const uint32_t n_cycles = 10270;
uint32_t cycles[n_cycles] = {22,67,108,109,130,148,199,226,247,252,254,255,263,291,292,311,330,332,358,373,393,412,472,489,538,548,551,610,620,640,665,671,672,685,695,720,721,735,736,768,804,805,829,836,857,920,959,960,1036,1046,1159,1167,1198,1212,1272,1365,1368,1380,1420,1493,1532,1534,1568,1636,1717,1740,1778,1800,1808,1816,1817,1821,1823,1847,1865,1890,1903,1905,1912,1928,1956,1957,1976,2062,2068,2132,2137,2144,2177,2187,2189,2222,2224,2266,2288,2301,2303,2314,2374,2466,2481,2483,2490,2497,2500,2507,2552,2557,2558,2588,2589,2658,2669,2836,2839,2893,2898,2901,2913,2914,2928,2966,2969,2990,2991,3081,3160,3207,3220,3223,3226,3237,3238,3241,3242,3260,3272,3284,3320,3321,3383,3396,3404,3442,3455,3459,3496,3518,3519,3527,3568,3594,3658,3663,3671,3673,3685,3690,3692,3693,3808,3811,3897,3918,3973,4018,4040,4073,4082,4092,4122,4149,4264,4332,4384,4392,4458,4505,4513,4533,4554,4564,4567,4586,4600,4604,4624,4654,4682,4789,4804,4805,4872,4880,4914,4925,4931,4940,4965,4977,4985,5024,5058,5082,5139,5140,5143,5148,5156,5157,5159,5161,5209,5221,5222,5240,5252,5254,5269,5297,5311,5312,5328,5343,5348,5368,5389,5392,5404,5408,5469,5479,5530,5537,5549,5560,5561,5569,5570,5605,5625,5657,5676,5747,5783,5786,5868,5869,5873,5920,5950,5978,5992,5997,5998,6028,6044,6106,6113,6130,6142,6143,6154,6165,6171,6191,6193,6199,6209,6230,6243,6244,6254,6261,6267,6278,6294,6360,6374,6375,6388,6408,6455,6487,6513,6533,6540,6620,6678,6701,6719,6734,6848,6905,6947,6948,7047,7051,7062,7135,7158,7171,7177,7208,7295,7347,7462,7493,7517,7529,7548,7557,7561,7562,7566,7612,7648,7658,7664,7689,7700,7716,7728,7729,7737,7740,7815,7847,7887,7888,7897,7898,7899,7953,7954,8044,8055,8061,8093,8122,8125,8134,8138,8223,8297,8316,8377,8378,8385,8386,8494,8505,8507,8520,8528,8542,8560,8564,8566,8595,8604,8605,8618,8642,8646,8649,8673,8683,8741,8751,8833,8835,8847,8882,8906,8921,8950,8962,8963,8971,8994,9027,9036,9041,9062,9074,9075,9078,9079,9095,9100,9104,9107,9114,9117,9134,9144,9145,9160,9201,9216,9229,9309,9318,9327,9368,9376,9404,9405,9409,9418,9426,9437,9473,9474,9548,9560,9602,9609,9613,9614,9615,9616,9654,9663,9664,9677,9690,9755,9768,9888,9889,9901,9920,9950,9998,10011,10025,10068,10071,10076,10083,10084,10106,10116,10135,10136,10142,10143,10170,10186,10247,10249,10286,10320,10330,10365,10374,10400,10423,10424,10429,10438,10456,10492,10514,10515,10538,10567,10583,10606,10607,10621,10695,10741,10753,10811,10815,10816,10820,10840,10858,10875,10887,10915,10940,10945,10997,10998,11006,11147,11172,11191,11201,11289,11292,11350,11352,11359,11368,11414,11415,11420,11434,11454,11492,11493,11496,11509,11514,11553,11581,11585,11601,11607,11620,11621,11643,11649,11662,11670,11673,11749,11754,11758,11767,11769,11791,11798,11806,11807,11815,11816,11829,11882,11894,11907,11944,11964,11981,11999,12003,12032,12051,12129,12134,12135,12136,12137,12167,12169,12189,12223,12232,12233,12265,12283,12292,12293,12309,12347,12399,12400,12405,12462,12463,12467,12523,12557,12559,12565,12569,12584,12601,12613,12632,12641,12642,12701,12702,12707,12713,12715,12757,12766,12767,12796,12804,12812,12826,12846,12850,12851,12891,12913,12971,12975,13011,13084,13093,13097,13098,13100,13130,13160,13204,13248,13254,13284,13355,13356,13374,13393,13412,13413,13421,13429,13452,13464,13495,13497,13529,13540,13619,13632,13634,13647,13653,13654,13656,13688,13691,13715,13766,13793,13794,13843,13879,13880,13888,13889,13901,13954,13958,13959,14004,14005,14021,14024,14077,14078,14194,14195,14217,14219,14234,14239,14240,14251,14285,14312,14313,14316,14317,14323,14333,14334,14351,14361,14372,14376,14380,14381,14415,14416,14423,14424,14427,14454,14455,14458,14511,14521,14531,14554,14560,14577,14707,14708,14783,14788,14822,14823,14900,14901,14945,14952,14968,15019,15058,15085,15115,15116,15152,15169,15185,15197,15201,15227,15245,15317,15328,15389,15392,15401,15464,15470,15489,15505,15527,15528,15537,15540,15565,15649,15685,15709,15714,15739,15759,15806,15851,15892,15893,15914,15932,15983,16010,16031,16036,16038,16039,16047,16075,16076,16095,16114,16116,16142,16157,16177,16196,16256,16273,16322,16332,16335,16394,16404,16424,16449,16455,16456,16469,16479,16504,16505,16519,16520,16552,16588,16589,16613,16620,16641,16704,16743,16744,16820,16830,16943,16951,16982,16996,17056,17149,17152,17164,17204,17277,17316,17318,17352,17420,17501,17524,17562,17584,17592,17600,17601,17605,17607,17631,17649,17674,17687,17689,17696,17712,17740,17741,17760,17846,17852,17916,17921,17928,17961,17971,17973,18006,18008,18050,18072,18085,18087,18098,18158,18250,18265,18267,18274,18281,18284,18291,18336,18341,18342,18372,18373,18442,18453,18620,18623,18677,18682,18685,18697,18698,18712,18750,18753,18774,18775,18865,18944,18991,19004,19007,19010,19021,19022,19025,19026,19044,19056,19068,19104,19105,19167,19180,19188,19226,19239,19243,19280,19302,19303,19311,19352,19378,19442,19447,19455,19457,19469,19474,19476,19477,19592,19595,19681,19702,19757,19802,19824,19857,19866,19876,19906,19933,20048,20116,20168,20176,20242,20289,20297,20317,20338,20348,20351,20370,2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