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  1. Thu Mar 27 12:35:32 2025 Msieve v. 1.54 (SVN 03e8738)
  2. Thu Mar 27 12:35:32 2025 random seeds: 5deacef8 b5d06974
  3. Thu Mar 27 12:35:32 2025 Using 16 OpenMP threads
  4. Thu Mar 27 12:35:32 2025 factoring 47127592590073423958187479270976072731765279720067922357937230253263357977217740228533869249684186827949479102779886537597648801393850537452307192689375941351936906822748663793327065276252005236758528621107160932263289538403 (224 digits)
  5. Thu Mar 27 12:35:33 2025 no P-1/P+1/ECM available, skipping
  6. Thu Mar 27 12:35:33 2025 commencing number field sieve (224-digit input)
  7. Thu Mar 27 12:35:33 2025 R0: -50852379313170761620334464520557212049
  8. Thu Mar 27 12:35:33 2025 R1: 1
  9. Thu Mar 27 12:35:33 2025 A0: -1
  10. Thu Mar 27 12:35:33 2025 A1: 0
  11. Thu Mar 27 12:35:33 2025 A2: 0
  12. Thu Mar 27 12:35:33 2025 A3: 0
  13. Thu Mar 27 12:35:33 2025 A4: 0
  14. Thu Mar 27 12:35:33 2025 A5: 0
  15. Thu Mar 27 12:35:33 2025 A6: 5897
  16. Thu Mar 27 12:35:33 2025 skew 0.24, size 1.763e-11, alpha -0.041, combined = 9.705e-13 rroots = 2
  17. Thu Mar 27 12:35:33 2025
  18. Thu Mar 27 12:35:33 2025 commencing relation filtering
  19. Thu Mar 27 12:35:33 2025 setting target matrix density to 120.0
  20. Thu Mar 27 12:35:33 2025 estimated available RAM is 128734.6 MB
  21. Thu Mar 27 12:35:33 2025 commencing duplicate removal, pass 1
  22. Thu Mar 27 12:36:26 2025 skipped 135 relations with b > 2^32
  23. Thu Mar 27 12:36:26 2025 found 3257586 hash collisions in 120534760 relations
  24. Thu Mar 27 12:36:33 2025 added 1217796 free relations
  25. Thu Mar 27 12:36:33 2025 commencing duplicate removal, pass 2
  26. Thu Mar 27 12:36:54 2025 found 0 duplicates and 121752556 unique relations
  27. Thu Mar 27 12:36:54 2025 memory use: 389.2 MB
  28. Thu Mar 27 12:36:54 2025 reading ideals above 720000
  29. Thu Mar 27 12:36:54 2025 commencing singleton removal, initial pass
  30. Thu Mar 27 12:40:00 2025 memory use: 2756.0 MB
  31. Thu Mar 27 12:40:00 2025 reading all ideals from disk
  32. Thu Mar 27 12:40:01 2025 memory use: 5534.7 MB
  33. Thu Mar 27 12:40:05 2025 keeping 95724061 ideals with weight <= 200, target excess is 605264
  34. Thu Mar 27 12:40:11 2025 commencing in-memory singleton removal
  35. Thu Mar 27 12:40:13 2025 begin with 121752556 relations and 95724061 unique ideals
  36. Thu Mar 27 12:40:24 2025 reduce to 105744838 relations and 79241587 ideals in 11 passes
  37. Thu Mar 27 12:40:24 2025 max relations containing the same ideal: 189
  38. Thu Mar 27 12:40:41 2025 removing 8886922 relations and 6886922 ideals in 2000000 cliques
  39. Thu Mar 27 12:40:43 2025 commencing in-memory singleton removal
  40. Thu Mar 27 12:40:44 2025 begin with 96857916 relations and 79241587 unique ideals
  41. Thu Mar 27 12:40:51 2025 reduce to 96241478 relations and 71723080 ideals in 8 passes
  42. Thu Mar 27 12:40:51 2025 max relations containing the same ideal: 181
  43. Thu Mar 27 12:41:06 2025 removing 6939940 relations and 4939940 ideals in 2000000 cliques
  44. Thu Mar 27 12:41:08 2025 commencing in-memory singleton removal
  45. Thu Mar 27 12:41:09 2025 begin with 89301538 relations and 71723080 unique ideals
  46. Thu Mar 27 12:41:14 2025 reduce to 88884908 relations and 66357529 ideals in 7 passes
  47. Thu Mar 27 12:41:14 2025 max relations containing the same ideal: 174
  48. Thu Mar 27 12:41:29 2025 removing 6403780 relations and 4403780 ideals in 2000000 cliques
  49. Thu Mar 27 12:41:30 2025 commencing in-memory singleton removal
  50. Thu Mar 27 12:41:32 2025 begin with 82481128 relations and 66357529 unique ideals
  51. Thu Mar 27 12:41:36 2025 reduce to 82114694 relations and 61579259 ideals in 7 passes
  52. Thu Mar 27 12:41:36 2025 max relations containing the same ideal: 166
  53. Thu Mar 27 12:41:50 2025 removing 6132117 relations and 4132117 ideals in 2000000 cliques
  54. Thu Mar 27 12:41:51 2025 commencing in-memory singleton removal
  55. Thu Mar 27 12:41:53 2025 begin with 75982577 relations and 61579259 unique ideals
  56. Thu Mar 27 12:41:57 2025 reduce to 75635993 relations and 57092710 ideals in 7 passes
  57. Thu Mar 27 12:41:57 2025 max relations containing the same ideal: 158
  58. Thu Mar 27 12:42:09 2025 removing 5963197 relations and 3963197 ideals in 2000000 cliques
  59. Thu Mar 27 12:42:11 2025 commencing in-memory singleton removal
  60. Thu Mar 27 12:42:12 2025 begin with 69672796 relations and 57092710 unique ideals
  61. Thu Mar 27 12:42:15 2025 reduce to 69329362 relations and 52777961 ideals in 6 passes
  62. Thu Mar 27 12:42:15 2025 max relations containing the same ideal: 148
  63. Thu Mar 27 12:42:26 2025 removing 5851931 relations and 3851931 ideals in 2000000 cliques
  64. Thu Mar 27 12:42:28 2025 commencing in-memory singleton removal
  65. Thu Mar 27 12:42:29 2025 begin with 63477431 relations and 52777961 unique ideals
  66. Thu Mar 27 12:42:33 2025 reduce to 63128983 relations and 48568446 ideals in 8 passes
  67. Thu Mar 27 12:42:33 2025 max relations containing the same ideal: 141
  68. Thu Mar 27 12:42:43 2025 removing 5780584 relations and 3780584 ideals in 2000000 cliques
  69. Thu Mar 27 12:42:45 2025 commencing in-memory singleton removal
  70. Thu Mar 27 12:42:46 2025 begin with 57348399 relations and 48568446 unique ideals
  71. Thu Mar 27 12:42:49 2025 reduce to 56982535 relations and 44411781 ideals in 7 passes
  72. Thu Mar 27 12:42:49 2025 max relations containing the same ideal: 133
  73. Thu Mar 27 12:42:58 2025 removing 5735533 relations and 3735533 ideals in 2000000 cliques
  74. Thu Mar 27 12:43:00 2025 commencing in-memory singleton removal
  75. Thu Mar 27 12:43:00 2025 begin with 51247002 relations and 44411781 unique ideals
  76. Thu Mar 27 12:43:03 2025 reduce to 50856907 relations and 40274251 ideals in 7 passes
  77. Thu Mar 27 12:43:03 2025 max relations containing the same ideal: 121
  78. Thu Mar 27 12:43:12 2025 removing 5715568 relations and 3715568 ideals in 2000000 cliques
  79. Thu Mar 27 12:43:13 2025 commencing in-memory singleton removal
  80. Thu Mar 27 12:43:14 2025 begin with 45141339 relations and 40274251 unique ideals
  81. Thu Mar 27 12:43:16 2025 reduce to 44714187 relations and 36116885 ideals in 6 passes
  82. Thu Mar 27 12:43:16 2025 max relations containing the same ideal: 110
  83. Thu Mar 27 12:43:24 2025 removing 5714753 relations and 3714753 ideals in 2000000 cliques
  84. Thu Mar 27 12:43:25 2025 commencing in-memory singleton removal
  85. Thu Mar 27 12:43:25 2025 begin with 38999434 relations and 36116885 unique ideals
  86. Thu Mar 27 12:43:27 2025 reduce to 38521727 relations and 31906211 ideals in 7 passes
  87. Thu Mar 27 12:43:27 2025 max relations containing the same ideal: 104
  88. Thu Mar 27 12:43:34 2025 removing 5734154 relations and 3734154 ideals in 2000000 cliques
  89. Thu Mar 27 12:43:36 2025 commencing in-memory singleton removal
  90. Thu Mar 27 12:43:36 2025 begin with 32787573 relations and 31906211 unique ideals
  91. Thu Mar 27 12:43:38 2025 reduce to 32240826 relations and 27601004 ideals in 8 passes
  92. Thu Mar 27 12:43:38 2025 max relations containing the same ideal: 95
  93. Thu Mar 27 12:43:44 2025 removing 5756170 relations and 3756170 ideals in 2000000 cliques
  94. Thu Mar 27 12:43:45 2025 commencing in-memory singleton removal
  95. Thu Mar 27 12:43:45 2025 begin with 26484656 relations and 27601004 unique ideals
  96. Thu Mar 27 12:43:47 2025 reduce to 25836179 relations and 23161961 ideals in 9 passes
  97. Thu Mar 27 12:43:47 2025 max relations containing the same ideal: 78
  98. Thu Mar 27 12:43:52 2025 removing 5717250 relations and 3745139 ideals in 1972111 cliques
  99. Thu Mar 27 12:43:53 2025 commencing in-memory singleton removal
  100. Thu Mar 27 12:43:53 2025 begin with 20118929 relations and 23161961 unique ideals
  101. Thu Mar 27 12:43:54 2025 reduce to 19317181 relations and 18561967 ideals in 9 passes
  102. Thu Mar 27 12:43:54 2025 max relations containing the same ideal: 64
  103. Thu Mar 27 12:43:58 2025 removing 308649 relations and 255542 ideals in 53107 cliques
  104. Thu Mar 27 12:43:58 2025 commencing in-memory singleton removal
  105. Thu Mar 27 12:43:58 2025 begin with 19008532 relations and 18561967 unique ideals
  106. Thu Mar 27 12:43:59 2025 reduce to 19004159 relations and 18302030 ideals in 5 passes
  107. Thu Mar 27 12:43:59 2025 max relations containing the same ideal: 64
  108. Thu Mar 27 12:44:00 2025 relations with 0 large ideals: 21397
  109. Thu Mar 27 12:44:00 2025 relations with 1 large ideals: 17628
  110. Thu Mar 27 12:44:00 2025 relations with 2 large ideals: 176853
  111. Thu Mar 27 12:44:00 2025 relations with 3 large ideals: 968977
  112. Thu Mar 27 12:44:00 2025 relations with 4 large ideals: 2801942
  113. Thu Mar 27 12:44:00 2025 relations with 5 large ideals: 4749529
  114. Thu Mar 27 12:44:00 2025 relations with 6 large ideals: 4968738
  115. Thu Mar 27 12:44:00 2025 relations with 7+ large ideals: 5299095
  116. Thu Mar 27 12:44:00 2025 commencing 2-way merge
  117. Thu Mar 27 12:44:06 2025 reduce to 12624943 relation sets and 11922814 unique ideals
  118. Thu Mar 27 12:44:06 2025 commencing full merge
  119. Thu Mar 27 12:46:48 2025 memory use: 1568.7 MB
  120. Thu Mar 27 12:46:49 2025 found 5668954 cycles, need 5637014
  121. Thu Mar 27 12:46:50 2025 weight of 5637014 cycles is about 677198184 (120.13/cycle)
  122. Thu Mar 27 12:46:50 2025 distribution of cycle lengths:
  123. Thu Mar 27 12:46:50 2025 1 relations: 193005
  124. Thu Mar 27 12:46:50 2025 2 relations: 307858
  125. Thu Mar 27 12:46:50 2025 3 relations: 379619
  126. Thu Mar 27 12:46:50 2025 4 relations: 406886
  127. Thu Mar 27 12:46:50 2025 5 relations: 426135
  128. Thu Mar 27 12:46:50 2025 6 relations: 426822
  129. Thu Mar 27 12:46:50 2025 7 relations: 418174
  130. Thu Mar 27 12:46:50 2025 8 relations: 400067
  131. Thu Mar 27 12:46:50 2025 9 relations: 373046
  132. Thu Mar 27 12:46:50 2025 10+ relations: 2305402
  133. Thu Mar 27 12:46:50 2025 heaviest cycle: 28 relations
  134. Thu Mar 27 12:46:51 2025 commencing cycle optimization
  135. Thu Mar 27 12:46:58 2025 start with 51259465 relations
  136. Thu Mar 27 12:48:05 2025 pruned 2569165 relations
  137. Thu Mar 27 12:48:05 2025 memory use: 1313.6 MB
  138. Thu Mar 27 12:48:05 2025 distribution of cycle lengths:
  139. Thu Mar 27 12:48:05 2025 1 relations: 193005
  140. Thu Mar 27 12:48:05 2025 2 relations: 316166
  141. Thu Mar 27 12:48:05 2025 3 relations: 396669
  142. Thu Mar 27 12:48:05 2025 4 relations: 425329
  143. Thu Mar 27 12:48:05 2025 5 relations: 450506
  144. Thu Mar 27 12:48:05 2025 6 relations: 450805
  145. Thu Mar 27 12:48:05 2025 7 relations: 443412
  146. Thu Mar 27 12:48:05 2025 8 relations: 421940
  147. Thu Mar 27 12:48:05 2025 9 relations: 391384
  148. Thu Mar 27 12:48:05 2025 10+ relations: 2147798
  149. Thu Mar 27 12:48:05 2025 heaviest cycle: 28 relations
  150. Thu Mar 27 12:48:11 2025 RelProcTime: 758
  151. Thu Mar 27 12:48:11 2025 elapsed time 00:12:39
  152. Thu Mar 27 12:48:15 2025
  153. Thu Mar 27 12:48:15 2025
  154. Thu Mar 27 12:48:15 2025 Msieve v. 1.54 (SVN 03e8738)
  155. Thu Mar 27 12:48:15 2025 random seeds: 30ce8cfc 9cad7fd8
  156. Thu Mar 27 12:48:15 2025 Using 16 OpenMP threads
  157. Thu Mar 27 12:48:15 2025 factoring 47127592590073423958187479270976072731765279720067922357937230253263357977217740228533869249684186827949479102779886537597648801393850537452307192689375941351936906822748663793327065276252005236758528621107160932263289538403 (224 digits)
  158. Thu Mar 27 12:48:16 2025 no P-1/P+1/ECM available, skipping
  159. Thu Mar 27 12:48:16 2025 commencing number field sieve (224-digit input)
  160. Thu Mar 27 12:48:16 2025 R0: -50852379313170761620334464520557212049
  161. Thu Mar 27 12:48:16 2025 R1: 1
  162. Thu Mar 27 12:48:16 2025 A0: -1
  163. Thu Mar 27 12:48:16 2025 A1: 0
  164. Thu Mar 27 12:48:16 2025 A2: 0
  165. Thu Mar 27 12:48:16 2025 A3: 0
  166. Thu Mar 27 12:48:16 2025 A4: 0
  167. Thu Mar 27 12:48:16 2025 A5: 0
  168. Thu Mar 27 12:48:16 2025 A6: 5897
  169. Thu Mar 27 12:48:16 2025 skew 0.24, size 1.763e-11, alpha -0.041, combined = 9.705e-13 rroots = 2
  170. Thu Mar 27 12:48:16 2025
  171. Thu Mar 27 12:48:16 2025 commencing linear algebra
  172. Thu Mar 27 12:48:16 2025 using VBITS=256
  173. Thu Mar 27 12:48:16 2025 read 5637014 cycles
  174. Thu Mar 27 12:48:23 2025 cycles contain 18643875 unique relations
  175. Thu Mar 27 12:48:31 2025 read 18643875 relations
  176. Thu Mar 27 12:48:33 2025 using 20 quadratic characters above 4294917295
  177. Thu Mar 27 12:48:35 2025 building initial matrix
  178. Thu Mar 27 12:50:39 2025 memory use: 2476.2 MB
  179. Thu Mar 27 12:50:40 2025 read 5637014 cycles
  180. Thu Mar 27 12:50:41 2025 matrix is 5636837 x 5637014 (2630.7 MB) with weight 768221093 (136.28/col)
  181. Thu Mar 27 12:50:41 2025 sparse part has weight 627603415 (111.34/col)
  182. Thu Mar 27 12:51:10 2025 filtering completed in 2 passes
  183. Thu Mar 27 12:51:11 2025 matrix is 5636643 x 5636814 (2630.6 MB) with weight 768212922 (136.28/col)
  184. Thu Mar 27 12:51:11 2025 sparse part has weight 627600279 (111.34/col)
  185. Thu Mar 27 12:51:20 2025 matrix starts at (0, 0)
  186. Thu Mar 27 12:51:21 2025 matrix is 5636643 x 5636814 (2630.6 MB) with weight 768212922 (136.28/col)
  187. Thu Mar 27 12:51:21 2025 sparse part has weight 627600279 (111.34/col)
  188. Thu Mar 27 12:51:21 2025 saving the first 240 matrix rows for later
  189. Thu Mar 27 12:51:21 2025 matrix includes 256 packed rows
  190. Thu Mar 27 12:51:23 2025 matrix is 5636403 x 5636814 (2388.2 MB) with weight 570302427 (101.17/col)
  191. Thu Mar 27 12:51:23 2025 sparse part has weight 535874688 (95.07/col)
  192. Thu Mar 27 12:51:23 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  193. Thu Mar 27 12:51:23 2025 selected card has CUDA arch 8.6
  194. Thu Mar 27 12:51:38 2025 commencing Lanczos iteration
  195. Thu Mar 27 12:51:39 2025 memory use: 5507.6 MB
  196. Thu Mar 27 12:51:56 2025 linear algebra at 0.5%, ETA 0h51m
  197. Thu Mar 27 12:52:22 2025 checking every 100000 dimensions, checkpointing every 6500000 dimensions
  198. Thu Mar 27 13:43:50 2025 lanczos halted after 22085 iterations (dim = 5636403)
  199. Thu Mar 27 13:44:04 2025 recovered 35 nontrivial dependencies
  200. Thu Mar 27 13:44:04 2025 BLanczosTime: 3348
  201. Thu Mar 27 13:44:04 2025 elapsed time 00:55:49
  202. Thu Mar 27 13:44:08 2025
  203. Thu Mar 27 13:44:08 2025
  204. Thu Mar 27 13:44:08 2025 Msieve v. 1.54 (SVN 03e8738)
  205. Thu Mar 27 13:44:08 2025 random seeds: ac5bd854 d8622269
  206. Thu Mar 27 13:44:08 2025 Using 16 OpenMP threads
  207. Thu Mar 27 13:44:08 2025 factoring 47127592590073423958187479270976072731765279720067922357937230253263357977217740228533869249684186827949479102779886537597648801393850537452307192689375941351936906822748663793327065276252005236758528621107160932263289538403 (224 digits)
  208. Thu Mar 27 13:44:08 2025 no P-1/P+1/ECM available, skipping
  209. Thu Mar 27 13:44:08 2025 commencing number field sieve (224-digit input)
  210. Thu Mar 27 13:44:08 2025 R0: -50852379313170761620334464520557212049
  211. Thu Mar 27 13:44:08 2025 R1: 1
  212. Thu Mar 27 13:44:08 2025 A0: -1
  213. Thu Mar 27 13:44:08 2025 A1: 0
  214. Thu Mar 27 13:44:08 2025 A2: 0
  215. Thu Mar 27 13:44:08 2025 A3: 0
  216. Thu Mar 27 13:44:08 2025 A4: 0
  217. Thu Mar 27 13:44:08 2025 A5: 0
  218. Thu Mar 27 13:44:08 2025 A6: 5897
  219. Thu Mar 27 13:44:08 2025 skew 0.24, size 1.763e-11, alpha -0.041, combined = 9.705e-13 rroots = 2
  220. Thu Mar 27 13:44:08 2025
  221. Thu Mar 27 13:44:08 2025 commencing square root phase
  222. Thu Mar 27 13:44:08 2025 reading relations for dependency 1
  223. Thu Mar 27 13:44:09 2025 read 2816487 cycles
  224. Thu Mar 27 13:44:12 2025 cycles contain 9318218 unique relations
  225. Thu Mar 27 13:44:18 2025 read 9318218 relations
  226. Thu Mar 27 13:44:38 2025 multiplying 9318218 relations
  227. Thu Mar 27 13:45:07 2025 multiply complete, coefficients have about 334.46 million bits
  228. Thu Mar 27 13:45:07 2025 initial square root is modulo 1002913
  229. Thu Mar 27 13:46:10 2025 GCD is N, no factor found
  230. Thu Mar 27 13:46:10 2025 reading relations for dependency 2
  231. Thu Mar 27 13:46:10 2025 read 2820506 cycles
  232. Thu Mar 27 13:46:13 2025 cycles contain 9327458 unique relations
  233. Thu Mar 27 13:46:19 2025 read 9327458 relations
  234. Thu Mar 27 13:46:39 2025 multiplying 9327458 relations
  235. Thu Mar 27 13:47:08 2025 multiply complete, coefficients have about 334.79 million bits
  236. Thu Mar 27 13:47:09 2025 initial square root is modulo 1016689
  237. Thu Mar 27 13:48:11 2025 found factor: 231897148663837451982157161277971482228143879997387
  238. Thu Mar 27 13:48:11 2025 reading relations for dependency 3
  239. Thu Mar 27 13:48:11 2025 read 2819374 cycles
  240. Thu Mar 27 13:48:14 2025 cycles contain 9326542 unique relations
  241. Thu Mar 27 13:48:20 2025 read 9326542 relations
  242. Thu Mar 27 13:48:40 2025 multiplying 9326542 relations
  243. Thu Mar 27 13:49:10 2025 multiply complete, coefficients have about 334.76 million bits
  244. Thu Mar 27 13:49:10 2025 initial square root is modulo 1015471
  245. Thu Mar 27 13:50:13 2025 found factor: 231897148663837451982157161277971482228143879997387
  246. Thu Mar 27 13:50:13 2025 reading relations for dependency 4
  247. Thu Mar 27 13:50:13 2025 read 2817014 cycles
  248. Thu Mar 27 13:50:16 2025 cycles contain 9318822 unique relations
  249. Thu Mar 27 13:50:22 2025 read 9318822 relations
  250. Thu Mar 27 13:50:42 2025 multiplying 9318822 relations
  251. Thu Mar 27 13:51:12 2025 multiply complete, coefficients have about 334.48 million bits
  252. Thu Mar 27 13:51:12 2025 initial square root is modulo 1003819
  253. Thu Mar 27 13:52:14 2025 found factor: 231897148663837451982157161277971482228143879997387
  254. Thu Mar 27 13:52:14 2025 reading relations for dependency 5
  255. Thu Mar 27 13:52:14 2025 read 2817678 cycles
  256. Thu Mar 27 13:52:17 2025 cycles contain 9320700 unique relations
  257. Thu Mar 27 13:52:23 2025 read 9320700 relations
  258. Thu Mar 27 13:52:43 2025 multiplying 9320700 relations
  259. Thu Mar 27 13:53:12 2025 multiply complete, coefficients have about 334.54 million bits
  260. Thu Mar 27 13:53:13 2025 initial square root is modulo 1006513
  261. Thu Mar 27 13:54:15 2025 found factor: 231897148663837451982157161277971482228143879997387
  262. Thu Mar 27 13:54:15 2025 reading relations for dependency 6
  263. Thu Mar 27 13:54:16 2025 read 2818606 cycles
  264. Thu Mar 27 13:54:19 2025 cycles contain 9320002 unique relations
  265. Thu Mar 27 13:54:24 2025 read 9320002 relations
  266. Thu Mar 27 13:54:44 2025 multiplying 9320002 relations
  267. Thu Mar 27 13:55:14 2025 multiply complete, coefficients have about 334.52 million bits
  268. Thu Mar 27 13:55:14 2025 initial square root is modulo 1005637
  269. Thu Mar 27 13:56:16 2025 sqrtTime: 728
  270. Thu Mar 27 13:56:16 2025 p51 factor: 231897148663837451982157161277971482228143879997387
  271. Thu Mar 27 13:56:16 2025 p68 factor: 28614617825630575152830233786081036151568858691195183003190980704503
  272. Thu Mar 27 13:56:16 2025 p106 factor: 7102183626072784234060798341614392640075444373125421405766483293047671656886908756828156523276902370812223
  273. Thu Mar 27 13:56:16 2025 elapsed time 00:12:08
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