184,165,159,137,135,121,128,118,137,123,130,139,130,127,119,97,89,101,105,109,146,150,153,131,141,137,130,105,125,108,96,85,71,69,76,81,79,99,86,81,100,115,128,108,119,105,88,61,54,50,38,31,33,36,49,70,71,102,88,81,111,116,110,77,75,53,43,30,24,27,16,16,32,26,20,34,56,99,92,93,139,120,88,55,30,19,19,22,26,21,17,20,23,26,33,39,68,85,102,107,110,91,63,39,24,18,19,22,18,20,25,30,32,36,48,60,94,99,102,101,99,77,50,28,20,19,18,17,21,29,40,47,50,56,75,95,105,98,85,76,98,75,48,32,34,40,42,40,45,50,61,69,73,85,108,129,132,121,102,87,83,63,43,42,60,80,91,93,81,78,80,86,96,110,133,151,150,143,128,110,73,57,45,54,81,108,124,126,107,99,94,99,111,126,145,158,143,141,130,114,80,69,62,72,96,118,127,127,117,110,106,111,122,135,151,162,148,148,142,129,88,79,76,86,107,123,126,123,118,114,114,121,129,140,154,165,154,153,148,141,105,116,122,121,123,125,121,117,122,128,126,123,129,145,160,168,161,159,147,141,125,142,152,147,136,128,121,119,128,132,131,127,131,143,156,164,161,160,147,140,151,172,186,175,149,128,118,119,133,138,136,133,134,141,151,159,164,164,150,140,169,190,200,185,153,125,113,116,134,140,141,139,138,141,149,157,169,170,157,145,1
108,117,121,121,118,122,135,148,153,159,165,169,170,175,183,189,196,195,186,172,108,114,119,121,121,125,134,142,158,164,171,176,177,179,187,191,198,197,189,178,116,119,122,127,131,135,139,142,161,169,178,183,185,185,186,188,194,194,190,183,130,129,128,132,137,143,147,149,164,172,181,186,187,184,181,181,183,184,183,181,145,141,135,135,138,146,154,159,169,176,184,187,186,181,177,174,171,170,172,175,159,156,150,142,139,147,159,173,178,180,185,186,183,178,171,167,163,162,164,168,161,162,158,146,136,140,159,175,182,181,181,179,176,170,163,159,156,152,153,158,151,156,154,140,125,127,146,167,181,179,176,172,168,163,156,152,151,146,145,149,132,142,148,139,123,119,133,149,161,165,167,160,150,146,152,159,150,144,137,133,127,134,136,131,121,117,123,131,139,143,147,146,142,143,150,156,151,146,138,134,127,127,128,127,123,120,117,115,114,119,125,131,134,139,144,148,151,147,142,139,120,122,122,123,120,113,105,100,101,106,112,122,131,138,142,143,150,149,149,149,111,113,115,113,107,98,91,87,95,99,107,119,130,139,143,144,153,155,157,159,110,112,111,106,96,88,84,82,88,93,101,114,126,135,141,142,150,153,158,160,116,114,107,98,91,84,81,81,83,88,96,106,114,121,127,130,134,139,146,150,117,110,98,89,84,80,76,74,83,87,93,98,102,107,112,116,116,123,133,139,104,101,90,78,71,73,74,74,78,85,92,97,97,96,97,99,107,109,115,124,96,96,90,81,76,77,76,73,76,82,88,92,92,92,95,97,103,104,111,119,88,91,89,85,81,81,77,73,74,78,83,85,86,87,92,96,99,99,104,113,86,89,89,86,82,82,78,73,73,76,80,81,81,84,91,96,96,96,101,108,0
122,107,83,65,62,77,102,120,111,135,170,198,216,221,212,201,193,175,161,161,117,100,90,95,101,103,115,132,151,171,195,209,216,217,213,209,210,196,184,183,113,91,88,109,127,134,148,170,182,196,208,208,205,204,207,208,214,205,198,196,103,94,99,123,147,161,178,195,188,198,204,201,197,198,201,202,206,204,200,195,114,127,146,160,173,182,186,183,189,196,201,203,204,206,204,200,202,207,205,197,165,180,187,182,181,187,185,176,189,196,203,205,209,210,206,199,203,212,211,198,196,195,190,182,181,184,185,184,187,196,204,205,204,206,205,203,199,211,210,193,182,174,174,185,192,187,182,181,187,199,206,204,200,203,210,212,196,210,209,189,173,177,181,183,184,186,189,193,194,185,194,207,200,194,203,211,196,226,201,158,173,178,184,187,187,187,188,190,193,190,193,193,187,195,208,209,197,218,190,148,170,175,182,187,188,188,187,187,185,189,192,183,178,192,202,192,193,200,167,128,173,176,180,184,186,187,187,187,177,181,188,185,179,186,186,170,180,172,137,105,187,186,184,184,185,186,186,186,179,173,179,186,182,180,177,167,173,154,122,102,198,194,189,186,185,185,184,183,185,173,174,183,181,181,181,174,170,145,121,113,191,187,184,183,185,185,184,182,183,178,179,179,177,184,181,163,142,113,98,101,174,174,174,180,184,186,185,182,176,183,187,178,175,186,174,140,101,71,61,69,170,165,163,163,160,159,166,178,188,183,180,175,175,176,149,105,74,61,56,61,161,157,155,155,152,150,156,165,175,175,181,179,167,156,132,99,94,75,62,63,138,136,135,134,131,128,131,138,134,138,152,155,137,125,119,109,116,89,66,61,119,120,120,118,114,110,112,115,108,107,117,120,104,99,114,126,126,94,65,57,0
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199,196,192,195,198,194,184,175,169,170,173,173,170,162,150,142,131,132,133,134,200,198,196,195,191,182,171,161,157,158,162,163,162,156,146,140,132,132,132,133,193,193,191,186,178,164,153,146,142,144,147,150,150,147,140,135,131,131,131,131,182,183,180,170,158,146,139,135,133,134,135,136,138,137,133,130,128,128,127,127,180,179,172,161,146,137,133,133,131,130,129,129,129,129,127,124,125,124,124,123,185,182,174,163,150,140,136,137,132,130,126,124,123,123,123,122,123,123,122,122,184,182,177,169,160,152,148,146,134,130,124,121,121,122,123,123,122,122,123,123,177,177,176,174,170,163,157,153,134,129,123,119,119,122,124,125,123,123,123,123,168,169,170,174,173,167,156,148,142,131,120,115,116,120,127,131,128,128,128,128,165,167,170,173,173,168,157,150,141,131,122,117,118,122,127,130,131,131,132,132,162,164,166,168,166,160,150,145,137,132,127,124,126,130,135,136,132,132,133,134,158,158,159,157,151,142,135,129,131,132,133,132,137,145,149,149,137,138,138,139,155,154,150,142,134,125,118,115,125,133,140,142,148,159,163,161,147,147,148,148,149,147,141,133,125,119,118,118,130,141,153,156,162,171,173,170,152,152,152,151,141,140,136,130,127,128,134,141,147,162,174,175,178,184,182,175,157,157,158,158,136,135,133,132,133,140,152,161,165,181,192,190,190,193,189,179,167,167,169,170,142,144,143,145,154,169,179,182,193,194,194,194,191,188,183,182,179,181,183,185,149,154,159,164,174,186,193,194,196,196,196,194,191,186,180,178,182,183,187,188,160,169,179,186,194,203,204,201,200,199,198,195,190,184,178,174,185,187,190,191,170,179,191,196,200,205,203,199,200,199,198,194,188,182,176,173,186,189,192,193,0
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104,102,106,105,90,71,74,90,94,95,111,130,133,125,132,148,129,95,57,49,119,111,110,111,105,91,86,92,92,92,105,120,122,118,129,149,152,132,93,64,108,97,93,99,102,95,85,81,78,76,83,94,97,101,124,151,177,176,141,97,101,95,92,100,109,108,101,92,79,76,76,77,76,83,108,137,169,181,160,124,94,94,93,96,102,105,102,95,97,95,95,91,81,75,86,102,120,133,131,119,85,90,88,80,76,80,82,79,90,94,100,101,92,79,76,80,72,83,89,95,98,104,97,80,70,75,79,75,73,76,81,86,84,81,81,84,72,80,82,86,104,108,96,75,65,72,76,71,77,72,68,68,70,75,85,92,100,107,101,95,88,100,88,77,82,75,73,91,108,112,108,94,85,88,97,102,108,107,106,105,87,102,97,87,88,83,79,91,102,105,103,96,92,96,99,98,105,104,103,102,84,104,107,99,99,94,88,91,90,92,92,92,97,100,97,91,96,95,94,93,85,103,113,109,106,102,95,90,84,87,91,96,99,102,98,95,99,98,97,97,90,97,108,113,109,105,100,91,91,94,99,103,105,106,108,111,114,114,114,113,99,90,98,111,109,103,101,93,94,95,99,104,106,107,112,120,122,123,124,124,110,82,86,108,108,101,102,98,93,90,92,100,108,110,115,121,123,124,125,127,119,78,79,106,107,100,102,102,96,89,89,101,115,119,121,122,125,127,129,131,120,80,74,107,120,107,98,96,94,95,91,97,114,116,118,128,124,122,119,118,126,83,75,105,118,106,99,99,102,102,98,103,117,117,115,123,133,129,124,121,134,88,76,102,114,105,101,103,111,111,107,111,122,116,111,116,130,124,117,112,142,93,76,100,111,103,102,107,115,116,113,116,125,116,107,109,121,115,105,98,0
137,133,94,118,149,159,188,169,128,147,162,151,149,139,128,156,191,169,156,133,140,136,106,130,143,134,162,159,108,112,101,84,115,158,170,193,180,164,157,138,151,142,113,124,108,78,97,108,74,76,62,48,105,175,190,198,186,179,183,170,159,144,105,91,67,39,52,58,56,60,55,56,119,182,182,182,200,193,201,193,167,142,92,59,46,46,58,54,63,50,45,71,150,203,195,198,203,186,182,166,180,146,88,44,39,57,66,58,66,43,45,98,191,233,215,216,195,170,155,132,190,144,87,42,35,47,53,55,64,53,67,115,188,214,188,191,164,149,144,128,187,136,85,46,32,37,42,57,72,75,88,103,138,149,135,152,122,122,139,138,189,157,99,52,36,32,40,59,76,82,82,104,143,149,132,130,140,149,151,141,176,167,110,48,29,30,37,54,49,56,64,88,131,156,154,144,149,144,135,127,158,177,132,60,39,38,36,48,38,44,55,67,99,141,155,136,129,137,152,167,163,189,145,73,46,37,30,46,34,37,44,43,56,107,141,126,121,143,176,199,186,197,156,91,58,38,27,38,36,40,48,43,52,108,162,169,187,190,196,197,191,199,181,142,110,84,52,30,41,43,49,49,59,102,156,187,224,216,203,194,188,194,192,170,152,153,123,69,54,49,45,49,58,66,98,139,189,198,199,193,195,188,176,149,148,195,197,136,96,85,72,78,85,67,75,117,174,203,217,204,178,169,150,140,157,202,207,150,109,96,94,95,88,89,103,108,162,184,193,180,171,159,145,139,152,189,192,144,94,106,119,112,96,105,130,141,162,169,167,157,165,147,142,141,149,176,177,143,158,178,193,176,155,166,188,190,178,167,153,147,167,141,144,146,150,171,170,154,218,221,223,211,198,204,208,196,195,174,157,154,1
97,85,114,136,107,97,123,135,153,151,145,134,122,115,115,118,138,117,134,163,112,100,114,120,102,110,129,121,129,127,123,119,116,118,124,130,126,113,116,131,122,117,120,111,101,122,134,112,106,100,93,89,92,100,107,112,120,124,119,121,121,121,122,113,106,119,121,97,80,71,60,56,60,68,74,76,93,119,120,111,130,120,117,120,121,114,92,66,52,44,35,33,41,50,54,54,74,116,129,117,149,132,124,133,135,108,66,38,43,38,32,32,37,42,42,40,64,108,136,133,139,146,146,142,122,81,44,30,41,40,38,39,40,37,34,29,38,73,112,123,109,147,164,140,91,43,23,33,30,33,37,40,41,39,32,27,30,53,95,114,79,144,189,149,72,40,42,39,31,31,35,42,44,38,35,36,38,55,94,119,57,114,164,145,62,33,40,48,35,33,36,42,43,38,33,32,37,58,109,153,58,99,151,163,75,41,39,49,41,36,36,41,45,40,33,28,25,43,96,147,52,72,122,162,87,50,31,32,45,38,34,40,45,41,33,28,34,42,85,133,51,53,93,143,106,73,50,43,46,37,32,36,41,39,33,29,37,45,84,129,65,65,94,124,123,91,72,65,51,41,34,35,37,35,32,31,35,51,95,132,65,82,113,112,130,86,72,67,65,54,45,41,39,36,37,40,52,76,119,146,63,103,145,127,155,99,86,84,78,68,58,51,45,41,42,48,58,85,125,143,78,117,174,170,141,139,117,88,93,76,65,56,46,48,53,48,73,96,138,132,97,140,176,155,143,159,134,99,100,85,76,66,53,54,60,58,85,104,139,126,117,144,155,135,146,159,129,112,111,101,95,82,64,63,74,76,104,119,145,122,127,131,126,127,155,143,105,123,146,140,136,121,98,97,111,117,121,134,154,125,1
108,102,127,97,94,97,67,111,164,161,116,86,123,158,137,104,125,123,130,146,104,102,104,89,82,82,85,113,151,147,106,79,110,143,131,105,121,150,166,159,94,94,82,84,74,76,111,120,131,127,104,92,110,122,107,92,132,167,190,181,80,76,78,90,83,95,129,129,135,121,112,117,116,102,94,101,106,119,144,164,63,57,87,99,101,123,131,130,137,115,118,132,117,92,104,137,94,110,137,163,56,59,95,108,119,136,125,122,92,92,119,139,116,92,112,144,93,126,149,145,63,87,95,115,135,131,126,112,57,86,127,129,95,92,120,136,144,161,165,147,76,116,92,121,142,121,131,106,70,109,136,104,62,88,137,148,166,147,132,130,116,96,106,134,130,107,99,104,89,133,101,94,104,104,145,158,129,96,93,111,108,103,116,128,119,107,99,90,98,112,108,132,133,133,161,134,115,97,94,101,99,111,123,117,102,100,91,70,90,111,145,173,148,153,179,119,115,117,107,96,101,113,121,107,86,84,78,59,78,115,152,165,145,162,170,97,115,129,115,95,115,113,113,99,73,64,63,57,85,105,115,136,166,172,142,91,99,113,101,84,123,110,102,87,61,48,52,54,36,45,46,82,129,108,70,75,91,95,86,76,115,101,90,70,44,35,38,37,24,36,44,66,96,80,64,95,94,87,88,85,102,93,79,54,29,27,29,20,17,24,24,21,47,69,65,69,92,82,93,101,114,100,72,45,32,30,28,26,24,28,27,34,47,52,57,71,59,82,112,133,117,99,68,44,36,36,31,25,25,30,30,35,45,48,55,71,73,96,125,145,118,97,66,44,40,42,35,26,28,36,37,39,46,48,56,75,85,106,133,149,115,96,68,46,41,43,38,31,31,41,44,45,50,51,62,84,115,135,158,168,1
184,174,176,180,182,192,183,153,120,98,87,67,41,26,58,137,189,151,156,145,179,187,186,186,185,161,129,119,97,68,55,41,32,32,68,144,195,169,169,156,182,203,194,179,172,130,97,112,87,51,29,20,24,35,64,127,188,192,186,163,188,201,190,161,140,126,128,140,79,42,21,17,30,40,51,93,169,215,209,170,173,173,177,149,118,146,171,149,52,27,17,21,39,44,39,66,140,219,213,161,150,144,159,144,121,163,177,113,31,19,21,26,37,37,25,46,101,185,175,124,152,139,139,132,135,167,149,73,28,24,32,29,32,28,22,47,84,140,121,89,172,150,125,117,144,164,123,59,25,27,37,29,29,31,34,67,99,126,98,85,175,140,119,133,162,166,119,54,30,22,24,33,30,29,58,96,119,84,75,82,159,148,142,147,165,176,135,69,25,27,31,33,26,31,65,106,83,55,50,57,138,152,162,161,167,176,139,77,39,31,26,31,42,55,70,82,67,50,50,58,138,156,177,181,171,155,113,59,42,37,33,36,51,61,57,47,59,56,60,67,136,145,177,201,179,127,69,27,29,42,49,42,34,34,36,38,38,48,55,57,111,108,146,188,166,98,43,19,33,40,39,31,23,24,32,39,48,67,72,67,113,96,116,149,125,67,36,36,48,39,31,29,33,36,39,43,76,101,102,91,152,120,116,121,86,40,33,49,43,46,51,50,41,34,42,59,83,112,111,94,130,127,136,106,67,57,50,54,51,72,55,67,65,75,77,79,97,103,112,117,117,108,110,80,49,50,54,62,83,89,67,100,129,152,134,115,109,123,143,161,115,99,95,73,62,85,105,121,135,132,105,147,185,201,167,130,101,113,133,150,129,106,100,84,88,128,160,181,165,168,145,178,197,195,155,122,111,116,122,126,1
124,104,115,121,104,111,120,99,97,99,116,106,78,90,104,80,126,114,110,118,124,110,122,130,113,113,115,94,89,84,102,107,89,99,116,102,113,106,102,104,120,112,126,136,126,128,130,113,124,106,110,113,100,106,120,115,121,118,110,101,116,113,127,140,138,147,154,146,166,146,133,120,109,119,130,123,127,130,122,107,118,121,134,145,147,150,152,147,148,148,136,116,114,136,141,122,112,120,120,112,122,130,140,145,143,134,124,119,106,125,125,110,119,141,135,108,112,116,121,122,119,128,130,129,128,119,108,109,98,118,122,115,126,136,122,102,120,119,120,128,114,119,115,109,112,112,113,123,113,126,125,124,135,136,125,117,118,109,111,123,119,113,109,103,102,120,132,125,125,131,130,125,127,134,128,115,111,109,106,118,109,104,102,97,100,123,144,143,139,146,146,142,142,144,134,120,104,102,107,124,113,107,103,97,100,126,149,150,145,152,153,150,147,144,134,122,97,93,109,129,120,110,103,99,106,132,152,149,148,152,152,146,141,142,139,133,93,79,102,118,113,101,96,100,116,146,161,152,157,157,152,144,140,142,148,152,96,66,90,100,109,99,96,103,122,151,165,154,169,167,160,148,140,140,149,157,110,66,91,98,108,102,104,111,126,158,177,171,183,181,175,161,145,137,140,146,121,68,98,108,97,98,108,118,134,170,197,199,198,197,191,176,155,139,135,138,121,63,99,113,107,105,109,117,134,175,213,225,209,206,186,178,163,149,135,96,86,90,114,88,106,100,106,118,135,171,208,224,202,198,177,171,161,150,136,94,85,89,111,83,109,99,105,122,136,161,195,217,197,191,169,166,161,156,140,94,81,85,106,79,117,101,106,126,135,149,180,206,199,191,167,164,165,163,146,95,78,81,102,78,0
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82,85,86,82,80,79,74,66,67,70,70,71,82,93,93,84,85,100,107,100,96,102,102,94,83,77,73,71,69,73,77,79,88,100,101,95,95,106,109,100,109,108,103,94,88,84,76,68,67,76,83,88,93,99,101,100,101,108,108,97,108,97,84,82,89,92,81,65,67,77,91,99,97,93,91,94,85,87,83,74,98,91,82,78,84,90,86,74,76,85,101,110,103,88,83,87,69,66,59,51,91,97,97,88,80,81,87,94,88,90,98,107,96,80,77,89,83,75,62,54,94,98,98,87,80,82,90,97,87,77,74,75,67,56,66,86,94,82,66,58,101,93,82,77,83,92,93,88,76,58,45,43,37,33,53,81,83,68,52,44,89,86,82,83,90,94,84,72,58,44,33,29,28,30,36,46,53,60,61,51,84,92,96,94,88,79,65,54,40,33,27,27,26,24,30,38,55,65,71,69,91,105,115,107,85,63,47,39,23,23,23,23,20,19,23,30,55,60,64,63,94,104,108,90,62,40,26,22,22,24,26,24,20,22,30,38,63,57,49,43,103,101,89,66,43,31,26,26,25,28,27,23,22,30,43,52,70,59,47,41,96,85,64,40,28,27,31,32,22,25,24,20,23,33,45,52,57,50,46,47,77,67,46,28,22,28,34,36,37,42,43,40,41,47,50,47,48,46,49,57,91,84,71,57,54,61,66,67,67,72,74,71,70,69,62,51,60,58,62,71,122,133,123,97,83,78,85,100,102,109,93,88,76,67,75,69,64,66,84,101,134,143,132,109,97,91,94,106,140,138,110,95,80,73,88,88,79,80,98,114,131,136,125,109,104,100,98,105,132,126,98,84,74,74,97,104,88,87,102,116,119,120,110,102,105,102,97,101,99,96,76,73,71,72,98,109,91,88,100,111,1
98,99,100,101,101,103,106,109,113,112,110,109,111,113,118,122,125,128,131,135,98,99,100,102,102,105,108,112,117,115,116,116,119,125,132,138,141,142,145,146,97,99,101,104,105,108,112,116,120,123,125,128,133,143,153,160,162,162,161,161,97,101,104,107,109,112,116,119,125,129,133,138,145,156,168,177,178,176,172,170,100,103,107,110,113,116,120,123,129,134,140,147,153,162,174,183,187,184,179,174,103,107,112,115,118,120,124,127,132,139,147,151,154,161,170,178,187,183,178,173,107,111,116,120,121,124,127,129,137,145,152,154,154,156,163,169,172,169,164,159,109,113,118,122,123,126,129,130,140,148,155,158,154,152,156,161,155,153,148,143,108,115,120,121,124,130,133,132,146,149,153,156,155,153,151,152,148,141,132,126,113,120,124,125,127,133,136,135,143,145,150,152,152,152,153,153,149,142,133,125,116,122,126,126,127,132,135,133,134,137,141,142,143,144,147,149,148,141,130,122,113,120,123,122,123,127,129,128,125,127,130,130,130,131,133,135,141,133,123,114,110,116,119,118,118,121,122,121,122,122,123,122,120,118,119,120,127,120,111,104,110,115,117,115,115,117,118,116,118,119,120,118,114,111,110,111,112,107,101,96,109,114,115,112,111,113,113,111,112,114,115,114,110,105,102,101,98,95,92,91,106,111,113,109,108,108,109,107,106,108,110,109,105,100,97,95,90,89,87,88,107,111,110,103,98,98,100,100,99,104,107,105,103,101,95,89,92,91,90,90,104,108,107,100,95,95,97,97,98,103,106,104,101,100,94,88,90,89,89,89,99,104,103,96,91,92,94,94,96,101,104,102,100,98,92,86,86,86,87,87,97,101,101,94,89,90,92,93,94,99,102,100,98,96,91,84,82,83,85,86,0
156,167,164,164,180,186,175,163,162,147,137,161,137,82,75,63,84,91,80,119,159,176,184,186,185,174,157,148,170,148,141,135,109,64,70,72,105,114,97,122,159,174,192,198,188,170,163,164,175,148,150,112,82,51,66,82,129,131,107,121,162,165,178,185,174,167,179,193,179,149,160,102,74,54,66,87,161,144,116,140,172,160,164,170,159,163,186,198,188,157,156,100,66,54,62,83,160,125,103,151,174,159,168,175,167,178,198,195,188,162,141,102,55,46,53,73,137,99,92,162,172,163,179,188,179,193,207,189,167,159,125,117,54,40,44,62,122,101,116,191,175,169,187,192,176,188,198,173,139,150,116,134,62,41,40,55,96,94,124,195,187,164,172,179,162,166,174,154,130,131,149,163,52,36,41,48,67,96,143,176,194,163,163,169,152,153,168,162,158,145,147,154,54,41,38,36,54,78,127,166,197,169,167,172,156,154,166,168,166,154,152,151,58,42,36,29,53,68,113,158,178,169,176,179,167,164,165,157,145,148,157,149,64,43,40,37,60,65,105,148,155,165,173,170,165,167,158,139,134,135,140,128,65,53,51,45,60,61,95,133,156,164,165,158,159,164,154,139,146,127,111,93,64,64,63,45,57,64,97,129,176,168,158,159,166,160,149,149,146,122,99,73,62,68,67,46,61,77,112,140,187,166,151,165,175,154,140,153,133,119,102,74,60,64,67,50,65,87,125,149,168,163,162,166,161,149,145,149,133,118,103,75,65,61,53,74,58,100,124,153,160,166,167,160,151,147,147,147,121,108,97,77,74,73,63,80,81,117,133,151,154,168,169,154,143,145,148,145,97,86,82,72,79,81,66,78,111,140,142,148,160,164,162,153,144,143,145,146,125,115,117,115,129,132,111,117,130,154,149,145,1
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133,156,132,146,158,146,165,141,149,131,129,148,187,167,176,177,175,195,174,140,129,156,163,167,154,156,157,148,145,135,140,146,164,154,141,135,168,185,179,154,104,133,161,169,141,167,149,145,145,143,157,150,154,176,147,143,124,133,158,173,104,137,152,179,155,195,178,163,153,152,170,160,161,226,202,201,180,139,128,141,112,162,150,185,160,180,186,169,160,155,173,159,162,237,223,217,211,155,125,129,115,178,158,178,146,132,150,152,161,154,169,155,149,199,194,176,174,150,139,145,129,186,179,177,161,130,129,155,163,154,171,157,145,162,181,160,182,174,154,136,132,171,180,167,178,147,118,159,164,157,176,165,154,154,199,185,167,179,161,144,153,140,167,187,179,161,142,148,154,169,181,170,153,157,165,159,150,172,165,147,155,144,161,167,171,178,161,149,162,182,190,176,160,151,144,138,152,171,162,144,156,148,155,148,163,195,182,155,168,190,185,166,163,157,152,163,147,162,162,156,161,158,164,147,155,187,174,146,160,185,175,160,168,162,157,180,155,164,169,170,169,169,183,167,157,168,155,139,149,179,178,169,170,147,129,147,155,160,176,191,163,170,193,185,172,176,165,159,158,179,181,170,158,132,119,137,151,153,179,208,152,161,186,177,171,185,175,165,164,174,180,174,151,133,140,162,164,156,178,206,147,156,172,155,152,174,160,137,151,162,183,188,161,142,151,169,168,157,179,207,161,163,148,133,138,141,134,129,155,134,149,175,180,150,164,153,168,144,179,189,143,143,131,121,129,132,132,136,137,120,127,151,171,144,154,149,170,140,166,166,138,141,141,148,156,151,151,163,148,137,130,149,185,158,164,170,176,139,154,146,138,148,166,190,199,180,169,181,169,169,152,163,206,174,176,198,183,143,155,145,0
136,141,187,150,167,150,163,187,163,127,179,160,141,158,134,163,187,167,154,145,154,164,177,174,158,145,144,179,176,151,166,145,137,168,137,142,171,150,140,140,146,157,157,171,160,137,148,179,174,176,158,146,128,157,141,160,187,156,134,128,150,154,156,149,174,129,163,165,149,173,145,160,144,159,144,167,192,165,147,142,175,178,167,145,172,137,160,138,136,169,135,157,160,186,154,135,158,153,164,178,169,177,154,148,157,163,158,145,155,190,158,141,140,191,179,144,137,141,162,181,154,152,146,143,155,171,160,166,176,184,172,144,137,180,187,169,144,144,159,172,171,146,168,137,170,153,154,167,177,141,153,165,175,186,171,154,147,150,171,188,192,180,169,140,133,158,160,149,156,170,199,190,188,175,172,145,157,162,189,160,194,182,162,154,148,144,154,165,154,151,163,154,164,162,162,135,159,168,188,153,179,184,151,160,173,158,167,172,156,150,161,150,156,152,160,142,157,177,191,154,161,191,149,160,196,192,196,174,137,149,178,165,151,132,148,147,154,185,196,167,156,190,151,162,193,186,196,182,139,156,193,183,163,137,158,168,160,191,187,167,157,170,150,163,169,146,164,184,160,162,187,183,175,159,182,192,181,197,167,151,148,146,150,164,159,142,148,165,154,143,160,157,157,147,175,187,186,192,148,145,138,137,158,167,172,180,163,145,148,139,157,153,149,136,168,187,175,180,140,157,156,173,150,176,174,172,166,139,158,156,158,156,152,152,157,165,174,171,167,162,147,164,145,174,169,167,165,140,161,163,169,171,167,163,164,168,184,179,170,157,134,151,139,171,162,162,166,143,155,161,171,177,173,165,162,162,177,181,180,172,125,139,134,171,158,158,168,146,148,156,169,176,172,163,157,155,160,177,193,198,0
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80,54,76,96,103,114,103,91,64,95,86,104,125,107,93,76,68,71,78,83,74,57,86,113,123,127,101,80,75,102,95,107,117,97,85,74,58,60,68,76,62,64,102,120,117,112,90,77,92,109,103,107,106,85,76,70,63,61,65,73,55,76,114,109,87,82,82,99,120,116,106,103,95,77,68,66,75,69,66,70,60,86,112,94,76,82,98,130,156,125,106,96,86,74,63,60,76,68,62,64,67,86,98,83,90,112,123,148,181,127,100,86,76,72,60,60,74,70,70,75,78,97,103,89,111,142,149,171,180,112,84,70,61,66,60,66,76,80,90,101,93,118,125,106,124,156,169,198,164,91,69,55,47,60,61,74,75,85,103,119,99,123,139,132,122,131,160,182,120,79,63,65,58,60,71,70,73,107,119,118,83,115,148,155,145,139,142,147,112,76,57,63,64,65,74,85,83,130,141,123,88,110,133,140,137,136,140,145,107,77,55,63,75,68,73,96,98,154,163,130,87,92,97,100,107,121,139,151,105,82,60,70,87,71,68,97,121,172,178,146,70,71,76,87,98,108,115,119,100,84,67,77,94,77,71,97,140,180,186,164,77,74,79,89,97,97,93,90,91,78,69,82,95,88,87,104,137,177,185,170,93,84,78,82,86,85,81,81,83,69,70,83,90,98,108,112,125,178,191,168,86,75,68,71,76,73,70,70,81,66,71,82,84,102,121,116,119,189,207,172,74,68,71,83,87,75,64,63,66,65,68,58,74,100,107,130,113,174,209,191,65,57,56,65,71,65,62,65,51,54,66,64,77,98,112,146,99,156,210,217,85,72,63,63,65,63,65,71,61,62,77,77,77,82,94,139,96,130,195,223,107,93,79,73,72,72,77,85,83,76,88,88,79,66,72,120,106,112,175,212,0
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145,155,156,147,145,146,133,113,96,104,91,77,85,102,117,129,128,121,122,135,164,173,174,159,137,117,94,76,69,75,67,59,69,85,108,134,127,121,125,138,169,177,178,159,124,87,60,47,57,58,52,50,55,62,88,125,124,120,125,136,160,161,159,142,109,74,53,49,60,54,50,58,63,58,77,114,131,128,131,138,165,155,141,120,94,71,60,60,58,51,52,71,80,70,78,110,145,143,144,146,174,159,132,103,81,70,67,67,63,56,60,80,92,79,82,109,151,154,158,160,157,147,119,88,72,75,82,83,68,67,71,86,96,89,98,128,155,164,175,182,125,123,105,77,67,82,99,104,62,67,74,88,101,103,123,160,161,175,193,205,137,132,90,77,81,90,106,87,71,82,84,90,118,150,173,190,213,213,213,213,124,112,78,78,87,84,85,61,77,99,102,100,125,167,204,227,210,210,210,210,96,85,66,79,95,90,75,47,71,94,103,109,144,190,220,235,208,207,207,205,78,76,70,80,94,96,76,47,61,78,95,129,178,211,213,210,206,206,205,204,76,83,84,74,79,90,72,47,66,85,118,168,210,217,205,202,208,207,206,206,71,77,84,68,68,85,73,64,82,118,161,198,214,206,201,215,208,208,207,206,74,64,77,73,76,86,77,90,102,153,194,206,205,202,203,213,208,208,208,208,92,65,79,86,90,87,74,100,116,174,208,203,202,211,207,200,207,207,207,207,124,77,84,70,82,82,83,92,155,187,205,203,206,208,205,206,204,203,202,201,126,85,91,76,83,79,85,100,154,187,205,203,206,208,205,206,204,203,202,201,137,107,110,93,95,83,97,122,154,187,204,203,206,208,205,206,204,203,202,201,145,127,126,108,106,85,107,142,154,187,204,202,206,208,205,205,204,203,202,201,1
114,106,121,131,114,112,130,134,131,133,106,106,124,128,123,104,95,95,93,90,144,107,96,121,139,138,131,126,157,146,112,117,140,136,116,87,89,88,87,86,205,147,105,129,173,179,167,171,199,175,134,144,172,164,136,103,91,88,85,84,231,182,124,123,161,172,173,195,197,172,134,147,169,155,131,107,102,97,91,87,228,202,153,129,142,144,138,149,148,142,122,134,147,126,109,96,109,105,100,96,210,200,174,155,148,134,108,92,91,107,105,119,125,107,99,92,105,107,110,112,171,165,168,169,152,131,113,98,89,106,98,101,103,92,92,87,95,107,122,130,153,144,166,182,160,144,156,164,152,159,129,111,106,97,100,91,88,107,130,143,145,163,183,207,190,156,177,205,188,184,164,136,117,111,105,95,93,104,119,131,178,196,212,231,215,177,181,191,189,199,188,148,115,105,104,102,93,101,112,120,209,222,226,233,215,180,172,166,170,188,182,139,101,94,99,98,87,91,95,98,217,225,213,205,183,157,156,149,134,155,151,114,86,88,95,92,91,90,89,87,192,199,182,167,144,126,135,134,109,136,140,106,77,78,91,96,104,101,96,93,141,152,144,138,118,101,114,116,106,135,144,112,73,64,81,97,107,103,99,96,120,130,126,134,122,106,115,120,121,134,135,112,82,69,77,90,94,92,89,90,136,140,138,152,147,131,142,148,141,131,119,109,99,90,84,84,83,81,81,83,193,188,192,194,183,175,162,144,136,137,125,113,112,103,94,93,88,78,76,104,225,221,220,211,196,184,163,135,120,123,114,104,106,102,94,94,88,78,78,107,211,212,212,202,193,191,169,130,108,114,105,97,100,100,92,93,95,88,91,122,172,181,186,183,185,196,176,132,109,117,107,96,100,99,92,90,101,96,103,139,0
151,144,142,149,157,161,163,164,191,200,201,192,188,178,145,108,109,123,138,142,161,158,155,157,159,159,151,144,165,166,163,162,167,167,148,124,137,143,151,157,139,146,149,149,150,151,143,130,132,122,115,121,134,145,145,141,141,136,137,145,105,121,130,124,123,128,124,113,103,90,81,87,97,109,126,141,141,132,130,139,105,120,123,107,93,92,91,84,81,72,66,68,68,73,94,118,128,126,127,134,124,128,119,97,78,72,69,64,59,58,61,62,56,53,66,84,99,114,126,128,136,124,104,85,72,63,55,50,39,47,60,65,63,60,59,61,84,119,142,135,143,117,89,75,67,55,40,30,28,42,59,72,77,73,63,53,66,114,145,134,122,102,71,58,58,43,27,27,27,40,58,69,71,66,58,55,51,93,128,130,117,93,58,42,44,37,30,35,29,40,55,63,62,57,53,51,53,91,121,122,109,87,49,30,33,31,26,30,32,42,52,55,51,47,46,49,49,81,107,108,98,82,50,30,34,35,29,29,35,43,48,46,40,38,42,49,45,72,94,96,101,91,60,34,35,39,37,39,34,37,39,37,32,34,41,49,55,76,94,97,131,122,83,41,30,34,36,40,37,39,38,37,38,43,51,58,76,90,101,103,143,139,102,53,32,34,37,42,54,53,53,55,62,70,78,83,95,101,104,101,123,131,105,61,45,48,52,55,74,71,71,77,86,96,104,107,104,104,100,94,100,114,99,64,50,53,58,62,78,82,90,93,96,112,119,105,108,94,91,93,109,127,114,80,62,60,61,64,82,86,93,92,91,108,121,115,105,94,96,101,120,142,133,98,76,69,66,69,79,80,84,80,77,94,115,115,91,84,92,102,126,151,145,108,82,73,71,74,76,71,71,68,68,86,106,107,77,74,87,101,1
166,164,154,141,138,145,148,147,149,146,132,111,99,105,114,118,133,149,161,159,160,156,149,145,151,160,161,153,152,147,135,119,114,118,121,120,115,126,137,140,149,143,139,144,157,165,159,148,145,142,137,136,143,152,154,151,134,133,129,123,142,139,138,144,152,154,144,133,139,140,141,147,158,168,175,176,150,146,139,133,148,149,151,154,153,148,142,138,147,148,151,153,154,157,164,170,173,175,179,180,161,162,167,168,164,159,160,166,166,166,166,166,162,160,163,171,182,191,205,216,168,168,169,172,170,169,178,192,189,185,186,189,187,181,181,185,166,172,187,205,169,164,163,166,167,171,185,199,210,204,201,205,204,196,189,187,188,180,178,186,147,141,143,156,171,183,194,203,204,207,211,209,200,192,193,201,208,215,209,189,156,157,158,158,164,176,189,194,203,204,207,207,198,188,186,190,207,201,192,184,174,180,180,172,166,167,171,173,181,184,189,196,196,192,192,196,181,168,166,179,183,180,179,178,167,151,143,143,144,145,151,161,168,170,174,179,173,167,172,189,189,171,166,177,172,151,143,152,149,146,145,149,149,148,150,154,162,167,172,176,169,146,136,148,151,141,144,158,156,153,151,150,145,138,138,143,137,145,152,155,138,130,122,120,120,122,128,134,132,133,137,139,133,127,128,134,143,140,145,160,152,163,162,144,136,143,143,134,129,134,143,148,142,133,134,140,161,140,137,157,179,204,197,161,144,149,155,158,156,166,157,155,137,152,155,165,154,126,113,115,157,175,169,145,137,138,136,136,170,177,161,150,126,139,142,153,131,111,111,126,139,146,141,134,136,130,119,118,155,165,153,147,127,143,145,152,140,122,126,144,137,138,134,137,142,129,116,118,132,145,141,147,140,161,154,151,141,119,117,130,0
164,159,169,199,224,226,212,199,191,189,183,171,189,159,157,180,193,208,172,135,181,185,185,184,194,207,206,196,174,153,165,155,173,155,175,173,184,185,159,144,175,184,168,128,109,116,119,107,113,87,120,126,149,149,174,141,149,136,127,134,145,152,136,95,72,74,78,72,93,71,77,92,130,166,186,164,157,131,131,145,139,128,109,89,76,73,78,84,92,104,95,128,176,219,202,192,184,141,133,146,125,94,67,62,62,58,65,79,89,120,121,156,204,230,202,203,171,122,103,116,96,62,37,42,54,59,68,81,95,103,125,130,169,182,210,220,148,121,110,118,101,69,44,43,49,48,46,49,61,66,149,153,184,162,211,198,129,130,137,140,98,50,40,49,42,49,59,43,40,79,165,154,187,159,189,166,131,142,152,153,106,54,40,49,41,40,47,34,40,123,196,155,175,165,184,157,158,160,155,143,122,64,40,47,38,30,34,31,56,171,224,169,168,156,150,139,157,171,174,158,142,79,42,45,36,27,34,46,79,193,226,184,173,152,127,139,134,172,198,191,147,86,44,40,35,30,47,72,103,194,208,175,166,161,141,155,138,168,191,189,132,86,47,40,42,44,68,100,135,191,194,152,140,163,163,150,163,160,154,150,124,98,71,67,76,84,108,143,165,171,182,158,142,161,179,151,166,151,140,143,133,122,106,106,120,130,153,185,178,143,173,185,171,169,196,173,152,151,160,175,163,124,117,112,134,157,187,175,144,168,178,200,181,197,204,180,169,172,172,172,172,123,112,121,162,188,200,168,145,162,174,205,188,197,200,178,180,182,182,180,174,127,121,137,184,204,204,159,147,155,169,213,199,197,194,174,165,165,164,164,166,134,139,153,186,195,194,153,148,147,164,221,209,197,186,172,160,157,157,161,1
125,137,142,134,134,140,134,118,166,178,163,152,168,174,165,163,131,119,115,111,117,128,134,133,141,152,148,133,169,192,174,142,157,183,179,164,126,111,109,114,114,126,136,141,152,165,159,144,164,185,169,140,150,176,174,158,127,109,109,125,118,135,151,157,162,163,152,137,148,151,145,142,149,154,151,147,119,97,101,124,121,142,163,168,162,153,136,121,124,124,126,130,136,146,151,145,128,109,116,139,126,143,160,164,156,144,130,117,111,121,125,116,119,153,168,150,135,124,134,154,141,145,150,151,150,146,136,127,116,123,131,122,120,152,169,149,117,112,124,136,158,150,142,141,147,152,147,138,129,119,131,140,132,140,151,141,115,116,126,132,173,174,150,126,138,156,151,139,133,124,136,148,146,154,155,134,115,109,114,131,178,185,168,145,149,159,155,148,138,126,136,149,149,154,155,139,111,106,112,126,176,189,180,158,151,149,147,148,134,121,125,140,142,141,140,133,118,114,117,127,171,185,183,161,144,132,131,142,134,122,123,134,134,127,124,125,127,125,128,135,170,182,179,163,142,122,121,139,146,142,140,141,139,129,124,129,125,126,131,138,165,170,167,159,144,119,115,135,154,164,160,151,145,133,127,136,125,127,129,130,155,154,152,156,149,125,115,132,150,175,173,153,144,134,128,137,135,137,137,133,151,146,146,158,159,134,121,134,145,180,180,153,142,134,129,138,142,147,149,147,185,171,159,158,161,157,145,135,142,158,168,160,142,133,137,145,168,161,155,155,178,171,166,165,166,165,161,159,155,164,168,159,144,139,146,155,159,153,148,149,174,174,173,170,167,169,172,176,155,156,154,147,139,141,151,161,162,156,153,154,178,178,175,168,164,167,171,174,146,141,136,134,135,143,155,166,168,163,162,164,0
110,98,87,89,97,102,107,110,100,80,116,124,103,96,90,102,106,119,137,148,121,115,108,98,86,84,100,122,103,66,85,105,110,115,107,112,129,130,134,139,127,120,111,99,79,72,93,124,115,69,69,89,102,106,99,106,124,116,110,112,131,118,106,98,86,80,95,117,120,87,78,89,90,83,86,103,122,117,118,126,140,132,124,112,97,88,95,109,114,96,80,88,92,81,89,108,110,117,132,148,150,156,149,124,95,83,89,101,109,98,70,76,92,87,89,92,84,96,117,134,167,172,157,121,95,93,98,97,110,110,72,69,87,83,85,77,79,86,100,111,185,181,152,115,105,119,119,103,108,123,86,76,87,83,91,87,80,80,83,89,173,151,130,127,134,133,124,117,128,131,108,78,101,112,84,87,90,77,77,91,138,131,129,140,149,147,135,126,135,137,116,84,99,107,82,86,82,79,85,97,120,122,132,145,148,138,122,113,121,122,105,74,83,92,71,77,78,87,99,106,127,129,133,136,128,112,98,92,103,98,85,64,76,89,71,74,74,90,103,103,140,139,137,133,120,103,92,89,100,87,79,69,85,103,84,79,68,85,94,88,160,153,145,137,123,107,93,89,98,79,76,74,90,105,86,71,73,85,91,85,169,153,136,125,116,106,97,95,94,76,82,84,93,104,84,66,80,87,94,94,160,138,112,101,102,103,105,108,100,86,98,102,105,113,94,77,81,86,93,99,127,97,100,118,115,109,108,97,100,114,116,117,109,116,79,77,80,77,81,90,110,94,114,142,140,128,118,102,121,130,117,100,88,105,76,75,81,78,80,86,99,96,128,161,155,139,127,109,121,133,114,88,79,110,90,86,83,80,80,82,101,101,134,160,149,134,127,114,108,131,118,91,87,127,105,92,87,84,81,79,0
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110,115,108,91,86,101,115,120,124,146,161,157,155,160,155,143,142,144,145,143,112,115,118,112,101,94,97,106,113,148,175,172,155,142,137,134,138,144,151,156,84,89,105,126,127,118,120,133,157,163,162,143,118,109,121,138,122,131,143,149,89,93,111,136,150,148,141,137,146,131,117,109,101,93,94,102,115,126,140,148,95,103,119,139,161,165,140,112,90,71,59,64,72,72,74,79,94,107,122,132,85,99,114,128,141,137,102,63,51,44,40,43,45,47,58,71,74,87,103,112,96,107,116,115,101,77,48,26,29,41,56,63,59,49,43,42,73,90,112,124,88,97,108,108,84,56,49,59,47,49,48,45,47,51,53,54,59,82,113,134,86,102,132,117,67,59,70,53,55,49,49,48,42,46,50,43,41,86,122,139,108,115,129,101,50,43,58,47,59,54,59,60,50,47,43,32,51,94,125,133,111,120,130,105,58,53,69,64,62,59,65,67,55,48,43,32,61,103,129,128,147,152,150,113,60,46,58,60,63,59,66,71,62,56,56,50,63,107,131,124,157,159,145,103,55,40,51,60,56,53,66,76,68,62,62,58,66,110,131,121,127,135,133,112,87,69,60,58,47,46,63,77,68,58,54,51,78,117,132,115,130,136,135,131,128,108,76,56,61,56,68,79,68,59,61,63,98,130,133,107,136,129,116,121,142,144,120,103,91,79,81,86,75,72,84,94,113,140,135,103,158,140,107,110,127,137,143,126,127,108,104,122,104,87,110,113,139,140,127,106,157,149,124,124,128,125,128,114,140,131,132,150,136,122,141,138,135,135,124,103,131,137,129,136,134,125,132,125,117,120,124,138,128,117,128,118,129,133,129,117,105,119,123,139,141,134,144,143,135,148,148,155,148,138,141,126,124,131,134,131,1
148,156,137,119,125,147,156,134,141,140,169,148,111,148,182,159,148,187,160,159,137,160,157,136,133,150,151,127,130,158,171,141,122,146,171,179,170,187,156,162,147,166,164,145,146,164,156,130,131,170,162,133,139,145,151,171,156,158,138,157,177,163,152,140,155,177,162,146,156,175,154,143,156,153,148,146,140,145,142,158,189,155,145,140,153,167,152,159,185,174,161,168,156,156,179,158,145,156,156,139,166,144,156,146,141,146,135,160,190,164,163,179,138,140,202,191,163,177,179,132,139,135,161,141,131,146,136,157,183,157,152,172,128,121,193,192,168,184,204,160,127,129,156,127,128,163,148,155,182,160,142,165,136,117,172,171,138,156,196,169,114,123,145,160,163,169,165,147,171,159,170,166,146,156,166,142,153,154,155,157,148,139,146,161,168,174,169,153,157,152,182,212,203,185,180,173,155,151,148,147,174,150,147,165,175,173,160,142,146,153,181,211,212,193,184,190,174,167,160,160,162,139,142,168,179,169,150,132,149,166,167,159,161,166,170,177,177,173,170,170,145,129,140,167,174,163,150,139,153,169,159,137,135,143,147,148,156,157,158,155,163,152,158,168,161,152,148,142,142,148,157,158,156,150,138,126,146,151,153,148,181,175,175,170,154,149,149,143,128,137,158,169,169,179,168,131,145,149,153,154,171,171,176,171,157,158,160,150,129,146,164,155,159,208,213,152,131,134,141,148,170,152,164,186,178,168,172,145,139,145,162,146,178,212,213,173,142,135,138,155,159,149,153,167,168,166,162,139,136,155,178,164,180,178,177,166,171,162,156,154,159,163,156,160,175,186,166,148,146,168,177,166,182,150,144,160,168,171,168,160,166,184,171,167,193,216,176,163,160,178,158,145,180,147,138,159,139,162,177,176,0
188,180,182,191,190,185,189,200,207,203,203,209,215,212,203,196,194,197,197,192,186,184,184,188,189,188,194,200,212,210,210,211,211,210,210,210,191,194,192,187,185,188,188,185,186,192,199,199,213,211,208,206,206,207,205,203,192,198,201,199,184,193,193,182,183,194,199,195,202,203,206,211,217,219,211,201,214,207,194,181,186,196,195,183,182,194,197,190,196,209,222,221,215,206,196,187,211,190,156,126,188,197,197,187,186,194,198,192,209,223,221,192,153,127,115,110,133,133,127,119,188,194,197,193,193,199,200,198,205,193,159,111,74,57,48,40,53,86,125,148,187,192,196,198,200,202,203,204,175,136,78,39,39,55,54,39,37,81,131,155,199,199,200,195,191,201,198,177,123,71,36,16,28,60,58,47,48,67,139,164,198,198,203,200,197,203,194,168,100,62,43,26,29,50,44,36,47,66,134,167,196,199,205,207,206,208,191,158,95,66,59,42,33,43,38,38,40,61,125,166,200,201,207,209,209,210,189,153,101,73,67,51,36,38,37,44,43,73,131,174,205,204,209,209,208,210,191,157,96,64,58,48,35,35,32,42,64,108,155,189,208,208,209,208,206,210,196,167,94,58,55,51,41,38,32,41,85,141,175,193,210,210,211,208,205,210,201,175,114,73,65,58,46,39,36,49,100,161,178,182,208,210,213,210,205,210,204,180,140,92,74,59,40,34,36,57,110,172,177,173,212,209,209,210,211,209,204,198,162,120,96,58,36,39,51,96,150,162,211,196,212,209,209,209,210,209,206,201,180,145,126,98,88,102,114,148,164,174,215,205,212,208,207,207,209,209,209,206,195,168,149,128,132,155,164,180,168,176,206,203,211,208,206,206,206,209,211,211,204,180,152,133,144,169,175,172,164,171,189,194,1
158,168,171,170,167,164,187,226,193,158,156,166,180,162,137,179,184,177,178,189,149,166,178,183,183,177,187,212,169,168,170,163,165,165,158,169,179,166,154,150,155,171,178,180,182,177,180,192,149,167,169,162,151,157,169,156,157,144,130,123,155,165,163,161,169,173,177,185,159,163,156,167,154,149,171,146,157,150,141,134,135,143,147,157,173,176,173,176,174,168,152,161,158,159,172,135,146,152,158,161,124,134,148,171,188,175,155,151,167,167,153,147,155,170,166,124,148,163,182,194,131,133,146,174,188,167,145,147,156,155,155,149,162,172,148,136,171,185,196,197,136,127,131,158,175,162,155,172,158,144,158,168,184,169,136,165,148,158,165,161,141,143,153,152,144,156,167,162,135,122,164,155,142,159,155,187,152,138,150,163,137,132,148,157,142,141,155,154,155,149,167,144,127,144,151,171,166,154,151,151,134,122,148,170,150,146,159,152,155,168,168,141,129,142,148,145,155,158,152,147,139,126,149,173,165,174,184,160,139,172,166,147,146,155,149,121,137,157,153,148,163,152,158,162,168,200,209,175,152,181,165,143,148,156,144,116,142,162,153,137,193,194,182,162,172,207,213,187,182,193,166,128,130,139,132,135,157,160,149,133,190,214,206,180,182,190,185,180,180,180,167,125,122,131,125,167,172,155,147,147,161,207,214,196,187,165,146,158,150,155,167,133,129,136,126,190,190,159,153,162,173,176,177,194,169,171,157,154,121,127,157,153,142,151,151,155,170,145,156,149,161,165,169,184,162,164,157,157,153,137,151,161,177,187,153,117,144,134,156,154,149,154,163,176,156,158,161,165,175,154,156,152,160,175,153,127,130,132,157,141,147,152,165,172,157,156,168,175,175,161,161,140,133,153,156,152,134,138,155,120,0
207,206,206,206,206,207,208,209,210,210,210,211,212,210,206,203,206,204,201,197,207,207,206,206,207,207,208,209,209,208,208,209,210,209,206,203,208,204,200,196,207,207,206,206,207,208,209,209,208,207,206,206,208,208,207,205,209,203,196,193,208,207,207,207,207,208,209,210,209,207,205,206,207,209,208,208,206,200,192,189,208,208,207,207,208,208,209,210,210,208,207,207,209,210,210,209,205,198,190,187,208,208,208,208,208,209,210,210,211,209,208,209,210,210,209,208,204,198,192,188,209,208,208,208,208,209,210,211,210,209,208,209,210,209,206,204,205,202,197,193,209,208,208,208,208,209,210,211,208,208,208,209,210,208,204,201,207,205,201,197,206,207,209,210,210,209,207,206,207,207,208,209,209,209,208,208,200,211,205,194,207,207,209,209,209,209,207,207,207,208,208,208,208,208,207,206,208,217,206,193,207,208,208,209,209,208,208,207,208,208,208,208,207,206,205,204,213,218,202,184,208,208,208,208,208,208,208,208,208,209,208,208,207,205,204,203,213,213,192,168,208,208,208,208,208,208,208,208,209,209,209,208,207,206,204,204,216,212,185,157,209,208,208,207,207,208,208,209,209,209,209,209,209,208,206,206,217,210,181,152,209,209,207,207,207,207,209,209,209,209,210,210,210,209,209,208,211,204,173,144,210,209,207,206,206,207,209,210,209,209,210,211,211,211,210,210,202,195,163,134,207,206,206,207,210,211,210,209,207,208,210,211,211,210,215,222,212,161,115,106,208,208,209,212,214,215,213,210,215,215,212,206,199,193,194,196,176,144,114,106,209,210,211,214,215,212,207,203,209,207,200,187,174,166,162,162,142,133,121,111,211,211,213,213,211,204,195,189,192,192,185,171,157,150,146,144,131,135,130,116,0
165,164,161,159,159,160,162,163,164,166,168,170,170,169,167,167,166,166,164,163,168,167,165,164,163,164,165,165,166,169,171,173,173,172,171,170,168,168,166,165,172,172,171,170,169,169,169,168,170,171,174,176,176,175,173,172,171,170,169,168,175,175,175,174,173,171,170,169,171,172,175,177,178,177,175,174,174,173,171,170,178,177,177,176,174,172,169,168,169,172,175,177,178,178,176,175,174,173,172,171,180,179,178,175,173,171,169,169,169,171,175,177,179,178,177,176,174,173,172,170,183,181,178,175,172,171,170,170,170,172,175,178,179,179,178,177,173,172,171,169,186,183,179,175,172,171,171,171,171,173,176,179,180,180,179,178,172,171,170,168,187,184,180,178,176,174,170,168,173,174,176,177,178,178,177,177,171,170,168,166,182,179,177,176,175,174,172,170,173,174,176,177,177,176,175,175,171,170,168,166,176,175,174,174,175,175,174,172,173,174,174,175,175,173,172,171,170,169,168,167,176,174,173,174,175,176,175,174,174,174,174,174,173,171,169,168,169,168,168,168,179,176,175,175,176,176,175,173,174,174,174,174,173,171,169,167,168,169,169,169,179,177,175,175,176,176,174,172,173,173,174,174,173,171,169,168,167,168,169,170,177,176,173,174,175,175,174,172,174,174,175,175,174,172,171,169,166,167,169,171,174,172,171,172,174,175,174,173,173,174,174,175,175,173,172,171,166,167,169,171,172,171,171,174,178,181,181,180,179,178,178,178,179,177,174,171,168,168,168,168,171,170,171,174,178,182,182,181,180,178,177,178,178,175,172,169,168,168,168,168,169,169,170,174,179,183,184,183,180,179,177,176,176,173,170,167,168,168,168,168,168,168,170,174,179,184,185,185,181,179,176,175,174,171,168,165,167,167,167,167,0
116,92,91,79,74,84,79,81,92,135,144,128,103,97,128,144,128,110,99,106,145,103,85,72,68,77,71,73,95,151,142,120,119,113,128,150,136,119,108,113,164,106,78,71,72,77,71,76,104,164,138,107,127,128,131,152,144,127,114,114,147,91,76,82,86,86,79,91,117,162,135,105,120,134,144,146,153,137,121,116,113,76,84,100,99,90,85,101,132,147,135,119,116,142,163,135,144,135,125,123,91,73,96,111,100,89,90,115,145,141,139,142,135,156,164,109,93,98,105,114,88,80,106,112,96,94,110,145,156,153,146,160,171,169,136,67,42,51,65,76,93,86,108,110,95,104,135,178,165,171,151,170,201,173,102,30,27,33,37,38,114,107,93,92,108,126,153,186,184,186,183,200,204,173,62,38,35,29,29,32,120,114,107,118,141,154,174,200,207,212,211,222,210,156,44,20,20,21,28,39,125,123,132,161,192,195,197,210,220,223,226,228,195,123,28,15,20,20,27,39,134,139,158,198,231,226,209,210,218,219,220,216,169,90,29,34,37,32,31,36,154,160,175,209,236,230,211,208,216,216,217,203,150,69,37,45,46,41,39,42,163,173,179,195,218,222,213,212,215,218,219,197,142,56,39,37,46,44,46,52,142,162,173,181,204,220,221,220,216,218,218,194,142,62,58,46,54,50,49,53,108,143,166,177,203,226,231,226,219,221,219,192,148,81,89,73,69,60,49,45,84,122,121,143,146,190,218,222,203,215,200,170,150,122,98,101,104,79,50,36,81,107,98,113,114,149,183,196,186,197,184,165,154,135,116,117,120,97,71,58,79,92,82,97,97,120,154,174,163,170,164,158,160,152,140,139,112,93,77,73,70,80,79,101,106,113,143,163,150,150,149,154,163,165,156,152,130,110,88,80,0
161,134,113,118,138,151,154,154,173,181,185,180,177,186,199,210,201,204,204,200,164,140,117,116,128,138,143,146,135,154,176,186,189,188,185,182,193,197,196,191,154,135,116,111,119,129,139,145,143,140,134,129,135,154,174,184,178,183,183,179,151,134,117,109,114,123,129,132,131,128,119,113,119,134,148,153,160,166,169,168,161,145,124,113,114,116,112,106,119,124,129,131,135,137,134,126,144,150,154,153,161,147,129,116,116,116,110,98,121,124,125,126,130,135,135,132,133,138,138,135,156,148,134,119,115,117,115,108,101,112,122,129,132,133,128,122,126,129,128,123,162,158,142,122,110,110,112,109,106,113,116,115,117,124,130,131,126,129,127,121,154,161,132,104,103,93,93,124,113,114,111,104,106,119,138,149,144,138,129,121,159,166,140,113,106,89,84,111,106,108,113,120,122,122,130,140,162,141,126,115,159,167,147,122,106,82,74,98,97,96,103,117,120,115,117,125,154,124,113,112,142,150,142,122,100,74,70,94,96,95,94,98,103,109,114,116,130,103,106,119,113,121,125,115,93,71,77,101,100,102,97,91,100,116,119,111,124,105,109,123,91,94,105,109,95,80,87,105,97,99,98,98,110,120,114,100,128,121,109,101,86,78,90,109,109,98,97,100,96,86,89,110,122,114,100,93,120,130,103,74,89,72,83,112,121,113,103,93,104,79,83,118,131,109,93,98,102,128,99,63,99,79,84,100,104,114,115,94,101,84,83,112,138,139,123,111,112,116,109,88,95,76,78,90,93,101,99,78,91,82,81,97,115,123,123,121,116,121,116,99,102,87,85,91,94,98,92,74,80,86,89,90,96,107,116,120,110,117,115,104,112,103,96,97,101,103,95,79,76,95,105,99,94,101,107,106,104,109,110,104,0
151,134,163,174,156,122,98,129,132,163,155,125,112,89,79,99,116,143,157,155,117,109,135,140,128,114,108,138,134,148,137,113,99,95,111,146,171,191,198,195,124,122,135,131,123,127,137,165,142,135,123,107,98,108,149,192,228,239,240,237,140,131,129,129,128,133,151,177,155,128,114,108,98,110,154,193,231,241,242,240,151,133,127,146,151,143,154,176,153,117,95,88,79,85,117,147,186,208,217,217,159,148,146,174,174,142,140,144,126,95,64,52,47,46,65,92,146,187,210,207,130,145,153,179,167,121,101,84,81,73,47,31,33,27,34,63,133,191,226,217,98,138,159,183,165,117,92,59,47,61,46,33,40,28,27,57,128,198,237,224,86,133,162,163,157,137,98,69,38,38,25,23,32,26,29,56,124,209,237,220,96,123,128,124,139,144,113,78,51,41,30,31,32,25,36,66,147,208,230,219,109,114,101,99,134,153,123,79,61,35,27,33,27,31,67,107,181,205,220,219,114,112,107,125,162,169,131,95,84,44,33,38,25,41,110,168,205,196,204,212,130,133,147,180,203,184,145,129,119,70,43,38,25,54,140,210,211,186,191,204,166,179,200,222,224,190,159,159,138,87,45,30,30,65,143,211,203,180,184,199,174,204,225,231,224,199,179,179,164,114,55,34,49,76,121,168,172,163,169,181,149,194,221,223,221,216,204,200,205,154,81,52,71,84,95,119,136,138,148,156,100,143,191,199,186,197,218,220,225,214,120,91,111,83,91,134,123,115,118,130,93,123,164,179,173,185,209,216,225,227,144,103,117,116,145,178,160,147,134,126,95,110,148,178,181,185,202,208,215,233,172,128,133,158,207,220,209,198,177,155,104,108,147,194,205,195,193,192,201,225,187,154,154,187,237,232,226,227,214,193,1
122,119,119,123,127,132,144,155,167,174,183,186,176,154,129,114,120,148,152,164,137,132,126,121,115,113,118,125,136,146,166,184,190,174,143,120,122,148,151,163,130,119,105,94,85,81,86,94,103,112,131,154,168,158,128,103,117,138,133,143,99,86,72,63,60,64,75,86,86,95,107,120,129,128,117,105,136,150,135,137,74,67,62,62,65,68,76,82,82,96,108,112,114,126,137,143,153,161,141,136,65,64,68,76,79,73,68,66,78,94,106,106,109,125,144,154,150,161,142,137,63,61,65,74,77,72,65,62,73,81,85,85,97,118,135,138,141,158,148,147,64,59,57,63,69,71,74,76,70,67,62,65,89,122,137,135,117,139,135,138,68,56,48,53,65,73,77,80,78,68,57,64,92,111,127,146,132,126,116,108,73,57,46,49,60,68,70,69,70,66,61,70,89,100,118,146,150,144,131,113,77,61,48,49,57,61,61,58,56,58,61,73,82,83,104,142,160,161,147,123,75,65,56,56,58,57,55,55,47,50,57,72,79,74,94,132,149,159,154,133,71,69,68,70,66,59,57,60,49,50,54,69,80,78,92,123,123,139,145,138,72,72,75,77,72,64,63,66,59,60,59,68,82,87,96,117,98,112,126,132,80,75,72,74,75,71,67,66,69,72,66,65,78,88,96,108,92,96,106,120,88,75,66,69,76,75,69,65,72,79,71,62,72,85,93,102,96,89,94,109,108,92,69,55,62,76,72,57,71,74,79,77,72,91,113,118,106,99,99,109,115,103,89,80,81,81,75,67,69,69,73,72,73,98,131,142,126,119,119,129,125,116,113,114,106,90,79,80,83,81,84,82,79,99,127,138,129,122,123,134,132,121,123,134,125,98,83,89,94,93,101,100,91,96,109,113,117,110,112,123,1
200,202,205,205,206,206,208,209,204,199,193,194,202,210,212,210,207,207,208,211,190,193,198,204,208,210,209,208,198,194,190,193,202,212,213,211,208,207,206,208,175,179,189,201,210,212,208,203,188,182,180,187,200,209,212,211,210,208,205,204,159,164,176,192,204,207,200,191,174,170,169,179,192,202,208,210,210,210,207,205,143,148,160,175,185,186,177,167,153,149,150,161,173,181,190,199,203,209,211,208,127,132,140,147,152,149,140,133,115,112,116,125,131,136,151,167,188,203,212,210,114,116,119,119,116,109,101,96,82,81,85,92,93,96,114,138,170,192,211,211,106,107,106,101,92,82,76,72,72,71,76,81,77,79,101,128,157,185,210,211,105,100,91,81,73,69,68,67,73,70,73,77,76,78,95,115,146,172,199,207,109,100,87,75,70,69,70,71,72,69,69,72,72,74,91,111,141,170,196,204,113,100,83,69,64,68,72,74,71,67,65,68,67,71,88,110,139,168,196,204,115,101,81,68,64,68,72,73,73,66,63,66,66,72,91,112,144,170,197,207,116,105,88,75,69,69,70,70,72,65,60,64,67,75,95,116,148,171,194,203,120,113,100,86,76,70,68,68,68,60,58,63,70,80,99,119,149,165,184,192,127,122,111,96,80,70,69,70,66,59,58,68,75,87,106,126,149,159,173,181,131,128,118,100,81,69,68,72,67,60,61,72,82,94,115,133,150,157,166,175,131,133,124,102,78,68,68,69,71,77,84,91,99,111,123,132,144,148,159,171,131,135,129,110,88,78,77,76,85,92,101,109,113,119,127,134,143,148,159,170,128,135,136,121,103,92,87,87,99,109,119,124,125,126,130,133,142,146,157,169,123,134,140,132,115,104,98,95,107,117,126,128,126,125,128,133,141,145,156,168,1
119,124,127,127,125,124,127,129,139,138,134,123,115,116,123,129,144,148,162,178,126,119,118,119,115,106,109,119,125,125,124,122,120,119,117,115,120,121,130,144,111,116,121,121,119,118,120,121,112,110,110,114,122,126,125,122,112,110,109,111,96,122,136,130,129,136,129,111,91,85,83,90,102,112,121,128,119,116,111,104,114,126,134,131,120,108,93,82,69,63,62,67,73,80,91,102,109,114,112,103,139,120,115,119,101,67,58,71,69,65,67,73,72,66,66,72,87,102,108,98,137,120,106,98,81,61,59,72,74,68,71,81,83,71,62,61,78,102,116,105,123,131,116,81,64,72,72,60,67,56,56,72,79,72,61,58,79,111,133,125,134,119,111,66,68,78,46,65,66,59,58,65,69,63,61,64,59,76,132,148,117,104,112,57,70,68,48,58,57,56,59,61,54,48,59,79,62,74,126,148,102,100,122,62,74,63,57,57,54,50,55,63,58,51,64,87,66,72,115,138,97,110,131,84,70,61,58,63,55,45,48,66,73,67,68,77,60,67,107,126,98,122,132,111,60,61,54,67,57,50,53,65,70,63,61,66,51,70,109,122,107,130,131,133,67,66,57,73,64,70,72,67,56,52,60,70,57,88,119,116,114,121,124,140,88,72,65,70,64,77,80,66,55,59,65,66,71,104,121,98,111,102,114,132,102,70,68,59,55,68,69,60,62,73,68,50,75,108,116,81,100,97,110,109,114,85,73,61,59,61,72,83,82,68,61,62,89,101,107,97,108,111,130,128,130,100,91,81,64,62,68,77,78,71,72,79,103,106,104,96,124,128,144,137,137,114,114,111,91,83,80,84,85,85,94,106,112,104,91,82,139,135,141,126,131,118,130,132,120,109,99,96,95,97,110,126,117,100,79,66,1
122,149,176,147,127,150,157,152,130,154,177,183,166,169,163,100,120,116,119,118,132,153,171,151,151,169,157,144,141,167,179,176,162,168,171,128,120,118,129,137,145,160,165,155,178,194,164,151,171,199,195,178,166,170,180,161,135,133,147,164,139,151,148,142,176,190,161,166,183,211,198,179,171,171,180,172,128,117,126,142,130,139,135,127,151,160,149,176,179,204,191,178,172,166,170,162,133,112,112,126,140,140,144,139,145,147,150,188,200,215,204,193,176,164,168,153,111,85,83,101,141,134,149,155,150,146,151,184,209,212,210,200,169,161,180,167,135,110,115,144,123,108,135,152,145,137,139,163,180,181,187,185,151,155,194,189,164,141,154,191,112,108,111,131,142,130,132,156,151,160,179,172,143,151,184,197,174,139,145,160,131,125,124,142,155,142,141,164,166,170,183,173,148,153,176,182,163,129,135,147,116,122,133,151,154,141,152,188,172,171,173,163,147,150,161,161,164,135,141,149,154,149,148,156,153,135,141,172,181,175,167,158,154,157,160,156,155,132,141,146,194,170,147,150,159,150,156,182,185,177,161,149,153,156,151,144,153,136,149,152,167,159,146,143,136,130,158,206,188,186,166,156,165,164,151,146,155,144,160,160,140,147,151,145,120,93,112,160,177,184,174,172,189,189,174,170,147,141,158,154,126,124,129,144,143,113,97,112,130,146,146,153,179,181,167,166,156,151,167,160,132,134,139,153,160,138,118,120,115,123,133,140,147,154,156,157,155,142,152,145,149,147,147,155,159,140,129,138,146,153,156,157,161,161,154,150,147,134,143,137,154,150,144,145,147,134,136,156,184,185,174,164,167,166,156,153,152,137,147,142,147,144,136,134,135,128,141,171,205,201,173,152,162,168,163,166,163,147,157,154,0
137,133,133,139,142,135,121,110,132,136,143,148,145,136,132,133,114,117,124,133,135,125,121,131,143,140,124,109,123,128,138,144,143,136,133,136,125,127,131,137,117,121,129,133,129,122,123,129,119,122,128,133,134,133,137,144,141,141,139,136,116,121,128,129,119,111,122,140,127,124,123,124,124,128,138,150,145,145,143,138,139,120,108,115,124,124,123,126,129,127,128,129,127,126,132,140,131,134,137,137,144,122,109,116,124,121,118,121,122,127,137,143,140,129,124,124,114,116,118,120,135,122,117,124,124,112,111,119,117,125,138,148,144,132,122,120,113,110,107,106,140,116,106,121,134,124,109,102,119,125,135,143,140,131,126,126,121,116,110,109,133,131,121,110,112,125,127,119,112,107,107,117,130,137,131,124,123,129,115,109,119,116,120,129,134,129,119,111,119,113,110,112,119,127,129,128,124,133,124,116,132,123,124,137,138,126,119,122,120,116,111,109,112,117,120,123,119,134,131,120,159,146,130,122,115,113,123,138,116,113,111,111,113,114,111,108,118,135,139,128,157,157,146,122,109,113,125,131,120,117,112,112,115,114,111,107,119,133,147,146,139,157,163,152,140,137,128,117,131,126,119,114,112,113,116,117,113,121,143,157,149,155,160,163,161,150,133,119,128,132,131,122,111,107,113,120,108,106,133,160,173,153,140,145,152,143,133,128,117,131,141,132,112,100,104,114,112,102,130,164,180,162,160,143,135,145,134,124,122,121,137,141,121,116,114,97,88,95,125,155,170,159,170,163,153,155,147,144,136,130,137,138,122,120,120,107,104,102,121,142,164,159,184,188,174,166,157,163,153,140,136,136,129,133,137,130,124,111,115,126,172,163,191,202,186,169,156,167,162,145,135,136,142,149,153,153,139,118,111,115,0
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179,159,139,121,112,106,167,168,179,183,182,167,140,118,116,124,146,162,168,159,181,164,140,113,94,93,143,170,173,175,172,158,131,102,89,87,119,139,155,156,191,171,146,126,110,115,126,165,155,154,152,141,121,96,80,75,103,127,149,156,187,170,153,152,151,158,116,141,142,137,132,126,112,95,82,77,84,105,129,140,165,160,156,163,163,164,105,113,129,125,121,115,101,79,62,56,49,64,84,100,149,159,163,157,146,138,109,109,106,108,110,103,83,57,36,29,32,38,53,71,154,164,161,143,131,125,138,120,102,106,105,92,66,37,23,23,34,33,45,67,163,163,151,129,129,130,165,126,123,121,112,87,51,23,19,26,28,25,40,69,151,157,137,123,111,146,131,122,138,153,137,69,32,32,24,28,19,28,29,99,141,139,125,125,119,143,128,117,131,139,124,66,32,30,21,28,22,28,43,123,141,131,122,137,129,136,129,122,120,109,92,50,24,24,22,32,33,37,65,151,146,133,130,143,123,112,128,132,114,80,59,34,21,28,31,42,32,40,80,159,136,129,128,130,97,81,129,144,108,61,45,37,31,38,38,43,41,66,115,180,124,120,120,111,77,72,148,160,93,46,41,42,34,41,39,38,60,103,147,190,114,113,107,94,75,87,174,165,85,42,44,41,25,36,50,57,95,141,154,162,109,106,96,81,76,100,187,158,88,49,51,40,17,38,72,91,155,194,175,152,105,112,94,80,119,126,164,179,147,80,40,34,26,44,93,130,192,208,191,163,128,125,100,89,130,143,178,187,195,125,72,56,55,81,129,158,182,203,200,186,144,135,109,107,149,165,189,187,211,160,118,106,114,138,160,164,166,188,194,191,142,136,117,129,162,178,190,176,194,170,145,140,155,174,173,158,164,176,180,178,1
176,155,168,165,185,212,173,135,139,172,163,164,168,166,176,163,136,162,191,202,164,158,175,184,197,203,164,120,119,140,131,146,172,179,181,163,148,159,177,189,149,161,175,195,189,167,137,93,85,92,85,115,163,180,175,153,142,139,143,156,139,160,165,177,148,105,95,63,59,57,54,85,137,161,155,141,155,144,144,158,146,163,154,143,95,52,61,48,44,44,44,62,105,135,131,127,159,155,159,169,155,160,144,111,61,37,49,49,35,37,42,44,81,119,116,118,147,154,161,164,153,143,134,90,51,51,52,51,37,42,48,44,86,137,132,128,149,164,172,164,143,125,123,78,52,68,55,50,52,55,63,58,109,171,161,151,146,163,169,156,160,121,114,72,34,54,62,59,72,62,60,74,152,167,160,141,151,165,149,128,177,127,111,78,48,61,60,52,60,60,61,70,133,151,149,133,151,156,151,139,206,145,115,93,74,75,65,53,51,65,72,74,119,142,146,134,151,144,147,154,225,163,123,109,94,80,66,59,48,68,79,80,111,145,156,145,148,132,144,165,231,178,133,121,102,70,57,55,51,69,78,85,106,149,166,156,152,134,146,166,227,193,150,138,113,66,53,53,63,73,80,94,104,151,173,171,159,149,150,157,207,194,160,153,127,75,59,57,72,78,84,102,97,142,170,178,165,164,150,139,182,182,155,156,135,81,64,57,72,76,82,101,84,127,158,173,166,172,148,123,193,171,144,135,143,140,112,79,74,97,82,62,72,119,173,179,158,158,155,148,177,160,141,140,156,162,143,118,125,132,93,54,56,111,179,196,171,169,165,159,158,146,134,139,158,170,162,147,162,172,136,92,86,126,180,189,171,165,156,150,153,143,135,139,152,162,159,151,171,194,175,140,126,144,174,166,170,159,145,136,1
138,205,217,198,214,215,201,210,205,204,196,210,172,104,95,97,122,179,210,207,144,205,217,204,220,221,201,205,214,212,209,220,180,126,125,127,145,190,205,195,144,198,214,211,229,227,208,208,217,219,223,221,176,139,144,137,150,186,192,179,154,195,209,209,222,216,198,197,224,228,227,192,138,134,153,141,166,204,214,202,163,185,190,189,193,183,166,165,216,230,222,160,113,136,164,161,191,230,238,223,140,142,140,145,156,149,135,130,154,189,201,153,124,142,155,166,212,242,241,216,106,88,78,95,118,119,101,88,79,114,139,118,110,107,107,153,217,241,231,206,95,62,43,65,93,95,70,47,49,61,70,57,60,49,61,151,191,214,203,182,84,40,30,58,68,54,42,39,53,37,36,44,37,26,51,91,109,101,118,147,92,56,44,56,51,39,43,54,47,36,33,37,30,20,37,66,60,47,57,78,122,93,71,59,50,48,45,35,44,41,41,40,34,31,40,56,44,31,41,64,178,164,136,96,60,53,47,29,30,38,44,40,35,38,48,57,57,46,55,73,228,221,213,174,99,41,35,47,34,49,57,50,42,46,57,64,57,52,67,88,230,209,223,236,176,80,31,32,37,50,60,54,46,49,56,59,57,63,87,111,196,172,185,225,224,164,87,32,31,41,51,58,61,65,63,61,81,89,112,128,169,164,164,179,209,223,168,85,54,61,73,93,109,114,109,103,111,121,148,163,180,170,149,167,199,210,202,168,119,110,116,150,169,200,141,90,100,161,211,224,159,165,157,170,189,201,215,207,173,165,172,193,193,208,161,130,147,194,229,236,156,164,155,158,164,174,201,206,191,187,205,220,204,206,184,183,181,214,233,235,166,162,139,140,148,156,178,178,170,170,202,216,198,191,190,210,185,211,224,224,1
165,151,158,136,92,76,78,79,83,61,36,23,21,23,30,38,51,98,108,86,133,139,158,141,101,91,95,89,91,76,48,24,23,43,62,69,73,102,114,108,120,137,156,140,103,101,114,104,89,87,69,47,45,59,61,50,64,68,86,103,132,137,138,127,98,102,128,119,111,103,88,72,68,64,47,27,42,27,49,82,118,113,102,105,97,108,141,130,111,82,53,45,45,39,31,28,39,27,51,87,79,80,69,87,95,116,147,118,65,36,16,20,26,23,27,37,38,48,82,116,66,84,70,75,85,110,134,76,34,29,28,34,36,34,35,40,36,77,117,142,80,113,89,73,69,97,114,35,22,33,39,31,22,20,23,26,45,105,144,155,99,102,87,78,91,98,80,64,50,27,30,28,25,31,27,30,65,107,143,150,106,103,94,95,103,89,61,48,30,34,46,31,27,39,34,36,80,107,132,137,108,102,100,113,120,94,61,52,42,49,58,45,40,39,35,56,101,109,118,124,103,102,104,119,130,113,92,89,76,49,45,52,54,38,42,94,120,114,115,124,99,107,105,108,121,122,119,123,98,49,34,45,56,56,71,124,126,117,119,132,103,113,107,98,102,110,120,134,125,81,69,68,69,86,103,124,123,119,122,134,111,115,113,105,99,95,107,136,153,114,129,131,105,107,114,111,119,119,118,118,115,115,115,118,109,89,102,141,159,118,160,185,140,114,112,109,118,118,113,101,158,135,110,107,111,102,102,124,155,145,157,167,138,105,104,118,128,118,99,80,193,175,139,106,97,103,118,136,148,147,156,155,136,123,121,117,115,106,89,73,202,208,184,137,111,117,127,126,137,143,148,138,131,142,137,113,97,89,76,63,195,214,212,172,132,127,131,121,131,133,131,123,128,148,140,107,84,77,66,59,1
139,143,149,140,128,126,111,80,82,57,60,79,149,89,74,74,58,74,92,95,147,145,146,140,133,130,104,65,64,52,57,70,140,105,85,69,61,64,71,77,154,146,142,136,129,121,88,43,43,47,54,56,121,118,92,59,73,59,53,62,156,149,142,130,110,95,68,31,35,43,50,52,100,121,91,59,78,59,52,65,160,156,148,122,89,69,54,35,37,39,46,57,88,124,93,76,81,68,67,79,167,162,149,118,76,57,55,49,42,36,43,62,82,135,99,88,94,90,88,88,174,160,141,110,74,62,64,60,44,37,41,60,76,150,101,79,96,96,90,78,178,155,130,102,76,69,70,63,46,40,39,55,69,157,98,61,77,80,73,59,180,155,127,95,68,61,61,52,39,44,38,30,93,132,86,65,74,64,70,79,177,151,122,92,66,61,60,50,38,42,36,35,98,135,89,61,68,71,83,90,178,151,121,91,66,61,58,45,42,43,38,49,112,144,99,64,56,69,88,98,182,154,124,92,68,61,55,41,48,49,49,73,133,160,118,77,44,50,75,97,178,152,123,93,67,61,57,43,53,57,61,97,151,169,134,89,44,36,60,95,171,148,123,94,68,63,59,49,55,63,72,117,159,166,142,94,60,49,67,101,174,155,132,102,71,62,62,54,58,69,83,131,160,157,141,95,83,82,98,112,185,167,143,110,75,63,62,54,62,76,91,140,160,151,139,95,98,111,126,119,186,173,156,133,100,66,52,55,57,76,127,162,164,152,124,108,114,102,112,133,190,179,165,145,112,77,58,60,61,79,124,162,164,148,120,100,115,104,111,128,193,186,178,162,132,96,76,76,81,90,120,155,159,144,124,105,122,110,114,126,195,190,185,174,147,115,96,97,107,105,116,147,153,142,137,122,131,119,122,129,1
194,199,199,204,213,210,206,215,213,212,211,207,207,210,211,209,206,207,207,206,200,209,210,208,207,193,183,188,184,199,214,215,207,201,204,208,206,207,208,207,203,216,210,190,166,137,120,123,113,150,194,216,212,200,201,208,207,208,209,209,211,224,206,158,109,72,58,65,53,99,162,206,218,208,201,202,206,208,210,209,217,226,195,126,67,37,35,50,49,79,131,182,210,210,200,193,204,207,209,210,197,200,159,88,40,25,33,48,53,63,93,144,185,200,198,194,202,205,208,209,173,169,124,61,31,29,30,31,42,44,70,119,165,189,195,198,200,203,207,208,172,161,112,57,39,41,31,18,36,42,71,120,162,182,189,194,199,202,206,208,143,143,116,54,32,45,33,27,39,38,64,109,140,195,193,193,201,204,207,208,138,145,139,81,39,39,34,34,31,46,63,78,103,181,198,196,200,203,206,207,119,135,164,130,73,52,39,32,31,40,50,63,93,179,198,195,200,203,206,207,113,124,175,175,128,98,65,32,35,26,41,83,128,197,197,191,201,203,206,207,142,131,168,181,162,148,107,60,38,40,67,112,152,212,204,191,200,203,206,207,166,141,149,149,151,162,139,108,59,92,121,128,137,204,209,198,198,201,204,205,150,142,144,129,135,157,154,154,119,147,159,138,122,183,199,200,195,198,201,202,119,141,157,137,138,157,164,182,180,177,169,148,125,166,182,199,192,194,197,199,150,143,145,142,122,122,150,175,180,146,139,130,139,134,159,166,170,176,189,199,174,163,160,152,127,119,138,154,171,144,140,127,130,118,141,153,161,167,179,189,187,176,175,169,150,141,154,163,157,140,140,124,123,106,126,142,144,149,159,169,187,179,182,182,170,167,176,179,147,136,135,122,128,109,123,141,133,137,146,155,1
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97,109,109,111,122,122,111,108,111,89,80,84,87,96,104,101,95,81,75,84,90,125,143,134,115,96,94,107,113,111,106,92,85,104,118,112,116,114,109,102,114,124,119,108,112,129,152,178,179,184,171,134,109,117,113,81,99,111,112,99,105,116,124,143,180,204,210,213,228,228,220,198,190,197,176,131,95,106,113,110,124,157,186,206,221,219,209,210,215,212,216,223,229,236,227,199,148,141,140,144,183,205,213,208,206,202,203,214,204,199,207,213,206,206,213,212,190,166,149,148,200,209,207,205,210,208,200,199,205,201,208,209,200,200,213,218,193,175,154,143,209,216,209,199,201,200,198,202,208,201,201,200,195,199,201,190,196,193,181,165,205,202,198,195,197,199,205,208,201,201,202,203,203,202,201,202,200,194,186,181,202,201,200,199,200,201,204,204,201,201,202,202,203,202,201,201,202,198,194,192,197,198,200,202,202,203,201,200,202,202,202,202,201,200,199,198,199,197,197,197,196,198,201,203,203,202,200,198,203,203,203,202,201,200,198,198,198,198,197,198,198,199,200,200,201,201,201,200,202,203,203,202,201,200,198,198,201,202,201,202,200,199,199,199,199,200,201,202,201,202,202,202,201,200,199,198,197,200,201,200,199,199,199,200,200,201,201,201,200,200,202,201,201,201,200,200,195,197,199,198,198,199,201,202,202,201,200,199,199,200,201,201,202,202,201,201,200,202,203,200,197,200,202,202,200,198,200,202,202,202,203,202,201,199,200,200,198,202,202,200,197,199,202,202,200,199,200,202,202,202,201,199,197,195,197,199,197,201,203,200,197,199,201,201,200,200,200,202,203,202,199,195,191,189,193,196,195,201,203,200,197,198,200,201,201,201,201,201,205,202,198,190,185,183,189,193,193,200,203,201,0
120,129,126,107,91,84,73,60,90,93,86,81,99,124,123,104,71,73,74,71,115,118,123,123,112,96,80,71,79,71,70,90,129,144,108,59,63,72,83,89,77,77,90,111,115,100,88,88,86,87,91,102,114,111,85,59,73,76,79,78,57,54,64,86,98,98,96,101,101,112,118,103,77,60,62,73,77,80,82,81,76,71,65,64,72,85,94,98,96,103,105,92,70,56,60,69,77,90,109,124,81,74,60,50,52,68,82,88,93,99,97,82,70,73,86,97,104,114,128,136,85,76,71,71,73,77,89,102,117,127,121,92,74,83,104,117,121,122,123,120,114,103,106,122,122,109,114,134,150,155,141,110,92,96,98,90,93,101,110,116,131,129,142,149,135,124,129,133,138,140,140,132,114,91,85,91,133,141,151,157,136,134,135,125,102,94,98,95,87,89,90,95,97,95,115,154,190,184,176,170,149,142,132,105,73,62,62,56,49,46,40,47,63,77,133,215,208,194,177,167,154,140,127,101,62,39,36,35,30,32,27,33,42,49,116,216,202,194,186,184,148,131,122,105,61,25,20,27,18,27,32,37,35,40,104,194,196,194,190,189,155,142,136,114,63,26,22,31,28,24,25,25,24,59,137,207,187,179,167,156,175,177,166,120,59,32,33,34,43,27,28,29,38,103,182,214,174,158,136,121,192,204,187,117,49,33,37,28,39,27,47,64,78,145,200,187,148,128,104,92,205,208,181,126,70,30,25,42,57,69,74,88,127,155,153,144,102,105,106,105,207,201,167,116,76,54,59,78,100,112,117,126,146,151,138,130,118,124,132,139,208,203,170,128,107,102,112,129,143,151,152,154,156,140,125,127,145,158,175,188,198,205,186,154,142,143,148,158,158,157,155,154,146,123,121,142,166,181,202,217,1
187,173,166,171,175,176,187,202,172,158,174,72,45,36,53,74,105,155,178,104,194,186,188,196,194,191,203,220,226,166,154,72,63,55,50,40,72,124,170,128,174,175,184,184,170,171,190,203,229,147,130,71,53,45,53,48,51,97,170,176,162,179,194,180,161,179,208,208,197,111,97,60,34,30,62,71,39,66,140,181,161,191,219,200,180,213,239,217,173,83,59,50,43,45,61,51,53,56,107,162,169,193,224,210,185,207,215,173,125,65,49,57,58,58,55,32,72,67,96,161,178,173,195,193,160,159,154,109,80,69,66,73,66,61,61,47,66,69,89,162,160,129,140,149,118,105,99,66,80,89,82,81,76,76,73,59,68,81,97,171,145,119,102,103,100,89,89,99,121,110,101,97,89,78,73,73,86,106,84,157,146,117,94,93,99,105,115,128,127,126,123,118,101,83,80,86,78,96,74,139,154,143,129,120,112,107,107,113,94,87,87,91,86,78,81,89,75,96,83,138,163,171,173,158,132,113,107,109,90,66,54,66,83,87,89,92,69,96,99,142,165,172,177,172,160,151,148,147,125,96,79,87,96,89,78,76,75,102,111,134,169,163,166,182,195,191,173,158,149,134,130,135,125,97,76,74,115,135,143,140,163,152,157,184,202,194,173,161,161,153,160,176,170,140,118,115,154,173,183,165,149,136,141,164,178,177,183,197,157,141,146,175,187,170,147,138,165,187,204,181,146,144,155,170,173,174,199,234,192,149,144,174,186,182,163,135,150,155,171,175,150,149,155,162,162,164,184,208,188,159,159,177,179,174,160,137,136,135,145,149,158,159,159,154,152,157,169,179,196,176,162,152,143,151,159,155,152,151,163,174,167,172,167,154,151,161,167,164,166,175,179,167,155,153,147,133,148,154,179,201,1
103,109,104,111,128,116,97,103,135,155,171,163,137,113,104,106,105,133,156,158,108,102,87,98,135,140,118,111,102,109,116,121,128,132,123,111,106,124,139,141,127,117,93,98,135,142,115,99,62,63,60,66,91,120,127,120,119,123,128,132,142,141,120,113,132,127,93,75,43,50,45,35,45,79,111,123,130,124,123,127,148,149,131,127,143,127,83,60,38,51,50,34,30,54,87,106,122,119,119,125,162,151,131,135,156,131,75,47,30,38,42,39,40,49,62,69,100,110,121,127,170,156,135,139,151,114,61,44,27,28,34,44,49,47,45,47,75,101,125,131,161,153,138,140,137,92,52,56,36,34,40,53,53,43,41,49,53,91,125,130,151,152,137,129,124,90,55,55,52,43,50,44,41,42,32,41,50,77,102,118,136,137,124,122,125,102,67,58,49,41,51,49,47,48,37,44,46,59,86,110,134,131,118,116,125,111,72,47,46,40,52,51,50,50,37,43,52,45,72,102,132,127,115,115,128,122,84,47,49,43,54,53,52,50,36,41,56,42,74,108,119,111,108,117,133,138,109,71,53,46,56,53,52,51,40,46,43,46,93,132,113,102,106,121,132,139,124,94,58,48,52,46,45,49,41,51,36,62,119,156,115,101,109,125,126,127,123,105,81,66,63,51,47,50,46,59,47,83,125,144,111,95,108,127,121,121,124,116,112,93,85,67,58,61,57,70,60,93,112,109,110,123,133,128,118,113,113,113,118,116,107,89,74,74,90,107,123,103,100,108,124,133,137,130,120,114,111,109,100,102,100,93,90,97,116,133,137,119,118,127,133,136,135,126,119,115,110,106,102,105,106,105,105,112,126,137,140,126,127,136,130,129,124,117,116,115,112,105,112,114,114,114,115,118,124,130,132,122,127,135,1
92,70,61,53,61,82,77,61,49,46,63,84,71,45,56,92,101,76,54,49,106,88,74,60,64,84,90,83,66,63,54,43,36,40,52,62,99,78,62,60,114,106,86,67,66,80,92,94,78,76,59,37,35,55,75,81,105,96,88,87,110,114,92,75,71,71,79,75,53,55,53,47,43,52,76,98,107,118,127,126,105,124,101,91,89,71,66,54,40,49,55,55,55,66,81,91,95,129,157,158,100,133,111,107,106,76,66,50,50,67,70,63,81,112,113,91,90,135,170,167,88,133,110,107,105,71,69,60,58,74,82,85,105,130,124,99,98,144,174,163,73,126,102,96,93,60,68,69,80,90,109,129,136,130,122,118,106,148,173,163,81,79,93,92,72,72,83,75,86,109,108,144,145,121,149,149,135,141,150,155,85,75,79,77,62,72,96,102,94,106,96,124,133,124,161,167,142,151,161,165,93,76,70,66,58,70,101,121,114,110,88,109,114,105,140,153,147,154,161,162,101,84,72,68,63,72,99,124,128,109,89,109,101,73,96,122,148,148,150,151,109,95,77,67,69,79,104,133,137,107,92,112,96,58,80,126,147,143,141,147,116,106,78,57,64,82,110,140,147,114,98,104,87,64,93,148,151,144,139,142,119,116,80,46,51,72,94,119,135,111,94,80,70,79,114,159,156,151,144,141,120,122,83,40,41,57,69,85,102,93,79,54,57,94,132,162,159,158,155,148,103,132,102,56,39,49,67,60,73,66,63,53,74,123,138,125,149,143,154,152,97,127,109,78,63,59,60,47,48,47,53,58,89,137,148,126,142,140,149,148,94,124,121,116,107,84,67,48,42,49,61,82,118,159,164,132,138,143,145,143,88,116,125,142,142,108,81,60,59,72,84,109,138,167,171,136,138,153,145,139,1
82,79,78,84,95,100,96,90,81,93,109,131,157,179,180,173,192,203,215,218,83,79,77,79,86,90,89,88,78,91,109,125,141,161,183,199,212,213,211,208,83,80,76,73,75,80,86,90,81,93,109,120,123,136,175,214,216,214,207,200,83,81,77,71,68,75,87,97,97,101,116,129,130,135,169,211,205,210,210,203,81,81,77,70,65,70,83,96,109,106,122,149,163,166,183,209,202,212,212,199,78,79,77,70,65,67,78,90,103,98,117,157,188,197,203,212,207,215,205,179,70,73,75,73,71,75,83,91,96,94,112,153,191,208,212,215,208,215,204,177,61,67,73,77,79,85,94,101,103,102,119,153,186,207,215,217,208,217,213,196,64,59,65,65,67,95,112,93,99,95,127,174,200,206,209,207,211,211,206,195,64,56,57,57,61,89,104,91,105,113,153,199,215,213,214,215,211,210,202,189,63,53,52,55,64,90,107,101,113,135,178,207,207,205,208,206,214,211,204,194,62,52,48,53,65,83,96,100,122,166,210,218,211,219,221,201,216,215,212,209,58,52,48,57,69,76,87,102,133,188,224,206,196,224,230,197,212,213,217,220,54,53,55,71,89,93,108,137,188,219,217,165,146,192,226,210,208,208,211,217,52,55,57,75,95,96,116,160,218,225,200,141,115,159,213,228,209,206,207,211,53,55,51,62,75,68,88,138,163,169,162,129,104,130,179,207,215,209,207,210,54,54,52,51,78,130,147,123,91,117,154,170,155,145,174,215,212,211,210,209,52,61,78,99,134,181,197,179,134,154,187,206,195,180,193,219,212,211,210,209,75,89,123,159,190,219,227,212,181,189,209,224,217,203,204,217,212,212,210,209,101,116,154,195,214,224,225,214,206,203,210,215,209,200,204,215,213,212,211,209,0
118,136,150,149,152,165,174,173,167,181,194,199,203,210,212,210,205,206,209,210,170,174,165,148,149,167,174,169,174,186,198,203,207,210,207,202,210,210,211,211,198,189,163,137,145,175,189,180,168,187,205,214,214,213,213,212,213,212,210,209,210,197,166,137,145,176,187,179,170,187,207,214,211,205,204,205,212,211,209,208,180,175,161,148,159,184,193,185,186,186,191,203,215,217,212,206,214,213,211,209,151,151,151,154,162,166,160,149,132,117,112,137,178,208,217,216,219,218,216,214,165,156,152,155,144,115,81,61,43,32,30,48,86,130,175,203,218,218,219,218,154,141,138,148,138,99,53,30,33,37,36,29,29,64,133,194,212,214,218,222,148,130,122,126,108,70,35,26,30,30,43,30,26,39,88,190,226,205,211,226,142,142,129,99,64,38,28,28,51,31,30,26,28,38,86,185,209,205,211,215,154,153,125,75,45,44,42,31,43,25,31,40,40,42,86,174,201,211,209,197,157,158,130,83,59,62,56,41,27,29,38,41,33,42,98,175,199,205,182,157,147,160,154,118,79,57,49,44,28,34,33,29,33,70,143,193,211,200,160,132,165,168,164,144,114,84,58,43,34,45,51,71,100,152,204,207,194,170,137,123,184,178,165,154,151,141,113,85,69,89,111,157,188,211,226,188,139,117,113,124,173,181,178,163,162,170,167,151,130,147,171,216,221,209,203,157,116,101,124,156,169,161,166,175,181,196,209,207,202,205,207,194,181,180,163,127,128,152,194,163,179,165,167,185,203,218,217,199,197,189,179,164,153,153,143,122,149,164,200,170,177,170,180,202,218,228,220,199,192,171,147,132,127,129,129,128,151,156,191,174,162,174,200,217,216,216,217,209,191,163,132,121,125,125,130,145,143,139,176,174,1
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162,152,161,147,181,214,184,196,198,208,207,205,207,194,171,158,161,162,170,184,162,152,161,137,155,192,174,182,214,217,208,194,191,179,162,156,163,164,173,187,149,145,166,142,139,164,153,151,175,186,184,178,180,176,167,167,155,156,162,174,151,137,155,141,122,137,142,148,140,160,170,175,183,182,178,182,170,172,176,180,163,130,126,116,99,114,148,178,173,184,179,168,165,161,159,166,172,181,185,182,155,125,105,101,92,101,132,163,186,182,154,122,107,102,106,117,135,159,176,173,151,141,110,90,85,83,88,94,119,116,92,66,58,56,59,70,94,139,181,188,173,170,116,72,64,60,50,38,43,53,49,44,48,48,45,48,55,118,178,198,156,166,127,87,81,58,34,48,47,55,60,57,53,55,56,57,38,78,145,178,167,174,155,113,82,69,59,52,45,49,60,72,73,67,67,75,45,70,121,150,170,172,170,134,88,83,86,65,48,48,63,82,81,61,54,61,84,89,113,131,171,165,154,132,107,99,96,86,47,49,60,80,92,101,114,127,131,124,126,135,174,157,121,114,130,111,90,105,95,99,98,100,120,155,185,199,154,148,143,147,176,149,100,103,137,114,85,110,138,150,151,142,149,169,176,170,167,171,161,153,186,151,116,121,139,126,110,122,130,142,152,157,162,167,162,152,176,193,181,158,200,164,148,152,147,147,150,143,151,145,142,146,153,158,167,175,176,203,191,159,219,179,191,171,160,168,190,181,186,200,203,177,144,136,159,182,187,180,166,151,185,159,181,163,149,157,187,190,180,187,189,170,147,140,152,164,172,169,160,149,175,163,193,169,147,147,180,195,182,181,180,172,161,155,153,152,160,162,160,156,180,178,208,180,153,146,176,198,188,181,177,175,172,166,157,150,149,156,161,162,1
132,133,144,157,156,149,151,161,181,181,164,146,148,146,130,118,130,146,140,120,142,148,159,163,151,138,145,161,179,168,142,129,144,153,138,123,139,154,153,142,149,158,168,165,146,131,140,158,171,159,131,117,133,147,141,135,150,164,170,171,152,156,162,161,150,140,145,157,171,169,148,130,133,141,146,155,163,174,181,189,153,149,148,153,159,161,161,161,179,179,162,149,153,157,159,167,174,182,185,191,157,147,140,146,161,172,173,169,176,166,148,148,167,174,164,160,176,183,181,177,161,151,140,138,147,162,171,173,157,147,134,141,166,173,160,153,163,174,169,159,164,157,144,133,132,145,162,174,142,142,137,144,162,164,157,159,146,162,158,147,141,140,139,128,120,135,156,158,129,116,132,151,146,149,164,168,134,145,158,166,150,145,145,141,137,145,148,137,134,139,153,158,142,132,137,142,154,158,160,157,161,149,143,138,134,143,151,146,146,170,179,165,145,131,131,142,165,167,165,159,145,130,123,122,120,130,143,145,145,179,181,158,147,142,146,165,148,156,162,162,110,89,87,106,121,131,129,117,124,156,157,139,140,144,147,161,130,141,150,152,93,57,49,82,120,139,136,119,104,126,133,125,126,131,132,133,129,137,142,138,86,52,44,72,99,117,125,122,97,104,114,115,109,114,119,113,122,131,135,130,73,60,69,86,81,73,80,88,95,89,100,102,90,99,114,110,102,114,125,124,79,84,89,90,89,88,84,81,72,88,84,83,76,73,91,92,85,84,101,102,71,76,80,80,78,74,69,67,65,86,85,82,71,65,86,90,66,65,82,82,61,64,68,70,67,62,58,56,65,90,92,89,73,65,85,91,60,61,76,73,54,56,61,67,66,61,57,58,68,91,93,91,76,68,84,87,68,71,85,79,0
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77,92,79,66,84,92,81,82,67,89,159,199,220,210,202,167,153,153,160,159,72,87,81,72,77,74,72,85,122,129,167,173,178,173,192,180,162,144,146,161,60,73,81,81,75,64,77,112,147,147,167,164,175,180,201,194,168,134,133,162,49,61,78,87,75,69,103,155,146,140,152,157,194,208,218,199,168,136,134,160,53,58,76,84,72,77,125,178,152,145,147,147,190,207,215,198,170,152,150,158,66,64,72,70,62,84,134,168,144,156,166,159,195,201,204,193,174,168,165,157,71,67,65,55,55,96,140,148,134,157,175,175,212,211,200,184,176,169,165,155,68,62,56,45,54,108,148,138,144,158,164,163,212,216,200,175,176,161,157,154,66,58,43,49,83,124,139,133,144,148,162,192,214,204,191,196,173,168,163,160,74,58,46,61,101,136,143,133,150,163,181,203,210,194,186,202,182,176,170,166,68,47,41,71,118,145,142,130,145,169,191,200,192,168,169,195,190,184,177,171,57,39,44,87,132,148,141,132,139,166,189,193,175,151,154,181,196,190,184,178,56,50,66,110,143,149,141,139,143,168,187,191,179,158,155,174,189,188,185,182,58,63,88,123,143,142,136,138,147,166,182,191,190,173,161,167,168,172,175,177,51,67,94,123,136,135,132,134,144,161,175,188,196,181,162,158,153,161,171,178,46,66,95,121,135,137,136,136,143,158,172,188,200,187,162,154,154,165,179,190,43,70,104,130,137,140,145,152,150,155,165,181,195,194,178,159,152,158,171,188,56,81,113,137,141,139,142,148,152,155,164,179,192,193,179,163,156,156,161,170,70,90,120,144,147,142,143,149,158,157,162,173,184,184,173,161,159,152,146,145,74,92,123,148,152,147,148,155,165,159,159,167,174,171,161,152,159,146,134,128,0
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76,79,68,60,88,142,175,178,154,167,179,162,149,157,167,179,156,150,138,126,88,89,88,103,142,185,196,183,183,179,166,145,145,162,161,151,154,154,153,152,107,107,118,143,176,195,190,175,181,177,156,139,143,159,156,138,163,165,169,176,132,136,148,168,176,171,163,161,160,171,169,169,164,160,169,167,177,171,167,169,158,157,168,183,183,167,158,160,155,169,172,187,173,152,175,191,171,160,150,149,163,157,164,185,196,184,165,157,150,154,138,154,145,124,153,166,151,143,142,152,152,149,158,175,183,174,157,146,142,151,122,129,128,123,158,156,143,137,141,159,145,152,161,166,158,146,139,139,146,174,150,148,149,158,202,190,153,142,141,154,176,137,149,142,131,155,156,148,154,185,150,143,168,182,196,178,164,148,151,166,183,138,143,147,154,185,181,165,155,180,148,146,165,172,185,169,171,162,173,190,173,148,164,179,187,202,186,160,158,176,146,144,152,151,174,170,161,157,173,191,153,155,179,192,184,179,171,156,159,174,148,144,136,132,173,185,160,152,161,176,152,158,164,167,157,153,162,163,160,181,170,169,145,136,187,206,179,161,160,169,177,176,160,163,165,158,159,149,163,194,201,204,173,158,202,211,178,157,152,161,195,196,170,176,185,172,162,141,152,185,198,204,171,155,191,182,162,148,151,162,198,199,167,170,180,170,174,163,132,160,169,173,142,131,161,142,160,154,167,183,200,181,172,163,148,182,211,171,155,146,140,164,150,144,137,159,170,173,174,183,190,175,165,153,142,173,206,191,194,162,130,152,160,170,149,146,172,187,197,208,155,161,169,168,165,171,180,182,210,191,158,158,150,165,158,162,204,227,236,233,134,152,175,183,187,172,152,165,207,213,191,170,135,149,162,184,214,236,235,215,0
153,184,177,171,183,181,167,157,160,160,150,157,174,189,199,192,203,187,170,161,173,196,184,172,177,160,128,107,104,102,98,109,132,157,185,197,205,193,184,182,180,187,178,172,176,150,107,92,77,69,68,75,95,122,160,194,196,188,183,186,179,170,167,177,185,148,101,104,81,70,73,73,80,102,138,184,206,199,193,192,180,161,171,188,192,140,76,87,73,62,76,73,71,90,117,166,208,202,196,189,172,160,181,194,200,150,66,59,67,58,77,66,61,78,90,133,191,193,191,185,162,167,192,190,210,193,101,67,73,64,80,56,48,67,68,102,173,186,196,195,165,182,202,183,216,236,145,90,75,63,78,48,39,64,60,88,146,167,187,190,187,195,209,215,205,222,217,139,69,69,48,61,57,43,70,75,113,146,178,185,201,212,216,214,204,217,223,171,85,62,50,64,54,42,60,68,95,144,182,183,199,215,207,199,194,202,218,206,115,54,49,62,49,43,49,58,74,138,186,184,182,203,186,180,186,188,208,221,149,53,43,55,45,51,47,52,65,124,178,188,171,193,175,175,188,185,198,214,178,69,41,46,45,62,57,54,64,109,160,185,168,188,173,174,187,181,186,194,193,100,49,41,47,70,74,61,66,99,143,173,168,185,175,176,183,179,185,182,194,135,65,44,51,73,88,67,66,101,140,159,171,187,182,182,183,183,193,186,191,159,79,48,53,72,96,72,66,109,145,150,165,186,194,188,183,176,176,187,190,170,121,65,44,59,73,71,98,150,168,153,157,178,186,180,173,163,160,169,179,188,168,121,87,90,107,114,158,183,176,152,139,161,169,162,153,140,134,141,151,182,196,174,148,149,163,170,190,188,169,153,126,149,159,152,141,128,119,125,131,164,190,192,188,194,196,192,179,167,156,159,1
149,130,153,141,119,134,143,160,161,150,139,132,128,131,140,151,141,147,154,156,135,133,151,138,112,123,147,165,191,183,171,155,140,129,128,133,148,148,150,152,130,141,142,136,122,133,168,176,170,167,165,161,152,144,144,147,152,148,146,148,142,154,136,135,133,142,179,174,164,160,157,158,155,146,140,138,145,144,144,146,138,159,139,134,130,132,166,171,177,167,159,159,159,152,139,131,134,139,144,146,115,142,143,136,128,126,158,190,177,166,157,159,162,157,146,139,128,134,142,144,114,128,141,135,135,135,148,195,185,176,169,164,157,146,133,128,132,134,138,140,139,130,136,130,140,140,126,167,173,171,171,168,159,146,140,140,139,136,134,137,212,217,192,162,151,138,132,145,147,164,177,164,144,155,175,177,186,174,156,140,223,231,214,173,150,148,152,153,157,164,174,171,162,172,184,180,189,187,180,170,214,224,222,183,144,153,173,162,167,160,162,165,160,161,160,149,170,179,185,182,205,208,224,198,146,151,176,163,185,168,164,169,163,159,151,139,169,176,179,176,213,205,231,222,163,152,174,164,161,146,147,151,148,146,144,137,174,170,162,150,209,199,225,227,175,159,178,172,174,168,171,174,169,172,175,167,171,169,160,150,207,200,216,208,168,161,177,169,164,165,170,169,164,170,170,156,163,173,184,188,221,219,219,193,155,155,167,153,148,155,163,162,160,170,169,148,136,159,185,198,207,225,215,181,161,154,152,154,138,146,144,148,167,173,154,136,149,158,146,156,216,219,197,171,169,168,152,137,152,156,150,150,167,172,155,139,157,161,142,145,211,197,168,162,188,199,172,140,159,160,151,149,166,171,157,146,174,175,148,142,203,182,154,162,205,224,193,154,153,153,145,147,166,172,160,151,183,185,156,146,0
171,182,164,173,182,161,154,162,140,150,181,189,166,167,177,162,155,141,122,113,171,174,151,155,164,152,149,148,152,184,192,170,155,156,161,167,159,154,147,139,161,165,151,158,166,161,158,141,166,202,178,120,99,91,89,107,96,112,133,148,149,150,146,155,161,172,184,161,178,183,144,87,62,52,51,61,50,70,102,125,142,135,136,147,145,169,204,185,158,119,92,73,52,52,61,57,60,70,89,107,143,133,151,174,159,173,203,173,135,80,61,66,53,53,60,44,69,69,78,94,163,141,163,192,165,160,178,134,115,85,64,64,65,61,53,44,69,70,81,96,191,147,150,169,132,126,147,105,66,72,52,43,64,62,48,55,64,76,104,132,183,166,143,144,119,97,107,82,49,57,45,38,52,56,56,70,99,115,140,158,168,153,131,131,112,93,85,47,48,56,57,56,69,86,102,119,140,152,158,149,142,124,99,92,84,74,66,32,45,56,74,87,97,127,161,177,147,158,155,135,116,102,92,94,90,77,68,57,63,73,102,118,122,150,183,186,160,174,183,183,77,78,96,113,104,73,56,68,91,103,132,144,140,157,173,163,164,168,189,217,79,82,98,101,91,65,54,88,102,124,150,158,158,167,172,163,165,153,165,197,112,110,105,79,76,84,86,125,112,147,168,166,170,176,179,182,198,178,171,186,102,105,94,55,64,94,97,124,134,175,188,174,173,173,176,190,203,181,163,161,81,79,81,76,97,123,129,146,147,162,186,192,146,165,190,194,175,188,161,167,122,129,141,137,152,165,159,170,162,168,184,193,155,177,193,189,178,192,165,172,144,161,184,182,187,186,165,169,170,164,171,183,155,179,187,170,169,182,157,165,157,180,210,211,208,198,171,173,172,160,161,172,150,174,176,154,156,170,146,154,1
181,147,153,152,137,132,187,202,210,177,172,169,172,155,125,146,142,112,113,131,187,143,146,150,140,126,173,192,189,175,169,144,137,143,143,170,153,131,122,127,191,154,162,160,145,124,167,199,180,165,161,145,133,134,137,161,162,154,134,121,172,152,166,138,106,86,120,155,165,136,142,172,173,147,130,136,174,182,161,140,167,154,158,99,67,58,70,85,113,95,116,168,180,159,142,128,163,184,177,163,172,153,143,72,61,69,59,52,56,67,90,118,120,128,142,115,106,132,149,152,161,137,126,57,54,65,49,49,47,62,72,81,71,89,121,92,63,85,120,140,165,143,139,67,53,53,40,60,67,62,64,84,72,78,109,85,64,82,127,154,176,165,146,80,53,74,62,59,67,69,80,76,57,68,88,85,68,100,135,153,180,180,154,94,69,81,70,51,67,59,66,67,59,71,88,82,77,112,148,164,180,207,191,139,89,71,73,57,61,51,57,71,79,90,95,86,90,120,152,165,172,202,193,171,124,79,79,66,55,50,62,90,107,109,105,100,108,125,145,153,165,163,151,174,164,113,90,63,58,53,63,90,109,106,106,118,134,136,140,144,164,149,148,181,180,131,93,72,67,55,52,71,87,86,101,137,156,149,146,150,164,155,172,185,177,142,99,90,72,55,42,57,78,81,108,161,156,151,149,157,163,148,167,169,176,169,116,96,72,54,39,59,87,92,122,181,143,143,147,158,165,169,180,198,188,172,160,117,86,82,92,85,94,136,159,168,150,157,167,172,173,179,187,202,196,190,181,134,128,142,167,152,134,150,162,172,173,180,189,194,180,188,192,201,202,210,204,152,132,152,183,168,142,147,149,154,181,185,190,194,184,192,191,195,201,220,217,159,137,143,163,151,141,156,152,146,176,177,178,178,1
189,186,186,189,191,191,194,198,189,198,204,204,196,192,194,198,211,206,203,200,192,189,190,194,195,193,194,198,196,201,204,204,198,196,198,202,200,197,199,203,198,194,195,199,200,196,196,199,203,204,205,204,202,201,203,205,198,195,196,203,205,201,200,202,201,198,199,202,204,204,203,204,205,205,205,204,204,198,196,203,210,205,202,202,201,198,200,204,200,199,202,204,206,206,203,199,203,196,193,199,209,204,202,202,202,198,199,203,194,196,199,202,204,203,199,197,197,190,186,188,203,200,201,204,204,198,196,198,192,195,197,199,200,199,199,198,185,181,179,181,197,197,201,206,205,199,194,194,192,194,196,196,194,195,199,201,172,172,177,182,189,190,207,214,199,185,188,192,190,183,185,196,201,197,195,199,186,189,189,187,186,180,189,199,195,195,205,208,193,186,186,197,202,200,202,208,201,200,196,192,180,169,171,182,188,199,208,205,191,183,183,193,202,203,208,213,202,196,189,184,178,167,166,173,179,189,189,175,182,174,175,189,205,211,212,211,198,189,182,181,184,177,175,171,168,175,174,157,175,169,171,187,208,217,214,208,199,189,183,189,185,186,186,172,157,165,174,166,169,166,167,179,197,208,209,205,200,185,176,183,161,180,192,174,150,157,174,175,160,158,156,156,162,174,188,196,209,186,169,171,133,167,193,178,148,150,169,173,148,150,144,133,128,142,168,187,228,200,175,170,136,146,145,160,164,154,152,136,136,157,153,139,156,139,162,174,187,194,205,212,163,170,165,176,176,163,158,142,150,166,166,165,194,176,175,163,179,183,193,204,212,217,209,215,213,199,195,178,182,188,179,173,200,190,198,186,192,190,192,200,225,228,219,226,225,213,212,198,196,203,194,173,180,177,212,218,211,204,199,202,0
89,93,95,91,86,87,83,81,75,76,78,82,86,90,94,95,92,89,84,80,88,92,94,89,84,82,77,73,76,78,80,83,87,90,93,95,90,87,84,81,88,93,94,89,83,79,72,68,75,77,80,84,86,89,91,92,88,87,86,85,86,92,93,88,83,79,74,68,72,74,77,81,83,85,86,86,89,89,89,89,79,85,87,84,81,79,76,71,71,72,73,76,78,81,81,82,89,90,91,91,71,77,80,77,76,77,76,73,72,72,73,74,76,77,79,80,91,91,91,92,68,73,75,73,72,76,77,76,79,78,76,75,77,79,82,84,90,90,89,88,70,74,76,73,73,77,80,79,84,83,79,78,79,82,86,89,90,89,88,86,67,71,76,77,74,72,71,74,86,84,82,79,78,79,79,80,82,82,82,82,69,73,77,77,75,73,74,76,86,85,83,80,80,79,80,81,81,81,81,81,70,74,77,77,75,75,78,81,89,88,86,83,82,81,80,80,79,79,79,80,70,73,76,77,77,79,83,89,92,92,89,87,84,81,79,77,80,80,81,82,67,71,75,77,79,83,87,93,96,95,93,90,86,81,77,75,82,82,83,84,66,70,76,79,80,83,87,92,94,94,93,91,88,83,78,75,85,85,86,86,68,72,78,81,80,81,84,87,89,90,92,92,89,85,81,78,86,86,87,87,70,75,81,83,80,79,80,83,84,86,90,92,90,88,84,82,87,87,86,86,78,78,77,78,80,80,78,77,79,81,85,89,93,94,89,83,88,87,86,85,78,78,77,79,80,80,78,77,78,80,85,90,95,94,88,82,88,87,86,85,78,78,77,79,80,81,79,78,77,79,85,93,97,94,87,81,88,87,86,85,78,77,77,79,81,81,80,79,76,77,85,95,99,94,85,80,88,87,86,85,0
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175,136,115,133,156,152,139,135,144,146,141,133,136,149,148,140,119,120,123,129,152,141,140,151,154,143,138,144,145,143,132,122,125,136,136,127,122,126,132,137,128,138,149,153,143,130,129,135,139,141,136,125,124,137,147,150,132,137,142,144,124,133,141,141,135,131,127,123,123,131,134,125,120,132,152,165,148,151,148,139,131,140,145,139,137,139,142,140,144,143,139,139,147,161,169,173,162,158,146,128,135,148,156,148,137,139,153,165,169,155,146,162,191,209,201,186,173,166,147,123,142,152,158,153,139,132,145,163,152,144,144,167,197,210,199,184,189,179,155,131,156,155,156,155,145,133,135,145,142,151,167,184,193,192,188,185,202,191,166,141,167,139,121,127,131,125,130,146,150,159,169,173,175,178,185,191,192,180,163,154,164,137,121,132,146,148,148,151,146,158,166,166,166,178,190,197,176,169,160,157,149,138,132,139,151,156,156,156,166,179,181,170,165,177,190,192,164,162,162,162,125,135,142,139,134,138,147,154,172,187,190,175,167,175,181,178,165,164,163,163,122,134,142,137,132,137,148,154,152,172,182,177,174,179,178,171,168,165,159,157,148,146,146,150,161,171,173,170,162,174,187,192,191,188,178,170,161,159,155,153,164,156,156,169,185,192,190,186,183,183,189,198,196,183,169,161,153,156,161,164,156,155,162,176,183,183,184,188,181,171,171,183,183,167,151,147,149,158,170,179,172,160,172,191,193,184,176,168,175,168,164,166,161,152,144,145,144,162,175,173,139,138,161,185,183,166,151,138,162,169,176,172,156,144,150,166,165,167,163,152,132,128,144,158,152,146,148,147,159,168,175,169,151,142,152,169,169,159,143,132,139,135,141,144,137,144,167,180,172,167,159,154,150,148,148,149,149,139,127,125,0
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104,90,75,70,80,99,114,120,128,115,120,129,121,112,110,109,116,112,118,129,106,95,85,82,85,96,112,127,142,122,119,126,123,121,125,123,115,118,116,109,103,99,94,92,94,102,117,132,131,105,92,94,93,100,109,109,115,128,129,116,103,106,102,97,108,127,131,124,94,70,56,51,47,55,68,72,81,95,111,119,110,117,107,95,118,149,135,95,66,51,44,38,29,36,51,56,58,62,85,117,112,118,104,93,117,145,114,54,53,48,49,47,38,43,58,62,65,58,73,109,113,113,105,102,119,127,89,36,47,44,49,50,45,50,61,58,57,51,57,76,119,115,113,121,131,121,82,45,46,41,45,47,45,52,55,46,49,52,56,59,130,123,113,126,133,120,89,31,43,56,51,48,58,53,41,49,44,49,55,59,129,128,119,124,119,108,99,65,31,41,52,61,66,55,42,46,42,45,48,46,132,134,128,137,129,122,124,102,47,36,42,54,50,42,43,46,43,56,68,72,153,140,124,132,133,133,144,128,68,41,44,59,47,37,38,34,47,63,85,100,177,155,128,127,121,121,142,142,122,73,47,44,36,43,68,80,115,114,112,113,176,169,160,162,138,118,135,139,151,110,72,58,57,75,108,133,117,107,94,85,147,149,156,173,153,124,130,130,121,126,125,125,124,116,114,125,109,109,111,114,124,111,107,130,129,117,129,130,130,151,149,135,130,118,117,137,129,130,134,133,122,116,119,115,123,128,128,154,132,129,113,136,155,124,112,123,146,161,152,127,92,98,117,124,134,132,119,135,151,145,126,154,186,159,128,113,134,151,159,159,58,61,73,73,83,90,84,103,145,139,111,128,170,171,159,146,159,165,180,196,58,55,55,41,49,64,69,91,109,120,92,93,130,156,178,184,176,163,168,188,1
97,81,86,83,71,92,105,78,98,107,101,89,92,110,119,113,132,122,111,106,128,87,73,77,73,93,113,103,86,93,94,94,102,114,113,104,113,108,102,100,124,113,101,77,75,118,140,112,79,78,83,94,104,109,108,103,98,98,98,99,94,115,122,101,95,131,146,117,88,78,78,87,93,94,97,105,79,82,86,87,87,81,94,117,124,126,136,142,108,97,93,94,88,79,82,95,85,88,92,94,88,77,74,91,119,141,154,159,133,125,120,113,98,81,74,77,96,97,100,102,74,93,85,71,97,143,162,155,157,151,141,131,117,101,86,79,93,89,87,88,63,87,92,83,89,109,132,152,173,165,149,138,132,126,111,97,100,94,87,84,69,82,85,85,93,98,99,107,151,158,159,157,156,154,143,133,109,92,86,98,90,85,75,79,105,116,108,105,130,141,152,160,165,167,160,153,148,133,116,111,101,91,76,85,113,122,110,104,121,120,116,113,125,148,172,185,154,152,144,136,93,94,93,101,112,107,99,103,119,119,115,109,108,118,129,135,144,154,158,151,78,87,97,109,112,96,86,96,113,115,114,110,110,117,125,128,140,137,142,148,70,73,83,104,112,94,80,89,106,107,106,105,109,123,134,138,120,100,94,111,69,70,76,95,102,82,74,91,94,105,117,121,120,109,92,76,97,84,76,80,71,75,82,93,88,66,69,99,85,93,99,102,103,100,86,73,78,92,102,99,94,100,109,110,97,80,74,81,73,81,83,87,100,106,109,117,95,93,92,95,131,142,152,142,117,93,83,83,70,77,75,74,83,90,98,113,111,106,103,106,130,156,172,160,135,118,109,102,95,98,89,76,73,75,86,104,117,109,104,107,107,142,165,160,147,142,133,120,117,121,107,86,74,72,83,105,117,105,97,101,0
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59,73,80,83,83,76,72,83,72,45,45,36,52,51,72,69,70,88,107,112,72,72,71,70,76,90,95,90,57,32,35,29,38,40,77,95,93,100,102,100,80,71,69,70,80,109,112,80,43,26,27,20,21,30,80,112,109,106,101,93,78,72,85,93,100,126,111,52,33,27,27,18,22,52,99,121,95,97,95,92,72,77,105,123,123,129,99,34,23,30,26,21,33,88,121,119,83,89,90,83,72,79,112,138,134,118,81,35,23,31,24,23,33,91,110,95,98,98,92,78,72,76,104,136,135,98,54,29,26,27,18,27,29,75,90,89,113,108,95,80,69,71,94,132,134,80,28,17,24,20,14,37,34,73,94,114,111,104,93,83,74,77,76,99,120,74,22,22,29,24,32,37,42,78,107,103,111,92,80,82,75,75,63,69,91,80,42,25,27,25,26,29,46,81,103,103,106,90,79,83,83,81,63,52,71,90,68,28,20,23,19,26,58,88,101,104,103,92,86,93,87,82,68,54,63,87,76,32,16,27,23,36,78,100,99,103,98,92,92,99,80,69,60,52,53,66,65,46,31,45,48,64,100,111,97,97,84,84,88,96,69,58,47,45,45,47,58,74,59,69,78,92,109,109,94,88,80,84,90,95,57,54,42,40,47,42,54,90,81,81,92,101,98,95,93,84,83,90,97,100,44,52,40,38,50,40,45,86,88,81,93,98,83,82,92,85,86,93,100,102,48,58,60,50,39,43,58,68,69,78,87,90,94,97,99,98,85,87,88,91,55,62,62,53,46,52,65,72,72,80,87,89,92,95,98,98,90,88,88,89,61,63,61,54,53,61,71,74,77,83,88,88,90,93,97,97,91,88,84,82,62,61,55,51,55,65,73,71,81,86,89,86,88,91,95,96,90,85,78,73,1
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98,78,72,76,83,93,100,93,101,141,157,144,139,144,149,156,145,130,119,122,94,85,88,95,93,96,99,97,126,159,170,160,157,159,156,156,174,167,163,165,100,100,112,115,102,100,110,117,137,159,167,167,176,181,173,167,177,180,184,185,112,112,123,123,103,102,125,145,139,150,153,160,179,187,178,170,179,187,195,197,109,107,117,118,102,102,130,154,152,155,150,155,172,177,167,163,181,188,196,199,98,92,103,113,108,106,125,142,156,157,152,157,172,172,165,168,180,187,193,196,103,87,94,113,118,118,127,134,145,151,153,162,173,171,170,182,193,202,209,209,118,95,96,116,126,131,137,138,139,148,155,165,171,166,165,182,190,203,211,209,104,112,124,132,137,137,138,139,136,153,160,163,170,167,161,163,188,203,213,210,105,113,126,137,142,144,146,147,147,155,158,162,172,171,168,176,197,208,215,213,104,114,128,140,147,149,153,155,156,156,151,158,171,173,176,190,206,211,214,212,109,120,134,144,148,150,153,157,157,154,149,156,169,170,180,201,210,210,209,209,120,131,144,151,151,150,153,156,152,155,154,159,169,173,185,210,211,208,206,207,128,139,152,156,155,152,154,157,154,162,160,161,173,183,196,213,213,209,208,211,126,137,151,157,154,151,154,159,161,169,161,157,176,197,206,212,209,207,208,212,119,132,146,153,151,149,153,159,166,172,158,151,177,206,212,209,206,204,207,213,107,125,145,142,148,158,150,163,176,159,163,173,194,213,204,207,212,211,210,212,123,131,141,135,144,159,154,169,175,163,172,182,200,215,204,208,212,210,209,210,126,130,138,133,144,158,152,166,176,169,184,195,207,217,205,209,212,210,208,208,110,120,138,139,148,154,143,156,178,175,193,201,209,216,205,212,214,211,208,207,0
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142,176,191,169,143,133,123,109,122,125,131,136,137,134,126,121,115,116,128,146,184,196,185,151,131,135,139,133,138,132,127,127,131,135,137,136,147,135,129,136,174,167,144,119,123,148,164,163,130,123,116,116,127,139,148,151,164,143,125,124,148,138,120,110,122,143,145,134,114,114,114,119,127,137,146,151,153,139,129,130,115,113,110,117,130,137,124,104,108,112,117,118,121,126,134,141,145,145,148,152,97,98,104,113,121,119,105,91,87,90,93,95,98,108,121,131,146,153,158,158,112,112,113,107,95,81,72,70,67,65,64,69,80,90,100,104,123,136,148,152,104,107,109,101,85,71,73,83,69,63,59,63,74,79,76,70,86,107,133,151,112,120,117,94,71,62,60,61,61,48,46,52,56,64,65,55,59,63,92,125,125,126,113,85,66,62,59,51,53,43,43,46,47,59,71,68,47,49,75,104,105,103,85,60,53,63,64,55,51,44,45,46,43,50,63,63,46,47,67,90,79,79,63,42,41,59,68,61,46,41,47,51,47,50,55,49,43,45,63,81,85,85,73,52,43,51,58,56,47,39,44,50,49,52,54,45,34,39,61,77,93,93,87,72,56,46,47,51,63,51,48,47,42,44,46,37,39,48,71,88,94,91,90,89,75,53,45,51,62,54,53,50,39,38,41,35,52,62,83,96,101,94,96,104,90,60,44,49,36,38,51,55,45,43,48,44,55,63,81,87,81,95,99,103,119,119,90,64,54,40,40,55,56,45,47,62,69,73,80,87,56,69,73,80,103,120,112,98,87,64,49,48,43,34,42,62,86,89,96,103,58,64,62,62,80,107,117,113,116,91,68,59,49,41,54,77,86,88,94,102,78,76,71,62,65,91,110,108,115,96,82,78,70,63,74,93,98,99,104,111,1
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155,184,188,157,172,157,168,191,183,164,157,159,179,186,170,178,153,138,150,155,160,182,177,157,167,164,184,221,200,172,158,156,172,170,144,148,177,159,170,169,165,177,164,158,153,153,164,208,171,167,177,177,173,162,153,182,190,159,162,165,138,149,144,169,164,167,167,205,195,171,168,180,203,201,176,185,180,134,129,146,147,153,155,189,183,181,172,196,154,142,147,164,197,219,220,242,183,139,138,159,170,169,174,190,177,162,156,168,160,175,186,162,145,154,179,229,209,182,190,200,151,155,176,177,163,142,153,164,168,179,181,155,153,171,179,203,217,197,206,204,155,165,196,181,159,126,142,148,160,191,209,182,169,180,183,202,197,173,175,170,153,170,190,148,141,146,148,141,163,212,210,183,158,206,213,195,210,158,138,175,177,163,188,182,173,134,124,141,161,191,212,194,165,211,224,177,172,160,161,194,164,169,196,175,172,157,147,144,164,167,201,192,172,204,226,167,138,161,169,188,157,174,190,146,152,171,175,158,174,158,181,172,172,178,198,166,151,186,186,191,188,161,165,145,152,146,157,176,181,171,171,161,174,147,150,161,167,203,197,194,183,149,152,143,155,144,153,177,182,192,184,170,172,131,121,155,184,207,198,187,143,145,157,129,150,176,184,173,177,207,209,191,157,138,138,166,208,205,192,190,126,139,156,125,153,191,200,180,175,212,225,205,141,152,172,184,200,174,161,182,144,155,151,155,199,199,163,178,165,173,224,203,141,124,175,174,168,140,161,183,160,174,183,187,210,205,170,178,140,142,191,195,165,135,152,144,154,141,168,178,165,174,193,189,186,180,157,157,128,128,164,186,196,157,143,132,120,121,156,162,167,164,182,166,145,147,139,133,129,139,155,169,205,175,150,143,135,135,178,197,0
176,180,185,184,179,181,195,210,208,188,158,142,151,172,179,173,164,165,173,183,186,186,185,181,177,180,191,201,222,214,192,166,153,157,168,174,168,164,166,176,187,186,183,180,179,183,191,196,214,222,216,187,157,148,164,183,186,176,171,179,187,190,190,186,183,186,190,191,211,223,226,203,169,152,165,187,189,182,178,184,184,192,198,194,190,192,192,191,208,210,209,195,167,142,142,154,167,171,179,188,167,178,186,188,193,202,203,199,201,192,188,185,167,141,129,132,143,157,179,193,159,163,164,168,181,196,194,181,176,167,164,168,156,131,116,116,104,128,162,185,173,166,155,151,163,176,165,144,125,114,113,119,105,76,60,62,56,86,129,165,194,164,136,109,134,120,109,92,83,80,68,65,71,61,45,41,41,30,67,137,201,171,143,107,102,68,58,52,61,59,53,58,71,75,75,81,53,32,51,105,207,169,135,108,104,82,72,63,57,52,49,53,60,67,77,88,65,40,45,87,212,187,155,118,94,80,72,56,65,57,59,61,52,48,54,60,57,48,57,98,187,206,204,150,77,60,62,56,58,51,64,72,55,41,44,42,37,52,78,124,166,200,211,164,75,61,69,66,65,55,74,89,68,53,58,54,52,79,107,149,190,201,200,159,63,50,68,82,111,92,108,122,101,93,104,103,111,129,134,154,213,215,211,174,63,52,104,159,162,135,147,159,140,139,161,163,162,166,144,141,206,211,196,156,87,99,131,153,122,124,143,184,184,146,136,144,150,151,145,133,216,205,181,152,102,117,126,122,126,131,154,193,197,169,155,157,146,147,143,133,218,199,169,146,106,123,126,114,142,149,172,198,201,179,153,144,138,141,141,136,207,196,171,141,92,112,133,139,154,161,185,198,200,183,146,126,131,135,140,142,1
135,156,152,154,137,144,150,179,186,179,171,163,157,159,165,173,170,156,137,127,136,151,149,154,131,128,135,170,183,174,165,160,161,166,174,182,172,159,145,140,141,145,148,167,141,131,137,175,191,180,170,167,170,174,183,193,184,169,158,159,160,147,153,193,173,157,153,183,202,193,187,187,185,185,195,208,208,187,168,164,184,151,157,216,213,196,178,189,204,200,198,197,189,183,193,210,224,202,176,162,187,138,144,223,237,231,205,196,192,183,178,172,158,144,148,164,204,205,199,186,176,116,117,200,223,223,191,167,141,124,111,108,99,86,90,104,147,190,225,225,172,103,95,168,186,184,144,110,78,55,41,47,52,53,62,76,95,170,235,246,167,100,82,113,132,135,108,59,43,46,41,47,59,49,46,71,87,161,191,247,155,93,95,142,132,86,56,41,42,45,44,48,52,45,45,57,77,128,174,226,119,91,122,167,132,61,34,38,35,35,45,48,44,47,53,53,64,98,157,206,95,113,154,163,117,66,44,38,27,27,40,45,37,52,70,64,61,94,145,210,116,145,164,142,96,63,42,26,31,28,39,41,33,50,72,71,71,108,126,197,152,159,154,127,87,53,37,31,39,37,41,39,35,45,66,76,90,120,103,152,162,162,144,113,83,53,40,42,36,38,39,42,48,51,66,92,110,125,110,128,153,164,143,100,70,51,38,35,27,34,35,45,63,63,75,112,121,130,137,143,177,177,151,104,66,53,45,37,40,48,47,54,60,86,129,135,123,140,179,174,192,195,174,130,93,78,65,53,43,53,52,62,70,100,152,165,148,163,192,172,212,221,206,167,136,121,104,86,69,81,84,90,88,105,149,161,150,166,183,146,221,231,222,189,163,154,136,114,91,110,120,125,107,101,127,130,156,174,186,140,1
198,210,177,120,91,80,86,106,103,125,112,113,100,112,91,86,84,84,84,83,204,185,140,98,80,76,83,96,119,134,112,93,65,66,48,49,60,61,63,65,189,138,92,79,78,84,91,94,111,119,92,64,38,33,25,33,38,40,42,44,163,102,74,88,95,96,97,89,86,83,57,38,31,30,25,30,30,31,31,33,132,93,93,120,120,104,92,77,75,60,36,27,40,35,22,17,28,28,27,28,91,96,121,142,131,105,86,77,77,53,35,31,56,43,27,16,22,22,24,25,71,113,145,143,121,88,69,72,65,46,38,33,57,38,33,30,21,23,25,26,80,139,165,139,103,66,45,52,52,38,36,26,45,22,26,33,26,27,29,30,102,154,148,98,70,46,23,24,31,28,19,18,24,22,23,36,35,34,33,33,102,122,103,62,39,23,13,19,31,30,22,20,23,18,17,30,28,28,30,32,93,75,49,31,21,16,18,24,27,32,28,24,24,17,17,29,29,31,35,37,102,54,26,28,28,23,25,28,22,33,34,28,26,19,21,33,32,36,42,46,121,64,28,31,32,24,20,21,22,35,36,28,25,20,21,34,31,38,47,55,116,69,26,21,27,21,18,25,26,38,36,27,24,22,25,36,39,49,63,72,93,70,30,14,25,24,19,30,28,38,35,25,28,33,38,49,57,68,83,93,81,79,43,20,31,27,13,26,26,38,34,26,34,45,54,65,70,81,96,104,82,63,43,23,31,40,24,33,53,44,36,44,54,58,64,72,76,99,100,86,82,81,74,47,44,48,32,39,50,53,59,70,73,68,69,78,101,114,115,107,103,127,135,98,81,82,63,64,59,71,84,93,87,77,80,93,113,115,121,131,120,163,178,135,110,113,93,86,75,84,94,98,90,82,91,109,117,107,120,147,1
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173,178,169,170,175,139,86,65,73,94,148,148,161,178,142,152,172,145,146,163,196,186,166,153,147,122,83,60,47,69,113,129,159,182,162,169,178,161,154,157,205,189,169,149,129,115,92,63,50,64,79,102,138,157,154,154,167,166,150,136,188,181,181,164,135,122,107,76,73,73,57,72,103,117,128,131,145,156,138,115,169,174,189,177,140,121,109,86,79,70,44,51,76,94,121,139,133,148,134,114,168,177,186,172,134,106,95,89,76,64,50,48,63,83,115,156,137,141,134,124,176,180,177,162,135,99,84,95,77,67,76,60,56,70,90,151,147,134,130,132,179,180,169,159,144,105,86,104,75,69,95,70,54,59,68,138,160,133,132,140,165,152,166,153,125,80,88,100,79,82,99,90,73,65,62,83,112,130,151,160,152,145,161,144,116,72,76,80,87,92,110,98,81,74,65,78,90,112,140,158,142,142,161,142,116,78,80,75,84,96,120,114,101,93,74,73,85,105,133,152,152,155,169,142,116,85,87,76,60,77,110,114,112,107,78,66,97,110,129,144,172,170,176,139,112,84,90,79,47,56,85,95,101,103,76,66,97,107,125,142,178,169,170,136,114,94,109,106,72,61,73,80,91,97,78,78,94,106,130,155,178,164,163,135,119,104,127,133,104,77,76,82,94,96,80,87,96,107,133,161,185,166,162,134,117,99,123,132,115,81,77,88,100,95,76,83,104,109,128,152,189,164,153,147,105,97,120,115,107,85,76,89,98,91,82,82,93,113,138,153,195,166,155,145,106,96,113,105,105,92,91,103,107,97,91,94,109,128,150,162,197,160,155,141,109,98,110,98,103,96,97,106,107,102,108,121,133,149,165,171,193,149,152,135,114,104,113,99,102,92,89,94,100,107,126,147,152,166,176,172,1
137,133,125,118,112,107,106,105,102,103,103,100,95,93,91,91,87,87,86,86,137,133,125,118,112,108,107,107,104,103,102,100,98,95,91,88,89,89,89,89,139,134,126,118,112,108,107,108,104,102,101,102,102,99,92,86,90,91,91,91,141,136,127,119,112,107,106,105,102,99,98,101,105,103,96,88,92,92,93,93,140,136,128,120,113,107,103,102,98,96,98,102,107,107,100,93,97,97,98,98,137,134,127,121,114,108,104,100,97,97,98,101,106,106,102,98,103,104,104,104,127,126,124,121,116,110,105,102,100,101,101,103,104,103,101,100,105,105,105,105,121,121,122,121,117,113,108,104,102,104,105,104,102,100,100,100,104,103,103,102,114,116,119,123,125,122,117,112,107,109,111,109,105,102,101,103,104,101,99,98,112,113,117,121,124,123,119,116,110,110,110,107,105,102,102,103,103,101,98,98,114,115,117,121,124,124,122,120,114,111,107,104,103,103,103,103,103,100,98,98,123,123,123,124,126,126,123,121,117,112,106,103,103,104,104,102,101,99,97,96,135,133,131,130,128,126,123,120,118,113,108,106,106,106,104,101,98,96,94,94,139,137,134,132,130,127,122,119,118,117,115,114,112,110,105,102,98,96,94,94,132,131,130,130,129,127,122,119,119,122,125,124,121,115,109,106,99,97,95,96,124,123,124,126,128,127,123,121,120,126,132,133,127,118,113,109,101,99,97,98,130,129,130,129,129,128,127,128,129,132,135,136,134,128,121,118,112,107,102,101,135,134,134,133,132,131,131,130,131,134,135,136,133,128,123,120,117,113,109,107,146,146,144,143,140,138,137,136,135,136,136,136,133,130,126,124,126,124,120,120,158,156,154,152,148,145,143,142,138,139,138,136,133,130,128,126,134,132,131,130,0
155,166,164,139,113,111,129,145,134,133,126,109,103,117,115,89,113,116,126,139,144,155,157,144,127,120,121,123,128,128,131,129,131,145,146,126,129,129,134,141,115,125,134,138,140,140,137,131,122,118,124,127,127,133,131,116,134,130,130,133,100,104,111,121,131,138,141,140,148,137,138,145,142,142,143,136,129,125,125,127,100,103,109,113,115,117,121,125,136,123,124,133,135,140,150,150,129,127,130,135,85,95,111,122,122,118,120,126,120,109,107,110,108,113,122,121,127,127,132,140,80,94,117,133,132,123,121,126,129,124,126,125,118,122,124,115,115,115,120,127,100,110,125,134,125,107,97,97,92,97,109,114,114,122,125,113,106,105,107,113,113,123,138,128,91,65,56,51,53,60,67,73,80,94,114,128,115,110,110,114,120,136,128,91,58,47,40,33,25,35,53,64,60,62,93,129,132,126,123,125,124,146,117,62,47,55,49,41,32,37,54,65,55,46,73,114,129,121,114,112,112,129,87,36,41,55,46,42,53,48,51,60,60,54,64,81,94,89,87,90,126,123,74,33,42,48,38,44,46,47,45,44,50,56,56,51,63,67,79,95,139,124,82,48,45,43,44,60,46,55,55,43,38,47,49,44,57,63,79,100,125,118,97,64,38,31,42,58,58,61,56,47,41,44,51,55,60,61,70,82,126,135,132,97,50,35,46,54,58,43,33,36,45,49,57,68,58,54,54,59,133,126,143,125,78,45,36,55,48,43,41,51,64,77,92,102,65,77,80,55,121,119,150,153,120,81,47,42,56,56,62,75,88,99,111,122,89,93,83,45,139,121,139,147,135,115,83,73,50,77,117,145,146,122,96,83,129,132,121,82,160,125,122,122,125,131,121,119,125,125,122,115,103,97,106,119,133,141,139,109,1
114,125,138,148,154,154,150,145,164,149,128,131,151,152,133,122,118,128,140,112,113,129,149,160,156,150,160,177,189,165,133,129,150,155,142,133,128,111,125,128,127,130,141,153,157,152,156,168,182,171,150,143,151,147,142,148,142,97,111,147,120,124,130,132,134,140,144,145,160,163,151,129,109,98,114,146,147,97,111,158,100,125,133,113,101,115,137,147,148,139,111,73,45,40,75,127,141,107,119,156,127,134,124,102,95,110,119,117,108,91,62,40,33,34,59,100,122,113,119,142,152,128,107,106,115,110,83,59,53,46,38,41,49,47,57,83,104,111,105,121,132,108,104,125,129,95,52,30,32,33,32,39,42,36,48,79,95,106,91,106,128,121,123,137,125,72,34,35,28,36,41,31,40,42,38,69,87,141,91,111,125,117,120,122,96,55,36,39,41,41,40,37,51,50,35,56,105,151,101,117,119,116,128,118,73,46,48,49,39,49,59,53,51,39,29,64,136,171,126,131,109,113,135,118,63,44,58,54,44,58,70,60,52,40,37,80,155,180,148,150,103,108,125,104,48,38,56,52,66,65,62,50,58,57,48,77,146,163,151,156,109,109,111,88,48,44,61,62,75,88,87,59,52,50,46,75,132,139,139,139,112,112,105,89,75,73,79,84,104,142,152,102,67,54,52,85,124,121,126,120,105,107,101,98,103,100,94,99,157,194,200,145,107,91,74,90,120,112,122,115,92,92,84,104,109,104,109,108,151,168,174,162,143,132,127,122,113,95,107,130,89,89,81,96,101,98,116,123,147,131,115,125,157,180,169,144,126,106,110,127,81,84,84,97,106,101,126,135,131,117,104,117,155,188,185,166,169,145,133,133,75,81,93,110,128,114,133,134,118,123,126,134,151,171,175,168,201,176,150,137,1
128,124,123,125,128,127,124,123,129,126,130,136,132,112,90,78,73,62,57,59,112,109,109,114,120,124,124,126,128,124,126,132,130,114,94,82,79,67,59,60,98,92,93,100,110,117,126,134,128,121,122,128,131,120,103,90,85,71,60,58,84,75,70,77,88,100,115,131,129,123,121,126,132,128,115,103,93,79,65,60,69,54,45,50,57,70,92,113,125,121,119,123,129,130,120,110,101,90,75,68,57,41,31,35,42,51,73,97,118,118,117,118,123,125,120,112,100,94,84,73,47,33,26,33,39,44,65,89,113,117,119,118,119,122,120,114,101,100,92,81,34,22,20,32,38,40,57,80,112,119,122,119,119,121,120,116,109,111,106,95,29,27,28,32,37,45,61,76,104,119,128,123,119,121,121,118,111,110,109,106,34,32,32,35,39,48,63,77,97,114,125,124,122,122,122,118,111,111,111,109,42,39,38,40,42,51,65,79,90,107,121,123,122,125,122,118,111,110,112,112,51,48,45,46,47,54,67,81,88,103,117,119,120,123,122,117,111,111,110,111,60,56,53,53,54,57,68,80,91,104,113,114,116,121,121,116,111,108,104,102,65,62,60,61,59,60,68,77,91,104,112,112,113,120,121,115,107,101,92,89,68,66,65,66,64,63,67,75,88,100,111,112,116,122,121,114,99,91,79,72,70,68,69,69,66,63,67,73,85,98,110,114,120,125,122,112,93,83,70,62,78,74,75,73,65,56,63,76,92,98,106,113,119,118,109,99,83,71,60,59,79,76,78,77,70,61,66,79,94,101,108,114,119,118,109,98,80,67,57,56,79,78,81,82,76,66,71,83,97,105,112,116,120,119,109,96,76,63,53,51,78,78,83,85,80,70,73,85,101,109,116,117,120,120,109,95,72,61,50,50,0
122,121,118,113,111,118,128,135,111,102,112,114,93,92,108,109,65,49,52,52,123,111,108,108,109,121,124,107,78,71,84,100,97,102,111,105,71,51,50,56,127,115,125,128,120,136,140,109,53,44,54,75,88,103,112,108,80,52,41,49,120,122,149,150,120,131,146,116,51,42,40,49,61,80,102,113,99,65,42,42,117,117,147,148,111,113,118,86,49,48,40,35,37,50,78,107,122,94,62,49,141,126,139,149,131,121,97,52,37,46,42,32,30,32,52,84,120,111,84,62,144,124,127,152,157,137,90,42,31,42,37,31,35,31,36,59,91,111,101,78,112,99,106,140,159,132,77,37,38,43,31,27,41,36,31,47,66,107,113,92,104,118,123,129,134,114,73,49,41,34,34,43,45,40,41,50,65,81,93,91,119,140,141,138,137,107,62,42,40,34,34,43,45,39,36,41,45,57,74,89,116,142,141,136,143,111,64,52,48,43,43,49,50,43,41,44,39,50,77,106,108,127,117,115,138,114,67,55,47,43,40,40,38,35,42,49,35,54,86,114,125,125,104,102,127,114,67,45,54,50,44,38,34,39,52,66,58,80,102,110,149,136,117,117,133,128,93,63,62,56,45,39,41,50,64,73,90,100,100,86,152,139,139,145,141,141,126,97,76,64,52,51,62,74,75,72,87,83,74,64,143,133,150,157,135,135,135,111,119,105,92,96,116,127,116,99,84,75,74,84,160,146,153,141,142,172,159,124,129,125,125,132,140,138,120,101,91,93,96,98,164,151,162,154,148,171,163,138,160,149,140,130,119,109,97,84,86,86,86,85,158,142,158,155,144,157,153,142,152,142,137,124,100,84,76,67,72,69,65,60,151,128,144,149,138,143,140,136,122,116,127,127,101,80,69,52,63,58,50,44,1
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124,95,87,81,61,60,71,68,76,100,110,95,84,84,74,56,55,45,58,82,115,108,113,108,84,78,82,76,67,78,79,69,67,71,64,50,52,54,72,84,96,114,134,125,93,78,75,64,53,49,41,39,47,56,55,48,48,60,77,79,91,124,143,119,81,59,49,38,43,30,23,28,39,49,54,58,64,68,80,84,110,140,142,104,63,41,30,23,35,28,23,31,42,50,61,72,90,78,83,96,124,139,121,76,45,31,22,21,30,28,30,36,43,53,66,78,87,70,76,96,114,113,78,39,29,25,19,25,25,26,28,29,36,51,65,71,68,65,80,97,98,88,47,17,22,25,21,30,22,24,21,19,30,48,60,62,63,77,101,110,87,50,30,29,27,24,23,20,21,18,26,34,35,45,62,67,56,76,95,100,78,43,25,26,24,23,25,23,24,23,29,30,31,47,66,70,76,88,97,94,68,39,26,30,25,21,24,23,25,30,34,27,26,50,74,74,87,93,95,90,62,40,34,40,31,22,21,20,25,34,36,23,23,55,79,76,86,88,87,84,49,37,42,51,38,23,19,18,24,34,36,23,25,61,84,76,85,86,84,78,37,31,44,55,41,23,19,20,24,31,34,27,35,69,87,77,83,85,85,81,37,35,49,59,42,23,21,24,27,27,33,35,48,78,91,78,81,86,89,85,45,43,56,63,42,21,21,27,28,25,32,41,57,83,93,79,85,89,91,85,43,44,56,58,37,24,26,28,25,26,36,57,76,83,79,72,82,82,82,82,41,40,53,58,39,24,23,22,19,33,54,75,82,80,73,69,81,81,80,81,57,52,62,67,50,32,26,22,22,46,73,84,76,65,62,64,66,66,64,63,82,69,72,75,58,37,27,22,35,59,79,76,59,49,52,59,51,50,47,45,1
131,137,153,146,151,120,128,143,155,134,133,154,170,177,179,173,206,219,217,207,147,153,156,138,134,136,148,145,155,147,138,145,164,176,177,173,206,219,217,208,149,141,139,140,125,145,159,154,155,159,142,137,163,177,173,175,207,222,220,210,148,124,128,160,133,142,153,160,158,160,140,140,173,177,165,179,205,221,221,213,149,135,145,172,137,143,154,161,158,150,135,154,187,175,158,182,197,215,218,210,130,148,161,153,129,152,169,162,153,140,139,170,193,169,158,184,190,209,212,205,120,150,164,136,131,147,165,153,143,140,155,182,184,162,162,184,189,209,212,204,134,156,170,142,147,133,140,137,135,143,171,188,172,157,167,183,193,213,216,206,152,148,145,147,142,136,141,152,140,147,169,178,166,162,170,173,195,202,207,205,144,150,152,152,149,139,141,159,140,149,167,174,170,173,183,184,193,202,205,198,135,149,149,149,153,140,138,162,151,163,173,174,177,186,193,191,191,204,209,198,146,153,144,145,158,147,139,158,161,174,176,173,181,191,189,185,182,199,206,195,176,165,146,146,162,156,146,153,158,173,171,170,185,191,184,183,184,191,188,175,184,160,144,146,151,152,151,149,160,174,170,175,197,198,188,198,206,192,168,146,160,136,141,148,135,141,161,160,176,186,176,182,204,196,187,208,210,182,150,132,135,117,141,155,128,139,177,181,191,194,178,181,199,184,172,200,185,157,133,131,132,123,160,147,125,166,182,168,186,178,185,194,190,187,185,177,153,135,124,130,140,136,161,142,129,164,174,163,186,184,190,197,194,189,176,160,144,132,127,136,153,156,162,142,144,173,175,169,187,192,196,198,199,191,165,137,137,133,135,146,155,167,156,137,156,182,181,178,188,199,199,196,203,194,157,122,139,140,146,156,0
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129,137,162,169,181,202,203,212,223,213,201,193,186,173,155,140,123,123,123,123,173,188,214,208,202,210,214,230,212,206,199,195,191,183,170,160,153,150,144,139,171,181,205,200,195,205,205,218,199,198,198,198,198,195,190,186,188,182,173,164,170,165,177,183,200,220,210,208,190,192,196,198,200,201,202,203,206,201,195,189,180,167,172,177,199,220,205,195,185,188,193,195,197,199,203,206,211,210,207,206,159,155,166,164,174,189,180,180,182,184,187,188,192,195,199,202,209,208,208,208,149,152,167,164,166,180,176,183,179,179,179,182,187,193,197,199,203,203,202,202,157,155,166,162,168,180,173,177,176,175,175,179,185,192,196,197,198,197,195,194,168,165,163,162,160,160,167,177,172,168,170,179,185,186,189,194,198,194,189,184,167,164,162,161,159,158,165,175,172,167,169,176,181,182,184,189,185,183,179,175,166,163,161,161,158,157,163,172,174,170,169,173,176,178,180,183,180,179,177,176,167,164,162,161,158,156,162,170,177,173,171,171,173,175,176,177,177,177,177,178,169,167,165,164,160,158,163,171,176,174,170,168,169,172,172,171,172,173,173,174,175,172,171,170,165,161,166,173,174,173,168,164,165,169,171,168,173,173,173,172,179,177,176,175,170,166,170,177,174,175,170,165,166,172,174,171,178,177,175,173,182,180,179,178,173,169,172,179,178,179,174,168,170,178,180,176,177,175,172,169,186,186,186,184,183,182,179,177,172,175,177,175,170,169,173,177,179,172,162,155,188,188,187,186,184,183,180,178,171,172,172,170,168,168,170,172,171,167,162,160,189,189,188,187,185,184,181,179,170,168,165,165,165,166,166,166,175,174,173,174,188,188,188,186,185,183,181,179,172,166,161,161,164,166,165,162,167,165,163,162,0
171,171,163,157,170,185,177,154,151,165,150,128,137,162,172,171,171,177,169,151,157,163,163,160,163,171,171,161,146,158,157,150,152,152,157,168,171,176,172,161,141,153,164,166,160,157,163,170,148,150,155,161,156,139,144,173,162,164,166,165,123,137,158,169,160,150,157,173,160,155,150,150,144,131,145,182,173,173,177,184,101,114,138,159,158,149,154,168,175,170,154,142,138,136,150,177,183,181,183,188,93,101,122,144,152,150,153,161,179,181,169,154,151,149,150,161,179,179,178,175,112,118,129,141,149,152,155,158,168,176,175,172,168,154,145,152,183,189,188,179,141,144,146,147,150,155,158,158,156,165,172,180,176,153,142,154,171,182,183,173,137,154,169,167,152,143,148,158,154,169,167,168,160,150,161,159,154,152,156,164,139,151,163,162,149,139,137,140,160,176,176,180,170,155,161,155,148,145,147,154,151,154,157,156,151,143,138,135,155,180,196,212,202,173,160,142,141,135,133,136,166,162,159,159,160,158,150,143,140,165,183,204,195,165,151,132,145,138,131,128,167,164,162,166,171,166,152,138,126,135,134,145,141,126,132,131,158,153,145,140,155,155,159,167,169,159,137,121,115,118,111,122,120,110,124,128,159,161,159,154,146,146,148,152,152,145,130,120,115,121,119,135,133,119,126,126,152,161,165,162,146,142,137,134,134,135,134,134,125,126,118,131,129,116,126,131,150,162,171,168,147,143,157,145,131,136,134,135,146,125,140,139,125,131,129,127,141,150,158,157,148,141,154,144,134,143,141,142,163,145,161,161,146,142,128,119,130,144,158,164,147,136,146,138,135,149,147,146,151,136,152,155,151,151,135,128,137,149,161,165,145,130,137,130,132,149,146,143,129,115,124,129,139,149,141,145,163,166,164,157,0
96,96,119,121,99,107,118,98,113,108,114,128,134,130,132,138,150,134,127,136,110,116,131,133,118,115,115,104,116,112,114,121,120,114,120,131,146,130,120,124,103,113,120,123,120,104,93,96,118,115,115,115,110,105,114,129,136,122,112,114,108,122,121,123,132,111,95,112,119,115,115,116,115,115,121,131,141,134,131,135,120,135,125,123,138,120,104,129,121,117,118,124,128,129,128,129,135,135,140,147,123,136,122,114,128,116,104,124,126,124,126,133,141,141,134,127,127,132,138,143,129,139,128,117,124,121,114,124,128,132,137,145,149,149,142,135,141,145,149,149,118,129,122,110,113,117,114,114,128,136,146,152,155,156,152,147,137,141,142,137,130,130,132,133,126,115,110,111,123,135,145,157,171,167,159,161,134,127,121,120,139,140,143,141,131,119,114,117,129,136,142,156,177,182,178,180,169,159,150,148,120,124,133,137,134,126,125,129,138,137,130,136,157,168,169,173,177,164,152,148,126,130,140,152,156,152,147,148,137,136,124,120,135,149,155,162,164,151,138,135,149,145,148,157,161,152,138,129,121,132,131,129,141,151,157,163,159,149,141,142,153,146,142,147,147,137,122,113,110,131,141,141,148,150,146,147,148,145,148,154,150,145,141,143,143,138,136,137,126,143,145,138,142,142,133,130,134,140,153,167,135,133,131,130,128,128,137,148,152,159,147,134,140,147,144,142,134,146,166,184,142,138,119,120,125,128,150,152,148,156,158,148,139,138,142,146,144,152,161,168,147,151,137,135,128,120,136,137,144,154,158,147,134,133,142,150,140,145,151,154,143,156,152,150,135,118,129,130,136,148,152,139,125,125,138,150,154,156,157,157,131,148,150,154,142,125,134,134,130,138,139,127,116,119,133,144,147,147,146,146,0
132,140,133,138,163,167,159,166,185,163,157,156,147,155,159,141,145,150,152,146,120,131,135,135,138,132,128,132,139,132,151,170,161,151,147,136,154,153,146,137,103,110,122,122,109,110,123,131,147,129,127,130,120,123,151,176,155,148,138,131,105,106,128,139,128,134,150,147,142,133,127,121,115,123,146,166,142,133,126,127,123,121,144,165,164,165,160,138,126,137,135,126,132,145,145,138,142,128,118,120,128,120,125,140,151,155,145,127,129,139,123,109,132,159,154,136,155,136,121,122,115,115,111,119,138,142,133,128,122,128,112,109,142,160,138,116,149,134,127,133,105,126,135,147,166,154,130,127,139,130,99,95,130,143,124,113,120,114,121,140,128,153,162,154,145,130,109,99,116,119,119,111,110,129,133,113,105,77,98,135,173,170,160,152,141,116,105,117,119,123,131,133,133,141,133,108,81,69,88,114,166,150,140,146,142,114,107,131,127,126,137,148,148,145,129,103,88,92,101,105,133,128,120,124,131,123,124,141,134,125,132,143,142,136,122,100,89,99,96,85,129,137,123,105,113,132,142,147,133,125,130,138,135,129,116,97,85,92,84,73,113,133,131,118,124,137,137,134,127,127,136,140,134,129,116,92,95,92,88,86,95,108,125,145,149,129,115,124,121,128,138,135,126,126,116,92,94,84,94,104,109,99,115,154,155,110,97,131,118,128,134,123,112,118,116,94,98,86,111,135,112,132,132,158,164,133,128,123,137,132,114,113,109,87,85,96,96,105,125,148,136,144,133,149,154,132,138,143,141,133,111,101,92,76,83,104,107,115,132,151,146,145,128,136,140,124,134,149,137,127,109,95,86,75,84,113,125,130,141,153,142,136,127,133,136,120,121,139,128,117,109,98,95,89,89,117,142,145,149,152,0
142,153,169,175,160,136,120,118,125,135,128,110,107,103,92,83,79,83,73,61,163,169,179,184,173,148,127,118,127,134,126,119,124,119,101,92,62,73,71,68,170,174,182,184,174,150,127,114,113,112,108,114,125,117,100,97,71,83,82,78,153,162,171,167,148,124,108,102,93,87,83,94,106,98,91,101,88,95,83,67,138,153,161,143,109,83,78,83,85,77,70,76,85,80,86,109,105,110,94,72,134,149,149,119,77,54,57,67,78,73,63,62,67,65,78,105,101,112,102,83,127,132,122,92,62,51,60,69,72,68,55,51,56,57,65,85,86,101,94,77,115,111,95,71,58,62,72,78,70,66,53,48,55,57,59,68,101,114,105,84,87,80,69,58,51,55,67,80,61,65,61,50,46,52,58,60,85,116,128,117,69,73,68,58,55,59,62,60,52,55,55,49,49,56,60,60,83,124,151,153,53,69,71,54,48,57,57,44,40,43,45,47,51,58,59,56,72,119,155,164,62,89,94,66,46,53,59,51,41,41,43,47,53,57,57,54,60,104,134,138,89,123,135,102,65,56,62,63,49,45,43,46,52,54,56,57,64,101,123,121,111,138,156,138,99,67,59,62,53,46,40,41,45,52,61,69,92,124,139,135,124,132,150,157,134,92,70,69,65,56,47,49,55,68,88,106,129,153,159,151,138,125,137,164,160,119,91,89,84,74,66,68,77,95,124,148,154,169,165,151,133,139,145,157,163,144,127,129,106,94,92,96,103,124,145,149,142,155,159,160,129,132,135,146,158,155,156,171,145,134,133,136,136,146,156,154,144,155,156,152,125,129,128,131,141,143,153,176,170,163,166,167,161,159,159,150,144,155,152,143,120,126,125,123,126,124,133,154,167,165,172,175,167,161,156,145,142,154,149,138,1
140,159,160,152,195,173,161,172,148,156,136,91,74,105,147,166,140,118,119,131,136,138,135,145,182,176,173,190,179,177,145,92,67,92,130,149,134,118,113,116,181,176,172,184,179,174,171,190,196,180,136,80,53,70,98,115,121,120,117,115,212,224,231,229,175,168,166,172,178,153,108,63,47,59,77,86,106,125,129,130,196,223,237,223,165,176,172,154,133,108,75,54,53,64,76,80,86,113,115,119,196,218,224,199,170,188,172,124,80,62,46,45,53,62,74,83,100,123,114,122,190,204,209,181,174,171,141,79,43,34,31,36,40,46,65,87,130,150,138,159,142,163,183,159,163,138,102,46,31,29,32,36,32,32,58,92,108,129,123,159,125,131,142,153,154,130,81,42,34,53,34,34,34,34,73,93,103,78,91,171,128,120,120,137,154,138,87,41,26,40,26,34,44,48,83,107,100,78,89,162,122,109,105,119,131,116,74,36,34,38,26,39,53,52,79,103,99,81,89,148,112,105,103,104,97,75,52,40,47,43,36,47,61,58,72,95,100,89,93,133,102,94,90,86,71,51,43,50,51,49,52,60,73,74,78,103,104,101,103,124,98,75,60,61,58,47,45,55,63,68,80,77,82,86,84,106,118,122,124,131,108,75,52,51,50,43,47,61,73,86,105,89,85,89,82,104,138,150,154,151,125,94,69,61,52,39,49,71,68,89,114,92,84,93,85,106,157,173,178,171,170,136,96,77,71,67,59,54,61,83,98,83,96,82,105,137,158,191,205,196,169,146,115,96,93,89,77,63,49,73,98,93,102,86,117,160,165,200,216,208,190,183,165,146,144,145,126,99,62,81,112,111,108,78,111,161,158,196,215,210,213,219,208,189,187,191,168,131,86,91,122,126,112,69,98,147,145,185,208,206,1
103,97,87,83,81,80,76,73,70,76,68,53,57,75,79,67,70,76,81,82,95,91,84,78,75,73,68,66,68,74,67,52,53,73,91,98,89,94,98,99,73,70,66,64,60,60,59,58,57,64,62,51,46,60,87,106,107,109,112,114,55,55,53,53,56,58,63,65,73,80,84,78,68,70,88,106,113,113,115,119,65,63,61,62,66,71,78,82,88,91,91,86,78,76,83,92,112,110,113,119,81,77,73,74,78,83,83,83,86,83,75,65,63,68,73,74,103,99,103,114,88,83,79,81,86,86,78,70,81,83,72,57,59,72,77,71,81,77,82,96,89,84,82,88,94,91,77,65,62,70,65,49,51,66,68,55,59,54,61,78,95,96,93,86,82,77,64,50,45,42,45,57,67,64,54,47,48,50,60,72,93,91,80,66,60,62,61,60,41,40,46,55,60,56,52,50,61,58,62,72,80,79,71,60,52,49,46,45,39,42,49,54,54,49,49,53,67,64,64,73,81,74,64,55,48,42,37,32,44,46,51,55,53,49,49,53,58,63,72,82,96,74,49,38,39,43,43,41,43,43,46,52,52,48,46,49,48,67,90,105,86,63,41,38,47,51,46,42,37,36,39,45,46,45,46,51,57,84,114,128,67,50,38,43,51,50,41,34,34,36,40,44,44,46,57,70,86,110,132,141,68,49,32,31,37,38,38,41,36,42,47,48,46,51,71,92,113,128,139,140,52,34,30,38,42,48,51,48,43,43,44,41,43,60,86,106,123,130,134,135,56,36,31,38,41,45,51,49,47,49,52,55,63,79,101,117,130,137,142,142,62,39,31,36,37,41,49,50,57,60,68,77,88,101,115,123,127,133,137,137,68,42,32,36,34,38,48,52,68,72,82,93,105,113,116,119,119,125,128,127,1
208,217,213,200,200,213,215,206,206,191,188,160,122,96,90,117,117,122,130,139,202,208,209,205,207,210,203,191,201,190,188,159,121,96,81,97,112,118,124,129,202,200,200,204,207,205,195,188,187,181,180,146,110,87,68,74,114,118,120,116,203,195,194,199,201,196,194,199,172,168,163,124,88,77,65,73,127,128,125,119,199,192,190,196,194,187,190,201,167,157,144,103,75,75,78,95,111,109,108,107,184,180,181,185,185,179,179,186,167,145,126,92,78,87,95,115,114,114,115,117,168,159,155,158,167,173,174,174,161,125,103,84,85,95,95,110,91,96,104,110,158,143,129,130,148,169,176,173,152,106,83,78,90,97,86,92,105,119,137,149,153,143,140,161,184,181,178,190,181,133,84,86,93,98,118,115,130,150,175,192,172,183,178,169,175,176,167,161,153,128,93,100,112,111,129,138,144,166,191,205,178,184,176,174,188,182,143,108,90,89,67,84,114,118,134,154,162,185,207,214,194,191,188,198,201,161,102,66,46,57,35,50,89,98,118,149,181,203,222,222,195,207,201,177,138,86,44,31,44,64,42,40,59,66,105,154,197,218,229,222,173,186,156,95,60,51,39,27,42,71,60,49,45,57,122,184,199,216,222,209,147,144,98,43,36,59,61,48,40,57,54,54,54,79,150,201,196,211,211,195,112,102,64,27,19,26,32,40,50,47,39,54,70,106,167,191,200,213,212,194,139,84,24,28,42,38,45,42,66,50,40,60,105,152,182,195,219,210,214,202,127,83,35,44,59,51,53,47,33,50,82,125,167,195,205,207,223,216,219,208,107,72,33,42,56,51,56,52,60,86,125,160,184,197,205,210,215,206,211,200,146,113,68,69,81,86,104,107,118,132,150,160,164,171,186,199,203,194,198,187,1
121,116,117,124,127,124,122,123,128,137,148,155,159,159,160,161,142,142,138,135,125,119,117,121,122,119,117,119,129,136,145,152,155,158,162,166,148,146,141,136,127,123,120,121,122,118,117,118,126,132,139,144,148,154,162,167,157,154,145,137,121,119,118,117,115,112,109,107,115,120,129,135,140,148,157,164,163,159,150,139,114,113,111,104,97,91,85,80,91,99,109,122,132,143,155,163,165,164,156,146,117,117,108,94,81,73,66,61,67,77,91,106,121,137,153,163,163,165,162,155,123,120,105,84,68,63,61,57,60,68,79,93,109,128,146,158,162,168,169,166,119,113,96,72,56,56,59,59,64,69,78,86,99,118,137,150,161,168,174,174,112,101,80,60,51,53,57,57,60,63,72,83,98,114,130,143,159,166,175,178,117,106,83,60,50,49,53,53,58,62,72,86,98,113,131,146,163,170,179,184,121,110,87,63,50,49,51,52,56,63,78,92,103,112,128,143,161,168,177,183,119,112,96,74,58,55,53,51,55,66,85,103,110,113,123,138,154,161,170,177,118,118,108,91,75,66,57,51,55,66,89,112,119,117,123,137,152,159,167,173,120,124,122,109,94,80,67,58,59,67,89,115,125,121,128,144,157,161,167,173,117,126,130,122,108,96,83,75,74,74,90,114,123,122,130,145,160,161,164,166,112,122,130,127,118,109,100,92,90,84,93,111,119,119,127,143,158,157,157,158,125,127,131,133,132,123,106,92,89,86,97,116,123,121,134,157,168,160,155,157,137,139,141,139,137,132,123,115,96,92,99,116,121,116,129,152,165,158,153,156,148,152,152,145,140,140,141,139,116,109,111,125,127,121,133,153,168,161,157,160,151,159,158,147,139,141,147,149,132,121,121,132,133,128,138,158,168,161,157,161,1
198,197,199,205,210,211,207,202,194,195,184,165,157,159,158,149,147,144,133,120,197,197,199,205,209,210,206,201,196,187,178,172,166,157,151,146,143,140,131,121,198,198,199,204,209,209,204,200,199,185,177,181,176,160,149,148,143,141,134,127,200,199,200,204,207,207,202,198,193,184,179,179,172,160,150,150,149,147,143,140,202,200,201,203,206,205,200,195,182,185,181,168,159,157,154,148,154,151,149,149,202,201,201,203,205,204,198,192,182,187,180,164,158,162,161,153,156,151,147,149,203,201,201,203,204,202,196,190,188,180,171,165,167,168,162,155,155,148,144,145,203,202,201,202,204,202,194,188,186,166,153,161,170,164,152,147,154,145,141,143,204,200,199,203,207,204,194,187,182,179,175,174,171,166,157,151,155,148,143,145,201,200,200,203,204,201,194,186,188,185,179,175,171,164,156,150,152,148,148,157,199,200,202,202,200,196,190,186,185,180,175,169,165,158,152,148,161,152,144,143,196,200,203,201,196,190,186,186,176,173,168,165,160,158,157,156,163,149,133,123,195,199,202,199,192,186,183,183,175,173,170,166,164,164,164,165,153,141,133,133,195,198,199,196,189,183,181,180,174,172,171,166,162,159,160,161,152,147,146,153,197,196,196,194,188,183,178,177,170,171,168,163,157,154,154,155,158,150,146,147,198,196,194,192,188,183,177,175,169,170,169,166,160,156,156,157,154,142,130,126,193,199,200,194,188,184,182,178,171,171,165,170,161,156,165,149,136,132,119,113,201,205,203,194,186,182,180,177,179,175,166,170,162,155,160,141,131,131,123,119,203,206,203,194,185,183,183,181,181,172,159,165,161,154,156,134,123,132,129,127,194,199,200,193,188,187,187,186,174,160,146,158,159,154,155,132,116,132,136,135,0
151,158,150,154,151,146,162,165,143,149,144,154,182,182,172,180,209,210,210,209,158,156,144,155,165,160,162,147,135,147,145,152,198,201,195,205,212,213,214,213,155,155,143,153,162,157,157,141,140,149,140,134,199,198,193,200,209,211,212,212,146,160,156,155,149,143,159,159,155,152,128,115,188,191,183,187,202,205,208,208,142,165,165,164,153,149,168,172,165,149,119,117,189,203,198,202,203,206,211,213,138,157,158,164,165,162,170,159,168,145,120,144,191,211,205,211,202,207,213,217,135,151,149,156,162,163,167,149,159,138,127,177,184,200,187,197,189,195,203,208,137,155,152,153,153,155,167,158,143,128,132,201,181,191,174,186,171,178,186,193,154,144,149,162,142,145,174,160,125,132,203,206,211,181,206,181,177,185,198,211,170,159,160,170,150,147,168,149,126,155,217,221,222,201,215,199,195,198,205,210,173,163,159,165,148,140,149,124,118,176,224,225,216,206,202,198,189,189,189,189,146,142,137,148,144,138,140,114,115,198,228,223,207,205,185,191,200,199,198,198,129,133,127,140,148,148,147,123,118,209,230,224,208,218,193,205,214,215,216,216,151,158,146,151,158,152,146,121,112,193,213,210,202,220,206,218,210,211,213,213,165,175,156,154,158,148,138,116,114,176,198,192,192,211,209,216,212,212,212,211,147,162,145,144,151,147,140,123,132,180,200,190,192,207,212,213,209,208,206,204,137,161,144,142,158,151,136,121,122,145,194,196,217,220,215,206,212,207,207,211,144,171,156,150,160,150,137,125,113,144,200,201,216,215,209,202,212,207,207,211,137,166,154,147,155,144,133,124,108,150,214,213,219,213,209,205,212,207,207,211,126,153,140,138,152,144,133,122,105,156,226,220,218,209,209,210,212,207,207,211,0
113,122,113,94,129,161,134,116,140,136,150,162,154,146,150,153,158,166,149,135,138,136,117,97,134,166,137,116,128,136,139,141,148,157,156,154,169,188,180,157,152,142,119,103,141,166,127,102,111,152,158,140,150,167,169,169,180,194,180,148,142,133,117,111,145,155,106,80,90,167,181,140,131,144,152,165,172,168,141,109,129,123,116,115,143,143,94,75,91,158,159,103,83,90,98,116,130,122,107,88,128,122,117,118,144,138,95,87,125,138,109,61,47,52,56,64,68,74,91,98,125,117,118,125,151,141,95,89,145,109,66,43,41,42,41,43,40,46,82,114,118,110,116,132,160,144,91,81,130,76,42,41,42,37,36,36,51,42,77,124,113,102,112,139,147,118,82,65,82,63,45,35,29,27,33,44,48,41,83,137,123,118,107,103,107,98,84,82,76,67,54,38,30,30,38,47,51,43,76,118,131,136,108,78,77,82,84,98,76,68,55,41,33,33,40,46,54,55,90,123,133,137,105,71,68,71,77,99,100,74,53,50,49,41,40,47,34,59,114,152,143,130,92,65,60,61,77,109,140,88,54,61,67,50,42,52,32,73,147,193,162,130,94,70,58,70,103,132,163,102,58,61,66,48,42,54,51,85,150,188,160,134,119,98,73,94,135,143,166,120,76,58,51,43,46,61,64,76,118,148,138,130,141,124,90,114,148,132,165,140,99,61,41,44,60,73,87,84,117,147,151,130,126,109,108,126,131,153,162,132,144,106,68,57,74,69,64,79,136,145,156,136,131,106,103,123,129,157,186,144,157,129,86,58,76,88,108,113,156,154,160,143,139,104,99,121,125,163,198,148,169,163,129,96,123,154,172,163,187,172,161,149,149,104,98,121,119,165,196,146,174,183,166,146,181,215,194,174,186,164,1
204,225,188,177,148,173,130,110,120,146,124,132,154,143,148,156,151,152,153,155,222,223,182,183,155,162,123,118,132,155,134,129,144,148,158,155,147,147,148,149,223,210,180,199,179,163,123,130,204,206,171,141,135,149,167,155,168,167,167,166,205,201,191,224,216,192,149,153,191,184,167,150,145,161,177,167,177,175,172,169,186,201,210,236,237,222,186,178,159,157,178,196,196,190,175,162,186,182,176,171,172,202,215,221,225,225,202,188,194,192,216,233,232,208,168,159,198,195,189,183,166,200,215,209,212,214,202,189,206,208,217,213,222,209,166,169,193,193,193,192,166,202,221,213,217,214,204,194,209,222,225,204,217,208,157,157,195,199,205,210,159,206,241,234,209,200,205,209,217,211,200,205,214,197,165,150,182,188,195,197,162,201,228,217,201,204,213,213,208,210,210,215,220,198,166,153,175,179,183,186,156,187,200,188,186,207,219,214,206,209,206,205,204,183,161,156,167,167,169,173,155,175,179,168,180,213,225,212,207,197,178,165,164,154,146,152,153,152,154,158,168,180,176,169,188,222,227,210,205,186,153,139,144,144,142,149,163,163,166,171,182,184,179,176,195,221,221,203,208,190,163,158,170,169,157,155,170,171,173,177,185,182,177,182,202,221,218,206,210,202,187,191,203,192,167,156,156,156,154,151,187,181,178,190,211,227,227,219,208,204,198,203,211,192,159,144,164,162,155,147,198,186,192,193,185,198,221,220,201,202,198,185,174,163,153,144,157,148,160,139,184,175,181,181,169,175,189,185,184,187,186,177,171,166,161,155,155,146,160,139,183,179,184,181,168,164,166,160,177,180,178,169,164,161,159,156,150,141,155,135,193,194,196,190,178,169,164,159,188,188,182,166,156,149,146,143,144,136,149,128,0
177,164,148,152,174,189,182,169,190,185,175,160,147,144,159,174,142,151,171,179,165,172,155,149,171,177,167,172,174,178,175,167,157,157,164,171,172,173,183,190,157,177,172,165,178,176,170,184,172,179,181,174,170,167,161,151,189,182,184,188,171,177,189,186,175,177,184,183,174,178,178,177,182,185,169,147,183,176,181,189,191,165,185,189,156,170,197,171,167,163,161,169,190,204,194,173,167,167,183,199,186,150,169,181,154,178,206,171,151,139,131,142,165,183,183,177,143,145,168,191,162,151,169,185,182,188,184,151,114,97,87,92,104,113,127,140,134,128,143,165,147,168,181,196,209,186,139,111,69,54,44,47,49,53,75,105,145,130,134,151,161,178,196,212,204,151,85,52,38,48,52,38,31,34,44,72,120,143,159,156,171,191,202,185,140,79,39,30,45,42,41,41,40,27,21,39,103,137,169,176,183,194,186,141,75,26,20,36,36,31,30,44,51,36,40,65,113,137,166,178,200,190,165,112,49,19,29,47,46,53,43,46,46,42,72,106,154,153,159,169,210,195,173,122,56,27,33,36,44,63,46,47,59,77,122,147,179,172,169,178,196,194,193,157,89,57,58,50,56,78,58,73,107,133,169,165,168,175,181,180,171,169,184,170,125,112,117,103,123,139,114,135,157,153,165,145,152,164,169,160,156,144,156,157,140,152,166,145,156,174,153,179,185,155,163,151,150,154,149,138,150,172,152,145,166,169,158,139,160,151,160,168,179,191,173,146,125,150,169,168,215,209,158,135,151,160,165,161,164,144,161,188,182,159,151,162,161,178,188,183,229,217,168,156,173,169,167,166,164,151,168,191,168,137,152,186,190,197,197,188,203,202,177,188,202,177,159,155,162,171,175,171,147,143,182,204,200,200,194,185,1
130,111,94,88,85,76,63,54,50,50,48,49,65,93,118,132,135,151,123,81,102,93,86,84,78,66,54,46,39,39,40,48,65,87,109,124,139,160,140,102,82,78,76,71,62,49,45,47,47,40,41,50,59,64,76,90,96,127,129,106,82,77,67,56,42,35,43,56,63,51,47,54,55,48,52,66,55,95,123,124,80,71,59,46,36,33,46,61,64,52,48,54,55,47,52,65,37,79,123,139,71,60,50,45,44,44,49,56,57,49,45,47,48,45,49,58,37,69,119,143,72,56,44,45,52,55,51,49,54,53,51,48,48,48,51,52,60,80,122,147,84,61,42,42,55,60,53,46,54,59,60,58,61,66,68,64,74,81,114,133,77,70,53,47,57,58,51,53,57,60,59,55,61,72,77,74,68,77,115,124,88,79,54,41,52,59,57,57,54,58,59,57,56,62,69,74,56,65,115,137,97,92,65,42,49,61,60,56,54,59,65,66,63,60,69,80,69,70,129,161,96,102,79,49,47,59,60,58,70,75,85,93,91,85,90,99,95,90,146,178,92,103,85,51,43,55,66,73,96,102,113,121,120,114,110,112,100,99,149,175,95,103,85,52,44,55,74,91,108,117,125,124,120,114,107,100,93,107,148,164,101,104,86,64,58,60,71,87,103,120,124,111,100,99,96,86,98,125,149,146,106,106,92,79,74,66,61,69,99,121,127,105,88,92,95,87,110,141,149,127,106,105,114,94,84,56,63,67,84,108,103,79,79,96,107,110,122,123,121,117,104,105,118,106,100,70,65,59,56,77,77,68,80,100,113,122,127,127,123,116,98,95,111,111,122,100,93,80,67,76,76,78,95,107,115,125,136,137,133,124,103,92,101,107,133,124,122,110,100,97,90,99,114,115,114,124,140,142,139,132,1
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191,193,195,195,191,186,187,191,192,201,207,207,208,209,208,205,213,201,187,181,187,190,194,195,192,188,189,191,195,203,209,209,209,211,209,207,211,202,192,189,181,187,193,195,193,191,190,191,198,206,211,211,211,213,211,209,212,206,200,199,176,185,193,194,193,193,192,190,201,208,212,211,211,212,211,209,210,204,198,196,173,184,193,193,192,193,192,188,201,208,212,210,209,211,209,208,207,200,192,187,173,185,193,191,190,193,191,186,202,209,211,209,207,209,208,206,211,203,195,189,175,188,194,190,187,191,190,183,204,210,212,209,207,209,208,206,213,208,203,198,176,189,195,189,186,190,189,182,205,211,213,209,207,209,208,207,206,205,203,202,174,190,196,193,189,179,178,191,198,205,210,211,207,205,207,212,205,203,201,198,166,176,182,188,192,182,178,190,199,204,208,209,207,206,207,210,205,203,201,199,167,168,170,185,198,188,179,188,199,201,204,206,207,207,206,207,209,207,205,201,183,173,167,184,202,194,182,188,198,199,200,203,206,207,205,204,213,212,209,207,193,178,166,180,200,197,187,190,196,198,199,202,206,207,205,204,209,209,210,209,187,178,165,171,193,198,191,192,195,197,200,203,205,206,205,206,205,206,205,206,176,177,167,167,186,196,191,188,193,198,203,205,204,204,205,209,203,203,204,204,171,179,172,167,183,195,189,182,191,198,205,206,203,203,205,211,203,204,204,204,210,207,198,179,168,185,197,186,189,194,200,205,207,208,209,209,202,203,204,205,227,222,218,203,190,195,199,188,192,196,201,206,208,208,209,209,202,202,203,204,217,212,217,218,208,205,205,197,196,200,203,206,208,209,208,207,201,201,201,202,201,194,206,219,213,207,205,201,201,203,204,207,209,209,207,206,200,200,200,200,0
126,126,135,153,134,128,169,185,165,127,121,139,137,137,150,158,146,181,205,198,144,137,133,145,134,131,156,156,151,124,108,114,125,139,151,150,135,168,198,205,173,158,139,142,142,146,163,151,119,117,107,113,138,149,134,118,129,143,155,158,195,187,161,157,160,171,191,181,183,154,102,79,106,133,148,166,144,143,142,141,200,210,195,188,185,185,200,200,217,155,70,33,51,79,122,177,142,146,151,154,196,222,220,217,203,180,181,184,163,99,40,28,36,38,66,112,133,140,141,132,193,220,221,224,210,170,159,165,132,65,25,31,34,34,57,85,120,135,138,121,194,216,212,218,209,166,152,162,96,36,12,28,31,37,50,58,74,111,138,137,176,214,200,203,192,194,160,125,55,38,24,25,29,34,47,64,43,103,137,126,176,205,206,224,218,178,117,67,47,40,32,28,23,25,38,56,35,90,131,140,170,196,212,222,207,134,83,51,48,52,50,39,28,27,39,52,34,86,137,163,177,197,210,207,199,126,89,58,41,47,46,36,28,30,38,45,51,110,165,188,188,201,204,204,224,178,129,65,44,41,36,35,38,45,52,57,78,146,194,198,171,199,201,199,220,209,180,128,66,47,34,38,49,57,65,73,104,167,202,190,161,203,201,196,192,205,210,197,117,83,57,60,67,67,75,91,139,182,202,192,179,216,202,205,194,209,211,207,199,154,120,117,115,106,113,133,176,200,212,209,162,195,199,203,209,207,216,211,209,208,183,160,155,146,144,164,201,209,214,213,154,189,197,206,214,211,217,213,206,207,183,160,155,146,148,172,205,211,215,213,142,178,190,205,216,213,216,210,202,203,179,156,151,141,149,179,207,211,213,210,134,167,181,199,212,209,212,207,199,197,173,150,143,134,145,180,206,209,209,205,1
153,184,177,171,183,181,167,157,160,160,150,157,174,189,199,192,203,187,170,161,173,196,184,172,177,160,128,107,104,102,98,109,132,157,185,197,205,193,184,182,180,187,178,172,176,150,107,92,77,69,68,75,95,122,160,194,196,188,183,186,179,170,167,177,185,148,101,104,81,70,73,73,80,102,138,184,206,199,193,192,180,161,171,188,192,140,76,87,73,62,76,73,71,90,117,166,208,202,196,189,172,160,181,194,200,150,66,59,67,58,77,66,61,78,90,133,191,193,191,185,162,167,192,190,210,193,101,67,73,64,80,56,48,67,68,102,173,186,196,195,165,182,202,183,216,236,145,90,75,63,78,48,39,64,60,88,146,167,187,190,187,195,209,215,205,222,217,139,69,69,48,61,57,43,70,75,113,146,178,185,201,212,216,214,204,217,223,171,85,62,50,64,54,42,60,68,95,144,182,183,199,215,207,199,194,202,218,206,115,54,49,62,49,43,49,58,74,138,186,184,182,203,186,180,186,188,208,221,149,53,43,55,45,51,47,52,65,124,178,188,171,193,175,175,188,185,198,214,178,69,41,46,45,62,57,54,64,109,160,185,168,188,173,174,187,181,186,194,193,100,49,41,47,70,74,61,66,99,143,173,168,185,175,176,183,179,185,182,194,135,65,44,51,73,88,67,66,101,140,159,171,187,182,182,183,183,193,186,191,159,79,48,53,72,96,72,66,109,145,150,165,186,194,188,183,176,176,187,190,170,121,65,44,59,73,71,98,150,168,153,157,178,186,180,173,163,160,169,179,188,168,121,87,90,107,114,158,183,176,152,139,161,169,162,153,140,134,141,151,182,196,174,148,149,163,170,190,188,169,153,126,149,159,152,141,128,119,125,131,164,190,192,188,194,196,192,179,167,156,159,1
176,182,184,179,178,183,190,193,188,190,195,196,191,188,195,206,205,201,196,193,183,180,176,177,187,195,193,185,196,193,193,196,197,196,199,204,199,198,196,198,178,178,178,183,194,202,196,186,205,197,192,197,204,204,202,201,208,206,204,204,167,179,190,193,195,198,199,199,208,199,194,199,205,205,203,202,214,211,207,204,170,181,192,196,197,201,204,204,205,201,198,200,201,199,199,202,204,203,201,201,189,188,187,190,201,211,207,200,204,202,202,202,198,193,196,202,202,201,200,200,204,199,191,189,198,206,205,198,205,202,201,201,198,193,194,200,203,202,200,200,206,208,204,194,188,193,200,204,207,202,199,199,198,194,194,197,194,193,194,197,189,195,194,185,180,186,196,200,217,202,189,195,202,186,179,192,206,195,191,199,189,188,188,186,181,179,182,186,199,191,196,208,206,190,181,181,198,194,194,199,183,179,178,181,180,174,170,171,188,184,202,214,198,189,186,174,201,206,211,211,173,175,172,168,170,173,169,161,184,175,193,196,172,173,184,170,189,203,212,208,176,187,182,164,162,178,179,166,174,162,175,177,155,161,177,166,190,207,218,216,194,207,201,177,168,182,191,184,168,156,166,175,166,166,172,165,190,203,215,219,193,199,196,180,165,165,180,194,169,157,158,173,177,167,158,156,156,163,176,188,172,169,170,168,150,137,156,188,171,156,147,160,173,156,138,142,132,135,148,166,143,133,124,125,133,140,145,147,155,163,147,139,132,133,152,151,139,162,153,166,143,142,146,154,161,165,163,162,175,182,167,158,149,147,163,161,179,193,173,180,185,193,204,213,216,215,212,210,205,212,198,190,179,172,185,181,192,201,184,199,211,221,230,230,228,227,228,229,222,229,216,212,199,189,199,196,176,188,182,214,0
60,59,74,80,82,109,133,123,126,129,116,131,185,208,178,150,145,132,145,175,55,56,72,81,87,114,135,127,122,130,127,142,183,195,171,154,165,167,164,157,50,53,69,80,92,119,137,132,129,135,133,138,155,155,143,143,181,203,186,147,49,54,65,76,93,117,134,135,142,136,127,123,124,124,129,140,165,196,173,130,48,57,63,71,90,111,127,138,148,135,127,126,127,133,145,153,154,179,164,138,45,60,66,73,90,104,120,138,150,140,141,146,147,155,159,149,147,164,163,160,39,61,70,78,95,102,115,139,147,143,153,161,160,170,166,140,135,152,163,163,33,62,74,83,99,103,112,140,138,138,155,165,166,182,181,150,153,171,185,176,44,66,82,90,103,110,129,156,142,135,162,151,148,177,162,139,168,174,179,179,59,75,85,95,118,137,154,174,174,146,144,137,129,147,153,145,161,171,179,181,79,93,99,109,139,161,169,174,175,142,125,136,130,133,161,164,155,170,184,188,88,110,125,140,167,182,174,165,141,131,128,159,154,143,174,168,152,171,188,194,87,121,152,175,196,194,174,159,113,130,147,179,170,156,173,150,148,166,185,190,87,123,159,185,197,181,157,149,113,131,158,178,169,168,172,143,146,161,175,180,85,110,140,168,179,164,151,157,148,140,163,171,168,181,174,154,153,164,173,175,75,90,115,149,169,164,168,189,192,158,172,173,172,189,171,158,165,171,177,178,77,85,98,112,130,153,179,197,179,177,176,168,169,186,186,164,170,176,182,182,74,77,81,87,100,121,148,166,158,158,165,167,172,188,191,176,162,166,168,164,65,63,60,58,66,87,116,136,128,127,141,156,163,174,182,178,163,166,164,158,58,54,48,44,50,73,102,125,112,108,124,143,148,156,167,171,165,169,171,167,0
115,135,102,82,91,85,89,99,93,100,98,101,111,111,110,119,122,109,129,115,125,129,102,99,110,98,92,89,91,103,106,108,113,114,121,136,141,127,134,116,132,130,115,122,120,102,97,85,95,107,104,92,86,81,89,108,128,127,130,116,130,137,133,129,110,98,107,95,95,101,84,58,42,35,39,55,86,115,127,129,131,139,127,115,102,105,118,98,84,85,62,33,22,21,26,37,55,113,130,143,136,133,106,103,115,120,112,81,72,72,50,26,23,27,29,35,43,115,122,136,136,128,100,115,141,117,81,55,57,62,47,28,27,31,29,30,49,126,116,130,134,130,109,138,158,103,49,36,38,50,45,32,32,35,32,33,67,144,125,142,146,115,121,149,128,71,31,19,32,38,55,31,34,33,42,20,80,150,144,132,126,118,138,153,114,54,27,25,28,31,36,27,29,23,30,33,88,136,130,124,113,131,161,157,95,36,20,27,23,36,24,19,21,25,26,50,112,125,120,125,118,144,171,149,81,30,20,25,21,49,26,17,15,34,35,68,140,121,118,132,124,139,152,127,75,42,33,27,30,45,21,23,22,33,42,96,156,117,120,138,133,131,129,109,79,63,51,35,42,27,12,30,31,27,59,135,158,119,126,142,162,146,132,115,95,82,65,42,44,26,24,26,35,44,106,170,148,115,128,140,195,172,151,131,110,93,71,45,38,39,46,15,29,72,154,187,130,106,121,130,192,184,168,133,104,111,106,67,46,34,31,43,61,109,167,153,103,118,136,145,185,180,169,138,107,113,122,103,96,73,55,76,107,136,154,128,118,130,145,154,165,164,159,134,103,106,130,139,153,127,91,114,146,148,135,116,126,132,142,152,150,150,147,127,102,100,130,157,186,165,114,134,151,134,116,130,127,127,132,143,1
165,151,158,136,92,76,78,79,83,61,36,23,21,23,30,38,51,98,108,86,133,139,158,141,101,91,95,89,91,76,48,24,23,43,62,69,73,102,114,108,120,137,156,140,103,101,114,104,89,87,69,47,45,59,61,50,64,68,86,103,132,137,138,127,98,102,128,119,111,103,88,72,68,64,47,27,42,27,49,82,118,113,102,105,97,108,141,130,111,82,53,45,45,39,31,28,39,27,51,87,79,80,69,87,95,116,147,118,65,36,16,20,26,23,27,37,38,48,82,116,66,84,70,75,85,110,134,76,34,29,28,34,36,34,35,40,36,77,117,142,80,113,89,73,69,97,114,35,22,33,39,31,22,20,23,26,45,105,144,155,99,102,87,78,91,98,80,64,50,27,30,28,25,31,27,30,65,107,143,150,106,103,94,95,103,89,61,48,30,34,46,31,27,39,34,36,80,107,132,137,108,102,100,113,120,94,61,52,42,49,58,45,40,39,35,56,101,109,118,124,103,102,104,119,130,113,92,89,76,49,45,52,54,38,42,94,120,114,115,124,99,107,105,108,121,122,119,123,98,49,34,45,56,56,71,124,126,117,119,132,103,113,107,98,102,110,120,134,125,81,69,68,69,86,103,124,123,119,122,134,111,115,113,105,99,95,107,136,153,114,129,131,105,107,114,111,119,119,118,118,115,115,115,118,109,89,102,141,159,118,160,185,140,114,112,109,118,118,113,101,158,135,110,107,111,102,102,124,155,145,157,167,138,105,104,118,128,118,99,80,193,175,139,106,97,103,118,136,148,147,156,155,136,123,121,117,115,106,89,73,202,208,184,137,111,117,127,126,137,143,148,138,131,142,137,113,97,89,76,63,195,214,212,172,132,127,131,121,131,133,131,123,128,148,140,107,84,77,66,59,1
202,206,207,204,201,200,205,211,213,208,214,223,204,160,122,107,126,111,86,74,185,203,217,216,205,200,203,208,204,207,212,219,219,199,161,129,128,116,95,87,150,173,196,203,202,204,206,205,202,210,209,208,218,220,183,135,145,135,114,104,128,146,167,183,200,211,208,198,200,208,205,199,210,216,191,151,171,163,142,128,121,140,168,193,208,212,206,199,198,203,205,205,208,212,204,194,189,186,168,156,101,126,167,203,216,210,208,213,205,205,207,210,208,204,207,215,203,204,189,175,95,103,138,187,213,209,210,220,210,208,208,206,205,202,204,207,209,212,198,183,117,97,108,162,205,211,206,212,206,207,203,200,205,212,209,201,206,211,199,187,133,111,99,120,162,198,210,209,209,205,199,199,208,216,208,193,202,203,201,197,144,120,98,100,122,157,192,217,221,222,216,206,203,204,204,200,208,207,205,200,145,127,108,100,98,113,154,195,198,210,218,212,202,198,203,207,209,208,206,202,130,126,127,126,111,99,113,140,156,181,207,216,211,203,203,206,203,203,203,203,121,123,135,144,132,110,99,104,137,158,187,208,212,209,207,205,203,204,206,209,127,127,131,136,133,121,110,105,124,130,146,169,189,202,209,213,211,211,211,213,131,133,130,124,122,124,122,116,117,107,106,124,152,176,196,208,217,213,209,206,128,137,136,122,117,122,122,116,123,107,95,105,129,153,175,189,218,211,201,195,120,128,133,130,123,124,129,135,140,125,112,109,107,107,121,139,155,157,166,179,118,126,132,130,122,120,123,127,133,122,116,118,117,116,125,139,124,127,137,151,116,124,130,129,120,114,114,119,121,117,119,125,126,122,125,133,117,118,123,131,120,124,128,126,116,108,109,115,111,112,118,126,126,122,121,125,124,124,124,125,0
172,167,167,176,183,186,191,198,185,174,172,185,192,184,178,178,172,145,130,131,162,158,162,178,192,197,197,199,188,175,169,177,185,183,184,188,190,162,145,143,170,164,164,175,188,192,190,187,186,175,169,175,183,185,188,193,195,170,159,162,182,174,169,169,174,180,184,186,179,172,172,179,186,188,187,189,180,162,162,173,171,173,173,169,170,176,186,194,178,173,172,177,183,185,187,189,173,156,156,166,164,174,181,177,171,172,177,181,180,174,170,169,175,182,190,194,180,159,151,154,170,180,182,174,164,160,159,157,174,171,168,168,173,182,190,194,175,156,151,156,174,176,171,159,152,152,151,148,162,165,169,173,179,185,189,189,160,148,154,168,180,149,159,150,165,185,149,148,171,166,163,163,165,171,180,188,157,159,162,166,173,154,176,174,187,196,152,142,141,142,149,160,168,173,178,182,165,171,178,180,171,182,220,210,191,178,149,158,136,138,149,167,177,177,172,171,166,175,184,186,192,210,240,224,194,180,172,192,156,149,152,169,181,178,170,165,163,169,174,176,216,212,218,213,212,216,211,214,172,155,148,159,170,169,162,159,163,159,155,157,211,208,206,208,212,216,214,212,192,173,162,162,160,150,145,148,156,146,137,134,205,211,211,212,206,200,203,202,201,193,189,183,162,136,130,141,146,139,129,124,217,215,204,212,218,216,214,201,189,194,203,199,168,134,130,148,143,140,136,131,226,217,208,207,209,205,197,189,183,184,224,169,156,157,144,155,165,165,154,139,217,216,215,214,210,202,196,195,191,193,208,154,136,138,152,168,173,170,160,146,197,205,216,219,211,200,198,202,200,198,172,139,133,136,170,172,167,164,154,144,176,189,207,219,213,201,200,207,206,195,135,136,153,156,191,164,156,150,143,138,0
134,127,118,125,154,177,169,144,133,117,109,111,115,131,146,146,136,133,150,170,129,122,113,112,122,140,155,162,139,135,132,122,113,130,157,166,142,125,134,159,129,122,116,111,102,110,143,179,151,152,150,133,121,137,156,154,142,115,110,125,126,116,113,114,102,97,123,160,159,158,155,148,151,169,163,135,113,103,104,108,133,116,108,111,105,94,99,117,128,129,130,131,141,158,148,113,89,103,118,110,153,139,125,120,115,110,103,101,105,111,116,111,104,113,114,99,83,104,123,114,150,157,152,136,126,127,121,109,119,124,133,124,107,105,115,114,91,94,109,120,119,150,161,140,123,127,125,111,113,114,126,127,115,114,124,124,120,96,96,116,102,127,148,148,135,126,126,127,119,95,103,132,133,119,127,147,145,143,118,103,116,140,154,142,126,121,121,119,98,83,100,137,146,137,138,143,141,155,137,109,142,150,148,133,124,124,117,103,105,87,94,117,128,130,130,126,131,159,152,117,151,154,153,142,124,113,112,116,117,97,94,104,112,121,119,105,110,135,136,114,145,153,166,163,131,101,114,145,113,103,103,113,122,129,120,98,91,95,102,103,160,151,154,165,153,132,132,149,127,113,108,111,114,124,124,111,96,82,91,109,173,160,151,157,166,165,154,144,140,120,108,103,100,111,124,126,112,96,108,130,160,175,178,164,156,161,166,160,125,112,110,113,110,117,129,133,118,107,124,142,128,185,202,178,166,139,154,133,115,119,121,124,112,127,162,154,127,96,104,143,125,165,186,180,174,136,145,139,132,130,123,124,113,124,156,148,123,97,101,131,132,152,177,191,192,143,147,156,144,137,120,118,109,116,140,134,124,106,108,122,143,151,178,195,202,157,156,171,149,139,115,115,112,113,129,124,129,121,124,128,0
197,193,165,142,154,168,167,167,150,137,154,152,172,167,184,175,137,121,128,144,197,194,157,144,176,181,156,152,142,147,159,141,144,140,178,205,157,125,111,124,196,196,163,155,182,173,139,136,133,153,161,141,142,135,172,219,215,170,121,103,190,190,189,187,180,167,158,155,161,181,181,175,188,178,183,219,211,187,142,108,160,155,189,202,165,161,171,149,158,169,159,165,184,179,173,203,188,192,165,130,162,154,189,199,158,152,148,102,91,98,87,100,111,128,145,188,196,206,170,122,193,200,206,185,150,131,103,61,40,41,35,58,58,87,116,161,178,201,168,115,184,213,191,140,113,84,46,29,23,14,14,40,30,53,73,103,156,205,194,145,205,187,164,127,74,40,29,24,25,21,23,29,32,38,57,79,129,196,178,142,219,164,116,88,55,31,24,26,15,20,25,30,42,57,65,67,90,162,167,153,198,134,90,82,67,43,41,51,40,46,47,49,64,80,76,60,76,139,157,159,141,122,126,137,120,93,91,102,91,82,74,74,83,90,83,71,115,149,158,155,118,142,179,193,173,156,153,152,128,103,86,89,95,94,98,106,159,165,164,153,146,177,208,210,197,198,198,182,153,121,101,110,119,120,132,153,172,167,172,160,176,198,217,212,202,212,216,201,185,158,140,143,153,159,168,178,174,171,187,170,181,201,223,219,205,212,220,213,213,194,174,169,177,185,182,176,180,180,200,176,192,208,201,208,205,216,205,210,206,191,189,190,185,180,172,154,179,194,188,156,198,212,203,208,204,215,203,208,201,186,185,186,182,177,169,152,156,171,172,156,205,217,205,209,204,214,202,207,199,185,183,185,180,176,170,154,147,152,154,152,209,220,205,208,204,214,203,207,200,187,186,188,182,179,174,160,163,151,144,144,1
184,192,191,188,198,207,211,220,210,225,208,205,202,195,203,183,190,179,172,172,186,186,190,194,202,209,208,201,199,207,201,213,204,183,196,197,200,187,175,174,185,181,193,199,193,204,212,201,223,222,208,211,207,197,206,206,172,175,177,177,188,180,198,200,180,197,225,222,217,217,202,193,203,211,190,151,122,154,181,184,195,183,196,201,187,205,227,217,183,160,128,105,115,141,138,122,114,149,180,187,201,187,192,203,205,208,194,161,119,80,58,42,40,55,86,135,145,157,171,182,196,194,197,202,199,174,128,86,39,28,56,64,50,43,64,125,164,164,171,184,184,200,207,199,178,130,72,38,30,33,63,57,42,52,81,139,162,168,184,199,200,197,203,197,153,90,53,49,26,33,42,36,36,39,68,140,173,172,182,200,204,201,204,197,155,96,62,60,44,40,46,45,46,43,63,129,174,172,183,202,208,206,207,196,155,99,68,67,49,35,39,41,47,50,67,123,178,177,187,205,210,209,208,195,153,98,64,60,46,34,36,31,43,71,102,147,185,185,193,208,212,209,209,197,156,100,61,48,53,45,44,26,39,95,143,178,185,188,196,210,211,209,208,199,166,114,71,51,57,44,42,24,37,101,154,181,182,189,199,211,211,207,207,205,181,138,95,72,61,35,37,39,56,113,158,181,182,193,205,212,211,206,207,208,193,157,117,93,73,34,43,67,93,138,173,197,187,199,211,214,213,210,206,203,201,186,154,121,82,86,105,126,136,165,167,215,202,213,210,204,210,207,204,205,209,200,168,134,129,137,156,171,165,177,171,212,203,217,215,208,210,207,204,208,218,214,183,145,133,145,167,185,166,166,156,185,193,212,213,203,214,210,205,209,222,221,188,146,133,145,166,192,170,164,154,169,182,206,210,197,1
145,143,142,139,134,132,140,151,157,165,164,159,159,155,159,173,168,159,155,161,147,159,152,130,128,150,164,161,155,157,151,147,151,150,152,166,166,161,161,170,183,187,169,137,126,141,148,142,151,146,132,130,137,139,140,152,166,160,157,159,182,171,158,149,142,137,135,137,147,136,120,120,132,134,134,144,147,144,142,143,164,156,153,154,152,140,127,119,141,131,119,126,141,142,141,154,150,146,140,136,149,158,155,142,144,150,133,104,134,132,131,144,159,156,155,169,169,166,156,143,136,140,133,123,136,158,156,136,132,137,145,162,171,160,155,171,165,168,167,161,165,143,122,118,129,139,145,146,132,141,155,171,174,155,147,162,159,165,166,162,185,170,146,136,135,125,124,140,129,135,151,152,147,168,177,156,159,154,146,139,171,165,152,149,156,148,138,143,133,134,131,124,131,162,178,168,149,142,134,129,154,159,153,150,162,161,149,144,142,144,131,126,141,157,158,156,149,136,126,125,154,164,157,146,155,160,154,149,157,153,139,146,161,149,137,153,147,125,109,109,162,177,171,153,153,159,156,153,164,147,134,151,161,136,130,164,158,132,109,106,158,173,170,157,157,157,151,148,151,136,136,158,159,131,122,146,165,148,127,117,146,154,150,146,156,158,150,147,142,135,146,161,159,148,140,134,148,151,144,129,144,141,132,134,154,163,158,157,146,139,145,148,149,171,181,159,150,169,176,161,143,147,150,135,146,167,170,186,181,157,126,126,155,176,183,192,171,158,175,180,145,146,145,127,137,159,163,180,186,164,134,132,156,171,172,178,169,155,170,172,141,144,146,130,138,157,155,168,195,176,151,150,171,179,173,174,171,156,167,165,134,143,153,143,152,164,152,157,193,179,161,165,187,192,182,181,178,163,171,164,0
164,132,110,90,116,144,170,154,143,144,128,104,123,184,219,205,177,166,158,159,181,140,117,99,113,127,166,178,165,154,143,127,124,160,204,221,185,173,164,162,183,161,150,113,103,105,149,167,174,165,155,136,121,142,182,204,208,198,186,180,164,188,201,142,104,101,132,129,154,158,150,126,118,148,177,178,200,194,187,182,144,186,216,168,125,110,131,123,135,139,140,125,114,139,173,182,182,183,185,185,137,150,178,162,140,116,135,140,142,135,140,137,108,100,138,179,174,179,181,178,146,128,135,130,134,123,136,133,150,142,150,149,112,88,115,153,153,158,158,150,161,135,122,104,124,134,139,109,142,146,158,155,130,118,126,131,144,149,150,142,184,151,119,115,128,136,130,124,122,149,193,182,135,92,129,130,177,167,152,139,168,169,159,149,148,142,135,137,134,137,154,193,189,116,106,138,174,174,169,159,122,149,150,139,140,132,123,130,145,151,125,165,197,147,109,142,163,175,179,171,122,145,138,124,138,141,130,130,144,187,139,125,142,162,141,136,151,168,174,165,140,155,146,131,139,144,135,131,135,185,172,146,116,146,152,126,138,156,167,161,124,138,148,142,130,130,134,132,124,151,187,205,148,125,139,128,121,140,161,170,119,121,147,155,131,130,145,139,119,130,180,210,173,126,144,142,114,128,150,171,129,112,136,150,123,124,141,125,118,138,169,170,163,142,167,156,121,124,138,157,137,121,121,144,151,133,122,129,135,144,141,166,177,177,183,153,128,118,121,131,162,134,122,143,159,149,138,139,143,145,136,155,169,177,188,161,125,109,107,113,186,143,114,131,154,152,138,132,148,140,125,138,159,183,200,180,151,125,115,119,198,148,109,118,143,143,126,115,145,131,117,125,153,193,214,199,185,152,132,136,0
41,45,52,66,85,109,130,142,129,124,132,140,135,130,124,113,106,86,65,56,43,44,50,65,86,110,128,138,132,125,128,130,124,122,124,117,108,87,63,53,44,44,49,63,86,108,127,136,132,126,130,130,123,125,130,125,114,90,64,52,43,45,52,64,83,106,129,142,129,129,140,141,135,137,139,132,120,96,68,54,44,50,59,70,84,107,132,150,133,134,142,140,134,138,140,130,121,97,70,57,51,60,72,83,96,115,136,151,138,135,134,128,121,128,132,120,112,90,67,57,64,70,84,100,117,130,139,144,133,129,127,121,118,128,128,111,97,78,58,51,74,78,91,111,133,142,140,134,124,122,125,126,127,137,131,108,86,67,51,47,90,93,106,127,142,141,131,123,123,117,122,129,132,137,127,105,82,67,51,47,117,115,120,133,141,139,131,124,119,119,128,134,132,134,126,109,85,68,52,47,143,136,134,139,142,139,133,130,120,122,134,137,131,131,126,112,90,73,56,50,149,142,137,139,142,139,137,135,127,126,134,136,129,130,127,114,93,75,58,51,143,138,135,138,139,137,135,134,137,130,131,131,127,131,129,114,91,73,56,49,140,135,135,138,138,133,131,130,141,132,132,130,126,130,128,113,88,71,52,45,142,138,138,140,139,134,131,132,137,133,137,134,127,127,125,111,91,72,54,46,145,141,139,142,141,137,137,139,131,133,142,140,127,123,122,110,95,77,58,50,124,125,126,132,140,144,144,143,128,133,134,129,124,120,115,109,95,64,57,47,126,127,129,135,141,143,141,139,126,131,132,127,124,121,118,114,97,66,58,47,132,134,138,143,146,145,141,138,124,128,130,124,122,122,122,119,100,68,58,45,140,144,149,153,154,149,143,138,126,128,129,123,120,122,124,122,99,67,57,43,0
150,165,164,166,179,174,175,198,179,192,191,182,181,179,179,186,177,160,175,143,166,175,167,165,175,172,174,194,177,192,196,191,191,183,173,173,172,161,179,154,182,179,168,164,172,174,178,194,183,196,196,193,195,187,173,169,168,162,176,162,184,176,166,166,173,178,185,195,194,200,192,187,193,192,184,183,172,164,165,163,181,170,167,172,176,182,190,193,198,201,191,185,195,199,196,197,183,170,153,160,180,169,172,180,179,184,192,189,192,199,194,192,202,205,199,199,193,178,148,162,181,168,176,186,180,187,197,191,193,202,199,194,202,202,197,198,198,190,155,173,179,166,177,188,181,189,203,199,199,206,200,192,195,197,194,198,198,197,163,183,180,178,182,191,196,196,201,210,201,204,205,203,197,196,199,203,200,188,172,161,186,182,182,190,197,197,199,203,202,204,203,200,197,194,194,196,189,180,170,165,189,183,183,189,196,200,200,201,206,204,201,198,195,193,189,187,178,174,171,170,181,183,186,191,197,202,206,209,212,205,200,197,196,192,186,179,178,175,171,169,173,184,193,197,197,200,208,215,214,207,201,198,198,193,184,177,180,176,170,164,165,182,198,200,196,198,206,214,214,208,202,200,199,193,185,177,179,175,169,163,155,175,193,197,197,201,207,210,210,207,202,201,198,192,185,179,181,178,173,169,146,165,184,193,199,206,210,210,207,206,202,201,196,191,184,180,185,183,180,176,149,172,170,184,200,201,209,206,208,205,204,203,202,199,194,191,182,183,184,186,150,174,174,185,198,196,205,204,209,207,206,205,205,202,197,194,183,184,184,185,146,173,175,185,195,192,203,205,210,208,207,207,208,206,201,198,186,184,182,180,139,169,174,185,193,191,205,211,209,207,207,208,209,208,203,201,188,185,178,173,0
146,121,129,149,176,167,146,186,184,196,198,184,190,162,151,110,93,93,118,150,145,151,171,179,198,194,165,178,170,184,187,186,186,166,153,116,115,115,134,156,156,188,212,204,213,220,190,176,150,169,172,189,174,163,149,120,131,131,141,150,182,211,222,205,208,224,208,181,141,162,169,193,158,150,139,120,125,127,135,135,205,216,211,200,203,217,215,187,148,164,174,196,146,132,131,120,119,122,133,132,212,211,204,206,207,214,219,192,163,165,178,191,141,119,133,120,124,128,143,151,207,210,206,215,210,214,228,199,173,157,169,175,138,113,137,120,129,133,158,179,202,213,210,217,208,214,237,207,175,144,156,159,135,109,141,117,127,132,164,196,210,207,210,212,213,221,214,191,171,153,125,158,156,122,136,119,120,144,163,179,210,206,213,219,225,229,215,185,160,164,155,180,162,124,141,133,109,153,164,158,221,217,220,222,218,213,187,151,129,144,148,165,143,115,133,127,106,169,172,145,183,181,184,181,171,163,144,114,145,154,154,163,149,133,144,130,119,178,171,143,132,136,146,145,140,146,148,134,167,171,171,172,155,142,143,127,136,173,157,143,129,135,145,143,137,148,163,160,144,146,157,157,139,127,126,119,146,160,146,152,141,145,152,148,140,152,165,161,160,142,144,146,138,136,134,132,149,152,145,157,150,155,165,168,169,185,197,192,209,162,140,138,144,151,144,137,151,153,145,149,140,131,152,198,212,218,232,222,206,173,149,137,146,144,121,128,144,144,147,151,125,122,143,177,188,198,211,203,181,157,143,134,144,146,134,149,159,161,165,168,126,133,154,169,173,188,196,188,176,160,149,135,137,136,129,151,149,151,156,160,137,155,179,176,175,191,190,184,188,172,160,137,131,128,118,138,145,150,156,159,0
165,169,157,148,166,189,201,208,185,164,149,144,143,161,180,183,200,200,202,204,174,190,180,154,151,172,193,211,183,162,146,139,141,159,180,184,203,203,203,205,161,190,188,154,135,143,167,189,177,156,145,142,146,166,187,191,203,201,199,199,149,172,177,161,147,139,148,168,163,148,142,146,153,173,192,194,200,197,193,192,161,163,166,176,178,164,158,173,154,144,146,155,163,178,191,187,199,195,191,189,177,168,163,176,187,176,167,179,163,155,160,171,178,189,196,188,199,196,192,190,181,188,183,176,178,172,166,172,169,162,170,182,190,200,206,199,197,195,192,191,185,214,216,190,176,172,168,167,164,157,165,179,189,203,210,204,195,193,191,191,188,219,210,176,169,168,161,162,177,164,162,181,196,199,199,202,194,196,198,200,185,202,199,184,184,183,170,157,157,161,178,197,203,198,201,211,200,201,202,203,199,187,178,174,178,189,184,163,154,164,183,201,204,199,202,212,205,205,204,203,190,166,161,168,174,193,196,174,176,173,178,189,199,203,205,209,205,203,200,198,161,150,162,179,185,198,198,175,188,183,183,190,198,203,208,211,204,202,199,196,166,166,171,172,174,185,188,175,180,188,198,202,201,203,211,220,203,201,198,196,169,180,170,150,155,171,179,180,179,188,197,200,203,207,212,216,198,197,195,193,137,165,160,143,158,178,181,183,191,186,182,188,201,212,212,206,193,193,191,190,147,158,162,167,176,171,163,165,179,173,170,179,194,206,212,210,196,197,198,198,171,169,156,150,157,158,155,160,169,167,167,175,187,197,204,204,197,198,198,199,195,183,160,148,156,159,156,159,158,162,168,175,182,189,197,200,199,200,201,202,199,187,165,160,173,174,162,158,155,163,174,181,183,186,195,203,201,201,202,203,0
178,182,160,132,122,115,110,112,117,110,111,132,145,129,120,131,136,124,132,160,167,176,153,124,117,108,101,112,115,111,120,133,132,120,120,128,128,122,128,149,152,164,138,113,117,109,103,125,114,113,129,133,113,109,121,123,123,124,128,132,158,162,131,109,122,115,108,133,121,119,136,133,102,105,125,117,122,132,138,133,173,164,128,112,123,117,109,130,135,130,142,135,104,110,129,119,126,143,152,147,163,143,120,116,122,119,119,132,142,138,145,136,112,113,128,124,133,148,155,149,144,119,117,126,117,115,126,131,135,138,139,130,113,106,115,127,140,148,150,143,141,116,126,138,113,105,119,119,123,133,132,121,108,94,101,124,143,147,149,147,123,118,128,133,114,101,108,117,129,124,126,119,100,103,126,142,150,149,151,150,122,118,121,117,106,107,114,111,126,119,120,118,110,120,145,159,158,145,141,139,118,117,115,104,98,114,123,112,133,121,118,123,124,139,163,172,155,132,124,128,114,113,115,108,100,112,125,123,127,112,108,116,122,135,150,151,142,119,119,138,113,109,117,120,105,101,115,126,131,117,118,130,136,145,150,145,141,120,127,151,116,108,115,124,111,100,109,118,134,125,132,147,150,153,152,144,142,124,130,147,119,106,106,115,119,122,120,110,124,117,126,136,130,125,122,112,121,114,128,144,119,104,98,105,126,147,139,108,133,127,133,137,122,109,103,94,90,98,127,155,111,120,102,103,133,133,120,131,156,155,148,121,99,115,117,85,94,128,163,179,113,115,112,138,166,141,116,132,179,175,153,116,94,100,100,85,120,153,184,195,120,128,137,165,186,155,121,126,162,166,141,108,101,97,96,107,139,166,192,197,130,153,162,166,176,164,134,115,120,139,123,107,117,105,99,130,145,164,181,183,0
217,219,208,220,214,201,212,193,125,122,163,197,193,205,212,183,194,181,172,175,222,221,203,212,218,217,219,187,133,124,137,175,207,213,196,176,177,177,182,192,215,229,217,212,211,210,196,158,140,143,145,172,210,202,171,164,168,175,187,198,196,228,230,210,198,197,186,165,150,166,180,190,197,188,170,162,170,174,182,187,138,172,186,177,184,191,177,170,148,144,161,166,165,192,205,176,179,175,171,173,97,118,145,169,207,200,143,120,114,78,76,89,112,181,222,193,193,181,171,170,131,124,140,175,219,189,96,66,57,30,21,33,61,123,187,214,198,188,179,177,168,132,117,134,170,134,45,33,19,28,28,27,35,61,140,234,191,186,184,187,187,151,134,127,134,99,34,34,27,27,34,32,41,57,110,203,194,189,184,181,216,188,165,143,136,104,43,36,35,24,25,24,27,28,71,164,202,198,194,190,228,218,199,166,152,129,73,47,34,31,34,30,31,33,58,131,189,190,189,184,213,223,218,192,181,165,107,51,16,31,41,28,33,40,49,92,180,186,188,184,182,211,217,206,203,194,134,48,27,30,37,32,38,36,42,88,167,173,175,170,140,179,192,192,200,208,165,70,51,27,24,35,47,40,60,136,167,168,161,148,116,153,159,158,171,203,191,107,72,53,44,46,64,75,107,184,199,190,169,146,120,149,143,132,141,184,197,127,118,124,114,85,102,140,173,224,216,200,167,136,116,140,144,151,162,159,148,137,155,168,179,178,180,202,215,206,200,193,174,152,104,134,147,152,159,156,148,144,169,184,199,200,199,213,219,206,195,192,181,167,90,119,136,134,136,140,141,151,161,178,199,206,205,209,208,192,187,189,187,183,91,110,120,107,110,126,135,158,145,161,188,204,203,204,199,184,183,185,187,189,1
103,99,92,108,90,104,98,98,118,116,120,131,141,146,151,156,132,104,102,113,104,98,89,103,87,100,96,97,94,93,95,105,117,129,144,155,154,133,118,112,106,94,87,96,80,85,84,85,74,74,78,88,97,107,124,138,156,153,135,113,104,89,84,86,72,68,66,65,65,67,75,81,82,82,90,100,128,150,142,121,98,79,77,77,69,57,59,57,66,67,70,70,66,62,66,74,102,139,149,136,92,68,69,68,67,54,65,65,78,72,68,64,59,58,64,73,94,130,154,154,90,61,61,55,61,50,70,75,89,80,72,67,62,61,63,69,83,114,155,172,92,58,56,45,53,43,69,77,90,82,75,71,66,58,52,51,70,99,155,189,78,65,55,52,47,44,55,70,82,80,74,66,59,54,52,52,62,88,146,183,80,62,50,51,55,55,61,69,83,81,75,67,58,52,49,50,58,87,142,177,82,61,46,51,63,66,64,64,78,75,72,64,57,53,51,51,58,91,143,172,84,65,50,52,63,68,66,65,67,67,65,62,57,54,54,55,53,92,140,165,87,74,62,58,59,61,65,68,64,64,63,61,57,54,54,54,49,91,130,147,90,85,77,67,60,58,64,69,69,70,68,64,59,54,52,51,62,100,127,133,90,93,90,80,68,63,65,70,75,76,73,68,63,57,54,53,80,112,121,113,91,95,97,88,75,68,68,69,76,76,75,72,67,62,60,59,79,106,104,87,100,100,99,94,81,70,69,74,63,65,76,88,81,61,56,63,71,86,91,91,98,97,97,95,87,77,75,78,68,68,79,92,85,65,60,68,72,87,95,97,99,96,97,101,98,91,87,85,74,74,84,96,88,71,65,73,71,87,107,121,105,101,102,108,111,106,97,92,78,78,88,98,91,74,70,78,76,92,124,150,1
184,139,142,140,136,151,146,151,172,180,163,170,168,138,146,175,175,180,183,181,148,127,144,142,132,141,139,141,150,158,152,174,182,144,124,125,161,170,182,190,120,123,144,136,122,132,141,150,149,144,133,164,185,161,137,122,132,139,150,160,104,125,145,135,123,132,144,149,150,141,127,154,177,168,157,141,145,143,140,140,100,129,138,131,124,125,128,124,125,126,126,150,159,149,148,133,168,161,151,144,123,138,113,95,94,95,106,105,96,102,108,125,125,127,147,141,161,160,157,153,135,137,89,65,69,68,87,95,86,85,83,93,93,113,156,158,148,151,154,154,116,125,83,73,78,66,75,77,85,80,75,84,84,108,150,147,125,129,131,129,112,107,75,68,62,47,57,67,89,79,72,92,93,81,111,141,133,138,137,128,146,126,80,67,61,44,49,57,92,86,80,96,90,74,102,131,135,144,151,150,183,149,91,71,63,40,41,49,79,80,76,87,76,59,90,119,114,121,128,130,209,175,113,90,75,47,46,52,61,67,63,72,60,50,89,120,123,123,122,120,213,191,139,112,91,58,54,56,53,59,54,59,52,54,97,129,135,133,131,130,192,187,147,119,95,63,55,50,51,56,44,48,47,57,102,129,121,120,125,133,164,174,144,118,99,76,65,50,53,55,40,43,51,65,107,126,123,121,126,136,151,169,145,122,111,97,84,63,57,58,43,48,60,79,116,130,138,130,128,134,154,149,158,131,142,137,110,76,68,59,44,51,80,102,111,122,128,127,125,123,149,147,165,148,160,153,133,111,74,75,74,83,102,109,110,114,120,119,118,116,158,150,167,149,151,136,125,123,108,118,128,132,134,132,129,129,118,119,119,120,171,153,161,135,124,102,105,122,123,132,144,139,125,122,129,130,117,120,123,127,1
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79,89,95,92,90,97,106,112,105,120,142,166,187,200,202,200,193,193,193,196,84,88,86,83,83,87,89,89,81,88,103,126,153,177,189,194,189,186,184,183,94,92,87,81,81,81,74,66,61,60,65,82,110,143,170,185,180,177,172,169,101,101,97,90,85,79,68,58,52,48,47,57,76,105,140,166,173,171,167,161,100,105,104,94,81,71,63,55,46,45,46,49,55,73,108,137,167,171,170,164,97,104,101,83,64,54,51,49,46,49,55,58,55,61,86,113,153,166,170,164,105,105,93,68,46,38,40,42,53,52,57,64,61,58,68,85,127,147,159,154,118,110,88,58,36,30,35,39,54,50,53,60,59,50,50,59,101,127,145,142,133,123,93,54,37,41,44,36,53,55,62,67,63,54,52,57,84,111,136,139,135,124,107,85,54,29,32,48,52,55,63,69,67,59,57,60,78,106,132,137,134,128,116,94,56,26,28,47,47,51,59,67,68,65,64,66,73,102,129,138,139,140,122,84,51,38,38,40,44,47,54,60,62,64,69,72,70,100,130,139,153,154,140,104,66,45,41,42,52,55,58,56,55,59,67,73,70,99,129,138,164,158,154,143,99,49,32,45,60,67,68,60,52,55,65,73,75,104,131,138,178,163,159,161,135,83,47,39,54,67,73,64,52,54,66,75,86,114,139,144,194,177,160,159,159,133,80,32,39,59,71,64,53,55,67,79,99,125,148,151,215,201,178,166,166,153,110,64,35,37,49,64,65,58,63,77,102,129,152,154,209,198,185,180,176,157,122,93,55,46,42,46,44,43,61,84,110,131,148,149,218,208,202,199,182,147,118,105,93,77,65,59,55,60,87,117,128,141,147,142,231,214,210,211,185,135,105,102,117,104,94,91,88,92,119,149,149,152,148,136,1
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96,102,98,82,74,80,88,90,92,90,84,77,75,79,81,80,59,60,68,78,98,98,94,85,80,83,85,86,93,93,87,78,75,76,73,69,66,65,68,75,100,96,93,94,93,89,87,88,100,101,96,89,83,81,75,68,70,66,64,67,97,93,97,104,101,92,91,97,113,113,110,105,102,99,91,81,73,69,65,65,90,93,101,109,103,94,98,111,125,125,122,117,116,113,105,94,86,80,74,72,100,108,117,118,110,106,116,129,133,133,129,126,126,126,119,109,99,97,90,83,115,123,127,120,116,120,131,140,137,137,134,134,140,146,143,136,119,120,115,105,121,128,125,114,112,124,134,136,139,139,138,142,154,166,168,163,138,142,141,131,113,116,129,146,154,150,150,153,136,143,148,150,159,173,181,180,160,150,144,147,120,125,134,145,154,160,164,166,154,159,163,168,176,186,186,181,171,160,151,152,135,141,141,137,143,156,164,162,166,169,172,179,188,193,186,175,172,162,153,152,139,147,141,127,131,151,162,158,161,159,162,172,186,189,179,168,160,156,151,150,129,139,135,121,127,153,166,161,146,142,145,159,175,181,173,164,155,153,147,143,118,128,126,115,120,139,148,141,131,126,130,148,166,172,168,163,161,155,142,128,112,120,121,115,116,124,124,117,117,113,120,139,156,160,156,153,160,157,147,134,104,112,118,119,121,124,122,114,105,104,113,133,148,150,144,142,150,158,162,161,95,98,105,115,125,131,133,133,130,122,126,134,139,146,144,130,138,145,151,152,84,85,90,98,107,116,122,124,124,119,124,129,131,139,141,129,118,125,129,129,76,75,75,79,87,96,103,106,106,105,112,113,111,121,128,120,112,117,118,114,76,73,71,72,77,82,87,89,91,94,101,99,93,105,116,112,119,121,121,114,0
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163,146,146,167,173,154,144,150,132,127,128,139,153,163,170,176,166,162,162,167,173,157,152,162,162,148,139,139,127,125,128,135,140,145,156,165,158,156,159,166,169,163,160,158,153,145,138,137,130,130,132,133,129,131,143,158,160,159,163,172,168,180,183,172,159,151,147,143,142,140,137,134,129,130,143,157,153,154,162,173,173,198,212,197,174,164,161,158,161,153,145,144,143,147,155,164,138,140,149,163,155,183,202,194,177,173,176,177,178,169,163,166,170,171,172,173,149,148,152,161,137,154,168,165,162,167,176,181,174,170,171,178,183,179,171,167,167,161,158,160,143,147,147,145,147,154,163,168,155,157,166,176,178,168,155,149,162,155,152,153,158,148,153,152,142,150,156,139,139,145,155,163,165,157,144,134,151,157,162,162,155,152,159,157,144,147,152,138,148,144,143,149,156,154,142,129,151,155,161,167,136,137,146,147,140,146,155,152,147,144,141,141,144,146,146,144,152,151,151,155,118,125,139,147,150,152,151,148,130,141,151,150,143,147,164,181,169,161,152,147,141,147,154,163,172,165,151,144,140,155,168,168,162,165,182,199,187,182,173,166,184,174,156,152,167,172,173,183,186,187,187,186,183,179,175,173,181,181,181,179,172,160,133,126,146,161,176,202,200,198,193,192,188,179,166,156,173,172,172,175,120,126,117,122,143,144,146,168,169,178,186,188,184,178,175,174,182,174,167,169,106,117,128,136,149,163,165,158,158,163,172,179,175,169,173,182,183,175,167,165,112,123,133,142,157,174,178,172,156,155,154,154,150,151,163,177,181,173,163,160,143,149,151,152,159,170,169,160,154,151,147,143,140,142,156,169,167,157,145,138,174,173,166,156,154,157,150,138,144,148,151,151,148,146,150,154,154,142,127,117,0
172,180,194,198,196,204,205,191,192,185,172,156,141,126,109,96,97,119,128,115,173,172,181,187,186,193,196,185,183,180,171,160,145,125,102,83,80,92,91,76,176,164,168,179,183,188,191,184,184,178,172,165,149,125,94,73,58,61,54,40,172,155,157,176,186,189,189,182,181,170,157,147,131,106,79,61,42,46,45,38,165,149,154,177,189,190,183,171,161,142,120,105,88,69,54,46,40,46,50,50,171,160,167,183,191,188,173,153,126,106,83,68,55,41,37,41,50,51,53,52,183,176,178,183,181,173,151,121,87,72,59,52,43,33,35,45,48,45,48,55,186,180,179,173,163,152,125,89,56,48,45,46,40,32,35,46,29,29,41,65,177,177,170,154,134,112,83,60,56,54,49,41,36,36,36,35,27,48,73,89,163,164,155,134,110,89,69,55,57,50,41,34,30,30,34,38,59,76,97,108,151,150,136,109,82,64,54,51,46,34,25,26,30,38,52,68,84,98,115,123,145,136,117,89,63,48,45,47,39,26,18,25,37,50,73,95,97,109,123,133,134,120,96,72,51,40,38,41,40,29,24,31,44,59,82,103,111,118,128,135,118,104,84,64,47,36,34,36,34,34,35,42,57,79,99,111,115,117,119,121,107,99,86,71,52,38,35,42,38,50,59,66,83,107,121,123,120,118,115,114,102,100,96,83,62,43,42,52,57,76,87,89,103,126,133,126,132,129,126,125,130,119,90,79,84,70,56,68,79,77,84,96,110,132,138,125,127,143,139,124,121,114,96,94,106,97,88,99,93,89,97,110,118,130,136,129,129,137,123,102,104,99,92,101,117,115,109,119,107,100,111,126,125,124,129,130,129,127,104,78,94,87,84,98,113,114,114,120,112,104,117,135,126,114,119,127,128,119,90,66,1
182,147,158,155,131,123,182,194,184,179,178,148,140,150,144,168,161,118,113,140,196,149,150,156,146,127,171,193,191,165,156,141,138,138,130,158,170,145,129,125,178,161,160,134,113,86,118,152,164,137,145,166,173,154,129,141,178,184,167,139,152,168,161,91,68,57,70,87,106,96,125,168,182,163,138,132,157,183,180,161,155,157,136,61,64,70,57,54,63,64,86,116,124,128,133,121,103,133,145,152,162,143,128,63,64,60,42,54,49,58,70,81,76,92,117,98,70,91,116,138,167,146,142,71,56,51,39,57,57,67,75,83,66,76,104,79,66,88,124,146,178,156,148,68,62,82,65,53,70,70,70,78,58,63,100,78,65,94,142,162,180,178,154,95,53,70,80,50,68,59,60,71,75,72,78,91,78,117,156,168,187,204,198,146,89,72,68,55,53,50,56,69,80,85,89,92,90,121,152,163,168,192,197,170,127,87,65,68,55,56,66,87,104,110,108,106,108,124,140,148,158,163,160,162,158,115,77,78,56,50,62,91,106,102,104,115,134,136,138,141,171,159,151,169,181,137,86,77,70,47,49,79,89,82,104,143,157,151,147,151,165,158,162,181,183,142,95,80,78,47,38,60,70,73,113,168,153,148,147,155,156,152,167,186,178,153,124,101,76,55,46,60,73,90,127,167,145,143,148,159,170,161,175,190,183,175,158,128,96,91,89,99,116,138,162,178,152,155,163,175,167,180,201,202,191,197,177,126,116,152,178,152,134,151,158,163,175,179,188,195,178,183,199,203,204,219,202,151,126,151,173,153,139,150,150,153,185,188,194,198,188,183,190,195,202,223,208,158,138,150,168,158,147,149,140,143,176,179,181,180,195,185,187,189,191,208,192,143,143,149,169,166,154,146,134,142,162,164,163,159,1
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190,168,165,163,162,194,211,180,142,144,154,173,178,163,164,187,161,138,156,194,172,155,156,170,182,203,201,170,121,127,128,138,156,170,178,185,165,147,153,180,152,144,150,175,195,191,166,140,85,91,87,88,120,166,185,176,147,140,134,142,144,143,151,173,179,146,108,95,58,57,55,56,88,143,169,158,141,153,146,139,149,151,157,163,143,93,59,60,49,39,40,48,66,108,137,132,131,156,159,153,163,154,154,147,110,63,44,49,47,31,35,44,49,82,115,116,116,142,159,162,178,151,141,129,87,57,53,50,49,33,41,47,49,90,132,132,136,145,162,172,189,146,128,114,76,61,64,51,57,45,53,56,63,119,169,166,153,145,157,168,195,159,116,119,74,34,66,51,52,67,60,63,74,150,171,157,138,157,164,153,211,186,129,110,71,40,65,53,50,59,59,67,72,136,159,144,139,152,158,154,207,204,148,114,89,67,74,59,52,50,61,77,74,123,150,136,143,145,149,151,210,225,167,116,105,94,84,69,55,44,64,83,79,114,147,142,150,141,138,144,227,242,182,118,110,101,79,64,57,46,67,83,85,108,147,156,164,148,138,140,210,226,188,141,134,113,70,47,62,61,81,86,98,109,147,169,175,160,147,143,187,198,184,160,154,128,76,52,62,76,89,82,105,104,136,166,176,167,157,148,202,193,175,153,146,126,88,76,53,77,87,71,100,92,117,151,171,168,161,150,191,190,172,145,133,135,131,118,85,88,90,81,66,75,121,169,173,161,160,162,165,168,160,144,144,157,161,154,116,125,124,94,55,58,120,188,180,171,169,168,149,154,148,139,143,159,167,163,140,162,172,143,93,78,127,186,177,172,167,163,151,152,145,136,138,151,157,154,152,176,195,180,141,118,138,171,167,169,161,153,1
139,137,131,124,121,120,124,129,117,117,118,117,114,112,119,128,115,114,114,118,128,126,124,122,123,126,128,130,121,117,114,118,121,119,121,123,108,109,111,114,121,120,120,122,127,130,130,129,128,119,112,118,125,124,115,108,101,105,110,114,126,122,119,121,128,131,130,126,131,121,114,118,123,118,103,92,99,105,112,115,125,120,115,117,123,129,130,127,126,119,115,117,118,109,97,89,102,107,114,116,117,114,111,115,121,130,134,134,123,118,116,119,118,110,102,98,109,111,114,116,111,112,116,120,127,134,138,141,132,124,119,123,124,119,113,109,121,120,118,118,114,118,125,131,135,140,143,147,147,135,126,128,132,128,120,115,133,129,125,124,143,131,130,142,149,143,139,142,146,141,135,132,131,132,131,128,134,134,133,132,149,140,140,151,156,151,150,155,149,143,136,133,135,136,134,132,138,138,137,135,153,148,151,158,161,158,159,165,161,152,143,139,141,143,139,135,140,139,137,135,157,156,159,164,163,158,161,168,168,157,146,142,143,144,139,134,143,139,135,131,164,166,170,171,166,160,160,165,162,153,142,138,140,142,140,136,144,137,128,123,173,176,180,178,172,166,162,163,158,152,144,142,143,145,147,148,144,135,124,116,177,180,184,183,179,172,164,159,156,153,148,143,141,144,147,151,139,132,122,119,176,180,183,184,180,174,165,158,153,150,145,137,133,132,136,142,131,126,122,125,162,162,163,165,167,168,168,166,156,148,141,140,141,139,135,132,122,129,138,142,143,143,145,150,154,157,158,158,155,149,146,147,148,143,137,131,123,128,136,137,126,128,131,135,139,142,144,146,154,152,153,154,154,149,140,131,118,123,126,126,126,127,131,131,133,133,134,135,153,155,157,156,155,151,142,132,119,120,121,120,0
117,119,142,157,154,162,165,145,170,178,159,145,151,131,117,139,138,139,118,114,166,160,176,189,167,153,154,152,175,192,181,155,148,142,136,145,135,143,130,129,189,173,184,205,193,169,163,167,172,182,170,141,136,152,152,137,127,139,134,138,167,150,158,189,208,202,186,175,151,136,116,104,117,148,153,129,121,128,121,128,144,140,138,153,182,193,172,149,110,83,66,71,91,121,141,140,124,122,108,115,138,153,140,123,133,140,116,88,57,45,39,48,60,77,112,150,133,125,106,113,139,161,148,122,126,119,77,41,25,32,30,32,42,48,84,141,137,128,108,114,139,158,149,140,159,142,80,30,22,39,29,26,43,48,73,126,138,131,112,115,173,174,165,157,153,158,77,45,25,28,29,37,34,53,61,135,143,139,133,127,153,184,172,141,148,177,101,46,29,35,30,32,31,46,62,147,144,143,145,149,123,150,129,109,142,168,89,29,34,44,31,28,32,40,67,165,153,151,153,160,112,101,83,114,165,141,53,16,30,47,31,23,36,38,78,176,156,152,149,149,111,92,102,169,205,125,42,22,24,41,27,19,37,40,87,164,136,138,138,136,96,102,139,194,200,113,58,34,32,43,30,21,41,49,99,141,111,120,128,131,101,107,137,166,165,115,105,69,64,64,52,39,57,69,122,124,110,115,119,121,138,115,118,135,148,135,160,119,97,86,74,59,73,90,144,120,126,121,113,106,123,103,138,167,170,180,167,143,118,126,105,80,94,123,132,128,130,133,123,105,143,124,151,161,155,167,155,132,128,141,126,101,107,130,136,132,125,131,128,116,146,134,149,137,124,140,133,111,111,133,129,113,121,141,145,143,124,132,135,130,133,131,140,113,99,121,118,100,112,136,142,137,153,170,172,168,127,134,137,135,1
157,150,147,154,162,164,162,160,173,171,176,187,193,193,199,205,199,202,204,203,174,159,147,151,158,159,155,151,165,170,180,190,194,196,201,208,204,206,206,206,181,169,157,151,150,148,152,157,160,173,186,192,193,197,202,205,206,206,207,207,173,171,166,153,138,133,146,162,168,182,193,194,193,197,202,202,208,207,207,205,167,162,157,152,146,144,151,162,179,186,192,194,195,200,204,205,208,209,209,207,161,147,141,154,170,178,171,164,164,161,165,179,191,199,202,205,206,209,211,210,159,146,143,157,172,171,152,134,113,103,111,144,174,186,190,195,200,202,206,209,162,159,157,157,148,124,98,82,65,50,62,111,155,169,174,181,191,196,200,204,180,191,185,147,96,59,43,38,57,62,74,95,119,136,142,143,156,173,190,196,180,179,159,113,67,41,39,43,52,54,60,74,92,108,119,124,141,160,177,185,170,157,124,81,49,41,52,63,76,72,67,63,63,71,81,89,111,130,149,157,149,123,85,53,40,45,57,68,73,72,66,58,52,57,69,81,91,109,126,133,165,130,83,52,44,48,55,58,57,58,58,50,42,43,53,65,71,89,106,111,191,153,103,67,50,44,42,44,40,48,56,58,54,56,65,75,88,104,120,126,180,156,125,98,73,57,51,55,51,66,86,101,111,122,135,146,145,159,172,174,178,175,169,155,131,111,106,112,126,137,152,161,164,167,173,179,167,179,187,185,152,162,183,201,171,138,141,128,153,158,165,163,152,142,144,153,137,143,147,147,141,137,146,166,151,136,147,136,137,147,163,171,163,151,144,146,127,128,127,122,146,128,122,142,142,147,168,157,145,154,168,180,177,164,154,152,156,155,148,139,162,139,124,141,148,162,189,179,171,170,173,176,174,166,162,163,170,168,162,153,1
140,142,145,145,138,132,130,133,137,128,121,119,119,121,126,132,153,149,142,147,141,139,136,131,125,121,122,125,113,109,106,109,114,121,133,144,139,137,131,133,137,132,125,117,113,111,112,114,102,99,98,99,98,102,117,131,117,123,124,130,127,127,123,115,108,104,98,94,91,90,86,81,73,73,86,101,126,138,138,136,124,129,128,118,106,93,78,65,59,60,59,55,48,47,62,79,109,128,133,126,129,136,131,111,88,70,52,38,31,33,34,32,28,29,42,58,83,111,123,118,132,135,121,89,59,43,34,26,26,26,27,26,21,20,30,42,91,123,134,122,133,132,110,68,36,26,27,27,26,26,27,28,25,25,32,42,75,111,126,116,118,118,103,70,43,35,32,27,26,26,29,30,29,28,35,45,81,99,116,121,121,120,103,71,46,37,35,33,27,28,31,34,33,33,40,49,78,100,118,118,125,123,107,77,55,46,42,40,31,32,35,37,38,39,47,56,75,104,125,123,123,123,112,90,70,59,52,47,39,37,37,40,44,48,59,69,87,117,136,129,117,119,115,102,85,72,60,53,42,40,39,45,53,63,78,91,104,127,137,125,108,112,114,109,97,82,68,61,46,45,47,57,70,83,99,113,109,122,128,122,106,110,115,115,108,93,80,73,57,57,62,76,88,100,111,120,110,115,121,125,109,112,117,120,114,102,91,85,69,70,77,91,101,107,112,118,117,116,121,130,109,114,114,109,105,106,106,101,88,91,96,100,105,110,115,118,127,131,132,128,113,118,118,114,110,110,110,106,91,96,102,109,115,121,125,128,128,132,133,129,115,120,120,117,113,112,110,108,93,99,108,118,126,131,135,135,130,134,135,131,113,117,117,116,112,109,107,105,93,98,110,122,131,134,135,133,131,135,136,132,1
143,129,121,112,96,99,117,127,128,107,98,136,132,102,119,128,125,97,66,51,143,126,117,113,109,113,122,126,119,121,118,131,117,101,134,150,132,113,94,84,141,125,114,117,125,129,127,124,135,137,122,122,127,139,163,164,125,119,114,113,136,126,116,121,134,134,123,120,137,133,115,117,141,162,169,164,131,128,129,132,127,128,120,122,133,126,114,118,118,117,113,117,134,138,135,149,148,141,136,137,119,130,123,121,131,121,111,126,129,118,111,113,134,129,107,127,128,123,121,124,119,134,127,123,137,129,122,145,157,141,125,114,137,138,112,134,102,107,117,127,124,141,132,129,148,142,137,163,160,166,159,126,129,132,123,166,110,123,142,153,138,122,133,136,146,149,142,176,179,166,153,135,145,164,166,185,147,136,132,140,133,122,132,136,152,160,154,183,164,165,159,139,154,178,170,172,158,143,134,141,137,132,134,132,145,154,150,168,177,184,179,151,161,185,166,153,161,149,142,147,138,141,136,128,135,142,146,161,164,171,169,145,154,174,159,153,140,137,142,153,129,139,131,127,131,137,154,173,176,175,174,157,158,160,141,145,109,121,136,148,125,135,122,123,126,122,142,160,166,164,169,159,161,156,132,135,111,121,135,142,134,135,114,123,125,106,118,128,102,107,115,113,137,157,140,137,134,135,135,132,141,136,111,127,133,107,110,113,104,107,103,90,121,157,142,128,151,141,127,119,141,131,116,121,124,115,121,122,127,127,118,110,123,148,156,146,126,110,112,126,143,132,120,125,128,120,122,124,134,130,122,119,133,153,161,156,138,121,121,132,145,133,126,130,134,128,123,125,128,120,113,118,131,145,154,156,150,131,127,135,146,130,131,133,138,134,121,124,117,105,100,111,124,132,142,151,153,132,127,133,0
111,141,154,139,130,141,149,143,124,130,124,115,111,97,83,84,85,85,90,89,131,145,148,135,129,138,145,142,133,142,139,127,118,101,90,94,69,68,77,81,156,153,145,136,134,140,148,150,132,144,143,130,116,97,88,94,69,62,70,78,159,147,136,133,132,132,140,149,151,162,160,148,137,121,112,118,92,73,72,81,147,135,128,130,126,120,124,135,157,164,159,151,148,138,130,134,107,79,69,75,148,139,137,142,140,131,129,136,141,146,140,134,137,133,127,133,105,79,67,69,148,140,140,151,159,155,147,144,142,149,145,140,141,140,140,151,109,94,87,84,132,125,125,141,159,162,152,142,143,153,152,145,142,142,147,164,121,117,116,107,112,101,108,135,149,140,132,135,126,147,158,146,133,140,155,163,142,127,106,95,126,117,123,145,153,139,125,124,120,134,139,132,128,136,143,143,130,121,106,94,144,138,145,160,163,146,131,126,126,128,123,118,122,130,129,122,127,123,115,106,145,145,151,163,165,153,143,138,139,130,114,106,110,118,117,110,134,129,124,121,136,140,145,152,154,152,149,147,143,131,111,98,99,108,114,115,141,131,124,126,138,143,147,147,148,152,155,154,147,136,121,109,109,118,128,135,147,130,119,124,142,150,154,150,150,155,160,159,151,144,136,132,133,137,143,147,145,126,115,120,140,151,155,150,148,155,159,157,151,146,144,145,147,147,145,144,135,118,108,114,135,136,147,160,158,147,148,156,165,156,151,145,139,146,149,136,131,120,115,122,132,135,144,153,154,150,150,153,157,152,150,146,138,142,143,132,127,118,116,125,128,133,138,143,148,153,154,148,147,146,151,149,138,136,136,126,121,117,120,129,124,132,134,134,143,156,156,144,139,141,152,153,140,132,131,122,119,119,124,135,0
209,208,207,210,210,206,198,191,200,192,184,188,171,164,166,134,142,141,146,154,208,209,210,212,210,205,197,191,194,187,181,188,176,171,175,144,146,145,148,153,207,210,213,213,208,201,195,191,188,184,182,191,179,178,189,163,139,139,144,149,208,210,213,209,202,197,196,195,188,187,189,193,180,181,202,187,142,145,148,151,210,211,210,205,199,196,199,202,192,195,196,198,178,180,210,203,157,160,161,158,208,207,205,201,198,198,201,205,198,200,199,199,179,182,212,203,150,155,157,155,197,196,194,195,196,197,198,197,201,198,194,199,186,189,209,191,146,152,154,151,185,184,185,189,193,194,191,188,202,194,188,197,192,195,206,180,164,168,165,156,183,172,183,191,182,186,195,188,211,200,184,189,196,194,201,201,187,175,150,140,182,173,182,188,180,184,194,187,186,188,190,199,201,199,208,215,179,168,146,135,180,175,180,181,174,179,188,185,177,180,188,198,204,206,210,215,177,171,152,141,177,178,177,173,168,173,180,180,189,177,178,183,197,205,192,186,177,177,162,150,180,186,182,172,169,172,176,180,183,169,177,174,181,186,161,154,165,168,157,145,185,198,191,176,174,175,175,180,156,157,185,174,167,169,144,147,151,159,149,133,188,205,196,177,177,175,171,178,151,153,185,170,164,176,155,168,161,171,160,141,187,207,197,176,176,172,166,174,169,156,178,160,166,193,177,190,184,194,183,160,194,197,191,189,169,158,176,174,170,161,163,163,169,174,165,161,166,194,196,176,193,192,186,186,168,158,175,172,176,175,176,172,166,161,150,147,156,177,183,175,196,190,181,186,173,163,177,172,172,181,187,186,177,169,167,166,169,178,190,198,201,192,181,190,182,172,183,176,167,180,185,193,190,184,192,191,190,187,204,227,0
107,118,123,116,111,118,123,122,134,127,113,96,82,70,63,60,64,57,66,87,107,108,119,135,138,125,109,104,110,104,96,89,91,99,110,118,112,121,136,147,107,94,104,136,143,111,80,72,65,60,55,54,61,76,92,102,112,136,158,163,114,97,98,114,110,79,56,54,51,50,48,48,50,55,59,62,71,93,117,129,115,109,101,91,75,58,51,53,49,51,52,54,56,56,57,57,53,59,81,106,108,110,98,72,53,49,51,52,40,40,40,41,44,48,52,55,54,50,64,94,113,105,84,58,45,46,48,46,44,42,41,40,42,45,50,53,53,52,60,75,131,106,74,52,45,48,47,45,41,43,44,45,45,45,45,45,54,61,65,66,111,109,73,42,52,59,52,52,51,43,41,47,50,44,39,38,56,67,83,94,107,105,74,54,63,63,43,31,48,42,39,41,42,41,40,41,63,74,89,101,104,99,72,50,50,49,40,35,40,40,37,32,33,37,42,44,56,71,89,99,87,86,72,52,38,34,38,46,35,41,40,32,30,36,44,47,41,68,96,108,76,72,70,66,53,41,37,33,37,42,42,35,30,33,40,45,49,89,128,138,106,79,69,71,66,59,49,34,42,40,39,38,35,34,42,52,90,128,158,157,136,102,87,88,77,71,70,60,59,51,50,59,63,63,76,94,130,156,165,146,132,112,118,122,96,79,80,77,86,71,71,89,101,105,124,151,149,164,159,134,130,149,139,146,111,93,86,90,98,100,102,106,113,124,135,142,142,146,144,136,129,143,136,158,142,136,132,131,122,120,115,109,105,105,108,111,126,129,128,122,138,144,130,159,159,162,150,140,123,121,114,107,101,99,100,102,109,111,111,109,145,144,125,153,156,156,139,121,107,107,105,103,102,104,109,113,103,104,103,104,1
132,128,157,158,153,148,128,144,144,187,220,222,220,217,198,169,156,142,128,126,144,131,146,159,154,139,138,167,205,212,213,209,207,209,208,205,170,144,123,123,148,131,127,152,150,131,158,198,229,215,206,210,209,201,200,209,190,157,128,122,139,133,115,140,142,133,182,217,214,206,206,214,213,200,192,196,199,174,142,120,131,140,121,127,131,144,196,216,207,213,214,209,205,201,198,196,194,187,158,121,134,148,134,117,123,154,193,200,201,215,218,208,201,203,198,187,192,193,172,137,139,143,137,109,114,156,178,186,195,205,208,202,200,201,191,176,190,183,169,156,139,132,132,101,108,154,165,180,207,199,190,186,190,195,194,188,184,165,155,163,148,152,127,130,129,117,148,170,198,197,188,186,196,195,189,193,178,159,152,155,138,140,120,133,135,112,120,131,186,198,199,193,197,193,187,187,168,152,149,154,123,123,120,149,163,137,128,131,156,187,200,190,186,181,173,171,166,152,150,153,124,124,135,169,189,169,152,157,126,169,190,178,168,162,157,156,167,156,155,157,149,148,157,175,184,167,146,154,122,164,184,171,161,157,155,156,160,152,157,162,166,166,173,169,168,155,129,134,138,170,182,172,165,161,159,163,155,147,153,160,162,166,176,162,162,157,124,122,147,166,169,163,161,155,149,153,152,143,147,155,150,159,174,157,161,162,121,109,145,153,151,148,149,140,131,134,145,137,143,155,140,151,150,149,137,132,143,127,128,148,157,153,142,129,128,144,155,150,147,148,137,148,146,145,134,131,143,127,136,156,164,158,146,130,128,141,153,148,145,144,139,147,144,143,133,133,146,131,139,158,162,150,132,114,108,119,119,118,120,125,144,151,146,146,137,138,154,138,141,157,154,133,111,91,85,95,89,91,99,110,0
167,199,220,212,204,205,200,188,193,190,165,162,184,171,137,129,128,149,167,185,170,198,218,214,204,200,191,181,191,167,146,139,148,163,164,151,143,143,157,181,178,199,219,221,212,201,189,181,176,131,108,98,92,130,170,166,150,122,134,170,174,190,211,221,215,200,188,181,161,112,77,62,56,85,136,165,164,118,129,171,154,170,191,206,205,194,182,174,155,115,67,51,53,50,84,146,176,134,146,184,142,160,183,195,199,196,184,171,146,112,62,49,55,33,45,106,145,130,149,180,146,168,188,195,200,203,192,174,133,93,55,47,46,35,37,58,93,113,140,157,151,175,192,195,201,208,196,174,127,78,52,47,39,47,52,31,70,110,138,140,158,165,208,203,191,212,198,183,124,75,54,43,38,45,45,56,72,114,133,131,154,167,201,202,193,203,189,163,114,75,63,55,50,52,47,57,55,92,124,138,153,171,184,191,187,187,182,146,103,75,70,67,69,67,56,63,59,82,121,144,155,176,165,173,176,175,180,147,108,81,73,72,86,88,70,74,80,85,114,134,151,176,162,165,173,174,181,154,125,97,74,66,87,93,73,80,93,90,105,112,145,173,171,166,174,176,172,160,142,119,86,60,72,79,68,92,118,115,113,103,144,169,178,158,163,170,157,163,164,156,126,80,72,75,84,134,171,170,139,102,147,166,177,144,145,159,144,164,188,195,172,114,90,92,117,187,219,216,162,99,144,162,179,146,140,131,158,164,191,214,186,137,134,156,172,184,202,195,152,87,154,169,187,160,146,126,142,148,169,186,170,153,172,186,175,165,176,177,144,86,164,174,192,177,156,123,126,134,138,155,155,166,197,196,167,151,164,173,151,100,166,173,189,188,162,124,120,134,124,145,157,176,197,182,158,159,170,184,167,117,1
131,129,132,181,202,164,166,203,191,193,204,189,179,178,166,168,132,144,185,169,121,125,129,176,199,170,177,209,218,208,214,205,192,181,166,176,126,113,141,136,120,126,133,173,197,184,194,213,231,214,219,214,201,185,174,194,142,98,105,102,125,128,130,164,190,193,206,210,216,208,215,204,192,189,189,213,158,106,99,84,127,123,119,150,179,195,214,207,198,204,212,188,175,188,198,216,178,141,134,104,131,122,117,145,171,195,223,215,195,204,210,182,171,192,199,209,185,165,165,126,131,120,119,143,157,180,220,222,198,196,200,186,187,203,201,206,170,159,169,134,125,116,116,136,139,158,205,215,196,182,188,191,204,215,206,210,180,170,191,168,129,108,114,139,144,145,173,206,201,195,174,193,208,224,209,213,168,162,201,198,155,144,140,151,158,144,152,187,195,205,196,213,218,227,208,208,160,172,212,197,147,146,130,150,186,160,119,129,182,201,194,198,194,207,197,203,160,196,231,197,140,157,140,154,199,170,117,125,169,194,190,190,182,199,188,190,163,214,246,202,144,176,165,150,160,138,128,167,175,204,207,217,212,218,190,178,157,210,250,217,145,167,167,152,145,144,159,188,202,220,214,223,220,223,190,176,156,194,241,231,165,158,167,169,164,188,213,205,217,220,202,209,206,208,181,177,167,172,215,216,175,152,167,167,144,182,230,218,208,212,200,215,211,206,174,171,176,152,182,184,176,165,186,151,108,162,225,231,212,204,201,214,215,188,172,186,164,142,155,162,168,158,170,136,110,162,209,212,218,213,206,211,212,192,179,189,177,146,145,145,171,165,164,132,128,175,201,203,216,215,204,198,198,187,177,181,184,152,153,157,176,178,169,138,148,190,200,204,208,214,202,188,187,183,172,169,175,155,172,189,0
132,140,133,138,163,167,159,166,185,163,157,156,147,155,159,141,145,150,152,146,120,131,135,135,138,132,128,132,139,132,151,170,161,151,147,136,154,153,146,137,103,110,122,122,109,110,123,131,147,129,127,130,120,123,151,176,155,148,138,131,105,106,128,139,128,134,150,147,142,133,127,121,115,123,146,166,142,133,126,127,123,121,144,165,164,165,160,138,126,137,135,126,132,145,145,138,142,128,118,120,128,120,125,140,151,155,145,127,129,139,123,109,132,159,154,136,155,136,121,122,115,115,111,119,138,142,133,128,122,128,112,109,142,160,138,116,149,134,127,133,105,126,135,147,166,154,130,127,139,130,99,95,130,143,124,113,120,114,121,140,128,153,162,154,145,130,109,99,116,119,119,111,110,129,133,113,105,77,98,135,173,170,160,152,141,116,105,117,119,123,131,133,133,141,133,108,81,69,88,114,166,150,140,146,142,114,107,131,127,126,137,148,148,145,129,103,88,92,101,105,133,128,120,124,131,123,124,141,134,125,132,143,142,136,122,100,89,99,96,85,129,137,123,105,113,132,142,147,133,125,130,138,135,129,116,97,85,92,84,73,113,133,131,118,124,137,137,134,127,127,136,140,134,129,116,92,95,92,88,86,95,108,125,145,149,129,115,124,121,128,138,135,126,126,116,92,94,84,94,104,109,99,115,154,155,110,97,131,118,128,134,123,112,118,116,94,98,86,111,135,112,132,132,158,164,133,128,123,137,132,114,113,109,87,85,96,96,105,125,148,136,144,133,149,154,132,138,143,141,133,111,101,92,76,83,104,107,115,132,151,146,145,128,136,140,124,134,149,137,127,109,95,86,75,84,113,125,130,141,153,142,136,127,133,136,120,121,139,128,117,109,98,95,89,89,117,142,145,149,152,0
162,131,116,128,131,123,131,153,158,157,156,162,173,175,162,145,153,153,157,162,111,112,122,135,139,139,159,185,161,168,172,173,170,159,141,124,123,140,151,148,116,124,131,135,140,151,161,166,163,168,173,173,168,154,129,108,106,135,151,140,120,129,136,146,169,185,166,135,143,140,137,141,148,143,122,99,113,135,145,135,132,157,176,179,180,171,135,94,105,103,99,97,102,106,101,93,116,122,124,121,166,189,194,163,119,89,75,68,78,86,87,75,64,66,76,85,104,106,111,113,162,153,129,94,59,45,55,73,72,80,81,69,57,56,61,65,81,101,118,121,154,108,63,49,52,51,49,50,70,69,64,63,66,66,54,41,59,99,130,131,157,92,57,58,52,48,50,44,52,63,68,66,67,71,68,60,46,74,110,130,117,72,55,60,47,36,39,42,60,58,54,53,56,61,61,57,37,62,92,110,115,76,58,62,52,37,35,39,51,41,36,41,51,56,59,59,55,73,97,114,142,94,56,53,57,53,48,44,42,34,34,45,52,50,52,58,70,79,93,104,141,105,61,42,51,57,53,50,52,45,44,47,44,39,44,56,90,89,89,90,131,130,98,55,41,42,42,44,55,51,47,42,40,45,63,80,100,97,94,92,137,166,141,77,43,39,38,39,51,52,48,45,53,73,96,110,91,91,92,92,142,181,156,82,49,50,48,45,53,58,57,57,70,95,113,117,96,98,102,103,170,172,158,121,73,43,42,53,54,49,58,71,86,104,108,91,102,117,113,102,150,147,139,127,110,89,69,57,63,71,87,91,87,100,112,109,112,129,130,123,127,124,125,132,136,124,97,75,82,92,104,103,94,106,119,117,99,120,126,123,114,117,123,130,131,122,108,97,101,97,98,96,100,117,122,106,102,124,132,131,1
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77,70,65,80,102,91,58,40,48,75,73,70,88,81,69,87,90,83,81,76,64,58,61,89,115,99,64,49,61,80,73,69,93,98,90,103,124,112,109,108,56,62,75,95,103,76,47,42,46,60,48,45,79,107,117,128,151,136,135,141,64,85,96,88,73,49,36,40,45,56,45,41,74,114,139,153,152,139,146,161,91,108,97,65,53,53,50,50,48,60,59,52,67,94,114,126,134,129,143,160,126,116,75,37,43,60,55,44,40,53,63,62,58,65,77,84,109,114,131,141,138,106,53,25,35,46,41,37,55,56,66,68,57,55,68,80,95,108,125,124,126,90,45,29,34,31,34,50,70,56,53,52,35,34,54,70,97,115,131,122,132,95,67,41,38,54,53,54,73,64,69,63,42,41,54,49,80,115,115,110,164,136,84,36,46,65,62,83,87,85,82,70,55,55,53,41,70,109,108,98,166,158,105,45,56,63,45,70,76,86,81,71,69,64,51,43,67,103,100,90,147,147,120,68,55,57,43,55,49,64,61,57,59,44,34,50,84,102,93,97,146,135,139,100,57,63,69,67,65,69,63,61,55,35,46,92,119,114,99,119,141,126,155,137,78,68,68,49,75,64,57,59,55,49,82,134,154,141,121,142,127,121,153,149,108,82,58,42,58,45,47,55,59,77,108,129,158,157,134,139,124,121,135,136,126,104,76,82,74,66,77,87,98,126,140,123,139,152,129,117,134,132,111,128,143,138,145,127,117,126,109,125,138,142,112,113,113,101,92,91,129,130,120,142,160,161,172,160,126,144,133,138,129,112,71,71,85,74,66,66,120,122,118,137,150,146,153,149,147,163,139,122,91,73,49,64,77,67,60,62,132,131,132,143,145,136,135,134,163,174,136,100,60,51,44,73,67,57,51,53,1
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67,97,118,115,109,111,106,94,102,96,94,98,100,96,89,86,102,95,94,102,103,95,91,94,96,92,89,89,107,100,96,96,96,90,86,84,94,95,99,105,125,104,102,119,114,84,72,84,107,98,92,93,95,94,94,96,89,98,106,106,130,125,136,148,122,79,69,89,108,95,85,87,94,98,100,102,91,103,110,105,135,135,132,116,85,63,70,90,102,85,71,73,82,90,93,94,97,107,109,101,129,125,102,71,55,61,68,67,75,63,53,57,68,80,91,99,105,106,103,98,122,115,86,50,45,63,66,52,56,53,52,55,60,72,93,112,105,98,95,97,126,115,80,40,32,55,68,64,63,67,70,65,58,63,88,114,104,93,88,98,120,95,57,41,53,63,66,76,60,63,62,62,61,55,71,104,106,95,92,102,117,90,50,34,47,54,53,57,63,63,61,64,66,60,71,98,108,92,84,90,118,88,47,32,44,47,41,43,75,69,61,61,64,60,70,97,108,94,86,91,106,80,45,35,48,53,54,64,87,80,65,57,53,49,65,98,104,100,99,104,87,67,42,37,51,59,70,91,82,80,68,56,45,37,56,93,100,109,118,120,91,72,48,41,48,48,58,81,64,68,64,57,47,38,57,95,110,126,136,132,105,84,58,50,51,42,42,60,54,56,53,52,52,53,78,118,120,133,139,131,105,84,59,56,62,51,46,59,57,52,42,44,54,68,103,148,118,128,129,118,75,88,81,64,58,55,49,48,63,63,49,42,57,81,109,134,119,117,113,110,83,94,87,72,68,64,55,51,50,52,43,47,72,96,111,125,117,118,116,112,109,117,109,96,96,90,74,67,55,60,59,72,105,126,126,124,120,123,124,117,135,138,129,121,123,115,94,82,96,106,111,128,161,178,166,154,133,132,130,124,1
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130,132,136,139,143,147,149,151,149,152,155,152,144,129,114,105,109,107,97,86,131,129,128,129,131,134,137,138,140,141,143,142,138,132,125,120,126,122,112,100,135,128,120,116,116,121,123,124,122,123,124,126,127,129,132,132,136,132,123,113,136,126,114,106,107,112,115,117,110,110,109,110,114,118,123,126,128,123,115,108,133,124,111,103,102,106,110,113,108,108,105,103,104,105,105,108,106,101,97,93,131,125,116,108,103,101,104,108,111,110,106,101,97,94,92,90,87,81,79,81,137,136,131,120,108,100,100,103,112,109,104,97,90,86,82,80,75,70,68,73,146,148,144,132,115,102,99,101,109,105,100,91,85,79,77,76,70,65,64,69,167,157,149,144,129,109,103,110,115,106,93,84,79,77,76,74,73,63,67,75,188,176,165,159,143,122,108,106,102,97,88,79,75,74,75,75,73,65,70,78,198,181,167,163,152,133,113,104,94,92,87,80,74,71,73,75,72,65,73,83,188,169,153,149,149,137,118,106,96,97,93,86,76,71,71,72,70,65,76,88,171,152,131,128,131,128,115,105,98,98,95,89,79,71,69,70,67,64,78,93,156,137,116,106,107,106,99,91,90,90,88,82,76,70,68,67,64,65,81,96,154,138,117,101,94,92,86,81,85,83,79,75,71,69,66,63,64,66,85,102,161,149,130,111,99,94,89,86,86,81,75,71,70,68,63,59,64,67,88,106,178,175,164,149,134,121,105,93,94,85,76,73,69,64,64,66,59,72,89,100,203,202,196,184,170,157,139,125,121,111,98,91,82,73,68,68,66,78,92,103,212,214,212,207,200,188,169,153,148,136,121,109,96,83,74,73,75,85,99,108,205,207,209,209,206,198,182,166,155,143,128,115,102,88,81,78,83,92,103,111,1
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146,150,154,155,155,158,164,172,180,185,191,195,194,190,183,179,164,158,150,146,156,159,159,158,158,162,170,177,187,190,196,199,199,197,192,189,174,168,161,158,163,165,165,162,163,167,178,185,193,195,200,201,202,202,199,198,186,182,178,175,161,162,165,166,169,176,185,190,196,197,198,200,200,200,199,198,195,194,193,192,155,158,164,170,176,183,189,194,199,199,198,197,196,195,194,194,197,199,200,201,159,162,168,175,183,189,193,196,202,200,199,198,197,196,195,194,197,200,203,205,177,177,179,184,188,193,196,197,200,200,200,199,198,197,196,195,199,202,205,206,193,191,188,189,192,195,197,198,197,199,199,199,199,198,197,196,201,204,206,206,206,203,201,202,204,203,198,196,195,193,191,193,197,199,198,197,203,204,204,203,206,204,203,204,206,205,202,199,197,194,190,191,195,199,200,200,202,204,204,203,202,201,200,203,205,204,203,201,198,194,189,189,191,195,198,199,200,201,203,202,195,195,197,198,199,200,199,199,197,195,191,189,189,190,192,192,192,194,196,196,189,191,193,195,196,196,197,197,197,197,196,196,192,189,187,187,183,186,188,189,187,190,193,194,194,194,196,197,199,200,201,200,195,190,187,186,179,182,186,187,184,187,191,192,191,191,192,194,197,198,199,197,192,188,187,188,180,184,188,190,179,183,186,188,187,186,187,190,192,194,193,191,186,184,186,189,184,188,193,195,185,185,186,186,186,185,184,184,186,189,192,189,184,182,184,188,188,188,189,191,184,184,184,184,184,184,184,183,185,188,190,189,184,182,185,188,189,188,187,188,183,183,183,183,183,183,183,183,186,189,192,191,188,187,190,193,191,188,186,184,184,184,183,183,184,184,185,185,190,192,195,195,194,194,197,199,194,190,185,182,0
137,137,137,137,136,132,127,123,120,117,114,111,110,113,115,117,122,122,121,118,144,143,141,140,138,134,129,126,118,116,113,113,114,116,115,113,124,127,129,130,147,146,143,139,135,132,130,127,115,111,109,111,115,115,111,106,114,120,128,134,141,140,137,133,128,125,124,125,113,108,104,105,110,110,103,96,98,106,119,129,131,131,129,125,120,118,119,122,116,109,102,102,105,105,100,94,92,101,113,123,122,124,123,119,114,112,114,117,116,110,104,103,105,106,103,98,91,97,106,112,115,118,118,113,107,103,105,107,108,107,106,106,108,108,105,102,94,97,100,103,111,113,114,109,101,96,96,99,97,100,104,107,109,108,105,103,102,102,102,101,108,107,105,103,101,100,99,99,98,101,106,109,110,109,109,109,115,114,113,111,108,107,105,104,103,101,100,99,99,102,105,108,109,110,113,115,124,123,123,122,107,107,108,107,106,104,102,101,101,102,104,105,107,110,115,119,131,132,133,133,108,109,111,112,110,108,106,104,103,103,102,101,102,106,112,118,126,128,132,135,111,112,114,114,113,111,108,107,103,103,101,100,99,102,107,112,114,117,123,128,114,113,114,114,112,110,108,106,104,104,104,102,101,102,105,108,107,110,116,120,114,113,112,111,108,107,106,104,104,106,108,109,108,108,110,111,110,112,115,118,114,112,110,108,106,104,102,102,104,108,111,114,114,114,114,115,117,118,119,120,115,116,115,114,110,109,109,109,115,115,116,117,118,119,121,122,126,127,128,128,125,126,126,124,121,120,120,121,120,120,120,121,121,122,123,124,128,129,131,131,130,131,131,131,128,128,128,129,123,122,122,122,121,122,122,123,126,128,130,132,125,127,127,128,126,126,127,128,122,121,120,119,118,117,117,118,120,123,126,129,0
65,97,119,126,125,113,106,114,118,102,88,97,118,114,95,89,117,104,108,120,93,121,136,140,141,120,108,123,124,121,113,117,122,114,107,116,118,107,117,132,114,139,136,129,134,113,96,115,113,117,118,123,127,114,108,119,122,117,134,156,124,146,128,107,118,108,86,93,82,77,71,79,97,100,104,119,125,126,150,178,126,145,127,105,117,112,81,65,52,40,23,23,43,63,91,121,118,124,155,186,117,124,121,114,113,95,59,30,34,35,27,22,22,27,50,86,104,115,150,183,124,103,110,124,99,60,33,17,36,43,40,36,30,19,28,53,97,111,150,186,148,102,110,135,93,37,25,30,50,42,26,23,31,33,43,64,100,114,157,191,151,93,90,112,74,29,24,32,40,35,32,31,32,38,55,69,111,128,142,188,146,99,94,101,64,26,19,15,35,34,31,26,20,24,40,58,103,133,147,171,145,109,97,94,66,41,30,16,24,28,29,27,20,21,35,50,110,154,168,167,152,111,88,86,72,56,41,26,28,29,31,31,29,30,39,50,102,146,163,152,166,113,74,71,69,50,31,20,41,33,26,29,36,45,57,68,101,135,156,149,172,121,75,67,67,49,26,19,40,29,21,30,50,73,93,106,120,141,161,155,152,124,86,70,76,71,55,46,42,38,43,61,82,102,117,127,127,140,151,133,119,115,91,73,85,96,89,80,56,64,81,100,112,115,114,116,135,146,147,113,125,100,88,90,86,84,86,82,88,95,91,102,124,119,112,129,127,132,135,121,143,109,87,80,73,75,82,83,104,111,104,104,119,118,111,122,122,120,122,115,173,132,96,79,68,73,87,93,105,116,109,102,115,128,130,133,118,105,105,107,195,150,109,85,72,76,93,101,100,114,110,97,110,137,149,147,119,98,94,103,1
207,210,208,204,206,214,215,209,207,210,215,219,223,225,225,225,215,215,216,217,199,210,214,206,204,210,211,205,206,207,210,212,214,214,214,214,208,208,208,208,180,205,219,210,202,207,210,205,206,206,206,205,205,205,205,204,209,209,208,207,163,197,220,214,204,207,211,208,209,208,207,204,204,204,203,203,209,208,208,207,158,188,214,216,208,208,210,207,209,207,206,206,204,206,205,206,203,203,203,203,158,177,201,213,214,209,206,206,205,205,205,205,206,206,206,205,202,203,203,204,155,159,179,206,218,212,207,208,203,204,205,206,207,206,205,204,207,207,207,208,150,144,161,199,221,217,210,213,204,206,207,209,209,208,205,203,207,207,206,206,138,115,123,173,217,224,216,214,214,211,209,211,209,204,200,201,197,194,192,193,107,99,97,118,159,201,225,233,216,211,210,213,212,201,186,177,168,166,163,162,111,101,87,83,103,141,180,201,228,224,220,212,195,174,158,152,139,139,139,139,124,100,81,76,70,71,97,128,167,170,167,151,124,105,107,120,114,117,118,115,127,105,84,71,55,43,54,76,75,80,86,87,82,86,102,120,132,135,132,123,158,152,128,93,70,66,66,62,53,54,65,86,109,124,134,141,153,159,157,146,168,176,167,141,116,103,90,74,82,84,94,110,124,130,133,136,136,145,146,137,128,140,161,174,158,125,101,95,115,124,135,134,123,114,120,132,125,136,137,126,111,104,112,128,137,143,138,126,148,153,151,141,135,134,125,111,111,118,146,141,107,98,104,120,132,145,147,138,131,133,133,133,146,162,166,159,119,112,128,126,132,122,123,136,150,170,180,174,141,136,131,133,152,177,190,188,160,135,140,141,143,133,131,140,153,176,190,184,162,156,145,139,150,172,187,190,174,139,140,144,0
191,186,148,145,158,146,144,149,154,154,174,192,222,203,204,214,211,204,197,199,192,189,151,141,152,148,148,147,137,127,145,174,223,220,222,224,212,202,195,196,185,182,148,138,148,147,151,144,118,91,98,130,189,199,208,206,183,178,184,200,177,166,139,143,151,143,147,144,100,61,57,76,126,148,179,188,163,152,155,172,184,159,140,158,159,137,139,137,83,42,37,43,75,109,175,209,205,175,151,149,198,171,155,172,162,136,134,124,78,41,40,35,46,81,169,219,214,190,163,153,207,187,170,173,157,141,138,110,81,47,50,40,37,63,150,197,174,171,164,157,205,196,179,167,148,147,145,103,81,48,57,49,42,59,139,177,179,187,184,172,201,194,183,180,164,156,150,104,83,64,52,53,53,73,133,196,201,198,189,178,202,205,200,191,169,161,155,110,82,70,53,46,59,96,143,176,183,185,184,178,206,211,204,192,173,170,159,104,68,74,62,44,58,107,154,173,178,180,182,182,207,208,193,181,171,177,162,95,53,75,78,56,53,96,158,197,181,171,164,165,200,205,191,175,161,168,163,107,63,78,86,73,59,81,152,218,207,177,155,155,195,205,196,174,143,147,163,131,85,80,86,88,73,75,137,212,223,182,150,152,198,200,183,159,129,134,158,138,82,75,87,99,79,64,117,193,206,164,135,142,209,190,159,140,121,131,151,127,61,68,92,106,75,51,101,182,202,166,144,156,186,174,152,125,113,128,134,116,65,49,108,115,76,45,97,157,186,176,167,167,176,169,149,120,103,119,133,124,75,43,85,91,63,43,94,148,187,179,173,175,164,161,144,111,90,108,133,134,98,46,67,69,56,51,102,149,181,177,178,187,158,154,135,101,82,105,136,142,118,54,61,59,54,59,112,154,169,171,180,195,1
195,188,184,184,187,187,189,193,172,153,135,140,155,149,141,149,145,149,151,149,162,179,192,190,182,179,185,191,169,163,151,151,156,148,143,153,154,153,153,153,167,185,191,178,169,178,192,197,158,169,169,163,160,153,152,164,148,143,138,137,175,181,169,151,154,175,179,165,142,162,169,163,161,158,159,169,153,150,148,147,174,182,175,162,167,182,169,140,137,155,160,156,160,160,159,166,151,155,160,162,178,193,192,174,168,176,169,151,154,161,159,159,165,163,160,168,148,153,157,158,179,192,189,171,159,160,159,150,167,165,158,159,164,157,157,171,164,162,159,155,191,202,205,197,188,178,161,143,164,157,148,150,154,145,147,168,165,157,149,146,187,203,213,206,188,174,157,144,142,151,154,144,135,139,154,165,166,162,156,151,186,199,192,174,143,146,153,164,137,141,152,158,153,148,160,178,155,157,158,155,154,174,170,171,147,160,158,165,153,161,160,146,141,152,171,181,153,160,167,171,134,155,162,188,181,195,167,152,159,187,179,135,127,167,182,164,145,148,156,165,147,160,162,178,176,189,166,151,149,183,182,147,144,178,176,142,159,154,155,165,150,161,167,160,157,158,162,158,164,168,160,148,149,157,149,129,177,165,162,172,164,166,179,152,161,149,164,157,181,166,148,141,148,150,139,126,155,146,146,158,206,189,190,149,171,152,169,150,168,167,157,152,165,177,158,127,137,133,139,154,216,205,181,132,126,160,165,156,160,125,149,166,180,151,148,172,182,137,141,156,201,186,164,124,123,157,167,165,165,132,149,150,158,140,153,186,198,156,161,173,165,149,137,116,121,148,156,160,172,147,162,148,150,143,167,202,179,143,152,163,153,140,143,140,149,164,164,168,171,156,176,157,159,156,176,202,167,139,154,165,0
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135,156,152,154,137,144,150,179,186,179,171,163,157,159,165,173,170,156,137,127,136,151,149,154,131,128,135,170,183,174,165,160,161,166,174,182,172,159,145,140,141,145,148,167,141,131,137,175,191,180,170,167,170,174,183,193,184,169,158,159,160,147,153,193,173,157,153,183,202,193,187,187,185,185,195,208,208,187,168,164,184,151,157,216,213,196,178,189,204,200,198,197,189,183,193,210,224,202,176,162,187,138,144,223,237,231,205,196,192,183,178,172,158,144,148,164,204,205,199,186,176,116,117,200,223,223,191,167,141,124,111,108,99,86,90,104,147,190,225,225,172,103,95,168,186,184,144,110,78,55,41,47,52,53,62,76,95,170,235,246,167,100,82,113,132,135,108,59,43,46,41,47,59,49,46,71,87,161,191,247,155,93,95,142,132,86,56,41,42,45,44,48,52,45,45,57,77,128,174,226,119,91,122,167,132,61,34,38,35,35,45,48,44,47,53,53,64,98,157,206,95,113,154,163,117,66,44,38,27,27,40,45,37,52,70,64,61,94,145,210,116,145,164,142,96,63,42,26,31,28,39,41,33,50,72,71,71,108,126,197,152,159,154,127,87,53,37,31,39,37,41,39,35,45,66,76,90,120,103,152,162,162,144,113,83,53,40,42,36,38,39,42,48,51,66,92,110,125,110,128,153,164,143,100,70,51,38,35,27,34,35,45,63,63,75,112,121,130,137,143,177,177,151,104,66,53,45,37,40,48,47,54,60,86,129,135,123,140,179,174,192,195,174,130,93,78,65,53,43,53,52,62,70,100,152,165,148,163,192,172,212,221,206,167,136,121,104,86,69,81,84,90,88,105,149,161,150,166,183,146,221,231,222,189,163,154,136,114,91,110,120,125,107,101,127,130,156,174,186,140,1
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75,53,45,54,50,29,21,30,32,34,36,35,29,30,41,57,73,100,116,133,59,45,34,34,34,30,28,30,38,42,44,39,30,33,54,78,110,134,145,151,77,66,47,32,30,35,33,28,40,46,48,42,33,38,66,96,132,163,182,190,102,86,63,45,38,36,33,28,35,39,43,41,37,43,68,94,121,165,206,221,106,85,64,56,47,34,31,36,28,30,35,40,44,49,63,76,99,151,208,230,119,100,82,72,58,37,33,41,27,24,29,39,47,50,54,59,75,123,194,233,130,121,103,80,55,38,33,34,29,23,24,32,40,43,46,49,55,88,160,215,117,119,103,67,40,32,30,23,30,25,21,26,31,35,40,45,46,63,126,183,88,90,73,41,23,26,29,23,21,21,25,29,29,28,36,46,47,77,94,150,86,64,40,27,24,24,23,22,22,24,30,34,32,31,36,43,59,80,90,138,103,57,23,26,36,29,23,26,23,27,32,39,37,32,33,37,58,75,101,155,117,71,35,33,39,30,24,28,27,28,32,37,35,30,30,33,45,67,122,190,105,78,48,32,26,22,22,25,30,28,29,31,30,26,28,32,36,61,133,192,90,80,58,32,19,20,25,28,30,25,24,25,25,25,27,32,35,59,133,165,104,92,70,46,31,26,27,28,28,22,21,24,25,26,28,32,44,68,144,154,128,105,79,59,44,29,23,23,26,21,21,25,27,27,29,32,56,86,164,163,136,124,115,79,65,38,32,19,29,36,32,32,39,36,29,33,47,131,184,175,114,117,122,95,81,51,44,32,33,39,36,34,43,47,51,61,115,174,201,178,108,108,116,99,100,76,65,46,50,58,53,51,62,75,91,112,164,199,206,182,123,104,96,88,110,101,85,54,66,75,73,71,82,101,126,153,171,194,198,186,1
164,132,110,90,116,144,170,154,143,144,128,104,123,184,219,205,177,166,158,159,181,140,117,99,113,127,166,178,165,154,143,127,124,160,204,221,185,173,164,162,183,161,150,113,103,105,149,167,174,165,155,136,121,142,182,204,208,198,186,180,164,188,201,142,104,101,132,129,154,158,150,126,118,148,177,178,200,194,187,182,144,186,216,168,125,110,131,123,135,139,140,125,114,139,173,182,182,183,185,185,137,150,178,162,140,116,135,140,142,135,140,137,108,100,138,179,174,179,181,178,146,128,135,130,134,123,136,133,150,142,150,149,112,88,115,153,153,158,158,150,161,135,122,104,124,134,139,109,142,146,158,155,130,118,126,131,144,149,150,142,184,151,119,115,128,136,130,124,122,149,193,182,135,92,129,130,177,167,152,139,168,169,159,149,148,142,135,137,134,137,154,193,189,116,106,138,174,174,169,159,122,149,150,139,140,132,123,130,145,151,125,165,197,147,109,142,163,175,179,171,122,145,138,124,138,141,130,130,144,187,139,125,142,162,141,136,151,168,174,165,140,155,146,131,139,144,135,131,135,185,172,146,116,146,152,126,138,156,167,161,124,138,148,142,130,130,134,132,124,151,187,205,148,125,139,128,121,140,161,170,119,121,147,155,131,130,145,139,119,130,180,210,173,126,144,142,114,128,150,171,129,112,136,150,123,124,141,125,118,138,169,170,163,142,167,156,121,124,138,157,137,121,121,144,151,133,122,129,135,144,141,166,177,177,183,153,128,118,121,131,162,134,122,143,159,149,138,139,143,145,136,155,169,177,188,161,125,109,107,113,186,143,114,131,154,152,138,132,148,140,125,138,159,183,200,180,151,125,115,119,198,148,109,118,143,143,126,115,145,131,117,125,153,193,214,199,185,152,132,136,0
176,180,185,184,179,181,195,210,208,188,158,142,151,172,179,173,164,165,173,183,186,186,185,181,177,180,191,201,222,214,192,166,153,157,168,174,168,164,166,176,187,186,183,180,179,183,191,196,214,222,216,187,157,148,164,183,186,176,171,179,187,190,190,186,183,186,190,191,211,223,226,203,169,152,165,187,189,182,178,184,184,192,198,194,190,192,192,191,208,210,209,195,167,142,142,154,167,171,179,188,167,178,186,188,193,202,203,199,201,192,188,185,167,141,129,132,143,157,179,193,159,163,164,168,181,196,194,181,176,167,164,168,156,131,116,116,104,128,162,185,173,166,155,151,163,176,165,144,125,114,113,119,105,76,60,62,56,86,129,165,194,164,136,109,134,120,109,92,83,80,68,65,71,61,45,41,41,30,67,137,201,171,143,107,102,68,58,52,61,59,53,58,71,75,75,81,53,32,51,105,207,169,135,108,104,82,72,63,57,52,49,53,60,67,77,88,65,40,45,87,212,187,155,118,94,80,72,56,65,57,59,61,52,48,54,60,57,48,57,98,187,206,204,150,77,60,62,56,58,51,64,72,55,41,44,42,37,52,78,124,166,200,211,164,75,61,69,66,65,55,74,89,68,53,58,54,52,79,107,149,190,201,200,159,63,50,68,82,111,92,108,122,101,93,104,103,111,129,134,154,213,215,211,174,63,52,104,159,162,135,147,159,140,139,161,163,162,166,144,141,206,211,196,156,87,99,131,153,122,124,143,184,184,146,136,144,150,151,145,133,216,205,181,152,102,117,126,122,126,131,154,193,197,169,155,157,146,147,143,133,218,199,169,146,106,123,126,114,142,149,172,198,201,179,153,144,138,141,141,136,207,196,171,141,92,112,133,139,154,161,185,198,200,183,146,126,131,135,140,142,1
152,139,135,140,137,129,137,155,181,175,163,175,167,130,101,73,70,63,58,60,144,140,142,147,145,138,140,148,164,174,170,174,157,119,101,82,76,68,58,54,136,139,142,142,141,140,141,142,148,167,164,151,119,91,94,91,81,74,63,54,137,143,141,134,135,141,145,142,143,158,138,106,69,56,79,88,78,77,71,65,141,147,145,137,139,149,151,145,146,147,110,71,40,36,62,70,68,75,78,74,136,142,145,142,144,148,145,137,147,131,87,59,42,37,51,48,58,71,79,75,136,137,138,138,141,141,138,133,140,112,65,50,47,40,45,36,53,70,81,78,148,140,134,133,135,137,139,141,134,97,46,39,44,40,42,33,50,70,83,81,150,157,146,145,137,127,141,144,131,67,38,35,36,38,34,45,40,70,91,97,156,158,145,148,146,138,149,147,118,60,36,33,32,32,30,45,54,81,94,93,161,161,147,150,151,145,151,141,112,58,39,36,32,32,33,53,61,86,96,92,162,166,150,152,152,144,145,133,111,56,36,35,33,36,40,60,60,86,95,89,160,168,158,157,154,146,148,134,109,48,25,25,30,39,44,64,74,93,91,74,155,166,158,160,158,153,153,135,101,41,20,24,33,45,53,74,95,107,89,58,148,158,149,151,156,151,147,123,83,31,19,27,37,51,62,87,99,109,89,56,143,149,136,139,147,145,136,105,62,18,15,27,35,47,62,90,86,103,92,64,114,118,119,119,125,123,101,78,57,38,34,32,25,47,84,95,94,96,84,74,71,81,86,85,89,92,85,73,49,40,44,46,38,58,96,114,92,93,78,64,31,44,52,51,52,59,64,66,49,43,52,66,73,89,107,112,85,83,67,50,20,31,39,38,37,44,53,61,58,48,53,81,109,119,106,86,76,74,56,41,1
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133,149,161,155,150,168,185,185,206,195,183,176,168,165,171,181,154,155,165,179,139,184,183,150,157,182,201,217,193,185,174,164,153,146,150,159,164,162,165,170,167,183,144,119,163,189,180,188,174,174,176,173,166,163,171,181,188,185,183,184,189,153,114,132,186,196,173,170,167,179,192,199,199,201,211,219,200,200,202,205,146,118,134,172,185,189,194,187,181,196,211,215,211,208,210,213,195,198,202,205,118,119,165,191,175,189,208,183,193,204,212,210,201,197,194,193,198,201,201,198,155,161,189,201,193,202,208,185,196,203,204,197,193,194,196,194,201,203,199,191,178,181,190,200,201,189,187,200,200,203,200,191,189,196,202,202,192,193,189,181,171,197,212,201,185,185,194,201,203,203,198,191,194,203,207,205,204,199,192,189,179,197,206,196,185,187,195,199,196,198,195,192,196,205,209,207,212,206,198,192,183,197,207,201,194,194,197,195,190,192,194,195,200,206,207,205,208,202,194,188,180,197,212,212,207,202,200,196,193,195,197,200,204,205,204,201,193,190,187,184,174,192,209,211,205,201,202,203,206,205,205,208,207,204,200,198,185,188,192,195,165,179,193,197,194,194,202,209,214,209,206,208,206,200,195,194,190,196,204,209,150,161,177,189,194,195,199,201,207,200,196,197,196,189,187,189,188,194,201,206,136,148,169,191,203,202,194,189,196,188,183,184,183,179,179,183,180,185,190,191,143,121,156,206,201,188,193,191,180,183,180,181,188,187,183,189,183,184,182,180,151,122,149,197,198,186,184,178,189,195,194,193,199,198,195,203,197,196,193,187,164,129,143,189,197,185,176,167,195,205,207,204,208,207,207,217,211,210,203,191,174,138,144,186,199,186,173,167,192,207,211,206,207,208,211,222,216,216,205,190,0
108,121,124,125,128,119,116,132,145,154,160,169,171,156,147,157,127,118,149,190,138,121,138,162,161,162,156,128,145,159,167,169,161,143,141,159,128,101,106,131,175,133,158,189,172,182,184,131,136,141,140,138,134,121,122,141,116,94,92,106,173,140,158,174,147,153,167,136,114,102,84,85,98,100,101,115,99,105,121,132,145,141,147,147,132,119,114,110,82,68,47,46,63,74,86,107,103,117,129,134,142,156,149,140,134,97,60,59,51,51,40,34,35,42,68,105,118,118,104,96,143,155,145,129,112,72,38,39,48,53,48,37,29,27,52,92,118,119,97,80,123,130,126,104,71,44,43,57,66,66,56,45,41,36,49,77,104,124,116,100,154,114,79,59,41,30,31,30,42,55,48,42,50,46,45,64,86,137,133,110,170,145,92,43,28,35,34,23,51,58,54,55,62,46,30,37,78,121,121,117,171,150,86,29,26,33,26,21,56,57,56,58,58,40,32,46,103,126,113,109,157,130,67,31,38,30,15,31,46,45,48,49,42,38,63,99,111,135,118,110,145,125,68,32,39,31,20,35,28,26,36,48,49,60,93,125,116,159,156,149,142,140,92,35,27,37,32,27,23,25,46,70,79,92,106,109,135,177,166,149,150,152,120,67,42,47,48,36,43,56,86,101,95,101,108,96,122,147,127,113,165,156,142,114,78,62,62,60,68,92,127,123,92,92,110,107,97,118,112,127,158,140,136,127,117,140,104,106,144,150,137,139,101,67,95,101,79,104,149,178,165,144,135,123,117,148,122,131,163,163,150,162,137,96,99,81,89,110,151,181,147,127,122,115,115,150,128,138,155,162,160,184,165,125,123,100,102,115,151,182,115,105,113,117,119,150,120,125,135,157,166,191,165,127,144,140,110,117,147,179,1
111,122,124,117,119,125,113,90,70,58,51,57,57,56,70,90,93,117,129,118,116,123,125,121,123,124,110,90,66,52,45,50,50,49,59,75,72,99,119,116,122,124,125,125,128,123,108,91,64,49,38,43,44,43,47,58,61,89,115,122,122,119,120,125,129,123,108,96,65,48,37,39,43,41,43,48,59,83,110,122,119,115,115,121,128,124,111,100,66,49,36,36,41,40,40,42,49,68,92,107,116,115,112,116,125,128,117,103,68,53,38,35,36,37,37,39,42,56,76,94,116,118,114,112,122,133,124,104,75,61,45,37,34,34,35,37,40,50,70,89,118,123,117,110,121,137,127,103,83,68,51,40,35,34,35,37,39,46,66,87,116,128,125,114,121,139,138,119,104,88,66,48,39,38,37,37,41,48,61,76,122,119,116,121,136,146,138,121,114,99,76,58,49,44,44,44,43,49,63,75,130,124,129,144,154,149,133,123,137,123,100,78,62,51,46,44,49,54,66,79,136,138,141,144,140,134,132,132,144,135,119,99,80,66,58,53,59,64,74,86,134,138,134,124,126,138,144,141,124,124,122,114,101,90,82,80,77,80,89,98,122,133,138,141,152,161,149,128,111,118,124,123,114,104,100,98,99,100,106,111,122,133,146,151,146,131,112,99,107,116,126,126,119,113,111,113,116,117,122,127,137,137,135,119,84,53,57,79,97,108,121,124,123,121,126,131,124,125,131,137,129,110,83,58,37,29,35,47,68,88,117,138,148,150,149,148,143,142,145,151,89,74,55,40,29,25,30,40,58,82,115,140,151,153,150,148,146,145,147,153,59,47,35,31,30,29,33,39,50,78,116,146,159,160,155,152,159,157,159,165,54,42,31,31,34,35,36,38,50,80,121,152,165,165,161,158,169,167,169,174,0
141,149,155,154,154,154,154,150,129,127,117,112,113,109,109,124,104,119,128,123,161,165,167,164,165,165,164,157,147,140,117,101,112,126,130,135,135,140,141,134,168,171,170,166,164,163,158,150,133,141,128,110,120,143,150,152,170,162,148,136,163,171,175,169,161,154,146,137,112,134,135,121,124,140,161,179,197,180,155,136,155,169,178,174,162,150,142,137,124,133,130,125,127,133,154,182,192,179,160,145,139,152,161,158,149,143,139,137,142,140,138,146,157,147,136,140,149,148,150,152,131,134,135,132,134,142,148,149,156,160,157,162,174,165,138,123,129,131,142,157,142,135,125,122,135,155,168,171,173,182,170,152,158,166,161,153,154,151,154,166,147,136,132,144,157,164,171,179,169,169,168,169,170,171,171,170,183,183,177,167,169,163,162,166,166,162,166,175,176,176,176,178,180,179,176,173,180,180,174,164,181,178,178,178,168,160,166,181,186,182,179,178,181,183,183,181,177,177,172,165,185,180,177,173,163,156,165,181,187,180,173,170,173,180,185,187,172,173,172,170,186,180,178,180,174,164,164,172,176,174,172,172,175,179,183,185,170,170,171,173,170,170,179,193,197,187,179,178,164,173,182,186,186,182,180,180,179,177,177,180,156,159,173,193,200,194,189,189,166,179,192,195,189,182,181,183,184,179,179,182,157,158,168,182,185,180,181,188,176,187,196,193,183,178,183,191,177,172,170,174,147,148,148,162,179,177,169,173,165,175,179,173,167,169,178,184,175,172,167,164,131,119,105,116,146,163,168,176,164,169,171,169,168,170,171,168,164,159,151,146,120,111,96,97,117,129,135,146,150,153,155,159,166,169,161,150,150,144,134,131,110,124,128,121,113,99,95,106,129,134,142,152,163,164,154,141,139,132,129,131,0
166,152,141,137,132,128,140,155,173,191,189,200,200,178,171,169,188,169,181,183,160,144,129,123,121,125,142,162,181,193,189,201,207,188,180,172,168,148,158,158,157,140,122,114,115,124,146,167,185,193,184,198,208,192,182,173,169,148,155,156,158,144,131,126,128,138,156,172,188,196,184,196,206,189,183,175,163,143,151,151,161,155,151,154,159,166,175,183,193,202,191,199,204,188,186,182,168,151,159,157,167,168,173,181,189,193,194,192,191,199,187,194,199,183,184,183,184,171,180,174,180,184,191,199,204,206,200,194,186,190,174,183,193,183,183,180,181,174,189,182,194,197,200,204,207,205,197,189,187,186,168,180,196,190,187,182,186,183,201,195,194,192,189,193,198,200,196,190,186,186,170,168,185,180,175,190,189,178,181,186,196,193,192,192,191,188,181,174,178,182,174,173,184,180,178,194,198,181,174,169,194,195,197,196,192,186,178,173,173,180,179,179,185,181,181,195,186,176,180,185,182,187,194,196,194,189,184,181,171,176,179,184,186,187,188,195,197,181,177,178,172,177,184,188,187,183,180,177,169,169,174,182,190,198,203,200,216,186,160,150,184,186,186,187,185,182,177,173,170,166,173,184,191,208,216,208,214,184,165,162,201,197,194,193,193,191,187,184,179,174,183,189,190,207,222,213,206,185,174,172,206,200,195,195,199,201,200,196,191,186,196,196,185,200,220,213,197,177,165,156,197,187,170,171,189,199,199,204,207,198,189,187,194,203,203,199,185,172,163,165,160,158,151,158,178,190,194,202,207,200,191,187,190,196,197,196,179,173,171,176,112,123,127,138,161,178,188,201,208,203,195,189,185,185,188,190,174,176,180,187,81,100,113,125,148,168,186,204,211,207,200,191,182,177,180,188,174,180,187,190,0
103,99,92,108,90,104,98,98,118,116,120,131,141,146,151,156,132,104,102,113,104,98,89,103,87,100,96,97,94,93,95,105,117,129,144,155,154,133,118,112,106,94,87,96,80,85,84,85,74,74,78,88,97,107,124,138,156,153,135,113,104,89,84,86,72,68,66,65,65,67,75,81,82,82,90,100,128,150,142,121,98,79,77,77,69,57,59,57,66,67,70,70,66,62,66,74,102,139,149,136,92,68,69,68,67,54,65,65,78,72,68,64,59,58,64,73,94,130,154,154,90,61,61,55,61,50,70,75,89,80,72,67,62,61,63,69,83,114,155,172,92,58,56,45,53,43,69,77,90,82,75,71,66,58,52,51,70,99,155,189,78,65,55,52,47,44,55,70,82,80,74,66,59,54,52,52,62,88,146,183,80,62,50,51,55,55,61,69,83,81,75,67,58,52,49,50,58,87,142,177,82,61,46,51,63,66,64,64,78,75,72,64,57,53,51,51,58,91,143,172,84,65,50,52,63,68,66,65,67,67,65,62,57,54,54,55,53,92,140,165,87,74,62,58,59,61,65,68,64,64,63,61,57,54,54,54,49,91,130,147,90,85,77,67,60,58,64,69,69,70,68,64,59,54,52,51,62,100,127,133,90,93,90,80,68,63,65,70,75,76,73,68,63,57,54,53,80,112,121,113,91,95,97,88,75,68,68,69,76,76,75,72,67,62,60,59,79,106,104,87,100,100,99,94,81,70,69,74,63,65,76,88,81,61,56,63,71,86,91,91,98,97,97,95,87,77,75,78,68,68,79,92,85,65,60,68,72,87,95,97,99,96,97,101,98,91,87,85,74,74,84,96,88,71,65,73,71,87,107,121,105,101,102,108,111,106,97,92,78,78,88,98,91,74,70,78,76,92,124,150,1
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84,100,108,124,150,147,133,137,163,153,152,163,168,157,140,127,130,135,132,122,91,97,103,115,133,136,130,130,137,130,125,127,128,125,129,136,143,141,133,123,108,104,114,126,131,131,120,102,104,110,114,111,103,102,117,136,141,136,133,133,138,127,136,152,151,147,123,83,92,111,130,132,119,112,117,127,124,123,131,146,168,145,145,157,165,174,156,114,108,126,143,147,139,131,129,132,117,116,127,143,180,155,136,138,159,186,187,166,129,135,138,137,136,139,140,142,124,121,122,126,171,159,134,125,149,174,176,170,131,132,132,127,130,134,135,130,127,127,124,118,155,163,144,131,147,154,141,137,121,128,131,132,133,131,119,108,120,127,127,120,158,167,153,156,130,122,102,115,115,99,107,123,124,131,132,111,132,143,142,128,130,141,138,143,120,118,99,100,102,94,107,121,125,139,141,120,133,142,144,136,114,121,123,125,106,112,107,95,97,100,113,125,137,155,155,132,132,138,146,150,116,118,116,107,94,111,119,108,112,121,132,139,155,173,161,132,126,134,148,162,112,112,109,96,99,114,124,114,133,144,145,146,164,173,151,119,118,128,146,163,110,109,102,94,127,129,118,103,142,151,144,139,152,152,128,108,117,128,142,151,134,127,105,104,165,152,115,93,133,144,134,123,127,120,107,110,127,137,142,137,171,152,115,113,194,173,118,93,121,134,123,109,108,99,97,119,139,149,145,129,191,175,147,126,162,190,140,89,107,127,143,117,120,120,130,115,170,147,134,134,199,192,171,144,166,188,147,110,104,118,135,125,143,146,155,141,154,138,135,141,172,175,165,135,143,159,131,111,101,102,117,119,142,138,140,127,132,127,137,151,130,140,138,111,112,125,109,104,100,92,104,110,129,113,110,98,116,119,138,156,0
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139,128,122,122,113,104,113,130,145,130,117,114,113,110,109,109,104,112,120,121,126,120,117,118,116,115,125,139,135,128,122,117,109,101,96,97,93,96,102,108,111,108,108,111,120,129,137,142,121,121,121,121,114,109,112,119,117,109,109,119,105,102,100,107,125,140,138,129,113,112,113,117,119,122,133,144,132,116,108,115,111,105,103,113,131,141,127,107,99,95,96,102,109,114,121,128,133,117,105,106,115,111,114,125,136,128,105,83,68,68,73,85,94,99,104,108,122,117,111,106,107,110,123,137,131,105,78,64,44,47,52,62,72,81,96,110,98,109,112,103,96,106,126,141,124,85,59,54,43,42,42,43,47,62,88,113,95,117,128,115,105,93,130,134,91,65,47,35,34,37,34,34,43,51,72,102,104,140,164,111,108,104,125,106,66,50,39,37,31,38,35,32,33,36,56,88,108,144,164,112,105,117,126,85,47,42,33,35,29,37,37,33,28,27,48,84,112,148,163,119,90,123,135,86,53,48,33,34,30,35,35,35,33,32,52,88,106,140,151,126,77,117,136,92,59,53,36,37,34,33,29,30,34,31,49,83,99,126,133,132,77,103,128,97,58,49,40,43,40,34,25,27,29,26,42,75,115,127,124,147,89,96,126,109,63,47,43,49,41,36,30,34,36,34,56,96,140,135,120,162,99,94,131,126,73,49,45,49,40,40,40,47,51,51,81,129,155,137,114,165,150,119,110,126,115,71,42,44,45,45,51,56,69,102,128,129,135,134,128,131,155,141,136,139,132,108,89,83,64,60,66,75,82,103,123,126,124,127,123,126,145,150,148,140,136,136,129,117,89,79,85,97,99,105,118,124,122,132,132,133,131,142,141,130,128,137,140,133,109,90,95,112,109,103,115,128,127,142,147,146,1
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
134,127,123,131,124,126,133,102,107,111,124,111,120,98,115,133,157,151,140,134,138,137,131,131,118,123,144,130,115,118,142,151,161,125,122,130,149,134,124,127,141,137,124,125,121,131,155,148,121,123,138,139,143,126,131,136,130,125,138,165,147,134,111,120,136,149,164,152,113,126,135,116,101,110,137,149,138,147,170,194,153,141,112,119,139,150,163,158,106,125,152,149,111,104,130,154,176,181,178,166,143,144,120,119,130,131,149,160,120,117,147,176,129,103,119,153,178,180,164,136,125,137,122,128,139,132,141,154,142,119,125,154,122,122,132,146,147,149,142,131,115,130,122,143,169,156,148,148,148,129,117,129,116,159,161,132,129,122,119,122,157,148,141,142,146,144,133,122,129,141,147,141,136,140,139,134,120,120,122,130,169,155,137,127,129,138,147,152,136,143,145,136,128,131,140,148,129,133,148,165,159,153,144,135,130,135,145,153,137,137,137,132,127,130,151,171,165,145,142,161,149,153,153,145,132,127,132,139,144,142,144,149,150,154,173,195,158,140,134,149,145,145,139,125,110,107,120,135,144,140,143,153,156,153,160,171,153,174,195,201,163,164,161,149,137,136,146,158,158,155,153,154,151,143,137,135,156,176,187,180,194,199,206,205,198,191,189,190,186,185,177,163,152,146,142,138,125,118,108,102,188,193,197,197,192,186,183,181,178,180,169,146,131,131,135,134,122,121,126,132,163,159,153,147,141,136,130,127,113,121,137,153,157,146,132,125,137,131,129,135,140,140,139,136,133,131,130,131,148,147,154,169,180,180,175,172,158,146,137,132,143,147,150,150,147,147,151,156,173,162,154,160,170,176,178,179,185,177,172,170,143,149,154,152,146,144,151,157,166,153,140,138,142,147,154,159,175,177,186,198,0
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73,61,74,84,97,105,96,107,111,109,93,96,86,105,109,121,140,153,169,181,63,57,78,91,104,109,96,101,113,108,97,109,98,102,91,96,129,140,154,165,67,64,86,98,111,118,104,106,124,114,104,123,112,105,86,90,123,132,143,151,76,72,87,92,107,122,114,117,135,121,106,123,109,107,98,110,124,131,139,144,76,71,81,83,102,127,122,121,135,126,106,109,95,107,108,122,125,130,136,139,84,77,83,84,110,141,135,127,138,136,108,93,81,113,117,119,125,130,134,135,111,98,92,85,112,150,144,132,145,146,102,66,61,117,127,113,118,122,126,126,138,115,95,77,102,146,143,132,148,147,87,37,39,116,131,108,105,109,113,113,159,118,102,83,94,132,138,143,146,119,59,21,54,108,126,119,128,130,125,114,124,97,96,83,88,119,126,131,140,109,50,15,44,93,114,108,116,124,126,120,82,73,85,83,86,108,118,123,132,93,42,16,30,56,70,72,96,112,127,130,49,51,68,79,85,105,118,120,117,71,38,32,27,25,40,58,92,113,138,150,34,38,51,72,90,109,125,117,96,45,29,43,32,21,50,91,104,121,145,161,37,41,50,81,105,122,134,114,78,32,22,38,29,34,81,123,111,116,127,139,38,46,56,94,119,128,133,102,55,27,25,34,37,74,125,141,131,121,116,120,29,44,55,97,120,121,121,84,30,23,34,41,57,121,171,159,163,143,128,128,28,49,67,78,94,112,111,98,37,33,37,59,109,168,186,161,164,161,158,155,34,49,58,59,73,99,115,115,76,50,61,115,164,189,190,179,177,174,171,169,36,47,50,47,60,92,119,130,128,107,123,171,196,195,190,188,192,188,183,182,34,42,46,50,67,98,123,132,149,164,184,187,179,187,197,193,200,195,190,188,1
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166,165,175,158,158,165,155,178,189,186,147,181,159,174,161,168,170,170,158,181,159,150,155,151,172,188,171,177,213,197,160,190,174,166,154,160,157,170,153,165,163,160,162,160,184,199,181,179,218,194,175,201,198,167,157,158,140,174,153,151,144,163,169,159,162,170,169,178,195,184,185,199,208,170,170,161,140,187,161,148,143,175,181,167,161,168,185,196,179,183,187,176,185,157,169,152,144,189,161,150,177,204,191,176,179,188,203,198,174,177,168,139,139,122,139,122,121,154,139,148,188,206,177,160,168,177,183,160,147,143,123,106,102,88,95,80,75,94,97,137,183,202,170,153,160,167,171,143,110,100,83,88,88,71,66,50,42,50,64,123,173,173,160,160,168,179,178,137,113,83,75,74,54,50,61,63,37,55,66,108,149,160,165,164,155,174,199,171,117,80,64,68,61,58,60,51,43,55,62,104,129,143,163,165,141,165,202,173,109,75,59,62,58,52,49,42,47,51,53,93,134,138,159,163,131,149,181,138,97,76,63,59,49,39,42,51,58,56,51,91,150,149,167,169,125,132,165,131,96,78,58,52,50,43,48,67,73,69,62,103,159,162,179,179,130,125,165,159,105,78,45,40,52,53,53,67,77,72,68,112,155,159,173,183,148,130,161,169,119,93,55,43,55,51,47,62,70,68,68,115,148,147,155,180,166,139,149,151,134,118,83,62,59,45,42,68,68,67,71,120,179,176,168,156,158,139,162,160,141,134,106,77,58,43,46,65,55,75,84,126,200,185,163,143,146,133,161,162,140,147,136,113,86,54,41,49,58,78,86,129,211,188,157,135,142,132,159,161,134,155,163,153,128,92,70,73,80,98,104,145,204,179,153,141,153,139,158,153,135,155,167,166,153,125,107,113,105,121,123,159,1
138,154,144,149,160,164,180,186,178,194,173,163,147,161,145,146,158,146,140,145,160,164,144,145,154,159,178,183,167,166,156,148,162,162,155,152,179,159,144,147,169,164,138,135,139,144,165,168,180,167,168,161,183,159,162,167,165,159,159,169,174,169,153,154,149,148,169,170,175,164,167,167,173,141,143,165,145,164,182,187,156,159,163,174,159,150,171,169,164,159,149,169,163,149,140,167,144,168,189,192,141,148,166,186,165,153,175,171,166,162,143,165,162,168,149,164,157,160,168,175,152,152,170,194,172,163,188,182,150,159,153,151,153,158,156,163,168,153,146,154,147,137,150,173,153,149,177,170,137,166,185,157,162,157,182,194,157,144,144,159,149,149,154,162,164,157,145,137,143,161,169,168,194,175,143,199,181,180,173,165,162,174,184,180,161,144,140,142,161,169,161,154,183,171,140,182,217,204,179,155,190,199,201,182,153,138,142,152,175,175,152,140,174,174,145,169,204,195,176,157,193,200,200,186,167,154,151,151,171,175,151,142,177,183,161,170,157,160,164,166,156,176,193,192,179,166,154,145,154,170,154,153,180,183,171,172,159,159,160,162,134,158,176,169,154,150,156,160,144,167,157,162,176,167,164,164,166,165,169,171,152,166,167,153,143,150,165,172,146,166,158,165,166,148,154,156,151,159,177,195,176,181,178,173,175,181,175,163,151,168,155,165,161,138,149,154,169,171,178,187,165,168,180,185,178,179,176,164,157,179,178,171,173,160,144,148,179,183,193,189,172,172,176,173,162,168,177,174,175,195,190,179,180,168,153,158,175,171,176,175,189,187,187,179,166,174,187,189,184,200,190,176,176,165,152,158,171,159,158,160,203,200,200,195,185,191,198,194,184,197,181,165,165,157,147,155,172,155,152,156,0
45,51,71,103,132,146,154,159,158,163,211,193,191,181,182,183,186,161,165,167,52,52,67,98,127,138,143,146,157,173,217,188,177,173,174,168,167,157,166,161,78,75,86,106,120,120,117,121,150,176,215,190,178,187,194,184,158,158,175,164,122,126,135,138,120,94,87,94,129,149,179,176,176,194,207,200,168,163,179,175,163,176,189,176,127,77,66,82,96,99,112,139,152,173,188,186,180,160,174,184,182,197,213,196,137,78,66,87,69,62,58,106,132,161,180,178,181,157,174,193,184,191,201,191,142,89,77,95,68,63,46,91,120,161,182,171,164,153,180,196,180,178,182,177,142,98,85,100,79,81,53,86,105,151,170,149,143,149,184,195,164,171,154,174,136,90,71,94,89,86,85,73,66,101,136,135,146,172,191,199,181,183,172,183,144,82,65,81,86,100,95,67,48,72,111,131,137,162,182,192,180,178,180,185,151,78,70,80,100,120,106,66,44,47,75,115,123,138,156,168,166,162,175,173,143,71,73,75,105,120,97,67,58,42,60,123,148,144,151,165,163,156,166,153,116,54,61,53,83,92,70,56,57,35,67,159,174,148,146,160,166,158,153,132,85,46,56,39,57,69,54,43,42,30,77,178,187,147,139,156,176,170,147,119,59,49,59,35,41,58,47,38,52,64,103,170,205,161,158,177,195,189,151,116,45,50,57,29,27,47,40,41,82,120,140,161,205,163,166,187,182,183,183,137,75,46,39,40,42,85,79,83,132,128,110,145,153,158,171,172,168,166,163,129,85,71,75,80,133,165,145,123,144,137,117,133,137,147,168,179,156,156,155,144,122,122,134,135,170,194,178,147,146,142,123,116,115,129,159,180,150,154,159,170,166,165,174,163,145,162,166,154,147,139,122,106,101,114,147,173,1
147,167,172,164,161,161,169,184,183,173,163,160,165,170,171,169,188,196,199,192,151,160,160,157,162,164,169,181,199,195,190,187,184,177,167,159,162,172,178,179,145,147,144,149,165,170,170,178,192,198,206,209,204,190,175,165,144,152,160,163,132,137,140,152,172,175,171,175,173,185,200,209,206,194,183,175,153,157,162,167,130,147,159,168,179,179,172,174,169,179,190,195,192,184,178,177,172,169,170,174,144,173,187,183,185,184,178,177,173,177,182,183,182,180,180,183,184,172,162,160,162,197,204,184,181,190,190,187,182,182,183,182,181,182,184,186,191,171,149,139,170,205,206,177,175,193,200,196,197,194,191,186,183,180,177,176,196,172,146,136,195,207,207,174,152,180,196,171,163,168,172,170,169,176,186,193,198,177,154,147,204,215,217,192,165,163,164,155,142,143,147,153,167,184,201,210,195,179,166,164,214,213,195,169,146,132,141,164,167,167,168,174,180,183,183,182,172,164,158,159,199,193,160,132,125,120,136,173,185,186,191,194,185,166,148,138,152,147,142,140,178,179,155,131,136,138,138,152,149,152,158,163,157,144,140,142,160,156,148,139,185,184,164,142,146,153,146,135,127,122,120,123,123,129,148,168,171,169,162,150,189,173,154,137,136,147,150,133,129,118,112,116,119,125,145,165,154,159,160,153,166,141,135,135,130,138,143,128,115,106,109,121,130,130,135,144,128,140,148,146,150,123,108,123,142,144,130,121,117,129,131,122,120,127,125,114,111,123,139,150,134,112,101,114,129,133,129,128,153,150,139,126,122,125,127,124,124,133,144,151,124,114,113,124,136,136,133,134,144,129,118,116,119,122,126,132,132,136,140,140,124,122,130,145,153,147,135,128,105,89,84,102,115,115,118,127,136,136,133,128,0
162,131,116,128,131,123,131,153,158,157,156,162,173,175,162,145,153,153,157,162,111,112,122,135,139,139,159,185,161,168,172,173,170,159,141,124,123,140,151,148,116,124,131,135,140,151,161,166,163,168,173,173,168,154,129,108,106,135,151,140,120,129,136,146,169,185,166,135,143,140,137,141,148,143,122,99,113,135,145,135,132,157,176,179,180,171,135,94,105,103,99,97,102,106,101,93,116,122,124,121,166,189,194,163,119,89,75,68,78,86,87,75,64,66,76,85,104,106,111,113,162,153,129,94,59,45,55,73,72,80,81,69,57,56,61,65,81,101,118,121,154,108,63,49,52,51,49,50,70,69,64,63,66,66,54,41,59,99,130,131,157,92,57,58,52,48,50,44,52,63,68,66,67,71,68,60,46,74,110,130,117,72,55,60,47,36,39,42,60,58,54,53,56,61,61,57,37,62,92,110,115,76,58,62,52,37,35,39,51,41,36,41,51,56,59,59,55,73,97,114,142,94,56,53,57,53,48,44,42,34,34,45,52,50,52,58,70,79,93,104,141,105,61,42,51,57,53,50,52,45,44,47,44,39,44,56,90,89,89,90,131,130,98,55,41,42,42,44,55,51,47,42,40,45,63,80,100,97,94,92,137,166,141,77,43,39,38,39,51,52,48,45,53,73,96,110,91,91,92,92,142,181,156,82,49,50,48,45,53,58,57,57,70,95,113,117,96,98,102,103,170,172,158,121,73,43,42,53,54,49,58,71,86,104,108,91,102,117,113,102,150,147,139,127,110,89,69,57,63,71,87,91,87,100,112,109,112,129,130,123,127,124,125,132,136,124,97,75,82,92,104,103,94,106,119,117,99,120,126,123,114,117,123,130,131,122,108,97,101,97,98,96,100,117,122,106,102,124,132,131,1
191,193,196,196,194,188,182,177,177,176,175,176,178,181,184,187,192,192,192,192,195,196,199,199,198,193,188,184,177,175,174,174,176,179,183,185,190,190,190,190,195,196,197,199,198,195,193,190,180,179,176,176,178,180,182,184,188,188,188,188,191,192,193,194,194,193,194,192,185,184,182,181,181,183,185,187,189,189,189,189,188,189,191,191,192,192,194,193,187,186,184,182,183,185,187,189,191,191,191,191,187,188,190,192,193,195,196,195,186,185,183,183,183,184,186,187,192,192,192,192,186,187,190,192,194,194,194,194,186,185,184,183,183,185,188,189,191,191,191,191,183,185,189,192,193,193,192,191,189,187,186,185,186,189,191,193,190,190,190,190,184,182,183,190,198,200,195,188,192,192,192,192,192,191,190,189,190,190,190,191,184,181,181,188,197,201,198,194,193,193,193,193,192,191,190,190,190,191,191,191,186,182,180,185,193,200,202,201,194,194,193,192,191,189,189,188,191,191,191,192,191,186,181,183,190,198,202,203,194,193,192,191,189,189,189,189,192,192,192,193,196,190,184,182,186,193,198,200,193,192,191,189,188,189,189,190,193,193,193,193,196,191,186,184,185,189,192,195,190,189,188,187,187,188,190,191,195,195,195,194,194,192,187,185,185,187,190,191,189,187,186,186,187,189,192,193,199,199,199,198,192,190,187,186,186,188,189,189,188,186,185,186,186,190,193,195,203,203,202,202,189,189,188,187,187,186,185,185,184,184,184,187,190,196,201,203,203,203,203,203,188,188,187,187,187,187,186,186,186,186,188,192,194,199,203,205,203,203,203,203,186,186,187,187,187,187,188,188,187,189,192,197,200,204,206,207,203,203,203,203,185,185,186,187,187,188,189,189,188,190,195,201,203,207,207,208,204,204,204,204,0
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171,159,149,152,154,140,112,88,104,96,110,127,127,138,140,119,129,138,130,119,160,152,143,131,115,95,76,65,74,65,72,83,89,115,141,140,123,129,123,118,147,135,116,93,75,65,59,58,65,55,55,54,56,83,121,139,133,135,129,128,152,127,91,65,58,62,63,61,69,65,62,56,49,60,89,111,139,138,130,130,156,133,96,64,56,59,58,52,67,69,67,62,56,56,69,90,123,126,121,119,139,131,107,76,57,54,51,47,77,77,72,72,74,65,63,78,103,119,124,122,137,127,103,73,56,57,54,47,84,84,77,83,95,79,58,63,87,120,137,136,161,135,92,60,55,64,58,43,72,75,72,88,110,90,57,52,70,114,140,138,171,130,87,64,57,66,70,61,73,67,84,95,124,128,77,59,64,95,122,127,154,127,91,73,74,75,69,61,69,73,82,86,119,129,85,73,58,85,108,111,156,137,93,66,72,70,62,68,75,96,96,85,115,120,75,62,55,78,98,100,152,143,99,68,75,68,55,70,81,117,113,94,114,110,64,44,61,80,97,102,141,146,119,97,100,82,59,68,86,124,115,98,111,109,80,56,67,82,98,105,165,166,142,116,106,87,72,78,101,125,112,97,99,105,101,75,58,69,84,93,184,174,149,120,97,86,88,93,108,115,103,98,89,99,113,81,52,62,77,91,161,152,144,126,102,94,100,100,95,95,90,99,88,97,122,84,60,70,87,105,161,162,165,146,107,86,88,93,92,76,76,91,98,100,97,87,69,69,60,84,174,172,177,165,130,101,82,67,63,50,54,73,83,91,97,94,81,80,59,66,177,172,178,177,158,133,103,74,56,42,46,61,67,75,86,91,92,100,74,65,179,170,172,175,169,159,135,105,66,51,52,62,62,65,80,91,87,110,94,81,1
157,151,154,159,149,133,137,153,165,172,189,194,184,193,186,153,152,161,185,200,154,142,140,150,154,142,139,143,174,179,191,187,173,181,181,158,160,159,176,191,149,137,133,143,147,140,138,142,166,175,187,182,170,177,180,166,170,157,163,181,140,136,134,134,128,123,135,153,156,170,182,182,178,179,173,161,171,152,156,175,134,126,120,115,112,116,138,161,161,173,179,179,182,180,166,153,166,149,156,176,127,111,96,97,109,126,146,161,163,174,175,176,187,185,170,164,156,152,163,178,116,105,96,100,115,134,153,166,165,183,185,186,196,186,168,167,149,156,172,178,106,109,113,116,120,132,154,173,175,201,206,204,204,181,151,148,146,161,178,178,127,117,111,116,124,134,154,172,193,213,198,157,121,92,91,118,146,183,179,158,136,122,113,118,128,139,156,172,206,187,145,97,62,46,57,83,131,175,177,157,132,119,115,127,143,153,163,173,182,127,77,54,44,42,44,43,109,159,173,158,123,113,117,133,150,154,153,155,135,80,53,57,55,57,61,55,95,146,169,158,123,116,116,129,138,137,135,138,111,72,57,58,45,48,71,84,91,135,163,158,123,117,119,128,134,137,146,159,114,70,39,39,49,59,65,65,79,114,151,163,118,120,130,140,143,145,160,178,132,84,32,27,59,73,57,42,62,90,135,167,115,126,143,153,149,142,151,167,152,120,61,30,45,55,52,59,56,77,125,165,137,149,140,136,132,134,161,168,153,171,108,36,40,59,49,49,56,72,111,151,141,154,149,149,144,141,156,155,159,181,138,67,45,46,42,45,50,70,107,139,156,171,170,175,171,160,161,148,163,192,186,129,71,46,44,47,45,70,103,121,168,184,185,195,192,177,167,146,154,191,220,183,101,54,50,48,42,72,100,105,1
198,197,199,205,210,211,207,202,194,195,184,165,157,159,158,149,147,144,133,120,197,197,199,205,209,210,206,201,196,187,178,172,166,157,151,146,143,140,131,121,198,198,199,204,209,209,204,200,199,185,177,181,176,160,149,148,143,141,134,127,200,199,200,204,207,207,202,198,193,184,179,179,172,160,150,150,149,147,143,140,202,200,201,203,206,205,200,195,182,185,181,168,159,157,154,148,154,151,149,149,202,201,201,203,205,204,198,192,182,187,180,164,158,162,161,153,156,151,147,149,203,201,201,203,204,202,196,190,188,180,171,165,167,168,162,155,155,148,144,145,203,202,201,202,204,202,194,188,186,166,153,161,170,164,152,147,154,145,141,143,204,200,199,203,207,204,194,187,182,179,175,174,171,166,157,151,155,148,143,145,201,200,200,203,204,201,194,186,188,185,179,175,171,164,156,150,152,148,148,157,199,200,202,202,200,196,190,186,185,180,175,169,165,158,152,148,161,152,144,143,196,200,203,201,196,190,186,186,176,173,168,165,160,158,157,156,163,149,133,123,195,199,202,199,192,186,183,183,175,173,170,166,164,164,164,165,153,141,133,133,195,198,199,196,189,183,181,180,174,172,171,166,162,159,160,161,152,147,146,153,197,196,196,194,188,183,178,177,170,171,168,163,157,154,154,155,158,150,146,147,198,196,194,192,188,183,177,175,169,170,169,166,160,156,156,157,154,142,130,126,193,199,200,194,188,184,182,178,171,171,165,170,161,156,165,149,136,132,119,113,201,205,203,194,186,182,180,177,179,175,166,170,162,155,160,141,131,131,123,119,203,206,203,194,185,183,183,181,181,172,159,165,161,154,156,134,123,132,129,127,194,199,200,193,188,187,187,186,174,160,146,158,159,154,155,132,116,132,136,135,0
68,85,89,83,80,76,76,87,66,49,43,53,60,61,68,81,91,68,68,82,87,87,84,88,89,76,71,85,81,61,48,56,64,64,65,71,84,68,75,96,86,76,76,97,106,86,73,87,89,66,51,58,69,68,66,68,85,71,79,98,72,71,81,106,116,92,70,77,86,66,53,60,69,72,72,75,90,73,72,82,73,83,92,102,105,84,63,65,91,77,64,65,71,72,76,82,86,71,71,79,76,86,89,90,90,79,71,81,109,94,79,73,72,74,78,83,83,76,86,98,82,80,80,87,92,80,80,103,118,100,81,72,75,80,84,87,87,82,91,100,94,80,78,97,102,78,75,105,116,95,72,68,78,89,94,94,90,80,79,79,99,86,90,103,99,79,78,94,107,88,66,63,83,99,97,84,80,81,79,73,97,83,83,96,94,82,81,96,98,88,77,74,85,94,90,80,89,88,87,87,111,98,94,100,95,81,80,92,87,88,88,86,88,89,85,77,91,89,89,95,113,106,105,105,94,79,80,91,82,88,92,91,90,88,83,77,90,89,89,93,92,98,105,104,91,79,84,96,83,87,87,86,87,88,85,80,87,89,90,90,91,102,110,105,90,80,82,92,84,85,81,77,78,83,84,82,82,84,84,81,103,109,110,102,89,82,80,83,82,84,78,70,67,72,78,80,84,83,78,73,100,102,98,90,85,84,82,81,79,83,78,67,60,63,72,77,95,88,79,73,87,92,99,90,75,79,90,87,88,94,77,77,73,55,66,82,95,85,77,76,86,89,94,87,77,84,94,89,85,89,72,72,68,53,66,82,97,89,83,84,89,89,92,85,79,88,94,86,82,86,68,68,66,55,70,85,92,83,78,80,98,93,90,84,80,88,92,79,84,89,69,67,69,61,78,92,87,78,71,71,0
183,164,156,157,153,156,166,168,174,174,177,184,186,184,182,183,176,182,189,190,177,170,171,163,144,144,166,182,172,171,174,182,186,184,181,181,182,188,194,196,176,173,175,165,143,143,168,185,172,170,173,182,187,186,182,181,187,192,198,200,180,168,164,160,153,159,172,173,171,170,174,183,188,187,183,181,189,192,197,199,173,162,160,162,162,169,173,164,167,168,174,182,185,182,179,179,191,193,196,198,161,162,171,171,163,166,171,164,161,166,175,181,179,174,173,176,195,196,197,199,160,166,177,176,164,165,169,162,159,168,179,184,177,170,171,177,197,197,197,198,170,169,175,174,168,172,170,155,161,173,186,189,179,170,172,181,196,195,195,195,169,186,168,167,174,159,156,160,174,178,194,187,179,183,179,193,201,196,193,196,172,180,157,157,169,160,158,156,175,178,193,188,183,188,183,194,198,193,191,193,165,164,138,142,158,156,157,151,177,176,190,187,187,194,185,192,191,187,186,190,159,156,135,142,154,155,160,152,178,173,185,183,187,194,182,185,183,181,182,188,167,165,154,160,160,157,167,157,177,170,179,177,183,191,178,178,181,178,180,186,174,173,168,173,162,156,169,157,175,167,175,173,179,188,177,178,184,180,180,184,174,171,168,175,162,159,175,161,173,166,174,172,178,189,181,186,187,182,180,183,174,167,165,176,166,168,188,172,172,165,174,172,179,192,187,193,188,183,181,185,180,179,186,184,169,168,176,176,174,177,181,176,172,189,204,199,189,185,172,183,181,180,187,185,170,169,177,177,175,177,182,177,173,190,204,200,193,187,169,176,182,181,189,187,172,171,178,178,177,177,182,179,176,192,205,201,199,189,166,168,183,183,191,189,174,172,179,179,179,177,181,181,179,193,205,201,202,191,165,166,0
92,92,87,81,84,94,95,89,107,117,125,133,150,175,198,208,221,190,183,202,87,86,82,76,73,77,83,85,96,102,105,108,122,145,164,173,195,175,183,208,107,99,91,89,89,84,78,77,78,86,95,104,115,126,129,128,157,151,173,204,173,156,144,146,149,137,117,101,84,85,88,96,107,115,117,116,121,120,145,175,166,157,147,140,133,118,106,99,108,94,78,72,81,98,118,131,109,103,120,145,123,132,130,107,80,71,82,94,100,87,75,71,77,94,112,128,119,108,117,135,63,82,84,52,21,19,35,47,58,58,66,79,88,94,103,113,123,110,114,124,52,72,71,43,21,24,27,22,28,33,48,67,80,87,100,112,112,101,102,106,56,82,76,42,24,24,24,25,30,32,38,41,54,92,130,116,119,121,96,77,60,83,78,52,40,36,27,21,23,22,28,45,64,90,117,121,112,120,103,87,59,83,90,78,60,39,24,24,23,21,23,46,69,79,79,91,101,117,120,117,58,81,104,111,86,39,20,35,26,29,25,47,76,93,65,71,100,116,131,140,63,73,95,121,107,51,19,33,22,30,24,39,82,142,114,112,125,124,129,135,80,76,80,106,112,72,27,14,22,28,20,27,70,173,162,160,157,138,133,135,116,121,111,104,111,95,49,11,26,26,25,27,52,168,167,169,171,149,147,154,154,182,168,125,115,117,78,30,27,25,34,41,48,158,158,162,166,149,158,171,169,177,180,161,165,161,109,74,50,16,14,35,73,120,148,143,150,146,150,150,171,167,172,169,178,173,136,126,95,68,54,67,92,112,116,109,127,123,127,127,182,164,164,167,174,162,138,151,142,134,114,113,131,123,100,95,116,110,114,117,186,167,160,156,156,144,127,146,153,163,145,145,165,144,107,110,119,112,115,121,1
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100,104,101,113,143,155,142,128,140,149,155,149,141,135,126,117,102,107,108,106,102,112,114,126,153,166,162,157,134,133,139,151,152,140,125,119,129,123,116,113,106,119,124,132,150,160,161,165,151,130,123,139,147,134,119,116,126,108,92,88,110,123,129,137,151,157,158,165,172,137,111,114,127,129,123,120,115,94,79,83,113,122,129,142,162,168,168,176,174,143,108,98,113,132,135,126,112,97,94,108,112,118,122,135,156,162,162,170,175,156,127,111,118,132,130,117,121,113,114,124,110,114,115,126,144,149,155,170,183,167,147,138,133,127,118,110,129,125,121,119,108,113,117,127,146,157,171,193,183,164,153,153,145,127,119,123,107,106,100,90,122,121,113,131,134,159,171,190,178,180,172,151,132,120,115,112,89,81,70,63,125,118,104,122,127,158,171,189,194,192,180,158,133,109,86,69,74,71,67,65,131,122,108,131,143,173,179,190,173,159,138,115,100,88,73,60,67,69,72,73,124,118,108,134,143,160,146,143,108,99,83,72,72,81,85,84,83,87,91,90,106,101,90,110,107,110,84,73,71,77,82,83,89,99,107,109,106,108,108,105,99,93,80,98,92,97,77,72,87,99,110,113,115,124,133,138,118,117,116,113,102,101,93,112,109,120,112,116,119,131,141,141,138,140,143,144,115,113,112,111,103,107,105,125,119,129,123,131,133,151,169,174,165,150,131,117,110,108,106,108,107,123,124,119,122,126,132,145,140,179,192,171,157,148,131,116,112,104,97,97,121,133,129,119,122,129,141,158,155,185,187,159,144,142,135,128,115,105,96,94,114,126,124,117,121,129,142,160,150,175,171,141,128,131,132,131,121,111,102,100,91,110,119,120,128,133,140,153,132,158,158,133,124,127,128,129,122,112,105,104,0
99,80,109,78,77,95,116,116,145,143,126,126,155,123,68,91,124,128,135,143,91,67,93,81,88,98,114,119,129,128,119,120,147,134,100,123,142,140,137,134,90,65,85,87,93,92,101,111,126,121,123,118,130,134,120,135,139,134,126,119,94,90,101,101,97,92,100,111,120,117,130,123,118,127,121,123,121,119,117,114,110,127,124,112,96,96,105,113,100,102,130,130,122,130,123,115,121,123,122,118,142,160,126,103,79,78,80,84,78,86,121,133,135,138,121,111,130,134,132,122,173,168,99,81,66,61,51,51,56,66,102,127,144,146,122,117,122,133,135,125,186,157,70,67,68,63,49,48,31,43,80,115,149,155,131,133,106,126,139,135,160,110,68,56,53,57,58,50,48,40,59,70,97,136,135,125,103,112,145,137,114,79,57,59,64,68,75,78,61,40,41,49,85,140,152,144,113,125,146,144,106,72,50,61,78,83,82,84,84,51,39,39,82,146,163,155,120,126,119,117,123,92,63,59,68,69,69,80,89,56,42,41,83,146,158,146,156,149,110,105,129,112,75,48,44,43,54,78,66,43,40,43,83,146,160,145,169,156,113,112,160,137,80,42,51,56,47,48,43,31,41,51,96,161,174,160,136,126,111,119,178,167,110,64,75,78,47,27,41,37,55,73,120,179,180,154,116,114,129,137,151,184,157,100,82,69,45,40,46,46,71,92,135,182,164,126,113,113,144,144,121,157,177,140,67,69,60,45,48,53,85,99,141,177,142,107,106,138,156,143,90,145,198,189,95,54,44,54,55,62,93,107,136,158,124,96,119,142,155,145,72,107,170,214,150,92,65,72,69,71,93,109,130,141,120,106,129,140,149,149,75,83,128,209,186,139,106,95,83,74,82,104,128,138,133,132,127,129,140,153,1
150,148,161,164,157,172,184,170,163,144,120,113,117,116,95,71,52,71,86,88,170,168,166,160,155,167,178,176,152,135,110,95,91,87,70,52,57,72,85,84,174,175,164,150,148,150,154,162,145,138,126,113,101,86,62,41,55,65,74,76,154,162,150,139,143,136,131,146,145,141,131,120,110,96,75,57,56,59,62,64,147,148,134,128,134,124,118,136,131,117,94,77,74,78,78,72,67,64,61,60,160,142,118,108,104,91,86,99,88,78,61,50,51,61,64,61,68,66,68,72,144,111,90,85,72,58,55,56,49,54,55,52,52,52,49,44,55,60,72,84,105,68,61,72,62,53,52,43,38,48,52,47,41,42,44,45,45,52,70,86,67,66,57,47,52,61,59,46,47,35,32,45,54,51,51,54,40,51,71,81,56,47,40,39,43,52,61,70,52,38,32,40,47,47,46,50,45,51,71,86,54,41,34,37,37,37,51,71,58,41,30,33,38,39,40,44,46,44,64,86,52,44,37,37,36,38,48,60,60,43,28,27,31,34,37,41,41,35,55,82,46,44,36,28,33,48,58,59,59,42,28,26,31,36,39,41,42,36,55,83,51,51,39,26,29,48,57,53,52,41,31,31,38,46,49,48,48,46,65,87,56,56,52,45,40,41,43,42,44,38,33,36,48,57,59,56,52,56,73,85,48,51,61,69,59,40,34,39,39,36,36,42,54,65,66,62,51,59,73,78,63,60,85,90,57,51,58,43,48,47,45,48,56,67,74,74,74,70,63,58,104,97,114,114,81,70,71,54,40,41,43,52,69,87,101,108,93,83,67,54,124,116,128,130,109,103,104,87,67,66,67,76,91,109,124,133,116,96,71,53,119,112,120,127,122,124,124,112,100,96,96,101,109,118,129,137,126,103,73,56,1
226,211,233,244,192,142,150,177,181,186,177,165,155,129,129,162,167,150,142,97,219,222,240,235,184,148,153,163,184,186,175,168,165,147,136,153,169,164,168,126,209,227,239,216,173,157,159,154,171,184,185,182,180,165,148,147,159,169,189,151,189,212,220,201,179,176,176,166,157,181,195,195,189,178,165,156,148,168,196,160,152,170,188,199,206,203,199,198,172,180,186,185,185,191,187,173,152,170,199,167,105,123,153,191,215,212,209,223,210,186,167,163,172,197,203,187,158,167,194,168,72,91,116,153,180,179,190,225,229,195,170,160,159,183,202,195,160,159,183,168,59,78,92,110,132,137,165,216,226,201,188,173,152,163,191,199,161,154,177,170,60,63,74,88,113,130,142,192,212,209,205,178,145,156,185,186,168,148,167,184,70,60,62,69,122,152,153,167,196,190,192,173,142,153,192,207,195,170,182,193,99,66,66,65,133,152,150,143,165,159,171,170,143,148,192,220,218,189,193,198,130,86,91,79,136,136,140,134,135,131,159,176,154,147,179,205,200,182,197,203,137,110,117,83,126,142,151,125,112,115,154,182,162,145,156,164,153,157,200,223,119,121,128,76,113,168,172,113,100,114,155,176,153,137,136,128,147,148,183,197,99,111,126,89,106,167,168,116,115,139,174,172,145,143,149,135,155,138,145,139,92,99,122,112,107,142,145,126,142,173,200,183,150,160,179,166,113,99,116,122,93,92,116,119,113,119,112,112,129,170,209,207,186,188,194,183,144,84,87,137,102,78,85,90,88,92,89,97,108,139,186,209,202,192,191,190,152,96,93,128,143,96,82,81,80,83,83,98,102,114,152,191,191,165,155,164,155,109,98,116,180,131,106,90,84,92,93,103,111,109,128,159,164,135,120,133,147,115,103,109,0
141,127,108,96,93,97,104,108,111,127,132,128,128,124,129,146,150,147,144,140,145,133,118,109,106,110,115,118,117,129,129,125,126,124,129,144,155,151,145,140,138,131,122,115,113,114,117,119,123,130,126,122,127,128,131,142,154,150,144,138,131,128,123,118,115,114,114,114,124,129,124,123,132,134,132,140,148,145,139,135,133,131,128,125,120,117,116,114,121,126,124,126,138,138,134,138,142,140,136,131,132,132,131,126,122,119,117,116,119,125,123,126,138,139,131,133,140,138,134,131,130,130,129,125,121,118,121,121,120,125,122,123,132,131,126,129,136,135,134,134,131,132,132,128,124,124,127,129,123,127,120,119,125,124,120,126,129,130,131,133,136,135,133,131,132,134,131,124,122,114,115,123,126,119,119,125,130,132,135,138,129,128,128,129,132,129,124,121,118,115,118,125,124,115,118,126,123,126,130,134,132,126,127,134,133,126,120,120,117,116,120,125,120,113,118,129,121,124,128,132,140,131,129,135,132,122,119,125,121,117,117,119,117,115,121,129,124,126,129,131,136,128,124,125,123,118,122,130,128,119,112,111,116,119,124,129,122,123,125,127,121,119,116,112,111,116,125,130,128,120,110,109,116,123,125,125,115,116,118,120,117,121,118,109,108,119,128,127,122,118,114,114,118,123,124,122,114,115,116,117,121,132,130,115,112,124,130,123,114,117,120,121,120,122,122,121,122,121,121,119,130,126,128,126,119,123,123,111,112,119,121,116,116,122,120,113,124,126,125,119,127,125,127,126,119,123,124,113,114,121,123,117,117,122,120,112,121,123,122,116,124,123,126,126,119,124,126,115,118,124,125,118,117,121,119,112,117,119,118,112,120,120,125,125,119,124,128,118,122,127,127,119,117,121,119,112,115,118,116,110,0
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174,183,195,203,198,187,181,183,194,190,190,198,203,204,205,207,206,205,204,204,180,185,193,198,192,183,178,181,188,188,194,201,204,204,205,207,205,205,203,202,189,188,190,190,183,175,173,175,180,182,190,200,203,202,203,206,203,203,202,202,198,192,187,180,172,164,161,164,168,167,172,185,195,199,202,205,198,198,195,195,202,189,176,167,157,148,145,146,145,138,139,156,176,191,198,202,195,193,189,186,190,176,159,148,139,130,124,124,116,108,108,123,147,166,179,186,190,187,184,181,169,153,137,127,120,113,106,104,96,91,91,101,114,128,143,154,162,163,165,167,152,137,121,114,108,101,94,92,90,88,89,91,91,97,111,125,125,130,138,145,147,122,102,100,99,91,84,85,89,85,84,85,85,85,87,92,92,99,112,125,149,124,103,99,97,90,86,86,86,83,81,84,84,83,84,88,77,81,91,101,148,124,101,92,89,85,83,86,86,81,82,85,85,82,82,85,74,73,78,86,149,126,102,90,87,85,84,87,87,86,86,89,90,84,83,85,79,75,77,84,156,135,111,96,91,89,89,91,88,86,86,90,88,84,83,85,78,73,74,82,164,146,121,104,95,91,90,89,87,84,83,85,84,80,79,81,74,73,75,83,178,163,139,119,105,98,92,87,87,83,81,81,79,75,75,79,77,79,85,92,197,183,159,137,119,109,100,93,88,84,80,80,79,74,75,79,79,83,90,97,203,197,188,172,150,124,100,85,81,76,72,74,76,75,75,78,79,82,91,101,210,206,201,190,172,145,117,97,86,79,73,74,74,73,74,78,82,85,95,105,211,211,210,208,197,172,139,115,96,87,79,77,76,74,76,81,85,88,99,111,205,206,209,214,210,188,154,127,108,97,87,82,79,78,81,86,86,90,102,115,1
158,153,146,138,136,149,174,197,201,186,175,178,182,179,178,181,188,186,186,186,160,157,151,141,135,145,167,187,200,195,192,192,191,187,186,189,189,188,186,186,162,162,158,145,136,141,158,175,188,196,202,199,194,192,191,189,193,189,184,181,163,166,161,148,136,140,153,165,174,187,193,190,187,194,197,195,197,192,180,170,164,168,163,149,138,140,148,153,156,162,158,152,157,179,196,202,198,192,176,157,165,170,165,151,141,139,136,131,119,115,106,99,106,128,153,168,179,180,169,148,167,172,169,155,144,135,117,100,84,85,86,84,79,79,91,104,137,151,156,145,168,174,172,159,147,131,104,77,76,88,105,110,91,64,55,61,100,124,144,143,161,159,164,160,141,122,100,75,78,92,111,114,95,67,48,43,70,101,129,132,154,156,165,162,141,125,109,89,84,86,92,95,89,79,74,74,66,85,109,121,151,157,169,166,147,133,122,105,101,92,86,86,86,82,78,77,64,74,95,114,150,157,170,167,151,139,124,101,113,108,106,109,106,93,78,68,78,92,111,121,153,158,167,166,153,143,120,88,103,107,117,126,123,107,90,80,98,120,134,126,165,169,176,174,164,157,132,96,92,96,104,111,108,98,91,89,112,132,139,120,172,178,188,184,175,172,153,122,106,101,97,97,96,95,97,101,133,138,135,122,168,178,189,183,174,175,165,140,132,120,109,107,111,116,123,130,159,148,139,140,179,177,187,175,186,172,170,155,137,129,114,115,139,155,160,166,169,165,166,172,184,180,186,172,183,172,172,160,150,146,135,137,159,172,176,182,183,180,180,185,189,183,185,170,180,171,174,163,162,164,158,162,181,190,192,199,199,195,196,201,190,185,186,171,180,171,174,164,163,170,170,176,191,197,196,204,204,200,201,207,1
60,60,63,65,63,60,66,75,73,72,69,72,77,69,70,87,93,86,80,79,58,59,63,66,65,62,68,76,67,66,63,68,76,68,67,80,88,83,82,86,65,66,71,75,72,68,70,75,64,62,57,62,72,66,61,70,74,73,77,85,88,91,96,101,98,88,83,83,76,71,60,62,72,67,59,63,73,72,76,84,110,114,123,130,127,116,106,102,102,95,80,75,83,79,68,70,80,77,77,81,117,121,129,138,138,129,121,118,127,122,107,100,106,101,90,90,80,74,69,70,126,125,130,136,138,133,129,128,137,138,128,123,128,123,112,111,88,80,73,72,142,138,137,140,141,138,137,139,136,142,137,135,141,136,124,121,110,102,96,94,152,150,147,147,150,152,148,142,135,140,144,145,145,143,136,127,128,125,121,118,152,149,145,146,150,152,149,145,144,148,150,146,143,141,136,130,137,135,132,129,146,143,141,142,146,147,145,143,149,154,154,147,140,138,137,134,139,138,135,133,139,137,138,142,144,141,136,135,147,154,156,151,144,144,145,145,139,138,137,135,139,137,142,149,148,140,133,131,140,150,156,154,151,152,155,155,142,142,141,141,143,142,148,158,157,146,138,139,135,142,147,147,146,149,150,149,142,143,143,143,147,145,150,161,160,151,147,151,147,150,149,145,143,145,145,143,142,143,143,143,148,144,148,159,159,152,152,159,170,168,161,153,150,152,151,147,145,145,146,146,147,148,148,147,146,144,143,142,154,163,169,166,156,151,151,153,155,151,145,141,144,145,144,140,134,128,126,127,142,152,162,166,164,162,162,162,153,151,147,145,129,136,140,138,132,128,132,137,137,143,154,166,171,172,170,168,162,162,161,159,119,129,139,140,135,136,144,153,141,142,149,163,173,174,169,167,170,172,174,173,0
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74,75,82,89,105,130,137,121,107,109,105,96,93,110,146,177,169,175,195,216,55,42,48,88,129,137,120,107,96,101,94,82,94,132,172,193,166,170,181,194,22,39,60,94,123,113,95,102,114,130,136,132,149,184,200,195,185,184,178,169,33,77,87,84,105,117,125,149,179,194,203,206,212,220,212,196,206,203,186,161,80,97,85,89,142,184,201,222,232,227,224,224,220,213,210,211,209,211,198,174,89,96,109,155,212,229,228,240,225,214,210,214,210,200,202,212,206,215,214,200,91,118,167,215,232,223,211,215,203,203,207,211,210,203,194,190,199,211,219,214,123,157,199,214,209,211,211,200,211,214,213,206,205,203,190,175,185,198,212,214,171,192,208,210,207,209,211,208,205,207,209,208,207,204,199,197,187,190,238,192,176,199,216,215,209,211,212,210,206,207,208,208,206,204,201,199,184,165,164,104,160,187,210,212,206,206,209,209,208,208,207,207,206,205,204,203,208,180,129,62,130,162,193,202,200,202,207,208,209,208,206,205,205,206,207,208,210,206,138,68,111,146,182,196,197,201,205,207,210,209,207,206,206,206,209,210,198,226,168,80,111,144,176,188,189,194,198,199,209,208,207,206,207,208,209,210,204,237,194,88,129,155,177,184,185,191,198,198,208,208,208,207,207,208,208,208,204,220,196,92,148,168,185,187,189,197,206,209,207,207,208,207,208,208,206,206,210,208,200,111,136,166,176,180,201,209,202,208,206,210,206,204,210,209,208,216,211,217,184,147,138,160,165,164,183,198,206,222,212,219,214,208,211,209,209,220,217,218,194,172,148,167,166,159,165,176,190,208,211,221,216,204,201,199,203,218,221,210,190,183,149,168,176,168,160,160,170,182,198,213,208,192,185,184,193,211,208,186,169,175,0
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196,189,179,172,167,163,160,159,155,155,157,159,159,155,149,145,149,150,152,155,196,189,181,173,169,165,163,161,158,158,156,156,155,153,149,146,150,151,153,156,195,189,181,174,171,168,166,164,162,160,156,154,153,151,148,147,148,150,154,157,194,188,181,175,172,170,168,168,163,162,159,157,155,153,149,146,147,149,152,155,192,187,181,175,173,172,171,170,166,165,164,164,163,158,152,148,146,148,152,155,193,187,182,177,175,175,176,175,169,169,170,171,170,165,158,153,151,153,155,158,195,189,184,180,179,180,180,180,175,176,175,174,174,171,166,162,159,160,164,166,195,191,185,182,181,183,184,184,181,179,176,175,174,174,171,169,167,168,170,172,198,196,190,185,183,183,188,190,181,178,176,177,180,181,180,177,175,177,177,177,203,199,192,188,184,184,185,187,185,184,182,180,181,181,181,180,187,187,187,186,204,201,195,190,188,187,188,189,192,191,189,185,182,179,181,182,193,192,188,187,202,199,196,193,192,193,194,195,194,195,193,187,180,177,178,182,191,189,187,185,201,200,199,196,196,195,196,196,193,195,193,187,179,176,176,178,187,186,185,185,205,204,203,199,197,196,194,194,193,193,191,187,183,178,178,177,181,181,183,184,204,203,203,201,199,197,194,194,195,194,192,191,190,186,181,178,179,181,184,186,199,200,201,201,200,199,198,198,197,195,194,194,196,192,185,181,187,189,192,196,204,203,201,200,200,201,203,204,203,202,201,200,198,196,195,195,200,200,200,200,204,203,201,200,200,201,203,204,204,203,203,201,200,199,198,198,201,201,201,201,204,203,201,200,200,201,203,204,204,204,204,203,203,202,202,202,202,202,202,202,204,203,201,200,200,201,203,204,203,203,203,204,204,204,204,204,204,204,204,204,0
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101,91,76,66,59,54,50,50,57,73,60,53,76,75,62,73,66,66,42,86,111,109,92,76,67,55,49,55,59,73,61,49,63,73,68,71,77,72,58,74,116,127,114,94,85,65,49,58,48,56,54,46,52,65,68,61,77,70,78,62,109,134,132,117,108,81,56,60,43,40,47,55,53,59,65,60,65,60,86,56,96,127,142,139,130,100,68,58,60,42,46,62,60,54,63,74,63,57,81,51,84,109,139,150,141,120,90,62,72,54,46,53,54,47,57,81,71,66,71,53,73,85,125,148,142,140,122,81,58,62,49,41,52,51,55,76,69,76,63,71,65,67,111,143,141,153,149,101,39,67,58,42,61,67,61,72,59,79,61,90,66,75,89,111,138,155,146,126,82,50,58,54,39,88,62,64,66,51,95,65,68,74,83,98,123,145,148,138,109,60,67,43,53,59,60,54,55,58,87,65,70,74,77,84,104,133,148,150,134,84,65,45,55,46,56,49,45,72,80,76,67,75,77,78,92,120,144,153,142,114,57,58,47,63,56,45,40,80,78,90,63,75,82,81,88,111,134,146,144,135,78,61,53,75,62,40,39,71,73,93,59,74,84,83,87,106,127,138,150,146,122,61,70,70,66,43,43,44,65,85,57,72,81,80,83,101,124,136,155,157,154,80,72,64,54,61,53,22,64,79,58,71,78,74,78,99,123,135,155,165,161,108,60,68,38,83,63,12,68,81,59,67,72,69,78,100,123,131,149,159,152,138,73,50,56,97,80,23,26,73,58,66,69,65,73,96,120,129,147,155,152,148,90,54,44,78,85,32,33,68,57,65,66,59,66,89,116,126,140,143,146,157,116,62,34,61,88,47,42,60,58,65,65,56,61,85,113,126,133,129,135,156,136,70,33,58,85,58,49,55,0
188,180,182,191,190,185,189,200,207,203,203,209,215,212,203,196,194,197,197,192,186,184,184,188,189,188,194,200,212,210,210,211,211,210,210,210,191,194,192,187,185,188,188,185,186,192,199,199,213,211,208,206,206,207,205,203,192,198,201,199,184,193,193,182,183,194,199,195,202,203,206,211,217,219,211,201,214,207,194,181,186,196,195,183,182,194,197,190,196,209,222,221,215,206,196,187,211,190,156,126,188,197,197,187,186,194,198,192,209,223,221,192,153,127,115,110,133,133,127,119,188,194,197,193,193,199,200,198,205,193,159,111,74,57,48,40,53,86,125,148,187,192,196,198,200,202,203,204,175,136,78,39,39,55,54,39,37,81,131,155,199,199,200,195,191,201,198,177,123,71,36,16,28,60,58,47,48,67,139,164,198,198,203,200,197,203,194,168,100,62,43,26,29,50,44,36,47,66,134,167,196,199,205,207,206,208,191,158,95,66,59,42,33,43,38,38,40,61,125,166,200,201,207,209,209,210,189,153,101,73,67,51,36,38,37,44,43,73,131,174,205,204,209,209,208,210,191,157,96,64,58,48,35,35,32,42,64,108,155,189,208,208,209,208,206,210,196,167,94,58,55,51,41,38,32,41,85,141,175,193,210,210,211,208,205,210,201,175,114,73,65,58,46,39,36,49,100,161,178,182,208,210,213,210,205,210,204,180,140,92,74,59,40,34,36,57,110,172,177,173,212,209,209,210,211,209,204,198,162,120,96,58,36,39,51,96,150,162,211,196,212,209,209,209,210,209,206,201,180,145,126,98,88,102,114,148,164,174,215,205,212,208,207,207,209,209,209,206,195,168,149,128,132,155,164,180,168,176,206,203,211,208,206,206,206,209,211,211,204,180,152,133,144,169,175,172,164,171,189,194,1
127,118,127,157,176,168,153,149,148,138,132,136,149,155,151,143,128,135,141,142,132,131,144,163,173,163,151,147,143,132,122,125,136,146,147,145,122,136,149,150,129,140,153,162,162,157,151,147,140,130,122,124,131,138,140,138,122,141,155,153,125,138,148,148,148,151,151,146,139,136,134,134,137,135,131,126,128,141,151,146,139,146,146,138,138,147,146,139,137,137,138,138,136,131,127,125,136,140,140,134,158,156,147,136,135,139,136,129,132,134,135,133,130,130,135,140,154,148,136,125,152,147,141,133,131,129,127,125,131,136,140,141,139,141,149,156,167,159,143,128,130,128,129,128,125,122,122,126,130,141,153,158,156,155,158,163,166,161,149,138,110,114,117,116,115,117,125,130,131,153,167,162,157,161,161,156,150,150,150,150,110,112,115,116,118,121,124,129,138,150,156,152,152,160,160,154,137,137,138,138,112,112,112,115,119,123,125,126,138,141,139,138,144,154,152,144,129,128,128,127,121,118,115,115,118,124,128,130,133,133,132,133,138,141,136,130,127,126,123,121,136,133,127,122,122,126,136,143,143,144,146,147,142,132,124,121,130,129,128,126,144,147,144,136,128,131,145,160,164,162,165,163,151,133,124,125,144,145,147,149,140,150,157,147,133,132,151,170,174,167,164,164,152,137,133,140,154,157,162,166,130,148,161,152,134,132,152,174,173,159,151,153,147,139,142,154,155,159,164,169,124,133,134,134,139,144,155,175,176,155,152,153,142,147,152,137,142,162,158,151,157,153,136,126,129,138,155,179,186,166,157,147,133,142,147,128,132,152,145,135,189,173,143,126,127,135,150,174,177,164,153,136,124,147,158,134,137,155,147,130,199,181,151,136,138,138,144,161,161,156,148,127,121,155,171,143,152,171,158,137,0
138,136,135,137,138,138,142,148,162,158,156,149,135,138,145,141,140,157,167,160,132,133,133,133,141,156,166,168,171,171,174,167,148,139,143,148,145,160,168,164,135,139,137,133,142,162,177,181,185,184,186,183,161,140,146,164,160,170,174,167,137,138,137,134,136,148,165,178,190,186,187,191,180,157,158,184,168,173,172,164,120,120,126,133,133,133,150,172,175,173,176,197,209,187,176,196,165,165,163,158,110,114,124,136,138,134,140,153,133,137,146,182,217,203,179,189,167,162,154,149,146,155,158,153,149,145,127,105,80,87,92,130,182,180,158,165,159,149,136,128,198,211,201,173,160,153,110,58,42,48,44,76,134,145,132,143,138,126,113,108,193,212,190,186,178,159,85,43,33,27,41,45,64,103,114,115,131,112,111,122,155,184,187,188,183,154,81,38,29,26,34,28,42,75,97,126,145,135,140,152,126,157,184,189,191,146,79,29,31,38,41,31,39,56,83,142,180,178,181,187,135,151,182,186,198,149,94,39,24,35,42,34,40,38,57,129,199,206,203,196,155,148,166,170,188,155,117,68,33,39,44,38,42,32,45,116,178,199,197,183,156,136,141,148,156,145,128,99,58,49,46,38,38,35,53,117,156,192,193,175,163,146,143,151,130,130,130,124,83,61,55,45,38,47,76,129,153,193,187,156,183,174,169,174,127,127,132,144,120,94,94,82,69,86,120,165,154,190,169,122,178,197,190,151,148,152,126,122,134,145,126,123,119,126,166,175,157,161,128,80,175,179,165,135,143,153,131,133,146,162,155,161,160,160,184,184,155,148,112,73,170,161,146,130,149,155,131,136,151,166,167,177,181,180,190,183,166,145,105,79,167,154,146,146,165,156,123,130,151,156,157,163,170,177,183,178,177,148,109,92,1
146,142,145,139,117,97,81,63,73,67,71,89,108,114,115,115,125,116,103,91,147,143,145,134,105,80,64,46,61,59,67,90,109,117,116,114,120,111,98,86,142,141,142,126,88,60,45,31,44,45,56,83,106,116,115,112,114,104,90,79,135,136,137,117,75,47,36,27,29,32,44,70,97,112,115,112,109,100,86,75,134,133,133,109,66,37,31,27,25,27,36,57,86,108,118,116,108,97,83,73,139,135,131,103,57,30,26,24,29,29,33,49,78,105,119,120,106,94,79,68,140,134,124,96,51,27,24,23,30,30,31,42,71,100,115,117,102,89,73,63,138,129,119,89,47,25,26,25,29,27,28,38,64,95,110,111,100,86,68,59,134,136,116,73,37,25,25,24,25,24,26,39,66,95,110,113,97,85,70,59,132,133,110,64,26,16,20,22,29,26,30,48,79,105,113,108,94,83,70,59,127,126,100,52,17,12,20,24,28,29,40,65,97,118,115,103,93,83,72,62,125,118,89,43,15,15,23,25,25,33,53,81,109,124,116,101,95,86,75,67,122,115,86,45,22,21,25,22,26,41,65,91,113,121,112,99,93,85,75,68,115,114,95,60,36,32,32,28,38,53,76,95,110,114,105,94,87,80,71,66,99,116,114,86,58,50,53,54,59,69,81,94,105,108,97,85,82,76,69,65,85,114,129,107,76,68,75,82,76,78,83,91,103,105,93,77,80,76,70,68,67,92,141,107,90,77,82,71,76,80,92,106,108,97,86,82,76,70,67,69,69,86,133,110,93,79,82,75,78,82,91,103,105,96,89,86,78,72,70,72,74,77,122,116,97,82,83,80,83,85,90,95,95,88,84,83,79,74,73,76,78,67,111,123,100,85,84,85,88,89,89,87,82,76,74,73,79,75,75,79,1
170,164,169,175,176,189,208,211,215,212,207,208,208,205,200,194,186,174,158,146,189,184,175,157,155,183,208,207,212,210,206,208,208,204,198,192,183,172,159,150,196,204,195,166,159,194,221,214,208,207,205,207,208,204,197,191,180,171,159,151,173,191,203,188,177,199,222,220,207,205,206,208,208,205,196,189,181,172,159,151,144,155,173,174,159,165,194,215,208,207,207,209,209,205,195,189,180,171,159,150,142,130,135,138,122,125,168,212,211,209,208,208,207,203,195,187,176,168,158,151,148,123,118,123,116,126,173,217,213,211,207,206,204,199,191,185,172,165,156,151,142,120,117,128,132,149,188,221,213,211,205,203,201,197,189,183,172,165,155,150,134,142,136,136,161,190,208,219,200,208,211,209,204,199,191,183,166,163,160,158,140,144,148,155,167,189,209,218,199,205,206,202,195,189,181,172,166,162,156,153,139,134,151,168,167,183,208,212,206,208,206,198,190,185,177,169,168,161,151,144,143,127,149,174,171,184,209,208,208,209,204,195,189,184,177,170,165,156,142,130,165,142,158,184,183,197,217,209,204,203,196,187,182,179,173,164,152,142,128,116,184,166,173,189,195,206,215,205,203,200,192,181,176,172,163,154,132,124,113,104,186,187,189,194,202,212,212,205,203,198,187,174,166,158,146,135,120,114,106,100,184,198,201,199,211,218,215,212,199,192,179,164,152,142,127,114,118,113,105,100,200,203,204,205,208,209,203,193,181,172,170,164,149,139,130,117,120,114,102,92,211,213,212,211,213,212,204,194,170,160,159,154,138,128,120,107,106,106,103,97,212,214,212,209,207,205,195,183,163,154,152,144,126,113,106,94,89,97,102,102,209,209,208,202,200,196,185,174,169,159,155,143,120,105,96,84,78,92,102,103,0
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161,174,165,171,196,181,150,153,157,142,155,162,145,159,178,166,143,144,150,157,147,162,150,149,180,186,167,166,163,153,164,167,154,167,184,168,138,152,161,158,146,159,141,130,158,178,170,166,152,151,165,168,160,173,176,151,129,151,159,146,149,152,132,119,131,140,136,136,140,145,161,172,178,192,184,151,133,150,161,157,124,115,102,97,94,84,81,91,96,100,111,129,154,179,179,156,126,133,150,171,89,73,65,68,59,43,41,51,40,41,42,58,91,125,146,151,129,130,150,180,92,71,61,57,47,38,35,31,28,27,22,29,49,74,107,138,148,154,170,186,122,100,79,63,52,52,45,26,24,26,22,19,23,31,62,106,140,156,170,170,155,115,95,88,66,52,48,37,27,35,33,26,25,28,47,76,113,153,150,130,162,139,113,86,64,58,59,52,53,39,21,24,41,44,40,47,107,140,129,100,155,153,125,88,73,72,68,65,45,35,25,40,65,72,72,85,132,151,130,98,164,167,139,109,104,92,67,58,45,45,50,75,106,115,121,137,140,141,124,111,194,182,150,134,138,113,73,58,48,54,72,115,165,183,182,184,164,154,151,167,193,173,150,145,153,138,106,87,68,100,132,162,192,203,199,201,161,150,157,181,165,157,155,155,156,158,145,120,127,167,186,174,161,155,152,156,164,162,171,180,151,161,177,171,158,169,165,132,149,171,164,135,127,134,132,127,139,148,159,154,168,190,202,178,166,174,158,139,146,131,121,130,146,150,142,133,144,151,158,162,163,180,189,172,162,167,157,143,160,148,141,145,150,147,139,132,152,157,163,164,151,167,177,176,170,164,155,144,151,149,152,156,156,150,147,148,146,150,155,156,140,158,173,191,187,166,153,138,133,142,154,162,158,151,154,161,131,136,143,145,1
95,94,96,100,106,110,109,107,110,107,104,100,98,99,99,101,106,106,105,105,97,96,96,100,106,110,110,109,111,109,106,103,102,101,101,101,109,109,109,109,97,97,99,102,107,110,111,110,112,111,109,108,106,105,103,102,110,110,110,110,96,98,102,107,110,111,110,109,112,113,113,112,110,107,105,103,108,107,107,107,93,98,105,110,112,110,109,107,113,114,114,114,112,108,106,104,106,106,106,105,94,98,105,109,109,108,109,109,113,114,114,113,111,108,106,104,108,108,107,107,98,100,103,103,103,105,110,114,113,113,112,111,109,107,105,104,109,109,108,108,102,102,101,98,97,102,110,118,113,112,111,110,107,105,104,104,108,108,107,107,103,102,101,99,99,101,106,111,115,114,112,109,107,105,103,102,101,103,106,108,105,105,102,100,98,99,103,107,112,112,110,109,107,106,105,104,102,104,108,111,108,106,104,101,98,98,101,104,108,108,108,108,107,107,107,107,105,107,111,115,107,106,104,101,99,99,102,104,105,106,106,107,108,108,109,109,108,110,113,116,105,105,104,102,102,102,105,108,104,105,105,106,107,108,109,109,111,112,113,115,103,104,105,104,104,106,109,111,105,105,106,106,107,107,107,107,110,111,111,111,105,106,107,106,107,108,110,113,107,107,107,106,106,105,105,105,108,108,108,108,107,108,109,108,108,108,110,112,109,108,108,107,105,104,104,103,106,106,106,106,112,110,113,118,119,116,114,116,107,109,108,103,102,104,103,99,102,103,104,105,110,111,117,125,126,121,117,117,109,111,109,103,102,104,101,98,102,103,104,105,108,112,121,132,135,128,122,120,115,116,114,108,105,105,104,98,102,103,104,105,107,112,123,136,138,133,127,125,123,124,121,114,110,109,107,102,103,104,105,106,0
80,54,76,96,103,114,103,91,64,95,86,104,125,107,93,76,68,71,78,83,74,57,86,113,123,127,101,80,75,102,95,107,117,97,85,74,58,60,68,76,62,64,102,120,117,112,90,77,92,109,103,107,106,85,76,70,63,61,65,73,55,76,114,109,87,82,82,99,120,116,106,103,95,77,68,66,75,69,66,70,60,86,112,94,76,82,98,130,156,125,106,96,86,74,63,60,76,68,62,64,67,86,98,83,90,112,123,148,181,127,100,86,76,72,60,60,74,70,70,75,78,97,103,89,111,142,149,171,180,112,84,70,61,66,60,66,76,80,90,101,93,118,125,106,124,156,169,198,164,91,69,55,47,60,61,74,75,85,103,119,99,123,139,132,122,131,160,182,120,79,63,65,58,60,71,70,73,107,119,118,83,115,148,155,145,139,142,147,112,76,57,63,64,65,74,85,83,130,141,123,88,110,133,140,137,136,140,145,107,77,55,63,75,68,73,96,98,154,163,130,87,92,97,100,107,121,139,151,105,82,60,70,87,71,68,97,121,172,178,146,70,71,76,87,98,108,115,119,100,84,67,77,94,77,71,97,140,180,186,164,77,74,79,89,97,97,93,90,91,78,69,82,95,88,87,104,137,177,185,170,93,84,78,82,86,85,81,81,83,69,70,83,90,98,108,112,125,178,191,168,86,75,68,71,76,73,70,70,81,66,71,82,84,102,121,116,119,189,207,172,74,68,71,83,87,75,64,63,66,65,68,58,74,100,107,130,113,174,209,191,65,57,56,65,71,65,62,65,51,54,66,64,77,98,112,146,99,156,210,217,85,72,63,63,65,63,65,71,61,62,77,77,77,82,94,139,96,130,195,223,107,93,79,73,72,72,77,85,83,76,88,88,79,66,72,120,106,112,175,212,0
105,111,111,114,117,107,101,109,105,122,130,120,120,135,151,155,140,129,133,94,129,122,109,118,141,141,114,96,88,100,106,101,100,109,118,120,115,110,128,108,128,124,109,106,122,120,92,69,44,52,62,69,79,92,110,123,118,117,143,135,109,127,120,90,69,58,53,53,54,54,54,54,54,61,83,106,112,108,131,117,113,129,113,72,43,37,45,59,62,64,65,56,44,42,61,84,98,97,117,92,120,110,76,49,49,55,55,57,38,51,64,61,52,52,65,80,88,101,127,96,109,90,60,47,59,63,54,52,47,63,72,66,61,62,64,64,68,96,130,91,96,92,78,68,66,55,49,60,55,68,72,65,66,76,79,71,60,95,131,87,115,92,66,56,52,52,61,73,59,54,59,73,85,82,74,71,72,104,118,107,122,99,72,55,47,46,55,67,59,59,60,63,64,62,67,76,77,108,119,106,132,115,91,68,50,46,54,65,62,60,61,63,63,65,74,83,79,109,114,99,133,132,117,87,59,45,50,59,72,69,69,74,81,82,78,76,90,120,122,101,131,141,137,104,66,46,44,47,67,73,78,79,77,74,72,69,115,145,148,127,135,151,147,117,83,64,58,54,45,62,76,72,64,67,82,96,135,160,165,152,139,148,141,117,99,97,91,80,50,65,78,81,85,100,118,131,142,157,161,159,134,136,123,105,105,119,117,102,88,90,92,103,123,142,146,140,144,151,152,158,143,145,131,120,125,123,108,98,101,106,92,104,115,111,126,139,137,142,143,137,146,144,130,123,128,123,113,112,97,103,90,101,111,103,115,126,128,133,134,130,138,132,119,117,121,113,110,122,108,113,99,110,118,108,117,125,126,132,134,130,130,119,107,109,112,102,107,130,124,127,110,119,127,118,126,134,127,134,136,133,1
167,163,167,180,185,175,165,161,142,144,176,170,169,157,165,139,126,114,93,76,189,175,169,176,184,178,164,153,148,146,160,173,164,172,172,157,127,117,107,103,180,176,178,184,186,175,157,142,141,143,149,183,177,195,181,174,158,144,137,143,165,175,184,188,180,167,158,154,139,138,143,175,185,202,196,196,200,177,162,167,174,175,181,183,175,161,154,157,147,140,145,155,190,200,213,216,205,182,166,169,169,165,175,191,182,144,112,101,122,126,144,155,211,215,219,207,184,171,164,168,156,157,179,198,169,101,55,46,62,83,99,132,198,226,207,185,173,170,168,167,162,167,187,193,137,57,26,45,18,38,33,79,148,212,193,177,175,176,171,161,173,166,154,173,114,34,45,39,30,29,27,26,68,158,206,184,174,171,168,169,174,164,156,177,120,39,44,39,27,34,39,29,46,122,187,192,182,182,184,187,183,170,161,179,126,41,30,29,24,34,45,37,40,101,169,189,168,171,176,180,177,165,157,173,130,50,28,28,29,29,41,48,57,109,165,180,173,177,181,180,149,141,138,153,129,67,41,44,38,31,42,53,68,115,165,178,184,186,186,183,126,124,121,127,118,78,48,52,47,41,50,57,63,110,164,182,178,178,178,176,111,113,109,102,104,82,50,52,53,46,52,57,69,118,167,176,184,184,185,187,93,101,97,86,96,88,59,60,56,44,48,60,84,136,171,163,188,188,190,195,101,98,94,94,93,90,82,75,57,48,40,54,100,152,174,173,191,194,196,197,89,86,87,90,92,97,113,130,76,70,66,81,123,172,196,196,189,191,196,200,79,76,81,88,83,82,114,153,123,119,114,123,153,189,210,211,195,195,195,195,71,67,78,90,77,63,93,141,153,150,145,148,167,192,208,211,204,200,195,191,1
171,159,149,152,154,140,112,88,104,96,110,127,127,138,140,119,129,138,130,119,160,152,143,131,115,95,76,65,74,65,72,83,89,115,141,140,123,129,123,118,147,135,116,93,75,65,59,58,65,55,55,54,56,83,121,139,133,135,129,128,152,127,91,65,58,62,63,61,69,65,62,56,49,60,89,111,139,138,130,130,156,133,96,64,56,59,58,52,67,69,67,62,56,56,69,90,123,126,121,119,139,131,107,76,57,54,51,47,77,77,72,72,74,65,63,78,103,119,124,122,137,127,103,73,56,57,54,47,84,84,77,83,95,79,58,63,87,120,137,136,161,135,92,60,55,64,58,43,72,75,72,88,110,90,57,52,70,114,140,138,171,130,87,64,57,66,70,61,73,67,84,95,124,128,77,59,64,95,122,127,154,127,91,73,74,75,69,61,69,73,82,86,119,129,85,73,58,85,108,111,156,137,93,66,72,70,62,68,75,96,96,85,115,120,75,62,55,78,98,100,152,143,99,68,75,68,55,70,81,117,113,94,114,110,64,44,61,80,97,102,141,146,119,97,100,82,59,68,86,124,115,98,111,109,80,56,67,82,98,105,165,166,142,116,106,87,72,78,101,125,112,97,99,105,101,75,58,69,84,93,184,174,149,120,97,86,88,93,108,115,103,98,89,99,113,81,52,62,77,91,161,152,144,126,102,94,100,100,95,95,90,99,88,97,122,84,60,70,87,105,161,162,165,146,107,86,88,93,92,76,76,91,98,100,97,87,69,69,60,84,174,172,177,165,130,101,82,67,63,50,54,73,83,91,97,94,81,80,59,66,177,172,178,177,158,133,103,74,56,42,46,61,67,75,86,91,92,100,74,65,179,170,172,175,169,159,135,105,66,51,52,62,62,65,80,91,87,110,94,81,1
146,162,171,176,171,153,144,152,178,177,178,182,182,177,177,180,175,177,180,183,145,152,160,173,180,170,165,178,188,184,183,186,186,182,181,183,176,177,178,180,153,152,155,173,184,172,164,179,197,190,186,187,187,180,176,174,174,174,173,172,154,150,152,167,174,157,149,165,202,196,191,191,189,179,170,166,170,168,165,162,148,144,143,152,158,148,151,175,199,195,194,196,194,183,173,169,163,161,157,154,160,157,148,147,151,151,163,187,183,182,184,187,185,178,174,174,162,160,157,154,181,181,171,162,166,168,169,179,172,172,172,172,168,164,167,174,166,165,164,163,186,193,188,182,188,188,175,167,175,173,171,166,159,155,164,175,171,170,170,170,153,161,180,187,180,183,186,178,179,173,175,169,146,139,158,177,170,171,172,171,142,150,167,178,178,181,177,165,177,168,165,159,144,143,158,164,160,161,162,162,138,146,159,172,182,187,181,169,179,165,154,144,137,144,150,143,146,148,151,152,142,150,153,160,176,187,189,188,186,170,152,134,127,139,143,130,145,148,153,155,149,155,145,138,154,169,179,195,191,177,158,137,125,135,144,136,150,154,159,162,159,164,143,127,143,155,166,188,191,178,165,147,132,138,150,150,148,150,153,155,165,171,148,133,153,162,162,180,187,173,164,154,139,136,146,149,145,146,146,144,160,170,148,140,167,173,163,174,184,167,161,157,141,132,135,139,149,149,147,142,169,161,167,146,138,162,175,182,192,163,168,160,144,146,134,120,126,140,149,148,165,170,184,157,136,160,188,212,196,171,178,169,152,156,150,141,120,131,138,137,155,166,185,157,134,158,185,208,186,167,178,168,150,157,157,153,129,135,136,134,151,155,171,151,140,162,170,173,169,158,175,164,143,150,153,151,144,145,140,135,0
163,154,144,134,116,94,77,72,73,65,72,89,100,115,131,134,116,132,122,122,152,138,114,94,80,72,64,61,75,61,54,56,65,91,127,148,130,140,125,125,150,131,96,65,53,60,63,59,66,60,54,50,50,64,92,117,135,143,123,122,150,135,101,64,51,60,64,58,66,71,70,64,59,56,67,86,122,136,120,118,139,132,106,71,55,58,56,46,79,85,77,70,70,65,68,88,101,128,126,127,139,127,102,74,59,56,50,40,79,87,78,77,88,76,59,67,83,124,135,140,155,128,91,68,61,62,56,50,67,80,76,90,115,95,54,46,68,115,131,138,173,129,81,59,60,65,63,60,62,74,71,92,132,119,74,63,58,104,120,126,159,129,88,72,77,71,61,68,68,76,86,81,115,133,89,78,62,87,107,109,156,134,89,65,72,67,56,65,73,85,96,86,109,119,75,54,54,76,94,93,142,139,98,69,79,74,58,69,85,104,112,96,107,113,72,44,59,80,98,100,143,155,121,89,95,84,62,70,97,116,120,103,104,111,87,54,65,84,103,109,164,174,145,108,99,85,68,74,102,117,113,98,94,106,101,72,55,68,87,97,171,171,149,118,96,85,87,96,106,112,103,96,91,101,110,84,52,59,77,96,167,155,150,132,97,87,101,107,98,98,89,96,91,96,113,87,64,65,78,101,170,152,160,151,103,83,96,94,81,78,72,92,88,88,107,81,70,63,68,86,158,176,174,169,137,95,80,68,54,57,53,79,90,89,105,84,82,86,72,58,173,177,166,171,160,127,102,72,53,49,44,68,73,71,92,84,90,95,80,63,183,180,163,171,174,155,136,106,74,57,48,65,64,59,84,92,90,101,95,84,180,183,168,168,167,161,165,153,107,73,57,68,63,57,80,99,88,105,110,108,1
73,80,90,85,66,74,109,135,124,106,113,108,106,125,138,152,137,126,122,131,81,88,90,86,81,85,104,122,125,112,135,137,126,132,128,122,141,136,135,138,75,88,81,78,90,94,96,112,114,109,149,154,128,131,131,123,130,137,142,141,71,92,82,71,87,86,83,104,106,102,141,141,112,127,150,154,130,145,154,150,79,107,98,80,85,80,79,104,118,103,125,122,112,138,154,153,147,158,162,154,77,105,108,94,94,91,95,111,124,104,103,106,127,154,141,125,149,147,139,128,66,86,100,100,101,103,101,95,89,82,76,77,119,151,134,129,152,135,116,107,65,76,92,99,99,99,84,56,41,53,50,46,95,134,139,165,172,145,122,118,67,68,92,108,89,62,55,56,36,37,45,55,62,85,130,174,164,156,140,134,81,75,80,78,52,30,26,26,33,35,41,46,47,55,85,115,138,141,132,126,87,75,65,47,22,16,20,19,26,27,35,43,41,40,54,71,103,117,113,101,89,79,61,36,15,18,28,25,24,26,32,38,38,36,41,50,70,95,98,81,96,87,72,42,17,17,22,12,30,28,27,27,26,23,26,31,44,78,89,76,94,89,81,57,29,21,21,10,27,26,23,20,19,19,24,28,33,66,81,72,80,78,78,64,39,27,27,23,20,22,25,23,22,25,30,34,32,59,72,67,68,66,70,62,36,23,24,26,19,25,28,27,24,24,26,29,35,60,72,71,60,62,57,46,37,33,34,37,31,33,33,30,26,26,32,37,50,71,83,71,62,63,60,49,39,37,39,40,37,39,41,40,39,41,47,51,72,76,71,56,62,64,61,51,43,44,45,44,39,43,48,51,54,57,62,64,72,64,54,50,60,64,62,51,46,48,49,45,40,42,48,55,61,65,66,66,56,49,50,63,1
151,162,169,158,141,124,107,95,92,104,88,63,57,50,50,68,60,63,65,67,185,182,169,150,139,132,115,96,91,95,82,63,55,56,63,75,59,57,56,56,195,192,168,136,119,118,111,95,87,81,76,66,56,63,77,78,58,53,49,48,176,186,171,132,103,100,99,92,78,69,73,70,57,64,75,63,53,49,47,48,160,173,168,138,112,105,97,85,68,61,70,72,57,59,59,40,39,40,44,49,158,159,151,137,125,113,90,66,58,60,66,64,53,47,40,25,27,33,43,52,159,149,138,130,120,101,73,51,53,62,59,49,45,36,26,24,26,36,50,58,159,150,140,130,108,81,59,52,51,64,52,36,38,30,21,30,33,45,59,66,168,157,121,84,67,57,51,53,65,48,36,36,33,27,33,47,50,55,67,77,141,120,82,59,62,62,57,59,47,38,31,29,26,27,40,56,57,66,77,83,103,79,50,49,67,67,55,55,32,31,27,22,21,31,50,66,60,72,81,79,74,62,53,66,80,63,38,35,30,31,28,21,25,43,61,71,62,74,75,65,66,68,73,81,77,47,21,23,29,28,25,25,38,56,69,73,70,77,72,56,72,80,81,73,58,29,15,25,25,22,23,35,52,65,72,73,75,75,67,53,84,87,74,53,39,23,18,27,24,23,31,50,63,66,67,72,75,70,63,58,90,89,67,41,33,25,21,25,30,29,41,63,70,63,62,70,77,70,66,67,92,68,45,34,28,24,27,33,33,47,60,62,61,66,69,68,65,67,70,72,67,49,34,30,29,26,28,34,46,58,68,68,66,69,71,72,74,76,78,81,50,39,34,39,43,41,44,49,60,67,74,72,68,70,72,73,75,77,79,81,48,40,40,50,57,57,59,66,65,69,72,70,66,67,70,72,72,73,75,78,1
141,121,112,102,97,122,144,133,127,136,127,145,159,187,149,108,100,100,102,104,133,118,117,119,117,131,138,123,117,131,121,126,124,151,133,113,111,110,106,103,134,121,122,131,131,131,127,114,114,131,124,113,95,107,104,102,112,116,119,118,136,121,116,120,114,103,96,94,78,93,94,81,63,64,64,63,92,107,127,137,129,119,105,97,84,65,56,63,52,55,58,51,54,56,58,53,61,82,109,128,126,121,101,83,72,52,39,42,61,50,46,40,57,60,66,58,44,58,79,95,129,124,94,70,69,59,43,45,60,42,40,30,50,45,54,48,43,53,66,78,131,122,81,51,60,63,51,51,53,40,46,38,58,47,58,55,52,60,72,83,101,106,71,59,49,71,60,59,61,47,54,61,49,49,60,58,56,54,76,99,94,109,89,79,66,74,50,42,57,47,47,52,49,51,59,61,53,53,75,99,88,102,86,72,60,65,52,50,62,57,45,42,50,51,53,62,59,60,82,105,86,99,88,71,62,61,57,60,58,58,42,36,56,61,60,73,65,68,89,110,87,108,117,105,97,77,61,54,46,52,39,39,63,72,74,87,72,75,93,110,92,113,131,119,119,94,81,74,61,65,60,59,71,80,82,85,88,89,105,115,111,121,129,110,119,102,106,109,95,94,99,97,92,96,98,89,106,106,117,123,128,132,138,114,123,106,114,117,114,112,125,127,114,120,126,110,113,113,120,124,120,119,123,121,115,120,119,107,112,115,118,113,114,134,142,127,121,121,121,119,110,112,120,121,117,123,122,109,102,108,116,112,108,121,124,108,124,125,127,126,108,113,123,124,119,126,125,110,101,107,112,103,93,103,109,97,127,130,133,135,118,124,132,127,119,126,125,110,112,111,107,91,76,89,106,105,127,131,137,140,1
122,149,176,147,127,150,157,152,130,154,177,183,166,169,163,100,120,116,119,118,132,153,171,151,151,169,157,144,141,167,179,176,162,168,171,128,120,118,129,137,145,160,165,155,178,194,164,151,171,199,195,178,166,170,180,161,135,133,147,164,139,151,148,142,176,190,161,166,183,211,198,179,171,171,180,172,128,117,126,142,130,139,135,127,151,160,149,176,179,204,191,178,172,166,170,162,133,112,112,126,140,140,144,139,145,147,150,188,200,215,204,193,176,164,168,153,111,85,83,101,141,134,149,155,150,146,151,184,209,212,210,200,169,161,180,167,135,110,115,144,123,108,135,152,145,137,139,163,180,181,187,185,151,155,194,189,164,141,154,191,112,108,111,131,142,130,132,156,151,160,179,172,143,151,184,197,174,139,145,160,131,125,124,142,155,142,141,164,166,170,183,173,148,153,176,182,163,129,135,147,116,122,133,151,154,141,152,188,172,171,173,163,147,150,161,161,164,135,141,149,154,149,148,156,153,135,141,172,181,175,167,158,154,157,160,156,155,132,141,146,194,170,147,150,159,150,156,182,185,177,161,149,153,156,151,144,153,136,149,152,167,159,146,143,136,130,158,206,188,186,166,156,165,164,151,146,155,144,160,160,140,147,151,145,120,93,112,160,177,184,174,172,189,189,174,170,147,141,158,154,126,124,129,144,143,113,97,112,130,146,146,153,179,181,167,166,156,151,167,160,132,134,139,153,160,138,118,120,115,123,133,140,147,154,156,157,155,142,152,145,149,147,147,155,159,140,129,138,146,153,156,157,161,161,154,150,147,134,143,137,154,150,144,145,147,134,136,156,184,185,174,164,167,166,156,153,152,137,147,142,147,144,136,134,135,128,141,171,205,201,173,152,162,168,163,166,163,147,157,154,0
134,136,133,129,136,155,172,180,201,176,148,125,123,145,162,156,127,144,167,180,121,135,152,165,176,186,189,186,186,169,155,144,138,148,156,150,146,159,166,163,147,157,168,173,176,177,175,171,147,133,130,132,126,128,136,135,158,161,156,144,160,161,161,156,149,145,143,142,110,91,88,96,99,109,126,135,152,144,139,142,136,140,146,148,141,129,119,113,93,72,66,77,88,108,135,149,146,129,131,155,141,139,138,133,120,102,91,87,76,62,61,70,81,106,137,151,154,134,135,160,142,128,110,94,78,65,63,68,59,58,62,64,68,98,138,156,168,153,142,143,100,87,73,62,53,47,51,60,55,63,70,65,63,99,148,172,175,166,144,121,96,66,53,57,55,56,67,73,76,68,65,59,57,88,140,172,164,162,146,122,112,82,72,76,65,52,53,59,60,59,62,58,61,98,149,176,174,172,156,135,127,91,76,79,63,42,43,51,56,61,64,56,59,100,147,166,167,163,149,134,142,92,65,65,55,40,46,60,66,70,68,52,55,97,138,149,154,147,132,120,158,102,63,60,53,46,52,61,65,65,62,51,60,106,146,151,152,143,130,120,166,113,75,64,54,46,46,45,52,49,50,55,78,122,156,157,150,144,135,130,167,126,90,69,52,46,45,41,51,43,49,67,91,122,135,125,131,132,136,140,171,138,104,74,52,51,58,57,64,51,57,78,96,107,101,82,113,120,134,147,160,150,129,94,59,41,45,56,59,57,65,81,90,86,81,80,77,97,127,148,150,153,147,125,93,67,58,59,65,67,72,84,96,102,102,100,79,92,111,122,128,143,155,149,128,106,95,93,87,91,91,93,107,126,133,128,101,104,107,108,121,138,153,150,138,129,129,131,107,112,103,96,109,137,148,141,125,123,117,109,1
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91,99,109,125,144,154,143,125,135,155,172,178,175,157,147,156,175,166,158,155,116,121,129,134,134,135,139,143,132,142,155,169,170,155,150,163,164,155,143,136,138,134,134,128,109,97,114,143,145,142,150,165,167,156,153,162,178,175,165,152,152,133,123,119,94,71,87,124,158,153,154,156,153,152,148,139,125,143,155,153,163,129,113,121,110,83,89,118,150,149,148,138,132,146,142,114,107,137,160,162,159,119,103,126,135,116,113,133,138,132,135,129,124,147,152,120,96,119,138,135,137,100,91,124,147,141,142,160,143,122,126,133,130,149,164,145,102,117,135,145,118,87,84,121,151,153,162,184,155,117,120,139,133,145,166,161,121,129,146,163,144,117,96,106,136,160,172,175,150,118,95,98,108,113,119,127,111,134,149,145,164,142,118,113,126,141,145,143,144,123,106,106,108,103,97,95,93,113,137,151,159,150,130,111,112,126,137,137,151,145,142,142,143,140,132,124,125,128,135,141,140,148,139,116,106,121,142,151,139,146,154,158,163,167,163,156,156,157,148,134,141,163,167,143,119,119,134,143,127,140,154,161,165,166,161,154,144,165,171,157,140,165,179,167,142,128,127,129,126,136,151,165,167,163,157,152,148,171,183,176,123,136,150,154,148,139,134,134,124,122,129,143,148,147,148,155,159,160,164,168,107,106,112,126,137,140,140,143,141,125,119,126,131,133,146,164,142,127,130,153,142,126,122,122,119,126,134,131,138,152,150,136,129,125,125,134,124,130,122,128,160,150,144,140,128,120,117,113,143,156,155,144,137,132,125,124,122,139,136,136,172,166,160,151,134,120,116,120,153,164,165,153,141,131,115,103,112,149,150,144,184,180,166,149,131,118,123,142,162,173,176,160,134,118,101,80,97,153,159,146,0
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132,139,150,158,151,140,138,143,126,115,103,96,89,82,80,83,103,112,121,128,154,154,157,160,155,150,152,159,152,144,134,125,111,99,94,94,116,123,132,140,158,161,168,174,172,166,162,162,174,168,160,149,135,120,115,116,126,134,147,157,159,164,172,178,180,175,169,166,173,162,150,142,134,130,133,138,132,145,162,173,171,174,177,179,178,176,174,170,147,130,112,107,111,122,137,148,145,160,177,184,169,179,189,189,179,166,148,136,108,93,76,72,84,106,132,152,166,177,187,187,166,178,183,174,151,126,101,85,72,64,57,59,71,96,131,160,180,181,179,175,179,179,161,128,96,77,66,60,48,50,53,60,69,95,135,169,181,174,165,161,175,149,111,76,54,46,44,46,42,37,41,53,70,98,139,175,169,162,154,146,141,119,88,61,44,38,38,39,39,40,42,49,68,99,139,169,154,149,142,136,113,94,68,47,36,32,33,35,35,44,46,47,67,105,142,163,145,142,135,131,114,95,69,47,34,33,34,37,33,49,53,50,72,117,150,159,146,142,135,133,130,110,80,55,40,35,35,36,32,52,59,55,79,128,157,158,141,137,131,128,139,121,94,69,52,42,36,34,36,56,65,65,92,137,161,157,131,128,122,119,136,124,108,90,75,61,46,38,49,66,76,81,107,145,164,158,130,126,122,118,129,126,118,110,96,78,60,45,62,76,87,95,119,154,168,162,136,133,128,126,135,127,124,128,125,109,95,91,95,105,119,136,151,159,161,161,137,132,130,136,140,132,131,140,142,132,122,121,119,127,140,152,160,161,157,153,138,132,130,134,143,136,137,149,154,149,144,145,147,152,160,167,168,161,150,142,117,112,109,112,146,138,137,148,155,151,147,149,158,164,167,169,167,158,146,137,120,113,109,111,1
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131,127,143,165,173,178,189,193,198,191,190,197,192,169,140,121,151,138,136,136,118,114,115,131,149,161,167,171,181,201,210,189,159,140,138,141,160,155,164,176,138,142,124,116,136,147,148,158,157,192,206,172,135,133,157,174,162,162,180,198,154,175,153,121,120,111,108,128,136,155,160,142,130,142,166,181,173,174,194,211,142,186,186,149,119,86,73,96,110,107,105,110,118,130,144,155,160,160,178,195,108,159,185,164,124,76,54,66,70,65,70,84,95,105,120,135,124,121,133,147,86,113,140,139,106,65,39,35,41,46,51,55,64,79,96,108,103,97,106,115,107,103,115,122,102,72,49,35,39,47,44,31,36,57,70,69,77,74,83,94,118,134,152,146,106,58,34,34,34,30,31,36,33,35,58,88,101,108,101,91,156,169,177,156,109,61,36,34,36,32,29,30,27,34,58,85,116,131,127,113,177,191,190,157,105,61,38,31,29,29,27,23,24,36,58,76,94,120,123,108,171,187,187,154,108,72,48,36,23,28,27,25,30,47,64,73,82,113,121,106,167,184,189,166,131,99,73,57,36,35,32,28,38,57,76,82,91,116,117,100,181,192,198,188,165,137,111,95,74,64,52,47,56,70,85,94,102,112,103,89,207,207,211,211,203,184,164,154,134,120,109,110,112,108,107,109,132,124,103,92,226,219,221,231,233,221,210,208,188,175,171,180,177,154,135,128,158,135,102,88,209,218,219,221,230,228,223,228,210,204,207,224,207,185,143,159,185,149,93,79,211,218,215,214,223,223,220,226,222,214,214,228,209,186,144,160,165,134,87,80,213,218,211,207,215,216,215,223,222,212,210,221,202,180,140,157,152,126,89,92,213,217,210,206,212,212,211,218,214,203,201,212,196,177,141,161,149,126,94,103,1
161,171,179,182,188,186,165,139,137,134,130,127,133,149,165,174,159,158,147,143,174,169,167,171,175,178,179,181,186,193,179,156,162,185,180,153,141,151,148,139,145,148,164,187,194,184,179,184,201,175,158,175,202,203,173,140,155,177,178,160,129,129,138,152,156,152,150,154,131,142,169,190,174,142,141,163,160,185,185,166,110,113,112,110,112,115,109,98,86,126,153,136,105,97,110,123,126,147,146,129,105,111,109,103,107,117,112,98,115,109,98,92,97,106,109,105,116,130,124,110,141,129,110,95,98,116,139,153,137,130,126,125,118,113,128,150,131,141,137,131,144,131,121,116,109,107,122,142,143,159,153,125,114,126,125,109,128,140,144,147,128,127,131,135,130,119,106,95,106,119,126,118,108,109,117,124,157,170,160,148,105,94,110,123,109,110,120,112,87,94,102,104,107,117,137,153,150,155,154,156,116,93,106,115,88,88,112,112,114,113,117,123,122,119,127,140,146,134,136,149,120,106,109,118,112,109,125,141,159,145,138,136,126,112,113,124,147,117,116,132,102,110,104,112,132,119,105,124,152,134,121,119,115,110,120,138,140,114,116,134,102,115,108,114,136,121,92,96,114,112,115,122,122,118,120,128,138,131,143,160,129,121,122,128,133,145,146,129,101,114,129,138,136,127,120,116,150,164,175,183,170,129,129,121,93,125,158,125,112,122,130,130,129,133,138,139,170,194,195,189,148,131,138,144,103,95,133,129,110,121,134,136,129,128,141,159,170,181,183,172,108,96,101,120,106,102,125,116,122,131,143,153,156,154,154,157,168,181,188,182,119,106,92,112,125,121,124,112,124,126,132,144,158,162,154,144,164,179,190,189,161,142,104,113,141,138,131,124,143,139,135,141,160,174,170,157,161,176,187,189,0
188,153,128,126,128,126,138,160,125,134,115,92,94,88,79,83,104,117,132,140,169,150,134,127,122,120,137,160,128,132,113,82,69,73,80,88,86,103,126,141,158,151,141,124,107,102,113,128,132,137,129,96,70,79,99,102,75,92,112,127,144,139,128,117,112,115,117,116,117,123,132,116,90,103,124,117,101,102,102,101,113,105,98,104,127,145,143,130,112,109,113,105,93,112,133,125,154,138,113,92,146,134,126,135,158,173,167,153,161,138,114,98,92,105,120,123,188,169,139,110,208,203,196,193,189,183,179,178,194,165,129,113,113,106,105,115,168,168,156,137,199,204,207,198,174,156,162,178,174,156,128,127,136,114,95,108,130,149,158,152,198,211,198,169,158,162,169,178,157,144,151,174,168,131,107,109,120,133,144,149,191,186,161,141,144,146,137,132,138,140,148,161,160,147,131,124,128,137,145,147,179,161,129,114,122,124,115,113,109,118,121,118,126,141,144,135,123,128,137,142,136,136,131,132,141,139,137,148,135,136,123,104,107,129,143,142,121,120,125,138,109,133,158,182,197,191,183,192,205,193,170,146,136,139,149,154,134,122,119,131,154,171,186,203,221,221,212,211,224,211,194,181,167,160,162,170,147,127,117,127,193,207,207,205,215,219,213,211,199,194,187,179,173,174,180,187,168,140,127,137,171,204,220,218,219,217,208,203,195,196,187,174,172,184,198,202,196,163,144,153,95,134,197,224,204,197,208,204,200,200,188,183,196,203,200,201,200,188,180,155,54,94,160,196,189,188,201,201,193,198,191,190,204,209,203,202,199,189,187,166,49,82,136,169,168,173,189,194,187,196,195,198,212,215,206,204,195,188,191,177,74,94,127,149,153,161,181,195,185,196,197,201,215,216,207,205,193,186,191,180,0
179,144,138,119,122,152,158,166,144,126,120,127,126,109,98,99,99,109,123,135,196,174,167,140,131,154,150,149,158,135,115,107,104,104,112,124,101,98,93,89,172,171,182,167,155,164,153,140,112,115,122,132,144,156,165,169,168,153,131,112,146,154,177,181,165,154,139,124,123,151,183,202,210,209,197,182,206,196,184,179,176,171,174,177,151,127,126,127,192,212,226,227,225,223,216,205,210,205,202,204,210,195,173,165,144,135,168,186,219,224,220,209,205,212,219,220,221,215,207,203,194,192,168,157,146,163,213,224,220,219,214,207,200,200,200,200,211,209,207,206,163,182,167,152,144,167,212,202,204,205,208,214,216,213,212,213,207,209,211,211,151,136,159,187,146,151,212,200,193,215,218,208,209,212,210,213,207,206,208,212,152,138,150,172,148,159,217,213,203,213,211,206,209,207,203,210,203,204,206,211,164,146,133,132,118,138,189,201,213,219,213,209,211,206,201,208,204,204,204,204,153,146,129,113,101,113,144,162,202,222,223,209,205,204,201,203,209,207,200,190,114,128,135,121,110,110,113,122,164,212,229,208,195,197,196,195,210,209,200,184,94,111,131,114,96,97,89,92,123,187,225,212,193,190,189,191,204,208,204,192,95,104,133,116,94,98,81,71,83,149,203,214,197,176,171,185,200,211,215,208,87,102,151,150,131,130,94,62,53,111,175,207,193,158,149,171,201,216,224,219,110,96,100,131,156,147,111,80,69,84,134,178,162,150,113,138,146,180,220,225,112,97,84,89,105,118,119,114,108,112,127,136,120,131,112,129,124,128,165,198,89,95,93,85,88,105,118,119,130,130,120,98,86,112,102,104,104,95,117,149,64,95,113,103,95,104,108,98,114,121,115,95,87,99,89,75,93,104,113,111,0
151,167,161,148,127,123,127,100,80,62,80,117,122,109,114,129,147,135,121,112,123,132,130,137,139,150,168,153,104,87,93,105,89,67,71,86,95,92,89,90,110,106,100,120,133,148,174,168,137,126,132,141,127,108,98,92,71,71,71,71,105,92,80,97,99,99,121,121,120,106,110,126,137,139,127,105,92,92,90,86,135,123,112,122,107,87,102,105,109,92,82,83,90,104,106,92,100,104,110,113,169,164,158,164,136,105,114,115,143,138,135,119,94,85,87,82,83,89,99,109,142,144,146,153,126,97,103,100,145,154,167,156,118,91,85,81,86,84,83,84,103,110,118,131,115,94,103,97,122,126,140,140,116,98,97,97,111,98,81,71,125,104,123,115,125,104,107,123,133,112,107,83,81,95,82,87,97,81,70,76,138,123,142,129,130,108,103,112,116,109,114,90,81,95,97,114,107,94,83,81,135,133,156,149,148,133,125,131,138,124,117,99,100,114,115,122,113,108,98,88,130,138,164,162,160,157,148,153,147,133,116,97,92,100,102,104,121,124,119,105,145,151,169,166,154,152,133,137,142,152,146,123,98,94,117,135,139,146,146,136,159,158,166,167,147,140,112,118,150,165,158,148,135,136,166,180,156,160,160,156,166,161,168,182,163,156,121,130,146,154,137,142,151,160,187,186,169,164,160,160,178,170,177,202,186,178,142,151,139,157,146,150,150,154,188,193,179,166,158,159,163,176,178,193,194,180,177,162,171,158,148,147,147,147,154,164,171,161,168,177,172,181,177,186,185,172,172,159,189,176,163,154,144,134,136,144,165,153,158,169,180,186,177,182,179,169,174,166,196,188,179,170,155,141,144,154,158,142,142,151,181,187,178,183,181,175,184,179,191,189,188,182,167,154,160,175,163,141,134,141,0
174,180,171,166,179,190,193,199,187,204,164,167,152,142,185,158,153,186,162,145,162,167,172,182,191,185,175,174,167,184,156,169,160,146,186,164,146,181,158,140,171,176,191,207,206,185,167,163,136,144,121,140,131,116,153,139,144,182,161,142,162,168,183,185,167,146,135,127,110,104,79,93,81,63,97,95,137,181,166,143,149,159,175,165,130,110,103,89,90,79,59,69,56,38,64,66,119,170,160,137,161,167,189,185,143,113,98,76,71,64,55,66,55,41,58,59,101,160,157,137,166,152,179,200,160,112,86,62,63,58,56,61,50,45,58,58,89,156,160,144,173,138,165,206,172,111,77,58,70,62,56,53,41,41,57,58,80,150,161,148,167,129,138,182,152,95,82,68,61,48,36,44,58,53,47,56,84,130,156,152,169,129,124,159,136,90,78,58,53,48,42,50,66,65,61,69,89,131,154,147,174,141,135,169,157,115,87,48,50,54,53,58,73,78,76,82,102,141,159,149,171,146,135,163,163,130,94,47,38,48,46,46,59,67,68,72,113,147,162,152,180,157,134,150,156,137,116,84,50,55,47,42,54,65,69,75,113,145,157,146,168,157,142,159,166,148,136,119,75,68,50,42,53,64,72,85,119,148,154,140,131,137,137,162,167,142,135,135,107,85,52,41,51,58,69,89,134,156,155,136,131,142,141,161,165,144,152,170,160,127,85,70,76,79,91,115,145,162,154,132,132,172,158,151,153,145,163,167,163,135,121,107,116,95,111,137,169,156,143,129,141,175,162,154,158,159,183,192,179,148,131,117,128,109,125,150,160,144,135,129,140,170,166,163,168,178,204,213,189,156,135,119,134,118,133,155,152,132,127,134,131,156,168,170,177,191,211,216,195,159,134,116,134,123,137,156,152,128,127,144,1
130,126,116,111,115,116,100,80,67,78,79,79,88,93,94,103,131,141,147,146,123,108,93,88,86,78,68,63,73,76,70,67,76,79,76,80,114,131,146,148,123,100,81,78,74,64,61,67,69,71,65,65,76,72,59,57,94,119,146,155,118,98,79,76,81,82,80,80,66,73,75,81,87,72,50,44,68,93,124,141,107,96,77,68,82,97,89,68,66,76,82,88,90,71,53,53,58,67,82,94,111,103,81,66,81,101,87,56,53,61,66,75,83,75,71,83,84,73,63,58,117,101,77,65,78,93,83,61,47,48,49,61,75,74,74,89,96,83,70,65,108,85,60,55,66,76,74,68,59,54,50,60,73,65,56,64,71,68,72,83,109,90,69,75,68,81,66,97,98,88,76,91,83,53,55,62,58,63,65,62,99,84,80,87,67,74,65,92,133,125,109,114,100,66,57,51,75,74,67,56,105,79,83,90,67,72,65,74,120,133,130,127,104,68,58,45,71,71,67,61,120,72,70,76,66,81,77,68,77,111,124,117,87,57,55,46,50,55,62,68,128,77,74,69,65,81,89,82,71,97,99,89,71,58,61,49,45,49,57,66,138,107,112,89,74,71,81,85,83,84,62,59,68,75,80,59,56,56,60,67,139,130,148,120,108,82,75,78,78,72,49,55,75,86,88,66,66,66,72,83,125,128,154,138,146,113,86,80,70,74,65,74,84,81,80,61,70,73,85,100,130,123,117,120,135,145,134,117,83,85,46,63,78,86,73,74,75,90,104,111,148,137,124,121,122,122,117,110,126,119,61,55,55,64,63,77,92,102,112,118,136,118,101,90,80,72,72,79,129,135,90,84,77,79,80,94,109,110,111,115,109,85,64,55,45,34,38,49,105,133,112,117,111,110,107,120,121,113,106,107,1
209,180,109,106,122,131,168,155,135,159,169,133,127,156,149,131,142,137,126,114,204,177,105,85,79,82,136,148,120,139,154,128,122,149,157,161,136,131,125,121,166,145,87,65,50,50,111,145,129,121,122,104,104,129,147,172,130,124,124,134,127,116,84,79,66,60,102,133,142,102,79,64,69,88,107,142,131,121,119,130,123,125,119,115,91,68,86,105,112,71,51,40,39,47,63,104,138,125,114,113,129,139,142,127,95,68,66,77,58,43,48,45,36,36,48,88,142,135,124,114,139,136,132,115,100,88,67,56,32,28,44,45,43,46,48,71,132,139,138,128,158,135,117,105,117,119,78,38,34,22,27,28,41,54,43,43,119,136,143,131,153,148,125,118,115,113,94,43,22,29,31,26,26,34,40,43,96,120,125,114,144,151,139,133,129,128,112,62,21,24,27,33,38,39,36,33,58,80,85,76,125,138,131,134,145,160,147,91,31,30,34,40,37,26,22,26,58,78,81,74,121,128,117,122,147,174,164,103,45,41,43,42,28,15,24,46,66,81,83,77,139,145,131,125,134,155,154,107,64,49,38,36,30,24,39,59,75,86,85,81,143,161,155,142,126,134,151,130,103,70,38,28,32,38,43,47,92,99,96,94,136,154,158,153,135,136,157,149,151,113,65,37,38,51,62,66,86,90,87,88,136,145,146,153,147,146,158,144,180,149,99,55,46,69,102,124,75,78,75,78,162,156,160,159,144,140,181,136,155,166,133,88,86,104,119,135,86,73,77,87,175,165,162,153,134,133,183,144,150,172,161,135,131,125,113,116,96,83,88,100,191,180,174,159,132,128,180,145,138,169,179,174,170,141,106,98,112,98,102,113,200,195,193,176,143,129,175,136,134,162,178,185,184,147,107,101,126,110,110,118,1
124,104,115,121,104,111,120,99,97,99,116,106,78,90,104,80,126,114,110,118,124,110,122,130,113,113,115,94,89,84,102,107,89,99,116,102,113,106,102,104,120,112,126,136,126,128,130,113,124,106,110,113,100,106,120,115,121,118,110,101,116,113,127,140,138,147,154,146,166,146,133,120,109,119,130,123,127,130,122,107,118,121,134,145,147,150,152,147,148,148,136,116,114,136,141,122,112,120,120,112,122,130,140,145,143,134,124,119,106,125,125,110,119,141,135,108,112,116,121,122,119,128,130,129,128,119,108,109,98,118,122,115,126,136,122,102,120,119,120,128,114,119,115,109,112,112,113,123,113,126,125,124,135,136,125,117,118,109,111,123,119,113,109,103,102,120,132,125,125,131,130,125,127,134,128,115,111,109,106,118,109,104,102,97,100,123,144,143,139,146,146,142,142,144,134,120,104,102,107,124,113,107,103,97,100,126,149,150,145,152,153,150,147,144,134,122,97,93,109,129,120,110,103,99,106,132,152,149,148,152,152,146,141,142,139,133,93,79,102,118,113,101,96,100,116,146,161,152,157,157,152,144,140,142,148,152,96,66,90,100,109,99,96,103,122,151,165,154,169,167,160,148,140,140,149,157,110,66,91,98,108,102,104,111,126,158,177,171,183,181,175,161,145,137,140,146,121,68,98,108,97,98,108,118,134,170,197,199,198,197,191,176,155,139,135,138,121,63,99,113,107,105,109,117,134,175,213,225,209,206,186,178,163,149,135,96,86,90,114,88,106,100,106,118,135,171,208,224,202,198,177,171,161,150,136,94,85,89,111,83,109,99,105,122,136,161,195,217,197,191,169,166,161,156,140,94,81,85,106,79,117,101,106,126,135,149,180,206,199,191,167,164,165,163,146,95,78,81,102,78,0
129,137,162,169,181,202,203,212,223,213,201,193,186,173,155,140,123,123,123,123,173,188,214,208,202,210,214,230,212,206,199,195,191,183,170,160,153,150,144,139,171,181,205,200,195,205,205,218,199,198,198,198,198,195,190,186,188,182,173,164,170,165,177,183,200,220,210,208,190,192,196,198,200,201,202,203,206,201,195,189,180,167,172,177,199,220,205,195,185,188,193,195,197,199,203,206,211,210,207,206,159,155,166,164,174,189,180,180,182,184,187,188,192,195,199,202,209,208,208,208,149,152,167,164,166,180,176,183,179,179,179,182,187,193,197,199,203,203,202,202,157,155,166,162,168,180,173,177,176,175,175,179,185,192,196,197,198,197,195,194,168,165,163,162,160,160,167,177,172,168,170,179,185,186,189,194,198,194,189,184,167,164,162,161,159,158,165,175,172,167,169,176,181,182,184,189,185,183,179,175,166,163,161,161,158,157,163,172,174,170,169,173,176,178,180,183,180,179,177,176,167,164,162,161,158,156,162,170,177,173,171,171,173,175,176,177,177,177,177,178,169,167,165,164,160,158,163,171,176,174,170,168,169,172,172,171,172,173,173,174,175,172,171,170,165,161,166,173,174,173,168,164,165,169,171,168,173,173,173,172,179,177,176,175,170,166,170,177,174,175,170,165,166,172,174,171,178,177,175,173,182,180,179,178,173,169,172,179,178,179,174,168,170,178,180,176,177,175,172,169,186,186,186,184,183,182,179,177,172,175,177,175,170,169,173,177,179,172,162,155,188,188,187,186,184,183,180,178,171,172,172,170,168,168,170,172,171,167,162,160,189,189,188,187,185,184,181,179,170,168,165,165,165,166,166,166,175,174,173,174,188,188,188,186,185,183,181,179,172,166,161,161,164,166,165,162,167,165,163,162,0
168,170,168,162,156,157,166,175,176,171,165,163,165,167,166,165,172,173,174,173,181,179,175,166,160,160,167,173,176,171,166,164,166,168,167,165,170,172,175,175,194,188,179,171,166,166,169,171,175,171,166,165,167,168,166,164,167,170,174,176,197,191,183,178,177,175,174,172,174,170,165,164,166,167,164,161,162,166,172,175,195,191,188,189,191,190,186,181,175,170,165,163,164,164,162,159,159,163,168,171,196,195,195,196,199,200,197,193,179,172,166,162,162,162,160,157,158,162,166,168,199,197,196,197,198,198,198,199,185,178,168,162,161,161,160,159,161,163,165,165,201,198,195,192,192,193,196,199,190,182,170,162,161,161,161,160,164,165,166,165,197,196,195,194,195,198,200,202,192,188,180,170,163,162,166,170,163,165,167,167,196,196,196,196,198,199,200,200,197,193,186,175,168,166,167,170,165,168,171,172,195,197,199,200,202,201,199,198,199,197,191,182,173,168,165,166,165,169,173,176,194,197,199,203,205,202,200,197,198,198,193,185,175,168,163,161,163,167,173,177,192,194,199,203,204,202,199,198,198,198,194,188,178,168,163,160,164,169,175,179,186,189,192,195,198,198,198,197,197,198,195,189,181,172,166,163,167,171,176,179,180,181,183,185,189,191,195,196,194,194,192,187,179,171,167,164,168,171,175,177,177,176,177,179,182,187,191,194,189,190,188,184,176,169,165,163,168,170,173,174,176,177,176,174,171,171,175,180,177,178,176,174,172,168,164,163,164,166,169,169,179,179,178,173,167,164,165,168,168,168,167,165,162,158,154,153,158,161,164,165,176,178,177,172,165,159,157,159,160,160,158,155,152,148,145,144,151,154,157,159,168,172,174,171,165,160,157,158,157,157,154,150,148,144,141,140,145,148,153,155,0
201,165,151,121,92,99,102,102,124,126,140,142,118,100,101,106,121,165,184,170,169,170,190,168,122,107,104,109,135,124,131,141,135,122,110,99,107,129,143,146,158,160,184,172,137,119,109,113,133,121,127,144,143,134,121,106,106,101,98,109,148,136,157,163,145,122,106,121,122,118,131,143,132,123,123,123,139,122,98,96,127,123,156,180,169,128,103,131,126,122,131,135,120,110,116,121,154,147,116,89,152,134,147,170,183,154,117,131,143,127,126,131,123,114,111,106,156,165,140,100,194,169,147,144,175,180,140,129,147,131,132,143,138,126,115,101,146,168,161,133,203,200,178,148,167,183,150,136,135,131,145,158,150,133,122,111,103,132,144,139,175,191,206,190,164,172,172,139,141,132,154,129,146,176,122,116,122,127,128,124,174,189,209,201,182,184,178,148,145,144,134,109,123,149,137,128,137,137,131,120,160,173,196,206,199,196,186,164,165,172,136,109,107,122,141,125,158,160,159,156,132,143,168,191,199,198,192,186,180,187,164,134,114,122,140,124,140,138,135,133,108,116,135,160,180,187,192,203,181,178,186,157,130,138,142,138,143,136,128,123,101,107,112,126,150,163,178,202,183,170,189,170,137,139,142,147,136,125,114,110,107,112,102,98,117,131,152,182,178,170,177,183,148,131,156,154,153,136,119,110,115,120,100,83,94,108,128,161,161,165,160,196,164,130,180,170,156,139,122,117,113,117,111,95,87,97,112,119,135,154,163,162,160,156,165,185,157,137,161,131,114,119,114,103,100,109,117,118,124,136,141,146,156,161,173,192,163,143,168,138,116,120,117,112,115,124,123,116,117,120,117,123,138,145,156,173,174,157,185,157,119,119,115,114,124,134,127,114,111,111,106,111,124,128,136,155,180,166,197,173,0
150,148,161,164,157,172,184,170,163,144,120,113,117,116,95,71,52,71,86,88,170,168,166,160,155,167,178,176,152,135,110,95,91,87,70,52,57,72,85,84,174,175,164,150,148,150,154,162,145,138,126,113,101,86,62,41,55,65,74,76,154,162,150,139,143,136,131,146,145,141,131,120,110,96,75,57,56,59,62,64,147,148,134,128,134,124,118,136,131,117,94,77,74,78,78,72,67,64,61,60,160,142,118,108,104,91,86,99,88,78,61,50,51,61,64,61,68,66,68,72,144,111,90,85,72,58,55,56,49,54,55,52,52,52,49,44,55,60,72,84,105,68,61,72,62,53,52,43,38,48,52,47,41,42,44,45,45,52,70,86,67,66,57,47,52,61,59,46,47,35,32,45,54,51,51,54,40,51,71,81,56,47,40,39,43,52,61,70,52,38,32,40,47,47,46,50,45,51,71,86,54,41,34,37,37,37,51,71,58,41,30,33,38,39,40,44,46,44,64,86,52,44,37,37,36,38,48,60,60,43,28,27,31,34,37,41,41,35,55,82,46,44,36,28,33,48,58,59,59,42,28,26,31,36,39,41,42,36,55,83,51,51,39,26,29,48,57,53,52,41,31,31,38,46,49,48,48,46,65,87,56,56,52,45,40,41,43,42,44,38,33,36,48,57,59,56,52,56,73,85,48,51,61,69,59,40,34,39,39,36,36,42,54,65,66,62,51,59,73,78,63,60,85,90,57,51,58,43,48,47,45,48,56,67,74,74,74,70,63,58,104,97,114,114,81,70,71,54,40,41,43,52,69,87,101,108,93,83,67,54,124,116,128,130,109,103,104,87,67,66,67,76,91,109,124,133,116,96,71,53,119,112,120,127,122,124,124,112,100,96,96,101,109,118,129,137,126,103,73,56,1
205,213,213,205,204,209,205,194,197,184,185,200,207,200,200,210,208,208,208,208,199,196,198,208,217,216,207,200,202,196,197,207,212,208,208,214,208,208,208,208,196,182,183,204,220,216,205,202,191,194,199,203,206,208,211,212,208,208,208,208,190,177,171,181,191,192,189,189,172,184,192,193,195,204,208,207,208,208,208,208,174,174,165,152,150,163,175,180,176,189,196,193,195,205,210,207,208,208,208,208,157,169,167,148,137,154,178,191,193,200,202,198,199,206,209,206,208,208,208,208,139,155,166,161,150,155,179,202,207,206,203,202,204,206,207,206,208,208,208,208,120,135,158,168,159,152,170,197,216,209,204,206,210,210,211,212,208,208,208,208,93,111,134,153,155,144,159,195,210,206,206,209,210,205,206,210,208,208,208,208,77,85,98,117,133,140,166,207,205,205,209,214,213,207,207,212,208,208,208,208,78,78,78,91,112,130,160,197,192,198,207,213,212,205,205,210,208,208,208,208,84,85,82,85,102,117,142,174,184,194,207,213,210,206,207,210,208,208,208,208,84,90,85,80,88,103,130,162,183,195,209,212,211,210,212,216,208,208,208,208,92,100,91,74,75,92,124,158,181,190,199,200,202,206,211,214,208,208,208,208,90,100,87,67,66,85,117,148,176,182,184,183,186,197,205,205,208,208,208,208,67,79,72,57,63,85,113,139,178,181,179,175,180,194,203,205,208,208,208,208,62,65,65,59,55,71,107,138,168,173,181,187,187,190,199,208,209,210,210,208,46,50,52,49,52,70,106,134,161,164,173,179,180,182,191,201,204,205,207,208,40,43,47,50,61,85,119,142,154,155,162,170,171,172,180,190,193,196,200,206,42,46,50,57,73,103,134,153,151,150,155,164,166,165,173,184,180,182,191,200,0
215,194,174,167,165,161,164,171,171,150,135,109,101,117,128,150,182,188,199,210,201,183,165,157,149,138,136,141,155,140,127,102,102,131,154,178,210,212,215,219,179,159,138,127,116,108,109,116,134,126,121,103,117,162,189,211,220,217,212,208,166,139,111,99,99,102,114,127,126,122,121,111,138,191,211,219,224,222,216,209,157,128,102,99,111,124,138,151,146,131,124,112,142,192,199,196,213,219,220,216,135,116,103,112,130,141,151,157,175,149,130,113,135,171,167,160,188,204,219,220,107,100,103,119,134,142,149,157,188,164,147,133,144,160,145,136,161,188,212,219,93,93,104,122,132,139,150,163,188,169,166,160,164,164,138,128,123,155,185,194,86,98,100,113,139,144,146,166,185,148,156,176,183,173,143,132,122,136,154,165,117,125,110,96,109,122,135,155,170,142,153,168,170,163,139,133,131,136,143,145,160,154,116,81,94,124,136,136,174,154,165,168,161,160,150,153,159,154,147,140,192,172,122,90,120,168,171,141,157,151,175,180,171,171,167,174,184,175,163,152,170,147,109,89,125,183,191,157,127,126,160,176,172,172,167,177,186,180,171,166,137,122,106,99,123,175,202,188,152,130,142,148,142,142,148,168,168,169,172,173,143,128,130,139,154,189,216,214,189,147,143,144,133,123,120,141,142,152,168,179,142,120,128,153,169,190,205,196,179,141,152,171,161,130,100,105,119,136,161,178,139,115,133,170,177,173,170,161,156,149,155,179,199,189,155,124,136,154,139,162,146,136,166,201,193,175,165,155,172,146,139,171,210,215,194,172,160,172,149,164,136,142,186,221,208,186,182,178,189,141,120,163,215,225,209,193,180,184,149,155,123,136,185,220,209,196,203,207,187,130,109,163,220,225,202,187,189,187,145,144,0
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103,97,87,83,81,80,76,73,70,76,68,53,57,75,79,67,70,76,81,82,95,91,84,78,75,73,68,66,68,74,67,52,53,73,91,98,89,94,98,99,73,70,66,64,60,60,59,58,57,64,62,51,46,60,87,106,107,109,112,114,55,55,53,53,56,58,63,65,73,80,84,78,68,70,88,106,113,113,115,119,65,63,61,62,66,71,78,82,88,91,91,86,78,76,83,92,112,110,113,119,81,77,73,74,78,83,83,83,86,83,75,65,63,68,73,74,103,99,103,114,88,83,79,81,86,86,78,70,81,83,72,57,59,72,77,71,81,77,82,96,89,84,82,88,94,91,77,65,62,70,65,49,51,66,68,55,59,54,61,78,95,96,93,86,82,77,64,50,45,42,45,57,67,64,54,47,48,50,60,72,93,91,80,66,60,62,61,60,41,40,46,55,60,56,52,50,61,58,62,72,80,79,71,60,52,49,46,45,39,42,49,54,54,49,49,53,67,64,64,73,81,74,64,55,48,42,37,32,44,46,51,55,53,49,49,53,58,63,72,82,96,74,49,38,39,43,43,41,43,43,46,52,52,48,46,49,48,67,90,105,86,63,41,38,47,51,46,42,37,36,39,45,46,45,46,51,57,84,114,128,67,50,38,43,51,50,41,34,34,36,40,44,44,46,57,70,86,110,132,141,68,49,32,31,37,38,38,41,36,42,47,48,46,51,71,92,113,128,139,140,52,34,30,38,42,48,51,48,43,43,44,41,43,60,86,106,123,130,134,135,56,36,31,38,41,45,51,49,47,49,52,55,63,79,101,117,130,137,142,142,62,39,31,36,37,41,49,50,57,60,68,77,88,101,115,123,127,133,137,137,68,42,32,36,34,38,48,52,68,72,82,93,105,113,116,119,119,125,128,127,1
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178,157,145,156,142,175,176,149,114,86,77,74,55,51,91,134,133,127,106,148,170,161,147,155,153,189,172,131,89,64,61,69,62,61,90,123,151,146,123,148,167,173,159,162,170,194,151,98,64,46,54,75,72,64,73,85,110,132,146,172,169,185,174,179,177,171,110,64,48,44,65,93,91,74,66,61,60,103,152,185,164,179,177,188,165,131,67,41,47,52,79,105,101,88,82,77,57,91,140,151,158,160,161,175,138,101,54,39,55,61,84,99,93,86,87,86,52,69,116,114,161,148,141,149,111,97,68,47,50,58,80,95,90,87,87,82,44,45,93,90,169,145,130,130,96,105,88,54,32,45,76,99,102,102,98,87,62,47,81,68,159,151,117,110,96,116,101,90,65,45,66,103,112,115,114,95,71,62,104,75,172,156,138,136,127,146,157,163,114,58,62,88,84,108,132,107,76,72,109,78,169,132,120,113,119,141,184,195,154,75,60,76,68,111,150,118,81,85,118,84,187,148,141,126,138,155,188,174,157,94,64,71,83,120,140,113,89,105,133,98,170,166,176,150,157,161,166,129,147,121,77,66,97,111,98,89,88,117,141,108,158,187,195,166,169,183,187,167,152,150,94,59,85,83,58,66,73,113,130,102,143,174,157,139,156,184,179,181,162,161,111,64,64,60,49,61,64,107,117,88,168,190,155,157,188,209,170,168,166,157,121,74,51,53,62,67,69,114,115,84,179,199,189,155,181,219,194,171,173,163,155,89,55,69,58,43,67,117,130,112,170,185,179,150,172,202,180,162,180,186,188,123,69,62,46,32,70,121,135,118,162,169,169,151,166,185,164,153,164,194,213,162,91,70,52,43,59,112,128,110,164,162,167,159,165,174,156,151,142,189,217,184,106,80,66,63,63,117,136,119,1
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200,147,160,156,159,182,162,162,138,152,144,160,148,144,144,188,210,182,184,142,162,147,170,150,152,196,182,163,155,142,139,172,178,154,131,144,175,158,157,141,159,141,171,169,160,179,172,174,183,154,152,167,184,176,165,147,138,138,126,144,162,145,173,176,156,160,164,177,178,168,172,151,167,189,207,170,128,134,114,155,147,161,182,160,138,166,182,172,147,145,160,138,148,165,180,141,129,137,123,172,169,176,186,171,148,163,181,173,140,120,116,117,123,116,110,96,119,132,146,184,193,182,184,185,161,151,161,156,129,111,91,98,95,81,67,78,100,121,169,188,174,185,185,169,146,155,159,120,92,109,95,98,82,75,54,73,87,114,186,187,136,176,170,150,153,141,159,91,94,99,101,94,76,62,59,64,97,150,190,187,124,156,150,162,164,157,147,109,108,113,111,95,74,66,82,102,121,152,179,185,128,144,134,161,158,143,95,87,105,118,127,115,88,74,90,113,145,159,177,187,157,157,143,149,149,116,53,58,80,99,119,119,96,80,92,115,138,162,185,194,184,174,161,138,147,102,55,56,56,67,86,96,90,84,99,122,112,159,200,202,188,176,159,127,129,77,60,55,45,54,74,95,97,90,96,110,109,166,210,209,177,167,138,133,107,54,55,53,53,59,80,106,111,102,102,113,136,174,203,203,168,162,124,153,103,55,63,69,68,67,78,99,110,112,129,151,160,173,185,186,154,168,138,115,103,77,71,74,90,86,87,101,108,106,133,181,183,166,158,155,157,169,140,121,111,78,62,57,82,82,86,102,117,118,136,170,202,177,159,147,158,174,155,150,148,117,96,88,102,106,112,131,156,164,168,183,199,175,159,152,154,179,172,178,181,154,137,134,133,138,142,163,196,209,203,201,177,160,158,165,1
127,116,122,162,169,156,174,184,127,104,125,179,200,185,180,185,178,208,226,218,148,135,126,146,150,147,165,164,151,125,126,153,171,177,183,183,175,184,195,203,177,176,165,165,151,147,163,156,136,129,129,129,137,164,182,179,178,162,161,178,186,196,196,193,160,135,143,138,102,125,140,129,126,162,189,185,186,164,154,165,181,181,184,199,175,142,142,136,110,130,140,125,126,166,195,188,189,179,169,166,149,133,130,165,176,164,167,154,145,131,116,104,114,149,171,163,180,183,177,164,116,104,100,131,153,162,173,154,160,131,112,111,114,125,137,137,168,175,178,171,135,141,138,148,152,162,175,155,158,137,137,148,136,119,124,135,160,168,180,190,154,178,194,188,176,167,151,133,143,151,161,164,154,138,127,124,133,139,156,176,162,155,163,176,169,147,138,148,159,157,162,170,169,158,155,159,131,129,133,143,139,129,138,163,174,168,175,194,172,161,163,174,173,158,157,167,149,142,137,139,139,147,147,141,147,162,164,154,153,145,155,176,178,162,164,180,162,156,151,151,146,157,142,110,105,121,117,94,99,97,116,145,153,147,159,184,159,154,146,140,152,145,130,117,112,117,118,115,102,97,105,123,126,123,136,158,164,159,147,132,157,147,146,156,155,147,145,154,157,147,143,146,144,137,137,145,155,157,151,138,119,126,148,173,185,182,179,181,165,157,153,157,161,157,148,141,126,138,145,140,116,124,156,179,167,147,141,141,151,162,135,128,123,140,129,124,127,123,125,133,139,133,149,164,151,132,123,119,142,163,142,144,141,155,149,143,150,144,142,145,156,140,140,151,144,132,128,124,143,169,148,153,149,162,168,168,172,165,160,157,162,140,137,146,143,137,138,138,156,180,148,149,139,152,175,186,178,174,168,163,0
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167,188,171,142,145,153,153,161,159,154,150,159,170,161,158,172,168,167,166,165,196,190,162,143,144,137,132,143,167,184,187,177,168,152,144,150,160,159,158,157,183,155,129,132,141,125,117,133,158,185,190,174,160,147,130,123,149,156,166,172,161,134,122,139,152,139,133,144,137,153,154,150,154,150,132,120,150,165,184,196,178,160,154,162,161,156,155,157,130,136,134,139,149,147,140,143,162,172,182,187,182,167,163,157,141,139,145,144,134,142,143,140,139,134,140,161,164,163,162,157,158,144,147,147,126,116,121,118,139,155,152,138,136,139,146,159,161,158,154,149,150,134,148,161,137,115,113,106,144,160,152,133,144,162,162,153,166,163,162,162,163,141,130,178,180,129,121,126,140,136,141,142,146,172,180,152,160,156,161,172,155,162,157,178,182,168,171,161,162,153,142,133,139,162,171,159,165,156,148,146,139,165,165,165,182,201,200,163,171,166,150,142,153,163,165,166,163,152,134,121,129,133,120,114,141,175,172,138,153,162,155,155,172,168,155,160,154,147,129,110,144,120,101,96,114,139,153,160,152,162,155,154,166,159,146,152,153,148,133,117,138,120,128,133,130,130,142,181,183,184,170,155,154,156,156,160,159,156,148,137,127,122,149,153,142,132,126,155,203,202,193,175,162,172,180,172,159,161,170,178,167,156,169,156,150,155,141,152,194,199,208,196,179,190,196,172,148,161,188,216,176,163,152,149,160,181,174,143,157,168,179,197,211,202,184,181,157,150,168,195,142,130,127,134,148,170,175,160,145,151,155,166,178,171,157,156,147,140,156,179,140,123,123,134,140,153,168,172,152,151,145,149,159,154,144,146,156,148,161,181,156,135,134,144,140,139,160,180,171,166,154,154,163,159,152,155,147,140,153,169,0
207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,207,207,206,206,206,206,205,205,207,207,207,207,207,207,207,207,207,207,207,207,207,207,207,206,206,205,205,205,207,207,207,207,207,207,207,207,207,207,207,207,208,208,207,206,206,205,204,204,208,208,208,208,207,207,207,207,207,207,207,207,208,208,207,206,206,205,204,204,208,208,208,208,207,207,207,207,207,207,207,207,208,208,207,206,206,205,204,204,208,208,208,208,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,207,207,207,207,207,207,207,207,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,206,205,205,205,205,205,205,205,205,207,207,207,207,206,206,206,206,206,206,206,206,205,205,205,205,205,205,205,205,207,207,207,207,206,206,206,206,206,206,206,206,205,205,205,205,205,205,205,205,207,207,207,207,206,206,206,206,206,206,206,206,205,205,205,205,205,205,205,205,207,207,207,207,0
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95,116,121,113,106,92,78,76,76,71,75,93,103,97,86,80,83,101,107,92,89,105,108,98,93,84,74,77,76,78,90,108,111,93,73,63,81,103,119,116,95,109,109,99,93,85,77,81,90,90,97,106,104,90,83,84,90,109,123,125,107,117,115,107,101,88,76,78,95,93,96,100,98,93,99,111,110,114,115,111,122,122,111,100,98,86,76,79,86,85,90,95,91,83,86,96,107,101,96,94,145,133,109,98,99,93,85,89,85,74,66,64,59,54,60,70,74,68,69,79,154,136,108,97,102,95,80,79,74,55,37,34,36,38,47,58,56,48,50,68,143,123,98,92,98,84,56,47,43,29,24,34,45,49,50,53,64,51,50,66,122,79,74,84,57,42,44,34,39,26,26,41,48,41,39,47,45,49,61,86,87,50,47,60,43,39,53,53,38,38,46,52,46,37,40,51,51,54,72,110,60,34,38,54,45,45,58,60,43,50,55,54,47,42,43,46,47,62,95,144,60,43,46,60,56,52,54,49,58,57,50,45,48,55,49,37,48,88,134,177,78,57,45,46,49,52,56,53,68,64,52,41,45,54,49,36,59,123,166,189,97,74,45,31,37,53,68,80,69,71,63,48,42,47,53,52,72,134,158,159,105,95,69,49,48,57,69,82,66,65,61,55,55,61,67,72,82,122,118,106,101,109,98,79,68,57,52,58,65,54,49,56,73,83,85,84,92,109,84,72,66,91,107,102,96,94,78,56,64,64,64,73,89,98,97,90,80,90,71,69,72,88,99,101,103,106,100,88,101,105,109,113,116,112,104,98,84,93,74,72,83,83,88,98,108,116,119,120,120,131,138,135,120,100,87,82,84,94,75,72,93,82,79,94,109,115,122,132,118,132,143,135,106,76,62,62,79,89,72,68,1
109,104,100,110,123,123,136,164,184,203,209,207,210,206,202,205,215,216,208,190,140,118,107,127,141,129,134,164,181,200,206,205,208,206,202,207,208,217,224,223,180,140,119,143,159,139,134,165,180,198,204,202,205,204,203,208,189,200,209,213,204,163,133,145,164,150,143,161,180,197,203,201,204,203,201,208,201,204,204,201,209,182,147,140,156,161,154,156,180,197,203,200,205,203,201,206,209,207,205,204,203,196,164,139,148,164,160,152,175,193,200,200,204,203,199,204,198,197,200,205,201,207,182,152,150,161,156,148,165,186,195,197,202,202,199,203,204,201,202,207,203,212,194,164,157,157,152,147,157,179,191,195,202,202,199,203,209,201,197,200,204,199,193,184,175,165,158,154,162,169,179,189,197,201,202,201,200,200,200,200,203,200,195,189,181,174,168,165,168,173,182,189,196,200,202,202,201,201,201,201,201,199,197,194,189,185,181,179,177,180,186,191,196,200,202,203,202,202,202,202,198,198,197,196,195,192,191,189,186,187,190,193,196,200,201,203,202,202,202,202,196,197,198,198,198,196,195,194,195,194,196,196,198,199,201,203,200,200,200,200,194,195,196,197,198,197,197,196,198,198,199,199,199,200,201,202,201,201,201,201,191,193,195,197,199,199,199,199,200,200,200,201,201,201,200,199,202,202,202,202,189,190,193,197,200,201,202,201,200,201,201,202,202,201,200,199,203,203,203,203,191,197,199,197,200,205,206,203,202,201,199,199,202,203,203,201,200,201,203,203,187,195,200,199,200,203,204,203,202,200,198,198,201,202,202,200,198,200,203,203,180,192,201,202,199,199,201,202,201,199,196,196,199,200,200,199,197,199,202,203,174,188,202,205,199,196,198,202,200,198,194,194,197,198,199,198,195,198,202,204,0
208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,208,0
125,137,117,108,141,149,131,131,110,165,217,220,185,146,125,119,118,144,146,140,97,126,122,113,128,131,124,138,170,199,222,216,188,158,136,125,139,154,146,131,114,129,119,112,135,153,164,182,171,189,198,179,147,125,120,122,159,169,164,155,110,135,147,154,169,171,168,174,147,149,144,128,110,97,95,98,88,101,117,132,105,137,159,153,137,129,140,162,188,159,131,125,132,125,100,75,41,52,82,113,109,114,117,111,108,123,152,176,173,143,110,96,90,71,43,21,22,21,46,75,95,91,103,129,151,165,164,152,150,136,116,88,57,31,22,26,30,18,37,63,116,112,129,153,163,164,151,132,122,106,84,59,34,17,17,27,28,14,34,63,154,131,135,155,147,113,82,66,109,117,92,60,35,22,25,9,28,44,33,60,166,137,111,100,84,58,39,36,85,89,63,41,30,27,33,16,29,37,36,75,161,139,89,50,38,24,17,31,66,64,35,21,20,22,29,11,29,28,38,91,138,134,81,33,27,22,19,38,58,55,29,18,19,23,31,16,29,24,43,103,110,116,73,27,23,21,16,32,45,49,32,27,28,29,39,30,23,27,55,118,79,85,56,21,18,20,21,31,38,46,36,36,33,28,37,28,16,42,77,138,62,60,46,27,22,26,31,33,39,50,46,53,52,43,46,34,39,79,102,141,60,52,49,39,26,27,29,21,41,53,56,71,79,73,75,61,77,117,119,131,76,77,52,34,33,50,21,29,34,62,70,98,114,92,87,99,125,128,125,112,128,119,84,51,30,35,17,40,59,111,124,121,113,95,103,115,127,119,103,86,163,149,117,85,44,40,33,72,103,166,168,129,99,84,92,94,96,96,96,97,170,155,138,119,72,58,53,96,136,186,168,117,87,75,73,63,71,85,106,124,1
59,66,78,83,71,62,76,101,95,87,87,89,77,60,60,74,89,95,93,82,52,67,80,79,72,73,85,95,101,86,77,78,74,66,73,89,98,101,93,76,47,67,80,74,73,81,85,82,81,64,54,58,62,65,75,89,89,91,83,68,55,68,76,75,73,72,68,62,45,36,35,45,53,55,62,72,74,77,74,66,69,70,75,79,70,53,43,44,36,35,38,46,49,47,52,60,69,71,71,67,77,75,79,81,63,38,28,35,49,46,44,45,41,38,43,50,59,62,64,65,73,82,88,78,56,37,32,38,56,49,43,42,40,39,39,40,49,53,60,66,65,87,95,75,50,41,42,42,54,47,42,44,49,47,39,33,52,57,65,73,62,89,98,76,52,43,42,37,34,42,43,34,31,34,34,29,37,59,76,77,76,90,92,70,50,43,40,36,42,41,38,31,29,31,34,33,42,58,73,80,74,78,75,59,46,42,42,43,50,40,33,31,31,33,39,45,54,60,74,88,76,80,76,62,47,41,46,51,51,38,29,33,36,36,44,53,61,62,76,98,92,103,103,80,54,42,45,52,45,34,29,33,35,35,41,52,68,69,87,114,90,113,117,88,55,44,49,53,37,34,33,34,35,38,48,56,84,89,109,134,82,112,119,84,51,47,53,52,34,40,43,42,46,59,75,85,92,101,117,131,92,124,126,84,50,48,52,44,36,48,55,52,60,83,107,119,86,95,106,110,91,117,110,78,61,55,44,35,28,50,76,80,74,86,99,97,87,88,99,104,85,112,115,98,87,76,59,48,67,74,84,85,81,93,99,91,107,103,116,130,96,114,123,122,120,104,86,79,100,97,105,112,119,132,129,109,122,110,123,147,114,120,123,129,132,116,102,106,109,109,125,148,163,172,157,129,129,108,118,148,1
130,159,175,187,198,182,157,155,150,154,147,155,162,126,114,153,163,131,130,147,216,221,217,208,199,185,174,176,150,147,144,159,176,155,132,140,154,138,149,166,229,218,216,215,208,208,208,201,178,160,149,159,169,163,155,154,165,167,183,192,206,202,216,226,216,212,203,177,159,142,146,161,157,152,161,174,158,170,180,179,209,217,230,205,155,129,111,82,76,72,107,154,164,151,154,166,156,169,170,164,207,226,212,139,64,40,41,33,31,29,55,112,151,154,148,154,177,185,177,167,214,226,175,78,28,37,54,53,36,33,27,54,112,147,153,160,179,186,173,162,226,221,138,35,19,52,59,44,29,42,22,22,85,140,156,168,175,184,174,166,212,237,104,31,43,29,53,70,42,39,27,25,55,110,159,182,198,185,176,179,218,233,105,30,36,29,53,58,41,30,17,33,85,146,183,190,195,187,181,182,222,203,83,29,30,22,47,51,34,24,21,46,103,165,196,201,190,187,187,189,226,169,59,31,34,19,45,54,40,28,25,56,117,172,192,189,187,186,189,195,220,165,67,33,34,34,54,52,54,43,45,82,142,185,190,175,189,186,188,197,197,179,101,43,38,55,68,51,62,79,106,136,162,180,191,194,191,187,188,196,171,181,133,80,69,74,85,91,109,130,155,169,171,177,192,208,189,188,192,199,163,175,150,125,112,89,103,149,180,165,153,161,180,194,194,188,185,189,197,203,166,160,157,151,146,158,169,166,176,150,151,154,166,187,182,177,173,184,199,207,162,153,153,157,163,179,186,176,147,140,159,162,160,173,179,191,174,186,201,209,169,154,149,155,163,175,171,152,121,117,140,142,134,149,164,185,176,188,203,212,178,158,148,150,152,154,145,124,120,99,107,107,110,130,146,166,175,188,203,214,1
127,126,139,151,151,158,173,179,187,190,193,193,194,188,173,158,140,136,136,133,148,146,156,165,161,165,177,182,191,193,194,193,194,189,176,162,143,134,132,130,144,143,157,167,166,173,187,193,198,198,195,193,193,191,181,170,149,133,126,123,138,138,152,166,168,177,195,202,203,200,196,192,193,195,188,179,155,133,120,117,156,153,164,174,173,180,196,203,203,201,196,192,195,198,192,184,155,130,116,115,166,161,170,176,173,181,199,206,204,202,198,194,196,199,192,183,149,126,116,120,164,157,163,169,167,178,198,208,206,204,200,196,196,196,187,177,143,122,117,125,167,159,163,165,161,171,193,203,207,206,203,199,197,194,183,171,141,121,119,127,155,153,153,155,159,168,186,205,204,205,206,205,203,197,178,161,136,130,123,117,159,153,153,159,166,171,178,184,205,204,201,198,197,191,176,162,136,130,124,120,144,139,144,160,176,183,181,181,197,199,197,193,190,183,168,151,128,124,119,114,131,129,137,157,178,188,189,188,186,190,192,190,184,174,154,137,122,120,115,111,139,139,145,160,173,180,185,190,189,190,188,180,173,163,149,136,125,123,121,118,147,149,156,167,176,181,188,194,201,196,184,169,159,155,149,143,124,125,123,120,149,153,164,178,188,191,195,198,200,195,182,164,154,149,145,139,119,119,119,116,157,160,173,188,199,198,193,191,190,189,181,167,155,146,135,126,117,118,118,116,161,172,182,186,193,200,197,187,182,176,169,164,152,137,129,127,112,113,116,123,163,175,183,186,192,199,195,184,179,173,166,160,150,137,131,130,125,122,118,118,168,178,185,188,192,197,191,179,175,168,161,155,145,136,133,136,143,134,121,113,173,182,189,189,192,194,187,175,171,164,156,150,140,134,135,142,154,140,124,112,0
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