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[讨论] 方幂圈问题

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 楼主| 发表于 2008-12-27 16:41:48 | 显示全部楼层
N = 8 (1, 1) 1 -> 1 (876542, 876542) 24678050 -> 24678050 (7665211, 9965411) 88229221 -> 76602178 -> 31666307 -> 10816772 -> 29986692 -> 149277123 -> 54648934 -> 62097347 -> 56328292 -> 61901507 -> 50881765 -> 41780100 -> 22607555 -> 8616804 -> 36979201 -> 93544677 -> 56784197 -> 73489317 -> 71432198 -> 65661093 -> 48482756 -> 41520802 -> 17233890 -> 65602117 -> 9514916 -> 88229221 (7766221, 98874431) 82503588 -> 51119715 -> 49592776 -> 99759077 -> 146825191 -> 61959973 -> 136981767 -> 74719334 -> 54720518 -> 23389060 -> 61516931 -> 46803142 -> 18594722 -> 66045412 -> 3881186 -> 52017827 -> 28697956 -> 112385572 -> 23330342 -> 92292 -> 86094210 -> 61569346 -> 48548292 -> 77123362 -> 13222853 -> 17181732 -> 28313638 -> 35253988 -> 77395781 -> 77515527 -> 18466535 -> 20989796 -> 153362052 -> 2474501 -> 6286755 -> 26682755 -> 26683011 -> 20143267 -> 7517027 -> 17685285 -> 41780356 -> 24684356 -> 20664962 -> 48151617 -> 24677797 -> 67851333 -> 24631942 -> 44864483 -> 35502753 -> 6950054 -> 45573123 -> 6624966 -> 49830977 -> 114472357 -> 12058118 -> 33945316 -> 45202182 -> 17234146 -> 7582308 -> 39716675 -> 58332742 -> 23011812 -> 16784292 -> 67334403 -> 7595172 -> 55357830 -> 23727014 -> 11602212 -> 1680387 -> 41005411 -> 521700 -> 6155683 -> 20924260 -> 44792641 -> 50688003 -> 35631234 -> 2155717 -> 12311110 -> 6822 -> 18457344 -> 23135812 -> 17181477 -> 34137158 -> 23011302 -> 13636 -> 3372355 -> 6565990 -> 90233924 -> 86172612 -> 25901763 -> 50888581 -> 67890115 -> 67658981 -> 86115812 -> 35624932 -> 45196132 -> 45189317 -> 66051462 -> 5495266 -> 47252995 -> 92705541 -> 49658565 -> 64420580 -> 18978785 -> 105298597 -> 109416966 -> 91197828 -> 125412933 -> 43516518 -> 19310181 -> 59830502 -> 60612004 -> 3425025 -> 853859 -> 77388964 -> 89882468 -> 111900993 -> 129146727 -> 56321989 -> 104947717 -> 60472198 -> 67334147 -> 13353413 -> 482407 -> 22673345 -> 7914212 -> 48877572 -> 51305252 -> 1178949 -> 108700997 -> 114400261 -> 1810947 -> 65654276 -> 11650691 -> 46796581 -> 69404132 -> 44864227 -> 24418753 -> 23070532 -> 6169060 -> 48085570 -> 40166019 -> 46471491 -> 50687748 -> 47219811 -> 65654533 -> 4609765 -> 52626915 -> 47187716 -> 35816773 -> 30390182 -> 59837316 -> 67672102 -> 14889347 -> 82503588 (8765421, 8765421) 24678051 -> 24678051 (9774221, 76544322) 7973187 -> 77124902 -> 54642372 -> 7973187 (98877543, 98877543) 88593477 -> 88593477
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2008-12-27 17:21:42 | 显示全部楼层
  1. #include <stdlib.h>
  2. #include <stdio.h>
  3. #define BLen 4*1024*1024
  4. long long B[BLen][3];
  5. int Temp[BLen];
  6. long long powD[10];
  7. int N, pos;
  8. void init(void)
  9. {
  10. int i, j;
  11. for (i = 0; i < BLen; i ++)
  12. B[i][0] = B[i][1] = B[i][2] = 0;
  13. for (i = 0; i <= 9; i ++)
  14. {
  15. powD[i] = i;
  16. for (j = 2; j <= N; j ++) powD[i] *= i;
  17. }
  18. pos = 0;
  19. }
  20. int circle(int n, int b, long long num, long long ps)
  21. {
  22. int i, j, k;
  23. if (n == 0)
  24. {
  25. B[pos][0] = num;
  26. B[pos++][1] = ps;
  27. }
  28. else
  29. {
  30. for (i = 1; i <= b; i ++)
  31. circle(n-1, i, num*10+i, ps + powD[i]);
  32. }
  33. }
  34. int binsearch(long long key, int low, int hi)
  35. {
  36. int m;
  37. if (low > hi) return (-1);
  38. if (low == hi)
  39. if (key == B[low][0]) return low; else return -1;
  40. if (key == B[low][0]) return low;
  41. if (key == B[hi][0]) return hi;
  42. if (low + 1 == hi) return -1;
  43. m = (low + hi) >> 1;
  44. if (key == B[m][0])
  45. return m;
  46. else
  47. if (key < B[m][0])
  48. return binsearch(key, low, m);
  49. else
  50. return binsearch(key, m, hi);
  51. }
  52. long long toSort(long long n)
  53. {
  54. long long D[10];
  55. int i, j;
  56. for (i = 1; i <= 9; i ++) D[i] = 0;
  57. while (n > 0)
  58. {
  59. D[n % 10]++;
  60. n /= 10;
  61. }
  62. D[0] = 0;
  63. for (i = 9; i >= 1; i --)
  64. if (D[i])
  65. for (j = 0; j < D[i]; j++)
  66. {
  67. D[0] *= 10;
  68. D[0] += i;
  69. }
  70. return D[0];
  71. }
  72. void mark(int pos)
  73. {
  74. int i, next, j, k;
  75. for (i = 0; i < pos; i ++)
  76. if (B[i][0] == B[i][1])
  77. B[i][2] = 1;
  78. else
  79. if (B[i][2] == 0)
  80. {
  81. next = binsearch(B[i][1], 0, pos-1);
  82. if (B[next][2] != 0)
  83. B[i][2] = -1;
  84. else
  85. {
  86. j = 0;
  87. Temp[j++] = i;
  88. Temp[j++] = next;
  89. B[i][2] = 2;
  90. while (B[next][2] == 0)
  91. {
  92. B[next][2] = 2;
  93. next = binsearch(B[next][1], 0, pos-1);
  94. Temp[j++] = next;
  95. }
  96. k = j;
  97. if ((B[next][2] == -1) || (B[next][2] == 1))
  98. for (j = 0; j < k - 1; j ++) B[Temp[j]][2] = -1;
  99. else
  100. {
  101. for (j = 0; j < k - 1; j ++)
  102. B[Temp[j]][2] = -1;
  103. B[next][2] = 1;
  104. }
  105. }
  106. }
  107. }
  108. long long powerDigit(long long n)
  109. {
  110. long long r = 0, k = n;
  111. while (k > 0)
  112. {
  113. r += powD[k % 10];
  114. k /= 10;
  115. }
  116. return r;
  117. }
  118. void write(long long n)
  119. {
  120. long long first, next;
  121. first = powerDigit(n);
  122. printf("%lld -> ", first);
  123. next = first;
  124. next = powerDigit(first);
  125. while (next != first)
  126. {
  127. printf("%lld -> ", next);
  128. next = powerDigit(next);
  129. }
  130. printf("%lld\n", next);
  131. }
  132. int main(void)
  133. {
  134. int i;
  135. printf("Input N: ");
  136. scanf("%d", &N);
  137. init();
  138. for (i = 1; i <= N + 1; i ++)
  139. circle(i, 9, 0, 0);
  140. printf("\n%d\n", pos);
  141. for (i = 0; i < pos; i ++)
  142. B[i][1] = toSort(B[i][1]);
  143. mark(pos);
  144. // for (i = 0; i < pos; i ++) printf("(%d, %d, %d) ", B[i][0], B[i][1], B[i][2]);
  145. printf("\n");
  146. for (i = 0; i < pos; i ++)
  147. if (B[i][2] == 1)
  148. {
  149. printf("(%lld, %lld)\n ", B[i][0], B[i][1]);
  150. write(B[i][1]);
  151. }
  152. return 0;
  153. }
复制代码
从N = 9到N = 16的程序
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2008-12-27 18:49:21 | 显示全部楼层
N = 9 (1, 1) 1 -> 1 (8644321, 99884431) 1043820406 -> 144839908 -> 1043820406 (9765442, 97744321) 468672187 -> 369560719 -> 837322786 -> 359260756 -> 451855933 -> 527799103 -> 857521513 -> 180450907 -> 564207094 -> 440329717 -> 468672187 (76655441, 99865433) 921391037 -> 815234465 -> 148746158 -> 321344174 -> 41179919 -> 1202877221 -> 214926992 -> 1172602844 -> 185174345 -> 179021558 -> 565898588 -> 940228472 -> 562517648 -> 198895634 -> 1055589083 -> 661735004 -> 62743952 -> 440087768-> 359744654 -> 442564157 -> 55124498 -> 526069268 -> 553825454 -> 142574711 ->83185142 -> 270670922 -> 478206935 -> 574304984 -> 564751064 -> 64939538 -> 921391037 (85432211, 76654331) 62763635 -> 72579698 -> 1001797253 -> 470101025 -> 42569390 -> 787154138 -> 351377624 -> 93040058 -> 523873169 -> 574062524 -> 54862865 -> 292759754 ->859717610 -> 614376254 -> 63006608 -> 164470499 -> 826058714 -> 321082541 -> 136453706 -> 62763635 (86542111, 86542111) 146511208 -> 146511208 (98743311, 966533322) 409589079 -> 1339048071 -> 562293336 -> 409589079 (98776543, 98766541) 584362486 -> 291088456 -> 668149423 -> 542338093 -> 523913047 -> 430029244 -> 388227628 -> 453105706 -> 54619381 -> 533950867 -> 576015136 -> 64434934 -> 398586127 -> 708260569 -> 584100853 -> 272623534 -> 52687474 -> 227480563 -> 186885007 -> 455037613 -> 54639064 -> 410072977 -> 508743967 -> 614658079 -> 584362486 (99932221, 8876622211) 328945993 -> 1298734342 -> 562556503 -> 27988087 -> 870781399 -> 1124003332 -> 322219 -> 387441709 -> 602889403 -> 666215980 -> 553824943 -> 526108633 -> 156366124 -> 32468554 -> 148746157 -> 227480053 -> 176807311 -> 225022324 -> 2237512 -> 42327952 -> 430010584 -> 136714825 -> 186884497 -> 841029265 -> 533932207 -> 429787294 -> 990291232 -> 1162282687 -> 328945993 (875554432, 99875311) 951385123 -> 525584347 -> 180975193 -> 951385123 (876542211, 886665321) 300641865 -> 156608073 -> 196699536 -> 1194467364 -> 448735605 -> 189099252 -> 1298433345 -> 524175192 -> 431943516 -> 400014966 -> 408100170 -> 174833481 -> 309352719 -> 817187589 -> 872734014 -> 215469426 -> 410054319 -> 389917587 -> 1125956457 -> 443973825 -> 564509115 -> 403619706 -> 448211316 -> 144839910-> 909602679 -> 1222770978 -> 642700575 -> 94953816 -> 921371355 -> 431720226 -> 50714667 -> 103077876 -> 265375929 -> 829199238 -> 1430717631 -> 91086423 -> 531998253 -> 913004835 -> 523892853 -> 659802585 -> 671793528 -> 614396448 -> 542599725 -> 821317128 -> 308809773 -> 736602525 -> 64435956 -> 412026102 -> 10341378 -> 174872847 -> 390021078 -> 562012020 -> 12032358 -> 136211244 -> 10622694 -> 407839050 -> 564226776 -> 113156595 -> 403377246 -> 91349076 -> 825554109 -> 527760249 -> 480421692 -> 532241226 -> 12314697 -> 438134133 -> 134820750 -> 176806800 -> 328944456 -> 534475665 -> 66912345 -> 409811346 -> 532259886 -> 669860598 -> 1075462647 -> 103340532 -> 2274831 -> 174854187 -> 351620085 -> 148221870 -> 309052233 -> 389433687 -> 706608441 -> 195251016 -> 401404950 -> 390160047 ->438133620 -> 144617130 -> 50975277 -> 512388072 -> 310762896 -> 582167412 -> 186865326 -> 300641865 (876553211, 888775541) 487528793 -> 738798623 -> 746680733 -> 235381844 -> 270952748 -> 604561724 -> 62986925 -> 931168247 -> 572351861 -> 188575478 -> 487528793 (876655321, 987653311) 574062013 -> 52666768 -> 216835756 -> 198653173 -> 574062013 (887774311, 98877631) 746660539 -> 460242136 -> 20700388 -> 308809258 -> 792046993 -> 1212975109 -> 817148737 -> 389778106 -> 746660539 (975554322, 964333221) 397820403 -> 562293846 -> 544029585 -> 528022392 -> 523613073 -> 52443990 -> 777338586 -> 401566464 -> 32972646 -> 448212339 -> 522202896 -> 533671086 -> 196719219 -> 1212693285 -> 533690259 -> 788864802 -> 587564871 -> 363388761 -> 329003505 -> 391366617 -> 458046552 -> 150679599 -> 1216599021 -> 786872826 ->503516814 -> 148483503 -> 270952236 -> 439826136 -> 542095632 -> 401687286 -> 329207112 -> 427795317 -> 510716775 -> 135044769 -> 440348889 -> 790879788 -> 1298554983 -> 1047465024 -> 53171373 -> 82719390 -> 949432509 -> 1164759075 -> 482373795 -> 604600578 -> 196941996 -> 1570099494 -> 1205092488 -> 658072239 -> 574043352 -> 44824023 -> 135024867 -> 186884496 -> 810753354 -> 178779096 -> 1040197224 -> 428299410 -> 909584019 -> 1298694465 -> 931692024 -> 785201526 -> 188556306 -> 292516782 -> 574024182 -> 177049773 -> 549116745 -> 442282332 -> 134783430-> 175154673 -> 94972989 -> 1724515947 -> 472558755 -> 223000098 -> 521658924 -> 535885332 -> 274354392 -> 430291899 -> 1296761535 -> 451855935 -> 529732545 ->433916322 -> 397820403 (977554332, 977554332) 472335975 -> 472335975 (986544433, 986544433) 534494836 -> 534494836 (988776632, 877766543) 277668893 -> 756738746 -> 277668893 (998553211, 998553211) 912985153 -> 912985153
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2008-12-27 18:53:07 | 显示全部楼层
N = 10 (1, 1) 1 -> 1 (764321, 755443) 304162700 -> 344050075 -> 304162700 (96544321, 9875543321) 4863700423 -> 1418899523 -> 9131926726 -> 7377037502 -> 1139785743 -> 5136409024 -> 3559173428 -> 4863700423 (98655432, 66443321) 123148627 -> 1417792924 -> 7540618502 -> 1437264100 -> 345098652 -> 4641632300 -> 123148627 (664433211, 886432211) 2209059499 -> 13957953853 -> 8359259898 -> 13701169998 -> 11877095504 -> 5146056551 -> 161043430 -> 62681428 -> 2269466625 -> 3739466378 -> 5247634798 -> 5197865749 -> 8693307127 -> 5186062022 -> 1204442874 -> 1360413426 -> 123148628 -> 2209059499 (977776443, 977776443) 4679307774 -> 4679307774 (986543211, 8776666431) 1881664652 -> 2339697403 -> 7317736974 -> 4678318248 -> 3566324123 -> 131925749 -> 7266918327 -> 5246470173 -> 637339525 -> 3849435247 -> 4856031949 -> 8119698629 -> 12728770229 -> 5407956069 -> 7397556229 -> 7618577823 -> 3065201270 -> 352768148 -> 2501299348 -> 8058185925 -> 6737307773 -> 1473019568 -> 4914340902 -> 6976774604 -> 4517705828 -> 2733014997 -> 7539686999 ->15434111703 -> 294456128 -> 4632857227 -> 1710034820 -> 1357325724 -> 585650471 -> 1447028701 -> 1640790500 -> 3840540028 -> 2159406498 -> 8119640604 -> 4683555731 -> 1447146799 -> 7602131206 -> 403468700 -> 1418839450 -> 5646189877 -> 6330965101 -> 3617600478 -> 1760732300 -> 625535797 -> 4141558023 -> 1095430301 -> 3497716702 -> 4395784974 -> 8625231526 -> 1214267548 -> 1428548076 -> 2502288875 -> 3523235043 -> 20818070 -> 2429959922 -> 13957955901 -> 10772184378 -> 2996018046 -> 8169292579 -> 11886804126 -> 3343207427 -> 567226845 -> 1497731299 -> 11026412352 -> 71342501 -> 293349525 -> 6994268774 -> 8735291652 -> 4923059998 -> 15031753702 -> 584600872 -> 2501240298 -> 4571343499 -> 7269073503 -> 4122085822 -> 2158301946 -> 4631866677 -> 1881664652 (9766654421, 998653221) 8117603525 -> 1436274574 -> 638388101 -> 3281809748 -> 6991593772 -> 11095595576 -> 7355572729 -> 4363568120 -> 1205607500 -> 362473700 -> 626584372 -> 1488024723 -> 2432117147 -> 567108750 -> 1718689749 -> 9747517702 -> 4627500623 -> 414282899 ->9123151651 -> 3566841904 -> 4693380404 -> 4624256227 -> 415274474 -> 578911452 -> 4863582326 -> 2279350347 -> 4062669246 -> 3730748305 -> 1649683670 -> 5025507628 -> 1445982172 -> 4854866301 -> 2280337827 -> 2712555316 -> 372299399 -> 14229732999 -> 14230723551 -> 303175223 -> 292420070 -> 3770311298 -> 5125595847 -> 4883113575 -> 2450656823 -> 1215315099 -> 6993160128 -> 8168303053 -> 2217892597 -> 8622029822 -> 5694739345 -> 7338256727 -> 1991519518 -> 11553626281 -> 1214266526 -> 192215803 -> 4570352949-> 7277732526 -> 1200194918 -> 8048360229 -> 5695843898 -> 10275899325 -> 8349378223 -> 5917971069 -> 11095535504 -> 3526954528-> 4651398949 -> 11606483030 -> 1195840852 -> 5654848901 -> 5716362628 -> 1547442324 -> 296496276 -> 7438493203 -> 4845276797 -> 5480281949 -> 9132916252 -> 7043862726 -> 1760734347 -> 910107174 -> 4052783478 -> 2724356996 -> 7387851701 -> 3004734071 -> 56 7165749 -> 4193247078 -> 5127633949 -> 7327443551 -> 586698023 -> 5765026099 -> 7396508677 -> 5538708998 -> 10496859822 -> 9192334876 -> 8391419750 -> 8340659127 -> 4914341925 -> 6986540230 -> 4692332851 -> 4631926749 -> 7379133629 -> 7599163648 -> 8461591478 -> 5989072253 -> 8349378222 -> 5917913044 -> 7267965879 -> 9025435374 -> 3791007174 -> 4335317775 -> 868182721 -> 3564168947 -> 4975855653 -> 4943637775 -> 4406657199 -> 7388839181 -> 8064345046 -> 1207644578 -> 1711022300 -> 282536349 -> 4631926748 -> 4966091052 -> 7105316380 -> 1426566974 -> 3962521980 -> 8117603525
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2008-12-27 18:57:59 | 显示全部楼层
N = 11 (1, 1) 1 -> 1 (97666641, 88887643311) 36704410767 -> 6666140097 -> 34813768881 -> 36704410767 (755443321, 987744322) 43934217538 -> 42006071167 -> 4684443952 -> 40399575793 -> 98200037161 -> 42311297197 -> 66721148254 -> 11350076278 -> 12956392456 -> 63589745128 -> 51003082342 -> 8643315412 -> 9010304725 -> 33411587977 -> 45956351155 -> 31992368743 -> 73696905403 -> 65518416796 -> 43138562668 -> 18321639124 -> 40338343954 -> 40033113826 -> 8957459443 -> 73439796862 -> 76036852054 -> 11394885196 -> 80357985037 -> 52613592823 -> 40431807946 -> 42323878060 -> 19524545677 -> 35853385183 -> 25916996740 -> 96899124160 -> 103462903885 -> 48977104621 -> 44296835401 -> 40395381490 -> 71409624838 -> 50909620396 -> 94917780259 -> 106740791383 -> 44292993343 -> 94156297276 -> 67495393342 -> 65159993239 -> 125985048085 -> 57301544113 -> 2083725898 -> 59177199496 -> 129894711409 -> 104718830821 -> 27751504021 -> 4056508138 -> 17644693942 -> 65477802181 -> 21550344205 -> 155054227 -> 2128009519 -> 71400886033 -> 19524541582 -> 40125871282 -> 19210224502 -> 31434090232 -> 31389983755 -> 82017502837 -> 21183532039 -> 40020357865 -> 11032088140 -> 17184242686 -> 19891182745 -> 81972339625 -> 73741364125 -> 4375023619 -> 33774562180 -> 12960763906 -> 65828016325 -> 18003300790 -> 41948675239 -> 73749573538-> 46005356425 -> 880646290 -> 49290719257 -> 98150858839 -> 97219690984 -> 136458493180 -> 48981296878 -> 99466177738 -> 78013999603 -> 105073591513-> 33505225024 -> 151039117 -> 33407391628 -> 42315845794 -> 42058739302 -> 42001701763 -> 4321824043 -> 8602875895 -> 59588645482 -> 57668535472 -> 13421040064 -> 375559165 -> 33916673056 -> 34496137087 -> 44297187646 -> 44663826760 -> 12027017362 -> 4317633835 -> 10983789409 -> 113304746206 -> 2711665807 -> 13319012365 -> 31793218282 -> 50538615976 -> 42820576579 -> 44390299393 -> 125533160533 -> 509992069 -> 125935865665 -> 41254877065 -> 13013432041 -> 8922100 -> 39970998298 -> 176062673167 -> 7383347650 -> 12960939004 -> 94510349383 -> 71409801985 -> 81972337576 -> 46314955954 -> 63284160709 -> 42678288556 -> 28574579281 -> 52617436930 -> 34137359236 -> 33774916474 -> 37688774101 -> 23479017922 -> 66721150300 -> 2751928177 -> 45951806653 -> 40847444140 -> 10592427160 -> 33774209935 -> 66770328622 -> 13633162537 -> 2752459618 -> 42412972651 -> 33778406287 -> 23479197115 -> 66769974331 -> 67809712471 -> 46269967840 -> 74426162377 -> 6666144193 -> 32840813590 -> 48614307565 -> 11399077453 -> 66770149429 -> 67450757473 -> 8378326033-> 19520703619 -> 65151250339 -> 31890697384 -> 82286660800 -> 26858199040 -> 80357809936 -> 82331294620 -> 40338346000 -> 8961651697 -> 74466599848 -> 82706320294 -> 42315495595 -> 62965999522 -> 126347494942 -> 65119201477 -> 35751534631 -> 2491333921 -> 62766849061 -> 43403705521 -> 2083727944 -> 43934217538 (776543211, 876654321) 11346057072 -> 4370652168 -> 11346057072 (966544321, 966544321) 32164049650 -> 32164049650 (985443222, 985443222) 40028394225 -> 40028394225 (987433111, 99865554421) 71869725898 -> 92898203710 -> 81919496389 -> 143071276129 -> 35702885701 -> 21232358116 -> 9001920214 -> 62766317620 -> 5406022954 -> 31849905619 -> 103149110053 -> 31434436336 -> 739062760 -> 36061486402 -> 9686893564 -> 81083579146 -> 50954252170 -> 33509069128 -> 71764035334 -> 4375198717 -> 45956174008 -> 42417162859 -> 42368338831 -> 26137505773 -> 6392789878 -> 92849552731 -> 73431412351 -> 2035076968 -> 42722922376 -> 35702891842 -> 50591459209 -> 94293859555 -> 102932799418 -> 104714815711 -> 12601804816 -> 17909659651 -> 96943755934 -> 96589701778 -> 86285593813 -> 57611673034 -> 4733624323 -> 2349225091 -> 62815324939 -> 71768231686 -> 22223093035 -> 31430427367 -> 4326372640 -> 2711667853 -> 13319189512 -> 71401238281 ->19161571477 -> 37728859327 -> 54542095537 -> 33562266655 -> 1598030989 -> 111372053284 -> 10620642157 -> 2755947382 -> 44027679484 -> 44305224007 -> 2038919023 -> 71352412201 -> 2030532466 -> 778974931 -> 77288405491 -> 52572801061 -> 11027718739 -> 45903153628 -> 40435998154 -> 71462470120 -> 4325843248 -> 17241638611 -> 11297228950 -> 73378214824 -> 21143269669 -> 63854885935 -> 57664693414 -> 34508365705 -> 11081091364 -> 40338162712 -> 10934611087 -> 42315489454 -> 40085606863 -> 18321459928 -> 79995192076 -> 129890519152 -> 102830773768 -> 23475002812 -> 10620467056 -> 3118742389 -> 50542806184 -> 17648713147 -> 14893277635 -> 44341823515 -> 8700530098 -> 50587260808 -> 28207585873 -> 29822294755 -> 73431239299 -> 96125235412 -> 31845890512 -> 48662958544 -> 49396764115 -> 65522433955 -> 31943721859 -> 73382759326 -> 44337808405 -> 19218961258 -> 80353617682 -> 19931974507 -> 98151031891 -> 79990993678 -> 169812860326 -> 49649501206 -> 63544932112 -> 31801431790 -> 41952869545 -> 71869725898 (987664322, 987664322) 42678290603 -> 42678290603 (988665543, 988665543) 49388550606 -> 49388550606 (997654431, 99886665531) 81128212968 -> 57513666588 -> 20392248618 -> 48928103445 -> 48622519026 -> 40749616887 -> 53249565000 -> 31894714539 -> 73386951582 -> 50999065185 -> 103242394851 -> 40028569326 -> 40749791985 -> 106744983639 -> 74063717568 -> 15300708510 -> 10665094734 -> 34141374345 -> 2043463527 -> 2397698922 -> 105073420509 -> 33460416102 -> 734339064 -> 33730103457 -> 4008384504 -> 17241457368 -> 12964781064 -> 42682305714 -> 10987456368 -> 51317049225 -> 33460418151 -> 9010302678 -> 42311297196 -> 65106618567 -> 12116105811 -> 9001561827 -> 42359948175 -> 73435604607 -> 4737818625 -> 21550521351-> 195493746 -> 65159636898 -> 81128212968 (7765555431, 9754444311) 33424168842 -> 17555607543 -> 4517134494 -> 33424168842 (7766664311, 654332111) 416175830 -> 10983257969 -> 105122244539 -> 31487287760 -> 23479019969 -> 127868735735 -> 23572659062 -> 34181820005 -> 17233070810 -> 12544944422 -> 31450865399 -> 71817055715 -> 14668399199 -> 134844138593 -> 48622871273 -> 21501697322 -> 33770194826 -> 44292995390 -> 125581636412 -> 9417560504 -> 33827228267 -> 21497682212 -> 42315320498 -> 40028569325 -> 40435823054 -> 8700530096 -> 42360123272 -> 2344680590 -> 40391187185 -> 50591455115 -> 31629394541 -> 63182489351 -> 48977104622 -> 44296837448 -> 50918009003 -> 71401059083 -> 42001520522 -> 101858747 -> 21187545101 -> 10669113941 -> 63492084785 -> 50958448520 -> 48715803824 -> 27804526448 -> 19581408116 -> 48976748282 -> 61476706631 -> 5410213163 -> 416175830 (8887654421, 87766543211) 13323383816 -> 17543554025 -> 2181207047 -> 12548786480 -> 28167146357 -> 13323383816 (9665443211, 9665443211) 32164049651 -> 32164049651 (9765554321, 8874333221) 19161925769 -> 96894929858 -> 151709863745 -> 44390472446 -> 33742334123 -> 1986605183 -> 49335528179 -> 73431587450 -> 12650987231 -> 42360127370 -> 4322003237 -> 1982058632 -> 48972735218 -> 52568785952 -> 51096369188 -> 80716587788 -> 40703343779 -> 37321959887 -> 83945826356 -> 49388729801 -> 90513623237 -> 33770547071 -> 7962683696 -> 74780747972 -> 49866018572 -> 51316874126 -> 11346057074 -> 4374844424 -> 10592606354 -> 32208683471 -> 19524545678 -> 42465993032 -> 63182491397 -> 73696728257 -> 46677577910 -> 40068983123 -> 48928276496 -> 82653301961 -> 40745772782 -> 16556462393 -> 32571657674 -> 6759604091 -> 65518062503 -> 9462192275 -> 65155271591 -> 33916497959 -> 127917738959 -> 108714100970 -> 43929841994 -> 134126935136 -> 32160209642 -> 32111031317 -> 1977860237 -> 46265950682 -> 41161240019 -> 31752247325 -> 4056864479 -> 42735326093 -> 33774741374 -> 7922421326 -> 33725563052 -> 2487143711 -> 12553155884 -> 17379555185 -> 44121137336 -> 2349045899 -> 102790509347 -> 66769974329 -> 99190596980 -> 165906857819 -> 82742565509 -> 42461800775 -> 12964603916 -> 63854883887 -> 45343173482 -> 10629205862 -> 40745422583 -> 10677681740 -> 15251703239 -> 33456400994 -> 63186681605 -> 18680062682 -> 26858199041 -> 80357809937 -> 83945824307 -> 50595828611 -> 49070212274 -> 35344107848 -> 19218961259 -> 103144742699-> 65115005126 -> 872080538 -> 27796137839 -> 77647187438 -> 25460538968 -> 49388552654 -> 49078778027 -> 56474432117 -> 4379040776 -> 37684402649 ->42686677163 -> 14000149802 -> 39979384859 -> 144734811086 -> 19532753045 -> 33509421374 -> 33416136575 -> 2805302852 -> 17277708725 -> 18525400529 ->40121676977 -> 38042830304 -> 17188791281 -> 61105518923 -> 40431626705 -> 2760316784 -> 13274555690 -> 33872041283 -> 19161925769 (9776644321, 987665311) 42722920330 -> 33362943142 -> 31752957958 -> 75453370867 -> 14986916725 -> 74107999144 -> 98110415227 -> 42001347472 -> 3967417642 -> 36069875011 -> 42722920330 (9877655431, 9754444432) 33428365192 -> 40387349224 -> 41961262246 -> 32477845531 -> 12650989279 -> 105122069440 -> 31801077496 -> 44292816196 -> 72086040628 -> 19886988439 -> 128870085703 -> 29773464583 -> 44346017818 -> 19532753044 -> 33464787553 -> 13013961433 -> 31748759560 -> 44390472445 -> 33428365192 (9877665443, 9877665443) 44708635679 -> 44708635679 (9986543321, 98877663221) 53241357635 -> 2491335968 -> 71768229638 -> 53241357635 (9995444211, 9995444211) 94204591914 -> 94204591914 (9998654432, 654333311) 416528075 -> 11031910994 -> 94147550282 -> 42054369899 -> 103153306403 -> 416528075 (87655532211, 776421111) 4321646898 -> 49295090709 -> 127554589656 -> 42873423909 -> 73338127551 -> 12642777819 -> 46269969888 -> 121005570123 -> 2075164239 -> 33774387081 -> 23116575159 -> 33867846981 -> 59858332839 -> 88630112733 -> 19520526474 -> 33827232363 -> 10930950270 -> 64788453282 -> 28167325551 -> 11076724011 -> 4321646898 (97766432211, 8766665532) 12116285004 -> 9005758176 -> 44386100994 -> 71727610926 -> 38038638048 -> 34727261169 -> 36065682756 -> 12116285004 (99887665321, 99887665321) 82693916578 -> 82693916578
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2008-12-27 19:02:58 | 显示全部楼层
N = 12 (1, 1) 1 -> 1 (887555421, 98654432211) 353604030245 -> 2700216437 -> 29876673588 -> 520868781925 -> 505094325669 -> 569962372262 -> 585475395621 -> 368160958008 -> 493186203428 -> 422079897796 -> 959725515526 -> 582097853817 -> 516759357879 -> 678012146954 -> 369621564245 -> 289482258805 -> 557812514179 -> 379580790809 -> 1012654809383 -> 422307257110 -> 27944035974 -> 592836655174 -> 370093599719 -> 1157645923834 -> 367689985416 -> 722931109926 -> 863307222711 -> 98579908646 -> 1003183332629 -> 353327929511 -> 579190243930 -> 861391881464 -> 492975617237 -> 608821174376 -> 169492405301 -> 567314085894 -> 436408926614 -> 357730227411 -> 41785850520 -> 152029443861 -> 353604030245 (9765433211, 9999887532) 1281243062759 -> 367428544326 -> 87209871956 -> 732401527894 -> 379109822310 -> 647420907975 -> 608837416054 -> 155912031844 -> 351671384439 -> 367446372136 -> 34248074262 -> 84788421650 -> 222454198899 -> 985005270261 -> 367655372197 -> 328796310985 -> 718561303575 -> 99312318233 -> 633580683656 -> 146635958389 -> 707157712455 -> 56114351993 -> 567541976649 -> 599593830055 -> 916985711561 -> 652261682825 -> 144457598115 -> 365773053944 -> 312812323224 -> 68737868757 -> 266121815750 -> 87402618054 -> 153734722163 -> 30121877096 -> 381008905494 -> 702576252933 -> 312778249639 -> 663455754727 -> 46643938119 -> 637966731686 -> 389716562182 -> 438308022086 -> 208353060834 -> 139878252068 -> 504850716485 -> 154222999317 -> 861391358216 -> 424467262231 -> 18245731347 -> 96680813175 -> 438308013894 -> 488623115445 -> 140154884245 -> 137994347684 -> 663489300967 -> 653968024005 -> 356008171892 -> 436131235654 -> 4876998775 -> 746259588214 -> 436408403365 -> 73369108004 -> 367184922853 -> 436148548406 -> 142104299075 -> 578978063414 -> 450006073190 -> 298709055301 -> 647908653687 -> 454342860645 -> 73628967059 -> 665859364934 -> 640631795270 -> 314727128934 -> 378866213127 -> 169476163622 -> 304995269877 -> 946128896295 -> 989342053621 -> 636017320950 -> 300869595958 -> 987637298567 -> 748420128871 -> 233874567236 -> 101018136166 -> 75250355190 -> 297247921720 -> 606399728166 -> 656127501781 -> 101243901159 -> 565120526344 -> 5120080613 -> 71140935236 -> 298709590839 -> 1281243062759 (9988875422, 98776544111) 381286065015 -> 142281334933 -> 351184701607 -> 98840282759 -> 785119716404 -> 381286065015 (987766653211, 9876665311) 371765319494 -> 594997187641 -> 946145137976 -> 597173438536 -> 381515022745 -> 83310502663 -> 73318780453 -> 165384040039 -> 353604553493 -> 285374420888 -> 288997428835 -> 853839724581 -> 502935379335 -> 579434911898 -> 998847076616 -> 736527725061 -> 46366247159 -> 303079401285 -> 365252285238 -> 140349236949 -> 849516790406 -> 652051096629 -> 571877709413 -> 406775611305 -> 32541728983 -> 433971766070 -> 328324802855 -> 206664563844 -> 77721613890 -> 394850192695 -> 918690462519 -> 920622572790 -> 594962586709 -> 934708000614 -> 367201168628 -> 157811127316 -> 98823509641 -> 704736262149 -> 314499769621 -> 865517551287 -> 168274876808 -> 306930827331 -> 367169212615 -> 303045850951 -> 351899275191 -> 930338190170 -> 647421431224 -> 16085722132 -> 84982230629 -> 704492129715 -> 592819350615 -> 636488289448 -> 561711875282 -> 167786599655 -> 668523892984 -> 775632525316 -> 32769632024 -> 300642240740 -> 16068940818 -> 492958308579 -> 999074444119 -> 1143626541991 -> 569490868232 -> 706913048580 -> 436148008773 -> 167332927525 -> 312778249640 -> 381042464021 -> 70947130355 -> 310618232232 -> 70897869781 -> 814718147110 -> 165155082311 -> 71629216488 -> 438080127236 -> 153474871300 -> 96680809079 -> 1002922414788 -> 433743343876 -> 98631822327 -> 435887634661 -> 158089345621 -> 422550866294 -> 356024425859 -> 354092311493 -> 565138366440 -> 75772722309 -> 338039369639 -> 920364308056 -> 355764562708 -> 101505350438 -> 69469738711 -> 665631997431 -> 585492687896 -> 789717417605 -> 408951862200 -> 422306198323 -> 353344179381 -> 365270121241 -> 16279531110 -> 298692282184 -> 773211079107 -> 337795220825 -> 379320944039 -> 861165049495 -> 638453950054 -> 354092834742 -> 365285843765 -> 156384071414 -> 85032549990 -> 916513680182 -> 424466730790 -> 314516542740 -> 16557217974 -> 326635242984 -> 355781348116 -> 153963144360 -> 287062390535 -> 367656435078 -> 103438519494 -> 633874084855 -> 222699398309 -> 1200615480166 -> 75510745684 -> 99344809782 -> 998602940085 -> 987165267188 -> 520868250486 -> 211017061538 -> 84982222439 -> 702332128691 -> 367168157926 -> 385606610791 -> 371765319494
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2008-12-27 19:03:39 | 显示全部楼层
N = 13 (1, 1) 1 -> 1 (8654443211, 8654443211) 564240140138 -> 564240140138 (8776553321, 9987753311) 5828489383133 -> 4742183281355 -> 1198979467193 -> 10924126545224 -> 2557569287957 -> 5942098024667 -> 5757852806222 -> 1310012484749 -> 3188713581734 -> 1844338057439 -> 3739693279199 -> 12916172647637 -> 2871783661172 -> 1416301657739 -> 2763056237813 -> 770880725213 -> 1391400972830 -> 5730446786657 -> 882182145458 -> 2201598895916 -> 8740611229415 -> 3202926283880 -> 4204197185423 -> 3189934293050 -> 8176645902026 -> 3228980563046 -> 3668789861156 -> 4341487353914 -> 3190004574176 -> 2750061058337 -> 759039131807 -> 5828489383133 (8776655432, 77665433321) 221192011997 -> 7722486519974 -> 5938570133021 -> 3190956850037 -> 5745881769866 -> 4426601887970 -> 3861411090872 -> 3751395871910 -> 5829710086259 -> 6295634411492 -> 5111276685116 -> 688268320790 -> 4314145279139 -> 5182045893623 -> 3656949870266 -> 5783908671521 -> 3850659179702 -> 5842769194142 -> 5744859221072 -> 3287975311586 -> 3850660774025 -> 772165340363 -> 221192011997 (98865543221, 9987665544332) 5759076689801 -> 6405584099531 -> 5650346085989 -> 6213095485028 -> 3656948275943 -> 5759076689801 (888876533321, 986544322211) 3106038875987 -> 4399195876595 -> 10830899644190 -> 8738305618832 -> 2310198454262 -> 3106038875987 (986544443211, 77763333111) 303734102532 -> 98183216073 -> 3751330357368 -> 759043906584 -> 5746014393270 -> 2750062660851 -> 688268328978 -> 5413656906915 -> 5126644551270 -> 126806741928 -> 3764454979794 -> 7930815943128 -> 6281423303670 -> 672838120545 -> 1211971458021 -> 3189798481002 -> 6829956820110 -> 6210585391977 -> 5842769194143 -> 5744860807203 -> 1307706865974 -> 3409699467783 -> 8395390114095 -> 8177865002637 -> 1417522352670 -> 209348848845 -> 4742312716113 -> 206976137592 -> 5304853379337 -> 3287916149760 -> 5853455590773 -> 3291573476166 -> 2776116940020 -> 2761832362425 -> 674057245731 -> 306304951731 -> 2653108127712 -> 757816850745 -> 1406968571253 -> 3217142158287 -> 1294579079481 -> 8370486248736 -> 1869304265076 -> 3228982149177 -> 6377090033013 -> 2748710920452 -> 3286754608461 -> 1236939243600 -> 5109924952908 -> 10719727658703 -> 3493460683503 -> 3119104328394 -> 5633626479438 -> 3229052446686 -> 3132160264017 -> 123080712336 -> 659710317666 -> 2789108922657 -> 6391302726966 -> 5232866648160 -> 1153043826537 -> 662218824588 -> 2226432480150 -> 564173055849 -> 3205369268067 -> 3228916642827 -> 3764456590500 -> 2668674148194 -> 3777649883346 -> 3958304876055 -> 3755059567413 -> 2753657653170 -> 320453725467 -> 209417543838 -> 3739624584204 -> 3202996581387 -> 6294416897013 -> 5756633689230 -> 3230138932083 -> 3641385444105 -> 565529538258 -> 3660543276453 -> 138651507594 -> 3205302159204 -> 2544377556666 -> 249818726496 -> 6306387916986 -> 6332378259552 -> 3205238263560 -> 578323415715 -> 747266249781 -> 3408544295583 -> 3645244088910 -> 3655861782354 -> 1226254441293 -> 2556350179155 -> 2657920650894 -> 5759006400483 -> 3204148564941 -> 3106173077331 -> 303734102532 (987776544321, 99887653332) 6294418483143 -> 3654709782417 -> 3396705890823 -> 6294418483143 (988776544331, 988755444332) 3740912396192 -> 7735617503306 -> 319234608473 -> 3201710355530 -> 100555910945 -> 5088681578024 -> 2311481483282 -> 1649404872617 -> 3311722385849 -> 3739559077856 -> 5940880493804 -> 6734422722362 -> 220036856180 -> 1126855329641 -> 3120253156073 -> 112395910028 -> 5634709784381 -> 3849574280435 -> 3740912396192 (998865532221, 987766431) 3311589754251 -> 3192243067704 -> 2748841965918 -> 6844303731792 -> 3298599365937 -> 10829615029038 -> 6197526292284 -> 5757785713743 -> 1037933272809 -> 5827270290714 -> 3383576510004 -> 662218816395 -> 3681781851987 -> 4948950096162 -> 8202829615953 -> 6198747003600 -> 3311589754251 (9877776443221, 997764433222) 5290707802438 -> 3836444899615 -> 6210789890830 -> 6842950405261 -> 3120318670612 -> 672769417360 -> 2871783652978 -> 4496083309063 -> 5659747859275 -> 5942165125339 -> 5100524773945 -> 2739441778762 -> 3492374206297 -> 5290707802438 (9977776554332, 88665544421) 1128275756843 -> 1308860468429 -> 4217390478269 -> 5840462013812 -> 1113928853354 -> 3643890762383 -> 3764461348892 -> 3764592377975 -> 5486860104254 -> 1128275756843 (9986543332211, 98777665544) 3410985685448 -> 4206838291175 -> 3752616583226 -> 688271525816 -> 1774719262739 -> 5484417111875 -> 1295932381436 -> 5647840775906 -> 3410985685448 (9998887765432, 999988555432) 11270705761846 -> 867832053325 -> 1211907537802 -> 3286621976866 -> 3803571547300 -> 746047132786 -> 866680053385 -> 1690894118608 -> 6759187595221 -> 5843988311137 -> 4289314875361 -> 3752685278221 -> 1308793375948 -> 6378313900207 -> 3298465148209 -> 6197660510011 -> 2679157623913 -> 5304854973661 -> 3217210853281 -> 1197624554533 -> 2655615056695 -> 2600212128211 -> 562816548868 -> 2240713860907 -> 3298529076619 -> 8299586011147 -> 6294480809041 -> 6196505313235 -> 2571654116899 -> 5759006392294 -> 7738057315231 -> 842869042522 -> 3655793103742 -> 2751217849435 -> 3287976897718 -> 7133617436482 -> 769794231625 -> 5304920488201 -> 3642733987666 -> 3337714339120 -> 2735718937816 -> 3946329081307 -> 5743509074995 -> 7823173427227 -> 937382185795 -> 6379465908337 -> 5854679474350 -> 3302325387337 -> 744764120149 -> 2748972986809 -> 9481770766729 -> 6047232017263 -> 219969730933 -> 10277417808901 -> 3932111604385 -> 3105974939386 -> 8286595598257 -> 6847831631629 -> 3777518854264 -> 1405816579507 -> 3302189575288 -> 4290466891681 -> 6222559592404 -> 5100588710545 -> 1201350559549 -> 5088683180539 -> 4756394372794 -> 5388884608450 -> 2764416981757 -> 3409764990517 -> 7833792714994 -> 8466157744663 -> 797200234807 -> 3382357393009 -> 5731605163885 -> 1226187324238 -> 1209531662479 -> 5208031477795 -> 3384798791068 -> 6939908110663 -> 8214538569571 -> 3755057981284 -> 3838886297674 -> 4960858798429 -> 9386169560119 -> 8215757678374 -> 1502638481050 -> 1115082439423 -> 3092979768103 -> 8382195210544 -> 3643954690792 -> 7749966001117 -> 5400587184778 -> 1942510096864 -> 5660963787625 -> 3340085447860 -> 1210886550562 -> 1129295141569 -> 7641166710505 -> 235468617979 -> 5854676293897 -> 6405652810909 -> 5662117381885 -> 1774720848871 -> 2036957709214 -> 5291859794185 -> 8825727349603 -> 3849507187954 -> 6379598523550 -> 5748323184307 -> 1294649360605 -> 5124270262075 -> 209347262713 -> 2748774865246 -> 1417722093130 -> 2735714163040 -> 208196832523 -> 3655662066469 -> 2622740110054 -> 111304649854 -> 3106105960276 -> 2679159226426 -> 5221090593871 -> 5732819497912 -> 8370420742387 -> 1390316081755 -> 3204015941539 -> 5086310477476 -> 867900748318 -> 4398040688011 -> 4204329776062 -> 2761901073802 -> 3298461967756 -> 5867736987913 -> 6501255595459 -> 5104183686481 -> 1676745344875 -> 869188560307 -> 4315365965881 -> 3671231251024 -> 111240729637 -> 2748773262733 -> 950444465941 -> 5099569301245 -> 7642388999758 -> 9482993055985 -> 11270705761846
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2008-12-27 19:08:11 | 显示全部楼层
N = 16 (1, 1) 1 -> 1 (9776654332211, 9988888553322221) 5113720523393799 -> 5625831775793933 -> 4090493191954893 -> 9546741479855818 -> 4620222927456073 -> 1925289491005573 -> 5874230575652746 -> 387434972909256 -> 5909983778362568 -> 6475898839581833 -> 5149778901622729 -> 5943212327936969 -> 7451112917986570 -> 4090344726844683 -> 2454866853653124 -> 571884017941958 -> 4617244934690697 -> 5634006980398535 -> 4275094738719240 -> 4087379662093448 -> 4341111383139974 -> 4020761342072716 -> 105349644701638 -> 2173535874832967 -> 2518799643909194 -> 9582791182384394 -> 6436879691306825 -> 4313664670341319 -> 1894729506232585 -> 4305506473484552 -> 318156634778375 -> 668600564833738 -> 889099312329477 -> 8041500951159689 -> 6125293688523465 -> 2424895616924743 -> 4026560315801990 -> 3993467088090055 -> 6158374117295880 -> 2767041603891273 -> 2239840558278024 -> 2730991858578117 -> 4650469318437963 -> 4029377216638984 -> 4341107088238215 -> 877819124751303 -> 2515825902998858 -> 6685570825157256 -> 638642083867080 -> 1167600548260867 -> 640857137113797 -> 2270404966699723 -> 5633998390595014 -> 7696839029804811 -> 6442364985151559 -> 3993780853805897 -> 6751731639458762 -> 2242966843901194 -> 5846190691226310 -> 3996135610172423 -> 3745072540217354 -> 100169526507081 -> 2173675491793799 -> 7547990556610125 -> 3778763105253130 -> 384300226360587 -> 601982115934981 -> 6124988555854473 -> 2734122439037512 -> 1919647357218569 -> 5912953138081099 -> 7975335970768907 -> 6009826567896332 -> 4313660375439558 -> 2173836841740362 -> 635066753581255 -> 323934262614729 -> 3744924247425095 -> 3772832932703943 -> 4087218656520650 -> 605108272483525 -> 599466095780870 -> 6194428071679495 -> 5912809097078344 -> 6188637602053512 -> 604951475719047 -> 3808878340003081 -> 1440612238230341 -> 284309100856774 -> 2485418334257286 -> 880797117582214 -> 2797300793681608 -> 4374331428807688 -> 1195199891996870 -> 11717277714900044 -> 2019197726667274 -> 3847439724868360 -> 2769566214045510 -> 1895182802881351 -> 3260700291364168 -> 2176195807046278 -> 2521468036785863 -> 886430747396998 -> 6475602253669639 -> 3753688414783623 -> 916694361163720 -> 3750562129029384 -> 4023878951929992 -> 9861440754351369 -> 4026708651575433 -> 354049497430216 -> 3742264272099527 -> 3808721500519559 -> 4302833656369354 -> 2143272476299848 -> 4338290230382406 -> 2418800014498693 -> 4553299345757253 -> 3773277897501836 -> 2585108622124939 -> 4272120955089863 -> 4305353885593927 -> 4302838080476811 -> 1161962623413253 -> 1861640530768905 -> 2457975916360391 -> 5631478204417163 -> 353748616616264 -> 328974720801734 -> 2515677610141063 -> 75238704722377 -> 447796598706632 -> 4095838696782983 -> 6723992592799559 -> 11187865911072908 -> 4619904866838474 -> 4592178791043525 -> 4054447612337802 -> 350931801741638 -> 2452181194748297 -> 4335621665253320 -> 8925560745032 -> 2171011307856518 -> 632542143361482 -> 287282798654854 -> 3048520832653573 -> 599466224855496 -> 5849469521693382 -> 6127966591732104 -> 3781126494600969 -> 5882240436604999 -> 6127818255762053 -> 635515841290632 -> 2140599530241096 -> 5562195485356616 -> 2146546882725001 -> 602138869718277 -> 2802786173685319 -> 2769705874053064 -> 2240149985914311 -> 5840701059236489 -> 4305358180430151 -> 563416436167945 -> 1897855705827848 -> 3360555922818632 -> 2422070255096712 -> 1922616630974726 -> 3783795016683335 -> 2488383614242123 -> 847259054343621 -> 2170867352947207 -> 2270404923849608 -> 4305057299747268 -> 4090349064924232 -> 5561898942622213 -> 4274942064997319 -> 7481384949501000 -> 4302388777533831 -> 944280819997834 -> 8289751544123079 -> 4335770001157833 -> 381483411354891 -> 2697610720916489 -> 5915469029226119 -> 7418032446167433 -> 353600366739655 -> 1897995494910025 -> 9580122617320842 -> 2452181108916998 -> 6406463489583944 -> 4277627809667909 -> 5981934890365319 -> 7978161418624843 -> 2769566127952071 -> 3814507675112713 -> 384304435234443 -> 281653549704198 -> 4305358180430152 -> 563416436233480 -> 290103951477958 -> 5907310918266186 -> 4310839222419848 -> 4550478279027590 -> 4087680499860680 -> 4873645134772867 -> 701689454466120 -> 2176356898712517 -> 2521616372755914 -> 1925590371688458 -> 4586981450064137 -> 2455163396387527 -> 2207065434427018 -> 350927463793157 -> 3808869879274187 -> 5215939500952775 -> 5626289410325644 -> 2143276599211333 -> 3742251473422155 -> 66936596068553 -> 4002078753716935 -> 2237324624086281 -> 601833780161540 -> 601982072757191 -> 4090187844052297 -> 4335621665187782 -> 638188701255944 -> 2733812968288967 -> 4904048451790471 -> 4054155278280647 -> 632707573172806 -> 420201592919112 -> 5559217449675592 -> 5629119067120971 -> 5631321235531338 -> 284754108701388 -> 1192526988919302 -> 7978004449870089 -> 6503197173298182 -> 4338429976286794 -> 6194131572057351 -> 1922769304696652 -> 5603734862856199 -> 4310996148324488 -> 4553303683771270 -> 384304521327882 -> 877819167863558 -> 3084566326046153 -> 293073311262022 -> 1889074358796743 -> 4653146473370569 -> 1928267569536713 -> 4062749807281674 -> 2521324038829829 -> 4550622277114694 -> 1925446330685703 -> 2173684210868552 -> 883609594508358 -> 4835223539186375 -> 2452486413707338 -> 632402526531719 -> 1892204896274952 -> 6158225738541254 -> 599622978638792 -> 8047291420916744 -> 4056819505461254 -> 2140760621907335 -> 1925285238888392 -> 5113720523393799 (98865554331111, 9996654333222211) 5564859798630665 -> 4314122390900936 -> 5561890395668808 -> 4840861420987271 -> 2766744975063429 -> 3814368015105159 -> 2419253396913226 -> 5564859798630665 (99888887554321, 987777666555431) 2276352319249162 -> 3745072497367240 -> 1988938580054728 -> 5146957705687367 -> 2276352319249162 (998877643333211, 998877643333211) 4338281769391370 -> 4338281769391370 (9887766543332211, 8865555443332222) 566390134228167 -> 2176348394936903 -> 5879419455837705 -> 4369308107377611 -> 2239840601193674 -> 4026399180957959 -> 9582939475307722 -> 5940543892013578 -> 4302689701460041 -> 2173383243961157 -> 2203939191785035 -> 5874073778888267 -> 1576517572278919 -> 4123725950403148 -> 2168046243039752 -> 2173531580062278 -> 632542186539272 -> 2173679873051143 -> 2237172079242379 -> 3838976481370505 -> 2767041689919177 -> 5979113780392330 -> 5907154164548428 -> 2452499126356807 -> 4026704313758023 -> 350923254853767 -> 2204244324519561 -> 1856163697718598 -> 4625699717525194 -> 5631635001247178 -> 353892614572297 -> 4057111882499593 -> 6155557259374538 -> 2204702045079180 -> 2201122204723525 -> 33542444823622 -> 284465983780228 -> 3015135357240068 -> 317991205032585 -> 4021206134880330 -> 565779782534597 -> 4123882876242251 -> 880640191808645 -> 2984723493334596 -> 5876755228853705 -> 947707814379145 -> 4120612592531978 -> 4023878908883273 -> 3326865357782854 -> 916995198996488 -> 11968345165915849 -> 6128119136444939 -> 5846190734141961 -> 4026556020638089 -> 2424742985921860 -> 4305209844656709 -> 4026708608594246 -> 2457831875488707 -> 1259145437949128 -> 5874086577696714 -> 2557678959989768 -> 8362304460800458 -> 850232708898371 -> 3045538630948807 -> 2733813054316871 -> 632393979578314 -> 5909979569423179 -> 11187717618018508 -> 1228572396349514 -> 4023883246897289 -> 4868003001248005 -> 847407260976899 -> 6227360121500678 -> 356556798706182 -> 2491357139918856 -> 6158374117361419 -> 2206764510435275 -> 72574477803911 -> 2267588108778377 -> 1295038300666504 -> 2143268052192390 -> 3990493433535303 -> 5559374633598412 -> 4024188465594187 -> 2733821515176838 -> 914017206231114 -> 1889082862441288 -> 3544699749154435 -> 5595593931634378 -> 5877204402459917 -> 4087532206937352 -> 2204091736694472 -> 3778161386803014 -> 916537435193544 -> 3742565195894667 -> 4062910941994633 -> 7417735946283144 -> 2237184921097545 -> 4054295024512713 -> 1886723811238536 -> 1164927774389000 -> 4090043889077448 -> 4616948391890757 -> 6194279821802889 -> 6721018809039110 -> 4305044414714312 -> 33411374422983 -> 2167741153351944 -> 1922625306740619 -> 3747893564096903 -> 5912804931185673 -> 4305353928509578 -> 4302838037430090 -> 2449211835029766 -> 4026551725867399 -> 4060085537185417 -> 632703321121160 -> 38875279721288 -> 3078771518537223 -> 696186980752203 -> 4310839222485382 -> 2697606426211334 -> 1897546235275910 -> 4057264427277962 -> 1991759603999814 -> 11435807076203404 -> 350927506708807 -> 2518795262782919 -> 6191602667066889 -> 4319149921204869 -> 7696389770105160 -> 4095830106782857 -> 2767041603891271 -> 2239840515231304 -> 2134809060615112 -> 2140294311413127 -> 1886266090613385 -> 2708882232663238 -> 1164775186694980 -> 4344080699811784 -> 4586536571228614 -> 605112610497543 -> 1892209148064456 -> 4274798023863493 -> 4338290316344775 -> 2203947781654089 -> 4338438523174663 -> 601990791897480 -> 8044321974842632 -> 2452041448909445 -> 3987846300130437 -> 2485265875441288 -> 1162424596090053 -> 3711996406412231 -> 3744924204247305 -> 1919660199008198 -> 9833693117495433 -> 5876750976802060 -> 2524437439551110 -> 1886723854219722 -> 2766889016197255 -> 4344224697898888 -> 5149486524780996 -> 6161203731110023 -> 38875279655753 -> 2519100481610890 -> 4271968323955911 -> 5876899140716299 -> 8047295672706249 -> 4093017543959878 -> 6188790232925322 -> 4305197045913799 -> 7478860468355852 -> 1198474384515462 -> 2452346581512904 -> 2137786967287047 -> 2587781353081160 -> 914017163118857 -> 2485414039224458 -> 2416296836134213 -> 2142967214556231 -> 1892209148261064 -> 4274641141071109 -> 1922324339833224 -> 3987524159910216 -> 5876899097669578 -> 8364972982751753 -> 4371819789714314 -> 4368702093829131 -> 4305048795840584 -> 2731153036141190 -> 1889231241392523 -> 4269147343385225 -> 2170867396059464 -> 4062605766213383 -> 326149359039238 -> 5843513708349513 -> 2449669598636107 -> 5885214134403079 -> 2449521219684872 -> 4305209844656710 -> 2173688419742406 -> 2488091151306950 -> 4272120954893256 -> 4023883203916103 -> 2418795719465863 -> 4341412220907209 -> 3739286236484038 -> 2736329031620870 -> 2206603375853383 -> 602130494951752 -> 3742408227074376 -> 417240780088454 -> 911060559096516 -> 5567981659949769 -> 9621967170470603 -> 3814206837214408 -> 880491941735429 -> 6155408966451208 -> 2424899825667526 -> 4311000357394949 -> 5592459099057802 -> 7727403309348489 -> 4368702136941384 -> 2454858306765255 -> 602596676371335 -> 1931075794607817 -> 4123425112504843 -> 281797418651143 -> 2485418334257289 -> 2730996196526599 -> 9307102423510218 -> 2167885065280072 -> 916838187063941 -> 4589344839280904 -> 6403655350606278 -> 326454491708230 -> 2170714765056582 -> 387278047004616 -> 668299597991877 -> 9933544497160394 -> 7448304692784394 -> 4338298863167110 -> 2736324693541320 -> 1892056689445064 -> 4277771721596037 -> 2055395808212619 -> 4272269247947656 -> 3814367972189510 -> 4338434271188554 -> 877980345557704 -> 2549368261204745 -> 2173688419873478 -> 3081448673404296 -> 2454862558685829 -> 2985181257203077 -> 2515974153006537 -> 1922921892587275 -> 6188781557224969 -> 4622882859669384 -> 4840564835337220 -> 599322183852742 -> 4302532818798728 -> 3045542925981639 -> 5843823093004617 -> 2452185489781127 -> 2764224746035464 -> 75103296832004 -> 2170706175121990 -> 3808712867341642 -> 916541687245190 -> 4026704270580232 -> 350923168891396 -> 6127805456888073 -> 1198317501657542 -> 2204244238360587 -> 599169553046468 -> 5849465269641736 -> 4032350828409159 -> 4269304183065351 -> 2140451280298952 -> 4269304097102982 -> 5876598216921158 -> 4589798222023113 -> 4302380230908104 -> 2415978861478981 -> 4901388433483720 -> 2730691106707719 -> 3844614362909258 -> 4274798109956934 -> 7763008219069449 -> 5912652257267143 -> 1925590371753993 -> 7479004509424142 -> 3772680301701062 -> 386816074458887 -> 1479644185379333 -> 4056967970440395 -> 5631486751239496 -> 4029525466581129 -> 3993623928032327 -> 5876589799238985 -> 8607725440080778 -> 980338940208581 -> 4832097253563206 -> 2173679916032327 -> 3811381518564170 -> 880788527451018 -> 1474150215506566 -> 42315201854600 -> 284609895511749 -> 6158378326235272 -> 635363339558984 -> 4275094824812682 -> 2733664632515524 -> 42162743235208 -> 317690281368517 -> 2488230897276873 -> 3081444378568070 -> 913877460064582 -> 2488239444164742 -> 2452049995797316 -> 7481681535347658 -> 916999450785993 -> 11435959664094027 -> 5598253820735433 -> 2449817891690506 -> 6161046848252103 -> 571574504146693 -> 1925598961426441 -> 5846495823895304 -> 4553757152475847 -> 415182566456331 -> 290404746198472 -> 4056819505461253 -> 2140756369986760 -> 4065422581153543 -> 284919409307016 -> 5876598216790087 -> 4656111495206152 -> 1861949872311752 -> 4338434228207370 -> 629428871845894 -> 4868159797946949 -> 9900324451427145 -> 3739595707101512 -> 3806197019243341 -> 4023578114031689 -> 2452185446734408 -> 599330687693893 -> 8014058619290698 -> 6409284599425862 -> 6127970800671493 -> 4092860704017608 -> 2488086813227396 -> 3017799627336325 -> 3811534149435979 -> 5874086663659084 -> 2742276297945797 -> 5728207507398345 -> 2516131078845641 -> 602138912633928 -> 4274632680276679 -> 2245487030079045 -> 2201279130562630 -> 1892048013482567 -> 2733660380463878 -> 919358588213254 -> 4550927452699337 -> 5628813977433162 -> 2488235235356425 -> 566390134228167 (9988776433332111, 9988776433332111) 4338281769391371 -> 4338281769391371
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2008-12-27 19:17:09 | 显示全部楼层
当N <= 8时用32位运算,都是1秒内返回数据 9 <= N <= 16则需要几秒了,因为需要64位整数了 N > 16则需要长整数支持了 估计应该在分钟级
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
 楼主| 发表于 2008-12-27 20:16:12 | 显示全部楼层
N = 17 (1, 1) 1 -> 1 (7776554433321, 88777766533221) 5468738200204392 -> 21431136058334043 -> 2269541598022551 -> 35626158810669096 -> 37944122332104801 -> 19161663954760284 -> 35907297793247268 -> 53231574006074370 -> 716378827602537 -> 5468738200204392 (75433332211111, 75433332211111) 233411150132317 -> 233411150132317 (99876655553322, 99876655553322) 35875699062250035 -> 35875699062250035 (99887776544311, 98877666555444331) 21699162949592941 -> 100097740816473598 -> 38573578656441649 -> 21699162949592941 (987665543332211, 999887766655211) 55052711611716149 -> 17178602044890092 -> 38340185074123298 -> 23666009341583648 -> 21249285651559064 -> 35643102649851944 -> 35641611388702244 -> 4770898197850325 -> 40809197570397173 -> 53214647346236420 -> 284242539064982 -> 37875704294873498 -> 41041099633809785 -> 54785499457273967 -> 53233134115316681 -> 2287196837182046 -> 23931712796988764 -> 55266907025632952 -> 33640825779131504 -> 19412729826967148 -> 55034293433365676 -> 16962916015917614 -> 50332662370219244 -> 16944463219679519 -> 66992951899319606 -> 102383359718187968 -> 42844513668497969 -> 54819387006892715 -> 40593493715854703 -> 36073764986380217 -> 21929470414753640 -> 33837382875084458 -> 11725820851736996 -> 38358603381876080 -> 11526246357316697 -> 17211692682737834 -> 21912543626430887 -> 21448062717778781 -> 7935513030437030 -> 17143986432117233 -> 19411204077332135 -> 17143240414515113 -> 234225370781597 -> 19628416372762415 -> 19445819948385314 -> 56788539396718766 -> 40876887157316024 -> 7487941730369567 -> 36571336145328506 -> 2537516820926948 -> 38125990047889127 -> 57252985816754483 -> 23917855075094639 -> 52767838856744063 -> 7505631458407589 -> 21666055261147247 -> 534527904791195 -> 50499129434343101 -> 50032377145481132 -> 2718621467986916 -> 38390947872588323 -> 42827604318193649 -> 38124498657730337 -> 21896397344326640 -> 35889625632629987 -> 57071881169956658 -> 40628092665056882 -> 23501830837669907 -> 38357840700572207 -> 5435665000637228 -> 2537516562777692 -> 17660772681842360 -> 5269215116382554 -> 18965903899456355 -> 71249248940888255 -> 42595770586968356 -> 38377073099965175 -> 53232319894405259 -> 52285668478596404 -> 23718331991272799 -> 69658418542126853 -> 23485684426556573 -> 4790113675654433 -> 17177873852464748 -> 7936293278768429 -> 55266907025764022 -> 17195528704728038 -> 24132015870861677 -> 5236124736946208 -> 19213189563538268 -> 40145142425867240 -> 2502968765762579 -> 36357123552066806 -> 2554426171493408 -> 19180133414569055 -> 35625413308841195 -> 21200031552131108 -> 2253325951265045 -> 16697940495050729 -> 67209401384305853 -> 21431899126665188 -> 40161323067447710 -> 731796658870046 -> 21930233095795367 -> 50515259182147904 -> 35841879844818608 -> 30438352363410842 -> 4521341411838869 -> 23450322537639128 -> 19180082262644135 -> 21215432074651412 -> 251134721610200 -> 250337422287635 -> 2735530947824609 -> 36089911397624624 -> 52566790023287210 -> 19429621868786405 -> 40393970632163936 -> 50314973417022194 -> 33820439164910702 -> 35855755133871332 -> 4972675998442424 -> 52766381439296366 -> 35924207531234216 -> 16928299499687909 -> 121510372538044487 -> 4970438332401185 -> 21414226707636512 -> 516838435164569 -> 21233884741749344 -> 21646128642040034 -> 2302648641029573 -> 19196262904093532 -> 66743360495551601 -> 16979842287810791 -> 57501779921593139 -> 67408907417398673 -> 38822373019560629 -> 38125210186847144 -> 7005771222950675 -> 17626919233812725 -> 36106040758140014 -> 2519098254762770 -> 36322524473593394 -> 33605498637372914 -> 36106075375765490 -> 17428159476471284 -> 21896431187635430 -> 21448062846656801 -> 6823920558157511 -> 21433390387683818 -> 25933955953540577 -> 50501401331113616 -> 35396765085401 -> 19197771602737382 -> 36786242700941630 -> 19445057137941278 -> 36305632302765047 -> 517584581906852 -> 23685207251967014 -> 19429639048524518 -> 54553648933731050 -> 19181625320895281 -> 40128215508273251 -> 4738536269250716 -> 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-> 35624650240510049 -> 16713375505925276 -> 17411978576872634 -> 22145954130338096 -> 35624650498790375 -> 36107600996391413 -> 50314973158610798 -> 38341694031178547 -> 21663783880937384 -> 26183512997832356 -> 38125973126300270 -> 19411932528037799 -> 69426568018190720 -> 38142153638609504 -> 21216195272122718 -> 19411932141010529 -> 50032342527593513 -> 16912881668289329 -> 59089524461608289 -> 56822358097851686 -> 25970080394490659 -> 69211644153699320 -> 50083122635067881 -> 7023409411381145 -> 19162426764811103 -> 19212426494813912 -> 52300323241401698 -> 18946705859801753 -> 40594256655176756 -> 17213998422554993 -> 69194717623656893 -> 52817092956172022 -> 36089876779999148 -> 90873070109249030 -> 52748623378939952 -> 55018875860378492 -> 26168874769326506 -> 21731455900959776 -> 50748669427905860 -> 38375564271787946 -> 22146717198931382 -> 38340168152665514 -> 4556703042213848 -> 4754734477858712 -> 5668346924960753 -> 35908060861840553 -> 23468740716120671 -> 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21897142587612075 (9887777665544322, 999776642222211) 50530676626388139 -> 21482644745261028 -> 4770915119701326 -> 34069961849333043 -> 52317250416882795 -> 21665275142218155 -> 2521352584767903 -> 19413475457673069 -> 34087685936978361 -> 40626584353440303 -> 2287248247649430 -> 21663037863597402 -> 19445803026665382 -> 21233121802558362 -> 4522052553797334 -> 17145529233005556 -> 16930571008775793 -> 36555138065598528 -> 23471012354741934 -> 17143274774253480 -> 3183153787106409 -> 21663749521199016 -> 50315735840045742 -> 2720164397491113 -> 33836585705033130 -> 4755446394002793 -> 33838145943546672 -> 21448843095119271 -> 38091408149153829 -> 56787742097658345 -> 22147480009244343 -> 19161698185358487 -> 42629589674866410 -> 38159114657792607 -> 36339451261916151 -> 33406686823994346 -> 37925721720781854 -> 22112846571294708 -> 21663766314171999 -> 50564530203033651 -> 36922773262881 -> 21679895932705566 -> 52801674866755260 -> 5038873291614558 -> 23684444570794215 -> 19412781108425445 -> 21415006439669406 -> 33422884645443996 -> 37892665572074784 -> 22146717069922290 -> 50530676626388139 (9986655444332211, 9986655444332211) 35641594208964132 -> 35641594208964132 (9988665444333211, 9876654333222211) 19196245853495584 -> 54555174812506228 -> 4757005858199650 -> 38343219651804469 -> 37892631212205346 -> 19196245853495584 (9988766555444321, 88887776664433211) 9755905393186589 -> 71464935615561542 -> 16963695618679274 -> 52834019486476595 -> 38126787346818476 -> 9755905393186589 (9988776643322111, 9998877775433111) 55466447159921669 -> 50334222608863859 -> 23467977906200924 -> 50763324449122547 -> 17160964244142248 -> 19195551245967635 -> 50301860938282433 -> 23450288436312155 -> 4522849852726682 -> 23700625212898970 -> 38340913783240361 -> 21430373506039265 -> 16945209108141479 -> 52533716565308651 -> 2539025390823851 -> 37860252232876715 -> 5236870625932454 -> 19197788782999781 -> 93323629809153740 -> 52533682722262004 -> 2519826964404119 -> 52318012710897251 -> 21647568363451112 -> 2536770803193755 -> 19646088920669111 -> 54602868544149407 -> 21448876938296987 -> 59537893189745261 -> 55019638670429312 -> 35874190363212971 -> 36089131407442481 -> 21430407478357145 -> 2951286212441255 -> 18948231351549659 -> 54554394822324083 -> 21183139252686881 -> 25718997471423704 -> 36537499877430200 -> 36321779101167797 -> 34551369546570047 -> 17179399602230834 -> 52765550167655924 -> 17197817522825270 -> 22112829262416434 -> 18962886501775439 -> 40610420375299439 -> 50281917010034798 -> 38324004303271595 -> 19163172782806439 -> 38357094811979177 -> 55466447159921669 (9998866554433321, 8877655555555441) 4991925190153015 -> 66711032926166074 -> 17227093334136157 -> 17392780537218034 -> 21879453376003630 -> 19428876496229737 -> 55266924076493044 -> 33639368619439846 -> 54602886369588331 -> 25736704379068765 -> 19911826864821685 -> 42413122751992795 -> 50498366495283193 -> 54570558671455855 -> 4991925190153015 (98877766554432211, 998865555543211) 37878721692554416 -> 21914086555935085 -> 37878721692554416 =================================================== 不确定N = 18下是否存在19位的可能 另外,N > 25,似乎内存就不够了
毋因群疑而阻独见  毋任己意而废人言
毋私小惠而伤大体  毋借公论以快私情
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