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Feb 16th, 2022
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  1. Wed Feb 16 06:48:29 2022
  2. Wed Feb 16 06:48:29 2022
  3. Wed Feb 16 06:48:29 2022 Msieve v. 1.54 (SVN 1043M)
  4. Wed Feb 16 06:48:29 2022 random seeds: 8a723efd d0ddab95
  5. Wed Feb 16 06:48:29 2022 factoring 2255036167482618021343243541444285990244060182293652222681960718101154773309004040669072256017521681225571006279544206113641948377553377901423422051221226699912850292997 (169 digits)
  6. Wed Feb 16 06:48:29 2022 searching for 15-digit factors
  7. Wed Feb 16 06:48:29 2022 commencing number field sieve (169-digit input)
  8. Wed Feb 16 06:48:29 2022 R0: -363648016678590540861963623819446
  9. Wed Feb 16 06:48:29 2022 R1: 22755250068196960577393
  10. Wed Feb 16 06:48:29 2022 A0: 627937381676244982467376723546395643453
  11. Wed Feb 16 06:48:29 2022 A1: 1835169530309631827497468546335908
  12. Wed Feb 16 06:48:29 2022 A2: -306417638098503281182282467
  13. Wed Feb 16 06:48:29 2022 A3: -121510053526373613532
  14. Wed Feb 16 06:48:29 2022 A4: 10161367326430
  15. Wed Feb 16 06:48:29 2022 A5: 1772400
  16. Wed Feb 16 06:48:29 2022 skew 4235434.59, size 2.106e-16, alpha -6.401, combined = 4.545e-13 rroots = 5
  17. Wed Feb 16 06:48:29 2022
  18. Wed Feb 16 06:48:29 2022 commencing relation filtering
  19. Wed Feb 16 06:48:29 2022 setting target matrix density to 136.0
  20. Wed Feb 16 06:48:29 2022 estimated available RAM is 63624.2 MB
  21. Wed Feb 16 06:48:29 2022 commencing duplicate removal, pass 1
  22. Wed Feb 16 07:17:22 2022 found 8715078 hash collisions in 199522895 relations
  23. Wed Feb 16 07:17:55 2022 added 121911 free relations
  24. Wed Feb 16 07:17:55 2022 commencing duplicate removal, pass 2
  25. Wed Feb 16 07:19:00 2022 found 4 duplicates and 199644802 unique relations
  26. Wed Feb 16 07:19:00 2022 memory use: 522.4 MB
  27. Wed Feb 16 07:19:00 2022 reading ideals above 720000
  28. Wed Feb 16 07:19:00 2022 commencing singleton removal, initial pass
  29. Wed Feb 16 07:47:13 2022 memory use: 5512.0 MB
  30. Wed Feb 16 07:47:14 2022 reading all ideals from disk
  31. Wed Feb 16 07:52:40 2022 memory use: 7783.9 MB
  32. Wed Feb 16 07:53:08 2022 keeping 176214793 ideals with weight <= 200, target excess is 977858
  33. Wed Feb 16 07:53:36 2022 commencing in-memory singleton removal
  34. Wed Feb 16 07:53:56 2022 begin with 199644802 relations and 176214793 unique ideals
  35. Wed Feb 16 07:57:28 2022 reduce to 136409659 relations and 107063126 ideals in 13 passes
  36. Wed Feb 16 07:57:28 2022 max relations containing the same ideal: 165
  37. Wed Feb 16 07:58:43 2022 removing 10227517 relations and 8227517 ideals in 2000000 cliques
  38. Wed Feb 16 07:58:49 2022 commencing in-memory singleton removal
  39. Wed Feb 16 07:59:02 2022 begin with 126182142 relations and 107063126 unique ideals
  40. Wed Feb 16 08:00:59 2022 reduce to 125581536 relations and 98223844 ideals in 8 passes
  41. Wed Feb 16 08:00:59 2022 max relations containing the same ideal: 157
  42. Wed Feb 16 08:02:10 2022 removing 7850886 relations and 5850886 ideals in 2000000 cliques
  43. Wed Feb 16 08:02:16 2022 commencing in-memory singleton removal
  44. Wed Feb 16 08:02:28 2022 begin with 117730650 relations and 98223844 unique ideals
  45. Wed Feb 16 08:04:23 2022 reduce to 117327245 relations and 91962972 ideals in 8 passes
  46. Wed Feb 16 08:04:23 2022 max relations containing the same ideal: 152
  47. Wed Feb 16 08:05:26 2022 removing 7155641 relations and 5155641 ideals in 2000000 cliques
  48. Wed Feb 16 08:05:31 2022 commencing in-memory singleton removal
  49. Wed Feb 16 08:05:42 2022 begin with 110171604 relations and 91962972 unique ideals
  50. Wed Feb 16 08:07:20 2022 reduce to 109815471 relations and 86445251 ideals in 8 passes
  51. Wed Feb 16 08:07:20 2022 max relations containing the same ideal: 147
  52. Wed Feb 16 08:08:18 2022 removing 6808388 relations and 4808388 ideals in 2000000 cliques
  53. Wed Feb 16 08:08:23 2022 commencing in-memory singleton removal
  54. Wed Feb 16 08:08:33 2022 begin with 103007083 relations and 86445251 unique ideals
  55. Wed Feb 16 08:09:55 2022 reduce to 102669929 relations and 81293946 ideals in 7 passes
  56. Wed Feb 16 08:09:55 2022 max relations containing the same ideal: 137
  57. Wed Feb 16 08:10:48 2022 removing 6594439 relations and 4594439 ideals in 2000000 cliques
  58. Wed Feb 16 08:10:53 2022 commencing in-memory singleton removal
  59. Wed Feb 16 08:11:02 2022 begin with 96075490 relations and 81293946 unique ideals
  60. Wed Feb 16 08:12:07 2022 reduce to 95743362 relations and 76361424 ideals in 6 passes
  61. Wed Feb 16 08:12:07 2022 max relations containing the same ideal: 133
  62. Wed Feb 16 08:12:57 2022 removing 6459381 relations and 4459381 ideals in 2000000 cliques
  63. Wed Feb 16 08:13:02 2022 commencing in-memory singleton removal
  64. Wed Feb 16 08:13:11 2022 begin with 89283981 relations and 76361424 unique ideals
  65. Wed Feb 16 08:14:20 2022 reduce to 88951864 relations and 71563687 ideals in 7 passes
  66. Wed Feb 16 08:14:20 2022 max relations containing the same ideal: 127
  67. Wed Feb 16 08:15:12 2022 removing 6370057 relations and 4370057 ideals in 2000000 cliques
  68. Wed Feb 16 08:15:17 2022 commencing in-memory singleton removal
  69. Wed Feb 16 08:15:25 2022 begin with 82581807 relations and 71563687 unique ideals
  70. Wed Feb 16 08:16:28 2022 reduce to 82239730 relations and 66844838 ideals in 7 passes
  71. Wed Feb 16 08:16:28 2022 max relations containing the same ideal: 121
  72. Wed Feb 16 08:17:15 2022 removing 6317474 relations and 4317474 ideals in 2000000 cliques
  73. Wed Feb 16 08:17:20 2022 commencing in-memory singleton removal
  74. Wed Feb 16 08:17:27 2022 begin with 75922256 relations and 66844838 unique ideals
  75. Wed Feb 16 08:18:27 2022 reduce to 75561423 relations and 62158658 ideals in 7 passes
  76. Wed Feb 16 08:18:27 2022 max relations containing the same ideal: 114
  77. Wed Feb 16 08:19:07 2022 removing 6293180 relations and 4293180 ideals in 2000000 cliques
  78. Wed Feb 16 08:19:11 2022 commencing in-memory singleton removal
  79. Wed Feb 16 08:19:18 2022 begin with 69268243 relations and 62158658 unique ideals
  80. Wed Feb 16 08:20:11 2022 reduce to 68882625 relations and 57470937 ideals in 7 passes
  81. Wed Feb 16 08:20:11 2022 max relations containing the same ideal: 106
  82. Wed Feb 16 08:20:47 2022 removing 6295576 relations and 4295576 ideals in 2000000 cliques
  83. Wed Feb 16 08:20:51 2022 commencing in-memory singleton removal
  84. Wed Feb 16 08:20:57 2022 begin with 62587049 relations and 57470937 unique ideals
  85. Wed Feb 16 08:21:41 2022 reduce to 62163922 relations and 52741594 ideals in 7 passes
  86. Wed Feb 16 08:21:41 2022 max relations containing the same ideal: 100
  87. Wed Feb 16 08:22:14 2022 removing 6325205 relations and 4325205 ideals in 2000000 cliques
  88. Wed Feb 16 08:22:18 2022 commencing in-memory singleton removal
  89. Wed Feb 16 08:22:22 2022 begin with 55838717 relations and 52741594 unique ideals
  90. Wed Feb 16 08:23:01 2022 reduce to 55366440 relations and 47931257 ideals in 7 passes
  91. Wed Feb 16 08:23:01 2022 max relations containing the same ideal: 93
  92. Wed Feb 16 08:23:32 2022 removing 6386395 relations and 4386395 ideals in 2000000 cliques
  93. Wed Feb 16 08:23:36 2022 commencing in-memory singleton removal
  94. Wed Feb 16 08:23:41 2022 begin with 48980045 relations and 47931257 unique ideals
  95. Wed Feb 16 08:24:21 2022 reduce to 48439288 relations and 42987431 ideals in 8 passes
  96. Wed Feb 16 08:24:21 2022 max relations containing the same ideal: 84
  97. Wed Feb 16 08:24:48 2022 removing 6477764 relations and 4477764 ideals in 2000000 cliques
  98. Wed Feb 16 08:24:52 2022 commencing in-memory singleton removal
  99. Wed Feb 16 08:24:55 2022 begin with 41961524 relations and 42987431 unique ideals
  100. Wed Feb 16 08:25:33 2022 reduce to 41317348 relations and 37842575 ideals in 9 passes
  101. Wed Feb 16 08:25:33 2022 max relations containing the same ideal: 76
  102. Wed Feb 16 08:25:55 2022 removing 6611327 relations and 4611327 ideals in 2000000 cliques
  103. Wed Feb 16 08:25:58 2022 commencing in-memory singleton removal
  104. Wed Feb 16 08:26:01 2022 begin with 34706021 relations and 37842575 unique ideals
  105. Wed Feb 16 08:26:28 2022 reduce to 33905281 relations and 32397693 ideals in 8 passes
  106. Wed Feb 16 08:26:28 2022 max relations containing the same ideal: 68
  107. Wed Feb 16 08:26:47 2022 removing 1791074 relations and 1417802 ideals in 373272 cliques
  108. Wed Feb 16 08:26:49 2022 commencing in-memory singleton removal
  109. Wed Feb 16 08:26:52 2022 begin with 32114207 relations and 32397693 unique ideals
  110. Wed Feb 16 08:27:10 2022 reduce to 32045212 relations and 30910208 ideals in 6 passes
  111. Wed Feb 16 08:27:10 2022 max relations containing the same ideal: 65
  112. Wed Feb 16 08:27:33 2022 relations with 0 large ideals: 3331
  113. Wed Feb 16 08:27:33 2022 relations with 1 large ideals: 27195
  114. Wed Feb 16 08:27:33 2022 relations with 2 large ideals: 346808
  115. Wed Feb 16 08:27:33 2022 relations with 3 large ideals: 1828365
  116. Wed Feb 16 08:27:33 2022 relations with 4 large ideals: 5100907
  117. Wed Feb 16 08:27:33 2022 relations with 5 large ideals: 8357875
  118. Wed Feb 16 08:27:33 2022 relations with 6 large ideals: 8490117
  119. Wed Feb 16 08:27:33 2022 relations with 7+ large ideals: 7890614
  120. Wed Feb 16 08:27:33 2022 commencing 2-way merge
  121. Wed Feb 16 08:27:57 2022 reduce to 20520909 relation sets and 19385905 unique ideals
  122. Wed Feb 16 08:27:57 2022 commencing full merge
  123. Wed Feb 16 08:37:02 2022 memory use: 2412.5 MB
  124. Wed Feb 16 08:37:04 2022 found 8754242 cycles, need 8740105
  125. Wed Feb 16 08:37:08 2022 weight of 8740105 cycles is about 1189485442 (136.10/cycle)
  126. Wed Feb 16 08:37:08 2022 distribution of cycle lengths:
  127. Wed Feb 16 08:37:08 2022 1 relations: 302667
  128. Wed Feb 16 08:37:08 2022 2 relations: 454676
  129. Wed Feb 16 08:37:08 2022 3 relations: 533982
  130. Wed Feb 16 08:37:08 2022 4 relations: 551324
  131. Wed Feb 16 08:37:08 2022 5 relations: 568857
  132. Wed Feb 16 08:37:08 2022 6 relations: 570612
  133. Wed Feb 16 08:37:08 2022 7 relations: 567707
  134. Wed Feb 16 08:37:08 2022 8 relations: 557163
  135. Wed Feb 16 08:37:08 2022 9 relations: 536907
  136. Wed Feb 16 08:37:08 2022 10+ relations: 4096210
  137. Wed Feb 16 08:37:08 2022 heaviest cycle: 28 relations
  138. Wed Feb 16 08:37:11 2022 commencing cycle optimization
  139. Wed Feb 16 08:37:34 2022 start with 86627343 relations
  140. Wed Feb 16 08:41:55 2022 pruned 4421086 relations
  141. Wed Feb 16 08:41:55 2022 memory use: 2203.5 MB
  142. Wed Feb 16 08:41:55 2022 distribution of cycle lengths:
  143. Wed Feb 16 08:41:55 2022 1 relations: 302667
  144. Wed Feb 16 08:41:55 2022 2 relations: 467864
  145. Wed Feb 16 08:41:55 2022 3 relations: 558228
  146. Wed Feb 16 08:41:55 2022 4 relations: 575430
  147. Wed Feb 16 08:41:55 2022 5 relations: 599403
  148. Wed Feb 16 08:41:55 2022 6 relations: 601303
  149. Wed Feb 16 08:41:55 2022 7 relations: 601694
  150. Wed Feb 16 08:41:55 2022 8 relations: 588688
  151. Wed Feb 16 08:41:55 2022 9 relations: 567474
  152. Wed Feb 16 08:41:55 2022 10+ relations: 3877354
  153. Wed Feb 16 08:41:55 2022 heaviest cycle: 28 relations
  154. Wed Feb 16 08:42:19 2022 RelProcTime: 6830
  155. Wed Feb 16 08:42:19 2022 elapsed time 01:53:50
  156. Wed Feb 16 08:44:43 2022
  157. Wed Feb 16 08:44:43 2022
  158. Wed Feb 16 08:44:43 2022 Msieve v. 1.54 (SVN 1043M)
  159. Wed Feb 16 08:44:43 2022 random seeds: c4b7798c 82e0a903
  160. Wed Feb 16 08:44:43 2022 factoring 2255036167482618021343243541444285990244060182293652222681960718101154773309004040669072256017521681225571006279544206113641948377553377901423422051221226699912850292997 (169 digits)
  161. Wed Feb 16 08:44:44 2022 searching for 15-digit factors
  162. Wed Feb 16 08:44:44 2022 commencing number field sieve (169-digit input)
  163. Wed Feb 16 08:44:44 2022 R0: -363648016678590540861963623819446
  164. Wed Feb 16 08:44:44 2022 R1: 22755250068196960577393
  165. Wed Feb 16 08:44:44 2022 A0: 627937381676244982467376723546395643453
  166. Wed Feb 16 08:44:44 2022 A1: 1835169530309631827497468546335908
  167. Wed Feb 16 08:44:44 2022 A2: -306417638098503281182282467
  168. Wed Feb 16 08:44:44 2022 A3: -121510053526373613532
  169. Wed Feb 16 08:44:44 2022 A4: 10161367326430
  170. Wed Feb 16 08:44:44 2022 A5: 1772400
  171. Wed Feb 16 08:44:44 2022 skew 4235434.59, size 2.106e-16, alpha -6.401, combined = 4.545e-13 rroots = 5
  172. Wed Feb 16 08:44:44 2022
  173. Wed Feb 16 08:44:44 2022 commencing linear algebra
  174. Wed Feb 16 08:44:45 2022 read 8740105 cycles
  175. Wed Feb 16 08:45:10 2022 cycles contain 31434191 unique relations
  176. Wed Feb 16 08:47:59 2022 read 31434191 relations
  177. Wed Feb 16 08:49:08 2022 using 20 quadratic characters above 4294917295
  178. Wed Feb 16 08:51:50 2022 building initial matrix
  179. Wed Feb 16 09:00:11 2022 memory use: 4264.2 MB
  180. Wed Feb 16 09:00:17 2022 read 8740105 cycles
  181. Wed Feb 16 09:00:18 2022 matrix is 8739928 x 8740105 (4535.8 MB) with weight 1375683874 (157.40/col)
  182. Wed Feb 16 09:00:18 2022 sparse part has weight 1092885643 (125.04/col)
  183. Wed Feb 16 09:02:37 2022 filtering completed in 2 passes
  184. Wed Feb 16 09:02:39 2022 matrix is 8739847 x 8740024 (4535.8 MB) with weight 1375680162 (157.40/col)
  185. Wed Feb 16 09:02:39 2022 sparse part has weight 1092884644 (125.04/col)
  186. Wed Feb 16 09:05:10 2022 matrix starts at (0, 0)
  187. Wed Feb 16 09:05:12 2022 matrix is 8739847 x 8740024 (4535.8 MB) with weight 1375680162 (157.40/col)
  188. Wed Feb 16 09:05:12 2022 sparse part has weight 1092884644 (125.04/col)
  189. Wed Feb 16 09:05:12 2022 saving the first 48 matrix rows for later
  190. Wed Feb 16 09:05:13 2022 matrix includes 64 packed rows
  191. Wed Feb 16 09:05:14 2022 matrix is 8739799 x 8740024 (4421.1 MB) with weight 1187518615 (135.87/col)
  192. Wed Feb 16 09:05:14 2022 sparse part has weight 1071565590 (122.60/col)
  193. Wed Feb 16 09:05:14 2022 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  194. Wed Feb 16 09:05:48 2022 commencing Lanczos iteration (4 threads)
  195. Wed Feb 16 09:05:48 2022 memory use: 4140.3 MB
  196. Wed Feb 16 09:06:28 2022 linear algebra at 0.0%, ETA 60h43m
  197. Wed Feb 16 09:06:40 2022 checkpointing every 150000 dimensions
  198. Wed Feb 16 09:16:05 2022 lanczos halted after 333 iterations (dim = 21083)
  199. Wed Feb 16 15:59:32 2022
  200. Wed Feb 16 15:59:32 2022
  201. Wed Feb 16 15:59:32 2022 Msieve v. 1.54 (SVN unknown)
  202. Wed Feb 16 15:59:32 2022 random seeds: 7452b1ab d09e5573
  203. Wed Feb 16 15:59:32 2022 factoring 2255036167482618021343243541444285990244060182293652222681960718101154773309004040669072256017521681225571006279544206113641948377553377901423422051221226699912850292997 (169 digits)
  204. Wed Feb 16 15:59:32 2022 no P-1/P+1/ECM available, skipping
  205. Wed Feb 16 15:59:32 2022 commencing number field sieve (169-digit input)
  206. Wed Feb 16 15:59:32 2022 R0: -363648016678590540861963623819446
  207. Wed Feb 16 15:59:32 2022 R1: 22755250068196960577393
  208. Wed Feb 16 15:59:32 2022 A0: 627937381676244982467376723546395643453
  209. Wed Feb 16 15:59:32 2022 A1: 1835169530309631827497468546335908
  210. Wed Feb 16 15:59:32 2022 A2: -306417638098503281182282467
  211. Wed Feb 16 15:59:32 2022 A3: -121510053526373613532
  212. Wed Feb 16 15:59:32 2022 A4: 10161367326430
  213. Wed Feb 16 15:59:32 2022 A5: 1772400
  214. Wed Feb 16 15:59:32 2022 skew 4235434.59, size 2.106e-16, alpha -6.401, combined = 4.545e-13 rroots = 5
  215. Wed Feb 16 15:59:32 2022
  216. Wed Feb 16 15:59:32 2022 commencing linear algebra
  217. Wed Feb 16 15:59:32 2022 using VBITS=128
  218. Wed Feb 16 15:59:32 2022 skipping matrix build
  219. Wed Feb 16 15:59:48 2022 matrix starts at (0, 0)
  220. Wed Feb 16 15:59:50 2022 matrix is 8739847 x 8740024 (4535.8 MB) with weight 1375680162 (157.40/col)
  221. Wed Feb 16 15:59:50 2022 sparse part has weight 1092884644 (125.04/col)
  222. Wed Feb 16 15:59:50 2022 saving the first 112 matrix rows for later
  223. Wed Feb 16 15:59:52 2022 matrix includes 128 packed rows
  224. Wed Feb 16 15:59:55 2022 matrix is 8739735 x 8740024 (4206.2 MB) with weight 1071565590 (122.60/col)
  225. Wed Feb 16 15:59:55 2022 sparse part has weight 997759462 (114.16/col)
  226. Wed Feb 16 15:59:55 2022 using GPU 0 (Tesla P100-PCIE-16GB)
  227. Wed Feb 16 15:59:55 2022 selected card has CUDA arch 6.0
  228. Wed Feb 16 16:02:11 2022 commencing Lanczos iteration
  229. Wed Feb 16 16:02:12 2022 memory use: 8945.9 MB
  230. Wed Feb 16 16:02:17 2022 linear algebra at 0.0%, ETA 6h21m
  231. Wed Feb 16 16:02:19 2022 checkpointing every 1230000 dimensions
  232. Wed Feb 16 23:26:33 2022 lanczos halted after 68691 iterations (dim = 8739733)
  233. Wed Feb 16 23:26:55 2022 recovered 26 nontrivial dependencies
  234. Wed Feb 16 23:26:55 2022 BLanczosTime: 26843
  235. Wed Feb 16 23:26:55 2022 elapsed time 07:27:23
  236. Wed Feb 16 23:31:57 2022
  237. Wed Feb 16 23:31:57 2022
  238. Wed Feb 16 23:31:57 2022 Msieve v. 1.54 (SVN 1043M)
  239. Wed Feb 16 23:31:57 2022 random seeds: f803c547 3d6a3c8d
  240. Wed Feb 16 23:31:57 2022 factoring 2255036167482618021343243541444285990244060182293652222681960718101154773309004040669072256017521681225571006279544206113641948377553377901423422051221226699912850292997 (169 digits)
  241. Wed Feb 16 23:31:58 2022 searching for 15-digit factors
  242. Wed Feb 16 23:31:58 2022 commencing number field sieve (169-digit input)
  243. Wed Feb 16 23:31:58 2022 R0: -363648016678590540861963623819446
  244. Wed Feb 16 23:31:58 2022 R1: 22755250068196960577393
  245. Wed Feb 16 23:31:58 2022 A0: 627937381676244982467376723546395643453
  246. Wed Feb 16 23:31:58 2022 A1: 1835169530309631827497468546335908
  247. Wed Feb 16 23:31:58 2022 A2: -306417638098503281182282467
  248. Wed Feb 16 23:31:58 2022 A3: -121510053526373613532
  249. Wed Feb 16 23:31:58 2022 A4: 10161367326430
  250. Wed Feb 16 23:31:58 2022 A5: 1772400
  251. Wed Feb 16 23:31:58 2022 skew 4235434.59, size 2.106e-16, alpha -6.401, combined = 4.545e-13 rroots = 5
  252. Wed Feb 16 23:31:58 2022
  253. Wed Feb 16 23:31:58 2022 commencing square root phase
  254. Wed Feb 16 23:31:58 2022 reading relations for dependency 1
  255. Wed Feb 16 23:32:00 2022 read 4371004 cycles
  256. Wed Feb 16 23:32:14 2022 cycles contain 15718282 unique relations
  257. Wed Feb 16 23:34:21 2022 read 15718282 relations
  258. Wed Feb 16 23:36:08 2022 multiplying 15718282 relations
  259. Thu Feb 17 00:01:34 2022 multiply complete, coefficients have about 895.26 million bits
  260. Thu Feb 17 00:01:39 2022 initial square root is modulo 107612959
  261. Thu Feb 17 00:32:19 2022 sqrtTime: 3621
  262. Thu Feb 17 00:32:19 2022 p79 factor: 3117787282893590999572361502471149940428319002796286714196798997173121297064357
  263. Thu Feb 17 00:32:19 2022 p90 factor: 723280956290814925660371182002898173308712643079777486914022345600857350819367848571159521
  264. Thu Feb 17 00:32:19 2022 elapsed time 01:00:22
  265.  
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