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Mar 31st, 2025
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  1. Sun Mar 30 13:47:37 2025
  2. Sun Mar 30 13:47:37 2025
  3. Sun Mar 30 13:47:37 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Mar 30 13:47:37 2025 random seeds: 6e73cf52 e6cc4849
  5. Sun Mar 30 13:47:37 2025 MPI process 0 of 1
  6. Sun Mar 30 13:47:37 2025 Using 32 OpenMP threads
  7. Sun Mar 30 13:47:37 2025 factoring 607447958473999952274519253176828861549627658352171709002903981132918018987068190293019263558577484962807966784116685677571654122211278958447284498251707077808331 (162 digits)
  8. Sun Mar 30 13:47:38 2025 searching for 15-digit factors
  9. Sun Mar 30 13:47:38 2025 commencing number field sieve (162-digit input)
  10. Sun Mar 30 13:47:38 2025 R0: -22540404912715328272126214345019
  11. Sun Mar 30 13:47:38 2025 R1: 30656723807098481
  12. Sun Mar 30 13:47:38 2025 A0: -617205213588525866469168675840396194800
  13. Sun Mar 30 13:47:38 2025 A1: 5490576836988934212599863562441970
  14. Sun Mar 30 13:47:38 2025 A2: 300806392419358839005961281
  15. Sun Mar 30 13:47:38 2025 A3: -84468813856423955016
  16. Sun Mar 30 13:47:38 2025 A4: 1982292170804
  17. Sun Mar 30 13:47:38 2025 A5: 104400
  18. Sun Mar 30 13:47:38 2025 skew 14112350.23, size 8.428e-16, alpha -7.531, combined = 1.025e-12 rroots = 3
  19. Sun Mar 30 13:47:38 2025
  20. Sun Mar 30 13:47:38 2025 commencing relation filtering
  21. Sun Mar 30 13:47:38 2025 setting target matrix density to 110.0
  22. Sun Mar 30 13:47:38 2025 estimated available RAM is 257736.5 MB
  23. Sun Mar 30 13:47:38 2025 commencing duplicate removal, pass 1
  24. Sun Mar 30 13:49:59 2025 error -1 reading relation 60753075
  25. Sun Mar 30 13:50:00 2025 error -1 reading relation 61133067
  26. Sun Mar 30 13:50:27 2025 error -1 reading relation 72267467
  27. Sun Mar 30 13:51:47 2025 error -1 reading relation 110853921
  28. Sun Mar 30 13:51:47 2025 error -1 reading relation 111221349
  29. Sun Mar 30 13:51:51 2025 error -1 reading relation 113696336
  30. Sun Mar 30 13:51:51 2025 error -1 reading relation 113848644
  31. Sun Mar 30 13:51:52 2025 error -1 reading relation 114127905
  32. Sun Mar 30 13:51:57 2025 error -1 reading relation 117563732
  33. Sun Mar 30 13:52:09 2025 error -1 reading relation 125915355
  34. Sun Mar 30 13:52:44 2025 error -1 reading relation 141714213
  35. Sun Mar 30 13:52:49 2025 error -1 reading relation 143514867
  36. Sun Mar 30 13:53:02 2025 skipped 129 malformed relations
  37. Sun Mar 30 13:53:02 2025 found 26532568 hash collisions in 148499930 relations
  38. Sun Mar 30 13:53:32 2025 added 121817 free relations
  39. Sun Mar 30 13:53:32 2025 commencing duplicate removal, pass 2
  40. Sun Mar 30 13:57:58 2025 found 26978773 duplicates and 121642974 unique relations
  41. Sun Mar 30 13:57:58 2025 memory use: 852.8 MB
  42. Sun Mar 30 13:57:58 2025 reading ideals above 720000
  43. Sun Mar 30 13:57:58 2025 commencing singleton removal, initial pass
  44. Sun Mar 30 14:09:26 2025 memory use: 3012.0 MB
  45. Sun Mar 30 14:09:28 2025 reading all ideals from disk
  46. Sun Mar 30 14:09:30 2025 memory use: 5510.6 MB
  47. Sun Mar 30 14:09:42 2025 keeping 125483151 ideals with weight <= 200, target excess is 591329
  48. Sun Mar 30 14:09:56 2025 commencing in-memory singleton removal
  49. Sun Mar 30 14:09:58 2025 begin with 121642974 relations and 125483151 unique ideals
  50. Sun Mar 30 14:10:08 2025 reduce to 61054548 relations and 56856488 ideals in 18 passes
  51. Sun Mar 30 14:10:08 2025 max relations containing the same ideal: 135
  52. Sun Mar 30 14:10:53 2025 removing 4268254 relations and 3868254 ideals in 400000 cliques
  53. Sun Mar 30 14:10:57 2025 commencing in-memory singleton removal
  54. Sun Mar 30 14:10:58 2025 begin with 56786294 relations and 56856488 unique ideals
  55. Sun Mar 30 14:11:04 2025 reduce to 56509173 relations and 52708302 ideals in 11 passes
  56. Sun Mar 30 14:11:04 2025 max relations containing the same ideal: 125
  57. Sun Mar 30 14:11:42 2025 removing 3149869 relations and 2749869 ideals in 400000 cliques
  58. Sun Mar 30 14:11:44 2025 commencing in-memory singleton removal
  59. Sun Mar 30 14:11:45 2025 begin with 53359304 relations and 52708302 unique ideals
  60. Sun Mar 30 14:11:50 2025 reduce to 53195031 relations and 49792738 ideals in 11 passes
  61. Sun Mar 30 14:11:50 2025 max relations containing the same ideal: 120
  62. Sun Mar 30 14:12:25 2025 removing 2800516 relations and 2400516 ideals in 400000 cliques
  63. Sun Mar 30 14:12:27 2025 commencing in-memory singleton removal
  64. Sun Mar 30 14:12:28 2025 begin with 50394515 relations and 49792738 unique ideals
  65. Sun Mar 30 14:12:32 2025 reduce to 50255031 relations and 47251576 ideals in 9 passes
  66. Sun Mar 30 14:12:32 2025 max relations containing the same ideal: 117
  67. Sun Mar 30 14:13:04 2025 removing 2615936 relations and 2215936 ideals in 400000 cliques
  68. Sun Mar 30 14:13:06 2025 commencing in-memory singleton removal
  69. Sun Mar 30 14:13:07 2025 begin with 47639095 relations and 47251576 unique ideals
  70. Sun Mar 30 14:13:11 2025 reduce to 47509084 relations and 44904630 ideals in 8 passes
  71. Sun Mar 30 14:13:11 2025 max relations containing the same ideal: 114
  72. Sun Mar 30 14:13:42 2025 removing 2498643 relations and 2098643 ideals in 400000 cliques
  73. Sun Mar 30 14:13:44 2025 commencing in-memory singleton removal
  74. Sun Mar 30 14:13:45 2025 begin with 45010441 relations and 44904630 unique ideals
  75. Sun Mar 30 14:13:48 2025 reduce to 44885707 relations and 42680162 ideals in 9 passes
  76. Sun Mar 30 14:13:48 2025 max relations containing the same ideal: 109
  77. Sun Mar 30 14:14:18 2025 removing 2422464 relations and 2022464 ideals in 400000 cliques
  78. Sun Mar 30 14:14:20 2025 commencing in-memory singleton removal
  79. Sun Mar 30 14:14:21 2025 begin with 42463243 relations and 42680162 unique ideals
  80. Sun Mar 30 14:14:24 2025 reduce to 42339410 relations and 40532841 ideals in 9 passes
  81. Sun Mar 30 14:14:24 2025 max relations containing the same ideal: 105
  82. Sun Mar 30 14:14:54 2025 removing 2371690 relations and 1971690 ideals in 400000 cliques
  83. Sun Mar 30 14:14:55 2025 commencing in-memory singleton removal
  84. Sun Mar 30 14:14:56 2025 begin with 39967720 relations and 40532841 unique ideals
  85. Sun Mar 30 14:14:59 2025 reduce to 39840572 relations and 38432902 ideals in 9 passes
  86. Sun Mar 30 14:14:59 2025 max relations containing the same ideal: 98
  87. Sun Mar 30 14:15:28 2025 removing 2339624 relations and 1939624 ideals in 400000 cliques
  88. Sun Mar 30 14:15:30 2025 commencing in-memory singleton removal
  89. Sun Mar 30 14:15:30 2025 begin with 37500948 relations and 38432902 unique ideals
  90. Sun Mar 30 14:15:33 2025 reduce to 37369224 relations and 36360304 ideals in 9 passes
  91. Sun Mar 30 14:15:33 2025 max relations containing the same ideal: 94
  92. Sun Mar 30 14:16:00 2025 removing 1952254 relations and 1629276 ideals in 322978 cliques
  93. Sun Mar 30 14:16:02 2025 commencing in-memory singleton removal
  94. Sun Mar 30 14:16:03 2025 begin with 35416970 relations and 36360304 unique ideals
  95. Sun Mar 30 14:16:05 2025 reduce to 35320689 relations and 34633938 ideals in 8 passes
  96. Sun Mar 30 14:16:05 2025 max relations containing the same ideal: 89
  97. Sun Mar 30 14:16:36 2025 relations with 0 large ideals: 2107
  98. Sun Mar 30 14:16:36 2025 relations with 1 large ideals: 8911
  99. Sun Mar 30 14:16:36 2025 relations with 2 large ideals: 139225
  100. Sun Mar 30 14:16:36 2025 relations with 3 large ideals: 948772
  101. Sun Mar 30 14:16:36 2025 relations with 4 large ideals: 3496639
  102. Sun Mar 30 14:16:36 2025 relations with 5 large ideals: 7622314
  103. Sun Mar 30 14:16:36 2025 relations with 6 large ideals: 10153775
  104. Sun Mar 30 14:16:36 2025 relations with 7+ large ideals: 12948946
  105. Sun Mar 30 14:16:36 2025 commencing 2-way merge
  106. Sun Mar 30 14:17:09 2025 reduce to 21124595 relation sets and 20437844 unique ideals
  107. Sun Mar 30 14:17:09 2025 commencing full merge
  108. Sun Mar 30 14:27:07 2025 memory use: 2282.3 MB
  109. Sun Mar 30 14:27:08 2025 found 9123572 cycles, need 9116044
  110. Sun Mar 30 14:27:11 2025 weight of 9116044 cycles is about 1003340259 (110.06/cycle)
  111. Sun Mar 30 14:27:11 2025 distribution of cycle lengths:
  112. Sun Mar 30 14:27:11 2025 1 relations: 870180
  113. Sun Mar 30 14:27:11 2025 2 relations: 738195
  114. Sun Mar 30 14:27:11 2025 3 relations: 731042
  115. Sun Mar 30 14:27:11 2025 4 relations: 688549
  116. Sun Mar 30 14:27:11 2025 5 relations: 654909
  117. Sun Mar 30 14:27:11 2025 6 relations: 605280
  118. Sun Mar 30 14:27:11 2025 7 relations: 570318
  119. Sun Mar 30 14:27:11 2025 8 relations: 523264
  120. Sun Mar 30 14:27:11 2025 9 relations: 472222
  121. Sun Mar 30 14:27:11 2025 10+ relations: 3262085
  122. Sun Mar 30 14:27:11 2025 heaviest cycle: 28 relations
  123. Sun Mar 30 14:27:12 2025 commencing cycle optimization
  124. Sun Mar 30 14:27:27 2025 start with 75472885 relations
  125. Sun Mar 30 14:31:15 2025 pruned 2450243 relations
  126. Sun Mar 30 14:31:16 2025 memory use: 2200.6 MB
  127. Sun Mar 30 14:31:17 2025 distribution of cycle lengths:
  128. Sun Mar 30 14:31:17 2025 1 relations: 870180
  129. Sun Mar 30 14:31:17 2025 2 relations: 757738
  130. Sun Mar 30 14:31:17 2025 3 relations: 759321
  131. Sun Mar 30 14:31:17 2025 4 relations: 710269
  132. Sun Mar 30 14:31:17 2025 5 relations: 676900
  133. Sun Mar 30 14:31:17 2025 6 relations: 622378
  134. Sun Mar 30 14:31:17 2025 7 relations: 584956
  135. Sun Mar 30 14:31:17 2025 8 relations: 532722
  136. Sun Mar 30 14:31:17 2025 9 relations: 480684
  137. Sun Mar 30 14:31:17 2025 10+ relations: 3120896
  138. Sun Mar 30 14:31:17 2025 heaviest cycle: 28 relations
  139. Sun Mar 30 14:31:43 2025 RelProcTime: 2645
  140. Sun Mar 30 14:31:44 2025
  141. Sun Mar 30 14:31:44 2025 commencing linear algebra
  142. Sun Mar 30 14:31:44 2025 using VBITS=256
  143. Sun Mar 30 14:31:44 2025 stopping after matrix build
  144. Sun Mar 30 14:31:44 2025 initialized process (0,0) of 1 x 1 grid
  145. Sun Mar 30 14:31:45 2025 read 9116044 cycles
  146. Sun Mar 30 14:32:12 2025 cycles contain 34723687 unique relations
  147. Sun Mar 30 14:35:10 2025 read 34723687 relations
  148. Sun Mar 30 14:35:14 2025 using 20 quadratic characters above 4294917295
  149. Sun Mar 30 14:35:20 2025 building initial matrix
  150. Sun Mar 30 14:44:24 2025 memory use: 4527.8 MB
  151. Sun Mar 30 14:44:30 2025 read 9116044 cycles
  152. Sun Mar 30 14:44:31 2025 matrix is 9115865 x 9116044 (4024.4 MB) with weight 1222209657 (134.07/col)
  153. Sun Mar 30 14:44:31 2025 sparse part has weight 945570520 (103.73/col)
  154. Sun Mar 30 14:47:05 2025 filtering completed in 2 passes
  155. Sun Mar 30 14:47:08 2025 matrix is 9115211 x 9115390 (4024.3 MB) with weight 1222180885 (134.08/col)
  156. Sun Mar 30 14:47:08 2025 sparse part has weight 945563772 (103.73/col)
  157. Sun Mar 30 14:48:11 2025 BLanczosTime: 987
  158. Sun Mar 30 14:48:11 2025 elapsed time 01:00:34
  159. Mon Mar 31 03:24:19 2025
  160. Mon Mar 31 03:24:20 2025
  161. Mon Mar 31 03:24:20 2025 Msieve v. 1.54 (SVN Unversioned directory)
  162. Mon Mar 31 03:24:20 2025 random seeds: 526c3144 068c1d9b
  163. Mon Mar 31 03:24:20 2025 Using 96 OpenMP threads
  164. Mon Mar 31 03:24:20 2025 factoring 607447958473999952274519253176828861549627658352171709002903981132918018987068190293019263558577484962807966784116685677571654122211278958447284498251707077808331 (162 digits)
  165. Mon Mar 31 03:24:21 2025 searching for 15-digit factors
  166. Mon Mar 31 03:24:21 2025 commencing number field sieve (162-digit input)
  167. Mon Mar 31 03:24:21 2025 R0: -22540404912715328272126214345019
  168. Mon Mar 31 03:24:21 2025 R1: 30656723807098481
  169. Mon Mar 31 03:24:21 2025 A0: -617205213588525866469168675840396194800
  170. Mon Mar 31 03:24:21 2025 A1: 5490576836988934212599863562441970
  171. Mon Mar 31 03:24:21 2025 A2: 300806392419358839005961281
  172. Mon Mar 31 03:24:21 2025 A3: -84468813856423955016
  173. Mon Mar 31 03:24:21 2025 A4: 1982292170804
  174. Mon Mar 31 03:24:21 2025 A5: 104400
  175. Mon Mar 31 03:24:21 2025 skew 14112350.23, size 8.428e-16, alpha -7.531, combined = 1.025e-12 rroots = 3
  176. Mon Mar 31 03:24:21 2025
  177. Mon Mar 31 03:24:21 2025 commencing linear algebra
  178. Mon Mar 31 03:24:21 2025 using VBITS=256
  179. Mon Mar 31 03:24:21 2025 skipping matrix build
  180. Mon Mar 31 03:24:23 2025 matrix starts at (0, 0)
  181. Mon Mar 31 03:24:24 2025 matrix is 9115211 x 9115390 (4024.3 MB) with weight 1222180885 (134.08/col)
  182. Mon Mar 31 03:24:24 2025 sparse part has weight 945563772 (103.73/col)
  183. Mon Mar 31 03:24:24 2025 saving the first 240 matrix rows for later
  184. Mon Mar 31 03:24:25 2025 matrix includes 256 packed rows
  185. Mon Mar 31 03:24:28 2025 matrix is 9114971 x 9115390 (3639.0 MB) with weight 863806547 (94.76/col)
  186. Mon Mar 31 03:24:28 2025 sparse part has weight 808103926 (88.65/col)
  187. Mon Mar 31 03:24:28 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  188. Mon Mar 31 03:24:45 2025 commencing Lanczos iteration (96 threads)
  189. Mon Mar 31 03:24:45 2025 memory use: 5108.2 MB
  190. Mon Mar 31 03:25:47 2025 linear algebra at 0.3%, ETA 5h 1m
  191. Mon Mar 31 03:27:13 2025 checking every 30000 dimensions, checkpointing every 1890000 dimensions
  192. Mon Mar 31 08:08:40 2025 lanczos halted after 35713 iterations (dim = 9114970)
  193. Mon Mar 31 08:09:17 2025 recovered 29 nontrivial dependencies
  194. Mon Mar 31 08:09:18 2025 BLanczosTime: 17097
  195. Mon Mar 31 08:09:18 2025
  196. Mon Mar 31 08:09:18 2025 commencing square root phase
  197. Mon Mar 31 08:09:18 2025 handling dependencies 1 to 64
  198. Mon Mar 31 08:09:18 2025 reading relations for dependency 1
  199. Mon Mar 31 08:09:19 2025 read 4555343 cycles
  200. Mon Mar 31 08:09:26 2025 cycles contain 17360118 unique relations
  201. Mon Mar 31 08:11:28 2025 read 17360118 relations
  202. Mon Mar 31 08:12:19 2025 multiplying 17360118 relations
  203. Mon Mar 31 08:19:46 2025 multiply complete, coefficients have about 928.36 million bits
  204. Mon Mar 31 08:19:49 2025 initial square root is modulo 213196267
  205. Mon Mar 31 08:24:39 2025 GCD is 1, no factor found
  206. Mon Mar 31 08:24:39 2025 reading relations for dependency 2
  207. Mon Mar 31 08:24:40 2025 read 4557321 cycles
  208. Mon Mar 31 08:24:47 2025 cycles contain 17365882 unique relations
  209. Mon Mar 31 08:26:50 2025 read 17365882 relations
  210. Mon Mar 31 08:27:42 2025 multiplying 17365882 relations
  211. Mon Mar 31 08:35:12 2025 multiply complete, coefficients have about 928.66 million bits
  212. Mon Mar 31 08:35:14 2025 initial square root is modulo 214541777
  213. Mon Mar 31 08:40:12 2025 GCD is N, no factor found
  214. Mon Mar 31 08:40:12 2025 reading relations for dependency 3
  215. Mon Mar 31 08:40:13 2025 read 4557064 cycles
  216. Mon Mar 31 08:40:19 2025 cycles contain 17359246 unique relations
  217. Mon Mar 31 08:42:24 2025 read 17359246 relations
  218. Mon Mar 31 08:43:17 2025 multiplying 17359246 relations
  219. Mon Mar 31 08:50:47 2025 multiply complete, coefficients have about 928.31 million bits
  220. Mon Mar 31 08:50:49 2025 initial square root is modulo 212963669
  221. Mon Mar 31 08:55:49 2025 GCD is N, no factor found
  222. Mon Mar 31 08:55:49 2025 reading relations for dependency 4
  223. Mon Mar 31 08:55:50 2025 read 4560025 cycles
  224. Mon Mar 31 08:55:56 2025 cycles contain 17367790 unique relations
  225. Mon Mar 31 08:58:01 2025 read 17367790 relations
  226. Mon Mar 31 08:58:58 2025 multiplying 17367790 relations
  227. Mon Mar 31 09:06:26 2025 multiply complete, coefficients have about 928.77 million bits
  228. Mon Mar 31 09:06:28 2025 initial square root is modulo 214995959
  229. Mon Mar 31 09:11:37 2025 GCD is 1, no factor found
  230. Mon Mar 31 09:11:37 2025 reading relations for dependency 5
  231. Mon Mar 31 09:11:38 2025 read 4557971 cycles
  232. Mon Mar 31 09:11:45 2025 cycles contain 17362146 unique relations
  233. Mon Mar 31 09:13:50 2025 read 17362146 relations
  234. Mon Mar 31 09:14:41 2025 multiplying 17362146 relations
  235. Mon Mar 31 09:22:07 2025 multiply complete, coefficients have about 928.47 million bits
  236. Mon Mar 31 09:22:10 2025 initial square root is modulo 213676201
  237. Mon Mar 31 09:27:01 2025 GCD is 1, no factor found
  238. Mon Mar 31 09:27:01 2025 reading relations for dependency 6
  239. Mon Mar 31 09:27:02 2025 read 4557255 cycles
  240. Mon Mar 31 09:27:09 2025 cycles contain 17362180 unique relations
  241. Mon Mar 31 09:29:12 2025 read 17362180 relations
  242. Mon Mar 31 09:30:04 2025 multiplying 17362180 relations
  243. Mon Mar 31 09:37:29 2025 multiply complete, coefficients have about 928.47 million bits
  244. Mon Mar 31 09:37:31 2025 initial square root is modulo 213678859
  245. Mon Mar 31 09:42:26 2025 GCD is 1, no factor found
  246. Mon Mar 31 09:42:26 2025 reading relations for dependency 7
  247. Mon Mar 31 09:42:27 2025 read 4557292 cycles
  248. Mon Mar 31 09:42:34 2025 cycles contain 17359520 unique relations
  249. Mon Mar 31 09:44:38 2025 read 17359520 relations
  250. Mon Mar 31 09:45:31 2025 multiplying 17359520 relations
  251. Mon Mar 31 09:52:56 2025 multiply complete, coefficients have about 928.32 million bits
  252. Mon Mar 31 09:52:58 2025 initial square root is modulo 213035051
  253. Mon Mar 31 09:57:47 2025 GCD is N, no factor found
  254. Mon Mar 31 09:57:47 2025 reading relations for dependency 8
  255. Mon Mar 31 09:57:48 2025 read 4557347 cycles
  256. Mon Mar 31 09:57:55 2025 cycles contain 17357150 unique relations
  257. Mon Mar 31 09:59:59 2025 read 17357150 relations
  258. Mon Mar 31 10:00:50 2025 multiplying 17357150 relations
  259. Mon Mar 31 10:08:18 2025 multiply complete, coefficients have about 928.20 million bits
  260. Mon Mar 31 10:08:21 2025 initial square root is modulo 212484221
  261. Mon Mar 31 10:13:11 2025 GCD is N, no factor found
  262. Mon Mar 31 10:13:11 2025 reading relations for dependency 9
  263. Mon Mar 31 10:13:12 2025 read 4557061 cycles
  264. Mon Mar 31 10:13:19 2025 cycles contain 17361602 unique relations
  265. Mon Mar 31 10:15:24 2025 read 17361602 relations
  266. Mon Mar 31 10:16:14 2025 multiplying 17361602 relations
  267. Mon Mar 31 10:23:39 2025 multiply complete, coefficients have about 928.44 million bits
  268. Mon Mar 31 10:23:42 2025 initial square root is modulo 213547949
  269. Mon Mar 31 10:28:32 2025 GCD is 1, no factor found
  270. Mon Mar 31 10:28:32 2025 reading relations for dependency 10
  271. Mon Mar 31 10:28:33 2025 read 4558549 cycles
  272. Mon Mar 31 10:28:40 2025 cycles contain 17363960 unique relations
  273. Mon Mar 31 10:30:43 2025 read 17363960 relations
  274. Mon Mar 31 10:31:34 2025 multiplying 17363960 relations
  275. Mon Mar 31 10:39:00 2025 multiply complete, coefficients have about 928.56 million bits
  276. Mon Mar 31 10:39:02 2025 initial square root is modulo 214075231
  277. Mon Mar 31 10:43:53 2025 sqrtTime: 9275
  278. Mon Mar 31 10:43:53 2025 p77 factor: 21817023231359745596861299753584292975992938620156786390187827613733772894531
  279. Mon Mar 31 10:43:53 2025 p86 factor: 27842843271159718553980774122864517860179581948191474587324468495200996392126277219801
  280. Mon Mar 31 10:43:53 2025 elapsed time 07:19:33
  281.  
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