📄 rsmt70.ps
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%!PS-Adobe-3.0%%Creator: Steiner Tree Version 3.1%%Copyright: Copyright (c) 1998, 2001 by David M. Warme%%LanguageLevel: 1%%DocumentNeededResources: font Times-Roman%%DocumentSuppliedResources: procset SteinerTreeProcs 2.0 0%%EndComments%%BeginProlog%%BeginProcSet: SteinerTreeProcs 2.0 0/LabelTerminals 0 def % set non-zero to label terminals/inch { 72 mul } def/PaperWidth 8.5 inch def/PaperHeight 11 inch def/BigBoxSize 7 inch def/SmallBoxSize 2 inch def/SmallBoxHeight SmallBoxSize def/SmallBoxWidth SmallBoxSize def/BoxHeight BigBoxSize def/BoxWidth BigBoxSize def/MinX 0 def/MaxX 1 def/MinY 0 def/MaxY 1 def/BoxMode 0 def % (0 ==> big plot, 1 ==> small plots)/SmallBoxCount 0 def/TermRadius 1 32 div inch def/LineWidth currentlinewidth def% Define the clipping region to be the inside edge of the box./ClipHeight BigBoxSize LineWidth sub def/ClipWidth ClipHeight def% Define the plotting region so that points plotted at the extremes will% exactly meet the edge of the clipping region. (Reduce by the terminal% radius on each side.)/PlotHeight ClipHeight TermRadius 2 mul sub def/PlotWidth ClipWidth TermRadius 2 mul sub def/XlateX { MinX sub MaxX MinX sub div PlotWidth mul } def/XlateY { MinY sub MaxY MinY sub div PlotHeight mul } def/XlateXY { exch XlateX exch XlateY } def/Dup2 { dup 3 -1 roll dup 4 1 roll exch } def/Swap2 { 4 2 roll } def% define the two fonts we will use:% - one for numbering the terminals% - one for printing the plot's title/TermNumPointsize 8 def/TitlePointsize 15 def/TermNumFont /Times-Roman findfont TermNumPointsize scalefontdef/UseTermNumFont { TermNumFont setfont } def/TitleFont /Times-Roman findfont TitlePointsize scalefontdef/UseTitleFont { TitleFont setfont } def/DefineTerminals { /NumTerms exch def /TermX NumTerms array def /TermY NumTerms array def /TermIndex 0 def} def/DT { TermY TermIndex 3 -1 roll put TermX TermIndex 3 -1 roll put /TermIndex TermIndex 1 add def} def/SetAxes { % minx maxx miny maxy /MaxY exch def /MinY exch def /MaxX exch def /MinX exch def} def/PTString 12 string def/Plot_Terminals { LabelTerminals 0 eq { % Display terminals, no labels 0 1 NumTerms 1 sub { % i dup % i i TermX exch get exch % x i TermY exch get newpath XlateXY TermRadius 0 360 arc fill } for } { % Display terminals, with labels 0 1 NumTerms 1 sub { % i dup % i i PTString cvs exch dup % str i i TermX exch get exch % str x i TermY exch get % str x y newpath XlateXY Dup2 TermRadius 0 360 arc fill moveto TermRadius 3 mul dup neg rmoveto UseTermNumFont show } for } ifelse} def% n T ==> Xn Yn, get coordinates of terminal n./T { dup TermX exch get exch TermY exch get} def% Draw a line segment./S { newpath XlateXY moveto XlateXY lineto stroke} def% Draw a corner. First point is incident to vertical segment.% Second point is incident to horizontal segment./C { % x1 y1 x2 y2 newpath % x1 y1 x2 y2 -> x1 y1 x1 y2 x2 y2 4 -1 roll dup 5 1 roll exch dup 4 -1 roll exch XlateXY moveto XlateXY lineto XlateXY lineto stroke} def/BeginPlot { FlushSmallPlot gsave PaperWidth BoxWidth sub 2 div PaperHeight BoxHeight sub 2 div translate newpath 0 0 moveto BoxWidth 0 lineto BoxWidth BoxHeight lineto 0 BoxHeight lineto closepath stroke gsave % establish a clipping region at the inside edge of the box LineWidth 2 div dup moveto ClipWidth 0 rlineto 0 ClipHeight rlineto ClipWidth neg 0 rlineto closepath clip % establish the origin for the plotting region LineWidth 2 div TermRadius add dup translate} def/EndPlot { grestore newpath UseTitleFont 0 0 moveto dup stringwidth pop BigBoxSize exch sub 2 div TitlePointsize -2 mul rmoveto show grestore showpage} def/BeginSmallPlot { gsave .75 inch SmallBoxCount 3 mod SmallBoxWidth .5 inch add mul add .75 inch 3 SmallBoxCount 3 idiv sub SmallBoxHeight .5 inch add mul add translate SmallBoxWidth BoxWidth div SmallBoxHeight BoxHeight div scale newpath 0 0 moveto BoxWidth 0 lineto BoxWidth BoxHeight lineto 0 BoxHeight lineto closepath stroke gsave % establish a clipping region at the inside edge of the box LineWidth 2 div dup moveto ClipWidth 0 rlineto 0 ClipHeight rlineto ClipWidth neg 0 rlineto closepath clip % establish the origin for the plotting region LineWidth 2 div TermRadius add dup translate} def/EndSmallPlot2 { grestore newpath UseTitleFont 0 0 moveto dup stringwidth pop BigBoxSize exch sub 2 div TitlePointsize -2 mul rmoveto show grestore /SmallBoxCount SmallBoxCount 1 add def SmallBoxCount 12 ge { FlushSmallPlot } if} def/FlushSmallPlot { SmallBoxCount 0 gt { showpage /SmallBoxCount 0 def } if} def/PT { dup % i i TermX exch get exch % x i TermY exch get newpath XlateXY TermRadius 0 360 arc fill} def%%EndProcSet%%EndProlog % ./bb % Args: % Phase 1: 0.01 seconds%%BeginSetup0 10000 0 10000 SetAxes70 DefineTerminals 1857 2738 DT 2894 8773 DT 1463 5183 DT 6905 8268 DT 3221 2457 DT 3473 730 DT 2983 4045 DT 5486 5208 DT 815 6755 DT 1875 934 DT 606 7576 DT 6045 4078 DT 9323 8669 DT 7952 2547 DT 303 8201 DT 6131 4811 DT 7871 9452 DT 854 1630 DT 5468 655 DT 7539 7194 DT 2588 3671 DT 5319 3872 DT 4004 3636 DT 8823 9370 DT 2183 4813 DT 4853 437 DT 8935 5346 DT 8461 2389 DT 2920 9868 DT 4339 473 DT 8222 1895 DT 9336 5659 DT 5826 447 DT 8995 3322 DT 3337 1432 DT 7140 4825 DT 7970 3168 DT 1959 6377 DT 8240 6048 DT 953 5905 DT 5779 7114 DT 7741 883 DT 5927 7473 DT 3088 4641 DT 8609 9286 DT 4558 9381 DT 7577 1956 DT 8888 4529 DT 3717 7332 DT 7074 9300 DT 1880 753 DT 8823 4604 DT 255 6767 DT 3610 8398 DT 9728 2393 DT 2860 8228 DT 2032 5977 DT 9534 3627 DT 8144 172 DT 1896 1532 DT 6615 4909 DT 3587 126 DT 2628 2673 DT 9761 9724 DT 1941 1952 DT 5552 6945 DT 3436 3149 DT 4392 4101 DT 6746 2567 DT 9328 6317 DT%%EndSetup % initialize_constraint_pool: 0.00 seconds. % Constraint pool initialized with: % 1 Total degree rows 200 coeffs. % 70 Cutset rows 628 coeffs. % 0 Incompatibility rows 0 coeffs. % 171 2-terminal SEC rows 749 coeffs. % 231 Total rows in pool 71 in LP % @PMEM 231 rows, 1 blocks, 4523 nzfree, 0 nzwasted, 6308 nztotal % build_initial_formulation: 0.00 seconds.% Resuming node 0 % @PAP adding 71 rows, 828 nz to LP % @PL 71 rows, 200 cols, 1028 nonzeros, 26 slack, 45 tight. % @PAP adding 21 rows, 111 nz to LP % @PL 92 rows, 200 cols, 1139 nonzeros, 29 slack, 63 tight. % @PAP adding 14 rows, 68 nz to LP % @PL 106 rows, 200 cols, 1207 nonzeros, 25 slack, 81 tight. % @PAP adding 10 rows, 69 nz to LP % @PL 116 rows, 200 cols, 1276 nonzeros, 29 slack, 87 tight. % @PAP adding 10 rows, 49 nz to LP % @PL 126 rows, 200 cols, 1325 nonzeros, 34 slack, 92 tight. % @PAP adding 4 rows, 11 nz to LP % @PL 130 rows, 200 cols, 1336 nonzeros, 35 slack, 95 tight. % @PAP adding 2 rows, 9 nz to LP % @PL 132 rows, 200 cols, 1345 nonzeros, 34 slack, 98 tight. % @PAP adding 1 rows, 2 nz to LP % @PL 133 rows, 200 cols, 1347 nonzeros, 34 slack, 99 tight. % @PAP adding 1 rows, 4 nz to LP % @PL 134 rows, 200 cols, 1351 nonzeros, 36 slack, 98 tight. % @PAP adding 1 rows, 3 nz to LP % @PL 135 rows, 200 cols, 1354 nonzeros, 36 slack, 99 tight. % @PAP adding 1 rows, 2 nz to LP % @PL 136 rows, 200 cols, 1356 nonzeros, 35 slack, 101 tight. % Node 0 LP 1 Solution, length = 56199.000000, 0.01 0 % 0 fractional variables % @LO 0.01 56199.00000000000000000000 99.9000000000 % @LN 0.01 56199.00000000000000000000 99.9000000000 % @UO 0.01 60393.00000000000000000000 6.9445134370 % @UN 0.01 60393.00000000000000000000 6.9445134370 % @cutset: 7 connected components. % initially 19 congested vertices: % find_congested_components found 6 components: % component 0: 3 verts, 3 edges % component 1: 3 verts, 3 edges % component 2: 3 verts, 3 edges % component 3: 3 verts, 3 edges % component 4: 3 verts, 3 edges % component 5: 3 verts, 3 edges % @D deleting 35 slack rows % @PAP adding 13 rows, 138 nz to LP % @PMEM 244 rows, 1 blocks, 4372 nzfree, 0 nzwasted, 6308 nztotal % @PL 114 rows, 200 cols, 1130 nonzeros, 14 slack, 100 tight. % @PAP adding 1 rows, 2 nz to LP % @PL 115 rows, 200 cols, 1132 nonzeros, 15 slack, 100 tight. % @PAP adding 2 rows, 14 nz to LP % @PL 117 rows, 200 cols, 1146 nonzeros, 15 slack, 102 tight. % @PAP adding 1 rows, 3 nz to LP % @PL 118 rows, 200 cols, 1149 nonzeros, 16 slack, 102 tight. % Node 0 LP 2 Solution, length = 58685.500000, 0.00/0.00/0.00/0.00/0.00/0.00/0.00 13 % 17 fractional variables % @LO 0.01 56199.00000000000000000000 6.9445134370 % @LN 0.01 58685.50000000000000000000 2.8273144239 % @UO 0.02 60393.00000000000000000000 2.8273144239 % @UN 0.02 59685.00000000000000000000 1.6746251152 % @cutset: 2 connected components. % initially 25 congested vertices: % find_congested_components found 4 components: % component 0: 4 verts, 5 edges % component 1: 3 verts, 3 edges % component 2: 3 verts, 4 edges % component 3: 3 verts, 3 edges % @D deleting 16 slack rows % @PAP adding 5 rows, 67 nz to LP % @PMEM 249 rows, 1 blocks, 4300 nzfree, 0 nzwasted, 6308 nztotal % @PL 107 rows, 200 cols, 1099 nonzeros, 5 slack, 102 tight. % @PAP adding 1 rows, 2 nz to LP % @PL 108 rows, 200 cols, 1101 nonzeros, 3 slack, 105 tight. % @PAP adding 3 rows, 13 nz to LP % @PL 111 rows, 200 cols, 1114 nonzeros, 3 slack, 108 tight. % @PAP adding 1 rows, 2 nz to LP % @PL 112 rows, 200 cols, 1116 nonzeros, 4 slack, 108 tight. % @PAP adding 1 rows, 5 nz to LP % @PL 113 rows, 200 cols, 1121 nonzeros, 5 slack, 108 tight. % @PAP adding 1 rows, 4 nz to LP % @PL 114 rows, 200 cols, 1125 nonzeros, 3 slack, 111 tight.
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