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f45_151p1.log

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Oct 16th, 2020
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  1. Tue Oct 13 17:16:59 2020
  2. Tue Oct 13 17:16:59 2020 Msieve v. 1.54 (SVN 1030)
  3. Tue Oct 13 17:16:59 2020 random seeds: e4bb1df0 0665ce01
  4. Tue Oct 13 17:16:59 2020 factoring 93827846437802973854573176480124976379315282365652051468061831477010695511674981968561449188381258588996969741356196004419606765233147249029453619721890132499459126383927106222262163829920734768729699703114955917010212137147786763861127521680748981 (248 digits)
  5. Tue Oct 13 17:17:00 2020 no P-1/P+1/ECM available, skipping
  6. Tue Oct 13 17:17:00 2020 commencing number field sieve (248-digit input)
  7. Tue Oct 13 17:17:00 2020 R0: 213950272706703123083784878253936767578125
  8. Tue Oct 13 17:17:00 2020 R1: 1
  9. Tue Oct 13 17:17:00 2020 A0: 1
  10. Tue Oct 13 17:17:00 2020 A1: 0
  11. Tue Oct 13 17:17:00 2020 A2: 0
  12. Tue Oct 13 17:17:00 2020 A3: 0
  13. Tue Oct 13 17:17:00 2020 A4: 0
  14. Tue Oct 13 17:17:00 2020 A5: 0
  15. Tue Oct 13 17:17:00 2020 A6: 45
  16. Tue Oct 13 17:17:00 2020 skew 0.53, size 2.214e-12, alpha 1.366, combined = 2.123e-13 rroots = 0
  17. Tue Oct 13 17:17:00 2020
  18. Tue Oct 13 17:17:00 2020 commencing relation filtering
  19. Tue Oct 13 17:17:00 2020 setting target matrix density to 120.0
  20. Tue Oct 13 17:17:00 2020 estimated available RAM is 16021.5 MB
  21. Tue Oct 13 17:17:00 2020 commencing duplicate removal, pass 1
  22. [ . . . skipped 3615 error -n reading relation nnn messages . . . ]
  23. [ 2494 error -1 ]
  24. [ 1 error -2 ]
  25. [ 22 error -5 ]
  26. [ 78 error -6 ]
  27. [ 30 error -9 ]
  28. [ 969 error -11 ]
  29. [ 21 error -15 ]
  30. Tue Oct 13 17:47:30 2020 skipped 1390 relations with b > 2^32
  31. Tue Oct 13 17:47:30 2020 skipped 510 relations with composite factors
  32. Tue Oct 13 17:47:30 2020 found 9187197 hash collisions in 204999353 relations
  33. Tue Oct 13 17:47:46 2020 added 1218728 free relations
  34. Tue Oct 13 17:47:46 2020 commencing duplicate removal, pass 2
  35. Tue Oct 13 17:49:19 2020 found 0 duplicates and 206218081 unique relations
  36. Tue Oct 13 17:49:19 2020 memory use: 522.4 MB
  37. Tue Oct 13 17:49:19 2020 reading ideals above 149880832
  38. Tue Oct 13 17:49:19 2020 commencing singleton removal, initial pass
  39. Tue Oct 13 18:13:47 2020 memory use: 3012.0 MB
  40. Tue Oct 13 18:13:48 2020 reading all ideals from disk
  41. Tue Oct 13 18:13:51 2020 memory use: 3487.1 MB
  42. Tue Oct 13 18:14:03 2020 commencing in-memory singleton removal
  43. Tue Oct 13 18:14:14 2020 begin with 206218081 relations and 162107357 unique ideals
  44. Tue Oct 13 18:17:26 2020 reduce to 142840749 relations and 92973131 ideals in 15 passes
  45. Tue Oct 13 18:17:26 2020 max relations containing the same ideal: 53
  46. Tue Oct 13 18:17:37 2020 reading ideals above 720000
  47. Tue Oct 13 18:17:37 2020 commencing singleton removal, initial pass
  48. Tue Oct 13 18:42:26 2020 memory use: 3012.0 MB
  49. Tue Oct 13 18:42:26 2020 reading all ideals from disk
  50. Tue Oct 13 18:42:33 2020 memory use: 5770.9 MB
  51. Tue Oct 13 18:42:54 2020 keeping 109080253 ideals with weight <= 200, target excess is 767113
  52. Tue Oct 13 18:43:23 2020 commencing in-memory singleton removal
  53. Tue Oct 13 18:43:40 2020 begin with 142840750 relations and 109080253 unique ideals
  54. Tue Oct 13 18:46:32 2020 reduce to 142838148 relations and 109077651 ideals in 7 passes
  55. Tue Oct 13 18:46:32 2020 max relations containing the same ideal: 200
  56. Tue Oct 13 18:48:05 2020 removing 10070121 relations and 8070121 ideals in 2000000 cliques
  57. Tue Oct 13 18:48:09 2020 commencing in-memory singleton removal
  58. Tue Oct 13 18:48:19 2020 begin with 132768027 relations and 109077651 unique ideals
  59. Tue Oct 13 18:51:07 2020 reduce to 132249102 relations and 100479457 ideals in 8 passes
  60. Tue Oct 13 18:51:07 2020 max relations containing the same ideal: 197
  61. Tue Oct 13 18:52:40 2020 removing 7679026 relations and 5679026 ideals in 2000000 cliques
  62. Tue Oct 13 18:52:44 2020 commencing in-memory singleton removal
  63. Tue Oct 13 18:52:58 2020 begin with 124570076 relations and 100479457 unique ideals
  64. Tue Oct 13 18:55:48 2020 reduce to 124219827 relations and 94444944 ideals in 8 passes
  65. Tue Oct 13 18:55:48 2020 max relations containing the same ideal: 192
  66. Tue Oct 13 18:57:16 2020 removing 6984907 relations and 4984907 ideals in 2000000 cliques
  67. Tue Oct 13 18:57:19 2020 commencing in-memory singleton removal
  68. Tue Oct 13 18:57:32 2020 begin with 117234920 relations and 94444944 unique ideals
  69. Tue Oct 13 19:00:11 2020 reduce to 116928624 relations and 89148994 ideals in 8 passes
  70. Tue Oct 13 19:00:11 2020 max relations containing the same ideal: 186
  71. Tue Oct 13 19:01:16 2020 removing 6626714 relations and 4626714 ideals in 2000000 cliques
  72. Tue Oct 13 19:01:19 2020 commencing in-memory singleton removal
  73. Tue Oct 13 19:01:27 2020 begin with 110301910 relations and 89148994 unique ideals
  74. Tue Oct 13 19:03:21 2020 reduce to 110018135 relations and 84234143 ideals in 7 passes
  75. Tue Oct 13 19:03:21 2020 max relations containing the same ideal: 179
  76. Tue Oct 13 19:04:39 2020 removing 6400102 relations and 4400102 ideals in 2000000 cliques
  77. Tue Oct 13 19:04:43 2020 commencing in-memory singleton removal
  78. Tue Oct 13 19:04:54 2020 begin with 103618033 relations and 84234143 unique ideals
  79. Tue Oct 13 19:06:55 2020 reduce to 103345312 relations and 79556903 ideals in 7 passes
  80. Tue Oct 13 19:06:55 2020 max relations containing the same ideal: 172
  81. Tue Oct 13 19:08:09 2020 removing 6246928 relations and 4246928 ideals in 2000000 cliques
  82. Tue Oct 13 19:08:12 2020 commencing in-memory singleton removal
  83. Tue Oct 13 19:08:22 2020 begin with 97098384 relations and 79556903 unique ideals
  84. Tue Oct 13 19:09:59 2020 reduce to 96830304 relations and 75037182 ideals in 6 passes
  85. Tue Oct 13 19:09:59 2020 max relations containing the same ideal: 166
  86. Tue Oct 13 19:11:08 2020 removing 6134391 relations and 4134391 ideals in 2000000 cliques
  87. Tue Oct 13 19:11:11 2020 commencing in-memory singleton removal
  88. Tue Oct 13 19:11:22 2020 begin with 90695913 relations and 75037182 unique ideals
  89. Tue Oct 13 19:13:06 2020 reduce to 90427824 relations and 70629697 ideals in 7 passes
  90. Tue Oct 13 19:13:06 2020 max relations containing the same ideal: 157
  91. Tue Oct 13 19:14:10 2020 removing 6045959 relations and 4045959 ideals in 2000000 cliques
  92. Tue Oct 13 19:14:13 2020 commencing in-memory singleton removal
  93. Tue Oct 13 19:14:20 2020 begin with 84381865 relations and 70629697 unique ideals
  94. Tue Oct 13 19:15:03 2020 reduce to 84108861 relations and 66305429 ideals in 6 passes
  95. Tue Oct 13 19:15:03 2020 max relations containing the same ideal: 149
  96. Tue Oct 13 19:16:04 2020 removing 5987310 relations and 3987310 ideals in 2000000 cliques
  97. Tue Oct 13 19:16:06 2020 commencing in-memory singleton removal
  98. Tue Oct 13 19:16:15 2020 begin with 78121551 relations and 66305429 unique ideals
  99. Tue Oct 13 19:17:32 2020 reduce to 77840854 relations and 62031604 ideals in 6 passes
  100. Tue Oct 13 19:17:32 2020 max relations containing the same ideal: 141
  101. Tue Oct 13 19:18:28 2020 removing 5943292 relations and 3943292 ideals in 2000000 cliques
  102. Tue Oct 13 19:18:31 2020 commencing in-memory singleton removal
  103. Tue Oct 13 19:18:39 2020 begin with 71897562 relations and 62031604 unique ideals
  104. Tue Oct 13 19:19:49 2020 reduce to 71605562 relations and 57789633 ideals in 6 passes
  105. Tue Oct 13 19:19:49 2020 max relations containing the same ideal: 134
  106. Tue Oct 13 19:20:41 2020 removing 5911840 relations and 3911840 ideals in 2000000 cliques
  107. Tue Oct 13 19:20:44 2020 commencing in-memory singleton removal
  108. Tue Oct 13 19:20:51 2020 begin with 65693722 relations and 57789633 unique ideals
  109. Tue Oct 13 19:21:55 2020 reduce to 65384800 relations and 53561444 ideals in 6 passes
  110. Tue Oct 13 19:21:55 2020 max relations containing the same ideal: 125
  111. Tue Oct 13 19:22:43 2020 removing 5890933 relations and 3890933 ideals in 2000000 cliques
  112. Tue Oct 13 19:22:46 2020 commencing in-memory singleton removal
  113. Tue Oct 13 19:22:52 2020 begin with 59493867 relations and 53561444 unique ideals
  114. Tue Oct 13 19:23:49 2020 reduce to 59164901 relations and 49332810 ideals in 6 passes
  115. Tue Oct 13 19:23:49 2020 max relations containing the same ideal: 118
  116. Tue Oct 13 19:24:33 2020 removing 5883735 relations and 3883735 ideals in 2000000 cliques
  117. Tue Oct 13 19:24:35 2020 commencing in-memory singleton removal
  118. Tue Oct 13 19:24:41 2020 begin with 53281166 relations and 49332810 unique ideals
  119. Tue Oct 13 19:25:31 2020 reduce to 52926851 relations and 45084702 ideals in 6 passes
  120. Tue Oct 13 19:25:31 2020 max relations containing the same ideal: 109
  121. Tue Oct 13 19:26:10 2020 removing 5880777 relations and 3880777 ideals in 2000000 cliques
  122. Tue Oct 13 19:26:12 2020 commencing in-memory singleton removal
  123. Tue Oct 13 19:26:17 2020 begin with 47046074 relations and 45084702 unique ideals
  124. Tue Oct 13 19:27:07 2020 reduce to 46656009 relations and 40801520 ideals in 7 passes
  125. Tue Oct 13 19:27:07 2020 max relations containing the same ideal: 100
  126. Tue Oct 13 19:27:33 2020 removing 5885646 relations and 3885646 ideals in 2000000 cliques
  127. Tue Oct 13 19:27:34 2020 commencing in-memory singleton removal
  128. Tue Oct 13 19:27:37 2020 begin with 40770363 relations and 40801520 unique ideals
  129. Tue Oct 13 19:28:03 2020 reduce to 40331647 relations and 36461696 ideals in 7 passes
  130. Tue Oct 13 19:28:03 2020 max relations containing the same ideal: 92
  131. Tue Oct 13 19:28:33 2020 removing 5903847 relations and 3903848 ideals in 2000000 cliques
  132. Tue Oct 13 19:28:35 2020 commencing in-memory singleton removal
  133. Tue Oct 13 19:28:39 2020 begin with 34427800 relations and 36461696 unique ideals
  134. Tue Oct 13 19:29:16 2020 reduce to 33913581 relations and 32022770 ideals in 7 passes
  135. Tue Oct 13 19:29:16 2020 max relations containing the same ideal: 82
  136. Tue Oct 13 19:29:41 2020 removing 3341490 relations and 2340531 ideals in 1000959 cliques
  137. Tue Oct 13 19:29:43 2020 commencing in-memory singleton removal
  138. Tue Oct 13 19:29:46 2020 begin with 30572091 relations and 32022770 unique ideals
  139. Tue Oct 13 19:30:19 2020 reduce to 30355076 relations and 29459633 ideals in 7 passes
  140. Tue Oct 13 19:30:19 2020 max relations containing the same ideal: 77
  141. Tue Oct 13 19:30:48 2020 relations with 0 large ideals: 28970
  142. Tue Oct 13 19:30:48 2020 relations with 1 large ideals: 10306
  143. Tue Oct 13 19:30:48 2020 relations with 2 large ideals: 123802
  144. Tue Oct 13 19:30:48 2020 relations with 3 large ideals: 820451
  145. Tue Oct 13 19:30:48 2020 relations with 4 large ideals: 2907053
  146. Tue Oct 13 19:30:48 2020 relations with 5 large ideals: 6116228
  147. Tue Oct 13 19:30:48 2020 relations with 6 large ideals: 8040202
  148. Tue Oct 13 19:30:48 2020 relations with 7+ large ideals: 12308064
  149. Tue Oct 13 19:30:48 2020 commencing 2-way merge
  150. Tue Oct 13 19:31:18 2020 reduce to 20613189 relation sets and 19717746 unique ideals
  151. Tue Oct 13 19:31:18 2020 commencing full merge
  152. Tue Oct 13 19:44:09 2020 memory use: 2750.6 MB
  153. Tue Oct 13 19:44:12 2020 found 9565895 cycles, need 9485946
  154. Tue Oct 13 19:44:16 2020 weight of 9485946 cycles is about 1138445915 (120.01/cycle)
  155. Tue Oct 13 19:44:16 2020 distribution of cycle lengths:
  156. Tue Oct 13 19:44:16 2020 1 relations: 278012
  157. Tue Oct 13 19:44:16 2020 2 relations: 504040
  158. Tue Oct 13 19:44:16 2020 3 relations: 650836
  159. Tue Oct 13 19:44:16 2020 4 relations: 708838
  160. Tue Oct 13 19:44:16 2020 5 relations: 750293
  161. Tue Oct 13 19:44:16 2020 6 relations: 763215
  162. Tue Oct 13 19:44:16 2020 7 relations: 754312
  163. Tue Oct 13 19:44:16 2020 8 relations: 722887
  164. Tue Oct 13 19:44:16 2020 9 relations: 675343
  165. Tue Oct 13 19:44:16 2020 10+ relations: 3678170
  166. Tue Oct 13 19:44:16 2020 heaviest cycle: 28 relations
  167. Tue Oct 13 19:44:20 2020 commencing cycle optimization
  168. Tue Oct 13 19:44:50 2020 start with 82524178 relations
  169. Tue Oct 13 19:49:55 2020 pruned 4221691 relations
  170. Tue Oct 13 19:49:55 2020 memory use: 2118.9 MB
  171. Tue Oct 13 19:49:55 2020 distribution of cycle lengths:
  172. Tue Oct 13 19:49:55 2020 1 relations: 278012
  173. Tue Oct 13 19:49:55 2020 2 relations: 517606
  174. Tue Oct 13 19:49:55 2020 3 relations: 681211
  175. Tue Oct 13 19:49:55 2020 4 relations: 742337
  176. Tue Oct 13 19:49:55 2020 5 relations: 794949
  177. Tue Oct 13 19:49:55 2020 6 relations: 808634
  178. Tue Oct 13 19:49:55 2020 7 relations: 802259
  179. Tue Oct 13 19:49:55 2020 8 relations: 765385
  180. Tue Oct 13 19:49:55 2020 9 relations: 712956
  181. Tue Oct 13 19:49:55 2020 10+ relations: 3382597
  182. Tue Oct 13 19:49:55 2020 heaviest cycle: 28 relations
  183. Tue Oct 13 19:50:15 2020 RelProcTime: 9195
  184. Tue Oct 13 19:50:15 2020 elapsed time 02:33:16
  185. Tue Oct 13 20:04:56 2020
  186. Tue Oct 13 20:04:56 2020
  187. Tue Oct 13 20:04:56 2020 Msieve v. 1.54 (SVN 1030)
  188. Tue Oct 13 20:04:56 2020 random seeds: e33f2995 0963b8a4
  189. Tue Oct 13 20:04:56 2020 factoring 93827846437802973854573176480124976379315282365652051468061831477010695511674981968561449188381258588996969741356196004419606765233147249029453619721890132499459126383927106222262163829920734768729699703114955917010212137147786763861127521680748981 (248 digits)
  190. Tue Oct 13 20:04:57 2020 no P-1/P+1/ECM available, skipping
  191. Tue Oct 13 20:04:57 2020 commencing number field sieve (248-digit input)
  192. Tue Oct 13 20:04:57 2020 R0: 213950272706703123083784878253936767578125
  193. Tue Oct 13 20:04:57 2020 R1: 1
  194. Tue Oct 13 20:04:57 2020 A0: 1
  195. Tue Oct 13 20:04:57 2020 A1: 0
  196. Tue Oct 13 20:04:57 2020 A2: 0
  197. Tue Oct 13 20:04:57 2020 A3: 0
  198. Tue Oct 13 20:04:57 2020 A4: 0
  199. Tue Oct 13 20:04:57 2020 A5: 0
  200. Tue Oct 13 20:04:57 2020 A6: 45
  201. Tue Oct 13 20:04:57 2020 skew 0.53, size 2.214e-12, alpha 1.366, combined = 2.123e-13 rroots = 0
  202. Tue Oct 13 20:04:57 2020
  203. Tue Oct 13 20:04:57 2020 commencing linear algebra
  204. Tue Oct 13 20:04:58 2020 read 9485946 cycles
  205. Tue Oct 13 20:05:13 2020 cycles contain 29931478 unique relations
  206. Tue Oct 13 20:07:24 2020 read 29931478 relations
  207. Tue Oct 13 20:08:32 2020 using 20 quadratic characters above 4294917295
  208. Tue Oct 13 20:10:20 2020 building initial matrix
  209. Tue Oct 13 20:15:57 2020 memory use: 3831.1 MB
  210. Tue Oct 13 20:16:01 2020 read 9485946 cycles
  211. Tue Oct 13 20:16:02 2020 matrix is 9485768 x 9485946 (4430.4 MB) with weight 1274755252 (134.38/col)
  212. Tue Oct 13 20:16:02 2020 sparse part has weight 1057068293 (111.44/col)
  213. Tue Oct 13 20:17:35 2020 filtering completed in 2 passes
  214. Tue Oct 13 20:17:37 2020 matrix is 9485612 x 9485790 (4430.4 MB) with weight 1274749286 (134.39/col)
  215. Tue Oct 13 20:17:37 2020 sparse part has weight 1057065968 (111.44/col)
  216. Tue Oct 13 20:18:14 2020 matrix starts at (0, 0)
  217. Tue Oct 13 20:18:15 2020 matrix is 9485612 x 9485790 (4430.4 MB) with weight 1274749286 (134.39/col)
  218. Tue Oct 13 20:18:15 2020 sparse part has weight 1057065968 (111.44/col)
  219. Tue Oct 13 20:18:15 2020 saving the first 48 matrix rows for later
  220. Tue Oct 13 20:18:17 2020 matrix includes 64 packed rows
  221. Tue Oct 13 20:18:18 2020 matrix is 9485564 x 9485790 (4259.4 MB) with weight 1099883188 (115.95/col)
  222. Tue Oct 13 20:18:18 2020 sparse part has weight 1021715755 (107.71/col)
  223. Tue Oct 13 20:18:18 2020 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  224. Tue Oct 13 20:18:48 2020 commencing Lanczos iteration (12 threads)
  225. Tue Oct 13 20:18:48 2020 memory use: 4075.9 MB
  226. Tue Oct 13 20:19:26 2020 linear algebra at 0.0%, ETA 62h36m
  227. Tue Oct 13 20:19:38 2020 checkpointing every 160000 dimensions
  228. Fri Oct 16 11:17:30 2020 lanczos halted after 149997 iterations (dim = 9485564)
  229. Fri Oct 16 11:17:38 2020 recovered 38 nontrivial dependencies
  230. Fri Oct 16 11:17:38 2020 BLanczosTime: 227561
  231. Fri Oct 16 11:17:38 2020 elapsed time 63:12:42
  232. Fri Oct 16 11:17:38 2020
  233. Fri Oct 16 11:17:38 2020
  234. Fri Oct 16 11:17:38 2020 Msieve v. 1.54 (SVN 1030)
  235. Fri Oct 16 11:17:38 2020 random seeds: d3c6284d 948466d0
  236. Fri Oct 16 11:17:38 2020 factoring 93827846437802973854573176480124976379315282365652051468061831477010695511674981968561449188381258588996969741356196004419606765233147249029453619721890132499459126383927106222262163829920734768729699703114955917010212137147786763861127521680748981 (248 digits)
  237. Fri Oct 16 11:17:39 2020 no P-1/P+1/ECM available, skipping
  238. Fri Oct 16 11:17:39 2020 commencing number field sieve (248-digit input)
  239. Fri Oct 16 11:17:39 2020 R0: 213950272706703123083784878253936767578125
  240. Fri Oct 16 11:17:39 2020 R1: 1
  241. Fri Oct 16 11:17:39 2020 A0: 1
  242. Fri Oct 16 11:17:39 2020 A1: 0
  243. Fri Oct 16 11:17:39 2020 A2: 0
  244. Fri Oct 16 11:17:39 2020 A3: 0
  245. Fri Oct 16 11:17:39 2020 A4: 0
  246. Fri Oct 16 11:17:39 2020 A5: 0
  247. Fri Oct 16 11:17:39 2020 A6: 45
  248. Fri Oct 16 11:17:39 2020 skew 0.53, size 2.214e-12, alpha 1.366, combined = 2.123e-13 rroots = 0
  249. Fri Oct 16 11:17:39 2020
  250. Fri Oct 16 11:17:39 2020 commencing square root phase
  251. Fri Oct 16 11:17:39 2020 reading relations for dependency 1
  252. Fri Oct 16 11:17:40 2020 read 4741852 cycles
  253. Fri Oct 16 11:17:48 2020 cycles contain 14962880 unique relations
  254. Fri Oct 16 11:19:01 2020 read 14962880 relations
  255. Fri Oct 16 11:19:59 2020 multiplying 14962880 relations
  256. Fri Oct 16 11:29:32 2020 multiply complete, coefficients have about 463.24 million bits
  257. Fri Oct 16 11:29:35 2020 initial square root is modulo 205150357
  258. Fri Oct 16 11:40:20 2020 sqrtTime: 1361
  259. Fri Oct 16 11:40:20 2020 p95 factor: 31472543189852063608351206619774185000278966152980269366831825030893781824906736840787066198347
  260. Fri Oct 16 11:40:20 2020 p154 factor: 2981260391694580775932710417268166930144843052325242034357827561830240677103684864557972346141873612166884930120810769757003210409841682193109422450721023
  261. Fri Oct 16 11:40:20 2020 elapsed time 00:22:42
  262. *********** Processing f45_151p1.log *************
  263. http://factordb.com/report.php?report=93827846437802973854573176480124976379315282365652051468061831477010695511674981968561449188381258588996969741356196004419606765233147249029453619721890132499459126383927106222262163829920734768729699703114955917010212137147786763861127521680748981%3D31472543189852063608351206619774185000278966152980269366831825030893781824906736840787066198347*2981260391694580775932710417268166930144843052325242034357827561830240677103684864557972346141873612166884930120810769757003210409841682193109422450721023
  264. 1 new factor added to factordb
  265. 1 factor already known by factordb
  266. 1 Thank you for your contribution
  267.  
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