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  1. Wed Dec 3 22:27:04 2025
  2. Wed Dec 3 22:27:04 2025
  3. Wed Dec 3 22:27:04 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Dec 3 22:27:04 2025 random seeds: a8b42576 bf7dcaf5
  5. Wed Dec 3 22:27:04 2025 MPI process 0 of 1
  6. Wed Dec 3 22:27:04 2025 Using 32 OpenMP threads
  7. Wed Dec 3 22:27:04 2025 factoring 361161977273306281505815684799174235045154733528148103696822610549748687155754008541211491531492165560633240833558357976288458438330100215627382208094112661193524747007694538071 (177 digits)
  8. Wed Dec 3 22:27:05 2025 searching for 15-digit factors
  9. Wed Dec 3 22:27:06 2025 commencing number field sieve (177-digit input)
  10. Wed Dec 3 22:27:06 2025 R0: -1096931670019966822947574025657905
  11. Wed Dec 3 22:27:06 2025 R1: 4692323070142517876458672559
  12. Wed Dec 3 22:27:06 2025 A0: 924637935337522479474601583705270354664
  13. Wed Dec 3 22:27:06 2025 A1: 1207478637931792886632581830489278
  14. Wed Dec 3 22:27:06 2025 A2: -4249436762682495311966185611
  15. Wed Dec 3 22:27:06 2025 A3: -2024858291641896616945
  16. Wed Dec 3 22:27:06 2025 A4: 1264593976999854
  17. Wed Dec 3 22:27:06 2025 A5: 20873160
  18. Wed Dec 3 22:27:06 2025 skew 978524.09, size 3.171e-17, alpha -6.667, combined = 1.471e-13 rroots = 5
  19. Wed Dec 3 22:27:06 2025
  20. Wed Dec 3 22:27:06 2025 commencing relation filtering
  21. Wed Dec 3 22:27:06 2025 setting target matrix density to 130.0
  22. Wed Dec 3 22:27:06 2025 estimated available RAM is 257736.5 MB
  23. Wed Dec 3 22:27:06 2025 commencing duplicate removal, pass 1
  24. Wed Dec 3 22:27:37 2025 error -1 reading relation 13324780
  25. Wed Dec 3 22:29:05 2025 error -5 reading relation 49916427
  26. Wed Dec 3 22:30:07 2025 error -1 reading relation 76261596
  27. Wed Dec 3 22:30:32 2025 error -1 reading relation 86538181
  28. Wed Dec 3 22:30:32 2025 error -1 reading relation 86676684
  29. Wed Dec 3 22:30:35 2025 error -1 reading relation 87921572
  30. Wed Dec 3 22:30:40 2025 error -1 reading relation 90087500
  31. Wed Dec 3 22:30:41 2025 error -1 reading relation 90483044
  32. Wed Dec 3 22:31:00 2025 error -1 reading relation 97780022
  33. Wed Dec 3 22:31:08 2025 error -1 reading relation 101122029
  34. Wed Dec 3 22:32:09 2025 error -1 reading relation 126193783
  35. Wed Dec 3 22:32:32 2025 error -1 reading relation 135031985
  36. Wed Dec 3 22:33:07 2025 error -1 reading relation 149166868
  37. Wed Dec 3 22:33:33 2025 error -1 reading relation 159859104
  38. Wed Dec 3 22:33:58 2025 error -1 reading relation 170239027
  39. Wed Dec 3 22:34:21 2025 error -1 reading relation 179991475
  40. Wed Dec 3 22:34:23 2025 error -1 reading relation 180767289
  41. Wed Dec 3 22:34:46 2025 error -1 reading relation 190173750
  42. Wed Dec 3 22:35:09 2025 error -15 reading relation 200254162
  43. Wed Dec 3 22:35:22 2025 error -1 reading relation 205470029
  44. Wed Dec 3 22:35:43 2025 error -1 reading relation 214230935
  45. Wed Dec 3 22:35:52 2025 error -1 reading relation 218066662
  46. Wed Dec 3 22:36:09 2025 error -1 reading relation 225278106
  47. Wed Dec 3 22:36:11 2025 error -1 reading relation 225884063
  48. Wed Dec 3 22:36:39 2025 error -1 reading relation 237798318
  49. Wed Dec 3 22:37:07 2025 error -1 reading relation 249449365
  50. Wed Dec 3 22:37:27 2025 error -1 reading relation 257980844
  51. Wed Dec 3 22:37:27 2025 error -1 reading relation 258065436
  52. Wed Dec 3 22:37:28 2025 error -1 reading relation 258334531
  53. Wed Dec 3 22:37:52 2025 error -1 reading relation 268577169
  54. Wed Dec 3 22:37:57 2025 error -1 reading relation 271082498
  55. Wed Dec 3 22:38:47 2025 error -1 reading relation 292311077
  56. Wed Dec 3 22:38:48 2025 error -1 reading relation 292836883
  57. Wed Dec 3 22:39:05 2025 error -1 reading relation 299623296
  58. Wed Dec 3 22:39:13 2025 error -1 reading relation 302832347
  59. Wed Dec 3 22:39:13 2025 error -1 reading relation 302843950
  60. Wed Dec 3 22:39:13 2025 error -1 reading relation 302872316
  61. Wed Dec 3 22:39:17 2025 error -1 reading relation 304640882
  62. Wed Dec 3 22:39:17 2025 error -1 reading relation 304646871
  63. Wed Dec 3 22:39:17 2025 error -1 reading relation 304650202
  64. Wed Dec 3 22:39:19 2025 error -1 reading relation 305470278
  65. Wed Dec 3 22:40:00 2025 error -1 reading relation 323189484
  66. Wed Dec 3 22:40:03 2025 error -1 reading relation 324434458
  67. Wed Dec 3 22:40:18 2025 error -1 reading relation 330226306
  68. Wed Dec 3 22:40:51 2025 error -1 reading relation 344066227
  69. Wed Dec 3 22:42:00 2025 error -1 reading relation 372047328
  70. Wed Dec 3 22:42:09 2025 skipped 270 malformed relations
  71. Wed Dec 3 22:42:09 2025 found 68323145 hash collisions in 375680079 relations
  72. Wed Dec 3 22:42:42 2025 added 122054 free relations
  73. Wed Dec 3 22:42:42 2025 commencing duplicate removal, pass 2
  74. Wed Dec 3 22:52:15 2025 found 68112470 duplicates and 307689663 unique relations
  75. Wed Dec 3 22:52:15 2025 memory use: 1705.5 MB
  76. Wed Dec 3 22:52:15 2025 reading ideals above 720000
  77. Wed Dec 3 22:52:15 2025 commencing singleton removal, initial pass
  78. Wed Dec 3 23:22:48 2025 memory use: 6024.0 MB
  79. Wed Dec 3 23:22:49 2025 reading all ideals from disk
  80. Wed Dec 3 23:22:57 2025 memory use: 14786.6 MB
  81. Wed Dec 3 23:23:49 2025 keeping 302402573 ideals with weight <= 200, target excess is 1648556
  82. Wed Dec 3 23:24:55 2025 commencing in-memory singleton removal
  83. Wed Dec 3 23:25:03 2025 begin with 307689663 relations and 302402573 unique ideals
  84. Wed Dec 3 23:25:40 2025 reduce to 164493024 relations and 141365187 ideals in 21 passes
  85. Wed Dec 3 23:25:40 2025 max relations containing the same ideal: 143
  86. Wed Dec 3 23:27:30 2025 removing 14086484 relations and 12086484 ideals in 2000000 cliques
  87. Wed Dec 3 23:27:42 2025 commencing in-memory singleton removal
  88. Wed Dec 3 23:27:45 2025 begin with 150406540 relations and 141365187 unique ideals
  89. Wed Dec 3 23:28:00 2025 reduce to 149467533 relations and 128324329 ideals in 10 passes
  90. Wed Dec 3 23:28:00 2025 max relations containing the same ideal: 131
  91. Wed Dec 3 23:29:30 2025 removing 10628179 relations and 8628179 ideals in 2000000 cliques
  92. Wed Dec 3 23:29:38 2025 commencing in-memory singleton removal
  93. Wed Dec 3 23:29:41 2025 begin with 138839354 relations and 128324329 unique ideals
  94. Wed Dec 3 23:29:52 2025 reduce to 138222208 relations and 119070383 ideals in 8 passes
  95. Wed Dec 3 23:29:52 2025 max relations containing the same ideal: 125
  96. Wed Dec 3 23:31:13 2025 removing 9567600 relations and 7567600 ideals in 2000000 cliques
  97. Wed Dec 3 23:31:20 2025 commencing in-memory singleton removal
  98. Wed Dec 3 23:31:23 2025 begin with 128654608 relations and 119070383 unique ideals
  99. Wed Dec 3 23:31:33 2025 reduce to 128108306 relations and 110948870 ideals in 8 passes
  100. Wed Dec 3 23:31:33 2025 max relations containing the same ideal: 119
  101. Wed Dec 3 23:32:46 2025 removing 9025622 relations and 7025622 ideals in 2000000 cliques
  102. Wed Dec 3 23:32:52 2025 commencing in-memory singleton removal
  103. Wed Dec 3 23:32:55 2025 begin with 119082684 relations and 110948870 unique ideals
  104. Wed Dec 3 23:33:05 2025 reduce to 118556514 relations and 103389377 ideals in 9 passes
  105. Wed Dec 3 23:33:05 2025 max relations containing the same ideal: 113
  106. Wed Dec 3 23:34:13 2025 removing 8699878 relations and 6699878 ideals in 2000000 cliques
  107. Wed Dec 3 23:34:18 2025 commencing in-memory singleton removal
  108. Wed Dec 3 23:34:21 2025 begin with 109856636 relations and 103389377 unique ideals
  109. Wed Dec 3 23:34:29 2025 reduce to 109328154 relations and 96152860 ideals in 8 passes
  110. Wed Dec 3 23:34:29 2025 max relations containing the same ideal: 107
  111. Wed Dec 3 23:35:31 2025 removing 8496414 relations and 6496414 ideals in 2000000 cliques
  112. Wed Dec 3 23:35:37 2025 commencing in-memory singleton removal
  113. Wed Dec 3 23:35:39 2025 begin with 100831740 relations and 96152860 unique ideals
  114. Wed Dec 3 23:35:47 2025 reduce to 100283730 relations and 89099556 ideals in 8 passes
  115. Wed Dec 3 23:35:47 2025 max relations containing the same ideal: 101
  116. Wed Dec 3 23:36:49 2025 removing 8385274 relations and 6385274 ideals in 2000000 cliques
  117. Wed Dec 3 23:36:54 2025 commencing in-memory singleton removal
  118. Wed Dec 3 23:36:56 2025 begin with 91898456 relations and 89099556 unique ideals
  119. Wed Dec 3 23:37:02 2025 reduce to 91315384 relations and 82121064 ideals in 8 passes
  120. Wed Dec 3 23:37:02 2025 max relations containing the same ideal: 96
  121. Wed Dec 3 23:37:55 2025 removing 8339493 relations and 6339493 ideals in 2000000 cliques
  122. Wed Dec 3 23:37:59 2025 commencing in-memory singleton removal
  123. Wed Dec 3 23:38:01 2025 begin with 82975891 relations and 82121064 unique ideals
  124. Wed Dec 3 23:38:07 2025 reduce to 82341783 relations and 75135397 ideals in 8 passes
  125. Wed Dec 3 23:38:07 2025 max relations containing the same ideal: 87
  126. Wed Dec 3 23:38:56 2025 removing 8354571 relations and 6354571 ideals in 2000000 cliques
  127. Wed Dec 3 23:39:01 2025 commencing in-memory singleton removal
  128. Wed Dec 3 23:39:02 2025 begin with 73987212 relations and 75135397 unique ideals
  129. Wed Dec 3 23:39:09 2025 reduce to 73268651 relations and 68047027 ideals in 10 passes
  130. Wed Dec 3 23:39:09 2025 max relations containing the same ideal: 80
  131. Wed Dec 3 23:39:56 2025 removing 8434553 relations and 6434553 ideals in 2000000 cliques
  132. Wed Dec 3 23:40:02 2025 commencing in-memory singleton removal
  133. Wed Dec 3 23:40:03 2025 begin with 64834098 relations and 68047027 unique ideals
  134. Wed Dec 3 23:40:08 2025 reduce to 63989215 relations and 60747758 ideals in 9 passes
  135. Wed Dec 3 23:40:08 2025 max relations containing the same ideal: 75
  136. Wed Dec 3 23:40:49 2025 removing 6268416 relations and 4939284 ideals in 1329132 cliques
  137. Wed Dec 3 23:40:53 2025 commencing in-memory singleton removal
  138. Wed Dec 3 23:40:54 2025 begin with 57720799 relations and 60747758 unique ideals
  139. Wed Dec 3 23:40:59 2025 reduce to 57198533 relations and 55276705 ideals in 9 passes
  140. Wed Dec 3 23:40:59 2025 max relations containing the same ideal: 70
  141. Wed Dec 3 23:41:34 2025 removing 97561 relations and 88058 ideals in 9503 cliques
  142. Wed Dec 3 23:41:36 2025 commencing in-memory singleton removal
  143. Wed Dec 3 23:41:37 2025 begin with 57100972 relations and 55276705 unique ideals
  144. Wed Dec 3 23:41:40 2025 reduce to 57100862 relations and 55188537 ideals in 5 passes
  145. Wed Dec 3 23:41:40 2025 max relations containing the same ideal: 70
  146. Wed Dec 3 23:41:50 2025 relations with 0 large ideals: 6661
  147. Wed Dec 3 23:41:50 2025 relations with 1 large ideals: 58295
  148. Wed Dec 3 23:41:50 2025 relations with 2 large ideals: 624784
  149. Wed Dec 3 23:41:50 2025 relations with 3 large ideals: 3172112
  150. Wed Dec 3 23:41:50 2025 relations with 4 large ideals: 8964761
  151. Wed Dec 3 23:41:50 2025 relations with 5 large ideals: 15058183
  152. Wed Dec 3 23:41:50 2025 relations with 6 large ideals: 15456509
  153. Wed Dec 3 23:41:50 2025 relations with 7+ large ideals: 13759557
  154. Wed Dec 3 23:41:50 2025 commencing 2-way merge
  155. Wed Dec 3 23:42:38 2025 reduce to 34268486 relation sets and 32356161 unique ideals
  156. Wed Dec 3 23:42:38 2025 commencing full merge
  157. Wed Dec 3 23:57:54 2025 memory use: 3511.7 MB
  158. Wed Dec 3 23:57:58 2025 found 14332927 cycles, need 14280361
  159. Wed Dec 3 23:58:04 2025 weight of 14280361 cycles is about 1856470033 (130.00/cycle)
  160. Wed Dec 3 23:58:04 2025 distribution of cycle lengths:
  161. Wed Dec 3 23:58:04 2025 1 relations: 997483
  162. Wed Dec 3 23:58:04 2025 2 relations: 890616
  163. Wed Dec 3 23:58:04 2025 3 relations: 933454
  164. Wed Dec 3 23:58:04 2025 4 relations: 932094
  165. Wed Dec 3 23:58:04 2025 5 relations: 953525
  166. Wed Dec 3 23:58:04 2025 6 relations: 919514
  167. Wed Dec 3 23:58:04 2025 7 relations: 910307
  168. Wed Dec 3 23:58:04 2025 8 relations: 867187
  169. Wed Dec 3 23:58:04 2025 9 relations: 833667
  170. Wed Dec 3 23:58:04 2025 10+ relations: 6042514
  171. Wed Dec 3 23:58:04 2025 heaviest cycle: 28 relations
  172. Wed Dec 3 23:58:08 2025 commencing cycle optimization
  173. Wed Dec 3 23:58:54 2025 start with 131116068 relations
  174. Thu Dec 4 00:05:13 2025 pruned 5141272 relations
  175. Thu Dec 4 00:05:13 2025 memory use: 3641.2 MB
  176. Thu Dec 4 00:05:14 2025 distribution of cycle lengths:
  177. Thu Dec 4 00:05:14 2025 1 relations: 997483
  178. Thu Dec 4 00:05:14 2025 2 relations: 914591
  179. Thu Dec 4 00:05:14 2025 3 relations: 970126
  180. Thu Dec 4 00:05:14 2025 4 relations: 966885
  181. Thu Dec 4 00:05:14 2025 5 relations: 993075
  182. Thu Dec 4 00:05:14 2025 6 relations: 956912
  183. Thu Dec 4 00:05:14 2025 7 relations: 948091
  184. Thu Dec 4 00:05:14 2025 8 relations: 901145
  185. Thu Dec 4 00:05:14 2025 9 relations: 864593
  186. Thu Dec 4 00:05:14 2025 10+ relations: 5767460
  187. Thu Dec 4 00:05:14 2025 heaviest cycle: 28 relations
  188. Thu Dec 4 00:05:47 2025 RelProcTime: 5921
  189. Thu Dec 4 00:05:47 2025
  190. Thu Dec 4 00:05:47 2025 commencing linear algebra
  191. Thu Dec 4 00:05:47 2025 using VBITS=256
  192. Thu Dec 4 00:05:47 2025 stopping after matrix build
  193. Thu Dec 4 00:05:47 2025 initialized process (0,0) of 1 x 1 grid
  194. Thu Dec 4 00:05:51 2025 read 14280361 cycles
  195. Thu Dec 4 00:06:32 2025 cycles contain 55707105 unique relations
  196. Thu Dec 4 00:13:42 2025 read 55707105 relations
  197. Thu Dec 4 00:13:49 2025 using 20 quadratic characters above 4294917295
  198. Thu Dec 4 00:13:58 2025 building initial matrix
  199. Thu Dec 4 00:29:48 2025 memory use: 7557.2 MB
  200. Thu Dec 4 00:30:04 2025 read 14280361 cycles
  201. Thu Dec 4 00:30:08 2025 matrix is 14280182 x 14280361 (7244.9 MB) with weight 2182857144 (152.86/col)
  202. Thu Dec 4 00:30:08 2025 sparse part has weight 1727835512 (120.99/col)
  203. Thu Dec 4 00:35:26 2025 filtering completed in 2 passes
  204. Thu Dec 4 00:35:30 2025 matrix is 14279090 x 14279268 (7244.8 MB) with weight 2182803892 (152.87/col)
  205. Thu Dec 4 00:35:30 2025 sparse part has weight 1727819207 (121.00/col)
  206. Thu Dec 4 00:37:11 2025 BLanczosTime: 1884
  207. Thu Dec 4 00:37:11 2025 elapsed time 02:10:07
  208. Thu Dec 4 00:56:16 2025
  209. Thu Dec 4 00:56:16 2025
  210. Thu Dec 4 00:56:16 2025 Msieve v. 1.54 (SVN Unversioned directory)
  211. Thu Dec 4 00:56:16 2025 random seeds: 23596475 1d6d6da4
  212. Thu Dec 4 00:56:16 2025 MPI process 0 of 1
  213. Thu Dec 4 00:56:16 2025 Using 64 OpenMP threads
  214. Thu Dec 4 00:56:16 2025 factoring 361161977273306281505815684799174235045154733528148103696822610549748687155754008541211491531492165560633240833558357976288458438330100215627382208094112661193524747007694538071 (177 digits)
  215. Thu Dec 4 00:56:17 2025 searching for 15-digit factors
  216. Thu Dec 4 00:56:18 2025 commencing number field sieve (177-digit input)
  217. Thu Dec 4 00:56:18 2025 R0: -1096931670019966822947574025657905
  218. Thu Dec 4 00:56:18 2025 R1: 4692323070142517876458672559
  219. Thu Dec 4 00:56:18 2025 A0: 924637935337522479474601583705270354664
  220. Thu Dec 4 00:56:18 2025 A1: 1207478637931792886632581830489278
  221. Thu Dec 4 00:56:18 2025 A2: -4249436762682495311966185611
  222. Thu Dec 4 00:56:18 2025 A3: -2024858291641896616945
  223. Thu Dec 4 00:56:18 2025 A4: 1264593976999854
  224. Thu Dec 4 00:56:18 2025 A5: 20873160
  225. Thu Dec 4 00:56:18 2025 skew 978524.09, size 3.171e-17, alpha -6.667, combined = 1.471e-13 rroots = 5
  226. Thu Dec 4 00:56:18 2025
  227. Thu Dec 4 00:56:18 2025 commencing linear algebra
  228. Thu Dec 4 00:56:18 2025 using VBITS=256
  229. Thu Dec 4 00:56:18 2025 skipping matrix build
  230. Thu Dec 4 00:56:18 2025 initialized process (0,0) of 1 x 1 grid
  231. Thu Dec 4 00:56:28 2025 matrix starts at (0, 0)
  232. Thu Dec 4 00:56:35 2025 matrix is 14279090 x 14279268 (7244.8 MB) with weight 2182803892 (152.87/col)
  233. Thu Dec 4 00:56:35 2025 sparse part has weight 1727819207 (121.00/col)
  234. Thu Dec 4 00:56:35 2025 saving the first 240 matrix rows for later
  235. Thu Dec 4 00:56:42 2025 matrix includes 256 packed rows
  236. Thu Dec 4 00:56:53 2025 matrix is 14278850 x 14279268 (6571.5 MB) with weight 1586351200 (111.09/col)
  237. Thu Dec 4 00:56:53 2025 sparse part has weight 1494220156 (104.64/col)
  238. Thu Dec 4 00:56:53 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  239. Thu Dec 4 00:57:28 2025 commencing Lanczos iteration (64 threads)
  240. Thu Dec 4 00:57:28 2025 memory use: 9280.2 MB
  241. Thu Dec 4 00:59:41 2025 linear algebra at 0.2%, ETA 16h56m
  242. Thu Dec 4 01:02:40 2025 checking every 10000 dimensions, checkpointing every 900000 dimensions
  243. Thu Dec 4 16:28:25 2025 lanczos halted after 55946 iterations (dim = 14278848)
  244. Thu Dec 4 16:29:30 2025 recovered 28 nontrivial dependencies
  245. Thu Dec 4 16:29:31 2025 BLanczosTime: 55993
  246. Thu Dec 4 16:29:31 2025
  247. Thu Dec 4 16:29:31 2025 commencing square root phase
  248. Thu Dec 4 16:29:31 2025 handling dependencies 1 to 64
  249. Thu Dec 4 16:29:31 2025 reading relations for dependency 1
  250. Thu Dec 4 16:29:32 2025 read 7139190 cycles
  251. Thu Dec 4 16:29:45 2025 cycles contain 27856916 unique relations
  252. Thu Dec 4 16:34:31 2025 read 27856916 relations
  253. Thu Dec 4 16:36:14 2025 multiplying 27856916 relations
  254. Thu Dec 4 16:39:13 2025 multiply complete, coefficients have about 1810.84 million bits
  255. Thu Dec 4 16:39:17 2025 initial square root is modulo 132718039
  256. Thu Dec 4 16:49:29 2025 GCD is 1, no factor found
  257. Thu Dec 4 16:49:29 2025 reading relations for dependency 2
  258. Thu Dec 4 16:49:30 2025 read 7140888 cycles
  259. Thu Dec 4 16:49:42 2025 cycles contain 27853244 unique relations
  260. Thu Dec 4 16:54:28 2025 read 27853244 relations
  261. Thu Dec 4 16:56:12 2025 multiplying 27853244 relations
  262. Thu Dec 4 17:01:16 2025 multiply complete, coefficients have about 1810.61 million bits
  263. Thu Dec 4 17:01:22 2025 initial square root is modulo 132401333
  264. Thu Dec 4 17:20:10 2025 GCD is 1, no factor found
  265. Thu Dec 4 17:20:10 2025 reading relations for dependency 3
  266. Thu Dec 4 17:20:13 2025 read 7139330 cycles
  267. Thu Dec 4 17:20:33 2025 cycles contain 27854766 unique relations
  268. Thu Dec 4 17:27:26 2025 read 27854766 relations
  269. Thu Dec 4 17:30:24 2025 multiplying 27854766 relations
  270. Thu Dec 4 17:35:28 2025 multiply complete, coefficients have about 1810.69 million bits
  271. Thu Dec 4 17:35:35 2025 initial square root is modulo 132511831
  272. Thu Dec 4 17:54:31 2025 sqrtTime: 5100
  273. Thu Dec 4 17:54:31 2025 p75 factor: 223639765609206540866145845551681243796857424136266721141256049968956740311
  274. Thu Dec 4 17:54:31 2025 p103 factor: 1614927364502828770308204901732959816023620495845357618754688391616756502032184151186593388355496268161
  275. Thu Dec 4 17:54:31 2025 elapsed time 16:58:15
  276.  
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