360,3,3,3,3,3,3,3,3,3,557,557,557,557,558,557,557,557,557,557,557,3,3,3,3,3,213,217,3,3,3,3,3,3,3,403,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,885,823,886,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,405,3,3,3,3,3,3,3,3,3,3,3,403,404,405,3,3,3,3,3,3,3,3,3,3,558,557,558,557,558,3,3,403,404,405,3,3,3,50,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
360,3,3,3,3,3,3,3,3,3,570,570,570,570,570,570,570,570,570,570,571,3,3,3,3,3,213,217,3,558,559,558,557,558,3,403,404,405,3,3,3,645,645,645,645,645,645,645,3,3,3,403,404,405,3,3,558,557,558,557,558,3,3,3,3,558,557,558,557,558,3,3,3,3,558,557,558,557,558,3,3,3,3,558,560,558,557,558,3,3,3,3,558,558,557,558,557,559,558,3,3,403,404,405,3,3,3,49,3,3,3,3,3,3,3,403,404,405,3,3,3,3,3,3,3,3,3,3,558,558,557,558,557,3,3,403,404,405,3,3,557,557,557,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
360,3,3,3,3,3,3,3,3,3,587,684,635,635,636,635,635,682,635,586,635,3,3,3,3,3,213,217,3,557,558,557,558,557,3,403,404,405,3,3,627,645,645,645,645,645,645,645,628,3,3,403,404,405,3,3,557,558,557,558,557,3,3,3,3,557,558,557,558,557,3,3,3,3,557,558,557,558,557,3,3,3,3,557,558,557,558,557,3,3,3,3,557,557,558,557,558,557,557,3,3,403,404,405,3,3,3,3,3,3,3,3,3,3,3,403,404,405,3,3,3,3,3,3,3,3,3,3,557,558,558,557,558,3,3,403,404,405,3,3,557,557,557,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
360,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,570,570,570,571,570,3,403,404,405,3,3,627,645,645,645,645,645,646,645,628,3,3,403,404,405,3,3,570,570,570,571,570,3,3,3,3,570,570,570,571,570,3,3,3,3,570,570,570,571,570,3,3,3,3,570,570,570,571,570,3,3,3,3,570,570,570,570,571,570,570,3,3,403,404,405,3,3,3,3,3,3,3,3,3,3,3,403,404,405,3,3,3,559,557,557,3,3,3,3,570,571,571,570,571,3,3,403,404,405,501,3,557,557,557,3,3,3,213,217,3,3,3,3,3,3,458,459,460,3,3,3,3,3,3,3,3,3,3,
406,343,343,343,343,343,343,343,343,343,344,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,635,635,635,684,635,3,403,404,405,3,3,691,598,584,597,616,598,600,598,692,3,3,403,404,405,3,3,682,635,635,587,635,3,3,3,3,587,635,635,683,635,3,3,3,3,636,635,635,587,635,3,3,3,3,635,635,587,586,635,3,3,3,3,684,635,635,682,635,587,635,3,3,403,404,405,3,3,3,3,3,3,3,3,3,3,3,403,404,405,3,3,3,557,557,557,3,3,3,3,635,682,635,587,635,3,3,403,404,405,3,3,570,570,570,3,3,3,213,217,3,3,3,3,3,3,474,475,476,3,3,3,3,3,3,3,3,3,3,
390,375,375,375,375,375,375,375,375,375,376,3,442,442,442,442,442,442,442,3,3,3,3,3,3,3,213,217,3,3,3,3,3,3,3,403,404,405,3,3,639,629,630,629,632,629,630,630,640,3,3,403,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,405,3,3,3,3,3,3,3,458,459,460,3,403,404,405,3,3,3,557,557,557,3,3,3,3,3,3,3,3,3,3,3,403,404,405,3,3,635,684,635,3,3,3,213,217,3,3,3,3,3,3,490,491,492,3,3,3,3,3,3,3,3,3,3,
360,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,3,3,3,3,3,3,403,404,405,3,3,570,571,570,571,570,570,571,570,571,3,3,403,404,405,3,3,3,3,3,484,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,485,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,484,3,3,3,403,404,405,3,3,3,3,3,3,3,474,475,476,3,403,404,405,3,3,3,557,557,557,3,3,3,3,3,3,3,485,3,3,3,403,404,405,3,3,3,3,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
360,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,3,3,3,3,3,3,403,404,405,3,3,682,635,587,635,587,635,587,635,684,3,3,403,404,438,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,439,404,405,3,3,3,3,3,3,3,490,491,492,3,403,404,405,3,3,3,557,557,557,3,458,459,460,3,3,3,3,3,3,3,403,404,405,3,3,3,3,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
360,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,558,557,558,557,558,3,403,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,3,3,3,3,12,3,3,3,3,403,404,405,3,3,3,570,570,570,3,474,475,476,3,3,3,3,3,3,3,403,404,405,3,3,557,557,557,3,3,3,213,217,3,3,3,3,3,3,118,3,3,3,3,352,353,354,3,3,3,3,3,
376,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,557,558,557,558,557,3,403,404,405,3,3,3,387,388,388,388,388,388,389,3,3,3,403,404,422,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,423,404,405,3,3,3,3,3,3,3,3,3,869,870,403,404,405,3,3,3,635,586,587,3,490,491,492,3,3,3,3,3,3,3,403,404,405,3,3,557,557,557,3,3,3,213,217,3,3,3,3,3,3,134,135,118,3,3,368,369,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,570,570,570,571,570,3,403,404,405,3,3,3,403,404,404,404,404,404,405,3,3,3,403,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,405,3,3,3,3,3,3,3,3,3,885,886,403,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,405,3,3,557,557,557,3,3,3,213,217,3,3,3,3,3,149,150,151,134,118,383,384,385,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,635,586,635,635,635,3,403,404,438,388,388,388,439,404,404,404,404,404,438,388,388,388,439,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,47,3,403,404,438,388,388,388,388,388,388,388,388,388,388,388,439,404,438,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,439,404,405,3,3,570,570,570,3,3,3,213,217,3,3,3,3,3,165,166,167,150,134,3,400,401,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,3,3,3,3,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,501,3,635,682,635,3,3,3,213,217,3,3,3,3,3,3,3,3,166,150,3,3,3,458,459,460,3,3,3,
3,3,3,3,3,3,3,3,3,120,121,135,135,135,135,135,3,3,3,3,3,3,3,3,3,10,213,217,3,3,3,3,3,3,3,419,420,420,420,420,420,423,404,404,404,404,404,422,420,420,420,420,420,421,3,3,3,3,3,869,870,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,419,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,421,3,3,3,3,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,166,3,3,3,474,475,476,3,3,3,
3,3,3,3,120,121,135,135,135,136,137,151,151,151,151,151,134,118,3,3,3,3,3,3,3,3,216,217,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,405,3,3,3,3,3,3,3,3,3,3,3,885,886,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,415,416,417,418,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,458,459,460,3,3,3,3,3,3,3,358,360,3,3,458,459,460,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,3,395,396,397,398,3,3,3,3,3,3,3,490,491,492,3,3,3,
3,3,134,135,136,137,151,151,151,152,153,167,167,167,167,167,150,134,3,3,3,3,3,3,3,3,232,230,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,431,432,433,434,458,459,460,3,3,3,3,3,3,3,3,3,3,3,3,3,3,474,475,476,3,3,3,3,3,3,3,358,360,3,3,474,475,476,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,216,217,3,3,411,412,413,414,3,3,3,3,118,3,3,3,3,3,3,3,3,
3,149,150,151,152,153,167,167,167,168,169,3,3,3,3,3,166,150,3,3,3,3,3,3,3,3,316,316,3,3,3,3,3,3,3,3,3,3,3,3,3,439,404,404,404,404,404,438,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,447,448,449,450,474,475,476,3,3,3,3,3,3,3,3,3,3,3,3,3,3,490,491,492,3,3,3,3,3,3,3,358,360,3,3,490,491,492,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,232,217,3,3,427,428,429,430,3,3,3,3,134,135,135,135,135,135,135,135,135,
3,165,166,167,168,169,3,3,3,3,3,3,3,3,3,3,3,166,213,214,332,332,332,332,332,332,332,332,3,3,3,3,3,3,3,3,3,3,3,3,3,404,404,404,404,404,404,404,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,360,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,200,217,3,3,443,444,445,446,3,3,3,149,150,151,151,151,151,151,151,151,151,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,149,213,217,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,339,404,404,404,404,404,404,404,347,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,216,214,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,360,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,216,217,3,3,3,352,353,354,3,3,3,165,166,167,167,167,167,167,167,167,167,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,165,213,217,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,355,404,404,404,404,404,404,404,363,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,216,201,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,339,3,358,360,3,347,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,213,217,3,3,3,368,369,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,216,201,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,355,3,358,360,3,363,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,213,217,3,3,383,384,385,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,216,201,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,360,3,3,3,3,3,3,3,3,3,3,3,3,645,645,645,645,645,645,3,3,213,217,3,3,3,400,401,3,3,3,3,3,3,3,3,49,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,422,422,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,423,404,404,404,404,404,404,404,422,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,423,423,404,216,201,3,3,3,3,3,3,3,395,396,397,396,397,396,397,396,397,396,397,396,397,398,3,557,557,557,557,557,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,458,459,459,460,358,360,3,3,3,3,3,3,3,3,3,3,557,627,645,645,645,645,645,645,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,422,421,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,404,404,405,3,3,3,3,3,3,3,3,442,3,3,3,3,3,3,419,423,404,216,201,3,3,3,3,3,3,3,411,412,413,412,413,412,413,412,413,412,413,412,413,414,3,557,557,557,557,557,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,342,343,343,343,343,343,343,343,344,474,475,476,492,358,360,3,3,3,3,12,3,3,3,3,3,557,627,645,645,645,645,645,645,3,3,213,217,3,3,3,3,3,3,415,416,417,418,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,404,404,405,442,442,3,3,8,3,3,3,3,3,3,3,3,3,6,7,403,404,216,201,3,3,3,3,3,3,3,427,428,429,428,429,428,429,428,429,428,429,428,429,430,3,557,557,557,557,557,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,61,63,63,63,62,61,63,360,474,475,476,3,358,360,3,3,558,557,558,557,558,3,3,3,557,691,600,598,616,598,584,597,3,3,213,217,3,3,3,3,3,3,431,432,433,434,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,387,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,439,404,404,404,404,404,404,404,438,388,388,388,388,388,388,388,388,388,388,388,388,388,389,442,3,403,404,216,201,3,3,3,3,3,342,344,443,444,445,444,445,444,445,444,445,444,445,444,445,414,3,570,571,570,570,571,3,3,3,3,3,3,3,565,3,3,3,3,3,3,3,358,343,343,343,343,343,343,343,360,474,475,476,460,358,360,3,3,557,558,560,558,557,3,3,3,557,639,630,630,632,630,630,630,3,458,213,217,459,460,3,3,3,3,447,448,449,450,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,3,3,374,376,3,3,342,343,343,343,343,343,343,343,343,344,443,446,3,586,3,587,3,586,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,64,63,61,65,63,63,64,360,474,475,475,476,358,360,500,3,570,570,570,571,570,3,3,3,557,557,557,557,557,557,557,557,3,474,213,217,475,476,3,3,3,3,463,464,465,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,3,3,3,3,3,3,358,343,343,343,343,343,343,343,343,360,442,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,374,375,375,375,375,375,375,375,376,474,475,475,476,358,360,3,3,635,684,635,682,635,3,3,3,570,570,570,570,570,570,570,570,3,490,213,217,491,492,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,352,353,354,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,3,3,3,3,3,3,358,61,61,61,61,61,61,61,61,360,442,3,3,3,3,3,3,3,3,869,870,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,458,459,459,474,475,475,476,358,360,3,3,3,3,3,3,3,3,3,3,635,635,682,635,684,635,587,635,3,317,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,352,353,354,3,3,
3,3,3,3,3,368,369,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,558,558,558,560,3,3,358,343,343,343,343,343,343,343,343,360,442,3,3,3,3,3,3,3,3,885,886,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,352,353,354,474,475,475,475,475,475,476,358,360,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,368,369,3,3,3,
3,3,3,3,383,384,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,557,557,557,558,3,3,358,62,62,62,65,62,62,62,62,360,442,3,3,352,353,354,3,3,3,3,3,3,3,3,342,343,343,343,344,3,3,3,3,10,3,3,368,369,3,558,557,558,557,558,491,492,358,360,3,3,3,3,3,3,3,3,3,3,3,3,3,3,50,342,344,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,383,384,385,3,3,3,
3,3,3,3,3,400,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,557,557,557,557,3,3,358,343,343,343,343,343,343,343,343,360,3,6,7,368,369,3,3,3,3,3,3,3,3,3,358,3,3,3,360,3,3,3,3,3,3,383,384,385,3,557,558,557,558,557,3,342,407,406,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,407,360,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,400,401,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,48,403,404,216,201,3,3,3,570,570,570,570,3,3,358,61,61,61,63,61,64,61,61,360,3,3,383,384,385,3,3,3,3,3,3,3,3,3,358,3,3,3,360,3,3,558,557,558,557,558,400,401,3,570,570,570,571,570,3,358,3,390,375,375,375,375,375,375,375,375,375,375,375,375,391,390,375,391,360,3,49,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,635,635,635,635,3,3,358,343,343,343,343,343,343,343,343,360,3,3,3,400,401,442,3,3,3,3,3,3,3,3,358,3,3,3,360,3,3,557,558,557,558,557,3,3,3,635,586,635,587,635,3,358,3,360,3,3,3,3,3,3,3,352,353,354,3,3,358,360,3,358,360,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,61,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,3,3,3,3,3,3,374,375,375,375,375,375,375,375,375,376,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,3,3,3,360,501,3,570,570,570,571,570,3,3,3,3,3,3,3,3,3,358,3,360,3,3,3,3,3,3,367,368,369,3,3,3,358,406,343,407,360,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,3,3,3,3,3,3,3,66,3,3,3,3,3,3,3,3,396,396,397,3,3,3,3,3,3,3,3,63,3,3,358,3,3,3,360,3,3,635,586,635,636,635,3,3,3,3,3,3,485,3,3,358,3,360,3,3,3,3,3,3,383,384,385,3,3,50,358,3,3,390,376,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,3,3,3,3,3,3,3,3,3,3,395,395,397,397,3,411,411,428,428,414,3,3,3,3,3,3,3,3,170,3,358,3,3,3,360,3,3,3,3,3,3,3,3,3,3,3,3,3,485,3,3,358,3,360,3,3,3,3,3,3,399,400,401,3,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,3,3,3,3,3,3,3,3,3,411,411,428,428,3,411,428,428,428,428,430,3,3,3,3,3,3,3,3,3,3,358,3,3,3,360,3,3,3,3,3,3,3,3,3,3,3,3,3,485,3,3,358,3,360,3,3,3,6,7,3,558,557,558,557,558,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,3,3,3,3,3,3,3,3,411,428,428,428,430,414,443,427,443,428,428,430,3,3,3,3,3,3,342,343,343,343,407,3,3,3,406,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,407,3,360,3,458,459,460,3,3,557,558,557,558,557,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,49,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,3,3,3,3,3,3,3,3,427,428,428,428,430,3,3,48,3,428,445,3,3,3,390,391,3,3,358,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,360,3,474,475,476,3,3,570,570,570,571,570,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,419,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,423,404,404,404,404,404,422,420,420,420,420,420,420,420,420,420,420,420,420,420,420,421,3,3,403,404,216,201,3,3,3,3,3,3,3,3,3,3,3,3,444,3,445,3,3,3,3,3,444,3,3,3,3,406,407,3,3,358,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,360,3,490,491,492,3,3,683,635,635,682,635,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,352,353,354,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,352,353,354,3,3,213,217,404,405,3,3,387,388,388,388,388,388,388,388,388,388,388,388,388,388,388,388,389,403,404,404,404,404,404,405,387,388,388,388,388,388,388,388,388,388,388,388,388,388,389,3,3,403,404,216,201,317,317,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,3,3,3,390,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,376,3,3,3,3,3,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,368,369,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,368,369,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,342,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,407,3,3,3,360,47,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,48,3,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,383,384,385,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,383,384,385,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,358,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,360,3,3,3,3,3,3,3,3,3,3,395,396,397,398,3,395,396,397,398,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,458,459,460,3,3,3,400,401,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,399,400,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,422,421,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,358,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,360,3,3,558,557,558,557,558,3,3,3,411,412,413,414,3,411,412,413,414,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,474,475,476,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,374,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,391,3,3,3,360,3,3,557,558,557,565,566,3,3,3,427,428,429,430,3,427,428,429,430,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,3,3,360,3,458,459,460,213,217,3,490,491,492,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,438,389,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,3,3,3,3,3,3,3,3,3,458,459,460,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,3,3,3,360,501,3,557,558,557,558,557,3,3,3,443,444,395,396,397,398,444,445,446,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,3,3,360,3,474,475,476,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,395,395,428,3,3,3,3,3,3,3,474,475,476,3,3,3,3,3,412,412,3,558,557,558,557,558,3,358,3,3,3,360,3,3,570,570,570,571,570,3,3,6,7,3,411,412,413,414,3,3,3,3,3,3,3,3,3,3,3,317,3,3,3,3,3,3,3,358,3,3,360,3,490,491,492,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,428,428,429,458,459,460,3,3,3,3,490,491,492,3,3,3,3,412,428,428,428,557,558,557,558,557,3,358,3,3,3,360,3,3,635,586,635,635,635,3,3,395,396,397,427,428,429,430,3,3,3,3,3,3,3,3,3,3,317,317,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,411,428,429,474,475,476,3,3,3,415,416,417,418,3,3,3,459,3,3,428,428,570,570,570,571,570,3,358,3,3,3,360,3,3,3,3,3,3,3,3,3,411,412,413,443,444,445,446,342,343,343,343,343,343,343,343,343,343,343,344,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,458,459,460,3,
3,3,3,3,3,3,3,3,352,353,354,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,49,3,403,404,216,201,3,427,428,412,430,474,475,476,3,3,3,431,432,433,434,3,3,474,475,476,3,428,428,635,635,684,635,635,354,358,3,3,3,360,3,3,3,3,3,352,353,354,3,427,428,429,430,3,3,3,358,62,63,63,61,63,63,64,63,63,63,360,3,3,3,352,353,354,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,415,416,417,418,3,3,3,3,3,3,474,475,476,3,
3,3,3,3,3,3,3,3,368,369,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,46,411,412,3,474,475,475,476,3,3,447,448,449,450,3,474,475,475,476,412,428,412,3,3,3,3,3,3,358,3,3,3,360,3,3,3,3,367,368,369,3,3,443,444,445,446,3,3,3,358,343,343,343,343,343,343,343,343,343,343,360,3,3,367,368,369,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,431,432,433,434,3,3,3,3,3,3,490,491,3,3,
3,3,3,3,3,3,3,383,384,385,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,412,412,412,414,3,474,475,476,8,3,463,464,465,3,3,474,475,476,3,428,428,412,412,3,3,3,3,3,358,3,3,3,360,3,3,3,3,383,384,385,3,3,3,3,3,3,3,3,3,358,63,63,63,63,61,63,63,61,63,63,360,3,3,383,384,385,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,447,448,449,450,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,399,400,401,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,427,428,428,428,430,3,490,491,474,476,3,3,3,459,3,3,3,491,3,3,428,428,412,412,3,399,3,3,3,358,3,3,3,360,3,3,3,3,399,400,401,3,3,3,3,3,3,3,3,3,358,343,343,343,343,343,343,343,343,343,343,360,3,3,399,400,401,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,463,464,465,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,48,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,427,428,428,446,446,3,3,3,3,3,3,3,474,475,476,3,3,3,412,428,428,428,412,3,3,3,3,3,3,358,3,3,3,360,3,387,388,388,388,388,388,389,3,558,557,558,557,558,3,3,358,63,61,63,64,63,63,62,63,63,63,360,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,10,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,444,444,446,3,3,3,3,3,3,3,3,3,491,3,3,412,412,428,428,412,412,412,3,3,3,3,3,3,358,3,3,3,360,3,403,404,404,404,404,404,405,3,557,558,557,558,557,3,3,358,343,343,343,343,343,343,343,343,343,343,360,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,403,404,404,404,404,404,404,404,404,404,404,404,404,404,404,404,405,403,404,404,404,404,404,405,403,404,404,404,404,404,404,404,404,404,404,404,404,404,405,3,3,403,404,216,201,3,3,3,3,3,446,446,3,396,3,3,3,3,3,3,412,412,412,412,412,412,3,458,459,459,3,3,3,3,358,3,3,3,360,3,403,404,404,404,404,404,405,3,570,570,570,571,570,3,3,358,64,63,63,63,63,61,63,65,63,61,360,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,458,459,460,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,404,405,3,3,419,420,420,420,420,420,420,420,420,420,420,420,420,420,420,420,421,403,404,404,404,404,404,405,419,420,420,420,420,420,420,420,420,420,420,420,420,420,421,3,50,403,404,216,201,3,558,557,558,557,558,412,412,396,3,397,397,3,3,3,427,427,428,428,428,3,3,474,475,475,476,459,3,3,358,3,3,3,360,3,403,404,404,404,404,404,405,3,635,636,635,635,683,3,3,358,343,343,343,343,343,343,343,343,343,343,360,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,474,475,476,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,485,3,3,216,233,404,405,3,3,3,3,3,3,3,3,49,3,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,405,3,3,3,3,3,3,3,3,3,3,48,3,3,3,3,3,3,403,404,216,201,3,557,558,557,559,557,428,428,412,428,428,412,3,3,3,444,444,3,428,428,3,3,474,476,474,475,475,476,3,358,3,3,3,360,3,403,404,404,404,404,404,405,3,3,3,3,3,3,3,3,374,375,375,375,375,375,375,375,375,375,375,376,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,490,491,492,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,484,485,3,3,232,230,404,438,389,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,387,403,404,232,201,3,570,570,570,571,570,428,428,428,428,428,428,428,428,3,3,3,428,412,414,3,3,442,442,442,491,491,3,3,358,3,3,3,360,3,403,404,404,404,404,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,49,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,484,485,3,3,199,316,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,439,404,404,404,404,404,438,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,316,249,3,635,636,635,635,635,428,412,444,444,3,428,428,428,412,3,412,412,412,3,48,3,3,3,3,3,66,3,3,358,3,3,3,360,3,419,420,420,420,420,420,421,3,3,3,3,342,343,343,343,343,343,343,343,343,343,343,344,3,3,3,3,3,3,3,3,3,3,3,358,3,3,360,3,458,459,460,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,484,485,3,3,332,332,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,404,404,404,404,404,404,404,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,332,3,3,3,3,3,427,428,428,3,3,3,427,412,412,428,428,428,412,414,3,3,3,3,3,430,458,459,459,3,3,358,3,3,3,360,3,3,3,3,3,3,3,3,3,3,3,3,358,63,61,63,63,63,63,61,63,63,64,360,3,3,3,458,459,460,3,6,7,3,3,358,3,3,360,3,474,475,476,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,484,485,213,217,3,347,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,3,404,404,404,404,404,404,404,3,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,339,3,8,3,3,427,3,444,3,3,3,3,3,427,412,428,428,428,414,446,3,412,396,396,412,430,474,475,475,476,3,358,3,3,3,360,3,3,3,3,3,3,3,3,3,3,3,3,358,343,343,343,343,343,343,343,343,343,343,360,3,3,3,474,475,476,3,3,3,3,3,358,3,3,360,3,490,491,492,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,62,3,3,3,3,3,3,3,120,135,135,135,3,484,485,213,217,364,363,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,3,403,404,404,404,404,404,405,3,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,355,3,3,3,3,3,3,3,3,352,353,354,3,427,412,428,428,412,3,3,412,428,428,428,412,3,474,476,491,476,3,358,3,3,3,360,3,3,3,3,47,3,3,3,3,3,3,3,358,63,64,63,63,61,63,63,63,62,63,360,3,3,3,490,491,492,3,3,458,459,460,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
135,135,135,118,3,3,3,65,120,136,151,151,151,3,484,485,213,217,3,3,459,459,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,7,3,3,368,369,3,427,428,445,428,428,3,412,412,428,428,428,412,3,3,3,458,459,3,3,358,3,3,3,360,3,3,3,3,3,3,442,3,3,3,3,3,358,343,343,343,343,343,343,343,343,343,343,360,3,3,3,3,3,3,3,3,474,475,476,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
151,151,151,134,135,135,38,135,136,152,167,167,167,154,484,485,213,217,3,3,474,475,476,460,3,3,3,3,3,3,3,3,3,3,3,3,442,442,442,3,3,403,404,404,404,404,404,405,442,474,475,475,476,442,317,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,383,384,385,3,443,445,412,428,428,428,412,412,428,412,430,3,3,458,459,474,475,476,3,358,3,3,3,360,3,3,3,3,3,3,442,3,3,3,3,3,358,63,63,63,64,63,63,61,63,63,63,360,3,3,3,3,3,3,3,3,490,491,492,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
167,167,167,150,151,151,54,151,152,168,3,3,3,3,484,485,213,217,3,3,474,475,475,476,3,3,3,3,3,3,3,3,3,3,3,3,442,442,459,459,459,403,404,404,404,404,404,405,442,490,491,491,492,442,3,3,3,3,3,3,3,317,3,3,3,3,3,3,3,3,3,3,3,3,3,558,557,558,557,557,558,411,428,428,428,446,446,412,3,3,3,459,474,475,476,491,476,3,358,3,3,3,360,3,3,558,557,558,557,558,3,3,3,3,3,358,343,343,343,343,343,343,343,343,343,343,360,3,3,3,3,3,3,3,3,3,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,166,167,167,70,167,168,3,3,3,3,3,3,485,213,217,3,3,490,491,491,492,3,3,3,3,3,3,3,3,3,3,3,3,3,442,474,475,476,403,404,404,404,404,404,405,442,442,415,416,417,418,442,3,3,3,3,3,317,442,3,3,3,397,397,3,3,3,3,396,396,3,3,557,558,557,557,574,570,428,428,445,445,3,446,3,3,458,474,475,491,491,3,3,3,3,358,3,3,3,360,3,3,557,558,557,558,557,3,3,3,3,3,358,65,65,62,63,61,63,63,63,61,63,360,3,3,352,353,558,557,558,557,558,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,395,396,3,3,3,3,3,213,217,458,459,460,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,474,475,491,492,403,404,404,404,404,404,405,3,3,431,432,433,434,442,442,342,343,343,344,3,442,3,427,411,428,428,3,3,411,428,412,3,3,3,558,558,566,558,622,636,445,3,3,3,459,3,3,3,474,475,491,3,3,3,3,3,3,358,3,3,3,360,3,3,570,570,570,571,570,3,3,3,3,3,358,343,343,343,343,343,343,343,343,343,343,360,3,3,368,369,557,558,557,558,557,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,61,3,3,352,353,354,3,411,429,430,3,3,3,3,213,217,474,475,476,3,352,353,354,317,3,3,3,3,3,3,3,3,3,3,3,474,476,442,442,403,404,404,404,404,404,405,442,442,447,448,449,450,459,442,358,3,3,360,3,3,427,428,428,428,430,3,412,428,428,412,397,3,3,557,557,558,557,443,444,3,3,3,474,475,476,3,3,474,475,476,442,3,3,3,3,3,358,3,3,3,360,501,3,635,586,635,635,635,3,3,3,3,3,374,375,375,375,375,375,375,375,375,375,375,376,3,383,384,385,570,570,570,571,570,3,3,358,3,3,360,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,367,368,369,3,3,3,445,446,3,3,3,3,213,217,490,491,492,3,368,369,3,317,3,3,3,3,3,3,3,3,459,3,3,3,442,442,442,403,404,404,404,404,404,405,442,442,463,464,465,474,475,476,358,3,3,360,3,3,428,428,428,428,430,444,412,428,428,428,428,412,430,570,570,570,570,427,3,3,3,3,474,475,476,459,459,442,474,475,476,3,9,3,3,3,358,3,3,3,360,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,400,401,587,635,635,682,635,3,3,358,3,3,360,415,416,417,418,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,383,384,385,3,3,3,3,3,3,3,3,3,213,217,442,3,3,383,384,385,3,3,3,3,3,3,3,3,3,474,475,476,3,3,396,397,442,403,404,404,404,404,404,405,442,442,442,3,442,442,491,442,358,3,3,360,3,428,444,428,445,3,3,427,428,428,444,412,412,3,3,635,587,682,635,3,3,3,3,3,474,475,491,491,491,3,491,491,3,3,3,3,3,3,358,3,3,3,360,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,358,3,3,360,431,432,433,434,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,399,400,401,3,3,3,3,3,3,3,3,3,213,217,442,3,3,399,400,401,3,3,3,3,3,3,3,3,3,3,3,3,3,396,430,414,3,403,404,404,404,404,404,405,442,442,3,442,442,442,442,442,358,3,3,360,3,444,3,3,3,3,3,427,428,445,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,491,3,3,3,3,3,3,3,3,3,3,3,3,358,3,3,3,360,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,485,3,3,48,3,3,3,358,3,3,360,447,448,449,450,213,217,3,3,352,353,354,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,8,3,3,3,3,213,217,63,442,3,3,3,3,3,3,3,3,3,3,3,3,485,485,3,3,396,428,430,3,3,403,404,404,404,404,404,405,342,343,343,343,343,343,343,343,407,3,3,406,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,407,3,3,3,406,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,407,3,3,360,463,464,465,61,213,217,3,367,368,369,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,442,442,3,3,3,3,397,3,3,396,397,3,3,3,485,485,3,3,427,428,430,3,3,403,404,404,404,404,404,405,358,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,360,3,3,3,3,213,217,3,383,384,385,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,442,3,3,3,3,3,397,3,411,412,413,414,397,414,485,3,500,3,500,444,3,397,414,403,404,404,404,404,404,405,358,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,360,3,3,3,3,213,217,3,399,400,401,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,213,217,3,3,3,3,3,395,413,3,411,428,430,428,428,430,3,500,3,500,396,414,500,428,430,403,404,404,404,404,404,405,374,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,375,376,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,395,396,397,398,3,3,48,3,3,3,3,3,3,3,213,217,3,3,3,3,3,427,428,46,427,428,428,429,430,3,442,442,442,443,428,445,428,430,9,403,404,404,404,404,404,405,3,3,442,442,442,442,446,396,396,413,414,397,442,442,442,442,442,442,3,9,3,397,397,414,3,3,3,3,396,395,396,396,414,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,395,396,396,397,397,398,3,3,484,3,3,3,3,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,411,412,413,414,3,3,3,3,352,353,354,3,3,3,213,217,3,6,7,3,3,427,428,428,428,428,429,430,3,3,442,442,3,443,444,446,442,442,3,403,404,404,404,404,404,405,3,442,442,442,442,442,411,411,428,428,413,397,442,442,442,442,442,442,3,3,411,396,414,3,3,3,395,411,411,428,428,430,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,415,416,417,418,3,3,558,558,557,558,3,3,3,3,3,3,3,3,45,3,3,3,3,3,3,411,412,412,413,413,414,3,3,558,557,558,557,558,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,411,412,428,429,430,3,3,3,367,368,369,3,3,3,3,213,217,3,3,3,3,3,427,444,428,428,445,458,459,442,442,442,442,3,446,3,459,459,459,442,403,404,404,404,404,404,405,3,442,3,442,442,442,427,428,428,428,430,442,442,442,442,442,442,442,3,411,428,445,430,3,3,411,411,428,428,428,428,430,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,8,3,3,3,3,3,3,3,3,3,3,431,432,433,434,3,3,557,557,558,557,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,427,428,428,429,429,430,3,3,557,558,557,558,557,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,443,444,412,413,397,398,3,383,384,385,3,3,3,3,213,217,3,3,3,3,3,3,444,445,3,3,474,475,476,442,442,442,3,3,474,475,475,491,3,403,404,404,404,404,404,405,442,442,3,442,442,442,442,427,428,430,446,430,442,442,442,442,442,442,443,442,445,445,446,3,3,427,428,428,428,444,446,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,7,3,3,3,3,3,3,3,3,447,448,449,450,3,3,570,570,570,570,3,3,3,3,3,3,3,3,3,3,3,3,3,3,411,412,412,412,413,413,414,3,3,570,570,570,571,570,3,213,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,395,396,428,412,413,414,3,399,400,401,3,3,3,3,213,214,3,3,3,3,3,3,3,3,3,3,490,491,492,442,3,3,3,3,3,491,491,3,3,403,404,404,404,404,404,405,442,442,442,442,442,442,446,427,442,446,442,3,442,442,442,442,442,442,3,3,445,3,3,3,3,427,444,446,444,3,446,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,463,464,465,3,3,3,635,635,635,635,3,3,3,3,3,3,3,3,3,3,3,3,3,3,427,428,428,428,429,429,430,3,3,635,635,635,682,635,3,216,217,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,411,3,3,3,429,430,3,3,3,3,3,3,3,3,229,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,405,428,428,428,428,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,443,443,444,444,445,445,446,3,3,3,3,3,3,3,3,232,233,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,443,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,316,316,316,316,316,316,316,316,316,316,316,316,316,316,316,316,316,316,316,316,316,316,3,403,404,404,404,404,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,316,316,316,316,316,316,316,249,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,332,403,404,404,404,404,404,405,332,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,332,332,332,332,332,332,332,332,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,61,3,3,3,3,3,3,3,3,3,3,3,3,3,347,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,403,404,404,404,404,404,405,347,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,348,339,348,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,120,121,135,135,38,3,3,3,485,3,363,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,403,404,404,404,404,404,405,363,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,364,355,364,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
121,38,135,135,135,38,135,136,137,151,151,54,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,405,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
137,54,151,151,151,54,151,152,153,167,167,70,71,460,484,458,459,3,3,3,3,3,459,474,475,475,459,459,459,442,459,460,3,3,3,3,3,3,3,3,3,403,404,404,404,404,404,405,3,459,459,459,459,459,459,3,3,3,3,3,3,3,3,3,3,3,3,12,3,3,3,3,474,475,476,3,3,3,3,3,3,3,3,3,3,3,3,3,3,11,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
153,70,167,167,167,70,167,168,169,3,458,474,475,476,11,474,475,476,3,459,460,3,474,475,475,475,475,491,491,474,475,476,460,442,442,458,459,459,460,3,3,403,404,404,404,404,404,405,3,474,475,475,475,475,491,3,458,459,476,3,3,3,3,3,3,442,442,3,3,3,3,3,490,491,492,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
169,3,3,3,3,352,353,354,3,3,474,475,491,492,3,490,491,491,474,475,476,458,459,475,475,475,476,3,3,474,475,475,476,442,459,474,475,475,476,3,3,403,404,404,404,404,404,405,3,474,475,491,491,476,3,3,474,475,476,3,3,3,3,3,352,353,354,442,442,459,459,460,3,3,3,3,3,3,3,3,3,3,3,3,458,459,460,3,3,12,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
458,459,460,3,3,368,369,442,442,442,490,491,3,3,3,397,397,414,442,491,491,475,475,475,475,476,442,3,3,3,474,475,476,474,475,475,475,476,492,3,3,403,404,404,404,404,404,405,3,491,476,442,442,442,3,3,490,491,492,3,3,3,3,3,368,369,442,492,474,475,475,476,460,3,3,459,459,459,459,3,3,3,3,442,474,475,476,3,3,3,3,3,3,3,3,3,3,10,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
474,475,476,3,383,384,385,3,442,442,396,396,396,396,413,428,413,3,442,3,3,474,475,475,476,442,3,442,3,3,490,491,442,474,491,491,491,459,460,3,3,403,404,404,404,404,404,405,3,474,475,476,442,3,3,3,3,3,3,3,3,3,3,383,384,385,3,3,3,474,475,475,476,460,474,475,475,475,475,476,3,3,442,442,490,491,492,442,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
490,491,492,442,399,400,401,442,442,411,428,428,428,428,428,428,428,414,442,442,3,490,474,475,476,460,442,442,442,9,3,442,442,459,460,442,459,475,476,3,3,403,404,404,404,404,404,405,3,3,474,475,459,459,3,3,3,3,3,395,395,396,428,399,400,3,3,3,3,3,475,475,475,476,474,475,476,474,475,475,476,442,442,442,442,442,442,442,442,3,149,3,3,3,12,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,442,442,442,398,395,442,442,428,428,428,428,428,428,428,428,317,500,3,442,3,3,3,474,475,476,442,3,442,3,459,459,474,475,476,474,475,475,476,3,3,403,404,404,404,404,404,405,3,3,3,491,475,475,476,3,3,3,395,395,428,428,428,428,413,3,3,3,3,3,474,475,475,475,476,3,3,3,491,474,475,476,442,442,442,442,442,442,442,442,165,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,442,442,442,442,442,442,442,428,412,444,443,396,412,428,317,446,485,3,442,352,353,354,490,491,492,3,3,442,474,475,475,475,475,476,474,475,475,476,3,3,403,404,404,404,404,404,405,458,459,460,3,491,491,491,3,3,9,3,396,428,430,428,429,395,3,3,3,3,3,474,475,491,491,3,3,3,395,3,474,475,476,460,442,442,442,458,459,460,442,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,442,442,442,442,442,442,445,413,412,442,396,412,428,428,430,317,485,485,442,368,369,3,3,458,459,459,3,442,442,491,491,491,491,492,490,491,491,492,3,3,403,404,404,404,404,404,405,474,475,476,3,3,3,3,3,3,3,411,428,428,428,429,446,446,3,3,3,3,3,490,491,3,3,3,3,412,396,397,3,474,475,476,442,442,442,474,475,476,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,442,459,459,459,460,442,444,413,412,412,412,428,428,428,428,430,442,485,383,384,385,3,3,474,475,476,3,442,442,442,474,476,3,3,3,459,3,3,3,3,403,404,404,404,404,404,405,490,491,492,3,3,3,3,3,427,427,428,428,428,428,428,445,3,3,3,3,458,459,460,3,3,3,3,412,412,412,3,398,490,491,442,458,459,459,474,475,476,3,3,3,6,7,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
458,459,474,475,475,476,3,411,412,412,428,428,428,428,428,430,500,501,3,399,400,401,3,3,474,475,476,3,442,444,442,442,3,3,3,474,475,476,3,3,3,403,404,404,404,404,404,405,3,3,3,3,3,3,3,3,395,443,428,428,428,428,428,395,458,459,460,3,474,475,476,446,3,395,397,412,412,9,442,412,397,442,442,474,475,475,475,476,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
474,475,475,491,475,476,459,460,428,428,428,428,428,428,445,428,430,397,3,3,3,48,3,3,490,491,476,3,442,442,442,442,3,459,474,475,475,476,3,3,3,403,404,404,404,404,404,405,3,3,3,3,3,3,3,3,395,427,412,428,428,445,395,3,474,475,476,3,490,491,492,3,446,411,413,412,412,412,412,446,3,3,3,490,491,491,491,492,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
490,491,491,3,474,475,475,476,460,428,428,428,444,445,442,445,428,396,3,3,442,3,3,3,3,442,442,3,442,442,442,458,474,475,475,475,475,475,476,3,3,403,404,404,404,404,404,405,3,3,3,3,395,3,427,443,413,412,428,428,428,446,3,3,474,475,475,476,3,3,3,3,427,428,430,446,444,444,445,3,446,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,442,3,490,491,475,475,476,428,445,3,3,3,3,429,413,413,396,3,458,459,3,3,3,3,3,3,442,442,442,474,475,476,491,491,491,491,492,3,3,403,404,404,404,404,404,405,500,500,3,500,3,484,3,413,413,412,428,428,412,3,3,3,3,491,475,476,3,3,446,3,444,444,446,3,446,458,459,460,3,3,3,3,3,3,3,3,3,3,3,3,3,10,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
442,442,442,442,442,442,474,475,476,3,3,458,459,459,3,429,413,413,396,3,474,475,476,3,3,3,3,3,442,442,442,490,491,492,484,442,501,501,317,442,3,403,404,404,404,404,404,405,3,3,317,317,485,317,485,442,411,444,412,412,3,3,3,3,3,474,475,476,3,395,397,3,446,3,3,500,3,474,475,476,3,64,3,3,3,458,459,460,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
442,442,442,442,9,442,490,491,492,3,3,474,475,475,476,444,428,446,430,430,490,491,3,3,6,7,395,396,412,430,442,442,352,353,354,442,3,3,3,442,3,403,404,404,404,404,404,405,3,3,501,3,485,317,485,3,427,412,412,412,413,413,3,3,3,490,491,492,395,429,429,430,3,484,500,3,3,490,491,492,484,3,3,3,3,474,475,476,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
442,442,442,442,3,3,3,459,459,3,3,490,491,491,3,3,444,446,443,430,3,396,396,397,429,414,412,412,445,3,3,3,368,369,3,484,3,3,3,3,3,403,404,404,404,404,404,405,9,3,3,3,3,3,3,395,427,412,412,412,413,414,3,3,3,397,395,395,429,430,429,3,3,442,3,3,3,500,3,3,484,3,3,484,3,490,491,492,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
442,442,442,442,3,3,474,475,475,476,3,3,3,3,458,459,460,3,430,428,413,428,428,396,413,412,412,446,3,3,3,383,384,385,3,442,3,3,3,3,3,419,420,420,420,420,420,421,3,3,3,352,353,354,395,411,411,412,412,412,445,3,396,396,413,413,429,352,353,354,446,3,3,484,442,3,3,3,3,3,3,501,501,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,458,459,460,474,475,491,3,3,3,3,458,474,475,476,3,411,430,429,428,428,429,413,445,445,396,397,397,442,399,400,401,3,3,3,3,3,3,3,358,3,3,3,442,3,360,3,3,3,368,369,395,411,411,428,428,428,412,430,428,428,428,428,428,429,368,369,429,396,397,3,484,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,458,459,475,475,476,490,491,415,416,417,418,3,474,475,491,3,396,428,429,429,428,429,396,446,428,428,428,413,413,414,3,442,442,442,3,3,3,3,3,3,358,3,442,3,442,442,360,3,3,383,384,411,444,413,412,428,428,412,412,428,428,428,428,428,429,383,384,429,429,429,397,3,3,3,3,3,3,3,3,3,3,484,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,474,475,475,491,3,3,3,431,432,433,434,3,490,491,492,396,396,428,429,429,429,446,396,396,428,428,428,428,430,3,3,3,66,442,396,397,397,3,3,3,358,442,3,442,3,442,360,3,399,399,400,411,444,444,444,444,444,412,412,428,428,428,428,430,429,399,400,429,429,429,445,3,484,3,3,3,3,3,3,3,484,484,3,3,3,474,476,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,490,491,475,476,3,474,476,447,448,449,450,442,459,474,476,3,396,428,428,428,428,427,428,428,428,428,428,428,445,6,7,3,396,342,343,343,343,343,343,343,407,442,442,442,442,3,406,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,343,344,445,3,484,3,3,3,3,3,3,3,3,3,484,3,3,474,475,476,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,442,474,476,463,464,465,466,474,475,475,476,411,428,428,428,428,428,428,428,428,428,428,428,445,3,3,3,3,428,358,442,442,442,442,442,442,442,442,442,442,442,442,442,442,442,442,442,3,3,3,3,3,442,442,442,442,442,442,442,442,442,442,3,3,360,500,500,3,3,3,3,6,7,459,459,460,3,3,459,459,459,474,476,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,458,459,459,459,475,475,476,3,411,428,428,413,428,428,428,428,428,428,428,64,442,446,3,3,396,428,358,442,442,442,442,442,442,442,442,442,442,442,442,442,442,442,442,3,3,3,3,3,3,442,442,442,442,442,442,442,442,397,442,3,3,360,3,3,3,352,353,354,3,474,475,475,476,3,3,474,475,475,491,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,85,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,101,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,2,2,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,2,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,2,2,2,0,0,0,0,0,0,0,0,2,2,2,0,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,0,2,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,2,2,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,0,0,0,2,2,2,2,2,0,0,2,0,0,0,0,2,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,2,2,2,2,2,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,0,2,2,2,2,2,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,2,0,0,0,2,2,0,0,2,2,2,2,2,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2