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C196_M13_k87

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Sep 28th, 2019
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  1. Fri Sep 13 19:58:46 2019
  2. Fri Sep 13 19:58:46 2019
  3. Fri Sep 13 19:58:46 2019 Msieve v. 1.52 (SVN unknown)
  4. Fri Sep 13 19:58:46 2019 random seeds: 07328300 8cff655b
  5. Fri Sep 13 19:58:46 2019 factoring 5404127756813695462642256597749697929334442255497302727496868687093302756941804490758683986883254083211959163818057128076979123969074806301300657939864870592563907168660153068249066587541037488821 (196 digits)
  6. Fri Sep 13 19:58:47 2019 no P-1/P+1/ECM available, skipping
  7. Fri Sep 13 19:58:47 2019 commencing number field sieve (196-digit input)
  8. Fri Sep 13 19:58:47 2019 R0: -1359468845100412723218362927388368486401
  9. Fri Sep 13 19:58:47 2019 R1: 1
  10. Fri Sep 13 19:58:47 2019 A0: 67092481
  11. Fri Sep 13 19:58:47 2019 A1: 0
  12. Fri Sep 13 19:58:47 2019 A2: 0
  13. Fri Sep 13 19:58:47 2019 A3: 8191
  14. Fri Sep 13 19:58:47 2019 A4: 0
  15. Fri Sep 13 19:58:47 2019 A5: 0
  16. Fri Sep 13 19:58:47 2019 A6: 1
  17. Fri Sep 13 19:58:47 2019 skew 26.62, size 1.613e-012, alpha 2.283, combined = 1.794e-013 rroots = 0
  18. Fri Sep 13 19:58:47 2019
  19. Fri Sep 13 19:58:47 2019 commencing relation filtering
  20. Fri Sep 13 19:58:47 2019 setting target matrix density to 120.0
  21. Fri Sep 13 19:58:47 2019 estimated available RAM is 16316.6 MB
  22. Fri Sep 13 19:58:47 2019 commencing duplicate removal, pass 1
  23. Fri Sep 13 19:59:49 2019 error -9 reading relation 6792422
  24. Fri Sep 13 19:59:54 2019 error -1 reading relation 7382109
  25. Fri Sep 13 20:00:46 2019 error -15 reading relation 13574984
  26. Fri Sep 13 20:01:30 2019 error -9 reading relation 18808723
  27. Fri Sep 13 20:01:45 2019 error -15 reading relation 20601711
  28. Fri Sep 13 20:02:06 2019 error -15 reading relation 23083146
  29. Fri Sep 13 20:02:06 2019 error -15 reading relation 23093045
  30. Fri Sep 13 20:02:06 2019 error -9 reading relation 23096003
  31. Fri Sep 13 20:02:06 2019 error -9 reading relation 23099012
  32. Fri Sep 13 20:02:10 2019 error -1 reading relation 23644747
  33. Fri Sep 13 20:37:32 2019 error -1 reading relation 273724305
  34. Fri Sep 13 20:37:32 2019 error -5 reading relation 273761421
  35. Fri Sep 13 20:37:32 2019 error -15 reading relation 273773116
  36. Fri Sep 13 20:37:33 2019 error -9 reading relation 273814887
  37. Fri Sep 13 20:37:33 2019 error -9 reading relation 273856221
  38. Fri Sep 13 20:37:33 2019 error -9 reading relation 273859432
  39. Fri Sep 13 20:37:34 2019 error -15 reading relation 273957867
  40. Fri Sep 13 20:37:34 2019 error -1 reading relation 273966584
  41. Fri Sep 13 20:37:34 2019 error -15 reading relation 273967953
  42. Fri Sep 13 20:37:34 2019 error -9 reading relation 273987551
  43. Fri Sep 13 20:37:35 2019 error -9 reading relation 274043008
  44. Fri Sep 13 20:37:35 2019 error -1 reading relation 274046758
  45. Fri Sep 13 20:37:35 2019 error -15 reading relation 274055972
  46. Fri Sep 13 20:37:35 2019 error -9 reading relation 274065134
  47. Fri Sep 13 20:37:35 2019 found 66166135 hash collisions in 274070637 relations
  48. Fri Sep 13 20:37:56 2019 added 813982 free relations
  49. Fri Sep 13 20:37:56 2019 commencing duplicate removal, pass 2
  50. Fri Sep 13 20:45:57 2019 found 71263186 duplicates and 203621433 unique relations
  51. Fri Sep 13 20:45:57 2019 memory use: 1449.5 MB
  52. Fri Sep 13 20:45:57 2019 reading ideals above 264568832
  53. Fri Sep 13 20:45:57 2019 commencing singleton removal, initial pass
  54. Fri Sep 13 21:18:21 2019 memory use: 3012.0 MB
  55. Fri Sep 13 21:18:22 2019 reading all ideals from disk
  56. Fri Sep 13 21:18:56 2019 memory use: 3235.4 MB
  57. Fri Sep 13 21:19:01 2019 commencing in-memory singleton removal
  58. Fri Sep 13 21:19:07 2019 begin with 203621433 relations and 152353001 unique ideals
  59. Fri Sep 13 21:20:13 2019 reduce to 142673484 relations and 86029067 ideals in 13 passes
  60. Fri Sep 13 21:20:13 2019 max relations containing the same ideal: 29
  61. Fri Sep 13 21:20:22 2019 reading ideals above 720000
  62. Fri Sep 13 21:20:22 2019 commencing singleton removal, initial pass
  63. Fri Sep 13 21:49:46 2019 memory use: 3012.0 MB
  64. Fri Sep 13 21:49:46 2019 reading all ideals from disk
  65. Fri Sep 13 21:51:07 2019 memory use: 5737.3 MB
  66. Fri Sep 13 21:51:22 2019 keeping 114174373 ideals with weight <= 200, target excess is 728998
  67. Fri Sep 13 21:51:38 2019 commencing in-memory singleton removal
  68. Fri Sep 13 21:51:50 2019 begin with 142673484 relations and 114174373 unique ideals
  69. Fri Sep 13 21:53:32 2019 reduce to 142658695 relations and 114159582 ideals in 8 passes
  70. Fri Sep 13 21:53:32 2019 max relations containing the same ideal: 200
  71. Fri Sep 13 21:54:32 2019 removing 10221452 relations and 8221452 ideals in 2000000 cliques
  72. Fri Sep 13 21:54:35 2019 commencing in-memory singleton removal
  73. Fri Sep 13 21:54:46 2019 begin with 132437243 relations and 114159582 unique ideals
  74. Fri Sep 13 21:56:19 2019 reduce to 131924499 relations and 105416485 ideals in 8 passes
  75. Fri Sep 13 21:56:19 2019 max relations containing the same ideal: 198
  76. Fri Sep 13 21:57:16 2019 removing 7815226 relations and 5815226 ideals in 2000000 cliques
  77. Fri Sep 13 21:57:19 2019 commencing in-memory singleton removal
  78. Fri Sep 13 21:57:29 2019 begin with 124109273 relations and 105416485 unique ideals
  79. Fri Sep 13 21:58:45 2019 reduce to 123767129 relations and 99253892 ideals in 7 passes
  80. Fri Sep 13 21:58:45 2019 max relations containing the same ideal: 191
  81. Fri Sep 13 21:59:38 2019 removing 7088716 relations and 5088716 ideals in 2000000 cliques
  82. Fri Sep 13 21:59:41 2019 commencing in-memory singleton removal
  83. Fri Sep 13 21:59:50 2019 begin with 116678413 relations and 99253892 unique ideals
  84. Fri Sep 13 22:01:01 2019 reduce to 116379892 relations and 93862056 ideals in 7 passes
  85. Fri Sep 13 22:01:01 2019 max relations containing the same ideal: 183
  86. Fri Sep 13 22:01:51 2019 removing 6710639 relations and 4710639 ideals in 2000000 cliques
  87. Fri Sep 13 22:01:54 2019 commencing in-memory singleton removal
  88. Fri Sep 13 22:02:02 2019 begin with 109669253 relations and 93862056 unique ideals
  89. Fri Sep 13 22:03:09 2019 reduce to 109394709 relations and 88872629 ideals in 7 passes
  90. Fri Sep 13 22:03:09 2019 max relations containing the same ideal: 177
  91. Fri Sep 13 22:03:57 2019 removing 6460705 relations and 4460705 ideals in 2000000 cliques
  92. Fri Sep 13 22:03:59 2019 commencing in-memory singleton removal
  93. Fri Sep 13 22:04:07 2019 begin with 102934004 relations and 88872629 unique ideals
  94. Fri Sep 13 22:05:00 2019 reduce to 102670667 relations and 84144307 ideals in 6 passes
  95. Fri Sep 13 22:05:00 2019 max relations containing the same ideal: 169
  96. Fri Sep 13 22:05:45 2019 removing 6287828 relations and 4287828 ideals in 2000000 cliques
  97. Fri Sep 13 22:05:47 2019 commencing in-memory singleton removal
  98. Fri Sep 13 22:05:55 2019 begin with 96382839 relations and 84144307 unique ideals
  99. Fri Sep 13 22:06:45 2019 reduce to 96125606 relations and 79594830 ideals in 6 passes
  100. Fri Sep 13 22:06:45 2019 max relations containing the same ideal: 167
  101. Fri Sep 13 22:07:26 2019 removing 6154099 relations and 4154099 ideals in 2000000 cliques
  102. Fri Sep 13 22:07:28 2019 commencing in-memory singleton removal
  103. Fri Sep 13 22:07:35 2019 begin with 89971507 relations and 79594830 unique ideals
  104. Fri Sep 13 22:08:29 2019 reduce to 89713010 relations and 75177529 ideals in 7 passes
  105. Fri Sep 13 22:08:29 2019 max relations containing the same ideal: 157
  106. Fri Sep 13 22:09:08 2019 removing 6055721 relations and 4055721 ideals in 2000000 cliques
  107. Fri Sep 13 22:09:10 2019 commencing in-memory singleton removal
  108. Fri Sep 13 22:09:16 2019 begin with 83657289 relations and 75177529 unique ideals
  109. Fri Sep 13 22:10:06 2019 reduce to 83392932 relations and 70852361 ideals in 7 passes
  110. Fri Sep 13 22:10:06 2019 max relations containing the same ideal: 150
  111. Fri Sep 13 22:10:43 2019 removing 5984230 relations and 3984230 ideals in 2000000 cliques
  112. Fri Sep 13 22:10:45 2019 commencing in-memory singleton removal
  113. Fri Sep 13 22:10:51 2019 begin with 77408702 relations and 70852361 unique ideals
  114. Fri Sep 13 22:11:30 2019 reduce to 77134233 relations and 66588044 ideals in 6 passes
  115. Fri Sep 13 22:11:30 2019 max relations containing the same ideal: 144
  116. Fri Sep 13 22:12:04 2019 removing 5930170 relations and 3930170 ideals in 2000000 cliques
  117. Fri Sep 13 22:12:06 2019 commencing in-memory singleton removal
  118. Fri Sep 13 22:12:12 2019 begin with 71204063 relations and 66588044 unique ideals
  119. Fri Sep 13 22:12:47 2019 reduce to 70912363 relations and 62359735 ideals in 6 passes
  120. Fri Sep 13 22:12:47 2019 max relations containing the same ideal: 133
  121. Fri Sep 13 22:13:19 2019 removing 5903479 relations and 3903479 ideals in 2000000 cliques
  122. Fri Sep 13 22:13:21 2019 commencing in-memory singleton removal
  123. Fri Sep 13 22:13:26 2019 begin with 65008884 relations and 62359735 unique ideals
  124. Fri Sep 13 22:14:04 2019 reduce to 64691113 relations and 58130795 ideals in 7 passes
  125. Fri Sep 13 22:14:04 2019 max relations containing the same ideal: 126
  126. Fri Sep 13 22:14:32 2019 removing 5905178 relations and 3905178 ideals in 2000000 cliques
  127. Fri Sep 13 22:14:34 2019 commencing in-memory singleton removal
  128. Fri Sep 13 22:14:39 2019 begin with 58785935 relations and 58130795 unique ideals
  129. Fri Sep 13 22:15:13 2019 reduce to 58428476 relations and 53858725 ideals in 7 passes
  130. Fri Sep 13 22:15:13 2019 max relations containing the same ideal: 120
  131. Fri Sep 13 22:15:39 2019 removing 5945162 relations and 3945162 ideals in 2000000 cliques
  132. Fri Sep 13 22:15:40 2019 commencing in-memory singleton removal
  133. Fri Sep 13 22:15:45 2019 begin with 52483314 relations and 53858725 unique ideals
  134. Fri Sep 13 22:16:15 2019 reduce to 52063058 relations and 49481170 ideals in 7 passes
  135. Fri Sep 13 22:16:15 2019 max relations containing the same ideal: 109
  136. Fri Sep 13 22:16:38 2019 removing 5358381 relations and 3622131 ideals in 1736250 cliques
  137. Fri Sep 13 22:16:40 2019 commencing in-memory singleton removal
  138. Fri Sep 13 22:16:43 2019 begin with 46704677 relations and 49481170 unique ideals
  139. Fri Sep 13 22:17:10 2019 reduce to 46294570 relations and 45437072 ideals in 7 passes
  140. Fri Sep 13 22:17:10 2019 max relations containing the same ideal: 103
  141. Fri Sep 13 22:17:31 2019 removing 76952 relations and 65092 ideals in 11860 cliques
  142. Fri Sep 13 22:17:31 2019 commencing in-memory singleton removal
  143. Fri Sep 13 22:17:35 2019 begin with 46217618 relations and 45437072 unique ideals
  144. Fri Sep 13 22:17:50 2019 reduce to 46217539 relations and 45371901 ideals in 4 passes
  145. Fri Sep 13 22:17:50 2019 max relations containing the same ideal: 103
  146. Fri Sep 13 22:17:59 2019 relations with 0 large ideals: 17789
  147. Fri Sep 13 22:17:59 2019 relations with 1 large ideals: 10694
  148. Fri Sep 13 22:17:59 2019 relations with 2 large ideals: 134940
  149. Fri Sep 13 22:17:59 2019 relations with 3 large ideals: 937340
  150. Fri Sep 13 22:17:59 2019 relations with 4 large ideals: 3576510
  151. Fri Sep 13 22:17:59 2019 relations with 5 large ideals: 8227823
  152. Fri Sep 13 22:17:59 2019 relations with 6 large ideals: 11978514
  153. Fri Sep 13 22:17:59 2019 relations with 7+ large ideals: 21333929
  154. Fri Sep 13 22:17:59 2019 commencing 2-way merge
  155. Fri Sep 13 22:18:28 2019 reduce to 32476460 relation sets and 31630822 unique ideals
  156. Fri Sep 13 22:18:28 2019 commencing full merge
  157. Fri Sep 13 22:31:55 2019 memory use: 3898.8 MB
  158. Fri Sep 13 22:31:59 2019 found 14327391 cycles, need 14289022
  159. Fri Sep 13 22:32:00 2019 weight of 14289022 cycles is about 1715218165 (120.04/cycle)
  160. Fri Sep 13 22:32:00 2019 distribution of cycle lengths:
  161. Fri Sep 13 22:32:00 2019 1 relations: 501953
  162. Fri Sep 13 22:32:00 2019 2 relations: 796560
  163. Fri Sep 13 22:32:00 2019 3 relations: 990003
  164. Fri Sep 13 22:32:00 2019 4 relations: 1064651
  165. Fri Sep 13 22:32:00 2019 5 relations: 1125762
  166. Fri Sep 13 22:32:00 2019 6 relations: 1122640
  167. Fri Sep 13 22:32:00 2019 7 relations: 1109550
  168. Fri Sep 13 22:32:00 2019 8 relations: 1053010
  169. Fri Sep 13 22:32:00 2019 9 relations: 982762
  170. Fri Sep 13 22:32:00 2019 10+ relations: 5542131
  171. Fri Sep 13 22:32:00 2019 heaviest cycle: 28 relations
  172. Fri Sep 13 22:32:03 2019 commencing cycle optimization
  173. Fri Sep 13 22:32:29 2019 start with 125061140 relations
  174. Fri Sep 13 22:38:41 2019 pruned 6545438 relations
  175. Fri Sep 13 22:38:41 2019 memory use: 3215.1 MB
  176. Fri Sep 13 22:38:41 2019 distribution of cycle lengths:
  177. Fri Sep 13 22:38:41 2019 1 relations: 501953
  178. Fri Sep 13 22:38:41 2019 2 relations: 819902
  179. Fri Sep 13 22:38:41 2019 3 relations: 1038405
  180. Fri Sep 13 22:38:41 2019 4 relations: 1119386
  181. Fri Sep 13 22:38:41 2019 5 relations: 1193026
  182. Fri Sep 13 22:38:41 2019 6 relations: 1189375
  183. Fri Sep 13 22:38:41 2019 7 relations: 1179112
  184. Fri Sep 13 22:38:41 2019 8 relations: 1111863
  185. Fri Sep 13 22:38:41 2019 9 relations: 1033290
  186. Fri Sep 13 22:38:41 2019 10+ relations: 5102710
  187. Fri Sep 13 22:38:41 2019 heaviest cycle: 28 relations
  188. Fri Sep 13 22:39:25 2019 RelProcTime: 9638
  189. Fri Sep 13 22:39:25 2019
  190. Fri Sep 13 22:39:25 2019 commencing linear algebra
  191. Fri Sep 13 22:39:27 2019 read 14289022 cycles
  192. Fri Sep 13 22:39:57 2019 cycles contain 45817883 unique relations
  193. Fri Sep 13 22:48:19 2019 read 45817883 relations
  194. Fri Sep 13 22:49:47 2019 using 20 quadratic characters above 2147482820
  195. Fri Sep 13 22:53:00 2019 building initial matrix
  196. Fri Sep 13 23:02:37 2019 memory use: 5992.8 MB
  197. Fri Sep 13 23:02:56 2019 read 14289022 cycles
  198. Fri Sep 13 23:03:00 2019 matrix is 14288844 x 14289022 (6664.3 MB) with weight 1898282416 (132.85/col)
  199. Fri Sep 13 23:03:00 2019 sparse part has weight 1589825456 (111.26/col)
  200. Fri Sep 13 23:06:08 2019 filtering completed in 2 passes
  201. Fri Sep 13 23:06:13 2019 matrix is 14288695 x 14288873 (6664.3 MB) with weight 1898277689 (132.85/col)
  202. Fri Sep 13 23:06:13 2019 sparse part has weight 1589823958 (111.26/col)
  203. Fri Sep 13 23:08:35 2019 matrix starts at (0, 0)
  204. Fri Sep 13 23:08:39 2019 matrix is 14288695 x 14288873 (6664.3 MB) with weight 1898277689 (132.85/col)
  205. Fri Sep 13 23:08:39 2019 sparse part has weight 1589823958 (111.26/col)
  206. Fri Sep 13 23:08:39 2019 saving the first 48 matrix rows for later
  207. Fri Sep 13 23:08:44 2019 matrix includes 64 packed rows
  208. Fri Sep 13 23:08:46 2019 matrix is 14288647 x 14288873 (6357.7 MB) with weight 1632031461 (114.22/col)
  209. Fri Sep 13 23:08:46 2019 sparse part has weight 1523734361 (106.64/col)
  210. Fri Sep 13 23:08:46 2019 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  211. Fri Sep 13 23:10:11 2019 commencing Lanczos iteration (8 threads)
  212. Fri Sep 13 23:10:11 2019 memory use: 5439.6 MB
  213. Fri Sep 13 23:12:15 2019 linear algebra at 0.0%, ETA 311h31m
  214. Fri Sep 13 23:12:54 2019 checkpointing every 50000 dimensions
  215. Thu Sep 26 12:20:39 2019 lanczos halted after 221622 iterations (dim = 14014270)
  216. Thu Sep 26 12:20:57 2019 BLanczosTime: 1086092
  217. Thu Sep 26 12:20:57 2019
  218. Thu Sep 26 12:20:57 2019 commencing square root phase
  219. Thu Sep 26 12:20:57 2019 handling dependencies 1 to 64
  220. Thu Sep 26 12:20:57 2019 reading relations for dependency 1
  221. Thu Sep 26 12:20:57 2019 error: read_cycles can't open dependency file
  222. Thu Sep 26 12:38:35 2019
  223. Thu Sep 26 12:38:35 2019
  224. Thu Sep 26 12:38:35 2019 Msieve v. 1.52 (SVN unknown)
  225. Thu Sep 26 12:38:35 2019 random seeds: a7c23f6c 7530dbb9
  226. Thu Sep 26 12:38:35 2019 factoring 5404127756813695462642256597749697929334442255497302727496868687093302756941804490758683986883254083211959163818057128076979123969074806301300657939864870592563907168660153068249066587541037488821 (196 digits)
  227. Thu Sep 26 12:38:38 2019 no P-1/P+1/ECM available, skipping
  228. Thu Sep 26 12:38:38 2019 commencing number field sieve (196-digit input)
  229. Thu Sep 26 12:38:38 2019 R0: -1359468845100412723218362927388368486401
  230. Thu Sep 26 12:38:38 2019 R1: 1
  231. Thu Sep 26 12:38:38 2019 A0: 67092481
  232. Thu Sep 26 12:38:38 2019 A1: 0
  233. Thu Sep 26 12:38:38 2019 A2: 0
  234. Thu Sep 26 12:38:38 2019 A3: 8191
  235. Thu Sep 26 12:38:38 2019 A4: 0
  236. Thu Sep 26 12:38:38 2019 A5: 0
  237. Thu Sep 26 12:38:38 2019 A6: 1
  238. Thu Sep 26 12:38:38 2019 skew 26.62, size 1.613e-012, alpha 2.283, combined = 1.794e-013 rroots = 0
  239. Thu Sep 26 12:38:38 2019
  240. Thu Sep 26 12:38:38 2019 commencing linear algebra
  241. Thu Sep 26 12:45:30 2019 matrix starts at (0, 0)
  242. Thu Sep 26 12:45:41 2019 matrix is 14288695 x 14288873 (6664.3 MB) with weight 1898277689 (132.85/col)
  243. Thu Sep 26 12:45:41 2019 sparse part has weight 1589823958 (111.26/col)
  244. Thu Sep 26 12:45:41 2019 saving the first 48 matrix rows for later
  245. Thu Sep 26 12:45:58 2019 matrix includes 64 packed rows
  246. Thu Sep 26 12:46:05 2019 matrix is 14288647 x 14288873 (6357.7 MB) with weight 1632031461 (114.22/col)
  247. Thu Sep 26 12:46:05 2019 sparse part has weight 1523734361 (106.64/col)
  248. Thu Sep 26 12:46:05 2019 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  249. Thu Sep 26 12:49:27 2019 commencing Lanczos iteration (4 threads)
  250. Thu Sep 26 12:49:27 2019 memory use: 5439.5 MB
  251. Thu Sep 26 12:49:37 2019 restarting at iteration 221622 (dim = 14014270)
  252. Thu Sep 26 12:52:51 2019 linear algebra at 98.1%, ETA 9h42m
  253. Thu Sep 26 12:53:26 2019 checkpointing every 30000 dimensions
  254. Thu Sep 26 23:32:11 2019 lanczos halted after 225961 iterations (dim = 14288644)
  255. Thu Sep 26 23:33:06 2019 recovered 37 nontrivial dependencies
  256. Thu Sep 26 23:33:34 2019 BLanczosTime: 39296
  257. Thu Sep 26 23:33:34 2019
  258. Thu Sep 26 23:33:34 2019 commencing square root phase
  259. Thu Sep 26 23:33:34 2019 reading relations for dependency 1
  260. Thu Sep 26 23:33:53 2019 read 7145170 cycles
  261. Thu Sep 26 23:34:34 2019 cycles contain 22910692 unique relations
  262. Thu Sep 26 23:47:14 2019 read 22910692 relations
  263. Thu Sep 26 23:53:27 2019 multiplying 22910692 relations
  264. Fri Sep 27 00:42:23 2019 multiply complete, coefficients have about 628.52 million bits
  265. Fri Sep 27 00:42:31 2019 initial square root is modulo 435317
  266. Fri Sep 27 01:39:13 2019 sqrtTime: 7539
  267. Fri Sep 27 01:39:13 2019 prp68 factor: 11513269758665453705343220647242827266434990425651326584727782593027
  268. Fri Sep 27 01:39:13 2019 prp129 factor: 469382535986033231520410379129041864026375630156893072992676756140591507474228899960623878337713973577529732705740873820982779623
  269. Fri Sep 27 01:39:13 2019 elapsed time 13:00:38
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