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37,30,38,38,51,50,54,64,68,74,81,84,85,90,91,91,90,91,85,90,95,99,96,90,85,84,61,46,45,51,45,39,61,74,83,92,95,91,101,102,104,111,112,108,108,111,116,119,109,108,105,104,99,97,102,101,97,93,88,85,83,63,164,207,91,100,106,101,109,93,92,104,114,124,122,117,118,122,131,129,128,123,111,99,100,101,96,92,101,98,94,90,88,86,75,199,105,110,113,112,90,104,118,113,111,94,113,122,129,132,134,131,137,138,118,99,95,99,97,95,94,91,91,88,88,85,89,79,113,111,113,92,95,122,130,123,82,80,101,116,131,133,133,137,143,136,127,110,99,94,99,97,88,93,85,86,83,82,86,83,110,118,113,94,96,117,128,99,124,37,112,103,128,125,127,132,138,131,126,117,104,98,100,111,105,93,89,83,79,78,80,80,111,119,113,89,93,110,126,102,64,93,113,95,125,121,128,128,134,127,122,120,118,114,119,105,103,97,92,83,73,72,74,62,115,124,121,93,80,116,101,113,42,80,92,80,120,119,125,133,130,127,123,118,116,112,103,80,73,77,65,81,81,79,77,71,122,127,126,87,71,110,109,112,44,51,88,80,116,118,130,139,134,143,133,126,110,97,107,62,70,101,107,92,84,80,65,56,126,136,134,82,59,101,110,95,14,66,83,96,123,125,135,135,132,133,142,131,111,121,128,68,96,104,116,115,101,87,74,60,129,143,153,93,64,81,99,73,49,87,91,116,123,127,137,121,121,142,142,133,123,129,121,53,111,122,108,110,104,97,96,93,135,154,167,104,66,74,99,63,46,102,109,127,128,131,121,149,124,79,99,138,123,124,106,89,117,110,117,106,105,99,89,93,130,162,167,110,72,80,82,89,90,107,112,124,124,130,116,147,100,36,90,126,125,130,100,65,123,118,113,104,99,94,78,76,131,144,156,134,95,89,107,105,100,112,120,122,127,120,123,149,92,23,99,117,123,112,95,49,111,130,104,105,91,69,72,70,132,141,162,144,114,105,119,132,128,118,124,128,128,134,156,166,105,26,84,123,124,109,93,36,97,133,100,102,85,60,49,58,135,149,158,141,119,113,122,134,125,129,130,132,138,139,166,136,109,61,56,128,133,117,80,36,98,185,102,99,74,49,48,57,135,142,169,148,124,114,129,138,127,128,129,133,136,162,197,132,90,54,46,108,139,118,91,46,86,145,94,91,75,46,42,51,129,143,173,142,117,103,108,114,112,111,118,124,124,130,154,121,93,65,39,101,136,120,88,47,108,151,81,91,71,40,38,44,133,144,163,123,98,83,88,96,79,96,105,107,112,120,131,122,80,37,68,122,119,91,70,42,107,152,99,88,65,43,43,48,127,146,149,119,88,67,66,87,110,91,95,108,103,104,124,114,38,48,101,116,110,100,62,31,101,81,87,83,61,44,41,58,115,146,146,100,74,64,92,75,72,96,99,102,110,104,115,127,41,56,94,105,111,94,58,30,97,112,95,80,65,51,50,63,114,136,124,74,65,74,94,80,42,96,98,115,112,98,118,133,55,48,89,96,110,91,70,35,104,102,96,80,76,59,54,69,109,123,111,62,57,98,94,103,78,104,87,100,112,122,95,101,73,61,114,114,107,105,72,57,96,99,104,91,74,70,61,70,103,118,102,65,71,110,103,122,61,90,85,71,108,118,121,118,128,130,130,114,107,109,59,58,77,104,91,80,81,71,70,85,97,104,95,64,75,106,90,95,24,46,80,61,108,113,127,135,130,124,114,111,101,98,56,60,105,92,95,90,74,77,80,74,93,95,82,73,90,105,87,91,36,101,87,60,108,106,120,126,128,105,93,97,99,88,87,67,75,95,90,78,81,73,69,70,89,95,74,78,81,105,110,88,57,33,100,80,113,110,116,120,117,104,92,86,96,87,80,75,62,72,67,71,60,56,51,39,88,90,91,64,78,99,114,89,85,46,82,101,116,116,118,120,117,108,94,86,84,81,83,82,75,67,61,57,43,47,46,46,83,87,90,83,63,96,104,102,85,68,96,104,114,114,116,122,124,112,92,78,74,79,80,73,67,65,53,55,54,47,47,62,64,77,84,80,77,67,79,86,86,99,99,103,108,116,116,115,118,102,79,60,61,68,73,77,70,66,63,53,52,58,59,33,36,54,60,70,73,72,78,77,82,95,100,105,104,107,107,106,99,86,72,65,74,73,78,74,65,60,54,47,60,35,35,32,33,33,33,34,40,48,53,61,65,64,69,77,86,90,91,87,85,83,77,77,68,67,67,62,55,54,52,41,31,33,31,34
180,175,176,177,178,176,165,160,159,170,186,191,185,177,168,162,163,160,154,153,148,148,142,140,133,125,114,103,82,74,74,77,185,183,180,179,177,168,146,143,151,160,180,193,193,186,176,172,169,165,160,152,148,142,134,142,139,133,123,110,100,83,72,68,189,188,182,181,179,153,133,136,138,137,170,194,198,196,188,181,175,175,165,159,152,149,140,139,142,135,133,124,111,96,83,73,193,191,188,183,184,146,131,132,123,123,175,199,200,199,196,185,182,182,175,164,155,152,144,141,140,139,135,130,119,105,93,79,194,194,193,191,184,143,129,125,102,111,171,194,199,202,201,193,191,185,179,170,159,152,145,141,137,140,137,133,120,111,99,84,198,198,198,196,184,144,129,94,75,100,152,192,199,201,200,198,197,192,185,177,168,159,146,137,137,140,139,132,124,118,106,90,199,199,200,198,182,142,120,85,93,137,151,185,197,201,200,200,200,196,190,180,169,163,147,131,124,142,144,132,130,121,113,96,201,203,201,197,177,132,112,76,72,121,151,179,195,201,201,199,199,198,192,182,176,155,147,124,113,136,146,145,137,128,123,107,202,203,203,199,173,119,117,89,108,102,147,169,196,201,201,201,202,199,191,183,180,170,150,119,107,131,149,151,143,139,131,115,204,206,204,201,175,104,112,80,89,142,151,170,193,200,202,201,202,200,193,182,181,176,147,111,93,140,158,156,141,145,138,125,204,206,204,202,175,95,109,105,162,180,153,172,193,200,201,200,198,195,187,186,187,175,145,108,85,140,160,161,147,144,144,138,205,204,203,200,179,103,112,101,125,158,153,179,196,200,199,197,196,189,186,188,187,175,147,114,83,138,160,159,148,142,146,144,206,205,204,198,181,125,120,121,127,148,168,181,194,196,197,194,187,175,177,188,188,177,156,128,90,138,161,148,136,134,152,150,205,206,204,195,183,138,126,135,136,160,164,182,187,184,189,183,167,157,137,150,187,171,159,141,103,128,161,146,132,129,150,146,204,203,201,194,181,148,138,143,144,151,170,184,184,183,180,168,166,162,133,106,164,168,157,150,114,125,157,143,127,134,153,146,201,199,196,192,181,163,153,156,164,172,182,188,184,180,170,166,162,162,114,119,143,173,161,153,129,124,154,136,126,147,151,145,198,199,197,195,189,179,178,183,190,190,190,188,184,180,171,163,163,148,60,128,134,166,163,160,135,125,150,130,117,166,148,137,198,198,197,189,185,182,180,194,202,202,199,194,192,190,184,182,170,134,63,124,138,158,153,168,139,113,144,129,112,173,149,135,199,201,195,189,182,168,157,177,194,198,200,198,198,196,192,197,181,139,94,102,132,136,141,176,151,109,140,127,111,160,148,129,200,200,196,193,178,160,136,140,138,155,173,181,191,193,186,195,189,145,112,89,120,134,145,174,146,113,135,122,110,135,135,121,198,195,196,190,168,139,112,111,116,140,141,151,162,180,186,187,188,148,102,83,121,137,143,152,109,109,128,124,109,119,123,118,193,191,197,188,158,117,106,98,117,138,147,153,154,152,163,178,175,126,73,99,127,135,137,134,101,107,126,120,111,111,126,123,192,194,198,188,138,102,99,91,130,155,140,160,171,175,166,159,137,104,89,100,145,137,130,125,82,98,119,115,116,114,125,122,188,192,196,185,122,88,100,89,96,130,134,156,171,184,187,181,167,149,141,148,144,135,125,112,71,114,119,126,120,118,124,118,185,187,192,184,125,89,103,78,87,102,133,150,169,185,189,189,187,186,181,176,158,142,124,93,81,135,146,135,122,117,110,100,178,181,185,180,124,95,102,68,98,141,137,148,167,182,189,188,188,185,180,177,173,153,134,109,100,130,146,131,116,113,102,75,173,174,178,177,123,101,105,82,116,137,134,150,168,179,182,185,185,185,180,176,170,159,142,124,112,123,133,124,113,102,80,64,167,169,168,165,135,106,115,76,62,99,125,150,166,178,181,180,181,178,173,164,157,150,138,120,109,130,128,109,96,78,67,72,154,158,159,162,139,105,122,93,83,83,122,145,162,180,179,178,175,171,157,149,145,135,129,115,115,115,103,96,80,79,83,82,128,133,136,141,138,109,124,108,107,104,120,147,160,173,171,163,159,156,147,138,130,126,120,116,111,102,87,81,84,86,85,84,71,102,109,127,124,91,98,107,106,120,137,144,149,148,152,147,146,137,131,123,118,116,110,103,93,84,87,89,88,87,87,88,58,42,28,22,27,41,63,74,88,114,130,126,123,118,117,114,110,106,105,105,102,97,92,90,89,90,92,92,89,88,88,88
42,38,47,32,30,28,29,36,51,73,74,78,81,78,75,72,75,77,76,77,78,76,76,73,72,73,68,68,68,68,79,111,27,36,53,70,87,90,98,106,114,129,142,138,133,125,120,117,119,115,111,108,102,86,75,74,67,68,71,66,66,68,66,47,121,133,136,140,142,140,120,112,123,139,164,173,169,163,148,149,142,138,133,127,123,120,117,118,107,92,68,67,67,71,91,62,150,161,160,153,153,122,100,111,117,128,150,179,185,183,177,165,159,159,149,140,133,131,122,126,124,118,107,85,65,66,41,25,174,177,177,177,167,127,106,119,112,108,136,180,190,192,188,177,177,170,162,158,147,136,127,126,128,126,122,109,89,65,84,100,182,186,188,186,174,135,117,102,81,80,137,172,187,192,185,185,183,181,172,159,155,149,134,128,131,131,129,118,104,87,67,76,188,192,191,189,174,131,116,83,62,105,132,173,187,192,188,187,186,182,174,170,161,154,142,117,121,144,143,127,113,103,77,63,190,195,197,193,184,121,112,73,89,131,141,166,182,190,189,189,189,185,181,177,176,167,145,116,113,143,149,139,124,115,95,69,198,199,200,199,186,107,109,78,75,98,147,161,181,191,189,189,191,190,184,182,179,169,143,109,104,141,162,143,129,125,111,82,198,201,200,198,188,109,103,106,155,116,155,161,181,190,189,188,188,190,185,182,180,166,142,108,77,140,160,149,138,129,128,114,200,200,201,198,188,124,104,106,143,179,165,168,187,186,187,187,184,168,157,175,176,168,148,124,78,132,145,140,134,134,142,130,203,202,203,198,190,143,110,107,125,166,163,174,179,176,177,169,153,126,114,117,164,159,152,145,89,116,138,131,125,133,146,140,204,205,204,201,193,160,128,120,115,133,158,169,169,161,155,158,131,92,71,113,151,161,154,157,90,118,130,123,123,142,152,139,204,206,204,201,191,174,153,134,126,138,161,168,171,169,176,184,151,110,49,100,139,159,164,171,98,126,129,114,122,154,148,137,205,205,205,202,197,184,172,170,176,180,182,185,188,186,187,196,176,120,100,101,139,154,173,181,110,121,133,108,113,171,153,140,207,205,203,202,199,194,187,196,202,204,199,194,195,194,191,196,183,133,101,117,135,139,161,190,131,113,142,113,110,183,167,149,207,205,202,200,195,185,176,194,202,199,195,188,188,190,185,190,166,126,96,133,141,149,156,182,119,120,141,115,113,169,170,148,205,205,202,199,191,171,156,173,184,184,182,177,173,173,169,174,144,93,65,141,148,153,161,170,105,125,138,127,116,158,169,147,205,203,202,201,186,148,141,155,161,161,167,173,171,167,152,155,146,123,76,139,153,157,158,159,109,128,138,136,126,142,158,153,204,202,205,201,180,136,133,139,137,160,176,180,176,178,168,157,155,145,120,118,164,161,158,152,109,117,139,138,132,139,161,162,203,205,206,203,167,129,127,131,124,156,185,185,188,188,190,184,165,150,136,145,165,170,159,143,110,114,145,145,144,143,159,158,203,203,205,204,164,113,125,108,112,139,165,187,192,195,197,195,194,189,190,192,182,178,156,131,105,121,150,155,151,145,153,151,201,200,203,203,169,113,122,92,116,163,153,173,191,196,198,199,199,196,192,193,192,183,164,123,90,130,157,162,155,148,152,142,200,200,201,201,169,106,123,85,84,107,159,161,192,198,199,199,199,199,195,192,191,187,170,136,95,120,165,171,153,143,141,129,199,200,200,198,178,111,132,95,115,93,153,166,193,198,201,199,197,197,195,192,188,184,175,152,125,110,146,162,140,138,136,122,199,200,199,198,182,131,137,106,98,133,150,171,190,198,198,196,197,196,193,188,184,178,171,157,133,128,140,144,135,130,130,112,196,197,198,197,184,145,137,103,88,146,151,172,193,198,199,196,195,193,190,181,175,172,163,154,141,143,148,138,131,122,121,100,193,195,198,196,189,158,138,122,90,90,132,169,191,198,198,195,194,192,185,179,167,165,160,151,145,142,140,134,124,115,108,89,189,192,192,191,190,170,138,144,104,103,134,167,186,197,200,192,190,184,180,173,165,161,157,149,147,138,135,126,118,109,96,73,181,181,180,182,181,169,131,143,132,123,130,168,187,195,195,190,181,181,173,163,158,154,151,148,141,133,117,120,113,101,81,61,162,168,169,169,169,164,127,139,141,138,139,160,190,193,186,178,172,167,161,155,153,145,140,139,129,126,120,112,104,84,64,68,154,159,162,163,162,158,148,133,136,143,154,176,184,183,172,168,160,151,149,145,142,142,134,134,127,118,109,98,84,72,77,77
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143,177,193,202,205,204,202,200,199,197,200,203,201,202,198,197,194,192,193,194,192,190,187,171,116,49,30,31,94,90,27,31,200,210,208,206,204,202,198,201,201,201,202,205,207,206,203,200,199,199,193,191,190,192,189,185,190,189,174,115,75,75,49,67,204,205,201,196,195,203,204,204,207,210,206,203,201,208,208,205,202,201,198,191,188,187,187,190,189,185,179,173,167,104,55,89,202,197,182,199,210,208,201,189,189,190,183,193,199,201,204,206,204,199,193,189,189,186,189,193,192,187,189,182,177,166,116,106,197,183,181,198,200,182,188,188,200,182,184,196,191,195,202,205,206,201,195,189,188,188,185,187,181,190,195,196,173,177,171,143,178,156,187,195,180,163,197,209,196,166,192,192,186,191,198,199,200,205,198,184,180,181,184,187,186,188,186,183,175,170,166,157,151,148,181,173,154,175,204,200,175,133,195,188,183,187,189,188,194,191,187,184,175,176,186,194,198,182,181,172,169,171,169,159,156,141,173,152,146,183,190,165,66,111,188,175,182,180,181,184,185,180,171,161,158,158,156,165,175,184,175,163,160,156,157,158,147,141,163,144,144,176,169,136,49,126,173,166,175,180,171,180,174,161,153,142,128,121,146,162,170,166,167,161,160,166,168,169,141,114,164,149,149,166,148,116,64,130,157,171,174,171,178,177,161,149,131,121,115,123,152,172,157,140,141,157,154,174,175,168,143,120,152,155,162,157,138,116,70,148,158,164,170,177,178,171,150,129,120,118,126,163,167,146,124,174,190,184,175,174,173,171,151,123,139,148,149,154,136,120,97,139,157,166,181,177,177,155,132,121,119,138,173,180,173,80,82,164,175,172,161,167,167,168,155,129,130,150,144,132,129,132,130,139,156,185,191,186,163,138,133,130,144,176,176,171,90,48,40,150,161,161,159,158,162,167,169,162,148,154,161,135,113,131,156,157,187,191,194,193,179,191,169,149,176,178,176,94,38,41,69,139,147,142,145,137,149,156,166,170,163,160,187,197,186,177,176,184,183,194,196,189,192,153,76,128,180,174,147,65,74,168,153,141,144,123,124,126,144,155,164,163,159,158,170,190,208,197,188,188,187,189,182,182,174,107,54,128,158,169,133,51,74,163,123,126,137,94,93,106,139,142,165,161,160,152,160,171,180,185,173,188,181,183,186,193,164,143,138,130,120,155,120,70,126,183,152,140,133,80,75,99,138,143,175,172,158,162,169,170,167,153,143,161,182,177,172,170,146,113,116,98,59,132,130,86,62,128,123,95,121,84,72,102,137,130,172,168,160,152,156,169,170,164,147,157,158,159,170,169,129,96,87,90,82,136,114,78,116,152,132,147,122,80,69,105,138,131,175,165,155,153,153,134,109,112,147,152,148,145,148,153,146,121,87,110,124,139,121,57,73,149,111,113,129,91,80,107,133,127,167,157,137,133,135,131,127,112,120,143,160,159,161,150,136,94,41,106,152,141,131,70,45,140,111,114,120,99,105,121,134,132,158,124,123,138,146,151,131,125,91,138,151,163,159,161,138,151,125,99,125,145,139,115,51,38,44,109,130,116,128,136,139,140,145,107,123,141,151,157,144,124,67,147,153,156,164,162,158,149,119,96,135,141,148,147,110,65,80,127,127,139,138,137,137,145,138,114,140,148,160,165,160,130,53,143,152,157,159,158,165,163,147,121,106,123,148,149,148,119,114,145,153,151,144,140,140,141,126,115,154,150,161,176,166,121,42,108,154,160,162,158,161,158,147,136,122,109,109,128,152,155,140,132,130,140,143,146,143,139,136,127,163,157,158,165,172,149,85,110,168,158,161,159,158,159,148,141,134,121,117,114,142,148,148,148,143,139,138,140,141,133,141,132,163,163,158,165,173,181,153,109,166,161,161,163,157,160,163,160,148,132,130,137,149,145,153,154,153,146,140,139,140,135,145,129,143,174,178,165,168,165,154,146,164,169,168,162,167,164,171,179,169,154,146,150,161,162,158,157,152,148,145,143,142,106,152,141,132,145,172,174,160,158,161,151,155,166,169,174,169,172,175,168,163,156,152,154,159,162,163,161,154,146,142,114,48,55,128,134,139,140,142,146,145,141,143,149,155,164,162,167,172,178,168,161,153,151,152,155,154,151,146,139,124,83,50,65,72,66,142,141,138,133,125,113,121,132,136,134,130,131,140,145,151,145,122,115,115,106,97,110,96,76,77,84,97,95,84,87,87,98,137,142,145,162,158,159,143,123,124,111,83,85,97,107,66,69,80,76,57,78,90,95,100,111,108,100,91,93,92,98,104,96
30,26,31,28,30,36,53,75,102,108,106,106,105,110,132,142,107,89,87,89,88,86,85,92,88,118,189,179,206,211,214,221,30,30,28,37,49,61,84,106,111,118,125,131,131,116,107,99,97,93,87,91,89,89,89,91,90,185,191,208,164,105,70,75,26,32,37,48,55,92,105,82,89,111,139,142,140,127,118,110,107,106,105,102,96,95,91,87,139,179,195,99,88,94,126,124,31,39,44,62,80,121,98,84,82,74,131,151,150,141,128,121,114,104,106,107,103,105,103,95,87,87,110,116,118,113,121,120,36,51,55,75,84,119,90,83,62,55,112,143,156,150,135,131,123,117,115,113,112,115,105,105,99,92,85,97,112,113,113,121,39,48,67,82,97,114,87,84,40,56,105,131,155,156,146,137,136,127,119,117,121,127,122,111,102,92,91,89,81,97,103,109,43,48,64,81,105,125,88,74,57,62,111,114,154,156,161,147,139,133,127,121,122,126,124,119,112,103,95,95,87,74,81,92,44,44,53,75,104,128,86,64,31,50,97,104,152,166,166,159,144,133,132,133,134,127,124,114,112,102,99,98,93,82,77,74,40,40,45,74,98,129,94,63,22,42,93,92,147,167,163,160,147,137,143,144,135,129,116,103,98,111,106,102,105,94,79,74,37,44,46,66,98,120,99,56,32,59,79,98,153,167,165,152,141,133,143,144,141,127,113,77,116,119,117,107,110,105,84,75,38,45,52,66,102,123,101,56,52,55,65,91,152,154,149,144,128,141,147,149,142,132,109,60,134,118,111,109,115,114,99,85,39,50,59,73,106,118,108,72,41,50,66,99,146,146,134,130,128,97,124,148,141,127,112,52,119,117,107,102,119,121,104,86,47,51,61,86,108,116,116,81,56,54,68,105,134,132,132,141,126,64,55,122,140,137,111,54,119,109,104,98,126,127,110,90,51,54,68,95,108,117,123,101,70,53,77,120,127,132,129,136,116,74,48,91,137,143,105,62,122,103,92,94,136,132,118,91,63,59,78,100,112,119,123,108,86,126,149,149,148,153,153,152,137,89,52,79,127,154,92,57,135,96,84,99,149,135,119,97,74,71,91,111,112,117,120,116,105,149,170,171,174,170,167,176,139,96,58,85,100,135,99,55,137,93,80,104,145,134,116,98,78,82,100,114,117,115,118,109,99,139,159,159,160,163,162,159,143,87,58,81,83,106,112,50,140,99,79,104,147,129,117,94,79,94,106,114,115,115,117,96,82,100,120,124,138,140,152,151,131,79,69,95,95,114,87,55,132,99,85,97,149,132,115,97,89,100,113,121,117,120,108,78,65,77,100,126,132,139,131,141,128,76,69,103,105,114,97,60,125,102,90,95,139,130,113,90,94,105,118,120,127,122,106,69,60,63,104,116,129,131,137,155,136,71,81,111,106,114,104,61,122,113,95,99,137,132,106,87,104,113,118,126,129,122,95,53,44,47,83,114,134,139,138,125,132,92,106,112,117,116,109,59,114,95,104,107,106,120,98,89,113,112,119,136,135,126,90,54,50,55,78,94,134,149,152,142,135,129,115,116,126,124,101,60,115,119,107,105,119,115,101,88,114,116,126,136,135,122,80,53,55,82,85,91,132,159,156,152,143,140,144,140,137,129,100,63,112,121,109,103,111,106,93,91,113,118,124,131,134,126,80,61,25,49,89,91,123,151,159,160,154,139,139,139,141,129,99,81,101,115,108,101,103,98,94,94,116,123,131,132,137,122,78,67,29,39,92,100,128,153,167,155,152,141,138,141,135,125,113,103,99,105,102,98,100,92,89,97,120,123,131,133,141,126,86,77,41,83,107,103,138,151,157,154,151,137,123,127,130,125,114,108,105,104,104,104,97,94,93,88,111,123,127,128,135,118,90,85,45,73,106,109,138,148,154,151,139,132,121,116,123,122,115,103,102,103,104,100,92,97,86,88,105,115,116,118,127,119,95,86,71,64,111,115,140,151,149,143,134,122,114,108,114,112,110,107,106,101,97,93,95,93,97,89,93,95,105,113,112,117,100,92,91,73,114,121,138,149,138,134,124,114,106,103,106,108,103,100,100,100,98,90,110,105,68,48,74,82,92,108,109,108,106,95,101,102,113,122,139,136,125,119,111,105,99,102,104,99,105,98,98,95,53,113,95,114,148,156,55,56,68,96,104,110,105,104,108,109,114,124,127,123,120,106,100,103,99,99,102,96,94,99,70,52,53,48,121,134,106,58,44,36,36,54,96,104,106,105,109,114,116,118,120,110,102,102,101,99,101,103,105,89,64,50,55,53,53,51,46,73,161,150
33,30,37,57,121,128,134,136,142,143,149,149,139,131,126,126,120,115,110,113,112,110,107,95,88,92,177,194,186,129,97,48,32,27,36,64,118,129,137,137,135,148,155,155,148,137,133,125,118,114,115,117,120,115,114,110,103,113,171,165,104,98,90,134,29,27,38,58,90,129,120,107,118,143,159,163,160,152,140,131,122,116,105,116,122,121,123,116,113,103,93,119,116,121,119,125,30,35,51,80,139,147,109,96,90,129,163,169,171,150,147,140,128,118,116,120,128,134,124,122,110,115,106,97,117,116,124,123,32,40,61,107,150,147,107,92,58,121,159,169,180,165,156,144,133,116,107,124,140,139,139,131,123,115,114,99,93,110,117,126,39,54,74,108,147,138,99,90,42,123,126,170,182,173,159,146,132,115,110,129,138,137,136,132,128,124,122,112,92,81,102,109,44,61,89,109,150,132,101,85,60,115,121,164,175,178,170,147,130,115,120,136,136,133,128,122,122,124,125,123,108,85,80,97,51,57,91,107,153,142,93,78,28,92,112,154,175,176,167,150,128,115,137,138,132,125,107,115,138,135,127,134,125,105,74,76,56,61,81,100,149,140,82,70,32,79,103,144,173,175,165,143,118,119,138,142,129,128,89,138,133,129,127,139,144,127,95,74,50,60,61,95,150,147,89,57,46,69,93,144,173,173,160,128,115,139,155,150,136,125,57,132,138,128,119,126,149,143,113,73,46,58,57,87,136,143,100,56,69,67,80,152,167,172,149,110,145,146,154,149,136,112,47,134,132,126,110,123,150,145,128,89,43,49,59,73,120,139,105,58,34,58,85,159,166,161,135,141,112,135,151,150,142,100,47,114,126,114,112,120,150,152,127,97,39,47,59,71,109,137,113,68,51,57,87,149,150,146,152,153,120,51,138,146,148,84,74,87,137,112,105,121,150,156,128,100,35,42,59,69,103,129,124,79,64,60,95,144,145,151,146,154,125,49,113,143,147,79,75,98,133,118,96,120,164,149,125,97,36,44,58,78,103,128,130,103,77,86,126,140,148,151,149,151,113,61,76,123,154,79,100,86,121,117,85,114,158,143,122,93,53,52,66,87,106,124,130,114,94,151,169,166,167,169,163,174,132,85,55,84,136,88,57,85,124,114,79,107,149,136,117,91,58,59,68,90,106,121,132,119,111,156,168,170,170,170,167,164,127,86,61,83,127,95,89,92,132,118,82,105,147,133,112,89,54,66,72,99,107,116,125,112,97,131,151,154,154,156,160,159,118,72,62,94,114,78,78,94,120,104,91,93,139,125,109,84,72,63,81,104,112,117,119,99,75,74,98,101,119,126,136,146,102,57,75,95,111,77,68,72,113,99,91,96,130,121,104,82,72,76,83,107,116,115,109,85,61,54,84,107,108,121,124,133,99,48,91,104,106,85,44,65,102,99,91,94,115,130,96,79,76,79,97,117,122,115,106,67,49,55,89,113,115,112,133,146,104,82,101,103,101,97,41,77,101,91,93,102,111,112,93,81,77,86,111,123,122,113,100,53,39,47,79,112,135,135,114,100,97,97,105,108,103,94,47,87,103,101,98,108,115,99,81,83,84,97,122,125,118,109,88,52,56,64,81,103,135,142,140,126,107,93,93,103,100,94,78,95,102,103,100,103,94,83,92,90,104,110,120,127,119,113,87,54,28,61,83,92,133,150,150,138,117,109,106,99,96,94,92,92,98,93,95,92,87,92,91,91,96,112,120,119,125,116,77,58,24,58,95,85,126,151,148,141,121,105,104,108,102,104,101,102,100,100,95,87,89,89,88,85,93,111,111,120,127,113,73,64,32,74,100,93,137,150,148,139,123,102,92,103,113,109,103,103,100,94,89,91,85,89,87,91,101,110,118,119,125,117,77,71,49,74,100,97,133,143,143,134,113,97,92,96,106,104,102,94,95,89,95,94,91,84,93,91,98,113,115,118,121,107,81,78,45,68,102,107,131,134,136,123,110,96,90,92,98,93,93,93,85,97,78,76,64,68,57,29,80,103,108,111,110,101,79,80,74,64,110,109,120,123,128,118,105,92,91,95,96,96,93,75,142,85,144,130,99,97,114,144,69,90,93,101,102,102,85,83,91,84,107,111,114,108,111,103,96,93,92,95,92,73,52,51,61,148,97,85,142,163,147,122,50,59,70,93,99,101,96,90,97,103,110,108,104,103,104,100,100,94,66,53,48,51,47,51,51,73,163,132,96,66,97,124,40,41,45,38,73,98,101,109,107,105,98,103,94,96,102,88,51,51,53,50,53,54,52,51,51,50,48,138,170,162,161,159
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30,36,36,38,40,42,59,98,136,152,158,153,151,147,146,139,130,128,126,117,99,94,96,94,94,94,94,88,133,140,129,149,66,79,79,78,81,103,141,162,166,164,164,159,154,150,153,153,156,150,130,124,128,119,101,93,94,97,94,148,113,71,29,34,128,137,142,139,150,156,154,157,147,150,164,173,171,168,164,159,157,157,154,145,131,129,132,119,101,94,135,102,90,118,149,145,165,177,174,171,168,170,153,135,123,129,153,182,183,181,167,164,154,162,162,162,146,137,130,133,127,113,117,136,141,140,143,143,182,184,184,184,181,184,154,133,124,96,158,170,177,189,179,165,166,165,167,162,151,142,138,130,130,125,114,102,134,133,135,142,193,192,192,190,191,187,134,129,113,89,169,169,166,181,186,179,177,174,170,161,153,145,139,126,141,133,122,112,88,129,133,131,196,195,195,193,193,190,150,119,92,98,168,166,173,178,190,186,186,176,161,151,144,139,133,134,139,133,123,111,100,82,119,132,197,196,197,196,195,188,145,111,76,92,173,166,174,184,192,190,182,169,155,149,139,138,139,132,136,135,126,126,125,104,81,112,197,199,198,196,191,182,130,100,66,62,170,167,173,191,193,190,178,155,141,149,147,140,128,109,130,145,136,134,140,132,103,76,199,200,199,194,188,178,116,97,66,86,159,175,173,195,194,182,167,132,143,156,144,135,95,84,159,154,149,142,145,145,132,88,200,200,200,197,188,173,116,94,87,115,156,162,185,193,188,166,138,141,164,159,140,125,58,82,158,149,147,143,154,153,141,113,201,201,199,197,188,176,121,91,83,81,154,163,189,184,170,145,127,155,165,151,146,123,62,66,140,135,137,146,150,164,149,120,200,200,200,194,188,174,127,91,89,118,158,179,178,171,152,168,143,93,160,146,145,107,67,61,148,130,108,137,154,159,149,116,200,197,195,192,188,176,142,100,98,114,166,177,173,172,173,177,128,60,113,154,163,84,98,68,138,135,88,119,157,164,148,127,197,193,192,191,187,177,153,129,159,176,178,176,176,183,183,187,141,82,98,144,176,75,122,74,130,138,82,96,159,161,153,127,194,193,193,191,188,176,160,163,191,199,195,195,198,200,199,195,133,82,78,116,175,82,97,79,130,141,87,94,152,163,155,125,193,193,191,190,187,173,168,174,191,198,197,190,184,176,174,176,130,76,86,107,148,64,120,94,137,129,77,100,159,160,145,112,195,194,190,190,187,176,160,153,170,173,166,151,150,144,134,133,105,64,89,107,125,65,87,72,129,121,86,112,149,152,135,101,193,194,193,191,188,175,146,118,124,127,137,139,140,131,132,141,104,73,109,105,108,85,75,63,121,113,99,116,144,149,130,102,193,196,193,190,186,171,124,92,84,94,122,144,140,137,111,121,113,105,124,109,99,100,53,47,115,116,115,128,150,144,118,97,194,193,192,187,176,169,121,86,87,97,137,156,163,161,155,138,121,123,128,115,104,101,68,55,126,130,127,125,129,124,107,84,192,192,191,184,177,170,106,81,84,84,145,161,175,178,177,172,163,156,150,137,116,106,89,78,116,124,119,110,117,108,92,72,189,189,188,180,175,164,106,82,85,122,150,164,174,183,184,178,171,161,157,148,131,119,110,100,111,118,108,106,104,97,74,90,186,186,185,179,174,156,105,90,56,77,150,162,157,182,184,178,167,160,151,142,132,119,114,108,107,106,102,101,94,80,89,94,179,180,179,175,170,153,108,94,48,65,147,161,151,175,178,170,162,146,140,131,126,114,108,106,110,104,100,96,83,86,92,95,164,173,169,168,170,155,114,95,69,101,142,147,147,160,172,165,153,132,126,117,116,114,109,112,103,103,95,89,85,90,92,92,148,156,158,160,162,156,120,101,71,98,127,137,136,152,166,150,138,121,119,112,110,106,107,108,104,99,86,83,88,87,81,89,139,142,145,148,145,139,113,111,81,79,118,119,135,157,149,135,121,112,110,110,107,104,109,105,100,91,83,83,82,83,90,82,123,125,126,126,128,129,98,95,97,83,102,121,137,145,128,120,107,110,109,104,94,97,96,92,52,39,51,56,26,33,49,58,106,108,110,107,107,102,97,85,86,100,106,117,121,117,113,110,105,108,105,94,92,90,64,37,36,42,39,53,76,78,58,47,69,86,91,96,97,100,99,99,97,101,106,106,105,100,99,102,97,88,89,89,66,39,42,41,38,38,38,37,45,50,71,80,33,36,42,40,36,43,70,96,103,103,102,101,95,93,92,88,84,82,62,43,40,40,41,43,40,38,37,36,37,59,54,35
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110,109,109,117,122,130,132,133,137,139,138,134,124,106,90,95,97,96,118,118,64,70,69,70,69,69,66,68,68,59,39,53,132,136,131,129,126,130,128,131,139,144,151,150,148,139,124,105,100,96,97,96,95,83,66,64,69,76,92,100,104,105,108,116,150,145,136,134,125,118,116,119,129,147,157,163,164,161,157,146,127,110,105,102,99,98,94,81,81,114,113,111,109,110,111,117,145,144,147,142,125,110,117,118,116,133,152,163,170,172,166,162,148,128,115,109,103,101,96,94,81,65,84,98,104,105,111,113,161,163,167,156,133,127,123,108,112,134,159,164,171,178,174,174,165,150,133,115,115,112,104,104,104,89,71,60,74,86,90,99,175,176,175,158,129,131,125,102,102,137,154,175,175,180,179,181,173,163,148,134,128,131,123,115,108,111,101,81,56,61,62,76,179,184,179,151,123,129,116,119,113,137,154,176,185,186,190,186,180,169,152,140,138,145,143,130,125,119,119,115,87,56,57,60,184,189,185,155,113,126,131,104,122,153,156,176,193,191,192,194,189,180,165,154,151,157,159,148,137,130,125,131,122,84,57,60,189,192,187,151,106,119,142,72,90,146,158,171,195,195,195,195,190,180,169,159,161,162,171,173,163,148,140,135,135,114,71,56,193,195,190,151,106,104,138,101,110,158,156,183,196,196,196,194,191,182,167,167,164,152,155,176,179,167,155,151,151,141,102,59,197,200,195,158,104,92,133,130,173,168,150,182,196,197,196,192,182,171,173,180,166,141,137,178,181,177,171,167,168,162,137,89,202,201,197,173,116,94,116,137,157,163,164,185,196,195,195,188,174,173,186,177,164,139,101,178,176,174,170,175,178,174,157,120,202,201,196,185,147,105,101,139,133,152,171,190,191,194,198,194,175,182,189,178,176,135,65,136,163,170,172,180,190,188,178,147,202,202,199,192,167,131,93,114,149,158,167,177,180,185,181,153,142,170,183,180,177,139,83,114,145,141,161,173,189,192,185,167,201,201,199,188,175,155,131,96,110,143,164,170,172,169,155,152,111,115,170,177,179,135,81,96,167,146,138,165,191,194,190,174,203,203,201,191,179,174,172,162,144,151,165,170,165,158,161,169,118,73,130,175,184,139,104,127,158,160,131,154,189,196,193,179,201,202,199,196,187,186,192,195,188,180,171,160,152,159,168,170,134,65,103,159,186,142,98,123,150,169,129,145,185,195,192,179,202,202,201,197,190,190,198,202,200,197,195,191,190,181,183,187,166,104,81,138,177,144,119,141,139,160,131,144,182,195,194,178,202,201,199,193,185,181,192,198,198,199,197,200,200,200,200,200,180,130,99,144,170,140,109,160,141,166,131,150,179,193,194,178,201,201,200,192,183,176,174,158,146,155,172,180,183,187,187,195,175,126,128,158,168,132,111,144,136,145,134,155,179,192,191,176,202,201,198,191,179,155,123,121,152,155,146,155,154,155,160,168,137,105,148,162,163,129,100,124,131,134,152,166,179,192,189,165,201,202,197,190,166,123,103,129,139,144,149,167,180,178,167,157,138,135,159,161,162,136,91,104,139,154,162,171,177,178,169,141,200,198,193,186,142,99,108,128,137,156,141,163,185,189,191,179,158,161,167,165,162,141,96,140,159,163,169,170,166,158,139,106,198,194,191,186,122,89,119,111,94,127,142,161,185,190,191,189,171,162,180,173,160,150,128,154,167,172,168,154,140,129,108,101,194,196,194,178,119,92,132,106,112,112,140,155,182,188,192,187,183,171,156,164,158,147,160,175,172,157,144,133,131,116,106,124,187,191,189,168,118,101,124,119,124,147,138,157,182,189,188,189,184,175,165,156,145,160,173,169,152,139,130,124,115,96,108,105,177,186,186,159,119,110,112,131,122,143,136,161,176,185,190,188,182,170,163,156,154,156,156,151,137,125,117,104,86,90,91,92,170,177,180,154,124,125,120,110,105,116,144,165,172,181,185,183,179,170,155,147,145,148,144,133,122,110,97,90,94,95,94,93,143,147,164,157,130,127,129,115,116,123,148,159,163,174,179,173,165,159,147,138,141,136,125,111,102,93,94,94,96,95,95,94,129,130,133,135,126,114,129,125,122,131,145,152,158,163,164,163,153,141,132,124,115,104,93,88,94,97,97,95,95,96,93,94,90,84,74,74,82,92,113,116,124,134,142,140,136,136,134,132,145,147,157,123,96,96,95,97,97,97,95,98,98,95,96,95,60,52,50,52,48,49,56,84,86,84,87,123,147,143,137,146,143,149,123,98,96,98,98,100,98,100,93,95,96,95,95,96
125,114,115,115,111,116,111,107,106,105,107,104,108,103,105,101,103,107,102,101,97,103,102,100,95,103,99,94,98,94,93,94,72,84,108,114,111,114,113,106,107,110,107,106,104,105,105,104,102,102,103,104,102,101,101,99,97,100,99,96,97,95,94,94,50,56,42,64,103,109,100,108,121,84,94,101,100,100,97,95,91,93,98,98,101,101,99,100,99,98,98,96,95,95,94,95,137,144,151,155,130,110,98,91,86,106,136,146,155,160,165,164,160,154,137,114,100,102,101,99,98,99,99,99,99,96,98,95,153,168,177,172,130,92,88,84,74,80,119,139,155,158,177,176,171,162,150,130,108,98,96,99,100,98,99,98,98,97,96,95,169,176,183,177,138,92,84,79,103,91,130,128,142,172,169,182,181,172,158,136,116,102,108,103,95,99,99,98,98,96,96,96,180,185,186,181,138,92,74,86,102,150,157,129,116,177,175,182,181,172,159,136,124,119,125,128,121,95,89,96,98,98,95,95,184,191,190,184,150,91,67,80,57,88,148,133,120,179,184,183,182,169,154,132,119,127,122,138,148,133,104,94,94,96,95,95,192,196,193,186,161,97,63,66,48,50,144,110,152,184,182,187,172,159,130,118,156,152,126,103,133,155,151,126,116,115,90,92,195,198,195,183,168,126,74,57,61,71,134,116,167,184,183,184,177,141,120,169,167,154,140,84,138,163,163,164,156,145,146,133,198,197,194,185,167,142,96,54,69,86,113,144,174,182,180,174,162,148,150,176,174,161,162,83,87,159,163,157,159,170,169,167,201,200,195,187,169,146,123,74,51,77,114,148,166,165,158,158,162,160,114,125,152,164,160,91,25,92,129,123,144,159,178,182,200,198,196,189,173,155,143,150,146,113,147,159,163,169,174,178,183,180,135,75,86,142,166,100,51,55,150,133,102,136,173,181,200,195,193,188,178,164,164,180,192,194,190,194,198,202,203,199,197,185,126,87,72,98,141,101,90,41,136,152,102,107,173,187,200,197,195,188,177,167,173,185,198,200,201,200,197,190,186,181,178,176,121,89,79,97,110,88,73,67,118,145,107,96,168,186,200,198,193,187,171,155,153,174,189,193,187,180,170,165,170,168,167,159,101,77,87,95,107,78,70,81,103,142,107,94,152,183,200,198,196,185,169,148,135,140,159,151,149,159,155,152,151,142,168,158,77,86,102,112,107,85,83,100,95,141,110,101,151,188,202,199,195,181,170,142,119,105,105,115,133,151,158,159,151,136,167,158,87,93,117,116,114,85,74,80,97,128,106,102,150,186,201,201,196,180,166,125,101,89,82,91,129,158,161,156,165,147,156,151,102,109,120,120,129,90,93,98,112,115,107,119,149,182,201,199,190,179,165,106,98,78,81,93,124,142,175,178,178,177,143,113,100,117,124,133,139,103,70,71,107,117,116,131,156,179,200,198,189,181,160,96,86,75,76,80,107,130,172,188,186,185,171,138,134,154,159,154,153,106,64,85,118,126,132,142,158,167,199,197,194,186,146,87,77,74,79,103,120,114,160,184,189,189,184,149,130,171,177,160,146,109,43,96,124,131,140,150,154,151,196,196,193,181,142,85,65,74,98,135,139,126,149,192,190,192,179,170,135,142,174,161,131,115,81,116,124,137,154,156,146,133,194,195,194,181,135,95,68,78,60,84,145,128,131,187,191,193,187,177,159,133,130,158,122,110,110,123,142,153,151,138,126,118,189,190,190,177,135,102,75,87,52,56,116,128,124,188,193,191,191,181,169,144,129,102,116,118,145,153,153,141,127,118,117,112,185,190,195,180,145,105,82,92,69,59,115,123,134,184,189,193,190,178,161,143,135,124,111,146,161,149,128,117,114,112,111,111,183,190,193,176,143,110,93,80,93,98,119,121,148,179,190,191,188,180,161,144,125,122,117,120,132,128,114,107,110,113,110,102,177,189,187,181,150,118,101,75,89,76,105,128,163,179,189,190,186,175,156,135,119,112,118,120,122,113,109,104,104,107,102,92,170,177,181,185,156,124,106,92,72,85,114,140,163,172,184,186,181,164,147,130,112,108,112,115,114,107,104,103,101,101,99,77,157,157,160,167,164,131,110,100,87,87,110,141,161,171,181,181,172,163,147,127,114,110,111,110,108,106,103,99,101,97,89,70,151,151,147,147,147,138,121,111,97,91,113,140,162,172,174,172,166,155,136,123,114,109,110,108,105,103,105,98,98,90,71,67,145,151,140,139,136,133,127,120,109,106,112,136,153,163,160,161,155,140,126,120,115,109,111,109,107,108,104,96,86,75,80,77