CONFIGURATION internal memory for sorting = 650 MB EdgeVector default block size = 2048 KB EdgeVector default #pages = 1 EdgeVector default page size = 4 block(s) MST vector block size = 2048 KB MST vector #pages = 1 MST vector page size = 4 block(s) external bucket block size = 512 KB external bucket page size = 1 block(s) internal buckets: no of blocks = 1500000 internal buckets: edges per block = 8 Duplicates are removed. The input is randomized. -------------------- STXXL-DISK-CONFIGURATION (.stxxl) disk=/mnt/hdq/stxxl,70000,syscall disk=/mnt/hdi/stxxl,70000,syscall disk=/mnt/hdk/stxxl,70000,syscall disk=/mnt/hde/stxxl,70000,syscall -------------------- GRID GRAPH #nodes = 3.20e+08 ( = 40000 x 8000 ) #edges = 6.40e+08 #buckets = 90 #nodes which fit in internal memory = 1.60e+08 -------------------- EVENTS total time: 0.00000 sec., section time: 0.00000 sec. - begin total time: 433.91070 sec., section time: 433.91070 sec. - graph generated/imported total time: 1009.82121 sec., section time: 575.91050 sec. - edges distributed to external buckets total time: 1687.38415 sec., section time: 677.56295 sec. - nodes reduced total time: 2059.59656 sec., section time: 372.21241 sec. - Kruskal: edges sorted total time: 2062.67634 sec., section time: 3.07978 sec. - Kruskal: data structures initialized total time: 2968.34838 sec., section time: 905.67205 sec. - Kruskal: edges processed total time: 2968.49131 sec., section time: 0.14293 sec. - end -------------------- BUCKETS 88 #nodes=1.8e+06 #edges=6.4e+06 #edgesProcessed=6.4e+06 capacity=1.4e+07 (factor 2.3) #free blocks=1.5e+06 used memory=508 MB (57%) 87 #nodes=1.8e+06 #edges=7.2e+06 #edgesProcessed=7.2e+06 capacity=1.4e+07 (factor 2.0) #free blocks=1.5e+06 used memory=508 MB (57%) 86 #nodes=1.8e+06 #edges=7.2e+06 #edgesProcessed=7.3e+06 capacity=1.4e+07 (factor 2.0) #free blocks=1.5e+06 used memory=507 MB (57%) 85 #nodes=1.8e+06 #edges=7.2e+06 #edgesProcessed=7.3e+06 capacity=1.4e+07 (factor 2.0) #free blocks=1.5e+06 used memory=507 MB (57%) 84 #nodes=1.8e+06 #edges=7.3e+06 #edgesProcessed=7.3e+06 capacity=1.4e+07 (factor 2.0) #free blocks=1.5e+06 used memory=506 MB (57%) 83 #nodes=1.8e+06 #edges=7.3e+06 #edgesProcessed=7.3e+06 capacity=1.4e+07 (factor 2.0) #free blocks=1.5e+06 used memory=506 MB (57%) 82 #nodes=1.8e+06 #edges=7.3e+06 #edgesProcessed=7.3e+06 capacity=1.4e+07 (factor 2.0) #free blocks=1.5e+06 used memory=505 MB (57%) 81 #nodes=1.8e+06 #edges=7.3e+06 #edgesProcessed=7.4e+06 capacity=1.4e+07 (factor 2.0) #free blocks=1.5e+06 used memory=505 MB (57%) 80 #nodes=1.8e+06 #edges=7.3e+06 #edgesProcessed=7.4e+06 capacity=1.4e+07 (factor 2.0) #free blocks=1.5e+06 used memory=504 MB (57%) 79 #nodes=1.8e+06 #edges=7.4e+06 #edgesProcessed=7.4e+06 capacity=1.4e+07 (factor 2.0) #free blocks=1.5e+06 used memory=504 MB (57%) 78 #nodes=1.8e+06 #edges=7.4e+06 #edgesProcessed=7.4e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=503 MB (57%) 77 #nodes=1.8e+06 #edges=7.4e+06 #edgesProcessed=7.5e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=503 MB (57%) 76 #nodes=1.8e+06 #edges=7.4e+06 #edgesProcessed=7.5e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=502 MB (56%) 75 #nodes=1.8e+06 #edges=7.5e+06 #edgesProcessed=7.5e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=502 MB (56%) 74 #nodes=1.8e+06 #edges=7.5e+06 #edgesProcessed=7.5e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=501 MB (56%) 73 #nodes=1.8e+06 #edges=7.5e+06 #edgesProcessed=7.5e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=501 MB (56%) 72 #nodes=1.8e+06 #edges=7.5e+06 #edgesProcessed=7.6e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=500 MB (56%) 71 #nodes=1.8e+06 #edges=7.6e+06 #edgesProcessed=7.6e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=500 MB (56%) 70 #nodes=1.8e+06 #edges=7.6e+06 #edgesProcessed=7.6e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=499 MB (56%) 69 #nodes=1.8e+06 #edges=7.6e+06 #edgesProcessed=7.6e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=499 MB (56%) 68 #nodes=1.8e+06 #edges=7.6e+06 #edgesProcessed=7.7e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=498 MB (56%) 67 #nodes=1.8e+06 #edges=7.7e+06 #edgesProcessed=7.7e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=498 MB (56%) 66 #nodes=1.8e+06 #edges=7.7e+06 #edgesProcessed=7.7e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=497 MB (56%) 65 #nodes=1.8e+06 #edges=7.7e+06 #edgesProcessed=7.7e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=497 MB (56%) 64 #nodes=1.8e+06 #edges=7.7e+06 #edgesProcessed=7.8e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=496 MB (56%) 63 #nodes=1.8e+06 #edges=7.8e+06 #edgesProcessed=7.8e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=496 MB (56%) 62 #nodes=1.8e+06 #edges=7.8e+06 #edgesProcessed=7.8e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=495 MB (56%) 61 #nodes=1.8e+06 #edges=7.8e+06 #edgesProcessed=7.9e+06 capacity=1.4e+07 (factor 1.9) #free blocks=1.5e+06 used memory=495 MB (56%) 60 #nodes=1.8e+06 #edges=7.8e+06 #edgesProcessed=7.9e+06 capacity=1.4e+07 (factor 1.8) #free blocks=1.5e+06 used memory=494 MB (56%) 59 #nodes=1.8e+06 #edges=7.9e+06 #edgesProcessed=7.9e+06 capacity=1.4e+07 (factor 1.8) #free blocks=1.5e+06 used memory=494 MB (56%) 58 #nodes=1.8e+06 #edges=7.9e+06 #edgesProcessed=7.9e+06 capacity=1.4e+07 (factor 1.8) #free blocks=1.5e+06 used memory=493 MB (55%) 57 #nodes=1.8e+06 #edges=7.9e+06 #edgesProcessed=8.0e+06 capacity=1.4e+07 (factor 1.8) #free blocks=1.5e+06 used memory=493 MB (55%) 56 #nodes=1.8e+06 #edges=7.9e+06 #edgesProcessed=8.0e+06 capacity=1.4e+07 (factor 1.8) #free blocks=1.5e+06 used memory=492 MB (55%) 55 #nodes=1.8e+06 #edges=8.0e+06 #edgesProcessed=8.0e+06 capacity=1.4e+07 (factor 1.8) #free blocks=1.5e+06 used memory=492 MB (55%) 54 #nodes=1.8e+06 #edges=8.0e+06 #edgesProcessed=8.0e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=491 MB (55%) 53 #nodes=1.8e+06 #edges=8.0e+06 #edgesProcessed=8.1e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=491 MB (55%) 52 #nodes=1.8e+06 #edges=8.1e+06 #edgesProcessed=8.1e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=490 MB (55%) 51 #nodes=1.8e+06 #edges=8.1e+06 #edgesProcessed=8.1e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=490 MB (55%) 50 #nodes=1.8e+06 #edges=8.1e+06 #edgesProcessed=8.2e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=489 MB (55%) 49 #nodes=1.8e+06 #edges=8.2e+06 #edgesProcessed=8.2e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=489 MB (55%) 48 #nodes=1.8e+06 #edges=8.2e+06 #edgesProcessed=8.2e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=488 MB (55%) 47 #nodes=1.8e+06 #edges=8.2e+06 #edgesProcessed=8.3e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=488 MB (55%) 46 #nodes=1.8e+06 #edges=8.2e+06 #edgesProcessed=8.3e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=487 MB (55%) 45 #nodes=1.8e+06 #edges=8.3e+06 #edgesProcessed=8.3e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=487 MB (55%) 44 #nodes=1.8e+06 #edges=8.3e+06 #edgesProcessed=8.3e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=486 MB (55%) 43 #nodes=1.8e+06 #edges=8.3e+06 #edgesProcessed=8.4e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=486 MB (55%) 42 #nodes=1.8e+06 #edges=8.4e+06 #edgesProcessed=8.4e+06 capacity=1.5e+07 (factor 1.8) #free blocks=1.5e+06 used memory=485 MB (55%) 41 #nodes=1.8e+06 #edges=8.4e+06 #edgesProcessed=8.4e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.5e+06 used memory=485 MB (55%) 40 #nodes=1.8e+06 #edges=8.4e+06 #edgesProcessed=8.5e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.5e+06 used memory=484 MB (54%) 39 #nodes=1.8e+06 #edges=8.5e+06 #edgesProcessed=8.5e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.5e+06 used memory=484 MB (54%) 38 #nodes=1.8e+06 #edges=8.5e+06 #edgesProcessed=8.5e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.5e+06 used memory=483 MB (54%) 37 #nodes=1.8e+06 #edges=8.5e+06 #edgesProcessed=8.6e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.5e+06 used memory=483 MB (54%) 36 #nodes=1.8e+06 #edges=8.6e+06 #edgesProcessed=8.6e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.5e+06 used memory=482 MB (54%) 35 #nodes=1.8e+06 #edges=8.6e+06 #edgesProcessed=8.6e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.5e+06 used memory=482 MB (54%) 34 #nodes=1.8e+06 #edges=8.6e+06 #edgesProcessed=8.7e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.5e+06 used memory=481 MB (54%) 33 #nodes=1.8e+06 #edges=8.6e+06 #edgesProcessed=8.7e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.5e+06 used memory=481 MB (54%) 32 #nodes=1.8e+06 #edges=8.7e+06 #edgesProcessed=8.7e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=480 MB (54%) 31 #nodes=1.8e+06 #edges=8.7e+06 #edgesProcessed=8.8e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=480 MB (54%) 30 #nodes=1.8e+06 #edges=8.8e+06 #edgesProcessed=8.8e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=479 MB (54%) 29 #nodes=1.8e+06 #edges=8.8e+06 #edgesProcessed=8.8e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=479 MB (54%) 28 #nodes=1.8e+06 #edges=8.8e+06 #edgesProcessed=8.9e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=478 MB (54%) 27 #nodes=1.8e+06 #edges=8.9e+06 #edgesProcessed=8.9e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=478 MB (54%) 26 #nodes=1.8e+06 #edges=8.9e+06 #edgesProcessed=9.0e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=477 MB (54%) 25 #nodes=1.8e+06 #edges=8.9e+06 #edgesProcessed=9.0e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=477 MB (54%) 24 #nodes=1.8e+06 #edges=9.0e+06 #edgesProcessed=9.0e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=476 MB (54%) 23 #nodes=1.8e+06 #edges=9.0e+06 #edgesProcessed=9.1e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=476 MB (53%) 22 #nodes=1.8e+06 #edges=9.0e+06 #edgesProcessed=9.1e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=475 MB (53%) 21 #nodes=1.8e+06 #edges=9.1e+06 #edgesProcessed=9.1e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=475 MB (53%) 20 #nodes=1.8e+06 #edges=9.1e+06 #edgesProcessed=9.2e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=474 MB (53%) 19 #nodes=1.8e+06 #edges=9.2e+06 #edgesProcessed=9.2e+06 capacity=1.5e+07 (factor 1.7) #free blocks=1.4e+06 used memory=474 MB (53%) 18 #nodes=1.8e+06 #edges=9.2e+06 #edgesProcessed=9.3e+06 capacity=1.5e+07 (factor 1.6) #free blocks=1.4e+06 used memory=473 MB (53%) 17 #nodes=1.8e+06 #edges=9.2e+06 #edgesProcessed=9.3e+06 capacity=1.5e+07 (factor 1.6) #free blocks=1.4e+06 used memory=473 MB (53%) 16 #nodes=1.8e+06 #edges=9.3e+06 #edgesProcessed=9.3e+06 capacity=1.5e+07 (factor 1.6) #free blocks=1.4e+06 used memory=472 MB (53%) 15 #nodes=1.8e+06 #edges=9.3e+06 #edgesProcessed=9.4e+06 capacity=1.5e+07 (factor 1.6) #free blocks=1.4e+06 used memory=472 MB (53%) 14 #nodes=1.8e+06 #edges=9.4e+06 #edgesProcessed=9.4e+06 capacity=1.5e+07 (factor 1.6) #free blocks=1.4e+06 used memory=471 MB (53%) 13 #nodes=1.8e+06 #edges=9.4e+06 #edgesProcessed=9.5e+06 capacity=1.5e+07 (factor 1.6) #free blocks=1.4e+06 used memory=471 MB (53%) 12 #nodes=1.8e+06 #edges=9.4e+06 #edgesProcessed=9.5e+06 capacity=1.5e+07 (factor 1.6) #free blocks=1.4e+06 used memory=470 MB (53%) 11 #nodes=1.8e+06 #edges=9.5e+06 #edgesProcessed=9.5e+06 capacity=1.5e+07 (factor 1.6) #free blocks=1.4e+06 used memory=470 MB (53%) 10 #nodes=1.8e+06 #edges=9.5e+06 #edgesProcessed=9.6e+06 capacity=1.5e+07 (factor 1.6) #free blocks=1.4e+06 used memory=469 MB (53%) 9 #nodes=1.8e+06 #edges=9.6e+06 #edgesProcessed=9.6e+06 capacity=1.5e+07 (factor 1.6) #free blocks=1.4e+06 used memory=469 MB (53%) 8 #nodes=1.8e+06 #edges=9.6e+06 #edgesProcessed=9.7e+06 capacity=1.5e+07 (factor 1.6) #free blocks=1.4e+06 used memory=468 MB (53%) 7 #nodes=1.8e+06 #edges=9.6e+06 #edgesProcessed=9.7e+06 capacity=1.6e+07 (factor 1.6) #free blocks=1.4e+06 used memory=468 MB (53%) 6 #nodes=1.8e+06 #edges=9.7e+06 #edgesProcessed=9.8e+06 capacity=1.6e+07 (factor 1.6) #free blocks=1.4e+06 used memory=467 MB (53%) 5 #nodes=1.8e+06 #edges=9.7e+06 #edgesProcessed=9.8e+06 capacity=1.6e+07 (factor 1.6) #free blocks=1.3e+06 used memory=467 MB (52%) 4 #nodes=1.8e+06 #edges=9.8e+06 #edgesProcessed=9.8e+06 capacity=1.6e+07 (factor 1.6) #free blocks=1.3e+06 used memory=466 MB (52%) 3 #nodes=1.8e+06 #edges=9.8e+06 #edgesProcessed=9.9e+06 capacity=1.6e+07 (factor 1.6) #free blocks=1.3e+06 used memory=466 MB (52%) 2 #nodes=1.8e+06 #edges=9.8e+06 #edgesProcessed=9.9e+06 capacity=1.6e+07 (factor 1.6) #free blocks=1.3e+06 used memory=465 MB (52%) 1 #nodes=1.8e+06 #edges=9.9e+06 #edgesProcessed=1.0e+07 capacity=1.6e+07 (factor 1.6) #free blocks=1.3e+06 used memory=465 MB (52%) 0 #nodes=1.8e+06 #edges=9.9e+06 #edgesProcessed=1.0e+07 capacity=1.6e+07 (factor 1.6) #free blocks=1.3e+06 used memory=464 MB (52%) -1 #nodes=1.6e+08 #edges=4.5e+08 #edgesProcessed=0.0e+00 capacity=0.0e+00 (factor 0.0) #free blocks=-1.0e+00 used memory=0 MB (52%) max total capacity = 15800832 / max factor = 2.3 -------------------- RESULT Minimum Spanning Tree: total weight = 85510065172309 #edges = 319999999 -------------------- PROCESSED EDGES reducing of nodes: #edges read or written = 2.576e+09 (49135 MB) #edges processed = 7.500e+08 expected #edges processed = 8.872e+08 -------------------- TIMING total time = 2.53458e+03 sec. time / m = 3.96058e-06 sec. time / (m ln m) = 1.95325e-07 sec. [m = #edges] -------------------- DUPLICATES #duplicates removed = 24618885 --------------------