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  1. Sun Jun 29 19:13:49 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Sun Jun 29 19:13:49 2025 random seeds: f1a88845 f9df2d5f
  3. Sun Jun 29 19:13:49 2025 Using 16 OpenMP threads
  4. Sun Jun 29 19:13:49 2025 factoring 28288319731027361947147063797720458993826244975546272748505051297672832404554421926842796142802099955153879052764842552129884768051520023227843561236943802470830569666212154140411504618331835475175734712571048537533 (215 digits)
  5. Sun Jun 29 19:13:50 2025 no P-1/P+1/ECM available, skipping
  6. Sun Jun 29 19:13:50 2025 commencing number field sieve (215-digit input)
  7. Sun Jun 29 19:13:50 2025 R0: 1500259997434070854049947874911281561380641
  8. Sun Jun 29 19:13:50 2025 R1: -1
  9. Sun Jun 29 19:13:50 2025 A0: -3271
  10. Sun Jun 29 19:13:50 2025 A1: 0
  11. Sun Jun 29 19:13:50 2025 A2: 0
  12. Sun Jun 29 19:13:50 2025 A3: 0
  13. Sun Jun 29 19:13:50 2025 A4: 0
  14. Sun Jun 29 19:13:50 2025 A5: 0
  15. Sun Jun 29 19:13:50 2025 A6: 1
  16. Sun Jun 29 19:13:50 2025 skew 4.97, size 1.292e-12, alpha 0.507, combined = 1.434e-13 rroots = 2
  17. Sun Jun 29 19:13:50 2025
  18. Sun Jun 29 19:13:50 2025 commencing relation filtering
  19. Sun Jun 29 19:13:50 2025 setting target matrix density to 130.0
  20. Sun Jun 29 19:13:50 2025 estimated available RAM is 128734.6 MB
  21. Sun Jun 29 19:13:50 2025 commencing duplicate removal, pass 1
  22. Sun Jun 29 19:15:42 2025 error -15 reading relation 144043279
  23. Sun Jun 29 19:16:02 2025 skipped 32 relations with b > 2^32
  24. Sun Jun 29 19:16:02 2025 found 7112382 hash collisions in 179583592 relations
  25. Sun Jun 29 19:16:09 2025 added 1218339 free relations
  26. Sun Jun 29 19:16:09 2025 commencing duplicate removal, pass 2
  27. Sun Jun 29 19:16:39 2025 found 0 duplicates and 180801931 unique relations
  28. Sun Jun 29 19:16:39 2025 memory use: 554.4 MB
  29. Sun Jun 29 19:16:39 2025 reading ideals above 720000
  30. Sun Jun 29 19:16:39 2025 commencing singleton removal, initial pass
  31. Sun Jun 29 19:22:17 2025 memory use: 3012.0 MB
  32. Sun Jun 29 19:22:17 2025 reading all ideals from disk
  33. Sun Jun 29 19:22:18 2025 memory use: 8721.5 MB
  34. Sun Jun 29 19:22:25 2025 keeping 150392483 ideals with weight <= 200, target excess is 945352
  35. Sun Jun 29 19:22:34 2025 commencing in-memory singleton removal
  36. Sun Jun 29 19:22:37 2025 begin with 180801931 relations and 150392483 unique ideals
  37. Sun Jun 29 19:22:51 2025 reduce to 147346340 relations and 115576230 ideals in 12 passes
  38. Sun Jun 29 19:22:51 2025 max relations containing the same ideal: 184
  39. Sun Jun 29 19:23:15 2025 removing 10159441 relations and 8159441 ideals in 2000000 cliques
  40. Sun Jun 29 19:23:18 2025 commencing in-memory singleton removal
  41. Sun Jun 29 19:23:20 2025 begin with 137186899 relations and 115576230 unique ideals
  42. Sun Jun 29 19:23:28 2025 reduce to 136634121 relations and 106854527 ideals in 8 passes
  43. Sun Jun 29 19:23:28 2025 max relations containing the same ideal: 177
  44. Sun Jun 29 19:23:50 2025 removing 7817769 relations and 5817769 ideals in 2000000 cliques
  45. Sun Jun 29 19:23:53 2025 commencing in-memory singleton removal
  46. Sun Jun 29 19:23:55 2025 begin with 128816352 relations and 106854527 unique ideals
  47. Sun Jun 29 19:24:01 2025 reduce to 128444979 relations and 100659766 ideals in 7 passes
  48. Sun Jun 29 19:24:01 2025 max relations containing the same ideal: 170
  49. Sun Jun 29 19:24:22 2025 removing 7131109 relations and 5131109 ideals in 2000000 cliques
  50. Sun Jun 29 19:24:25 2025 commencing in-memory singleton removal
  51. Sun Jun 29 19:24:26 2025 begin with 121313870 relations and 100659766 unique ideals
  52. Sun Jun 29 19:24:32 2025 reduce to 120987361 relations and 95197176 ideals in 6 passes
  53. Sun Jun 29 19:24:32 2025 max relations containing the same ideal: 162
  54. Sun Jun 29 19:24:52 2025 removing 6781947 relations and 4781947 ideals in 2000000 cliques
  55. Sun Jun 29 19:24:54 2025 commencing in-memory singleton removal
  56. Sun Jun 29 19:24:56 2025 begin with 114205414 relations and 95197176 unique ideals
  57. Sun Jun 29 19:25:02 2025 reduce to 113898905 relations and 90104024 ideals in 7 passes
  58. Sun Jun 29 19:25:02 2025 max relations containing the same ideal: 160
  59. Sun Jun 29 19:25:21 2025 removing 6567557 relations and 4567557 ideals in 2000000 cliques
  60. Sun Jun 29 19:25:23 2025 commencing in-memory singleton removal
  61. Sun Jun 29 19:25:24 2025 begin with 107331348 relations and 90104024 unique ideals
  62. Sun Jun 29 19:25:30 2025 reduce to 107031922 relations and 85232241 ideals in 7 passes
  63. Sun Jun 29 19:25:30 2025 max relations containing the same ideal: 149
  64. Sun Jun 29 19:25:48 2025 removing 6428726 relations and 4428726 ideals in 2000000 cliques
  65. Sun Jun 29 19:25:50 2025 commencing in-memory singleton removal
  66. Sun Jun 29 19:25:51 2025 begin with 100603196 relations and 85232241 unique ideals
  67. Sun Jun 29 19:25:56 2025 reduce to 100304286 relations and 80499651 ideals in 6 passes
  68. Sun Jun 29 19:25:56 2025 max relations containing the same ideal: 145
  69. Sun Jun 29 19:26:13 2025 removing 6335060 relations and 4335060 ideals in 2000000 cliques
  70. Sun Jun 29 19:26:15 2025 commencing in-memory singleton removal
  71. Sun Jun 29 19:26:16 2025 begin with 93969226 relations and 80499651 unique ideals
  72. Sun Jun 29 19:26:20 2025 reduce to 93664642 relations and 75854632 ideals in 6 passes
  73. Sun Jun 29 19:26:20 2025 max relations containing the same ideal: 137
  74. Sun Jun 29 19:26:37 2025 removing 6274779 relations and 4274779 ideals in 2000000 cliques
  75. Sun Jun 29 19:26:38 2025 commencing in-memory singleton removal
  76. Sun Jun 29 19:26:40 2025 begin with 87389863 relations and 75854632 unique ideals
  77. Sun Jun 29 19:26:44 2025 reduce to 87076202 relations and 71260287 ideals in 7 passes
  78. Sun Jun 29 19:26:44 2025 max relations containing the same ideal: 130
  79. Sun Jun 29 19:26:59 2025 removing 6240280 relations and 4240280 ideals in 2000000 cliques
  80. Sun Jun 29 19:27:01 2025 commencing in-memory singleton removal
  81. Sun Jun 29 19:27:02 2025 begin with 80835922 relations and 71260287 unique ideals
  82. Sun Jun 29 19:27:06 2025 reduce to 80504929 relations and 66682258 ideals in 7 passes
  83. Sun Jun 29 19:27:06 2025 max relations containing the same ideal: 124
  84. Sun Jun 29 19:27:20 2025 removing 6231270 relations and 4231270 ideals in 2000000 cliques
  85. Sun Jun 29 19:27:22 2025 commencing in-memory singleton removal
  86. Sun Jun 29 19:27:23 2025 begin with 74273659 relations and 66682258 unique ideals
  87. Sun Jun 29 19:27:26 2025 reduce to 73919666 relations and 62089372 ideals in 6 passes
  88. Sun Jun 29 19:27:26 2025 max relations containing the same ideal: 120
  89. Sun Jun 29 19:27:39 2025 removing 6243548 relations and 4243548 ideals in 2000000 cliques
  90. Sun Jun 29 19:27:41 2025 commencing in-memory singleton removal
  91. Sun Jun 29 19:27:42 2025 begin with 67676118 relations and 62089372 unique ideals
  92. Sun Jun 29 19:27:45 2025 reduce to 67290712 relations and 57451555 ideals in 7 passes
  93. Sun Jun 29 19:27:45 2025 max relations containing the same ideal: 114
  94. Sun Jun 29 19:27:57 2025 removing 6275381 relations and 4275381 ideals in 2000000 cliques
  95. Sun Jun 29 19:27:58 2025 commencing in-memory singleton removal
  96. Sun Jun 29 19:27:59 2025 begin with 61015331 relations and 57451555 unique ideals
  97. Sun Jun 29 19:28:02 2025 reduce to 60589834 relations and 52739979 ideals in 7 passes
  98. Sun Jun 29 19:28:02 2025 max relations containing the same ideal: 109
  99. Sun Jun 29 19:28:13 2025 removing 6335376 relations and 4335376 ideals in 2000000 cliques
  100. Sun Jun 29 19:28:15 2025 commencing in-memory singleton removal
  101. Sun Jun 29 19:28:15 2025 begin with 54254458 relations and 52739979 unique ideals
  102. Sun Jun 29 19:28:18 2025 reduce to 53773086 relations and 47909404 ideals in 7 passes
  103. Sun Jun 29 19:28:18 2025 max relations containing the same ideal: 98
  104. Sun Jun 29 19:28:28 2025 removing 6415586 relations and 4415586 ideals in 2000000 cliques
  105. Sun Jun 29 19:28:30 2025 commencing in-memory singleton removal
  106. Sun Jun 29 19:28:30 2025 begin with 47357500 relations and 47909404 unique ideals
  107. Sun Jun 29 19:28:32 2025 reduce to 46798391 relations and 42917063 ideals in 7 passes
  108. Sun Jun 29 19:28:32 2025 max relations containing the same ideal: 90
  109. Sun Jun 29 19:28:42 2025 removing 6525510 relations and 4525510 ideals in 2000000 cliques
  110. Sun Jun 29 19:28:43 2025 commencing in-memory singleton removal
  111. Sun Jun 29 19:28:43 2025 begin with 40272881 relations and 42917063 unique ideals
  112. Sun Jun 29 19:28:46 2025 reduce to 39600915 relations and 37695410 ideals in 9 passes
  113. Sun Jun 29 19:28:46 2025 max relations containing the same ideal: 81
  114. Sun Jun 29 19:28:54 2025 removing 3230859 relations and 2421963 ideals in 808896 cliques
  115. Sun Jun 29 19:28:55 2025 commencing in-memory singleton removal
  116. Sun Jun 29 19:28:55 2025 begin with 36370056 relations and 37695410 unique ideals
  117. Sun Jun 29 19:28:57 2025 reduce to 36172928 relations and 35072936 ideals in 7 passes
  118. Sun Jun 29 19:28:57 2025 max relations containing the same ideal: 73
  119. Sun Jun 29 19:29:07 2025 relations with 0 large ideals: 35536
  120. Sun Jun 29 19:29:07 2025 relations with 1 large ideals: 16452
  121. Sun Jun 29 19:29:07 2025 relations with 2 large ideals: 196647
  122. Sun Jun 29 19:29:07 2025 relations with 3 large ideals: 1203494
  123. Sun Jun 29 19:29:07 2025 relations with 4 large ideals: 3968443
  124. Sun Jun 29 19:29:07 2025 relations with 5 large ideals: 7810566
  125. Sun Jun 29 19:29:07 2025 relations with 6 large ideals: 9626257
  126. Sun Jun 29 19:29:07 2025 relations with 7+ large ideals: 13315533
  127. Sun Jun 29 19:29:07 2025 commencing 2-way merge
  128. Sun Jun 29 19:29:18 2025 reduce to 23594994 relation sets and 22495002 unique ideals
  129. Sun Jun 29 19:29:18 2025 commencing full merge
  130. Sun Jun 29 19:34:52 2025 memory use: 3064.7 MB
  131. Sun Jun 29 19:34:53 2025 found 10421891 cycles, need 10393202
  132. Sun Jun 29 19:34:55 2025 weight of 10393202 cycles is about 1351861197 (130.07/cycle)
  133. Sun Jun 29 19:34:55 2025 distribution of cycle lengths:
  134. Sun Jun 29 19:34:55 2025 1 relations: 451469
  135. Sun Jun 29 19:34:55 2025 2 relations: 583498
  136. Sun Jun 29 19:34:55 2025 3 relations: 664013
  137. Sun Jun 29 19:34:55 2025 4 relations: 685831
  138. Sun Jun 29 19:34:55 2025 5 relations: 708301
  139. Sun Jun 29 19:34:55 2025 6 relations: 710235
  140. Sun Jun 29 19:34:55 2025 7 relations: 702335
  141. Sun Jun 29 19:34:55 2025 8 relations: 683456
  142. Sun Jun 29 19:34:55 2025 9 relations: 652420
  143. Sun Jun 29 19:34:55 2025 10+ relations: 4551644
  144. Sun Jun 29 19:34:55 2025 heaviest cycle: 28 relations
  145. Sun Jun 29 19:34:57 2025 commencing cycle optimization
  146. Sun Jun 29 19:35:11 2025 start with 97831319 relations
  147. Sun Jun 29 19:37:22 2025 pruned 4999335 relations
  148. Sun Jun 29 19:37:22 2025 memory use: 2495.3 MB
  149. Sun Jun 29 19:37:22 2025 distribution of cycle lengths:
  150. Sun Jun 29 19:37:22 2025 1 relations: 451469
  151. Sun Jun 29 19:37:22 2025 2 relations: 597811
  152. Sun Jun 29 19:37:22 2025 3 relations: 692317
  153. Sun Jun 29 19:37:22 2025 4 relations: 716050
  154. Sun Jun 29 19:37:22 2025 5 relations: 746234
  155. Sun Jun 29 19:37:22 2025 6 relations: 748486
  156. Sun Jun 29 19:37:22 2025 7 relations: 743399
  157. Sun Jun 29 19:37:22 2025 8 relations: 723158
  158. Sun Jun 29 19:37:22 2025 9 relations: 689893
  159. Sun Jun 29 19:37:22 2025 10+ relations: 4284385
  160. Sun Jun 29 19:37:22 2025 heaviest cycle: 28 relations
  161. Sun Jun 29 19:37:32 2025 RelProcTime: 1422
  162. Sun Jun 29 19:37:32 2025 elapsed time 00:23:43
  163. Sun Jun 29 21:00:25 2025
  164. Sun Jun 29 21:00:25 2025
  165. Sun Jun 29 21:00:25 2025 Msieve v. 1.54 (SVN 66ed352)
  166. Sun Jun 29 21:00:25 2025 random seeds: 0d9f02db 58bcdd9c
  167. Sun Jun 29 21:00:25 2025 MPI process 0 of 2
  168. Sun Jun 29 21:00:25 2025 Using 8 OpenMP threads
  169. Sun Jun 29 21:00:25 2025 factoring 28288319731027361947147063797720458993826244975546272748505051297672832404554421926842796142802099955153879052764842552129884768051520023227843561236943802470830569666212154140411504618331835475175734712571048537533 (215 digits)
  170. Sun Jun 29 21:00:26 2025 no P-1/P+1/ECM available, skipping
  171. Sun Jun 29 21:00:26 2025 commencing number field sieve (215-digit input)
  172. Sun Jun 29 21:00:26 2025 R0: 1500259997434070854049947874911281561380641
  173. Sun Jun 29 21:00:26 2025 R1: -1
  174. Sun Jun 29 21:00:26 2025 A0: -3271
  175. Sun Jun 29 21:00:26 2025 A1: 0
  176. Sun Jun 29 21:00:26 2025 A2: 0
  177. Sun Jun 29 21:00:26 2025 A3: 0
  178. Sun Jun 29 21:00:26 2025 A4: 0
  179. Sun Jun 29 21:00:26 2025 A5: 0
  180. Sun Jun 29 21:00:26 2025 A6: 1
  181. Sun Jun 29 21:00:26 2025 skew 4.97, size 1.292e-12, alpha 0.507, combined = 1.434e-13 rroots = 2
  182. Sun Jun 29 21:00:26 2025
  183. Sun Jun 29 21:00:26 2025 commencing linear algebra
  184. Sun Jun 29 21:00:26 2025 using VBITS=256
  185. Sun Jun 29 21:00:26 2025 initialized process (0,0) of 1 x 2 grid
  186. Sun Jun 29 21:00:26 2025 read 10393202 cycles
  187. Sun Jun 29 21:00:39 2025 cycles contain 35585619 unique relations
  188. Sun Jun 29 21:01:05 2025 read 35585619 relations
  189. Sun Jun 29 21:01:12 2025 using 20 quadratic characters above 4294917295
  190. Sun Jun 29 21:01:21 2025 building initial matrix
  191. Sun Jun 29 21:05:56 2025 memory use: 4774.1 MB
  192. Sun Jun 29 21:06:01 2025 read 10393202 cycles
  193. Sun Jun 29 21:06:02 2025 matrix is 10393025 x 10393202 (5231.7 MB) with weight 1513607880 (145.63/col)
  194. Sun Jun 29 21:06:02 2025 sparse part has weight 1257121097 (120.96/col)
  195. Sun Jun 29 21:07:04 2025 filtering completed in 2 passes
  196. Sun Jun 29 21:07:05 2025 matrix is 10392907 x 10393079 (5231.6 MB) with weight 1513603185 (145.64/col)
  197. Sun Jun 29 21:07:05 2025 sparse part has weight 1257119407 (120.96/col)
  198. Sun Jun 29 21:07:25 2025 matrix starts at (0, 0)
  199. Sun Jun 29 21:07:25 2025 matrix is 10392907 x 5196535 (2615.8 MB) with weight 756796677 (145.63/col)
  200. Sun Jun 29 21:07:25 2025 sparse part has weight 628559829 (120.96/col)
  201. Sun Jun 29 21:07:25 2025 saving the first 240 matrix rows for later
  202. Sun Jun 29 21:07:26 2025 matrix includes 256 packed rows
  203. Sun Jun 29 21:07:28 2025 matrix is 10392667 x 5196535 (2384.4 MB) with weight 571393265 (109.96/col)
  204. Sun Jun 29 21:07:28 2025 sparse part has weight 541920411 (104.28/col)
  205. Sun Jun 29 21:07:28 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  206. Sun Jun 29 21:07:28 2025 selected card has CUDA arch 8.6
  207. Sun Jun 29 21:07:47 2025 commencing Lanczos iteration
  208. Sun Jun 29 21:07:48 2025 memory use: 5938.4 MB
  209. Sun Jun 29 21:08:07 2025 linear algebra at 0.3%, ETA 1h47m
  210. Sun Jun 29 21:08:34 2025 checking every 100000 dimensions, checkpointing every 6100000 dimensions
  211. Sun Jun 29 22:50:34 2025 lanczos halted after 40718 iterations (dim = 10392665)
  212. Sun Jun 29 22:51:01 2025 recovered 36 nontrivial dependencies
  213. Sun Jun 29 22:51:01 2025 BLanczosTime: 6635
  214. Sun Jun 29 22:51:01 2025 elapsed time 01:50:36
  215. Mon Jun 30 18:58:28 2025
  216. Mon Jun 30 18:58:28 2025
  217. Mon Jun 30 18:58:28 2025 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  218. Mon Jun 30 18:58:28 2025 random seeds: 1a884bb1 725b5fd4
  219. Mon Jun 30 18:58:28 2025 Using 16 OpenMP threads
  220. Mon Jun 30 18:58:28 2025 factoring 28288319731027361947147063797720458993826244975546272748505051297672832404554421926842796142802099955153879052764842552129884768051520023227843561236943802470830569666212154140411504618331835475175734712571048537533 (215 digits)
  221. Mon Jun 30 18:58:29 2025 no P-1/P+1/ECM available, skipping
  222. Mon Jun 30 18:58:29 2025 commencing number field sieve (215-digit input)
  223. Mon Jun 30 18:58:29 2025 R0: 1500259997434070854049947874911281561380641
  224. Mon Jun 30 18:58:29 2025 R1: -1
  225. Mon Jun 30 18:58:29 2025 A0: -3271
  226. Mon Jun 30 18:58:29 2025 A1: 0
  227. Mon Jun 30 18:58:29 2025 A2: 0
  228. Mon Jun 30 18:58:29 2025 A3: 0
  229. Mon Jun 30 18:58:29 2025 A4: 0
  230. Mon Jun 30 18:58:29 2025 A5: 0
  231. Mon Jun 30 18:58:29 2025 A6: 1
  232. Mon Jun 30 18:58:29 2025 skew 4.97, size 1.292e-12, alpha 0.507, combined = 1.434e-13 rroots = 2
  233. Mon Jun 30 18:58:29 2025
  234. Mon Jun 30 18:58:29 2025 commencing square root phase
  235. Mon Jun 30 18:58:29 2025 reading relations for dependency 1
  236. Mon Jun 30 18:58:29 2025 read 5194348 cycles
  237. Mon Jun 30 18:58:36 2025 cycles contain 17786258 unique relations
  238. Mon Jun 30 18:58:55 2025 read 17786258 relations
  239. Mon Jun 30 18:59:35 2025 multiplying 17786258 relations
  240. Mon Jun 30 19:00:18 2025 multiply complete, coefficients have about 474.27 million bits
  241. Mon Jun 30 19:00:18 2025 initial square root is modulo 323461357
  242. Mon Jun 30 19:01:50 2025 found factor: 8001112444243822960202203445003455086816721040522135323286071
  243. Mon Jun 30 19:01:50 2025 reading relations for dependency 2
  244. Mon Jun 30 19:01:50 2025 read 5196513 cycles
  245. Mon Jun 30 19:01:57 2025 cycles contain 17789140 unique relations
  246. Mon Jun 30 19:02:06 2025 read 17789140 relations
  247. Mon Jun 30 19:02:47 2025 multiplying 17789140 relations
  248. Mon Jun 30 19:03:29 2025 multiply complete, coefficients have about 474.34 million bits
  249. Mon Jun 30 19:03:30 2025 initial square root is modulo 324506107
  250. Mon Jun 30 19:05:02 2025 GCD is N, no factor found
  251. Mon Jun 30 19:05:02 2025 reading relations for dependency 3
  252. Mon Jun 30 19:05:02 2025 read 5198150 cycles
  253. Mon Jun 30 19:05:09 2025 cycles contain 17796722 unique relations
  254. Mon Jun 30 19:05:18 2025 read 17796722 relations
  255. Mon Jun 30 19:05:59 2025 multiplying 17796722 relations
  256. Mon Jun 30 19:06:41 2025 multiply complete, coefficients have about 474.55 million bits
  257. Mon Jun 30 19:06:42 2025 initial square root is modulo 327255991
  258. Mon Jun 30 19:08:13 2025 found factor: 8001112444243822960202203445003455086816721040522135323286071
  259. Mon Jun 30 19:08:13 2025 reading relations for dependency 4
  260. Mon Jun 30 19:08:13 2025 read 5195061 cycles
  261. Mon Jun 30 19:08:19 2025 cycles contain 17785668 unique relations
  262. Mon Jun 30 19:08:28 2025 read 17785668 relations
  263. Mon Jun 30 19:09:07 2025 multiplying 17785668 relations
  264. Mon Jun 30 19:09:50 2025 multiply complete, coefficients have about 474.25 million bits
  265. Mon Jun 30 19:09:51 2025 initial square root is modulo 323303779
  266. Mon Jun 30 19:11:23 2025 sqrtTime: 774
  267. Mon Jun 30 19:11:23 2025 p61 factor: 8001112444243822960202203445003455086816721040522135323286071
  268. Mon Jun 30 19:11:23 2025 p67 factor: 2001973861522894546848392965411292002188794368159586664785336188019
  269. Mon Jun 30 19:11:23 2025 p88 factor: 1766031213884353780862910943964425461058471889190525113213583807914081303837442542269417
  270. Mon Jun 30 19:11:23 2025 elapsed time 00:12:55
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