rsmt300.ps

生成直角Steiner树的程序包

 % Fixed 1 vars to 0 and 0 vars to 1.
 % initially 34 congested vertices:
 % find_congested_components found 3 components:
 %	component 0:	15 verts,	17 edges
 %	component 1:	5 verts,	5 edges
 %	component 2:	3 verts,	3 edges
 % Enumerating 15 congested vertices.
  % @PAP adding 2 rows, 32 nz to LP
 % @PMEM 2897 rows, 2 blocks, 8641 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 707 rows, 1075 cols, 16983 nonzeros, 11 slack, 696 tight.
  % Node 0 LP 23 Solution, length = 128085.500000, 0.00/0.00/0.00/0.00/0.00/0.00/0.02 2
 % 50 fractional variables
 % @LO 1.93 128085.49999999986903276294 0.1477294874
 % @LN 1.93 128085.50000000000000000000 0.1477294874
 % initially 45 congested vertices:
 % find_congested_components found 3 components:
 %	component 0:	12 verts,	13 edges
 %	component 1:	5 verts,	5 edges
 %	component 2:	16 verts,	19 edges
 % Enumerating 12 congested vertices.
 % Enumerating 16 congested vertices.
 % @D deleting 11 slack rows
  % @PAP adding 5 rows, 305 nz to LP
 % @PMEM 2902 rows, 2 blocks, 8331 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 701 rows, 1075 cols, 16977 nonzeros, 5 slack, 696 tight.
  % @PAP adding 4 rows, 276 nz to LP
  % @PL 705 rows, 1075 cols, 17253 nonzeros, 6 slack, 699 tight.
  % Node 0 LP 24 Solution, length = 128090.250000, 0.00/0.00/0.00/0.00/0.00/0.00/0.03 5
 % 51 fractional variables
 % @LO 1.96 128085.50000000000000000000 0.1477294874
 % @LN 1.96 128090.25000000000000000000 0.1440265056
 % Fixed 6 vars to 0 and 1 vars to 1.
 % initially 49 congested vertices:
 % find_congested_components found 4 components:
 %	component 0:	3 verts,	3 edges
 %	component 1:	5 verts,	5 edges
 %	component 2:	5 verts,	8 edges
 %	component 3:	18 verts,	20 edges
 % Enumerating 18 congested vertices.
 % @D deleting 6 slack rows
  % @PAP adding 12 rows, 233 nz to LP
 % @PMEM 2914 rows, 2 blocks, 8086 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 711 rows, 1075 cols, 17296 nonzeros, 3 slack, 708 tight.
  % Node 0 LP 25 Solution, length = 128092.000000, 0.00/0.00/0.00/0.00/0.01/0.00/0.01 12
 % 17 fractional variables
 % @LO 1.98 128090.25000000000000000000 0.1440265056
 % @LN 1.98 128091.99999999986903276294 0.1426622491
 % Fixed 2 vars to 0 and 0 vars to 1.
 % initially 22 congested vertices:
 % find_congested_components found 2 components:
 %	component 0:	4 verts,	4 edges
 %	component 1:	5 verts,	5 edges
 % @D deleting 3 slack rows
  % @PAP adding 4 rows, 40 nz to LP
 % @PMEM 2918 rows, 2 blocks, 8042 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 712 rows, 1075 cols, 17247 nonzeros, 51 slack, 661 tight.
  % @PAP adding 6 rows, 734 nz to LP
  % @PL 718 rows, 1075 cols, 17981 nonzeros, 17 slack, 701 tight.
  % Node 0 LP 26 Solution, length = 128099.750000, 0.00/0.00/0.00/0.00/0.00/0.00/0.05 4
 % 35 fractional variables
 % @LO 2.03 128091.99999999986903276294 0.1426622491
 % @LN 2.03 128099.75000000000000000000 0.1366205418
 % Fixed 4 vars to 0 and 0 vars to 1.
 % initially 50 congested vertices:
 % find_congested_components found 2 components:
 %	component 0:	18 verts,	17 edges
 %	component 1:	5 verts,	5 edges
 % Enumerating 18 congested vertices.
 % @D deleting 17 slack rows
  % @PAP adding 2 rows, 147 nz to LP
 % @PMEM 2920 rows, 2 blocks, 7893 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 703 rows, 1075 cols, 17769 nonzeros, 5 slack, 698 tight.
  % Node 0 LP 27 Solution, length = 128100.571429, 0.00/0.00/0.00/0.00/0.00/0.00/0.03 2
 % 47 fractional variables
 % @LO 2.06 128099.75000000000000000000 0.1366205418
 % @LN 2.06 128100.57142857155122328550 0.1359801765
 % initially 53 congested vertices:
 % find_congested_components found 2 components:
 %	component 0:	33 verts,	36 edges
 %	component 1:	5 verts,	5 edges
 % Enumerating 33 congested vertices.
 % @D deleting 5 slack rows
  % @PAP adding 8 rows, 1575 nz to LP
 % @PMEM 2928 rows, 2 blocks, 6310 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 706 rows, 1075 cols, 18947 nonzeros, 27 slack, 679 tight.
  % Node 0 LP 28 Solution, length = 128102.200000, 0.00/0.00/0.00/0.00/0.00/0.00/0.02 8
 % 36 fractional variables
 % @LO 2.08 128100.57142857155122328550 0.1359801765
 % @LN 2.08 128102.20000000011350493878 0.1347105827
 % Fixed 0 vars to 0 and 1 vars to 1.
 % initially 48 congested vertices:
 % find_congested_components found 2 components:
 %	component 0:	18 verts,	18 edges
 %	component 1:	5 verts,	5 edges
 % Enumerating 18 congested vertices.
 % @D deleting 27 slack rows
  % @PAP adding 2 rows, 59 nz to LP
 % @PMEM 2930 rows, 2 blocks, 6249 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 681 rows, 1075 cols, 17313 nonzeros, 47 slack, 634 tight.
  % Node 0 LP 29 Solution, length = 128107.562500, 0.01/0.00/0.00/0.00/0.00/0.00/0.02 2
 % 65 fractional variables
 % @LO 2.11 128102.20000000011350493878 0.1347105827
 % @LN 2.11 128107.56250000004365574569 0.1305301111
 % @UO 2.11 128275.00000000000000000000 0.1305301111
 % @UN 2.11 128229.00000000000000000000 0.0947036162
 % Fixed 77 vars to 0 and 1 vars to 1.
 % initially 55 congested vertices:
 % find_congested_components found 3 components:
 %	component 0:	28 verts,	33 edges
 %	component 1:	5 verts,	5 edges
 %	component 2:	6 verts,	10 edges
 % Enumerating 28 congested vertices.
 % @D deleting 47 slack rows
  % @PAP adding 12 rows, 219 nz to LP
 % @PMEM 2942 rows, 2 blocks, 6018 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 646 rows, 1075 cols, 14479 nonzeros, 2 slack, 644 tight.
  % @PAP adding 1 rows, 52 nz to LP
  % @PL 647 rows, 1075 cols, 14531 nonzeros, 3 slack, 644 tight.
  % Node 0 LP 30 Solution, length = 128109.750000, 0.01/0.00/0.00/0.00/0.00/0.00/0.03 12
 % 40 fractional variables
 % @LO 2.15 128107.56250000004365574569 0.0947036162
 % @LN 2.15 128109.75000000000000000000 0.0929976838
 % Fixed 8 vars to 0 and 0 vars to 1.
 % initially 29 congested vertices:
 % find_congested_components found 3 components:
 %	component 0:	4 verts,	5 edges
 %	component 1:	14 verts,	16 edges
 %	component 2:	5 verts,	5 edges
 % Enumerating 14 congested vertices.
 % @D deleting 3 slack rows
  % @PAP adding 1 rows, 5 nz to LP
 % @PMEM 2943 rows, 2 blocks, 6012 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 645 rows, 1075 cols, 14492 nonzeros, 0 slack, 645 tight.
  % Node 0 LP 31 Solution, length = 128110.000000, 0.00/0.00/0.00/0.00/0.00/0.00/0.02 1
 % 17 fractional variables
 % @LO 2.17 128109.75000000000000000000 0.0929976838
 % @LN 2.17 128110.00000000007275957614 0.0928027201
 % initially 37 congested vertices:
 % find_congested_components found 2 components:
 %	component 0:	6 verts,	6 edges
 %	component 1:	5 verts,	5 edges
  % @PAP adding 8 rows, 236 nz to LP
 % @PMEM 2951 rows, 2 blocks, 5768 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 653 rows, 1075 cols, 14728 nonzeros, 3 slack, 650 tight.
  % Node 0 LP 32 Solution, length = 128110.000000, 0.00/0.00/0.00/0.00/0.00/0.00/0.02 8
 % 12 fractional variables
 % @LO 2.19 128110.00000000007275957614 0.0928027201
 % @LN 2.19 128110.00000000026193447411 0.0928027201
 % @cutset: 2 connected components.
 % initially 44 congested vertices:
 % find_congested_components found 2 components:
 %	component 0:	8 verts,	10 edges
 %	component 1:	5 verts,	5 edges
 % @D deleting 3 slack rows
  % @PAP adding 6 rows, 833 nz to LP
 % @PMEM 2957 rows, 2 blocks, 4929 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 656 rows, 1075 cols, 15450 nonzeros, 6 slack, 650 tight.
  % Node 0 LP 33 Solution, length = 128124.642857, 0.00/0.00/0.00/0.00/0.00/0.00/0.02 6
 % 48 fractional variables
 % @LO 2.21 128110.00000000026193447411 0.0928027201
 % @LN 2.21 128124.64285714284051209688 0.0813834178
 % Fixed 37 vars to 0 and 0 vars to 1.
 % initially 73 congested vertices:
 % find_congested_components found 3 components:
 %	component 0:	28 verts,	34 edges
 %	component 1:	5 verts,	5 edges
 %	component 2:	3 verts,	3 edges
 % Enumerating 28 congested vertices.
 % @D deleting 6 slack rows
  % @PAP adding 6 rows, 1046 nz to LP
 % @PMEM 2963 rows, 2 blocks, 3877 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 656 rows, 1075 cols, 15810 nonzeros, 7 slack, 649 tight.
  % Node 0 LP 34 Solution, length = 128126.600000, 0.00/0.00/0.00/0.00/0.00/0.00/0.02 6
 % 47 fractional variables
 % @LO 2.23 128124.64285714284051209688 0.0813834178
 % @LN 2.23 128126.60000000003492459655 0.0798571306
 % Fixed 4 vars to 0 and 0 vars to 1.
 % initially 73 congested vertices:
 % find_congested_components found 3 components:
 %	component 0:	20 verts,	25 edges
 %	component 1:	5 verts,	5 edges
 %	component 2:	7 verts,	8 edges
 % Enumerating 20 congested vertices.
 % @D deleting 7 slack rows
  % @PAP adding 3 rows, 165 nz to LP
 % @PMEM 2966 rows, 2 blocks, 3709 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 652 rows, 1075 cols, 15793 nonzeros, 15 slack, 637 tight.
  % @PAP adding 11 rows, 452 nz to LP
  % @PL 663 rows, 1075 cols, 16245 nonzeros, 3 slack, 660 tight.
  % @PAP adding 1 rows, 6 nz to LP
  % @PL 664 rows, 1075 cols, 16251 nonzeros, 13 slack, 651 tight.
  % @PAP adding 1 rows, 3 nz to LP
  % @PL 665 rows, 1075 cols, 16254 nonzeros, 13 slack, 652 tight.
  % Node 0 LP 35 Solution, length = 128130.777778, 0.01/0.00/0.00/0.00/0.00/0.00/0.07 3
 % 69 fractional variables
 % @LO 2.31 128126.60000000003492459655 0.0798571306
 % @LN 2.31 128130.77777777776645962149 0.0765990706
 % Fixed 12 vars to 0 and 0 vars to 1.
 % initially 77 congested vertices:
 % find_congested_components found 3 components:
 %	component 0:	42 verts,	47 edges
 %	component 1:	9 verts,	12 edges
 %	component 2:	3 verts,	3 edges
 % Enumerating 42 congested vertices.
 % @D deleting 13 slack rows
  % @PAP adding 13 rows, 1527 nz to LP
 % @PMEM 2979 rows, 2 blocks, 2169 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 665 rows, 1075 cols, 16444 nonzeros, 10 slack, 655 tight.
  % @PAP adding 2 rows, 13 nz to LP
  % @PL 667 rows, 1075 cols, 16457 nonzeros, 10 slack, 657 tight.
  % Node 0 LP 36 Solution, length = 128139.250000, 0.00/0.00/0.00/0.00/0.00/0.00/0.06 13
 % 49 fractional variables
 % @LO 2.37 128130.77777777776645962149 0.0765990706
 % @LN 2.37 128139.24999999995634425431 0.0699919675
 % @UO 2.37 128229.00000000000000000000 0.0699919675
 % @UN 2.37 128226.00000000000000000000 0.0676539859
 % Fixed 37 vars to 0 and 1 vars to 1.
 % initially 56 congested vertices:
 % find_congested_components found 3 components:
 %	component 0:	15 verts,	16 edges
 %	component 1:	5 verts,	5 edges
 %	component 2:	19 verts,	22 edges
 % Enumerating 15 congested vertices.
 % Enumerating 19 congested vertices.
 % @D deleting 10 slack rows
  % @PAP adding 16 rows, 811 nz to LP
 % @PMEM 2995 rows, 2 blocks, 1342 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 673 rows, 1075 cols, 16899 nonzeros, 1 slack, 672 tight.
  % Node 0 LP 37 Solution, length = 128139.833333, 0.00/0.00/0.00/0.00/0.00/0.00/0.03 16
 % 28 fractional variables
 % @LO 2.40 128139.24999999995634425431 0.0676539859
 % @LN 2.40 128139.83333333331393077970 0.0671990600
 % @UO 2.41 128226.00000000000000000000 0.0671990600
 % @UN 2.41 128179.00000000000000000000 0.0305562274
 % Fixed 193 vars to 0 and 6 vars to 1.
 % initially 43 congested vertices:
 % find_congested_components found 3 components:
 %	component 0:	17 verts,	18 edges
 %	component 1:	5 verts,	5 edges
 %	component 2:	4 verts,	5 edges
 % Enumerating 17 congested vertices.
 % @D deleting 1 slack rows
  % @PAP adding 3 rows, 338 nz to LP
 % @PMEM 2998 rows, 2 blocks, 1001 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 675 rows, 1075 cols, 17234 nonzeros, 3 slack, 672 tight.
  % Node 0 LP 38 Solution, length = 128140.833333, 0.01/0.00/0.00/0.00/0.00/0.00/0.03 3
 % 28 fractional variables
 % @LO 2.44 128139.83333333331393077970 0.0305562274
 % @LN 2.44 128140.83333333332848269492 0.0297760684
 % Fixed 4 vars to 0 and 0 vars to 1.
 % initially 44 congested vertices:
 % find_congested_components found 3 components:
 %	component 0:	17 verts,	18 edges
 %	component 1:	5 verts,	5 edges
 %	component 2:	4 verts,	5 edges
 % Enumerating 17 congested vertices.
 % @D deleting 3 slack rows
  % @PAP adding 3 rows, 346 nz to LP
 % @PMEM 3001 rows, 2 blocks, 652 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 675 rows, 1075 cols, 17261 nonzeros, 5 slack, 670 tight.
  % Node 0 LP 39 Solution, length = 128144.166667, 0.02/0.00/0.00/0.00/0.00/0.00/0.02 3
 % 39 fractional variables
 % @LO 2.48 128140.83333333332848269492 0.0297760684
 % @LN 2.48 128144.16666666671517305076 0.0271755384
 % Fixed 15 vars to 0 and 1 vars to 1.
 % initially 46 congested vertices:
 % find_congested_components found 3 components:
 %	component 0:	22 verts,	25 edges
 %	component 1:	4 verts,	5 edges
 %	component 2:	5 verts,	5 edges
 % Enumerating 22 congested vertices.
 % @D deleting 5 slack rows
  % @PAP adding 4 rows, 472 nz to LP
 % @PMEM 3005 rows, 2 blocks, 176 nzfree, 41 nzwasted, 79600 nztotal
  % @PL 674 rows, 1075 cols, 17338 nonzeros, 0 slack, 674 tight.
  % Node 0 LP 40 Solution, length = 128147.500000, 0.02/0.00/0.00/0.00/0.00/0.00/0.02 4
 % 3 fractional variables
 % @LO 2.52 128144.16666666671517305076 0.0271755384
 % @LN 2.52 128147.50000000007275957614 0.0245750084
 % @UO 2.53 128179.00000000000000000000 0.0245750084
 % @UN 2.53 128154.00000000000000000000 0.0050720227
 % Fixed 144 vars to 0 and 5 vars to 1.
 % initially 6 congested vertices:
 % find_congested_components found 1 components:
 %	component 0:	5 verts,	5 edges
  % Final iteration: 0.01/0.00/0.00/0.00/0.00/0.00/0.00

 % Carefully choosing branching variable, nfrac = 3
 % Initial guess is x595, Z0 = 128147.5                , Z1 = 128147.5                

 %	x595 = 0,	Z0 = 128154                  
 %	x595 = 1,	Z1 = 128211.08               
  % @PL 674 rows, 1075 cols, 17338 nonzeros, 0 slack, 674 tight.
  %       0     0        cutoff   128154.0000
 % @LO 2.61 128147.50000000007275957614 0.0050720227
 % @LN 2.61 128154.00000000000000000000 0.0000000000

 % Certificate of solution:
 % @C	3303	2457
 % @C	3088	4045
 % @C	5571	5208
 % @C	1896	1480
 % @C	8031	7302
 % @C	2943	3671
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 % @C	9211	5346
 % @C	9328	5659
 % @C	8665	2389
 % @C	4689	473
 % @C	9276	3322
 % @C	9337	3627
 % @C	8413	6048
 % @C	1073	5905
 % @C	1318	5923
 % @C	1481	5923
 % @C	7921	883
 % @C	8745	9286
 % @C	4618	9662
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 % @C	269	6767
 % @C	3983	8384
 % @C	4272	8384
 % @C	4831	8384
 % @C	4969	8384
 % @C	4206	126
 % @C	9480	6887
 % @C	6376	8418
 % @C	6420	8272
 % @C	8144	319
 % @C	2066	523
 % @C	3436	3073
 % @C	2489	523
 % @C	2757	126
 % @C	3429	126
 % @C	6832	3643
 % @C	4831	7721
 % @C	8823	4713
 % @C	6411	7878
 % @C	9337	4040
 % @C	3721	8954
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 % @C	652	1878
 % @C	854	1808
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 % @C	298	3414
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 % @C	2860	8707
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%%Page: 1 1
BeginPlot
	Plot_Terminals
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	41 T	7921	883	S
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	45 T	4618	9662	C
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