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C197_966_1109

gchilders
Oct 25th, 2025
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  1. Thu Oct 23 23:55:01 2025
  2. Thu Oct 23 23:55:01 2025
  3. Thu Oct 23 23:55:01 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Oct 23 23:55:01 2025 random seeds: 89ec7807 0b4cfd80
  5. Thu Oct 23 23:55:01 2025 MPI process 0 of 1
  6. Thu Oct 23 23:55:01 2025 Using 46 OpenMP threads
  7. Thu Oct 23 23:55:01 2025 factoring 45097124554984358337294718839166211009081952406262469946513129018991056990681455875218624650096099332897783414589930512530352242362719388697229312810346750001575754659846153738414233589967446868991 (197 digits)
  8. Thu Oct 23 23:55:02 2025 no P-1/P+1/ECM available, skipping
  9. Thu Oct 23 23:55:02 2025 commencing number field sieve (197-digit input)
  10. Thu Oct 23 23:55:02 2025 R0: -115838309150038350212575982940468725674
  11. Thu Oct 23 23:55:02 2025 R1: 23720096391529966849093
  12. Thu Oct 23 23:55:02 2025 A0: -62689740185670274156971964260317428750533240125
  13. Thu Oct 23 23:55:02 2025 A1: 8056059398014017918567851816461034169490
  14. Thu Oct 23 23:55:02 2025 A2: 33766332210795679818383035381743
  15. Thu Oct 23 23:55:02 2025 A3: -625882363722888358646112
  16. Thu Oct 23 23:55:02 2025 A4: -614829288048036
  17. Thu Oct 23 23:55:02 2025 A5: 2162160
  18. Thu Oct 23 23:55:02 2025 skew 235958351.59, size 3.491e-19, alpha -8.110, combined = 9.167e-15 rroots = 5
  19. Thu Oct 23 23:55:02 2025
  20. Thu Oct 23 23:55:02 2025 commencing relation filtering
  21. Thu Oct 23 23:55:02 2025 setting target matrix density to 110.0
  22. Thu Oct 23 23:55:02 2025 estimated available RAM is 773418.9 MB
  23. Thu Oct 23 23:55:02 2025 commencing duplicate removal, pass 1
  24. Fri Oct 24 00:15:08 2025 skipped 1 relations with b > 2^32
  25. Fri Oct 24 00:15:08 2025 skipped 1 relations with composite factors
  26. Fri Oct 24 00:15:08 2025 skipped 1350 malformed relations
  27. Fri Oct 24 00:15:08 2025 found 21357906 hash collisions in 620285623 relations
  28. Fri Oct 24 00:15:29 2025 added 121640 free relations
  29. Fri Oct 24 00:15:29 2025 commencing duplicate removal, pass 2
  30. Fri Oct 24 00:17:22 2025 found 0 duplicates and 620407263 unique relations
  31. Fri Oct 24 00:17:22 2025 memory use: 2089.5 MB
  32. Fri Oct 24 00:17:22 2025 reading ideals above 720000
  33. Fri Oct 24 00:17:22 2025 commencing singleton removal, initial pass
  34. Fri Oct 24 00:37:50 2025 memory use: 11024.0 MB
  35. Fri Oct 24 00:37:52 2025 reading all ideals from disk
  36. Fri Oct 24 00:37:58 2025 memory use: 31689.1 MB
  37. Fri Oct 24 00:38:29 2025 keeping 627994392 ideals with weight <= 200, target excess is 3191378
  38. Fri Oct 24 00:39:19 2025 commencing in-memory singleton removal
  39. Fri Oct 24 00:39:22 2025 begin with 620407263 relations and 627994392 unique ideals
  40. Fri Oct 24 00:39:51 2025 reduce to 333420082 relations and 304723675 ideals in 23 passes
  41. Fri Oct 24 00:39:51 2025 max relations containing the same ideal: 147
  42. Fri Oct 24 00:41:02 2025 removing 20167833 relations and 18167833 ideals in 2000000 cliques
  43. Fri Oct 24 00:41:11 2025 commencing in-memory singleton removal
  44. Fri Oct 24 00:41:13 2025 begin with 313252249 relations and 304723675 unique ideals
  45. Fri Oct 24 00:41:23 2025 reduce to 312166736 relations and 285460172 ideals in 11 passes
  46. Fri Oct 24 00:41:23 2025 max relations containing the same ideal: 139
  47. Fri Oct 24 00:42:29 2025 removing 14901873 relations and 12901873 ideals in 2000000 cliques
  48. Fri Oct 24 00:42:37 2025 commencing in-memory singleton removal
  49. Fri Oct 24 00:42:38 2025 begin with 297264863 relations and 285460172 unique ideals
  50. Fri Oct 24 00:42:46 2025 reduce to 296616604 relations and 271905128 ideals in 9 passes
  51. Fri Oct 24 00:42:46 2025 max relations containing the same ideal: 132
  52. Fri Oct 24 00:43:48 2025 removing 13242923 relations and 11242923 ideals in 2000000 cliques
  53. Fri Oct 24 00:43:56 2025 commencing in-memory singleton removal
  54. Fri Oct 24 00:43:57 2025 begin with 283373681 relations and 271905128 unique ideals
  55. Fri Oct 24 00:44:04 2025 reduce to 282833185 relations and 260117749 ideals in 9 passes
  56. Fri Oct 24 00:44:04 2025 max relations containing the same ideal: 129
  57. Fri Oct 24 00:45:05 2025 removing 12343823 relations and 10343823 ideals in 2000000 cliques
  58. Fri Oct 24 00:45:12 2025 commencing in-memory singleton removal
  59. Fri Oct 24 00:45:13 2025 begin with 270489362 relations and 260117749 unique ideals
  60. Fri Oct 24 00:45:20 2025 reduce to 269997282 relations and 249278321 ideals in 9 passes
  61. Fri Oct 24 00:45:20 2025 max relations containing the same ideal: 126
  62. Fri Oct 24 00:46:18 2025 removing 11763892 relations and 9763892 ideals in 2000000 cliques
  63. Fri Oct 24 00:46:25 2025 commencing in-memory singleton removal
  64. Fri Oct 24 00:46:26 2025 begin with 258233390 relations and 249278321 unique ideals
  65. Fri Oct 24 00:46:32 2025 reduce to 257767358 relations and 239045021 ideals in 8 passes
  66. Fri Oct 24 00:46:32 2025 max relations containing the same ideal: 119
  67. Fri Oct 24 00:47:28 2025 removing 11355853 relations and 9355853 ideals in 2000000 cliques
  68. Fri Oct 24 00:47:34 2025 commencing in-memory singleton removal
  69. Fri Oct 24 00:47:36 2025 begin with 246411505 relations and 239045021 unique ideals
  70. Fri Oct 24 00:47:41 2025 reduce to 245957627 relations and 229231856 ideals in 8 passes
  71. Fri Oct 24 00:47:41 2025 max relations containing the same ideal: 114
  72. Fri Oct 24 00:48:35 2025 removing 11060005 relations and 9060005 ideals in 2000000 cliques
  73. Fri Oct 24 00:48:41 2025 commencing in-memory singleton removal
  74. Fri Oct 24 00:48:42 2025 begin with 234897622 relations and 229231856 unique ideals
  75. Fri Oct 24 00:48:48 2025 reduce to 234447587 relations and 219718474 ideals in 9 passes
  76. Fri Oct 24 00:48:48 2025 max relations containing the same ideal: 110
  77. Fri Oct 24 00:49:39 2025 removing 10844021 relations and 8844021 ideals in 2000000 cliques
  78. Fri Oct 24 00:49:45 2025 commencing in-memory singleton removal
  79. Fri Oct 24 00:49:47 2025 begin with 223603566 relations and 219718474 unique ideals
  80. Fri Oct 24 00:49:52 2025 reduce to 223151024 relations and 210418362 ideals in 8 passes
  81. Fri Oct 24 00:49:52 2025 max relations containing the same ideal: 107
  82. Fri Oct 24 00:50:41 2025 removing 10681398 relations and 8681398 ideals in 2000000 cliques
  83. Fri Oct 24 00:50:47 2025 commencing in-memory singleton removal
  84. Fri Oct 24 00:50:48 2025 begin with 212469626 relations and 210418362 unique ideals
  85. Fri Oct 24 00:50:54 2025 reduce to 212011561 relations and 201275190 ideals in 9 passes
  86. Fri Oct 24 00:50:54 2025 max relations containing the same ideal: 105
  87. Fri Oct 24 00:51:40 2025 removing 10561060 relations and 8561060 ideals in 2000000 cliques
  88. Fri Oct 24 00:51:45 2025 commencing in-memory singleton removal
  89. Fri Oct 24 00:51:46 2025 begin with 201450501 relations and 201275190 unique ideals
  90. Fri Oct 24 00:51:51 2025 reduce to 200980340 relations and 192240080 ideals in 8 passes
  91. Fri Oct 24 00:51:51 2025 max relations containing the same ideal: 101
  92. Fri Oct 24 00:52:35 2025 removing 10489516 relations and 8489516 ideals in 2000000 cliques
  93. Fri Oct 24 00:52:40 2025 commencing in-memory singleton removal
  94. Fri Oct 24 00:52:41 2025 begin with 190490824 relations and 192240080 unique ideals
  95. Fri Oct 24 00:52:46 2025 reduce to 190004434 relations and 183259825 ideals in 9 passes
  96. Fri Oct 24 00:52:46 2025 max relations containing the same ideal: 96
  97. Fri Oct 24 00:53:28 2025 removing 10437298 relations and 8437298 ideals in 2000000 cliques
  98. Fri Oct 24 00:53:33 2025 commencing in-memory singleton removal
  99. Fri Oct 24 00:53:34 2025 begin with 179567136 relations and 183259825 unique ideals
  100. Fri Oct 24 00:53:39 2025 reduce to 179054880 relations and 174305538 ideals in 10 passes
  101. Fri Oct 24 00:53:39 2025 max relations containing the same ideal: 93
  102. Fri Oct 24 00:54:18 2025 removing 6169798 relations and 5122455 ideals in 1047343 cliques
  103. Fri Oct 24 00:54:23 2025 commencing in-memory singleton removal
  104. Fri Oct 24 00:54:23 2025 begin with 172885082 relations and 174305538 unique ideals
  105. Fri Oct 24 00:54:27 2025 reduce to 172707927 relations and 169005016 ideals in 8 passes
  106. Fri Oct 24 00:54:27 2025 max relations containing the same ideal: 92
  107. Fri Oct 24 00:55:26 2025 relations with 0 large ideals: 11064
  108. Fri Oct 24 00:55:26 2025 relations with 1 large ideals: 76657
  109. Fri Oct 24 00:55:26 2025 relations with 2 large ideals: 1041710
  110. Fri Oct 24 00:55:26 2025 relations with 3 large ideals: 6186008
  111. Fri Oct 24 00:55:26 2025 relations with 4 large ideals: 20208613
  112. Fri Oct 24 00:55:26 2025 relations with 5 large ideals: 39674284
  113. Fri Oct 24 00:55:26 2025 relations with 6 large ideals: 48258628
  114. Fri Oct 24 00:55:26 2025 relations with 7+ large ideals: 57250963
  115. Fri Oct 24 00:55:26 2025 commencing 2-way merge
  116. Fri Oct 24 00:56:32 2025 reduce to 106173957 relation sets and 102471046 unique ideals
  117. Fri Oct 24 00:56:32 2025 commencing full merge
  118. Fri Oct 24 01:16:48 2025 memory use: 11804.8 MB
  119. Fri Oct 24 01:16:56 2025 found 48816074 cycles, need 48447246
  120. Fri Oct 24 01:17:10 2025 weight of 48447246 cycles is about 5329795274 (110.01/cycle)
  121. Fri Oct 24 01:17:10 2025 distribution of cycle lengths:
  122. Fri Oct 24 01:17:10 2025 1 relations: 4282167
  123. Fri Oct 24 01:17:10 2025 2 relations: 4342482
  124. Fri Oct 24 01:17:10 2025 3 relations: 4333189
  125. Fri Oct 24 01:17:10 2025 4 relations: 4064388
  126. Fri Oct 24 01:17:10 2025 5 relations: 3854463
  127. Fri Oct 24 01:17:10 2025 6 relations: 3475195
  128. Fri Oct 24 01:17:10 2025 7 relations: 3258496
  129. Fri Oct 24 01:17:10 2025 8 relations: 2946603
  130. Fri Oct 24 01:17:10 2025 9 relations: 2660085
  131. Fri Oct 24 01:17:10 2025 10+ relations: 15230178
  132. Fri Oct 24 01:17:10 2025 heaviest cycle: 27 relations
  133. Fri Oct 24 01:17:18 2025 commencing cycle optimization
  134. Fri Oct 24 01:18:23 2025 start with 365431596 relations
  135. Fri Oct 24 01:25:54 2025 pruned 11692261 relations
  136. Fri Oct 24 01:25:54 2025 memory use: 10804.6 MB
  137. Fri Oct 24 01:25:55 2025 distribution of cycle lengths:
  138. Fri Oct 24 01:25:55 2025 1 relations: 4282167
  139. Fri Oct 24 01:25:55 2025 2 relations: 4451255
  140. Fri Oct 24 01:25:55 2025 3 relations: 4505745
  141. Fri Oct 24 01:25:55 2025 4 relations: 4193720
  142. Fri Oct 24 01:25:55 2025 5 relations: 3978722
  143. Fri Oct 24 01:25:55 2025 6 relations: 3572829
  144. Fri Oct 24 01:25:55 2025 7 relations: 3337898
  145. Fri Oct 24 01:25:55 2025 8 relations: 2999077
  146. Fri Oct 24 01:25:55 2025 9 relations: 2705960
  147. Fri Oct 24 01:25:55 2025 10+ relations: 14419873
  148. Fri Oct 24 01:25:55 2025 heaviest cycle: 27 relations
  149. Fri Oct 24 01:26:56 2025 RelProcTime: 5514
  150. Fri Oct 24 01:27:00 2025 elapsed time 01:31:59
  151. Fri Oct 24 01:27:02 2025
  152. Fri Oct 24 01:27:02 2025
  153. Fri Oct 24 01:27:02 2025 Msieve v. 1.54 (SVN Unversioned directory)
  154. Fri Oct 24 01:27:02 2025 random seeds: 59b3bf5c be567e80
  155. Fri Oct 24 01:27:02 2025 MPI process 0 of 1
  156. Fri Oct 24 01:27:02 2025 Using 46 OpenMP threads
  157. Fri Oct 24 01:27:02 2025 factoring 45097124554984358337294718839166211009081952406262469946513129018991056990681455875218624650096099332897783414589930512530352242362719388697229312810346750001575754659846153738414233589967446868991 (197 digits)
  158. Fri Oct 24 01:27:03 2025 no P-1/P+1/ECM available, skipping
  159. Fri Oct 24 01:27:03 2025 commencing number field sieve (197-digit input)
  160. Fri Oct 24 01:27:03 2025 R0: -115838309150038350212575982940468725674
  161. Fri Oct 24 01:27:03 2025 R1: 23720096391529966849093
  162. Fri Oct 24 01:27:03 2025 A0: -62689740185670274156971964260317428750533240125
  163. Fri Oct 24 01:27:03 2025 A1: 8056059398014017918567851816461034169490
  164. Fri Oct 24 01:27:03 2025 A2: 33766332210795679818383035381743
  165. Fri Oct 24 01:27:03 2025 A3: -625882363722888358646112
  166. Fri Oct 24 01:27:03 2025 A4: -614829288048036
  167. Fri Oct 24 01:27:03 2025 A5: 2162160
  168. Fri Oct 24 01:27:03 2025 skew 235958351.59, size 3.491e-19, alpha -8.110, combined = 9.167e-15 rroots = 5
  169. Fri Oct 24 01:27:03 2025
  170. Fri Oct 24 01:27:03 2025 commencing linear algebra
  171. Fri Oct 24 01:27:03 2025 using VBITS=256
  172. Fri Oct 24 01:27:03 2025 stopping after matrix build
  173. Fri Oct 24 01:27:03 2025 initialized process (0,0) of 1 x 1 grid
  174. Fri Oct 24 01:27:19 2025 read 48447246 cycles
  175. Fri Oct 24 01:28:24 2025 cycles contain 170163141 unique relations
  176. Fri Oct 24 01:29:31 2025 read 170163141 relations
  177. Fri Oct 24 01:29:52 2025 using 20 quadratic characters above 4294917295
  178. Fri Oct 24 01:30:09 2025 building initial matrix
  179. Fri Oct 24 01:59:23 2025 memory use: 23809.3 MB
  180. Fri Oct 24 01:59:52 2025 read 48447246 cycles
  181. Fri Oct 24 01:59:57 2025 matrix is 48447066 x 48447246 (21489.3 MB) with weight 6563396979 (135.48/col)
  182. Fri Oct 24 01:59:57 2025 sparse part has weight 5051920074 (104.28/col)
  183. Fri Oct 24 02:08:08 2025 filtering completed in 2 passes
  184. Fri Oct 24 02:08:16 2025 matrix is 48434053 x 48434227 (21488.1 MB) with weight 6562813753 (135.50/col)
  185. Fri Oct 24 02:08:16 2025 sparse part has weight 5051772698 (104.30/col)
  186. Fri Oct 24 02:12:36 2025 BLanczosTime: 2733
  187. Fri Oct 24 02:12:36 2025 elapsed time 00:45:34
  188. Fri Oct 24 02:12:44 2025
  189. Fri Oct 24 02:12:44 2025
  190. Fri Oct 24 02:12:44 2025 Msieve v. 1.54 (SVN Unversioned directory)
  191. Fri Oct 24 02:12:44 2025 random seeds: c117bdb0 97e7dc3e
  192. Fri Oct 24 02:12:44 2025 MPI process 0 of 4
  193. Fri Oct 24 02:12:44 2025 Using 15 OpenMP threads
  194. Fri Oct 24 02:12:44 2025 factoring 45097124554984358337294718839166211009081952406262469946513129018991056990681455875218624650096099332897783414589930512530352242362719388697229312810346750001575754659846153738414233589967446868991 (197 digits)
  195. Fri Oct 24 02:12:44 2025 no P-1/P+1/ECM available, skipping
  196. Fri Oct 24 02:12:44 2025 commencing number field sieve (197-digit input)
  197. Fri Oct 24 02:12:44 2025 R0: -115838309150038350212575982940468725674
  198. Fri Oct 24 02:12:44 2025 R1: 23720096391529966849093
  199. Fri Oct 24 02:12:44 2025 A0: -62689740185670274156971964260317428750533240125
  200. Fri Oct 24 02:12:44 2025 A1: 8056059398014017918567851816461034169490
  201. Fri Oct 24 02:12:44 2025 A2: 33766332210795679818383035381743
  202. Fri Oct 24 02:12:44 2025 A3: -625882363722888358646112
  203. Fri Oct 24 02:12:44 2025 A4: -614829288048036
  204. Fri Oct 24 02:12:44 2025 A5: 2162160
  205. Fri Oct 24 02:12:44 2025 skew 235958351.59, size 3.491e-19, alpha -8.110, combined = 9.167e-15 rroots = 5
  206. Fri Oct 24 02:12:44 2025
  207. Fri Oct 24 02:12:44 2025 commencing linear algebra
  208. Fri Oct 24 02:12:44 2025 using VBITS=256
  209. Fri Oct 24 02:12:44 2025 skipping matrix build
  210. Fri Oct 24 02:12:44 2025 initialized process (0,0) of 2 x 2 grid
  211. Fri Oct 24 02:13:20 2025 matrix starts at (0, 0)
  212. Fri Oct 24 02:13:22 2025 matrix is 24217147 x 24217321 (6297.1 MB) with weight 2115664348 (87.36/col)
  213. Fri Oct 24 02:13:22 2025 sparse part has weight 1360140613 (56.16/col)
  214. Fri Oct 24 02:13:22 2025 saving the first 240 matrix rows for later
  215. Fri Oct 24 02:13:26 2025 matrix includes 256 packed rows
  216. Fri Oct 24 02:13:30 2025 matrix is 24216907 x 24217321 (5562.2 MB) with weight 1166885810 (48.18/col)
  217. Fri Oct 24 02:13:30 2025 sparse part has weight 1070617443 (44.21/col)
  218. Fri Oct 24 02:13:30 2025 using GPU 0 (NVIDIA H200)
  219. Fri Oct 24 02:13:30 2025 selected card has CUDA arch 9.0
  220. Fri Oct 24 02:14:44 2025 commencing Lanczos iteration
  221. Fri Oct 24 02:14:45 2025 memory use: 12787.3 MB
  222. Fri Oct 24 02:14:56 2025 linear algebra at 0.1%, ETA 4h49m
  223. Fri Oct 24 02:15:13 2025 checking every 160000 dimensions, checkpointing every 9920000 dimensions
  224. Fri Oct 24 07:07:13 2025 lanczos halted after 189766 iterations (dim = 48433812)
  225. Fri Oct 24 07:09:52 2025 recovered 28 nontrivial dependencies
  226. Fri Oct 24 07:09:53 2025 BLanczosTime: 17829
  227. Fri Oct 24 07:09:53 2025 elapsed time 04:57:09
  228. Fri Oct 24 17:02:12 2025
  229. Fri Oct 24 17:02:12 2025
  230. Fri Oct 24 17:02:12 2025 Msieve v. 1.54 (SVN Unversioned directory)
  231. Fri Oct 24 17:02:12 2025 random seeds: 86ced982 ee0aadb5
  232. Fri Oct 24 17:02:12 2025 MPI process 0 of 1
  233. Fri Oct 24 17:02:12 2025 Using 32 OpenMP threads
  234. Fri Oct 24 17:02:12 2025 factoring 45097124554984358337294718839166211009081952406262469946513129018991056990681455875218624650096099332897783414589930512530352242362719388697229312810346750001575754659846153738414233589967446868991 (197 digits)
  235. Fri Oct 24 17:02:13 2025 no P-1/P+1/ECM available, skipping
  236. Fri Oct 24 17:02:13 2025 commencing number field sieve (197-digit input)
  237. Fri Oct 24 17:02:13 2025 R0: -115838309150038350212575982940468725674
  238. Fri Oct 24 17:02:13 2025 R1: 23720096391529966849093
  239. Fri Oct 24 17:02:13 2025 A0: -62689740185670274156971964260317428750533240125
  240. Fri Oct 24 17:02:13 2025 A1: 8056059398014017918567851816461034169490
  241. Fri Oct 24 17:02:13 2025 A2: 33766332210795679818383035381743
  242. Fri Oct 24 17:02:13 2025 A3: -625882363722888358646112
  243. Fri Oct 24 17:02:13 2025 A4: -614829288048036
  244. Fri Oct 24 17:02:13 2025 A5: 2162160
  245. Fri Oct 24 17:02:13 2025 skew 235958351.59, size 3.491e-19, alpha -8.110, combined = 9.167e-15 rroots = 5
  246. Fri Oct 24 17:02:13 2025
  247. Fri Oct 24 17:02:13 2025 commencing square root phase
  248. Fri Oct 24 17:02:13 2025 reading relations for dependency 1
  249. Fri Oct 24 17:02:21 2025 read 24214533 cycles
  250. Fri Oct 24 17:03:19 2025 cycles contain 85064784 unique relations
  251. Fri Oct 24 17:05:05 2025 read 85064784 relations
  252. Fri Oct 24 17:12:17 2025 multiplying 85064784 relations
  253. Fri Oct 24 17:24:26 2025 multiply complete, coefficients have about 5309.13 million bits
  254. Fri Oct 24 17:24:44 2025 initial square root is modulo 899519
  255. Fri Oct 24 18:08:09 2025 GCD is 1, no factor found
  256. Fri Oct 24 18:08:09 2025 reading relations for dependency 2
  257. Fri Oct 24 18:08:16 2025 read 24227346 cycles
  258. Fri Oct 24 18:09:10 2025 cycles contain 85108018 unique relations
  259. Fri Oct 24 18:10:31 2025 read 85108018 relations
  260. Fri Oct 24 18:18:30 2025 multiplying 85108018 relations
  261. Fri Oct 24 18:30:35 2025 multiply complete, coefficients have about 5311.84 million bits
  262. Fri Oct 24 18:30:52 2025 initial square root is modulo 905477
  263. Fri Oct 24 19:14:28 2025 sqrtTime: 7935
  264. Fri Oct 24 19:14:28 2025 p82 factor: 4266225000599348250916102482071216065619953153347668462209121970183158775901062607
  265. Fri Oct 24 19:14:28 2025 p116 factor: 10570732802102282022503090022362862250589629483255712890758521121553962888326205675903524894363260768322136041839313
  266. Fri Oct 24 19:14:28 2025 elapsed time 02:12:16
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