kyleaskine

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Mar 28th, 2026
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  1. Sat Mar 28 19:21:10 2026
  2. Sat Mar 28 19:21:10 2026
  3. Sat Mar 28 19:21:10 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Mar 28 19:21:10 2026 random seeds: ff9c2b0d f2cacc6c
  5. Sat Mar 28 19:21:10 2026 Using 8 OpenMP threads
  6. Sat Mar 28 19:21:10 2026 factoring 1056755772136321495278461955665985073750339384824404929533708563642742540449018663939336465522074883620869875371307178431802797955399477427381608528227408132420488871 (166 digits)
  7. Sat Mar 28 19:21:10 2026 searching for 15-digit factors
  8. Sat Mar 28 19:21:11 2026 commencing number field sieve (166-digit input)
  9. Sat Mar 28 19:21:11 2026 R0: -111965055020560195727142922785300
  10. Sat Mar 28 19:21:11 2026 R1: 169710505248798320263
  11. Sat Mar 28 19:21:11 2026 A0: -35588447594796050669856994609958482303
  12. Sat Mar 28 19:21:11 2026 A1: 13924592000436595954842861213388
  13. Sat Mar 28 19:21:11 2026 A2: 27143126489283067913658423
  14. Sat Mar 28 19:21:11 2026 A3: 15383326070912752418
  15. Sat Mar 28 19:21:11 2026 A4: -2115628528034
  16. Sat Mar 28 19:21:11 2026 A5: 60060
  17. Sat Mar 28 19:21:11 2026 skew 1.00, size 6.272e-16, alpha -6.099, combined = 6.425e-15 rroots = 3
  18. Sat Mar 28 19:21:11 2026
  19. Sat Mar 28 19:21:11 2026 commencing relation filtering
  20. Sat Mar 28 19:21:11 2026 target densities: 80 100 120
  21. Sat Mar 28 19:21:11 2026 estimated available RAM is 78540.1 MB
  22. Sat Mar 28 19:21:11 2026 commencing duplicate removal, pass 1
  23. Sat Mar 28 19:26:05 2026 error -1 reading relation 104288048
  24. Sat Mar 28 19:26:57 2026 error -1 reading relation 123094871
  25. Sat Mar 28 19:27:26 2026 skipped 41 malformed relations
  26. Sat Mar 28 19:27:26 2026 found 22454131 hash collisions in 134148101 relations
  27. Sat Mar 28 19:27:40 2026 added 121568 free relations
  28. Sat Mar 28 19:27:40 2026 commencing duplicate removal, pass 2
  29. Sat Mar 28 19:28:43 2026 found 22249314 duplicates and 112020355 unique relations
  30. Sat Mar 28 19:28:43 2026 memory use: 788.8 MB
  31. Sat Mar 28 19:28:43 2026 reading ideals above 720000
  32. Sat Mar 28 19:28:43 2026 commencing singleton removal, initial pass
  33. Sat Mar 28 19:40:29 2026 memory use: 3012.0 MB
  34. Sat Mar 28 19:40:29 2026 reading all ideals from disk
  35. Sat Mar 28 19:40:42 2026 memory use: 5077.6 MB
  36. Sat Mar 28 19:40:51 2026 keeping 115419777 ideals with weight <= 200, target excess is 601828
  37. Sat Mar 28 19:41:02 2026 commencing in-memory singleton removal
  38. Sat Mar 28 19:41:04 2026 begin with 112020355 relations and 115419777 unique ideals
  39. Sat Mar 28 19:41:24 2026 reduce to 51861859 relations and 46786632 ideals in 17 passes
  40. Sat Mar 28 19:41:24 2026 max relations containing the same ideal: 125
  41. Sat Mar 28 19:41:52 2026 removing 7103824 relations and 6103824 ideals in 1000000 cliques
  42. Sat Mar 28 19:41:54 2026 commencing in-memory singleton removal
  43. Sat Mar 28 19:41:55 2026 begin with 44758035 relations and 46786632 unique ideals
  44. Sat Mar 28 19:42:03 2026 reduce to 44027999 relations and 39934718 ideals in 11 passes
  45. Sat Mar 28 19:42:03 2026 max relations containing the same ideal: 109
  46. Sat Mar 28 19:42:27 2026 removing 5341709 relations and 4341709 ideals in 1000000 cliques
  47. Sat Mar 28 19:42:29 2026 commencing in-memory singleton removal
  48. Sat Mar 28 19:42:29 2026 begin with 38686290 relations and 39934718 unique ideals
  49. Sat Mar 28 19:42:36 2026 reduce to 38192149 relations and 35087783 ideals in 10 passes
  50. Sat Mar 28 19:42:36 2026 max relations containing the same ideal: 102
  51. Sat Mar 28 19:42:57 2026 removing 4794193 relations and 3794193 ideals in 1000000 cliques
  52. Sat Mar 28 19:42:58 2026 commencing in-memory singleton removal
  53. Sat Mar 28 19:42:59 2026 begin with 33397956 relations and 35087783 unique ideals
  54. Sat Mar 28 19:43:05 2026 reduce to 32945349 relations and 30830061 ideals in 11 passes
  55. Sat Mar 28 19:43:05 2026 max relations containing the same ideal: 92
  56. Sat Mar 28 19:43:21 2026 removing 4514760 relations and 3514760 ideals in 1000000 cliques
  57. Sat Mar 28 19:43:23 2026 commencing in-memory singleton removal
  58. Sat Mar 28 19:43:23 2026 begin with 28430589 relations and 30830061 unique ideals
  59. Sat Mar 28 19:43:27 2026 reduce to 27973744 relations and 26846156 ideals in 9 passes
  60. Sat Mar 28 19:43:27 2026 max relations containing the same ideal: 83
  61. Sat Mar 28 19:43:42 2026 removing 2240909 relations and 1811442 ideals in 429467 cliques
  62. Sat Mar 28 19:43:42 2026 commencing in-memory singleton removal
  63. Sat Mar 28 19:43:43 2026 begin with 25732835 relations and 26846156 unique ideals
  64. Sat Mar 28 19:43:46 2026 reduce to 25615390 relations and 24915645 ideals in 8 passes
  65. Sat Mar 28 19:43:46 2026 max relations containing the same ideal: 79
  66. Sat Mar 28 19:44:03 2026 relations with 0 large ideals: 2040
  67. Sat Mar 28 19:44:03 2026 relations with 1 large ideals: 11142
  68. Sat Mar 28 19:44:03 2026 relations with 2 large ideals: 157017
  69. Sat Mar 28 19:44:03 2026 relations with 3 large ideals: 973790
  70. Sat Mar 28 19:44:03 2026 relations with 4 large ideals: 3195907
  71. Sat Mar 28 19:44:03 2026 relations with 5 large ideals: 6114301
  72. Sat Mar 28 19:44:03 2026 relations with 6 large ideals: 7139068
  73. Sat Mar 28 19:44:03 2026 relations with 7+ large ideals: 8022125
  74. Sat Mar 28 19:44:03 2026 commencing 2-way merge
  75. Sat Mar 28 19:44:23 2026 reduce to 15612456 relation sets and 14912711 unique ideals
  76. Sat Mar 28 19:44:24 2026
  77. Sat Mar 28 19:44:24 2026 trying target density 80
  78. Sat Mar 28 19:44:24 2026 commencing full merge
  79. Sat Mar 28 19:49:23 2026 memory use: 1773.8 MB
  80. Sat Mar 28 19:49:26 2026 found 8092980 cycles, need 7996911
  81. Sat Mar 28 19:49:29 2026 weight of 7996911 cycles is about 639812585 (80.01/cycle)
  82. Sat Mar 28 19:49:29 2026 distribution of cycle lengths:
  83. Sat Mar 28 19:49:29 2026 1 relations: 830552
  84. Sat Mar 28 19:49:29 2026 2 relations: 884490
  85. Sat Mar 28 19:49:29 2026 3 relations: 910526
  86. Sat Mar 28 19:49:29 2026 4 relations: 846979
  87. Sat Mar 28 19:49:29 2026 5 relations: 793462
  88. Sat Mar 28 19:49:29 2026 6 relations: 705925
  89. Sat Mar 28 19:49:29 2026 7 relations: 624904
  90. Sat Mar 28 19:49:29 2026 8 relations: 543871
  91. Sat Mar 28 19:49:29 2026 9 relations: 459760
  92. Sat Mar 28 19:49:29 2026 10+ relations: 1396442
  93. Sat Mar 28 19:49:29 2026 heaviest cycle: 20 relations
  94. Sat Mar 28 19:49:32 2026 target density 80 succeeded, avg weight 80.01
  95. Sat Mar 28 19:49:32 2026 commencing cycle optimization
  96. Sat Mar 28 19:49:47 2026 start with 46679200 relations
  97. Sat Mar 28 19:51:08 2026 pruned 1165800 relations
  98. Sat Mar 28 19:51:09 2026 memory use: 1527.4 MB
  99. Sat Mar 28 19:51:09 2026 distribution of cycle lengths:
  100. Sat Mar 28 19:51:09 2026 1 relations: 830552
  101. Sat Mar 28 19:51:09 2026 2 relations: 904492
  102. Sat Mar 28 19:51:09 2026 3 relations: 943316
  103. Sat Mar 28 19:51:09 2026 4 relations: 869369
  104. Sat Mar 28 19:51:09 2026 5 relations: 814425
  105. Sat Mar 28 19:51:09 2026 6 relations: 718080
  106. Sat Mar 28 19:51:09 2026 7 relations: 634391
  107. Sat Mar 28 19:51:09 2026 8 relations: 545723
  108. Sat Mar 28 19:51:09 2026 9 relations: 456901
  109. Sat Mar 28 19:51:09 2026 10+ relations: 1279662
  110. Sat Mar 28 19:51:09 2026 heaviest cycle: 20 relations
  111. Sat Mar 28 19:51:27 2026
  112. Sat Mar 28 19:51:27 2026 trying target density 100
  113. Sat Mar 28 19:51:27 2026 commencing full merge
  114. Sat Mar 28 19:57:34 2026 memory use: 1827.9 MB
  115. Sat Mar 28 19:57:36 2026 found 7479095 cycles, need 7394911
  116. Sat Mar 28 19:57:39 2026 weight of 7394911 cycles is about 739521188 (100.00/cycle)
  117. Sat Mar 28 19:57:39 2026 distribution of cycle lengths:
  118. Sat Mar 28 19:57:39 2026 1 relations: 515277
  119. Sat Mar 28 19:57:39 2026 2 relations: 634078
  120. Sat Mar 28 19:57:39 2026 3 relations: 678732
  121. Sat Mar 28 19:57:39 2026 4 relations: 665258
  122. Sat Mar 28 19:57:39 2026 5 relations: 642884
  123. Sat Mar 28 19:57:39 2026 6 relations: 594294
  124. Sat Mar 28 19:57:39 2026 7 relations: 557498
  125. Sat Mar 28 19:57:39 2026 8 relations: 506404
  126. Sat Mar 28 19:57:39 2026 9 relations: 456143
  127. Sat Mar 28 19:57:39 2026 10+ relations: 2144343
  128. Sat Mar 28 19:57:39 2026 heaviest cycle: 24 relations
  129. Sat Mar 28 19:57:41 2026 target density 100 succeeded, avg weight 100.00
  130. Sat Mar 28 19:57:42 2026 commencing cycle optimization
  131. Sat Mar 28 19:57:59 2026 start with 53832882 relations
  132. Sat Mar 28 20:00:02 2026 pruned 1751623 relations
  133. Sat Mar 28 20:00:03 2026 memory use: 1604.8 MB
  134. Sat Mar 28 20:00:03 2026 distribution of cycle lengths:
  135. Sat Mar 28 20:00:03 2026 1 relations: 515277
  136. Sat Mar 28 20:00:03 2026 2 relations: 649821
  137. Sat Mar 28 20:00:03 2026 3 relations: 706424
  138. Sat Mar 28 20:00:03 2026 4 relations: 687803
  139. Sat Mar 28 20:00:03 2026 5 relations: 666087
  140. Sat Mar 28 20:00:03 2026 6 relations: 611950
  141. Sat Mar 28 20:00:03 2026 7 relations: 574131
  142. Sat Mar 28 20:00:03 2026 8 relations: 516613
  143. Sat Mar 28 20:00:03 2026 9 relations: 463340
  144. Sat Mar 28 20:00:03 2026 10+ relations: 2003465
  145. Sat Mar 28 20:00:03 2026 heaviest cycle: 24 relations
  146. Sat Mar 28 20:00:21 2026
  147. Sat Mar 28 20:00:21 2026 trying target density 120
  148. Sat Mar 28 20:00:21 2026 commencing full merge
  149. Sat Mar 28 20:06:46 2026 memory use: 1864.1 MB
  150. Sat Mar 28 20:06:47 2026 found 7009128 cycles, need 6968911
  151. Sat Mar 28 20:06:49 2026 weight of 6968911 cycles is about 836368070 (120.01/cycle)
  152. Sat Mar 28 20:06:49 2026 distribution of cycle lengths:
  153. Sat Mar 28 20:06:49 2026 1 relations: 347246
  154. Sat Mar 28 20:06:49 2026 2 relations: 475311
  155. Sat Mar 28 20:06:49 2026 3 relations: 534422
  156. Sat Mar 28 20:06:49 2026 4 relations: 530551
  157. Sat Mar 28 20:06:49 2026 5 relations: 528360
  158. Sat Mar 28 20:06:49 2026 6 relations: 499858
  159. Sat Mar 28 20:06:49 2026 7 relations: 480762
  160. Sat Mar 28 20:06:49 2026 8 relations: 447154
  161. Sat Mar 28 20:06:49 2026 9 relations: 420633
  162. Sat Mar 28 20:06:49 2026 10+ relations: 2704614
  163. Sat Mar 28 20:06:49 2026 heaviest cycle: 28 relations
  164. Sat Mar 28 20:06:50 2026 target density 120 succeeded, avg weight 120.01
  165. Sat Mar 28 20:06:51 2026 commencing cycle optimization
  166. Sat Mar 28 20:07:03 2026 start with 60674642 relations
  167. Sat Mar 28 20:08:41 2026 pruned 2373515 relations
  168. Sat Mar 28 20:08:41 2026 memory use: 1674.8 MB
  169. Sat Mar 28 20:08:41 2026 distribution of cycle lengths:
  170. Sat Mar 28 20:08:41 2026 1 relations: 347246
  171. Sat Mar 28 20:08:41 2026 2 relations: 487873
  172. Sat Mar 28 20:08:41 2026 3 relations: 557190
  173. Sat Mar 28 20:08:41 2026 4 relations: 551012
  174. Sat Mar 28 20:08:41 2026 5 relations: 550704
  175. Sat Mar 28 20:08:41 2026 6 relations: 519051
  176. Sat Mar 28 20:08:41 2026 7 relations: 499937
  177. Sat Mar 28 20:08:41 2026 8 relations: 462035
  178. Sat Mar 28 20:08:41 2026 9 relations: 433387
  179. Sat Mar 28 20:08:41 2026 10+ relations: 2560476
  180. Sat Mar 28 20:08:41 2026 heaviest cycle: 28 relations
  181. Sat Mar 28 20:08:51 2026 RelProcTime: 2860
  182. Sat Mar 28 20:08:51 2026
  183. Sat Mar 28 20:08:51 2026 commencing linear algebra
  184. Sat Mar 28 20:08:51 2026 using VBITS=256
  185. Sat Mar 28 20:08:51 2026 building matrices for all .cyc.## files
  186. Sat Mar 28 20:08:51 2026
  187. Sat Mar 28 20:08:51 2026 building matrix for density 100
  188. Sat Mar 28 20:08:52 2026 read 7394911 cycles
  189. Sat Mar 28 20:09:00 2026 cycles contain 25129221 unique relations
  190. Sat Mar 28 20:10:11 2026 read 25129221 relations
  191. Sat Mar 28 20:10:17 2026 using 20 quadratic characters above 4294917295
  192. Sat Mar 28 20:10:25 2026 building initial matrix
  193. Sat Mar 28 20:13:24 2026 memory use: 3421.0 MB
  194. Sat Mar 28 20:13:26 2026 read 7394911 cycles
  195. Sat Mar 28 20:13:27 2026 matrix is 7394733 x 7394911 (2990.8 MB) with weight 918986791 (124.27/col)
  196. Sat Mar 28 20:13:27 2026 sparse part has weight 702668205 (95.02/col)
  197. Sat Mar 28 20:14:15 2026 filtering completed in 2 passes
  198. Sat Mar 28 20:14:16 2026 matrix is 7393313 x 7393490 (2990.6 MB) with weight 918923130 (124.29/col)
  199. Sat Mar 28 20:14:16 2026 sparse part has weight 702648265 (95.04/col)
  200. Sat Mar 28 20:14:26 2026
  201. Sat Mar 28 20:14:26 2026 building matrix for density 120
  202. Sat Mar 28 20:14:26 2026 read 6968911 cycles
  203. Sat Mar 28 20:14:34 2026 cycles contain 25130119 unique relations
  204. Sat Mar 28 20:14:48 2026 read 25130119 relations
  205. Sat Mar 28 20:14:53 2026 using 20 quadratic characters above 4294917295
  206. Sat Mar 28 20:15:01 2026 building initial matrix
  207. Sat Mar 28 20:18:05 2026 memory use: 3431.9 MB
  208. Sat Mar 28 20:18:07 2026 read 6968911 cycles
  209. Sat Mar 28 20:18:08 2026 matrix is 6968734 x 6968911 (3282.7 MB) with weight 998154179 (143.23/col)
  210. Sat Mar 28 20:18:08 2026 sparse part has weight 783875675 (112.48/col)
  211. Sat Mar 28 20:18:51 2026 filtering completed in 2 passes
  212. Sat Mar 28 20:18:52 2026 matrix is 6968350 x 6968526 (3282.6 MB) with weight 998135189 (143.23/col)
  213. Sat Mar 28 20:18:52 2026 sparse part has weight 783869668 (112.49/col)
  214. Sat Mar 28 20:19:07 2026
  215. Sat Mar 28 20:19:07 2026 building matrix for density 80
  216. Sat Mar 28 20:19:07 2026 read 7996911 cycles
  217. Sat Mar 28 20:19:14 2026 cycles contain 25120404 unique relations
  218. Sat Mar 28 20:19:28 2026 read 25120404 relations
  219. Sat Mar 28 20:19:32 2026 using 20 quadratic characters above 4294917295
  220. Sat Mar 28 20:19:40 2026 building initial matrix
  221. Sat Mar 28 20:22:19 2026 memory use: 3413.4 MB
  222. Sat Mar 28 20:22:21 2026 read 7996911 cycles
  223. Sat Mar 28 20:22:22 2026 matrix is 7996732 x 7996911 (2688.8 MB) with weight 836013907 (104.54/col)
  224. Sat Mar 28 20:22:22 2026 sparse part has weight 616896803 (77.14/col)
  225. Sat Mar 28 20:23:08 2026 filtering completed in 2 passes
  226. Sat Mar 28 20:23:09 2026 matrix is 7993527 x 7993705 (2688.6 MB) with weight 835894889 (104.57/col)
  227. Sat Mar 28 20:23:09 2026 sparse part has weight 616867243 (77.17/col)
  228. Sat Mar 28 20:23:19 2026 BLanczosTime: 868
  229. Sat Mar 28 20:23:19 2026 elapsed time 01:02:09
  230. Sat Mar 28 20:25:58 2026
  231. Sat Mar 28 20:25:58 2026
  232. Sat Mar 28 20:25:58 2026 Msieve v. 1.54 (SVN Unversioned directory)
  233. Sat Mar 28 20:25:58 2026 random seeds: 4f7b5613 36cb3544
  234. Sat Mar 28 20:25:58 2026 Using 8 OpenMP threads
  235. Sat Mar 28 20:25:58 2026 factoring 1056755772136321495278461955665985073750339384824404929533708563642742540449018663939336465522074883620869875371307178431802797955399477427381608528227408132420488871 (166 digits)
  236. Sat Mar 28 20:25:58 2026 searching for 15-digit factors
  237. Sat Mar 28 20:25:58 2026 commencing number field sieve (166-digit input)
  238. Sat Mar 28 20:25:58 2026 R0: -111965055020560195727142922785300
  239. Sat Mar 28 20:25:58 2026 R1: 169710505248798320263
  240. Sat Mar 28 20:25:58 2026 A0: -35588447594796050669856994609958482303
  241. Sat Mar 28 20:25:58 2026 A1: 13924592000436595954842861213388
  242. Sat Mar 28 20:25:58 2026 A2: 27143126489283067913658423
  243. Sat Mar 28 20:25:58 2026 A3: 15383326070912752418
  244. Sat Mar 28 20:25:58 2026 A4: -2115628528034
  245. Sat Mar 28 20:25:58 2026 A5: 60060
  246. Sat Mar 28 20:25:58 2026 skew 1.00, size 6.272e-16, alpha -6.099, combined = 6.425e-15 rroots = 3
  247. Sat Mar 28 20:25:58 2026
  248. Sat Mar 28 20:25:58 2026 commencing linear algebra
  249. Sat Mar 28 20:25:58 2026 using VBITS=256
  250. Sat Mar 28 20:25:58 2026 selected density 120 for linear algebra
  251. Sat Mar 28 20:26:01 2026 matrix starts at (0, 0)
  252. Sat Mar 28 20:26:01 2026 matrix is 6968350 x 6968526 (3282.6 MB) with weight 998135189 (143.23/col)
  253. Sat Mar 28 20:26:01 2026 sparse part has weight 783869668 (112.49/col)
  254. Sat Mar 28 20:26:01 2026 saving the first 240 matrix rows for later
  255. Sat Mar 28 20:26:02 2026 matrix includes 256 packed rows
  256. Sat Mar 28 20:26:03 2026 matrix is 6968110 x 6968526 (2966.1 MB) with weight 712006594 (102.17/col)
  257. Sat Mar 28 20:26:03 2026 sparse part has weight 666058277 (95.58/col)
  258. Sat Mar 28 20:26:04 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  259. Sat Mar 28 20:26:04 2026 selected card has CUDA arch 12.0
  260. Sat Mar 28 20:26:34 2026 commencing Lanczos iteration
  261. Sat Mar 28 20:26:35 2026 memory use: 6836.1 MB
  262. Sat Mar 28 20:26:56 2026 linear algebra at 0.4%, ETA 1h19m
  263. Sat Mar 28 20:27:26 2026 checking every 90000 dimensions, checkpointing every 5490000 dimensions
  264. Sat Mar 28 21:46:02 2026 lanczos halted after 27302 iterations (dim = 6968110)
  265. Sat Mar 28 21:46:37 2026 recovered 32 nontrivial dependencies
  266. Sat Mar 28 21:46:39 2026 BLanczosTime: 4841
  267. Sat Mar 28 21:46:39 2026
  268. Sat Mar 28 21:46:39 2026 commencing square root phase
  269. Sat Mar 28 21:46:39 2026 handling dependencies 1 to 64
  270. Sat Mar 28 21:46:39 2026 reading relations for dependency 1
  271. Sat Mar 28 21:46:42 2026 read 3483827 cycles
  272. Sat Mar 28 21:46:51 2026 cycles contain 12555962 unique relations
  273. Sat Mar 28 21:49:02 2026 read 12555962 relations
  274. Sat Mar 28 21:50:11 2026 multiplying 12555962 relations
  275. Sat Mar 28 21:51:50 2026 multiply complete, coefficients have about 664.25 million bits
  276. Sat Mar 28 21:51:52 2026 initial square root is modulo 910661
  277. Sat Mar 28 21:55:19 2026 GCD is 1, no factor found
  278. Sat Mar 28 21:55:19 2026 reading relations for dependency 2
  279. Sat Mar 28 21:55:21 2026 read 3483197 cycles
  280. Sat Mar 28 21:55:28 2026 cycles contain 12566664 unique relations
  281. Sat Mar 28 21:55:56 2026 read 12566664 relations
  282. Sat Mar 28 21:56:58 2026 multiplying 12566664 relations
  283. Sat Mar 28 21:58:41 2026 multiply complete, coefficients have about 664.83 million bits
  284. Sat Mar 28 21:58:43 2026 initial square root is modulo 921563
  285. Sat Mar 28 22:02:16 2026 sqrtTime: 937
  286. Sat Mar 28 22:02:16 2026 p59 factor: 15462301069463602151287856069368792622716901830783590701759
  287. Sat Mar 28 22:02:16 2026 p107 factor: 68344017322447665879174889385809425217597378843045162880855828738857060655849125216623920545188033881132569
  288. Sat Mar 28 22:02:16 2026 elapsed time 01:36:18
  289.  
Tags: math
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