
const long int background[]= {4408,4408,4416,4416,4416,4408,4408,4152,4152,4408,4416,4416,4416,4408,4152,4152,4416,4416,4416,4416,4416,4416,4416,4416,4408,4152,4152,4152,4152,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4408,4408,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4672,4416,4408,4152,4416,4416,4416,4416,4416,4416,4416,4416,4408,4152,4152,4152,4408,4416,4416,4416,4672,4672,4672,4416,4416,4416,4416,4672,4416,4416,4416,4416,4416,4416,4672,4672,4672,4416,4152,4152,4416,4416,4416,4416,4672,4416,4416,4672,4680,4680,4416,4416,4416,12608,4416,4160,4152,3896,4152,12352,12608,12608,4416,4416,4408,4416,4416,4416,4672,4672,4408,4408,4416,4672,4672,4416,4408,4408,4152,4152,4152,4408,4416,4416,4416,4416,4408,4416,4416,4416,4416,4416,4408,4408,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4152,4152,4408,4416,4416,4416,4416,4416,4416,4408,4408,4408,4416,4416,4416,4416,4416,4408,4408,4416,4416,4416,4416,4416,4408,4152,4408,4416,4408,4416,4416,4152,4152,4416,4416,4416,
4152,4408,4416,4416,4416,4408,4152,4152,4152,4416,4416,4416,4152,4152,4152,4416,4416,4416,4408,4152,4152,4408,4416,4416,4152,4152,4152,4152,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4408,4416,4672,4416,4408,4152,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4672,4672,4416,4408,4672,4672,4672,4672,4416,4416,4416,4408,4408,4408,4408,4408,4408,4408,4408,4416,4672,4416,4408,4408,4408,4416,4416,4416,4160,4160,4160,4160,4160,4416,12608,12616,12608,4160,4152,4160,12352,12616,12616,12352,12352,12352,20544,20544,20544,20544,12352,3896,20808,12616,12352,4160,3896,3896,12352,12616,12608,12608,12608,4416,4416,4416,4416,4416,4416,4416,4408,4408,4416,4416,4416,4416,4152,4152,4152,4152,4152,4152,4408,4416,4416,4416,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4152,4408,4416,4408,4416,4416,4416,4408,4152,4152,4152,4408,4416,4416,4416,4416,4416,4408,4408,4416,4416,4416,4408,4152,4152,4152,4408,4416,4416,4408,4152,4408,4416,4416,4416
4408,4408,4416,4416,4416,4408,4152,4152,4152,4416,4416,4416,4152,4152,4152,4416,4416,4416,4408,4152,4152,4152,4416,4416,4152,4152,4152,4408,4416,4416,4416,4416,4408,4408,4416,4416,4416,4408,4152,4152,4408,4416,12864,4672,4152,4144,4144,4152,4152,4152,4416,4416,4416,4672,4416,4416,4672,4416,4416,4416,4672,4672,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4672,4672,4408,4408,4408,4416,4416,4416,4416,4416,4160,4160,4160,4160,4160,12352,20032,28224,28224,28216,28216,28216,28216,28216,28216,27960,19768,19768,27960,28224,28224,27960,35896,36152,36160,36160,36152,27960,19768,19768,28480,20288,20288,12096,12096,12352,12360,20808,12352,12352,12608,12608,4416,4416,4416,4416,4416,4408,4408,4408,4416,4416,4416,4416,4152,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4152,4416,4416,4416,4408,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4152,4152,4152,4408,4416,4416,4152,4152,4416,4416,4416,4408
4416,4416,4416,4416,4416,4408,4152,4152,4408,4416,4416,4416,4152,4152,4152,4416,4416,4416,4416,4408,4408,4408,4416,4416,4144,4152,4408,4416,4416,4416,4416,4416,4408,4416,4416,4416,4416,4408,4152,4152,4408,4416,12864,4416,4152,4144,3888,4152,4152,4152,4416,4416,4416,4672,4416,4416,4672,4416,4416,4416,4416,4672,4672,4416,4416,4416,4416,4416,4416,4416,4416,4416,4672,4672,4672,4416,4416,4152,4160,12352,20544,20288,20288,20032,28224,28216,28224,44352,51768,59960,59960,65535,65535,65535,65535,65535,59696,59696,59696,59696,59696,65535,65535,65535,65535,65535,65535,59960,59960,52024,43832,44088,35896,27960,27960,20032,20288,20288,20552,20552,20544,20544,12608,12608,12608,4416,4416,4416,4416,4408,4408,4408,4416,4416,4416,4416,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4408,4152,4408,4416,4416,4416,4408,4416,4416,4416,4416,4408,4152,4152,4408,4416,4416,4416,4416,4416,4416,4408,4152,4408,4416,4416,4408,4152,4152,4416,12864,4416,4408
4416,4416,4416,4416,4416,4416,4408,4408,4416,4416,4416,4408,4152,4152,4152,4416,4416,4416,4416,4416,4416,4416,4408,4408,4152,4152,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4416,4672,4416,4152,4152,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4672,4416,4408,4408,4416,4416,4672,4672,4408,4408,4408,4408,4416,4416,4416,4672,4672,4672,4416,4160,4152,12088,20280,28224,28216,36152,35896,43832,43832,43576,51768,59960,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,59960,43576,43832,35640,35896,27968,27968,28224,28224,20544,20544,20544,20800,12608,12608,12608,4416,4416,4416,4416,4416,4416,4416,4416,4408,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4416,4152,4152,4152,4416,4416,4416,4416,4416,4416,4416,4408,4408,4416,4416,4416,4152,4152,4408,4416,4416,4416,4416
4416,4416,4408,4408,4408,4408,4408,4416,4416,4416,4416,4408,4152,4152,4152,4408,4416,4416,4416,4416,4416,4408,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4152,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4672,4416,4408,4408,4408,4416,4672,4672,4416,4416,4416,4416,4416,4416,4416,4416,4416,12352,12352,12096,20024,19768,27704,44088,43832,51768,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,59968,51776,52032,52032,44088,20024,12088,12344,12352,12608,12608,12608,4416,4416,4416,4416,4416,4416,4416,4416,4152,4152,4152,4152,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4416,4416,4416,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4408,4152,4152,4408,4416,4416,4416,4408,4416,4416,4416,4408,4408,4416,4416,4416,4152,4152,4416,4416,4416,4416,4416
4416,4408,4152,4152,4152,4152,4416,4416,4416,4416,4152,4408,4416,4416,4152,4152,4152,4408,4416,4416,4416,4152,4152,4144,4152,4408,4416,4416,4408,4408,4416,4672,4416,4408,4408,4408,4408,4416,4416,4416,4672,4416,4408,4408,4408,4408,4152,4152,4416,4408,4672,4672,4672,4416,4408,4408,4672,4408,4152,4152,4408,4416,4416,4672,4672,4672,4416,4416,4416,12608,12608,20544,28480,36416,36416,36152,35896,35632,43568,59952,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,59960,27440,19760,19768,28216,28480,28480,28736,20544,20808,12608,12608,4416,4672,4416,4408,4408,4408,4408,4416,4416,4416,4672,4416,4416,4416,4416,4672,4416,4416,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4416,4416,4416,4152,4152,4408,4416,4416,4416,4416,4408,4408,4416,4416,4408,4152,4408,4416,4416,4416,4408,4152,4408,4408,4408,4408,4408,4416,4416,4416,4152,4152,4416,4416,4416,4416,4416
4416,4408,4152,4152,4152,4152,4408,4416,4416,4416,4416,4416,4408,4408,4416,4416,4416,4416,4416,4416,4152,4152,4152,4152,4416,4416,4416,4416,4408,4408,4408,4416,4416,4416,4408,4408,4408,4416,4416,4416,4416,4416,12872,4416,4152,4152,4408,4672,4664,4672,4672,4672,4664,4408,4408,4408,4408,4416,4416,4408,4408,4408,4672,4672,4680,4672,4416,12616,20552,20288,20024,27704,52280,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,59960,51760,43568,43568,44088,44352,36160,36680,28744,20808,12616,4672,4672,4672,4408,4416,4416,4416,4680,4680,4672,4416,4416,4408,4408,4672,4672,4672,4408,4408,4152,4416,4416,4416,4416,4416,4672,4672,4680,4152,4408,4408,4416,4416,4416,4408,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4408,4152,4144,4152,4152,4416,4416,4416,4408,4416,4408,4152,4152,4416,4416,4416,4416
4416,4408,4152,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4152,4152,4152,4408,4416,4416,4672,4416,4416,4408,4416,4416,4416,4416,4408,4408,4408,4416,4416,4672,4416,4416,4416,4416,4152,4152,4408,4672,4664,4664,4664,4664,4664,4400,4400,4408,4664,4416,4408,4408,4152,4408,4672,4672,4672,4416,4416,20544,28480,36416,35896,43824,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,59960,51768,43832,44352,36672,28744,20808,4680,4680,4672,4416,4416,4416,4416,4672,4672,4672,4672,4416,4408,4408,4672,4672,4672,4408,4408,4152,4416,4416,4416,4416,4416,4672,4672,4672,4408,4408,4408,4416,4416,4416,4408,4152,4144,4152,4408,4416,4416,4672,4416,4416,4408,4416,4416,4416,4416,4416,4416,4416,4152,4152,4152,4408,4416,4416,4416,4416,4416,4416,4408,4416,4416,4416,4416,4416
4416,4416,4408,4408,4408,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4408,4408,4416,4416,4416,4416,4672,4672,4416,4416,4416,4416,4672,4672,4416,4408,4408,4408,4416,4416,4672,4416,4416,4416,4416,4152,4152,4408,4672,4664,4672,4664,4664,4408,4408,4408,4408,4672,4672,4408,4152,4152,4152,4416,12616,12616,12352,20288,28224,36152,35896,43824,51504,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,59952,43568,43832,35896,36416,28744,20808,12616,4424,4416,4416,4416,4416,4416,4416,4416,4672,4416,4408,4408,4416,4416,4416,4408,4408,4408,4408,4416,4416,4416,4672,4416,4416,4416,4408,4408,4416,4416,4672,4416,4408,4408,4144,4152,4408,4416,4416,4672,4672,4672,4408,4408,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408
4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4416,4416,4416,4416,4408,4416,4408,4152,4152,4408,4416,4416,4416,4416,4416,4416,4416,4408,4408,4416,4416,4672,4416,4408,4408,4408,4416,4416,4672,4416,4672,4672,4416,4416,4408,4408,4416,4672,4672,4672,4664,4408,4408,12600,12608,4672,4672,4416,4416,4152,12344,12352,20544,28736,28480,27960,35896,43824,52016,59960,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,65535,51760,43824,35896,27960,28224,28480,28744,20808,4416,4672,4672,4416,4416,4416,4416,4416,4408,4408,4416,4416,4416,4408,4408,4408,4408,4408,4416,4672,4672,4416,4408,4408,4408,4416,4416,4416,4672,4416,4416,4408,4152,4408,4408,4416,4416,4416,4416,4416,4152,4408,4408,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4416,4408,4408,4416,4416,4416,4416,4416,4408,4152
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