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- Mon Jul 02 01:08:59 2018
- Mon Jul 02 01:08:59 2018
- Mon Jul 02 01:08:59 2018 Msieve v. 1.54 (SVN 1018)
- Mon Jul 02 01:08:59 2018 random seeds: 6d02d6d0 755b8c16
- Mon Jul 02 01:08:59 2018 factoring 2594357408754528840336959976776254616275246107866122821999046266053766159058030850231097893328128352328947096832750386386130266785143101133671784697182867503271185161380822889883416013987993463560795091939357749857883574352801 (226 digits)
- Mon Jul 02 01:09:00 2018 searching for 15-digit factors
- Mon Jul 02 01:09:01 2018 commencing number field sieve (226-digit input)
- Mon Jul 02 01:09:01 2018 R0: 15971003380339100300054651735509963965988864
- Mon Jul 02 01:09:01 2018 R1: -57420825906681085498936641961451
- Mon Jul 02 01:09:01 2018 A0: 1578812
- Mon Jul 02 01:09:01 2018 A1: 0
- Mon Jul 02 01:09:01 2018 A2: 0
- Mon Jul 02 01:09:01 2018 A3: 0
- Mon Jul 02 01:09:01 2018 A4: 0
- Mon Jul 02 01:09:01 2018 A5: 0
- Mon Jul 02 01:09:01 2018 A6: 1
- Mon Jul 02 01:09:01 2018 skew 10.79, size 2.575e-013, alpha 0.857, combined = 4.514e-014 rroots = 0
- Mon Jul 02 01:09:01 2018
- Mon Jul 02 01:09:01 2018 commencing relation filtering
- Mon Jul 02 01:09:01 2018 setting target matrix density to 130.0
- Mon Jul 02 01:09:01 2018 estimated available RAM is 32715.2 MB
- Mon Jul 02 01:09:01 2018 commencing duplicate removal, pass 1
- <errors reading relations>
- Mon Jul 02 02:29:41 2018 skipped 55 relations with b > 2^32
- Mon Jul 02 02:29:41 2018 skipped 2195 relations with composite factors
- Mon Jul 02 02:29:41 2018 found 102890631 hash collisions in 459390538 relations
- Mon Jul 02 02:29:59 2018 added 1218182 free relations
- Mon Jul 02 02:29:59 2018 commencing duplicate removal, pass 2
- Mon Jul 02 02:36:09 2018 found 95084186 duplicates and 365524534 unique relations
- Mon Jul 02 02:36:09 2018 memory use: 2387.0 MB
- Mon Jul 02 02:36:10 2018 reading ideals above 245039104
- Mon Jul 02 02:36:10 2018 commencing singleton removal, initial pass
- Mon Jul 02 03:28:21 2018 memory use: 6024.0 MB
- Mon Jul 02 03:28:22 2018 reading all ideals from disk
- Mon Jul 02 03:28:26 2018 memory use: 6397.9 MB
- Mon Jul 02 03:29:05 2018 commencing in-memory singleton removal
- Mon Jul 02 03:29:42 2018 begin with 365524534 relations and 310382500 unique ideals
- Mon Jul 02 03:36:31 2018 reduce to 231154129 relations and 161789872 ideals in 15 passes
- Mon Jul 02 03:36:31 2018 max relations containing the same ideal: 34
- Mon Jul 02 03:37:07 2018 reading ideals above 720000
- Mon Jul 02 03:37:07 2018 commencing singleton removal, initial pass
- Mon Jul 02 04:21:18 2018 memory use: 5512.0 MB
- Mon Jul 02 04:21:18 2018 reading all ideals from disk
- Mon Jul 02 04:21:25 2018 memory use: 9688.8 MB
- Mon Jul 02 04:22:27 2018 keeping 187400609 ideals with weight <= 200, target excess is 1225957
- Mon Jul 02 04:23:30 2018 commencing in-memory singleton removal
- Mon Jul 02 04:24:20 2018 begin with 231154129 relations and 187400609 unique ideals
- Mon Jul 02 04:28:42 2018 reduce to 231154040 relations and 187400520 ideals in 5 passes
- Mon Jul 02 04:28:42 2018 max relations containing the same ideal: 200
- Mon Jul 02 04:32:15 2018 removing 13266528 relations and 11266528 ideals in 2000000 cliques
- Mon Jul 02 04:32:22 2018 commencing in-memory singleton removal
- Mon Jul 02 04:33:08 2018 begin with 217887512 relations and 187400520 unique ideals
- Mon Jul 02 04:39:41 2018 reduce to 217352400 relations and 175592908 ideals in 8 passes
- Mon Jul 02 04:39:41 2018 max relations containing the same ideal: 199
- Mon Jul 02 04:43:02 2018 removing 9956441 relations and 7956441 ideals in 2000000 cliques
- Mon Jul 02 04:43:07 2018 commencing in-memory singleton removal
- Mon Jul 02 04:43:51 2018 begin with 207395959 relations and 175592908 unique ideals
- Mon Jul 02 04:49:59 2018 reduce to 207055620 relations and 167292840 ideals in 8 passes
- Mon Jul 02 04:49:59 2018 max relations containing the same ideal: 195
- Mon Jul 02 04:53:07 2018 removing 8912864 relations and 6912864 ideals in 2000000 cliques
- Mon Jul 02 04:53:12 2018 commencing in-memory singleton removal
- Mon Jul 02 04:53:54 2018 begin with 198142756 relations and 167292840 unique ideals
- Mon Jul 02 04:59:52 2018 reduce to 197849942 relations and 160084436 ideals in 8 passes
- Mon Jul 02 04:59:52 2018 max relations containing the same ideal: 191
- Mon Jul 02 05:02:54 2018 removing 8342325 relations and 6342325 ideals in 2000000 cliques
- Mon Jul 02 05:02:59 2018 commencing in-memory singleton removal
- Mon Jul 02 05:03:37 2018 begin with 189507617 relations and 160084436 unique ideals
- Mon Jul 02 05:08:34 2018 reduce to 189237098 relations and 153469106 ideals in 7 passes
- Mon Jul 02 05:08:34 2018 max relations containing the same ideal: 185
- Mon Jul 02 05:11:28 2018 removing 7961215 relations and 5961215 ideals in 2000000 cliques
- Mon Jul 02 05:11:33 2018 commencing in-memory singleton removal
- Mon Jul 02 05:12:09 2018 begin with 181275883 relations and 153469106 unique ideals
- Mon Jul 02 05:16:45 2018 reduce to 181019288 relations and 147248870 ideals in 7 passes
- Mon Jul 02 05:16:45 2018 max relations containing the same ideal: 180
- Mon Jul 02 05:19:29 2018 removing 7698766 relations and 5698766 ideals in 2000000 cliques
- Mon Jul 02 05:19:34 2018 commencing in-memory singleton removal
- Mon Jul 02 05:20:10 2018 begin with 173320522 relations and 147248870 unique ideals
- Mon Jul 02 05:24:31 2018 reduce to 173071593 relations and 141298773 ideals in 7 passes
- Mon Jul 02 05:24:31 2018 max relations containing the same ideal: 175
- Mon Jul 02 05:27:07 2018 removing 7502808 relations and 5502808 ideals in 2000000 cliques
- Mon Jul 02 05:27:11 2018 commencing in-memory singleton removal
- Mon Jul 02 05:27:45 2018 begin with 165568785 relations and 141298773 unique ideals
- Mon Jul 02 05:31:55 2018 reduce to 165323857 relations and 135548417 ideals in 7 passes
- Mon Jul 02 05:31:55 2018 max relations containing the same ideal: 171
- Mon Jul 02 05:34:25 2018 removing 7350638 relations and 5350638 ideals in 2000000 cliques
- Mon Jul 02 05:34:30 2018 commencing in-memory singleton removal
- Mon Jul 02 05:35:01 2018 begin with 157973219 relations and 135548417 unique ideals
- Mon Jul 02 05:38:53 2018 reduce to 157729476 relations and 129951398 ideals in 7 passes
- Mon Jul 02 05:38:53 2018 max relations containing the same ideal: 166
- Mon Jul 02 05:41:14 2018 removing 7234278 relations and 5234278 ideals in 2000000 cliques
- Mon Jul 02 05:41:19 2018 commencing in-memory singleton removal
- Mon Jul 02 05:41:49 2018 begin with 150495198 relations and 129951398 unique ideals
- Mon Jul 02 05:44:59 2018 reduce to 150248696 relations and 124467890 ideals in 6 passes
- Mon Jul 02 05:44:59 2018 max relations containing the same ideal: 163
- Mon Jul 02 05:47:11 2018 removing 7139880 relations and 5139880 ideals in 2000000 cliques
- Mon Jul 02 05:47:15 2018 commencing in-memory singleton removal
- Mon Jul 02 05:47:42 2018 begin with 143108816 relations and 124467890 unique ideals
- Mon Jul 02 05:50:38 2018 reduce to 142859682 relations and 119075939 ideals in 6 passes
- Mon Jul 02 05:50:38 2018 max relations containing the same ideal: 158
- Mon Jul 02 05:52:45 2018 removing 7069513 relations and 5069513 ideals in 2000000 cliques
- Mon Jul 02 05:52:49 2018 commencing in-memory singleton removal
- Mon Jul 02 05:53:13 2018 begin with 135790169 relations and 119075939 unique ideals
- Mon Jul 02 05:56:28 2018 reduce to 135538663 relations and 113751790 ideals in 7 passes
- Mon Jul 02 05:56:28 2018 max relations containing the same ideal: 155
- Mon Jul 02 05:58:27 2018 removing 7015182 relations and 5015182 ideals in 2000000 cliques
- Mon Jul 02 05:58:31 2018 commencing in-memory singleton removal
- Mon Jul 02 05:58:53 2018 begin with 128523481 relations and 113751790 unique ideals
- Mon Jul 02 06:01:49 2018 reduce to 128263301 relations and 108473043 ideals in 7 passes
- Mon Jul 02 06:01:49 2018 max relations containing the same ideal: 148
- Mon Jul 02 06:03:41 2018 removing 6970604 relations and 4970604 ideals in 2000000 cliques
- Mon Jul 02 06:03:45 2018 commencing in-memory singleton removal
- Mon Jul 02 06:04:06 2018 begin with 121292697 relations and 108473043 unique ideals
- Mon Jul 02 06:06:46 2018 reduce to 121026541 relations and 103232646 ideals in 7 passes
- Mon Jul 02 06:06:46 2018 max relations containing the same ideal: 139
- Mon Jul 02 06:08:29 2018 removing 6935032 relations and 4935032 ideals in 2000000 cliques
- Mon Jul 02 06:08:32 2018 commencing in-memory singleton removal
- Mon Jul 02 06:08:53 2018 begin with 114091509 relations and 103232646 unique ideals
- Mon Jul 02 06:11:25 2018 reduce to 113815742 relations and 98017885 ideals in 7 passes
- Mon Jul 02 06:11:25 2018 max relations containing the same ideal: 137
- Mon Jul 02 06:13:01 2018 removing 6914942 relations and 4914942 ideals in 2000000 cliques
- Mon Jul 02 06:13:04 2018 commencing in-memory singleton removal
- Mon Jul 02 06:13:23 2018 begin with 106900800 relations and 98017885 unique ideals
- Mon Jul 02 06:15:22 2018 reduce to 106613758 relations and 92811486 ideals in 6 passes
- Mon Jul 02 06:15:22 2018 max relations containing the same ideal: 132
- Mon Jul 02 06:16:53 2018 removing 6898910 relations and 4898910 ideals in 2000000 cliques
- Mon Jul 02 06:16:56 2018 commencing in-memory singleton removal
- Mon Jul 02 06:17:12 2018 begin with 99714848 relations and 92811486 unique ideals
- Mon Jul 02 06:19:14 2018 reduce to 99410811 relations and 87603701 ideals in 7 passes
- Mon Jul 02 06:19:14 2018 max relations containing the same ideal: 122
- Mon Jul 02 06:20:35 2018 removing 6893215 relations and 4893215 ideals in 2000000 cliques
- Mon Jul 02 06:20:38 2018 commencing in-memory singleton removal
- Mon Jul 02 06:20:51 2018 begin with 92517596 relations and 87603701 unique ideals
- Mon Jul 02 06:23:02 2018 reduce to 92196744 relations and 82383988 ideals in 8 passes
- Mon Jul 02 06:23:02 2018 max relations containing the same ideal: 120
- Mon Jul 02 06:24:18 2018 removing 6897046 relations and 4897046 ideals in 2000000 cliques
- Mon Jul 02 06:24:21 2018 commencing in-memory singleton removal
- Mon Jul 02 06:24:34 2018 begin with 85299698 relations and 82383988 unique ideals
- Mon Jul 02 06:26:26 2018 reduce to 84954311 relations and 77135164 ideals in 8 passes
- Mon Jul 02 06:26:26 2018 max relations containing the same ideal: 117
- Mon Jul 02 06:27:34 2018 removing 6910458 relations and 4910458 ideals in 2000000 cliques
- Mon Jul 02 06:27:37 2018 commencing in-memory singleton removal
- Mon Jul 02 06:27:49 2018 begin with 78043853 relations and 77135164 unique ideals
- Mon Jul 02 06:29:34 2018 reduce to 77665768 relations and 71839291 ideals in 8 passes
- Mon Jul 02 06:29:34 2018 max relations containing the same ideal: 110
- Mon Jul 02 06:30:36 2018 removing 6946850 relations and 4946850 ideals in 2000000 cliques
- Mon Jul 02 06:30:39 2018 commencing in-memory singleton removal
- Mon Jul 02 06:30:48 2018 begin with 70718918 relations and 71839291 unique ideals
- Mon Jul 02 06:32:05 2018 reduce to 70300476 relations and 66464939 ideals in 7 passes
- Mon Jul 02 06:32:05 2018 max relations containing the same ideal: 100
- Mon Jul 02 06:32:58 2018 removing 7002879 relations and 5002879 ideals in 2000000 cliques
- Mon Jul 02 06:33:01 2018 commencing in-memory singleton removal
- Mon Jul 02 06:33:09 2018 begin with 63297597 relations and 66464939 unique ideals
- Mon Jul 02 06:34:13 2018 reduce to 62817910 relations and 60970974 ideals in 7 passes
- Mon Jul 02 06:34:13 2018 max relations containing the same ideal: 94
- Mon Jul 02 06:34:59 2018 removing 1992037 relations and 1567212 ideals in 424825 cliques
- Mon Jul 02 06:35:01 2018 commencing in-memory singleton removal
- Mon Jul 02 06:35:08 2018 begin with 60825873 relations and 60970974 unique ideals
- Mon Jul 02 06:36:09 2018 reduce to 60785624 relations and 59363275 ideals in 7 passes
- Mon Jul 02 06:36:09 2018 max relations containing the same ideal: 93
- Mon Jul 02 06:37:04 2018 relations with 0 large ideals: 46981
- Mon Jul 02 06:37:04 2018 relations with 1 large ideals: 18084
- Mon Jul 02 06:37:04 2018 relations with 2 large ideals: 238251
- Mon Jul 02 06:37:04 2018 relations with 3 large ideals: 1563545
- Mon Jul 02 06:37:04 2018 relations with 4 large ideals: 5545984
- Mon Jul 02 06:37:04 2018 relations with 5 large ideals: 11830800
- Mon Jul 02 06:37:04 2018 relations with 6 large ideals: 15909476
- Mon Jul 02 06:37:04 2018 relations with 7+ large ideals: 25632503
- Mon Jul 02 06:37:04 2018 commencing 2-way merge
- Mon Jul 02 06:38:09 2018 reduce to 39716099 relation sets and 38293750 unique ideals
- Mon Jul 02 06:38:09 2018 commencing full merge
- Mon Jul 02 07:06:02 2018 memory use: 5165.0 MB
- Mon Jul 02 07:06:14 2018 found 17798888 cycles, need 17727950
- Mon Jul 02 07:06:16 2018 weight of 17727950 cycles is about 2304708848 (130.00/cycle)
- Mon Jul 02 07:06:16 2018 distribution of cycle lengths:
- Mon Jul 02 07:06:16 2018 1 relations: 734759
- Mon Jul 02 07:06:16 2018 2 relations: 973342
- Mon Jul 02 07:06:16 2018 3 relations: 1141830
- Mon Jul 02 07:06:16 2018 4 relations: 1203220
- Mon Jul 02 07:06:16 2018 5 relations: 1245987
- Mon Jul 02 07:06:16 2018 6 relations: 1255038
- Mon Jul 02 07:06:16 2018 7 relations: 1246971
- Mon Jul 02 07:06:16 2018 8 relations: 1211381
- Mon Jul 02 07:06:16 2018 9 relations: 1153656
- Mon Jul 02 07:06:16 2018 10+ relations: 7561766
- Mon Jul 02 07:06:16 2018 heaviest cycle: 28 relations
- Mon Jul 02 07:07:14 2018 commencing cycle optimization
- Mon Jul 02 07:08:11 2018 start with 163031356 relations
- Mon Jul 02 07:19:55 2018 pruned 7873547 relations
- Mon Jul 02 07:19:56 2018 memory use: 4201.1 MB
- Mon Jul 02 07:19:56 2018 distribution of cycle lengths:
- Mon Jul 02 07:19:56 2018 1 relations: 734759
- Mon Jul 02 07:19:56 2018 2 relations: 997048
- Mon Jul 02 07:19:56 2018 3 relations: 1189606
- Mon Jul 02 07:19:56 2018 4 relations: 1254754
- Mon Jul 02 07:19:56 2018 5 relations: 1310835
- Mon Jul 02 07:19:56 2018 6 relations: 1320350
- Mon Jul 02 07:19:56 2018 7 relations: 1318263
- Mon Jul 02 07:19:56 2018 8 relations: 1275344
- Mon Jul 02 07:19:56 2018 9 relations: 1216346
- Mon Jul 02 07:19:56 2018 10+ relations: 7110645
- Mon Jul 02 07:19:56 2018 heaviest cycle: 28 relations
- Mon Jul 02 07:21:15 2018 RelProcTime: 22334
- Mon Jul 02 07:21:15 2018 elapsed time 06:12:16
- Mon Jul 02 09:21:06 2018
- Mon Jul 02 09:21:06 2018
- Mon Jul 02 09:21:06 2018 Msieve v. 1.54 (SVN 1018)
- Mon Jul 02 09:21:06 2018 random seeds: c5d977e4 7e63c84a
- Mon Jul 02 09:21:06 2018 factoring 2594357408754528840336959976776254616275246107866122821999046266053766159058030850231097893328128352328947096832750386386130266785143101133671784697182867503271185161380822889883416013987993463560795091939357749857883574352801 (226 digits)
- Mon Jul 02 09:21:08 2018 searching for 15-digit factors
- Mon Jul 02 09:21:08 2018 commencing number field sieve (226-digit input)
- Mon Jul 02 09:21:08 2018 R0: 15971003380339100300054651735509963965988864
- Mon Jul 02 09:21:08 2018 R1: -57420825906681085498936641961451
- Mon Jul 02 09:21:08 2018 A0: 1578812
- Mon Jul 02 09:21:08 2018 A1: 0
- Mon Jul 02 09:21:08 2018 A2: 0
- Mon Jul 02 09:21:08 2018 A3: 0
- Mon Jul 02 09:21:08 2018 A4: 0
- Mon Jul 02 09:21:08 2018 A5: 0
- Mon Jul 02 09:21:08 2018 A6: 1
- Mon Jul 02 09:21:08 2018 skew 10.79, size 2.575e-013, alpha 0.857, combined = 4.514e-014 rroots = 0
- Mon Jul 02 09:21:08 2018
- Mon Jul 02 09:21:08 2018 commencing linear algebra
- Mon Jul 02 09:21:14 2018 read 17727950 cycles
- Mon Jul 02 09:22:16 2018 cycles contain 60116862 unique relations
- Mon Jul 02 09:31:06 2018 read 60116862 relations
- Mon Jul 02 09:34:18 2018 using 20 quadratic characters above 4294917295
- Mon Jul 02 09:38:53 2018 building initial matrix
- Mon Jul 02 09:59:00 2018 memory use: 7741.2 MB
- Mon Jul 02 09:59:28 2018 read 17727950 cycles
- Mon Jul 02 09:59:32 2018 matrix is 17727772 x 17727950 (8909.6 MB) with weight 2543252267 (143.46/col)
- Mon Jul 02 09:59:32 2018 sparse part has weight 2140602173 (120.75/col)
- Mon Jul 02 10:06:15 2018 filtering completed in 2 passes
- Mon Jul 02 10:06:19 2018 matrix is 17727613 x 17727791 (8909.6 MB) with weight 2543246158 (143.46/col)
- Mon Jul 02 10:06:19 2018 sparse part has weight 2140599801 (120.75/col)
- Mon Jul 02 10:08:33 2018 matrix starts at (0, 0)
- Mon Jul 02 10:08:37 2018 matrix is 17727613 x 17727791 (8909.6 MB) with weight 2543246158 (143.46/col)
- Mon Jul 02 10:08:37 2018 sparse part has weight 2140599801 (120.75/col)
- Mon Jul 02 10:08:37 2018 saving the first 48 matrix rows for later
- Mon Jul 02 10:08:47 2018 matrix includes 64 packed rows
- Mon Jul 02 10:08:50 2018 matrix is 17727565 x 17727791 (8548.0 MB) with weight 2203774201 (124.31/col)
- Mon Jul 02 10:08:50 2018 sparse part has weight 2063529887 (116.40/col)
- Mon Jul 02 10:08:50 2018 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
- Mon Jul 02 10:11:33 2018 commencing Lanczos iteration (4 threads)
- Mon Jul 02 10:11:33 2018 memory use: 7364.6 MB
- Mon Jul 02 10:15:49 2018 linear algebra at 0.0%, ETA 795h14m
- Mon Jul 02 10:17:14 2018 checkpointing every 30000 dimensions
- Sat Jul 14 18:41:39 2018 lanczos halted after 280349 iterations (dim = 17727563)
- Sat Jul 14 18:41:58 2018 recovered 39 nontrivial dependencies
- Sat Jul 14 18:42:15 2018 BLanczosTime: 1070467
- Sat Jul 14 18:42:15 2018 elapsed time 297:21:09
- Sat Jul 14 18:42:21 2018
- Sat Jul 14 18:42:21 2018
- Sat Jul 14 18:42:21 2018 Msieve v. 1.54 (SVN 1018)
- Sat Jul 14 18:42:21 2018 random seeds: aa959964 f9eb7103
- Sat Jul 14 18:42:21 2018 factoring 2594357408754528840336959976776254616275246107866122821999046266053766159058030850231097893328128352328947096832750386386130266785143101133671784697182867503271185161380822889883416013987993463560795091939357749857883574352801 (226 digits)
- Sat Jul 14 18:42:22 2018 searching for 15-digit factors
- Sat Jul 14 18:42:23 2018 commencing number field sieve (226-digit input)
- Sat Jul 14 18:42:23 2018 R0: 15971003380339100300054651735509963965988864
- Sat Jul 14 18:42:23 2018 R1: -57420825906681085498936641961451
- Sat Jul 14 18:42:23 2018 A0: 1578812
- Sat Jul 14 18:42:23 2018 A1: 0
- Sat Jul 14 18:42:23 2018 A2: 0
- Sat Jul 14 18:42:23 2018 A3: 0
- Sat Jul 14 18:42:23 2018 A4: 0
- Sat Jul 14 18:42:23 2018 A5: 0
- Sat Jul 14 18:42:23 2018 A6: 1
- Sat Jul 14 18:42:23 2018 skew 10.79, size 2.575e-013, alpha 0.857, combined = 4.514e-014 rroots = 0
- Sat Jul 14 18:42:23 2018
- Sat Jul 14 18:42:23 2018 commencing square root phase
- Sat Jul 14 18:42:23 2018 reading relations for dependency 1
- Sat Jul 14 18:42:27 2018 read 8867268 cycles
- Sat Jul 14 18:42:46 2018 cycles contain 30070122 unique relations
- Sat Jul 14 18:47:54 2018 read 30070122 relations
- Sat Jul 14 18:51:47 2018 multiplying 30070122 relations
- Sat Jul 14 19:27:11 2018 multiply complete, coefficients have about 839.45 million bits
- Sat Jul 14 19:27:15 2018 initial square root is modulo 33973591
- Sat Jul 14 20:01:55 2018 sqrtTime: 4772
- Sat Jul 14 20:01:55 2018 p89 factor: 33637468773467021607103386905400811300055448303965980978898473822608672280182825031955849
- Sat Jul 14 20:01:55 2018 p137 factor: 77127010543698762036506994522989037139512335938465052558771020099012083573493087482177343834467330037039042645974968741312834734352213849
- Sat Jul 14 20:01:55 2018 elapsed time 01:19:34
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