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Mar 31st, 2022
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  1. Wed Mar 30 17:11:01 2022
  2. Wed Mar 30 17:11:01 2022
  3. Wed Mar 30 17:11:01 2022 Msieve v. 1.54 (SVN 1043M)
  4. Wed Mar 30 17:11:01 2022 random seeds: ec2ea0ff dfb99cbc
  5. Wed Mar 30 17:11:01 2022 factoring 22276842301226585132341106198200912173332980944799930482618018057113655201923429360479420656870370310448442665893223536053945954293327292583270555015950759989197152506687487 (173 digits)
  6. Wed Mar 30 17:11:02 2022 searching for 15-digit factors
  7. Wed Mar 30 17:11:03 2022 commencing number field sieve (173-digit input)
  8. Wed Mar 30 17:11:03 2022 R0: -2765902860972033633973599283466844
  9. Wed Mar 30 17:11:03 2022 R1: 1006988305974138103
  10. Wed Mar 30 17:11:03 2022 A0: 18321852106509143345794807407995360194641625
  11. Wed Mar 30 17:11:03 2022 A1: 1399157333948765361269475696680656500
  12. Wed Mar 30 17:11:03 2022 A2: -210691410182847424726126620689
  13. Wed Mar 30 17:11:03 2022 A3: -1201115543601400527276
  14. Wed Mar 30 17:11:03 2022 A4: 71772320185384
  15. Wed Mar 30 17:11:03 2022 A5: 137616
  16. Wed Mar 30 17:11:03 2022 skew 54999984.70, size 6.826e-17, alpha -8.449, combined = 2.243e-13 rroots = 5
  17. Wed Mar 30 17:11:03 2022
  18. Wed Mar 30 17:11:03 2022 commencing relation filtering
  19. Wed Mar 30 17:11:03 2022 setting target matrix density to 140.0
  20. Wed Mar 30 17:11:03 2022 estimated available RAM is 63624.2 MB
  21. Wed Mar 30 17:11:03 2022 commencing duplicate removal, pass 1
  22. Wed Mar 30 17:54:58 2022 found 10243664 hash collisions in 216818425 relations
  23. Wed Mar 30 17:55:32 2022 added 122156 free relations
  24. Wed Mar 30 17:55:32 2022 commencing duplicate removal, pass 2
  25. Wed Mar 30 18:18:09 2022 found 11 duplicates and 216940570 unique relations
  26. Wed Mar 30 18:18:09 2022 memory use: 756.8 MB
  27. Wed Mar 30 18:18:09 2022 reading ideals above 720000
  28. Wed Mar 30 18:18:09 2022 commencing singleton removal, initial pass
  29. Wed Mar 30 19:15:30 2022 memory use: 5512.0 MB
  30. Wed Mar 30 19:15:31 2022 reading all ideals from disk
  31. Wed Mar 30 19:20:54 2022 memory use: 8616.4 MB
  32. Wed Mar 30 19:21:25 2022 keeping 178663105 ideals with weight <= 200, target excess is 1179554
  33. Wed Mar 30 19:22:04 2022 commencing in-memory singleton removal
  34. Wed Mar 30 19:22:26 2022 begin with 216940570 relations and 178663105 unique ideals
  35. Wed Mar 30 19:26:16 2022 reduce to 156651516 relations and 113349561 ideals in 11 passes
  36. Wed Mar 30 19:26:16 2022 max relations containing the same ideal: 170
  37. Wed Mar 30 19:27:39 2022 removing 9333757 relations and 7333757 ideals in 2000000 cliques
  38. Wed Mar 30 19:27:45 2022 commencing in-memory singleton removal
  39. Wed Mar 30 19:28:00 2022 begin with 147317759 relations and 113349561 unique ideals
  40. Wed Mar 30 19:30:11 2022 reduce to 146896514 relations and 105587605 ideals in 7 passes
  41. Wed Mar 30 19:30:11 2022 max relations containing the same ideal: 164
  42. Wed Mar 30 19:31:38 2022 removing 7163837 relations and 5163837 ideals in 2000000 cliques
  43. Wed Mar 30 19:31:45 2022 commencing in-memory singleton removal
  44. Wed Mar 30 19:31:58 2022 begin with 139732677 relations and 105587605 unique ideals
  45. Wed Mar 30 19:34:12 2022 reduce to 139447805 relations and 100134715 ideals in 7 passes
  46. Wed Mar 30 19:34:12 2022 max relations containing the same ideal: 158
  47. Wed Mar 30 19:35:27 2022 removing 6551112 relations and 4551112 ideals in 2000000 cliques
  48. Wed Mar 30 19:35:34 2022 commencing in-memory singleton removal
  49. Wed Mar 30 19:35:47 2022 begin with 132896693 relations and 100134715 unique ideals
  50. Wed Mar 30 19:37:23 2022 reduce to 132652064 relations and 95335503 ideals in 6 passes
  51. Wed Mar 30 19:37:23 2022 max relations containing the same ideal: 153
  52. Wed Mar 30 19:38:36 2022 removing 6228012 relations and 4228012 ideals in 2000000 cliques
  53. Wed Mar 30 19:38:42 2022 commencing in-memory singleton removal
  54. Wed Mar 30 19:38:54 2022 begin with 126424052 relations and 95335503 unique ideals
  55. Wed Mar 30 19:40:27 2022 reduce to 126200214 relations and 90880419 ideals in 6 passes
  56. Wed Mar 30 19:40:27 2022 max relations containing the same ideal: 149
  57. Wed Mar 30 19:41:35 2022 removing 6024218 relations and 4024218 ideals in 2000000 cliques
  58. Wed Mar 30 19:41:41 2022 commencing in-memory singleton removal
  59. Wed Mar 30 19:41:53 2022 begin with 120175996 relations and 90880419 unique ideals
  60. Wed Mar 30 19:43:35 2022 reduce to 119963648 relations and 86640627 ideals in 7 passes
  61. Wed Mar 30 19:43:35 2022 max relations containing the same ideal: 143
  62. Wed Mar 30 19:44:42 2022 removing 5880773 relations and 3880773 ideals in 2000000 cliques
  63. Wed Mar 30 19:44:48 2022 commencing in-memory singleton removal
  64. Wed Mar 30 19:45:00 2022 begin with 114082875 relations and 86640627 unique ideals
  65. Wed Mar 30 19:46:38 2022 reduce to 113877122 relations and 82550811 ideals in 6 passes
  66. Wed Mar 30 19:46:38 2022 max relations containing the same ideal: 139
  67. Wed Mar 30 19:47:43 2022 removing 5775178 relations and 3775178 ideals in 2000000 cliques
  68. Wed Mar 30 19:47:48 2022 commencing in-memory singleton removal
  69. Wed Mar 30 19:48:00 2022 begin with 108101944 relations and 82550811 unique ideals
  70. Wed Mar 30 19:49:24 2022 reduce to 107899016 relations and 78569317 ideals in 6 passes
  71. Wed Mar 30 19:49:24 2022 max relations containing the same ideal: 134
  72. Wed Mar 30 19:50:23 2022 removing 5691948 relations and 3691948 ideals in 2000000 cliques
  73. Wed Mar 30 19:50:28 2022 commencing in-memory singleton removal
  74. Wed Mar 30 19:50:39 2022 begin with 102207068 relations and 78569317 unique ideals
  75. Wed Mar 30 19:52:23 2022 reduce to 102003076 relations and 74669832 ideals in 8 passes
  76. Wed Mar 30 19:52:23 2022 max relations containing the same ideal: 130
  77. Wed Mar 30 19:53:20 2022 removing 5626302 relations and 3626302 ideals in 2000000 cliques
  78. Wed Mar 30 19:53:24 2022 commencing in-memory singleton removal
  79. Wed Mar 30 19:53:34 2022 begin with 96376774 relations and 74669832 unique ideals
  80. Wed Mar 30 19:54:45 2022 reduce to 96170319 relations and 70833302 ideals in 6 passes
  81. Wed Mar 30 19:54:45 2022 max relations containing the same ideal: 126
  82. Wed Mar 30 19:55:37 2022 removing 5577469 relations and 3577469 ideals in 2000000 cliques
  83. Wed Mar 30 19:55:41 2022 commencing in-memory singleton removal
  84. Wed Mar 30 19:55:50 2022 begin with 90592850 relations and 70833302 unique ideals
  85. Wed Mar 30 19:56:57 2022 reduce to 90382653 relations and 67041732 ideals in 6 passes
  86. Wed Mar 30 19:56:57 2022 max relations containing the same ideal: 120
  87. Wed Mar 30 19:57:48 2022 removing 5538782 relations and 3538782 ideals in 2000000 cliques
  88. Wed Mar 30 19:57:53 2022 commencing in-memory singleton removal
  89. Wed Mar 30 19:58:01 2022 begin with 84843871 relations and 67041732 unique ideals
  90. Wed Mar 30 19:59:00 2022 reduce to 84626844 relations and 63281341 ideals in 6 passes
  91. Wed Mar 30 19:59:00 2022 max relations containing the same ideal: 115
  92. Wed Mar 30 19:59:50 2022 removing 5514996 relations and 3514996 ideals in 2000000 cliques
  93. Wed Mar 30 19:59:55 2022 commencing in-memory singleton removal
  94. Wed Mar 30 20:00:03 2022 begin with 79111848 relations and 63281341 unique ideals
  95. Wed Mar 30 20:01:08 2022 reduce to 78885788 relations and 59535574 ideals in 6 passes
  96. Wed Mar 30 20:01:08 2022 max relations containing the same ideal: 111
  97. Wed Mar 30 20:01:53 2022 removing 5494835 relations and 3494835 ideals in 2000000 cliques
  98. Wed Mar 30 20:01:57 2022 commencing in-memory singleton removal
  99. Wed Mar 30 20:02:05 2022 begin with 73390953 relations and 59535574 unique ideals
  100. Wed Mar 30 20:03:10 2022 reduce to 73153654 relations and 55798009 ideals in 6 passes
  101. Wed Mar 30 20:03:10 2022 max relations containing the same ideal: 108
  102. Wed Mar 30 20:03:50 2022 removing 5488942 relations and 3488942 ideals in 2000000 cliques
  103. Wed Mar 30 20:03:54 2022 commencing in-memory singleton removal
  104. Wed Mar 30 20:04:00 2022 begin with 67664712 relations and 55798009 unique ideals
  105. Wed Mar 30 20:04:46 2022 reduce to 67411940 relations and 52050146 ideals in 6 passes
  106. Wed Mar 30 20:04:46 2022 max relations containing the same ideal: 101
  107. Wed Mar 30 20:05:26 2022 removing 5489181 relations and 3489181 ideals in 2000000 cliques
  108. Wed Mar 30 20:05:30 2022 commencing in-memory singleton removal
  109. Wed Mar 30 20:05:35 2022 begin with 61922759 relations and 52050146 unique ideals
  110. Wed Mar 30 20:06:16 2022 reduce to 61651064 relations and 48282199 ideals in 6 passes
  111. Wed Mar 30 20:06:16 2022 max relations containing the same ideal: 94
  112. Wed Mar 30 20:06:48 2022 removing 5502988 relations and 3502988 ideals in 2000000 cliques
  113. Wed Mar 30 20:06:51 2022 commencing in-memory singleton removal
  114. Wed Mar 30 20:06:56 2022 begin with 56148076 relations and 48282199 unique ideals
  115. Wed Mar 30 20:07:34 2022 reduce to 55852696 relations and 44475518 ideals in 6 passes
  116. Wed Mar 30 20:07:34 2022 max relations containing the same ideal: 89
  117. Wed Mar 30 20:08:04 2022 removing 5527047 relations and 3527047 ideals in 2000000 cliques
  118. Wed Mar 30 20:08:07 2022 commencing in-memory singleton removal
  119. Wed Mar 30 20:08:11 2022 begin with 50325649 relations and 44475518 unique ideals
  120. Wed Mar 30 20:08:48 2022 reduce to 49998468 relations and 40611268 ideals in 6 passes
  121. Wed Mar 30 20:08:48 2022 max relations containing the same ideal: 84
  122. Wed Mar 30 20:09:17 2022 removing 5563488 relations and 3563488 ideals in 2000000 cliques
  123. Wed Mar 30 20:09:20 2022 commencing in-memory singleton removal
  124. Wed Mar 30 20:09:24 2022 begin with 44434980 relations and 40611268 unique ideals
  125. Wed Mar 30 20:10:05 2022 reduce to 44065386 relations and 36665644 ideals in 8 passes
  126. Wed Mar 30 20:10:05 2022 max relations containing the same ideal: 75
  127. Wed Mar 30 20:10:30 2022 removing 5614491 relations and 3614491 ideals in 2000000 cliques
  128. Wed Mar 30 20:10:33 2022 commencing in-memory singleton removal
  129. Wed Mar 30 20:10:36 2022 begin with 38450895 relations and 36665644 unique ideals
  130. Wed Mar 30 20:11:12 2022 reduce to 38023782 relations and 32608147 ideals in 9 passes
  131. Wed Mar 30 20:11:12 2022 max relations containing the same ideal: 67
  132. Wed Mar 30 20:11:36 2022 removing 5681587 relations and 3681587 ideals in 2000000 cliques
  133. Wed Mar 30 20:11:38 2022 commencing in-memory singleton removal
  134. Wed Mar 30 20:11:42 2022 begin with 32342195 relations and 32608147 unique ideals
  135. Wed Mar 30 20:12:06 2022 reduce to 31834038 relations and 28396535 ideals in 7 passes
  136. Wed Mar 30 20:12:06 2022 max relations containing the same ideal: 59
  137. Wed Mar 30 20:12:23 2022 removing 5765673 relations and 3765673 ideals in 2000000 cliques
  138. Wed Mar 30 20:12:26 2022 commencing in-memory singleton removal
  139. Wed Mar 30 20:12:28 2022 begin with 26068365 relations and 28396535 unique ideals
  140. Wed Mar 30 20:12:49 2022 reduce to 25430894 relations and 23960447 ideals in 8 passes
  141. Wed Mar 30 20:12:49 2022 max relations containing the same ideal: 51
  142. Wed Mar 30 20:13:04 2022 removing 499496 relations and 397332 ideals in 102164 cliques
  143. Wed Mar 30 20:13:06 2022 commencing in-memory singleton removal
  144. Wed Mar 30 20:13:08 2022 begin with 24931398 relations and 23960447 unique ideals
  145. Wed Mar 30 20:13:27 2022 reduce to 24923737 relations and 23555416 ideals in 6 passes
  146. Wed Mar 30 20:13:27 2022 max relations containing the same ideal: 50
  147. Wed Mar 30 20:13:32 2022 relations with 0 large ideals: 3724
  148. Wed Mar 30 20:13:32 2022 relations with 1 large ideals: 39880
  149. Wed Mar 30 20:13:32 2022 relations with 2 large ideals: 459711
  150. Wed Mar 30 20:13:32 2022 relations with 3 large ideals: 2131379
  151. Wed Mar 30 20:13:32 2022 relations with 4 large ideals: 5072130
  152. Wed Mar 30 20:13:32 2022 relations with 5 large ideals: 6955412
  153. Wed Mar 30 20:13:32 2022 relations with 6 large ideals: 5882442
  154. Wed Mar 30 20:13:32 2022 relations with 7+ large ideals: 4379059
  155. Wed Mar 30 20:13:32 2022 commencing 2-way merge
  156. Wed Mar 30 20:13:52 2022 reduce to 16509224 relation sets and 15140903 unique ideals
  157. Wed Mar 30 20:13:52 2022 commencing full merge
  158. Wed Mar 30 20:21:16 2022 memory use: 1947.8 MB
  159. Wed Mar 30 20:21:18 2022 found 7298526 cycles, need 7191103
  160. Wed Mar 30 20:21:22 2022 weight of 7191103 cycles is about 1007575238 (140.11/cycle)
  161. Wed Mar 30 20:21:22 2022 distribution of cycle lengths:
  162. Wed Mar 30 20:21:22 2022 1 relations: 141256
  163. Wed Mar 30 20:21:22 2022 2 relations: 316728
  164. Wed Mar 30 20:21:22 2022 3 relations: 417338
  165. Wed Mar 30 20:21:22 2022 4 relations: 463860
  166. Wed Mar 30 20:21:22 2022 5 relations: 508877
  167. Wed Mar 30 20:21:22 2022 6 relations: 526911
  168. Wed Mar 30 20:21:22 2022 7 relations: 535933
  169. Wed Mar 30 20:21:22 2022 8 relations: 522349
  170. Wed Mar 30 20:21:22 2022 9 relations: 500979
  171. Wed Mar 30 20:21:22 2022 10+ relations: 3256872
  172. Wed Mar 30 20:21:22 2022 heaviest cycle: 28 relations
  173. Wed Mar 30 20:21:24 2022 commencing cycle optimization
  174. Wed Mar 30 20:21:43 2022 start with 68936339 relations
  175. Wed Mar 30 20:24:59 2022 pruned 3890057 relations
  176. Wed Mar 30 20:24:59 2022 memory use: 1732.8 MB
  177. Wed Mar 30 20:24:59 2022 distribution of cycle lengths:
  178. Wed Mar 30 20:24:59 2022 1 relations: 141256
  179. Wed Mar 30 20:24:59 2022 2 relations: 326846
  180. Wed Mar 30 20:24:59 2022 3 relations: 438266
  181. Wed Mar 30 20:24:59 2022 4 relations: 489069
  182. Wed Mar 30 20:24:59 2022 5 relations: 542640
  183. Wed Mar 30 20:24:59 2022 6 relations: 562930
  184. Wed Mar 30 20:24:59 2022 7 relations: 576014
  185. Wed Mar 30 20:24:59 2022 8 relations: 559725
  186. Wed Mar 30 20:24:59 2022 9 relations: 535394
  187. Wed Mar 30 20:24:59 2022 10+ relations: 3018963
  188. Wed Mar 30 20:24:59 2022 heaviest cycle: 28 relations
  189. Wed Mar 30 20:25:17 2022 RelProcTime: 11654
  190. Wed Mar 30 20:25:17 2022 elapsed time 03:14:16
  191. Wed Mar 30 20:26:54 2022
  192. Wed Mar 30 20:26:54 2022
  193. Wed Mar 30 20:26:54 2022 Msieve v. 1.54 (SVN 1043M)
  194. Wed Mar 30 20:26:54 2022 random seeds: e4a8fa0a 0e67c2ed
  195. Wed Mar 30 20:26:54 2022 factoring 22276842301226585132341106198200912173332980944799930482618018057113655201923429360479420656870370310448442665893223536053945954293327292583270555015950759989197152506687487 (173 digits)
  196. Wed Mar 30 20:26:54 2022 searching for 15-digit factors
  197. Wed Mar 30 20:26:55 2022 commencing number field sieve (173-digit input)
  198. Wed Mar 30 20:26:55 2022 R0: -2765902860972033633973599283466844
  199. Wed Mar 30 20:26:55 2022 R1: 1006988305974138103
  200. Wed Mar 30 20:26:55 2022 A0: 18321852106509143345794807407995360194641625
  201. Wed Mar 30 20:26:55 2022 A1: 1399157333948765361269475696680656500
  202. Wed Mar 30 20:26:55 2022 A2: -210691410182847424726126620689
  203. Wed Mar 30 20:26:55 2022 A3: -1201115543601400527276
  204. Wed Mar 30 20:26:55 2022 A4: 71772320185384
  205. Wed Mar 30 20:26:55 2022 A5: 137616
  206. Wed Mar 30 20:26:55 2022 skew 54999984.70, size 6.826e-17, alpha -8.449, combined = 2.243e-13 rroots = 5
  207. Wed Mar 30 20:26:55 2022
  208. Wed Mar 30 20:26:55 2022 commencing linear algebra
  209. Wed Mar 30 20:26:55 2022 read 7191103 cycles
  210. Wed Mar 30 20:27:16 2022 cycles contain 24314688 unique relations
  211. Wed Mar 30 20:57:44 2022 read 24314688 relations
  212. Wed Mar 30 20:58:38 2022 using 20 quadratic characters above 4294917295
  213. Wed Mar 30 21:00:55 2022 building initial matrix
  214. Wed Mar 30 21:08:28 2022 memory use: 3478.0 MB
  215. Wed Mar 30 21:08:55 2022 read 7191103 cycles
  216. Wed Mar 30 21:08:56 2022 matrix is 7190924 x 7191103 (3835.7 MB) with weight 1174518066 (163.33/col)
  217. Wed Mar 30 21:08:56 2022 sparse part has weight 919220237 (127.83/col)
  218. Wed Mar 30 21:10:52 2022 filtering completed in 2 passes
  219. Wed Mar 30 21:10:54 2022 matrix is 7190740 x 7190919 (3835.7 MB) with weight 1174507118 (163.33/col)
  220. Wed Mar 30 21:10:54 2022 sparse part has weight 919215932 (127.83/col)
  221. Wed Mar 30 21:11:22 2022 matrix starts at (0, 0)
  222. Wed Mar 30 21:11:23 2022 matrix is 7190740 x 7190919 (3835.7 MB) with weight 1174507118 (163.33/col)
  223. Wed Mar 30 21:11:23 2022 sparse part has weight 919215932 (127.83/col)
  224. Wed Mar 30 21:11:23 2022 saving the first 48 matrix rows for later
  225. Wed Mar 30 21:11:25 2022 matrix includes 64 packed rows
  226. Wed Mar 30 21:11:26 2022 matrix is 7190692 x 7190919 (3769.1 MB) with weight 1020096509 (141.86/col)
  227. Wed Mar 30 21:11:26 2022 sparse part has weight 916136614 (127.40/col)
  228. Wed Mar 30 21:11:26 2022 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  229. Wed Mar 30 21:11:59 2022 commencing Lanczos iteration
  230. Wed Mar 30 21:11:59 2022 memory use: 3475.5 MB
  231. Wed Mar 30 21:14:50 2022 linear algebra at 0.0%, ETA 217h30m
  232. Wed Mar 30 21:15:43 2022 checkpointing every 40000 dimensions
  233. Thu Mar 31 05:03:43 2022
  234. Thu Mar 31 05:03:43 2022
  235. Thu Mar 31 05:03:43 2022 Msieve v. 1.54 (SVN 1043M)
  236. Thu Mar 31 05:03:43 2022 random seeds: c377ad98 e25532ae
  237. Thu Mar 31 05:03:43 2022 factoring 22276842301226585132341106198200912173332980944799930482618018057113655201923429360479420656870370310448442665893223536053945954293327292583270555015950759989197152506687487 (173 digits)
  238. Thu Mar 31 05:03:44 2022 searching for 15-digit factors
  239. Thu Mar 31 05:03:45 2022 commencing number field sieve (173-digit input)
  240. Thu Mar 31 05:03:45 2022 R0: -2765902860972033633973599283466844
  241. Thu Mar 31 05:03:45 2022 R1: 1006988305974138103
  242. Thu Mar 31 05:03:45 2022 A0: 18321852106509143345794807407995360194641625
  243. Thu Mar 31 05:03:45 2022 A1: 1399157333948765361269475696680656500
  244. Thu Mar 31 05:03:45 2022 A2: -210691410182847424726126620689
  245. Thu Mar 31 05:03:45 2022 A3: -1201115543601400527276
  246. Thu Mar 31 05:03:45 2022 A4: 71772320185384
  247. Thu Mar 31 05:03:45 2022 A5: 137616
  248. Thu Mar 31 05:03:45 2022 skew 54999984.70, size 6.826e-17, alpha -8.449, combined = 2.243e-13 rroots = 5
  249. Thu Mar 31 05:03:45 2022
  250. Thu Mar 31 05:03:45 2022 commencing square root phase
  251. Thu Mar 31 05:03:45 2022 reading relations for dependency 1
  252. Thu Mar 31 05:04:23 2022 read 3596889 cycles
  253. Thu Mar 31 05:04:35 2022 cycles contain 12164098 unique relations
  254. Thu Mar 31 05:38:03 2022 read 12164098 relations
  255. Thu Mar 31 05:39:32 2022 multiplying 12164098 relations
  256. Thu Mar 31 05:56:20 2022 multiply complete, coefficients have about 704.92 million bits
  257. Thu Mar 31 05:56:26 2022 initial square root is modulo 2109911
  258. Thu Mar 31 06:15:50 2022 sqrtTime: 4325
  259. Thu Mar 31 06:15:50 2022 p67 factor: 3689064608551825897338211468881829880164385125360005195603354718979
  260. Thu Mar 31 06:15:50 2022 p106 factor: 6038615384936712059575855440898498449690699988868336808717235589708117777837288466904080103335414074810453
  261. Thu Mar 31 06:15:50 2022 elapsed time 01:12:07
  262.  
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