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- 100 % 440,231,989 Pending 22,210,449
- Found 351076149 unique, 89155375 duplicate, and 6 bad relations.
- Largest dimension used: 1220 of 2100
- Average dimension used: 1071.4 of 2100
- Tue Jun 18 10:32:16 2024 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
- Tue Jun 18 10:32:16 2024 random seeds: d2a97849 74b99e22
- Tue Jun 18 10:32:16 2024 Using 32 OpenMP threads
- Tue Jun 18 10:32:16 2024 factoring 3555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559 (256 digits)
- Tue Jun 18 10:32:18 2024 no P-1/P+1/ECM available, skipping
- Tue Jun 18 10:32:18 2024 commencing number field sieve (256-digit input)
- Tue Jun 18 10:32:18 2024 R0: -2000000000000000000000000000000000000000000
- Tue Jun 18 10:32:18 2024 R1: 1
- Tue Jun 18 10:32:18 2024 A0: 31
- Tue Jun 18 10:32:18 2024 A1: 0
- Tue Jun 18 10:32:18 2024 A2: 0
- Tue Jun 18 10:32:18 2024 A3: 0
- Tue Jun 18 10:32:18 2024 A4: 0
- Tue Jun 18 10:32:18 2024 A5: 0
- Tue Jun 18 10:32:18 2024 A6: 500
- Tue Jun 18 10:32:18 2024 skew 1.00, size 6.247e-13, alpha 0.723, combined = 8.539e-14 rroots = 0
- Tue Jun 18 10:32:18 2024
- Tue Jun 18 10:32:18 2024 commencing relation filtering
- Tue Jun 18 10:32:18 2024 setting target matrix density to 120.0
- Tue Jun 18 10:32:18 2024 estimated available RAM is 1031034.2 MB
- Tue Jun 18 10:32:18 2024 commencing duplicate removal, pass 1
- Tue Jun 18 10:39:58 2024 error -15 reading relation 265082386
- Tue Jun 18 10:42:55 2024 skipped 1727 relations with b > 2^32
- Tue Jun 18 10:42:55 2024 found 17896207 hash collisions in 362826771 relations
- Tue Jun 18 10:43:12 2024 added 1218299 free relations
- Tue Jun 18 10:43:12 2024 commencing duplicate removal, pass 2
- Tue Jun 18 10:50:42 2024 found 4015121 duplicates and 360029949 unique relations
- Tue Jun 18 10:50:42 2024 memory use: 1108.8 MB
- Tue Jun 18 10:50:42 2024 reading ideals above 720000
- Tue Jun 18 10:50:42 2024 commencing singleton removal, initial pass
- Tue Jun 18 11:19:07 2024 memory use: 11024.0 MB
- Tue Jun 18 11:19:08 2024 reading all ideals from disk
- Tue Jun 18 11:19:12 2024 memory use: 17656.5 MB
- Tue Jun 18 11:19:39 2024 keeping 329448890 ideals with weight <= 200, target excess is 1879912
- Tue Jun 18 11:20:12 2024 commencing in-memory singleton removal
- Tue Jun 18 11:20:14 2024 begin with 360029949 relations and 329448890 unique ideals
- Tue Jun 18 11:20:32 2024 reduce to 225842900 relations and 181110923 ideals in 16 passes
- Tue Jun 18 11:20:32 2024 max relations containing the same ideal: 156
- Tue Jun 18 11:21:29 2024 removing 13116919 relations and 11116919 ideals in 2000000 cliques
- Tue Jun 18 11:21:38 2024 commencing in-memory singleton removal
- Tue Jun 18 11:21:39 2024 begin with 212725981 relations and 181110923 unique ideals
- Tue Jun 18 11:21:47 2024 reduce to 212139221 relations and 169400162 ideals in 9 passes
- Tue Jun 18 11:21:47 2024 max relations containing the same ideal: 149
- Tue Jun 18 11:22:41 2024 removing 9865471 relations and 7865471 ideals in 2000000 cliques
- Tue Jun 18 11:22:48 2024 commencing in-memory singleton removal
- Tue Jun 18 11:22:49 2024 begin with 202273750 relations and 169400162 unique ideals
- Tue Jun 18 11:22:56 2024 reduce to 201900085 relations and 161157134 ideals in 8 passes
- Tue Jun 18 11:22:56 2024 max relations containing the same ideal: 145
- Tue Jun 18 11:23:47 2024 removing 8847892 relations and 6847892 ideals in 2000000 cliques
- Tue Jun 18 11:23:55 2024 commencing in-memory singleton removal
- Tue Jun 18 11:23:56 2024 begin with 193052193 relations and 161157134 unique ideals
- Tue Jun 18 11:24:02 2024 reduce to 192729386 relations and 153983292 ideals in 7 passes
- Tue Jun 18 11:24:02 2024 max relations containing the same ideal: 141
- Tue Jun 18 11:24:51 2024 removing 8297898 relations and 6297898 ideals in 2000000 cliques
- Tue Jun 18 11:24:59 2024 commencing in-memory singleton removal
- Tue Jun 18 11:24:59 2024 begin with 184431488 relations and 153983292 unique ideals
- Tue Jun 18 11:25:05 2024 reduce to 184136106 relations and 147387023 ideals in 7 passes
- Tue Jun 18 11:25:05 2024 max relations containing the same ideal: 138
- Tue Jun 18 11:26:00 2024 removing 7936736 relations and 5936736 ideals in 2000000 cliques
- Tue Jun 18 11:26:07 2024 commencing in-memory singleton removal
- Tue Jun 18 11:26:08 2024 begin with 176199370 relations and 147387023 unique ideals
- Tue Jun 18 11:26:13 2024 reduce to 175917217 relations and 141165143 ideals in 7 passes
- Tue Jun 18 11:26:13 2024 max relations containing the same ideal: 133
- Tue Jun 18 11:26:59 2024 removing 7685342 relations and 5685342 ideals in 2000000 cliques
- Tue Jun 18 11:27:05 2024 commencing in-memory singleton removal
- Tue Jun 18 11:27:06 2024 begin with 168231875 relations and 141165143 unique ideals
- Tue Jun 18 11:27:12 2024 reduce to 167958076 relations and 135203061 ideals in 7 passes
- Tue Jun 18 11:27:12 2024 max relations containing the same ideal: 128
- Tue Jun 18 11:27:58 2024 removing 7502568 relations and 5502568 ideals in 2000000 cliques
- Tue Jun 18 11:28:05 2024 commencing in-memory singleton removal
- Tue Jun 18 11:28:05 2024 begin with 160455508 relations and 135203061 unique ideals
- Tue Jun 18 11:28:10 2024 reduce to 160183862 relations and 129425838 ideals in 6 passes
- Tue Jun 18 11:28:10 2024 max relations containing the same ideal: 124
- Tue Jun 18 11:28:55 2024 removing 7364761 relations and 5364761 ideals in 2000000 cliques
- Tue Jun 18 11:29:02 2024 commencing in-memory singleton removal
- Tue Jun 18 11:29:03 2024 begin with 152819101 relations and 129425838 unique ideals
- Tue Jun 18 11:29:08 2024 reduce to 152547010 relations and 123785816 ideals in 8 passes
- Tue Jun 18 11:29:08 2024 max relations containing the same ideal: 123
- Tue Jun 18 11:29:52 2024 removing 7263095 relations and 5263095 ideals in 2000000 cliques
- Tue Jun 18 11:29:58 2024 commencing in-memory singleton removal
- Tue Jun 18 11:29:58 2024 begin with 145283915 relations and 123785816 unique ideals
- Tue Jun 18 11:30:03 2024 reduce to 145009045 relations and 118244509 ideals in 7 passes
- Tue Jun 18 11:30:03 2024 max relations containing the same ideal: 121
- Tue Jun 18 11:30:42 2024 removing 7185007 relations and 5185007 ideals in 2000000 cliques
- Tue Jun 18 11:30:48 2024 commencing in-memory singleton removal
- Tue Jun 18 11:30:49 2024 begin with 137824038 relations and 118244509 unique ideals
- Tue Jun 18 11:30:53 2024 reduce to 137543739 relations and 112775773 ideals in 7 passes
- Tue Jun 18 11:30:53 2024 max relations containing the same ideal: 117
- Tue Jun 18 11:31:38 2024 removing 7125968 relations and 5125968 ideals in 2000000 cliques
- Tue Jun 18 11:31:43 2024 commencing in-memory singleton removal
- Tue Jun 18 11:31:43 2024 begin with 130417771 relations and 112775773 unique ideals
- Tue Jun 18 11:31:48 2024 reduce to 130129388 relations and 107357507 ideals in 9 passes
- Tue Jun 18 11:31:48 2024 max relations containing the same ideal: 110
- Tue Jun 18 11:32:23 2024 removing 7079409 relations and 5079409 ideals in 2000000 cliques
- Tue Jun 18 11:32:28 2024 commencing in-memory singleton removal
- Tue Jun 18 11:32:29 2024 begin with 123049979 relations and 107357507 unique ideals
- Tue Jun 18 11:32:32 2024 reduce to 122752090 relations and 101976082 ideals in 7 passes
- Tue Jun 18 11:32:32 2024 max relations containing the same ideal: 105
- Tue Jun 18 11:33:06 2024 removing 7056728 relations and 5056728 ideals in 2000000 cliques
- Tue Jun 18 11:33:11 2024 commencing in-memory singleton removal
- Tue Jun 18 11:33:11 2024 begin with 115695362 relations and 101976082 unique ideals
- Tue Jun 18 11:33:15 2024 reduce to 115383437 relations and 96602910 ideals in 7 passes
- Tue Jun 18 11:33:15 2024 max relations containing the same ideal: 102
- Tue Jun 18 11:33:46 2024 removing 7045989 relations and 5045989 ideals in 2000000 cliques
- Tue Jun 18 11:33:51 2024 commencing in-memory singleton removal
- Tue Jun 18 11:33:51 2024 begin with 108337448 relations and 96602910 unique ideals
- Tue Jun 18 11:33:55 2024 reduce to 108008555 relations and 91222964 ideals in 7 passes
- Tue Jun 18 11:33:55 2024 max relations containing the same ideal: 96
- Tue Jun 18 11:34:29 2024 removing 7048915 relations and 5048915 ideals in 2000000 cliques
- Tue Jun 18 11:34:33 2024 commencing in-memory singleton removal
- Tue Jun 18 11:34:34 2024 begin with 100959640 relations and 91222964 unique ideals
- Tue Jun 18 11:34:37 2024 reduce to 100611569 relations and 85820101 ideals in 7 passes
- Tue Jun 18 11:34:37 2024 max relations containing the same ideal: 92
- Tue Jun 18 11:35:05 2024 removing 7066182 relations and 5066182 ideals in 2000000 cliques
- Tue Jun 18 11:35:10 2024 commencing in-memory singleton removal
- Tue Jun 18 11:35:10 2024 begin with 93545387 relations and 85820101 unique ideals
- Tue Jun 18 11:35:13 2024 reduce to 93173592 relations and 80375471 ideals in 7 passes
- Tue Jun 18 11:35:13 2024 max relations containing the same ideal: 87
- Tue Jun 18 11:35:40 2024 removing 7089996 relations and 5089996 ideals in 2000000 cliques
- Tue Jun 18 11:35:44 2024 commencing in-memory singleton removal
- Tue Jun 18 11:35:44 2024 begin with 86083596 relations and 80375471 unique ideals
- Tue Jun 18 11:35:47 2024 reduce to 85682434 relations and 74876844 ideals in 7 passes
- Tue Jun 18 11:35:47 2024 max relations containing the same ideal: 84
- Tue Jun 18 11:36:12 2024 removing 7137726 relations and 5137726 ideals in 2000000 cliques
- Tue Jun 18 11:36:16 2024 commencing in-memory singleton removal
- Tue Jun 18 11:36:17 2024 begin with 78544708 relations and 74876844 unique ideals
- Tue Jun 18 11:36:19 2024 reduce to 78104907 relations and 69290339 ideals in 7 passes
- Tue Jun 18 11:36:19 2024 max relations containing the same ideal: 78
- Tue Jun 18 11:36:43 2024 removing 7197650 relations and 5197650 ideals in 2000000 cliques
- Tue Jun 18 11:36:46 2024 commencing in-memory singleton removal
- Tue Jun 18 11:36:47 2024 begin with 70907257 relations and 69290339 unique ideals
- Tue Jun 18 11:36:49 2024 reduce to 70418810 relations and 63593553 ideals in 7 passes
- Tue Jun 18 11:36:49 2024 max relations containing the same ideal: 73
- Tue Jun 18 11:37:10 2024 removing 7274539 relations and 5274539 ideals in 2000000 cliques
- Tue Jun 18 11:37:13 2024 commencing in-memory singleton removal
- Tue Jun 18 11:37:14 2024 begin with 63144271 relations and 63593553 unique ideals
- Tue Jun 18 11:37:15 2024 reduce to 62592754 relations and 57754058 ideals in 7 passes
- Tue Jun 18 11:37:15 2024 max relations containing the same ideal: 71
- Tue Jun 18 11:37:35 2024 removing 7372121 relations and 5372121 ideals in 2000000 cliques
- Tue Jun 18 11:37:38 2024 commencing in-memory singleton removal
- Tue Jun 18 11:37:39 2024 begin with 55220633 relations and 57754058 unique ideals
- Tue Jun 18 11:37:40 2024 reduce to 54584485 relations and 51728654 ideals in 8 passes
- Tue Jun 18 11:37:40 2024 max relations containing the same ideal: 65
- Tue Jun 18 11:37:57 2024 removing 3132684 relations and 2457551 ideals in 675133 cliques
- Tue Jun 18 11:37:59 2024 commencing in-memory singleton removal
- Tue Jun 18 11:38:00 2024 begin with 51451801 relations and 51728654 unique ideals
- Tue Jun 18 11:38:01 2024 reduce to 51328019 relations and 49146054 ideals in 8 passes
- Tue Jun 18 11:38:01 2024 max relations containing the same ideal: 60
- Tue Jun 18 11:38:28 2024 relations with 0 large ideals: 67142
- Tue Jun 18 11:38:28 2024 relations with 1 large ideals: 65582
- Tue Jun 18 11:38:28 2024 relations with 2 large ideals: 645891
- Tue Jun 18 11:38:28 2024 relations with 3 large ideals: 3252106
- Tue Jun 18 11:38:28 2024 relations with 4 large ideals: 8665548
- Tue Jun 18 11:38:28 2024 relations with 5 large ideals: 13502676
- Tue Jun 18 11:38:28 2024 relations with 6 large ideals: 12951005
- Tue Jun 18 11:38:28 2024 relations with 7+ large ideals: 12178069
- Tue Jun 18 11:38:28 2024 commencing 2-way merge
- Tue Jun 18 11:38:52 2024 reduce to 32197410 relation sets and 30015445 unique ideals
- Tue Jun 18 11:38:52 2024 commencing full merge
- Tue Jun 18 11:50:34 2024 memory use: 3940.5 MB
- Tue Jun 18 11:50:38 2024 found 14680153 cycles, need 14479645
- Tue Jun 18 11:50:44 2024 weight of 14479645 cycles is about 1737858023 (120.02/cycle)
- Tue Jun 18 11:50:45 2024 distribution of cycle lengths:
- Tue Jun 18 11:50:45 2024 1 relations: 751583
- Tue Jun 18 11:50:45 2024 2 relations: 925231
- Tue Jun 18 11:50:45 2024 3 relations: 1024166
- Tue Jun 18 11:50:45 2024 4 relations: 1032304
- Tue Jun 18 11:50:45 2024 5 relations: 1040120
- Tue Jun 18 11:50:45 2024 6 relations: 1026688
- Tue Jun 18 11:50:45 2024 7 relations: 1009165
- Tue Jun 18 11:50:45 2024 8 relations: 968486
- Tue Jun 18 11:50:45 2024 9 relations: 920480
- Tue Jun 18 11:50:45 2024 10+ relations: 5781422
- Tue Jun 18 11:50:45 2024 heaviest cycle: 28 relations
- Tue Jun 18 11:50:50 2024 commencing cycle optimization
- Tue Jun 18 11:51:33 2024 start with 126261551 relations
- Tue Jun 18 11:56:26 2024 pruned 5476099 relations
- Tue Jun 18 11:56:26 2024 memory use: 3398.6 MB
- Tue Jun 18 11:56:26 2024 distribution of cycle lengths:
- Tue Jun 18 11:56:26 2024 1 relations: 751583
- Tue Jun 18 11:56:26 2024 2 relations: 946715
- Tue Jun 18 11:56:26 2024 3 relations: 1065263
- Tue Jun 18 11:56:26 2024 4 relations: 1072411
- Tue Jun 18 11:56:26 2024 5 relations: 1089930
- Tue Jun 18 11:56:26 2024 6 relations: 1074439
- Tue Jun 18 11:56:26 2024 7 relations: 1059857
- Tue Jun 18 11:56:26 2024 8 relations: 1015142
- Tue Jun 18 11:56:26 2024 9 relations: 964168
- Tue Jun 18 11:56:26 2024 10+ relations: 5440137
- Tue Jun 18 11:56:26 2024 heaviest cycle: 28 relations
- Tue Jun 18 11:57:06 2024 RelProcTime: 5088
- Tue Jun 18 11:57:06 2024
- Tue Jun 18 11:57:06 2024 commencing linear algebra
- Tue Jun 18 11:57:06 2024 using VBITS=256
- Tue Jun 18 11:57:08 2024 read 14479645 cycles
- Tue Jun 18 11:57:36 2024 cycles contain 50154231 unique relations
- Tue Jun 18 12:04:00 2024 read 50154231 relations
- Tue Jun 18 12:04:04 2024 using 20 quadratic characters above 4294917295
- Tue Jun 18 12:04:13 2024 building initial matrix
- Tue Jun 18 12:20:17 2024 memory use: 6496.2 MB
- Tue Jun 18 12:20:26 2024 read 14479645 cycles
- Tue Jun 18 12:20:27 2024 matrix is 14479467 x 14479645 (6815.1 MB) with weight 1944831174 (134.31/col)
- Tue Jun 18 12:20:27 2024 sparse part has weight 1627251116 (112.38/col)
- Tue Jun 18 12:23:23 2024 filtering completed in 2 passes
- Tue Jun 18 12:23:26 2024 matrix is 14478494 x 14478669 (6815.0 MB) with weight 1944792848 (134.32/col)
- Tue Jun 18 12:23:26 2024 sparse part has weight 1627234550 (112.39/col)
- Tue Jun 18 12:29:00 2024 matrix starts at (0, 0)
- Tue Jun 18 12:29:01 2024 matrix is 14478494 x 14478669 (6815.0 MB) with weight 1944792848 (134.32/col)
- Tue Jun 18 12:29:01 2024 sparse part has weight 1627234550 (112.39/col)
- Tue Jun 18 12:29:01 2024 saving the first 240 matrix rows for later
- Tue Jun 18 12:29:04 2024 matrix includes 256 packed rows
- Tue Jun 18 12:29:10 2024 matrix is 14478254 x 14478669 (6328.4 MB) with weight 1497429837 (103.42/col)
- Tue Jun 18 12:29:10 2024 sparse part has weight 1427286205 (98.58/col)
- Tue Jun 18 12:29:13 2024 using GPU 0 (NVIDIA L40S)
- Tue Jun 18 12:29:13 2024 selected card has CUDA arch 8.9
- Nonzeros per block: 1750000000
- converting matrix to CSR and copying it onto the GPU
- 1427286205 14478254 14478669
- 1427286205 14478669 14478254
- commencing Lanczos iteration
- vector memory use: 3093.0 MB
- dense rows memory use: 441.9 MB
- sparse matrix memory use: 10999.8 MB
- memory use: 14534.6 MB
- Allocated 1035.9 MB for SpMV library
- Allocated 1035.9 MB for SpMV library
- Tue Jun 18 12:31:29 2024 commencing Lanczos iteration
- Tue Jun 18 12:31:30 2024 memory use: 14534.6 MB
- Tue Jun 18 12:32:12 2024 linear algebra at 0.2%, ETA 5h22m
- Tue Jun 18 12:33:13 2024 checking every 20000 dimensions, checkpointing every 1360000 dimensions
- Tue Jun 18 17:51:52 2024 lanczos halted after 56728 iterations (dim = 14478252)
- Tue Jun 18 17:53:17 2024 recovered 37 nontrivial dependencies
- Tue Jun 18 17:53:17 2024 BLanczosTime: 21371
- Tue Jun 18 17:53:17 2024
- Tue Jun 18 17:53:17 2024 commencing square root phase
- Tue Jun 18 17:53:17 2024 handling dependencies 1 to 64
- Tue Jun 18 17:53:17 2024 reading relations for dependency 1
- Tue Jun 18 17:53:20 2024 read 7240752 cycles
- Tue Jun 18 17:53:34 2024 cycles contain 25079166 unique relations
- Tue Jun 18 17:59:50 2024 read 25079166 relations
- Tue Jun 18 18:01:31 2024 multiplying 25079166 relations
- Tue Jun 18 18:16:17 2024 multiply complete, coefficients have about 869.59 million bits
- Tue Jun 18 18:16:20 2024 initial square root is modulo 63313573
- Tue Jun 18 18:23:03 2024 GCD is N, no factor found
- Tue Jun 18 18:23:03 2024 reading relations for dependency 2
- Tue Jun 18 18:23:06 2024 read 7236972 cycles
- Tue Jun 18 18:23:22 2024 cycles contain 25072526 unique relations
- Tue Jun 18 18:29:39 2024 read 25072526 relations
- Tue Jun 18 18:31:22 2024 multiplying 25072526 relations
- Tue Jun 18 18:45:50 2024 multiply complete, coefficients have about 869.36 million bits
- Tue Jun 18 18:45:52 2024 initial square root is modulo 63023881
- Tue Jun 18 18:52:35 2024 GCD is N, no factor found
- Tue Jun 18 19:38:45 2024
- Tue Jun 18 19:38:45 2024 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
- Tue Jun 18 19:38:45 2024 random seeds: 9c8c51d8 5a5acda9
- Tue Jun 18 19:38:45 2024 factoring 3555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559 (256 digits)
- Tue Jun 18 19:38:46 2024 no P-1/P+1/ECM available, skipping
- Tue Jun 18 19:38:46 2024 commencing number field sieve (256-digit input)
- Tue Jun 18 19:38:46 2024 R0: -2000000000000000000000000000000000000000000
- Tue Jun 18 19:38:46 2024 R1: 1
- Tue Jun 18 19:38:46 2024 A0: 31
- Tue Jun 18 19:38:46 2024 A1: 0
- Tue Jun 18 19:38:46 2024 A2: 0
- Tue Jun 18 19:38:46 2024 A3: 0
- Tue Jun 18 19:38:46 2024 A4: 0
- Tue Jun 18 19:38:46 2024 A5: 0
- Tue Jun 18 19:38:46 2024 A6: 500
- Tue Jun 18 19:38:46 2024 skew 1.00, size 6.247e-13, alpha 0.723, combined = 8.539e-14 rroots = 0
- Tue Jun 18 19:38:46 2024
- Tue Jun 18 19:38:46 2024 commencing square root phase
- Tue Jun 18 19:38:46 2024 handling dependencies 6 to 9
- Tue Jun 18 19:38:46 2024 reading relations for dependency 6
- Tue Jun 18 19:38:46 2024 read 7235930 cycles
- Tue Jun 18 19:38:55 2024 cycles contain 25070638 unique relations
- Tue Jun 18 19:44:00 2024 read 25070638 relations
- Tue Jun 18 19:45:11 2024 multiplying 25070638 relations
- Tue Jun 18 19:58:59 2024 multiply complete, coefficients have about 869.29 million bits
- Tue Jun 18 19:59:00 2024 initial square root is modulo 62925223
- Tue Jun 18 20:12:09 2024 sqrtTime: 2003
- Tue Jun 18 20:12:09 2024 p72 factor: 457289016521839079107096596627126617435499380564472807393065789370382103
- Tue Jun 18 20:12:09 2024 p184 factor: 7775291833158976260105373775881999558444658505337520957674070258958726957454702029616995996082639538845010400613842181658119380889999331348710676146970873905976206901644946210045144753
- Tue Jun 18 20:12:09 2024 elapsed time 00:33:24
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