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  1. Fri Aug 19 21:02:15 2022 Msieve v. 1.54 (SVN 1043M)
  2. Fri Aug 19 21:02:15 2022 random seeds: e266fba2 43f27e1b
  3. Fri Aug 19 21:02:15 2022 factoring 3443671211875592673692410405878773741590128830637420629071903338802101552170315523638510310711142179327881242898400825308153469780588367727373519589991041267518970815116866106440572589 (184 digits)
  4. Fri Aug 19 21:02:16 2022 no P-1/P+1/ECM available, skipping
  5. Fri Aug 19 21:02:16 2022 commencing number field sieve (184-digit input)
  6. Fri Aug 19 21:02:16 2022 R0: -250478543763798807115283741750404037
  7. Fri Aug 19 21:02:16 2022 R1: 24096991062348010806961
  8. Fri Aug 19 21:02:16 2022 A0: -166073624299973756029181204680717636447622880
  9. Fri Aug 19 21:02:16 2022 A1: 12672586061064920164358430844686067472
  10. Fri Aug 19 21:02:16 2022 A2: 349011108967340959348153651598
  11. Fri Aug 19 21:02:16 2022 A3: -14788811629198192142371
  12. Fri Aug 19 21:02:16 2022 A4: 439757720590086
  13. Fri Aug 19 21:02:16 2022 A5: 3492720
  14. Fri Aug 19 21:02:16 2022 skew 45005263.17, size 5.013e-18, alpha -7.524, combined = 4.648e-14 rroots = 3
  15. Fri Aug 19 21:02:16 2022
  16. Fri Aug 19 21:02:16 2022 commencing relation filtering
  17. Fri Aug 19 21:02:16 2022 setting target matrix density to 130.0
  18. Fri Aug 19 21:02:16 2022 estimated available RAM is 64239.0 MB
  19. Fri Aug 19 21:02:16 2022 commencing duplicate removal, pass 1
  20. Fri Aug 19 21:08:21 2022 error -15 reading relation 55395798
  21. Fri Aug 19 21:31:33 2022 error -15 reading relation 273421864
  22. Fri Aug 19 21:32:43 2022 found 17211520 hash collisions in 283818789 relations
  23. Fri Aug 19 21:33:03 2022 added 121667 free relations
  24. Fri Aug 19 21:33:03 2022 commencing duplicate removal, pass 2
  25. Fri Aug 19 21:34:51 2022 found 25 duplicates and 283940431 unique relations
  26. Fri Aug 19 21:34:51 2022 memory use: 788.8 MB
  27. Fri Aug 19 21:34:51 2022 reading ideals above 720000
  28. Fri Aug 19 21:34:51 2022 commencing singleton removal, initial pass
  29. Fri Aug 19 22:12:46 2022 memory use: 6024.0 MB
  30. Fri Aug 19 22:12:46 2022 reading all ideals from disk
  31. Fri Aug 19 22:12:56 2022 memory use: 11861.8 MB
  32. Fri Aug 19 22:13:33 2022 keeping 262245341 ideals with weight <= 200, target excess is 1453319
  33. Fri Aug 19 22:14:27 2022 commencing in-memory singleton removal
  34. Fri Aug 19 22:14:56 2022 begin with 283940431 relations and 262245341 unique ideals
  35. Fri Aug 19 22:19:46 2022 reduce to 191779230 relations and 161611163 ideals in 14 passes
  36. Fri Aug 19 22:19:46 2022 max relations containing the same ideal: 165
  37. Fri Aug 19 22:21:37 2022 removing 12278957 relations and 10278957 ideals in 2000000 cliques
  38. Fri Aug 19 22:21:41 2022 commencing in-memory singleton removal
  39. Fri Aug 19 22:21:52 2022 begin with 179500273 relations and 161611163 unique ideals
  40. Fri Aug 19 22:24:29 2022 reduce to 178870797 relations and 150693973 ideals in 9 passes
  41. Fri Aug 19 22:24:29 2022 max relations containing the same ideal: 158
  42. Fri Aug 19 22:25:45 2022 removing 9368689 relations and 7368689 ideals in 2000000 cliques
  43. Fri Aug 19 22:25:49 2022 commencing in-memory singleton removal
  44. Fri Aug 19 22:25:58 2022 begin with 169502108 relations and 150693973 unique ideals
  45. Fri Aug 19 22:27:39 2022 reduce to 169091518 relations and 142909876 ideals in 9 passes
  46. Fri Aug 19 22:27:39 2022 max relations containing the same ideal: 151
  47. Fri Aug 19 22:29:14 2022 removing 8483074 relations and 6483074 ideals in 2000000 cliques
  48. Fri Aug 19 22:29:19 2022 commencing in-memory singleton removal
  49. Fri Aug 19 22:29:32 2022 begin with 160608444 relations and 142909876 unique ideals
  50. Fri Aug 19 22:31:20 2022 reduce to 160247348 relations and 136061466 ideals in 7 passes
  51. Fri Aug 19 22:31:20 2022 max relations containing the same ideal: 145
  52. Fri Aug 19 22:32:36 2022 removing 8024651 relations and 6024651 ideals in 2000000 cliques
  53. Fri Aug 19 22:32:41 2022 commencing in-memory singleton removal
  54. Fri Aug 19 22:32:50 2022 begin with 152222697 relations and 136061466 unique ideals
  55. Fri Aug 19 22:34:20 2022 reduce to 151881955 relations and 129691981 ideals in 7 passes
  56. Fri Aug 19 22:34:20 2022 max relations containing the same ideal: 141
  57. Fri Aug 19 22:35:33 2022 removing 7745160 relations and 5745160 ideals in 2000000 cliques
  58. Fri Aug 19 22:35:36 2022 commencing in-memory singleton removal
  59. Fri Aug 19 22:35:47 2022 begin with 144136795 relations and 129691981 unique ideals
  60. Fri Aug 19 22:37:29 2022 reduce to 143803894 relations and 123609787 ideals in 7 passes
  61. Fri Aug 19 22:37:29 2022 max relations containing the same ideal: 135
  62. Fri Aug 19 22:38:41 2022 removing 7562235 relations and 5562235 ideals in 2000000 cliques
  63. Fri Aug 19 22:38:45 2022 commencing in-memory singleton removal
  64. Fri Aug 19 22:38:53 2022 begin with 136241659 relations and 123609787 unique ideals
  65. Fri Aug 19 22:40:09 2022 reduce to 135908431 relations and 117710134 ideals in 7 passes
  66. Fri Aug 19 22:40:09 2022 max relations containing the same ideal: 129
  67. Fri Aug 19 22:41:09 2022 removing 7442235 relations and 5442235 ideals in 2000000 cliques
  68. Fri Aug 19 22:41:12 2022 commencing in-memory singleton removal
  69. Fri Aug 19 22:41:19 2022 begin with 128466196 relations and 117710134 unique ideals
  70. Fri Aug 19 22:42:49 2022 reduce to 128124988 relations and 111922237 ideals in 8 passes
  71. Fri Aug 19 22:42:49 2022 max relations containing the same ideal: 126
  72. Fri Aug 19 22:43:53 2022 removing 7376578 relations and 5376578 ideals in 2000000 cliques
  73. Fri Aug 19 22:43:57 2022 commencing in-memory singleton removal
  74. Fri Aug 19 22:44:07 2022 begin with 120748410 relations and 111922237 unique ideals
  75. Fri Aug 19 22:45:14 2022 reduce to 120396310 relations and 106188711 ideals in 7 passes
  76. Fri Aug 19 22:45:14 2022 max relations containing the same ideal: 120
  77. Fri Aug 19 22:46:13 2022 removing 7343280 relations and 5343280 ideals in 2000000 cliques
  78. Fri Aug 19 22:46:17 2022 commencing in-memory singleton removal
  79. Fri Aug 19 22:46:24 2022 begin with 113053030 relations and 106188711 unique ideals
  80. Fri Aug 19 22:47:46 2022 reduce to 112681845 relations and 100468825 ideals in 8 passes
  81. Fri Aug 19 22:47:46 2022 max relations containing the same ideal: 115
  82. Fri Aug 19 22:48:54 2022 removing 7344643 relations and 5344643 ideals in 2000000 cliques
  83. Fri Aug 19 22:48:57 2022 commencing in-memory singleton removal
  84. Fri Aug 19 22:49:05 2022 begin with 105337202 relations and 100468825 unique ideals
  85. Fri Aug 19 22:49:54 2022 reduce to 104941807 relations and 94722686 ideals in 7 passes
  86. Fri Aug 19 22:49:54 2022 max relations containing the same ideal: 110
  87. Fri Aug 19 22:50:45 2022 removing 7375305 relations and 5375305 ideals in 2000000 cliques
  88. Fri Aug 19 22:50:49 2022 commencing in-memory singleton removal
  89. Fri Aug 19 22:50:57 2022 begin with 97566502 relations and 94722686 unique ideals
  90. Fri Aug 19 22:52:01 2022 reduce to 97137569 relations and 88911291 ideals in 7 passes
  91. Fri Aug 19 22:52:01 2022 max relations containing the same ideal: 105
  92. Fri Aug 19 22:53:01 2022 removing 7437885 relations and 5437885 ideals in 2000000 cliques
  93. Fri Aug 19 22:53:04 2022 commencing in-memory singleton removal
  94. Fri Aug 19 22:53:12 2022 begin with 89699684 relations and 88911291 unique ideals
  95. Fri Aug 19 22:54:20 2022 reduce to 89224738 relations and 82990085 ideals in 9 passes
  96. Fri Aug 19 22:54:20 2022 max relations containing the same ideal: 99
  97. Fri Aug 19 22:55:07 2022 removing 7531123 relations and 5531123 ideals in 2000000 cliques
  98. Fri Aug 19 22:55:10 2022 commencing in-memory singleton removal
  99. Fri Aug 19 22:55:17 2022 begin with 81693615 relations and 82990085 unique ideals
  100. Fri Aug 19 22:56:22 2022 reduce to 81160870 relations and 76916068 ideals in 8 passes
  101. Fri Aug 19 22:56:22 2022 max relations containing the same ideal: 94
  102. Fri Aug 19 22:57:01 2022 removing 7667460 relations and 5667460 ideals in 2000000 cliques
  103. Fri Aug 19 22:57:04 2022 commencing in-memory singleton removal
  104. Fri Aug 19 22:57:08 2022 begin with 73493410 relations and 76916068 unique ideals
  105. Fri Aug 19 22:57:56 2022 reduce to 72879285 relations and 70621655 ideals in 8 passes
  106. Fri Aug 19 22:57:56 2022 max relations containing the same ideal: 87
  107. Fri Aug 19 22:58:42 2022 removing 2880347 relations and 2308568 ideals in 571779 cliques
  108. Fri Aug 19 22:58:44 2022 commencing in-memory singleton removal
  109. Fri Aug 19 22:58:50 2022 begin with 69998938 relations and 70621655 unique ideals
  110. Fri Aug 19 22:59:42 2022 reduce to 69912101 relations and 68225618 ideals in 7 passes
  111. Fri Aug 19 22:59:42 2022 max relations containing the same ideal: 85
  112. Fri Aug 19 23:00:25 2022 relations with 0 large ideals: 5037
  113. Fri Aug 19 23:00:25 2022 relations with 1 large ideals: 24764
  114. Fri Aug 19 23:00:25 2022 relations with 2 large ideals: 351600
  115. Fri Aug 19 23:00:25 2022 relations with 3 large ideals: 2181447
  116. Fri Aug 19 23:00:25 2022 relations with 4 large ideals: 7352079
  117. Fri Aug 19 23:00:25 2022 relations with 5 large ideals: 14909311
  118. Fri Aug 19 23:00:25 2022 relations with 6 large ideals: 19066140
  119. Fri Aug 19 23:00:25 2022 relations with 7+ large ideals: 26021723
  120. Fri Aug 19 23:00:25 2022 commencing 2-way merge
  121. Fri Aug 19 23:01:12 2022 reduce to 45040267 relation sets and 43353784 unique ideals
  122. Fri Aug 19 23:01:12 2022 commencing full merge
  123. Fri Aug 19 23:21:06 2022 memory use: 5265.1 MB
  124. Fri Aug 19 23:21:13 2022 found 19610437 cycles, need 19525984
  125. Fri Aug 19 23:21:19 2022 weight of 19525984 cycles is about 2539003544 (130.03/cycle)
  126. Fri Aug 19 23:21:19 2022 distribution of cycle lengths:
  127. Fri Aug 19 23:21:19 2022 1 relations: 1174411
  128. Fri Aug 19 23:21:19 2022 2 relations: 1298883
  129. Fri Aug 19 23:21:19 2022 3 relations: 1379619
  130. Fri Aug 19 23:21:19 2022 4 relations: 1365908
  131. Fri Aug 19 23:21:19 2022 5 relations: 1373219
  132. Fri Aug 19 23:21:19 2022 6 relations: 1331057
  133. Fri Aug 19 23:21:19 2022 7 relations: 1312112
  134. Fri Aug 19 23:21:19 2022 8 relations: 1246756
  135. Fri Aug 19 23:21:19 2022 9 relations: 1189527
  136. Fri Aug 19 23:21:19 2022 10+ relations: 7854492
  137. Fri Aug 19 23:21:19 2022 heaviest cycle: 28 relations
  138. Fri Aug 19 23:21:25 2022 commencing cycle optimization
  139. Fri Aug 19 23:22:28 2022 start with 172537262 relations
  140. Fri Aug 19 23:30:05 2022 pruned 7853264 relations
  141. Fri Aug 19 23:30:05 2022 memory use: 4637.1 MB
  142. Fri Aug 19 23:30:05 2022 distribution of cycle lengths:
  143. Fri Aug 19 23:30:05 2022 1 relations: 1174411
  144. Fri Aug 19 23:30:05 2022 2 relations: 1335233
  145. Fri Aug 19 23:30:05 2022 3 relations: 1440540
  146. Fri Aug 19 23:30:05 2022 4 relations: 1423521
  147. Fri Aug 19 23:30:05 2022 5 relations: 1440406
  148. Fri Aug 19 23:30:05 2022 6 relations: 1394658
  149. Fri Aug 19 23:30:05 2022 7 relations: 1375310
  150. Fri Aug 19 23:30:05 2022 8 relations: 1305635
  151. Fri Aug 19 23:30:05 2022 9 relations: 1240281
  152. Fri Aug 19 23:30:05 2022 10+ relations: 7395989
  153. Fri Aug 19 23:30:05 2022 heaviest cycle: 28 relations
  154. Fri Aug 19 23:30:45 2022 RelProcTime: 8909
  155. Fri Aug 19 23:30:50 2022 elapsed time 02:28:35
  156. Sat Aug 20 12:00:29 2022
  157. Sat Aug 20 12:00:29 2022
  158. Sat Aug 20 12:00:29 2022 Msieve v. 1.54 (SVN 1043M)
  159. Sat Aug 20 12:00:29 2022 random seeds: 464408ca 6eb939f4
  160. Sat Aug 20 12:00:29 2022 factoring 3443671211875592673692410405878773741590128830637420629071903338802101552170315523638510310711142179327881242898400825308153469780588367727373519589991041267518970815116866106440572589 (184 digits)
  161. Sat Aug 20 12:00:29 2022 no P-1/P+1/ECM available, skipping
  162. Sat Aug 20 12:00:29 2022 commencing number field sieve (184-digit input)
  163. Sat Aug 20 12:00:29 2022 R0: -250478543763798807115283741750404037
  164. Sat Aug 20 12:00:29 2022 R1: 24096991062348010806961
  165. Sat Aug 20 12:00:29 2022 A0: -166073624299973756029181204680717636447622880
  166. Sat Aug 20 12:00:29 2022 A1: 12672586061064920164358430844686067472
  167. Sat Aug 20 12:00:29 2022 A2: 349011108967340959348153651598
  168. Sat Aug 20 12:00:29 2022 A3: -14788811629198192142371
  169. Sat Aug 20 12:00:29 2022 A4: 439757720590086
  170. Sat Aug 20 12:00:29 2022 A5: 3492720
  171. Sat Aug 20 12:00:29 2022 skew 45005263.17, size 5.013e-18, alpha -7.524, combined = 4.648e-14 rroots = 3
  172. Sat Aug 20 12:00:29 2022
  173. Sat Aug 20 12:00:29 2022 commencing linear algebra
  174. Sat Aug 20 12:00:31 2022 read 19525984 cycles
  175. Sat Aug 20 12:01:07 2022 cycles contain 68977503 unique relations
  176. Sat Aug 20 12:06:01 2022 read 68977503 relations
  177. Sat Aug 20 12:09:20 2022 using 20 quadratic characters above 4294917295
  178. Sat Aug 20 12:12:22 2022 building initial matrix
  179. Sat Aug 20 12:29:41 2022 memory use: 9550.0 MB
  180. Sat Aug 20 12:29:48 2022 read 19525984 cycles
  181. Sat Aug 20 12:29:53 2022 matrix is 19525806 x 19525984 (9780.1 MB) with weight 2959002156 (151.54/col)
  182. Sat Aug 20 12:29:53 2022 sparse part has weight 2349004068 (120.30/col)
  183. Sat Aug 20 12:34:18 2022 filtering completed in 2 passes
  184. Sat Aug 20 12:34:24 2022 matrix is 19525173 x 19525349 (9780.0 MB) with weight 2958972410 (151.55/col)
  185. Sat Aug 20 12:34:24 2022 sparse part has weight 2348995557 (120.30/col)
  186. Sat Aug 20 12:35:22 2022 matrix starts at (0, 0)
  187. Sat Aug 20 12:35:25 2022 matrix is 19525173 x 19525349 (9780.0 MB) with weight 2958972410 (151.55/col)
  188. Sat Aug 20 12:35:25 2022 sparse part has weight 2348995557 (120.30/col)
  189. Sat Aug 20 12:35:25 2022 saving the first 240 matrix rows for later
  190. Sat Aug 20 12:35:30 2022 matrix includes 256 packed rows
  191. Sat Aug 20 12:35:38 2022 matrix is 19524933 x 19525349 (8889.3 MB) with weight 2142172895 (109.71/col)
  192. Sat Aug 20 12:35:38 2022 sparse part has weight 2017878331 (103.35/col)
  193. Sat Aug 20 12:35:38 2022 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  194. Sat Aug 20 12:36:36 2022 commencing Lanczos iteration
  195. Sat Aug 20 12:36:36 2022 memory use: 12020.6 MB
  196. Sat Aug 20 12:41:41 2022 lanczos halted after 5 iterations (dim = 1275)
  197. Sat Aug 20 12:41:44 2022 BLanczosTime: 2475
  198. Sat Aug 20 12:41:44 2022 elapsed time 00:41:15
  199. Sat Aug 20 15:45:50 2022
  200. Sat Aug 20 15:45:50 2022
  201. Sat Aug 20 15:45:50 2022 Msieve v. 1.54 (SVN Unversioned directory)
  202. Sat Aug 20 15:45:50 2022 random seeds: 6770c128 7ebf4d0e
  203. Sat Aug 20 15:45:50 2022 factoring 3443671211875592673692410405878773741590128830637420629071903338802101552170315523638510310711142179327881242898400825308153469780588367727373519589991041267518970815116866106440572589 (184 digits)
  204. Sat Aug 20 15:45:51 2022 searching for 15-digit factors
  205. Sat Aug 20 15:45:51 2022 commencing number field sieve (184-digit input)
  206. Sat Aug 20 15:45:51 2022 R0: -250478543763798807115283741750404037
  207. Sat Aug 20 15:45:51 2022 R1: 24096991062348010806961
  208. Sat Aug 20 15:45:51 2022 A0: -166073624299973756029181204680717636447622880
  209. Sat Aug 20 15:45:51 2022 A1: 12672586061064920164358430844686067472
  210. Sat Aug 20 15:45:51 2022 A2: 349011108967340959348153651598
  211. Sat Aug 20 15:45:51 2022 A3: -14788811629198192142371
  212. Sat Aug 20 15:45:51 2022 A4: 439757720590086
  213. Sat Aug 20 15:45:51 2022 A5: 3492720
  214. Sat Aug 20 15:45:51 2022 skew 45005263.17, size 5.013e-018, alpha -7.524, combined = 4.648e-014 rroots = 3
  215. Sat Aug 20 15:45:51 2022
  216. Sat Aug 20 15:45:51 2022 commencing linear algebra
  217. Sat Aug 20 15:45:57 2022 matrix starts at (0, 0)
  218. Sat Aug 20 15:46:01 2022 matrix is 19525173 x 19525349 (9780.0 MB) with weight 2958972410 (151.55/col)
  219. Sat Aug 20 15:46:01 2022 sparse part has weight 2348995557 (120.30/col)
  220. Sat Aug 20 15:46:01 2022 saving the first 240 matrix rows for later
  221. Sat Aug 20 15:46:05 2022 matrix includes 256 packed rows
  222. Sat Aug 20 15:46:10 2022 matrix is 19524933 x 19525349 (8889.3 MB) with weight 2142172895 (109.71/col)
  223. Sat Aug 20 15:46:10 2022 sparse part has weight 2017878331 (103.35/col)
  224. Sat Aug 20 15:46:10 2022 using block size 8192 and superblock size 393216 for processor cache size 16384 kB
  225. Sat Aug 20 15:46:56 2022 commencing Lanczos iteration (8 threads)
  226. Sat Aug 20 15:46:56 2022 memory use: 12021.3 MB
  227. Sat Aug 20 15:47:00 2022 restarting at iteration 5 (dim = 1275)
  228. Sat Aug 20 15:47:56 2022 linear algebra at 0.0%, ETA 198h 5m
  229. Sat Aug 20 15:48:41 2022 checkpointing every 110000 dimensions
  230. Sun Aug 28 11:43:09 2022 lanczos halted after 76500 iterations (dim = 19524933)
  231. Sun Aug 28 11:44:29 2022 recovered 31 nontrivial dependencies
  232. Sun Aug 28 11:44:39 2022 BLanczosTime: 676728
  233. Sun Aug 28 11:44:39 2022 elapsed time 187:58:49
  234. Sun Aug 28 12:52:30 2022
  235. Sun Aug 28 12:52:30 2022
  236. Sun Aug 28 12:52:30 2022 Msieve v. 1.54 (SVN Unversioned directory)
  237. Sun Aug 28 12:52:30 2022 random seeds: 8afc7a10 69ab104f
  238. Sun Aug 28 12:52:30 2022 factoring 3443671211875592673692410405878773741590128830637420629071903338802101552170315523638510310711142179327881242898400825308153469780588367727373519589991041267518970815116866106440572589 (184 digits)
  239. Sun Aug 28 12:52:31 2022 searching for 15-digit factors
  240. Sun Aug 28 12:52:31 2022 commencing number field sieve (184-digit input)
  241. Sun Aug 28 12:52:31 2022 R0: -250478543763798807115283741750404037
  242. Sun Aug 28 12:52:31 2022 R1: 24096991062348010806961
  243. Sun Aug 28 12:52:31 2022 A0: -166073624299973756029181204680717636447622880
  244. Sun Aug 28 12:52:31 2022 A1: 12672586061064920164358430844686067472
  245. Sun Aug 28 12:52:31 2022 A2: 349011108967340959348153651598
  246. Sun Aug 28 12:52:31 2022 A3: -14788811629198192142371
  247. Sun Aug 28 12:52:31 2022 A4: 439757720590086
  248. Sun Aug 28 12:52:31 2022 A5: 3492720
  249. Sun Aug 28 12:52:31 2022 skew 45005263.17, size 5.013e-018, alpha -7.524, combined = 4.648e-014 rroots = 3
  250. Sun Aug 28 12:52:31 2022
  251. Sun Aug 28 12:52:31 2022 commencing square root phase
  252. Sun Aug 28 12:52:31 2022 reading relations for dependency 1
  253. Sun Aug 28 12:52:33 2022 read 9762472 cycles
  254. Sun Aug 28 12:52:49 2022 cycles contain 34477794 unique relations
  255. Sun Aug 28 12:57:28 2022 read 34477794 relations
  256. Sun Aug 28 12:59:31 2022 multiplying 34477794 relations
  257. Sun Aug 28 13:29:19 2022 multiply complete, coefficients have about 2118.38 million bits
  258. Sun Aug 28 13:29:27 2022 initial square root is modulo 56417
  259. Sun Aug 28 18:02:05 2022 sqrtTime: 18574
  260. Sun Aug 28 18:02:05 2022 p81 factor: 938808800493445040180554946457538371123424191475708832409217804801805474406851201
  261. Sun Aug 28 18:02:05 2022 p103 factor: 3668128387873625507079476702733317029960276274370381430848358396012099893648887591948363853962714975789
  262. Sun Aug 28 18:02:05 2022 elapsed time 05:09:35
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