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- Sun Oct 05 06:31:20 2025
- Sun Oct 05 06:31:20 2025
- Sun Oct 05 06:31:20 2025 Msieve v. 1.53 (SVN 988)
- Sun Oct 05 06:31:20 2025 random seeds: a8500a58 9cb77616
- Sun Oct 05 06:31:20 2025 factoring 194461404708591848307044156208823223932494637784127163006665069667558617072368190584014755393073407419094141016933895934139706124060544172554725599318350562159977 (162 digits)
- Sun Oct 05 06:31:21 2025 searching for 15-digit factors
- Sun Oct 05 06:31:21 2025 commencing number field sieve (162-digit input)
- Sun Oct 05 06:31:21 2025 R0: -12453749051686193813323765703242
- Sun Oct 05 06:31:21 2025 R1: 118457242790994162133741
- Sun Oct 05 06:31:21 2025 A0: -486715425899528391176727015699539025
- Sun Oct 05 06:31:21 2025 A1: -7889860772636001367846341437590
- Sun Oct 05 06:31:21 2025 A2: -12218709172288314297989847
- Sun Oct 05 06:31:21 2025 A3: 18718114452278544586
- Sun Oct 05 06:31:21 2025 A4: 3472790800476
- Sun Oct 05 06:31:21 2025 A5: 1912680
- Sun Oct 05 06:31:21 2025 skew 1037518.55, size 1.258e-015, alpha -6.736, combined = 1.337e-012 rroots = 3
- Sun Oct 05 06:31:21 2025
- Sun Oct 05 06:31:21 2025 commencing relation filtering
- Sun Oct 05 06:31:21 2025 setting target matrix density to 130.0
- Sun Oct 05 06:31:21 2025 estimated available RAM is 16151.1 MB
- Sun Oct 05 06:31:21 2025 commencing duplicate removal, pass 1
- Sun Oct 05 06:31:30 2025 error -9 reading relation 1256679
- Sun Oct 05 06:31:33 2025 error -15 reading relation 1719116
- Sun Oct 05 06:31:37 2025 error -9 reading relation 2363637
- Sun Oct 05 06:31:59 2025 error -9 reading relation 5691694
- Sun Oct 05 06:32:18 2025 error -5 reading relation 8461209
- Sun Oct 05 06:32:18 2025 error -1 reading relation 8468919
- Sun Oct 05 06:32:19 2025 error -1 reading relation 8642414
- Sun Oct 05 06:32:19 2025 error -15 reading relation 8649736
- Sun Oct 05 06:32:47 2025 error -15 reading relation 12624497
- Sun Oct 05 06:32:48 2025 error -5 reading relation 12773231
- Sun Oct 05 06:33:04 2025 error -15 reading relation 15120709
- Sun Oct 05 06:34:40 2025 error -15 reading relation 28975923
- Sun Oct 05 06:35:47 2025 error -15 reading relation 38534753
- Sun Oct 05 06:35:53 2025 error -9 reading relation 39334807
- Sun Oct 05 06:37:18 2025 error -15 reading relation 51233830
- Sun Oct 05 06:37:21 2025 error -15 reading relation 51573181
- Sun Oct 05 06:37:38 2025 error -5 reading relation 54065196
- Sun Oct 05 06:37:39 2025 error -9 reading relation 54137040
- Sun Oct 05 06:38:02 2025 error -1 reading relation 57402328
- Sun Oct 05 06:38:06 2025 error -15 reading relation 57966417
- Sun Oct 05 06:38:11 2025 error -9 reading relation 58764211
- Sun Oct 05 06:38:25 2025 error -1 reading relation 60741071
- Sun Oct 05 06:38:27 2025 error -9 reading relation 61026393
- Sun Oct 05 06:38:27 2025 error -9 reading relation 61026635
- Sun Oct 05 06:38:58 2025 error -1 reading relation 65366125
- Sun Oct 05 06:39:28 2025 error -15 reading relation 69711016
- Sun Oct 05 06:39:48 2025 error -15 reading relation 72418392
- Sun Oct 05 06:40:18 2025 error -1 reading relation 76638331
- Sun Oct 05 06:40:26 2025 error -15 reading relation 77780321
- Sun Oct 05 06:40:44 2025 error -15 reading relation 80291448
- Sun Oct 05 06:40:52 2025 error -15 reading relation 81377736
- Sun Oct 05 06:41:20 2025 error -15 reading relation 85205040
- Sun Oct 05 06:41:22 2025 error -15 reading relation 85440164
- Sun Oct 05 06:41:26 2025 error -15 reading relation 86057104
- Sun Oct 05 06:41:26 2025 error -15 reading relation 86058193
- Sun Oct 05 06:41:39 2025 error -15 reading relation 87930846
- Sun Oct 05 06:41:41 2025 error -15 reading relation 88101258
- Sun Oct 05 06:41:42 2025 error -1 reading relation 88347747
- Sun Oct 05 06:41:49 2025 error -9 reading relation 89221602
- Sun Oct 05 06:41:55 2025 error -9 reading relation 90035979
- Sun Oct 05 06:42:05 2025 error -15 reading relation 91522625
- Sun Oct 05 06:42:05 2025 error -15 reading relation 91548113
- Sun Oct 05 06:42:15 2025 error -15 reading relation 92827958
- Sun Oct 05 06:42:16 2025 error -15 reading relation 92956452
- Sun Oct 05 06:42:23 2025 error -15 reading relation 94063567
- Sun Oct 05 06:42:27 2025 error -15 reading relation 94536034
- Sun Oct 05 06:42:28 2025 error -1 reading relation 94646754
- Sun Oct 05 06:42:30 2025 error -9 reading relation 94927227
- Sun Oct 05 06:43:20 2025 error -15 reading relation 101973784
- Sun Oct 05 06:43:20 2025 error -15 reading relation 102063003
- Sun Oct 05 06:43:32 2025 error -1 reading relation 103711032
- Sun Oct 05 06:43:40 2025 error -15 reading relation 104909980
- Sun Oct 05 06:43:41 2025 error -15 reading relation 105040621
- Sun Oct 05 06:43:48 2025 error -9 reading relation 106131964
- Sun Oct 05 06:43:49 2025 error -9 reading relation 106147195
- Sun Oct 05 06:43:49 2025 error -15 reading relation 106216617
- Sun Oct 05 06:43:49 2025 error -15 reading relation 106251293
- Sun Oct 05 06:44:04 2025 error -9 reading relation 108341843
- Sun Oct 05 06:44:28 2025 error -15 reading relation 111832295
- Sun Oct 05 06:44:33 2025 error -15 reading relation 112611211
- Sun Oct 05 06:44:33 2025 error -15 reading relation 112643363
- Sun Oct 05 06:44:39 2025 error -9 reading relation 113558314
- Sun Oct 05 06:45:40 2025 error -15 reading relation 122390432
- Sun Oct 05 06:47:18 2025 error -9 reading relation 136404059
- Sun Oct 05 06:47:18 2025 error -15 reading relation 136408248
- Sun Oct 05 06:47:23 2025 error -15 reading relation 137230136
- Sun Oct 05 06:47:24 2025 error -9 reading relation 137312398
- Sun Oct 05 06:47:24 2025 error -9 reading relation 137343998
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137985499
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137985529
- Sun Oct 05 06:47:29 2025 error -11 reading relation 137985621
- Sun Oct 05 06:47:29 2025 error -9 reading relation 137985772
- Sun Oct 05 06:47:29 2025 error -11 reading relation 137985834
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137985893
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137985923
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137985953
- Sun Oct 05 06:47:29 2025 error -9 reading relation 137986014
- Sun Oct 05 06:47:29 2025 error -11 reading relation 137986075
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137986105
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137986135
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137986288
- Sun Oct 05 06:47:29 2025 error -9 reading relation 137986319
- Sun Oct 05 06:47:29 2025 error -9 reading relation 137986380
- Sun Oct 05 06:47:29 2025 error -9 reading relation 137986501
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137986592
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137986622
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137986683
- Sun Oct 05 06:47:29 2025 error -11 reading relation 137986745
- Sun Oct 05 06:47:29 2025 error -1 reading relation 137986776
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137986806
- Sun Oct 05 06:47:29 2025 error -9 reading relation 137986836
- Sun Oct 05 06:47:29 2025 error -11 reading relation 137986867
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137986897
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137986927
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137986989
- Sun Oct 05 06:47:29 2025 error -15 reading relation 137987019
- Sun Oct 05 06:47:29 2025 error -1 reading relation 137987078
- Sun Oct 05 06:47:44 2025 skipped 56 relations with composite factors
- Sun Oct 05 06:47:44 2025 found 25161104 hash collisions in 140249392 relations
- Sun Oct 05 06:48:08 2025 added 122078 free relations
- Sun Oct 05 06:48:08 2025 commencing duplicate removal, pass 2
- Sun Oct 05 06:50:20 2025 found 25497764 duplicates and 114873706 unique relations
- Sun Oct 05 06:50:20 2025 memory use: 788.8 MB
- Sun Oct 05 06:50:20 2025 reading ideals above 92995584
- Sun Oct 05 06:50:20 2025 commencing singleton removal, initial pass
- Sun Oct 05 07:00:25 2025 memory use: 2756.0 MB
- Sun Oct 05 07:00:25 2025 reading all ideals from disk
- Sun Oct 05 07:00:29 2025 memory use: 1861.0 MB
- Sun Oct 05 07:00:35 2025 commencing in-memory singleton removal
- Sun Oct 05 07:00:41 2025 begin with 114873706 relations and 83283196 unique ideals
- Sun Oct 05 07:01:29 2025 reduce to 84917128 relations and 50973583 ideals in 11 passes
- Sun Oct 05 07:01:29 2025 max relations containing the same ideal: 41
- Sun Oct 05 07:01:36 2025 reading ideals above 720000
- Sun Oct 05 07:01:36 2025 commencing singleton removal, initial pass
- Sun Oct 05 07:11:42 2025 memory use: 1506.0 MB
- Sun Oct 05 07:11:42 2025 reading all ideals from disk
- Sun Oct 05 07:11:49 2025 memory use: 3171.6 MB
- Sun Oct 05 07:12:02 2025 keeping 61285881 ideals with weight <= 200, target excess is 450669
- Sun Oct 05 07:12:14 2025 commencing in-memory singleton removal
- Sun Oct 05 07:12:24 2025 begin with 84917128 relations and 61285881 unique ideals
- Sun Oct 05 07:13:24 2025 reduce to 84907649 relations and 61276402 ideals in 7 passes
- Sun Oct 05 07:13:24 2025 max relations containing the same ideal: 200
- Sun Oct 05 07:14:10 2025 removing 7717826 relations and 5717826 ideals in 2000000 cliques
- Sun Oct 05 07:14:12 2025 commencing in-memory singleton removal
- Sun Oct 05 07:14:22 2025 begin with 77189823 relations and 61276402 unique ideals
- Sun Oct 05 07:15:15 2025 reduce to 76635410 relations and 54988194 ideals in 7 passes
- Sun Oct 05 07:15:15 2025 max relations containing the same ideal: 196
- Sun Oct 05 07:15:57 2025 removing 6160819 relations and 4160819 ideals in 2000000 cliques
- Sun Oct 05 07:15:59 2025 commencing in-memory singleton removal
- Sun Oct 05 07:16:08 2025 begin with 70474591 relations and 54988194 unique ideals
- Sun Oct 05 07:16:49 2025 reduce to 70098134 relations and 50441379 ideals in 6 passes
- Sun Oct 05 07:16:49 2025 max relations containing the same ideal: 187
- Sun Oct 05 07:17:28 2025 removing 5751486 relations and 3751486 ideals in 2000000 cliques
- Sun Oct 05 07:17:30 2025 commencing in-memory singleton removal
- Sun Oct 05 07:17:38 2025 begin with 64346648 relations and 50441379 unique ideals
- Sun Oct 05 07:18:22 2025 reduce to 64017792 relations and 46352339 ideals in 7 passes
- Sun Oct 05 07:18:22 2025 max relations containing the same ideal: 177
- Sun Oct 05 07:18:57 2025 removing 5537001 relations and 3537001 ideals in 2000000 cliques
- Sun Oct 05 07:18:59 2025 commencing in-memory singleton removal
- Sun Oct 05 07:19:06 2025 begin with 58480791 relations and 46352339 unique ideals
- Sun Oct 05 07:19:46 2025 reduce to 58170750 relations and 42496747 ideals in 7 passes
- Sun Oct 05 07:19:46 2025 max relations containing the same ideal: 168
- Sun Oct 05 07:20:19 2025 removing 5404551 relations and 3404551 ideals in 2000000 cliques
- Sun Oct 05 07:20:20 2025 commencing in-memory singleton removal
- Sun Oct 05 07:20:27 2025 begin with 52766199 relations and 42496747 unique ideals
- Sun Oct 05 07:20:57 2025 reduce to 52460566 relations and 38777605 ideals in 6 passes
- Sun Oct 05 07:20:57 2025 max relations containing the same ideal: 155
- Sun Oct 05 07:21:27 2025 removing 5311013 relations and 3311013 ideals in 2000000 cliques
- Sun Oct 05 07:21:29 2025 commencing in-memory singleton removal
- Sun Oct 05 07:21:34 2025 begin with 47149553 relations and 38777605 unique ideals
- Sun Oct 05 07:22:02 2025 reduce to 46838583 relations and 35145484 ideals in 6 passes
- Sun Oct 05 07:22:02 2025 max relations containing the same ideal: 145
- Sun Oct 05 07:22:28 2025 removing 5247966 relations and 3247966 ideals in 2000000 cliques
- Sun Oct 05 07:22:30 2025 commencing in-memory singleton removal
- Sun Oct 05 07:22:35 2025 begin with 41590617 relations and 35145484 unique ideals
- Sun Oct 05 07:22:59 2025 reduce to 41264779 relations and 31559951 ideals in 6 passes
- Sun Oct 05 07:22:59 2025 max relations containing the same ideal: 134
- Sun Oct 05 07:23:23 2025 removing 5200209 relations and 3200209 ideals in 2000000 cliques
- Sun Oct 05 07:23:24 2025 commencing in-memory singleton removal
- Sun Oct 05 07:23:29 2025 begin with 36064570 relations and 31559951 unique ideals
- Sun Oct 05 07:23:49 2025 reduce to 35715464 relations and 27996826 ideals in 6 passes
- Sun Oct 05 07:23:49 2025 max relations containing the same ideal: 123
- Sun Oct 05 07:24:10 2025 removing 5166066 relations and 3166066 ideals in 2000000 cliques
- Sun Oct 05 07:24:12 2025 commencing in-memory singleton removal
- Sun Oct 05 07:24:15 2025 begin with 30549398 relations and 27996826 unique ideals
- Sun Oct 05 07:24:34 2025 reduce to 30163859 relations and 24427908 ideals in 7 passes
- Sun Oct 05 07:24:34 2025 max relations containing the same ideal: 111
- Sun Oct 05 07:24:52 2025 removing 5142215 relations and 3142215 ideals in 2000000 cliques
- Sun Oct 05 07:24:54 2025 commencing in-memory singleton removal
- Sun Oct 05 07:24:57 2025 begin with 25021644 relations and 24427908 unique ideals
- Sun Oct 05 07:25:11 2025 reduce to 24577462 relations and 20818320 ideals in 6 passes
- Sun Oct 05 07:25:11 2025 max relations containing the same ideal: 94
- Sun Oct 05 07:25:27 2025 removing 5128299 relations and 3128299 ideals in 2000000 cliques
- Sun Oct 05 07:25:28 2025 commencing in-memory singleton removal
- Sun Oct 05 07:25:30 2025 begin with 19449163 relations and 20818320 unique ideals
- Sun Oct 05 07:25:44 2025 reduce to 18906308 relations and 17112028 ideals in 7 passes
- Sun Oct 05 07:25:44 2025 max relations containing the same ideal: 79
- Sun Oct 05 07:25:56 2025 removing 3474281 relations and 2202778 ideals in 1271503 cliques
- Sun Oct 05 07:25:57 2025 commencing in-memory singleton removal
- Sun Oct 05 07:25:58 2025 begin with 15432027 relations and 17112028 unique ideals
- Sun Oct 05 07:26:09 2025 reduce to 15016110 relations and 14469113 ideals in 7 passes
- Sun Oct 05 07:26:09 2025 max relations containing the same ideal: 66
- Sun Oct 05 07:26:18 2025 removing 131089 relations and 106869 ideals in 24220 cliques
- Sun Oct 05 07:26:19 2025 commencing in-memory singleton removal
- Sun Oct 05 07:26:20 2025 begin with 14885021 relations and 14469113 unique ideals
- Sun Oct 05 07:26:28 2025 reduce to 14884001 relations and 14361222 ideals in 5 passes
- Sun Oct 05 07:26:28 2025 max relations containing the same ideal: 66
- Sun Oct 05 07:26:30 2025 relations with 0 large ideals: 1493
- Sun Oct 05 07:26:30 2025 relations with 1 large ideals: 7968
- Sun Oct 05 07:26:30 2025 relations with 2 large ideals: 111424
- Sun Oct 05 07:26:30 2025 relations with 3 large ideals: 651494
- Sun Oct 05 07:26:30 2025 relations with 4 large ideals: 2005837
- Sun Oct 05 07:26:30 2025 relations with 5 large ideals: 3601209
- Sun Oct 05 07:26:30 2025 relations with 6 large ideals: 4037382
- Sun Oct 05 07:26:30 2025 relations with 7+ large ideals: 4467194
- Sun Oct 05 07:26:30 2025 commencing 2-way merge
- Sun Oct 05 07:26:42 2025 reduce to 10389891 relation sets and 9867112 unique ideals
- Sun Oct 05 07:26:42 2025 commencing full merge
- Sun Oct 05 07:31:33 2025 memory use: 1249.1 MB
- Sun Oct 05 07:31:37 2025 found 4552294 cycles, need 4529312
- Sun Oct 05 07:31:37 2025 weight of 4529312 cycles is about 589275156 (130.10/cycle)
- Sun Oct 05 07:31:37 2025 distribution of cycle lengths:
- Sun Oct 05 07:31:37 2025 1 relations: 79176
- Sun Oct 05 07:31:37 2025 2 relations: 206230
- Sun Oct 05 07:31:37 2025 3 relations: 279399
- Sun Oct 05 07:31:37 2025 4 relations: 314817
- Sun Oct 05 07:31:37 2025 5 relations: 346267
- Sun Oct 05 07:31:37 2025 6 relations: 353646
- Sun Oct 05 07:31:37 2025 7 relations: 354986
- Sun Oct 05 07:31:37 2025 8 relations: 340780
- Sun Oct 05 07:31:37 2025 9 relations: 320532
- Sun Oct 05 07:31:37 2025 10+ relations: 1933479
- Sun Oct 05 07:31:37 2025 heaviest cycle: 28 relations
- Sun Oct 05 07:31:42 2025 commencing cycle optimization
- Sun Oct 05 07:31:51 2025 start with 42476326 relations
- Sun Oct 05 07:34:12 2025 pruned 2538095 relations
- Sun Oct 05 07:34:12 2025 memory use: 1054.9 MB
- Sun Oct 05 07:34:12 2025 distribution of cycle lengths:
- Sun Oct 05 07:34:12 2025 1 relations: 79176
- Sun Oct 05 07:34:12 2025 2 relations: 213316
- Sun Oct 05 07:34:12 2025 3 relations: 294223
- Sun Oct 05 07:34:12 2025 4 relations: 333288
- Sun Oct 05 07:34:12 2025 5 relations: 370046
- Sun Oct 05 07:34:12 2025 6 relations: 379041
- Sun Oct 05 07:34:12 2025 7 relations: 382115
- Sun Oct 05 07:34:12 2025 8 relations: 364451
- Sun Oct 05 07:34:12 2025 9 relations: 340858
- Sun Oct 05 07:34:12 2025 10+ relations: 1772798
- Sun Oct 05 07:34:12 2025 heaviest cycle: 28 relations
- Sun Oct 05 07:34:21 2025 RelProcTime: 3780
- Sun Oct 05 07:34:21 2025
- Sun Oct 05 07:34:21 2025 commencing linear algebra
- Sun Oct 05 07:34:22 2025 read 4529312 cycles
- Sun Oct 05 07:34:33 2025 cycles contain 14652143 unique relations
- Sun Oct 05 07:36:09 2025 read 14652143 relations
- Sun Oct 05 07:36:46 2025 using 20 quadratic characters above 4294917295
- Sun Oct 05 07:37:47 2025 building initial matrix
- Sun Oct 05 07:41:49 2025 memory use: 2025.7 MB
- Sun Oct 05 07:41:53 2025 read 4529312 cycles
- Sun Oct 05 07:41:54 2025 matrix is 4529135 x 4529312 (2239.5 MB) with weight 681885870 (150.55/col)
- Sun Oct 05 07:41:54 2025 sparse part has weight 537245557 (118.62/col)
- Sun Oct 05 07:43:01 2025 filtering completed in 2 passes
- Sun Oct 05 07:43:02 2025 matrix is 4529068 x 4529245 (2239.5 MB) with weight 681882122 (150.55/col)
- Sun Oct 05 07:43:02 2025 sparse part has weight 537244063 (118.62/col)
- Sun Oct 05 07:43:19 2025 matrix starts at (0, 0)
- Sun Oct 05 07:43:20 2025 matrix is 4529068 x 4529245 (2239.5 MB) with weight 681882122 (150.55/col)
- Sun Oct 05 07:43:20 2025 sparse part has weight 537244063 (118.62/col)
- Sun Oct 05 07:43:20 2025 saving the first 48 matrix rows for later
- Sun Oct 05 07:43:22 2025 matrix includes 64 packed rows
- Sun Oct 05 07:43:23 2025 matrix is 4529020 x 4529245 (2182.7 MB) with weight 583849690 (128.91/col)
- Sun Oct 05 07:43:23 2025 sparse part has weight 526878364 (116.33/col)
- Sun Oct 05 07:43:23 2025 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
- Sun Oct 05 07:43:47 2025 commencing Lanczos iteration (6 threads)
- Sun Oct 05 07:43:47 2025 memory use: 1811.6 MB
- Sun Oct 05 07:44:10 2025 linear algebra at 0.0%, ETA 18h14m
- Sun Oct 05 07:44:17 2025 checkpointing every 260000 dimensions
- Mon Oct 06 02:20:22 2025 lanczos halted after 71619 iterations (dim = 4529018)
- Mon Oct 06 02:20:28 2025 recovered 29 nontrivial dependencies
- Mon Oct 06 02:20:29 2025 BLanczosTime: 67568
- Mon Oct 06 02:20:29 2025
- Mon Oct 06 02:20:29 2025 commencing square root phase
- Mon Oct 06 02:20:29 2025 handling dependencies 1 to 64
- Mon Oct 06 02:20:29 2025 reading relations for dependency 1
- Mon Oct 06 02:20:30 2025 read 2265402 cycles
- Mon Oct 06 02:20:36 2025 cycles contain 7324422 unique relations
- Mon Oct 06 02:21:48 2025 read 7324422 relations
- Mon Oct 06 02:22:35 2025 multiplying 7324422 relations
- Mon Oct 06 02:30:01 2025 multiply complete, coefficients have about 414.61 million bits
- Mon Oct 06 02:30:03 2025 initial square root is modulo 27502303
- Mon Oct 06 02:39:02 2025 sqrtTime: 1113
- Mon Oct 06 02:39:02 2025 p58 factor: 9512362381432269713357247954028065986007308455257802267909
- Mon Oct 06 02:39:02 2025 p104 factor: 20443018980035107890028942820455602934128796038353804800541535694404560249053599932309762567486484831253
- Mon Oct 06 02:39:02 2025 elapsed time 20:07:42
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