题目：给定一个不是3倍数的数，做下面迭代。——注意——这里是“3倍数的数”——导致"数码和"得分"奇,偶"。
i)如果它是偶数，替换为数字和平方
ii)如果它是奇数，替换为数字和六次方
猜想——一步步计算下去,肯定能在12步内变为1。无需13步。
变为1需要1步—— {1, {10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000,
变为1需要2步—— {2, {19, 28, 37, 46, 55, 64, 73, 82, 91, 109, 118, 127, 136, 145, 154, 163, 172, 181, 190, 208, 217, 226, 235, 244, 253, 262, 271, 280, 307, 316, 325, 334, 343, 352, 361, 370, 406, 415, 424, 433, 442, 451, 460, 505, 514, 523,
变为1需要3步—— {3, {8, 11, 26, 44, 62, 80, 101, 116, 134, 152, 170, 206, 224, 242, 260, 298, 299, 314, 332, 350, 388, 389, 404, 422, 440, 478, 479, 496, 497, 512, 530, 568, 569, 586, 587, 602, 620, 658, 659, 676, 677, 694, 695, 710, 748,
变为1需要4步—— {4, {13, 17, 31, 35, 53, 71, 103, 107, 121, 125, 143, 161, 211, 215, 233, 251, 301, 305, 323, 341, 413, 431, 503, 521, 611, 701, 899, 989, 998, 1003, 1007, 1021, 1025, 1043, 1061, 1111, 1115, 1133, 1151, 1201, 1205, 1223,
变为1需要5步—— {5, {38, 56, 74, 92, 128, 146, 164, 182, 218, 236, 254, 272, 290, 308, 326, 344, 362, 380, 416, 434, 452, 470, 506, 524, 542, 560, 614, 632, 650, 704, 722, 740, 812, 830, 902, 920, 1028, 1046, 1064, 1082, 1118, 1136, 1154,
变为1需要6步—— {6, {599, 689, 779, 797, 869, 887, 959, 977, 995, 1499, 1589, 1679, 1697, 1769, 1787, 1859, 1877, 1895, 1949, 1967, 1985, 2399, 2489, 2579, 2597, 2669, 2687, 2759, 2777, 2795, 2849, 2867, 2885, 2939, 2957, 2975, 2993,
变为1需要7步—— {7, {49, 67, 85, 89, 139, 157, 175, 179, 193, 197, 199, 229, 247, 265, 269, 283, 287, 289, 319, 337, 355, 359, 373, 377, 379, 391, 395, 397, 409, 427, 445, 449, 463, 467, 469, 481, 485, 487, 517, 535, 539, 553, 557, 559, 571,
变为1需要8步—— {8, {5, 16, 23, 34, 41, 52, 70, 98, 106, 113, 124, 131, 142, 160, 188, 203, 214, 221, 232, 250, 278, 296, 304, 311, 322, 340, 368, 386, 401, 412, 430, 458, 476, 494, 502, 520, 548, 566, 584, 610, 638, 656, 674, 692, 700, 728,
变为1需要9步—— {9, {4, 22, 40, 59, 77, 79, 95, 97, 112, 130, 149, 167, 169, 185, 187, 202, 220, 239, 257, 259, 275, 277, 293, 295, 310, 329, 347, 349, 365, 367, 383, 385, 400, 419, 437, 439, 455, 457, 473, 475, 491, 493, 499, 509, 527, 529,
变为1需要10步—— {10, {2, 7, 20, 25, 29, 43, 47, 58, 61, 65, 76, 83, 94, 110, 115, 119, 133, 137, 148, 151, 155, 166, 173, 184, 191, 200, 205, 209, 223, 227, 238, 241, 245, 256, 263, 274, 281, 292, 313, 317, 328, 331, 335, 346, 353, 364, 371,
变为1需要11步—— {11, {14, 32, 50, 88, 104, 122, 140, 178, 196, 212, 230, 268, 286, 302, 320, 358, 376, 394, 410, 448, 466, 484, 500, 538, 556, 574, 592, 628, 646, 664, 682, 718, 736, 754, 772, 790, 808, 826, 844, 862, 880, 916, 934, 952,
变为1需要12步—— {12, {68, 86, 158, 176, 194, 248, 266, 284, 338, 356, 374, 392, 428, 446, 464, 482, 518, 536, 554, 572, 590, 598, 608, 626, 644, 662, 680, 688, 716, 734, 752, 770, 778, 796, 806, 824, 842, 860, 868, 886, 914, 932, 950, 958,
譬如。68变为1需要12步——{68, 196, 256, 169, 16777216, 1369, 47045881, 2565726409, 9474296896, 4096, 361, 1000000, 1}
变为1需要1步的数字和——{1, {1}},
变为1需要2步的数字和——{2, {10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000,
变为1需要3步的数字和——{3, {2, 8, 19, 20, 35, 46, 55, 71, 80, 145, 152, 179, 190, 200, 251, 332, 350, 361, 449, 451, 460, 461, 547, 548, 550, 554, 596, 649, 655, 677, 691, 710, 800, 835, 839, 851, 877, 896, 913, 928, 934, 959, 962, 974, 976,
变为1需要4步的数字和——{4, {4, 8, 26, 28, 40, 44, 50, 52, 56, 58, 62, 64, 74, 80, 82, 86, 88, 98, 104, 106, 116, 118, 122, 124, 128, 148, 154, 170, 172, 178, 182, 184, 188, 194, 206, 208, 218, 224, 226, 230, 242, 244, 260, 262, 266, 268, 278,
变为1需要5步的数字和——{5, {11, 46, 64, 68, 70, 98, 101, 110, 112, 134, 136, 142, 152, 158, 164, 166, 172, 176, 202, 206, 208, 212, 214, 224, 226, 232, 238, 242, 244, 248, 250, 262, 272, 274, 278, 296, 298, 308, 313, 314, 326, 338, 344,346,
变为1需要6步的数字和——{6, {23, 31, 35, 37, 47, 55, 73, 77, 79, 89, 107, 115, 119, 125, 131, 133, 139, 157, 173, 187, 193, 197, 205, 209, 217, 229, 233, 235, 241, 245, 247, 253, 281, 283, 289, 295, 301, 305, 307, 335, 337, 341, 355, 367,371,
变为1需要7步的数字和——{7, {13, 17, 19, 29, 43, 49, 53, 59, 61, 65, 67, 71, 83, 85, 91, 95, 97, 103, 109, 113, 121, 127, 133, 137, 145, 149, 151, 155, 161, 163, 167, 169, 173, 175, 179, 181, 185, 187, 191, 199, 211, 215, 221, 223, 227, 239,
变为1需要8步的数字和——{8, {5, 7, 17, 25, 29, 37, 47, 53, 61, 65, 73, 79, 89, 91, 107, 109, 115, 119, 125, 127, 143, 151, 155, 161, 181, 199, 205, 215, 235, 245, 253, 269, 271, 277, 289, 305, 323, 325, 335, 341, 347, 349, 377, 379, 385, 389,
变为1需要9步的数字和——{9, {4, 14, 16, 22, 28, 32, 34, 38, 40, 50, 76, 82, 86, 92, 94, 122, 130, 134, 136, 140, 146, 158, 160, 166, 170, 176, 184, 188, 190, 194, 196, 212, 220, 236, 238, 254, 256, 266, 274, 280, 284, 290, 292, 296, 302, 304,
变为1需要10步的数字和——{10, {2, 7, 11, 13, 20, 23, 25, 31, 41, 43, 59, 85, 95, 97, 101, 103, 110, 121, 131, 139, 143, 163, 167, 169, 175, 185, 191, 197, 200, 203, 209, 211, 217, 223, 227, 229, 233, 239, 241, 247, 259, 265, 269, 287, 293,295,
变为1需要11步的数字和——{11, {5, 16, 34, 38, 49, 52, 56, 67, 70, 77, 106, 113, 142, 146, 149, 157, 160, 164, 182, 193, 214, 221, 236, 250, 257, 272, 275, 283, 286, 290, 308, 311, 337, 340, 362, 373, 380, 391, 409, 412, 419, 427, 434, 445,
变为1需要12步的数字和——{12, {14, 22, 58, 68, 104, 112, 130, 140, 148, 202, 220, 230, 248, 302, 310, 338, 374, 410, 446, 454, 482, 526, 536, 544, 580, 590, 608, 616, 626, 652, 680, 706, 734, 806, 814, 842, 850, 878, 914, 932, 950, 958, 976,
说明。每个数都有数字和。每个数(上表)总能在下表找到数字和！！！——只有人脑才有这大胆的想法！！！！ |
IP卡
狗仔卡
发表于 2026-11-10 05:20
提升卡
置顶卡
沉默卡
喧嚣卡
变色卡
显身卡
楼主