Vermischtes
public text v1 · immutablenull -> PRIMAL
PRIMAL -> GOMORY
30 19 18 6 -11
55 6 7 -6 -14
17 -2 -20 17 -6
57 2 -19 6 10
SA5 ZA4
19 18 6 -11
19 18 6 -11
6 7 -6 -14
19 18 6 -11
6 7 -6 -14
-2 -20 17 -6
die koefs:
19 18 6 -11
6 7 -6 -14
-2 -20 17 -6
2 -19 6 10
19 18 6 -11
6 7 -6 -14
-2 -20 17 -6
2 -19 6 10
1 (18/19) (6/19) (-11/19)
0 (25/19) (-150/19) (-200/19)
0 (-344/19) (335/19) (-136/19)
0 (-397/19) (102/19) (212/19)
asd
1 0 6 7
0 1 -6 -8
0 0 -91 -152
0 0 -120 -156
asd
1 0 0 (-275/91)
0 1 0 (184/91)
0 0 1 (152/91)
0 0 0 (4044/91)
asd
GEGAUSST
1 0 0 0
0 1 0 0
0 0 1 0
0 0 0 1
der Rang ist 4 bei 4 Zeilen.
GOMORY
PRIMAL 0 0 0 0 1 0 0 1 1
x0 x1 x2 x3 k1 s1 s2 k2 k3
1 k1 *19* 18 6 -11 1 0 0 0 0 30 (30/19)
0 s1 6 7 -6 -14 0 1 0 0 0 55 (55/6)
1 k2 -2 -20 17 -6 0 0 -1 1 0 17 --
1 k3 2 -19 6 10 0 0 0 0 1 57 (57/2)
19 -21 29 -7 0 0 -1 0 0 104
Die Basis wandert von k1 nach x0.
PRIMAL 0 0 0 0 1 0 0 1 1
x0 x1 x2 x3 k1 s1 s2 k2 k3
0 x0 1 (18/19) (6/19) (-11/19) (1/19) 0 0 0 0 (30/19) 5
0 s1 0 (25/19)(-150/19)(-200/19) (-6/19) 1 0 0 0 (865/19) --
1 k2 0(-344/19)*(335/19)*(-136/19) (2/19) 0 -1 1 0 (383/19)(383/335)
1 k3 0(-397/19) (102/19) (212/19) (-2/19) 0 0 0 1(1023/19) (341/34)
0 -39 23 4 -1 0 -1 0 0 74
Die Basis wandert von k2 nach x2.
PRIMAL 0 0 0 0 1 0 0 1 1
x0 x1 x2 x3 k1 s1 s2 k2 k3
0 x0 1(426/335) 0(-151/335) (17/335) 0 (6/335) (-6/335) 0(408/335) --
0 s1 0(-455/67) 0(-920/67) (-18/67) 1 (-30/67) (30/67) 0(3655/67) --
0 x2 0(-344/335) 1(-136/335) (2/335) 0(-19/335) (19/335) 0(383/335) --
1 k3 0(-5153/335) 0*(4468/335)*(-46/335) 0(102/335)(-102/335) 1(15981/335)(15981/4468)
0(-5153/335) 0(4468/335)(-381/335) 0(102/335)(-437/335) 0(15981/335)
Die Basis wandert von k3 nach x3.
PRIMAL 0 0 0 0 1 0 0 1 1
x0 x1 x2 x3 k1 s1 s2 k2 k3
0 x0 1(3359/4468) 0 0(103/2234) 0(63/2234)(-63/2234)(151/4468)(12645/4468) --
0 s1 0(-25275/1117) 0 0(-458/1117) 1(-150/1117)(150/1117)(1150/1117)(115795/1117) --
0 x2 0(-1670/1117) 1 0 (2/1117) 0(-53/1117)(53/1117)(34/1117)(2899/1117) --
0 x3 0(-5153/4468) 0 1(-23/2234) 0(51/2234)(-51/2234)(335/4468)(15981/4468) --
0 0 0 0 -1 0 0 -1 -1 0
Die 1. Phase ist nun beendet. Alle künstlichen Variablen haben die Basis verlassen.
PRIMAL -6 5 2 3 0 0
x0 x1 x2 x3 s1 s2
-6 x0 1(3359/4468) 0 0 0(63/2234)(12645/4468) --
0 s1 0(-25275/1117) 0 0 1(-150/1117)(115795/1117) --
2 x2 0(-1670/1117) 1 0 0(-53/1117)(2899/1117) --
3 x3 0(-5153/4468) 0 1 0(51/2234)(15981/4468) --
0(-71313/4468) 0 0 0(-437/2234)(-4735/4468)
Es liegt nun die nicht ganzzahlige Lösung des Problems vor.
DUAL -6 5 0 0 2 3 0
x0 x1 s2 s1 x2 x3 g1
-6 x0 1(3359/4468)(63/2234) 0 0 0 0(12645/4468)
0 s1 0(-25275/1117)(-150/1117) 1 0 0 0(115795/1117)
2 x2 0(-1670/1117)(-53/1117) 0 1 0 0(2899/1117)
3 x3 0(-5153/4468)(51/2234) 0 0 1 0(15981/4468)
0 g1 0(-3359/4468)*(-63/2234)* 0 0 0 1(-3709/4468)
0(-71313/4468)(-437/2234) 0 0 0 0(-4735/4468)
--(71313/3359) (437/63) -- -- -- --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-3359/4468)·x1 + (-63/2234)·s2 + g1 = (-3709/4468)
DUAL -6 5 0 0 2 3 0
x0 x1 s2 s1 x2 x3 g1
-6 x0 1 0 0 0 0 0 1 2
0 s1 0(-400/21) 0 1 0 0(-100/21)(2260/21)
2 x2 0(-29/126) 0 0 1 0(-106/63)(503/126)
3 x3 0 (-37/21) 0 0 0 1 (17/21) (61/21)
0 s2 0(3359/126) 1 0 0 0(-2234/63)(3709/126)
0(-677/63) 0 0 0 0(-437/63) (296/63)
-- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0
x0 x1 s2 s1 x2 x3 g1 g2
-6 x0 1 0 0 0 0 0 1 0 2
0 s1 0(-400/21) 0 1 0 0(-100/21) 0(2260/21)
2 x2 0(-29/126) 0 0 1 0(-106/63) 0(503/126)
3 x3 0 (-37/21) 0 0 0 1 (17/21) 0 (61/21)
0 s2 0(3359/126) 1 0 0 0(-2234/63) 0(3709/126)
0 g2 0*(-20/21)* 0 0 0 0 (-5/21) 1 (-13/21)
0(-677/63) 0 0 0 0(-437/63) 0 (296/63)
-- (677/60) -- -- -- -- (437/15) --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-20/21)·x1 + (-5/21)·g1 + g2 = (-13/21)
DUAL -6 5 0 0 2 3 0 0
x0 x1 s2 s1 x2 x3 g1 g2
-6 x0 1 0 0 0 0 0 1 0 2
0 s1 0 0 0 1 0 0 0 -20 120
2 x2 0 0 0 0 1 0 (-13/8)(-29/120)(497/120)
3 x3 0 0 0 0 0 1 (5/4) (-37/20) (81/20)
0 s2 0 0 1 0 0 0 (-337/8)(3359/120)(1453/120)
5 x1 0 1 0 0 0 0 (1/4) (-21/20) (13/20)
0 0 0 0 0 0 (-17/4)(-677/60) (701/60)
-- -- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3
-6 x0 1 0 0 0 0 0 1 0 0 2
0 s1 0 0 0 1 0 0 0 -20 0 120
2 x2 0 0 0 0 1 0 (-13/8)(-29/120) 0(497/120)
3 x3 0 0 0 0 0 1 (5/4) (-37/20) 0 (81/20)
0 s2 0 0 1 0 0 0 (-337/8)(3359/120) 0(1453/120)
5 x1 0 1 0 0 0 0 (1/4) (-21/20) 0 (13/20)
0 g3 0 0 0 0 0 0 *(-3/8)*(-91/120) 1(-17/120)
0 0 0 0 0 0 (-17/4)(-677/60) 0 (701/60)
-- -- -- -- -- -- (34/3)(1354/91) --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-3/8)·g1 + (-91/120)·g2 + g3 = (-17/120)
DUAL -6 5 0 0 2 3 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3
-6 x0 1 0 0 0 0 0 0 (-91/45) (8/3) (73/45)
0 s1 0 0 0 1 0 0 0 -20 0 120
2 x2 0 0 0 0 1 0 0 (137/45) (-13/3) (214/45)
3 x3 0 0 0 0 0 1 0(-197/45) (10/3) (161/45)
0 s2 0 0 1 0 0 0 0(5093/45) (-337/3)(1261/45)
5 x1 0 1 0 0 0 0 0 (-14/9) (2/3) (5/9)
0 g1 0 0 0 0 0 0 1 (91/45) (-8/3) (17/45)
0 0 0 0 0 0 0(-121/45) (-34/3) (598/45)
-- -- -- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4
-6 x0 1 0 0 0 0 0 0 (-91/45) (8/3) 0 (73/45)
0 s1 0 0 0 1 0 0 0 -20 0 0 120
2 x2 0 0 0 0 1 0 0 (137/45) (-13/3) 0 (214/45)
3 x3 0 0 0 0 0 1 0(-197/45) (10/3) 0 (161/45)
0 s2 0 0 1 0 0 0 0(5093/45) (-337/3) 0(1261/45)
5 x1 0 1 0 0 0 0 0 (-14/9) (2/3) 0 (5/9)
0 g1 0 0 0 0 0 0 1 (91/45) (-8/3) 0 (17/45)
0 g4 0 0 0 0 0 0 0*(-44/45)* (-2/3) 1 (-28/45)
0 0 0 0 0 0 0(-121/45) (-34/3) 0 (598/45)
-- -- -- -- -- -- -- (11/4) 17 --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-44/45)·g2 + (-2/3)·g3 + g4 = (-28/45)
DUAL -6 5 0 0 2 3 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4
-6 x0 1 0 0 0 0 0 0 0 (89/22) (-91/44) (32/11)
0 s1 0 0 0 1 0 0 0 0 (150/11)(-225/11)(1460/11)
2 x2 0 0 0 0 1 0 0 0(-141/22) (137/44) (31/11)
3 x3 0 0 0 0 0 1 0 0 (139/22)(-197/44) (70/11)
0 s2 0 0 1 0 0 0 0 0*(-379/2)* (463/4) -44
5 x1 0 1 0 0 0 0 0 0 (19/11) (-35/22) (17/11)
0 g1 0 0 0 0 0 0 1 0 (-89/22) (91/44) (-10/11)
0 g2 0 0 0 0 0 0 0 1 (15/22) (-45/44) (7/11)
0 0 0 0 0 0 0 0 (-19/2) (-11/4) 15
-- -- -- -- -- -- -- -- (19/379) --
DUAL -6 5 0 0 2 3 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4
-6 x0 1 0(89/4169) 0 0 0 0 0 0(3359/8338)(8212/4169)
0 s1 0 0(300/4169) 1 0 0 0 0 0(-50550/4169)(540140/4169)
2 x2 0 0(-141/4169) 0 1 0 0 0 0(-3340/4169)(17953/4169)
3 x3 0 0(139/4169) 0 0 1 0 0 0(-5153/8338)(20414/4169)
0 g3 0 0 (-2/379) 0 0 0 0 0 1(-463/758) (88/379)
5 x1 0 1(38/4169) 0 0 0 0 0 0(-2234/4169)(4771/4169)
0 g1 0 0(-89/4169) 0 0 0 1 0 0(-3359/8338)(126/4169)
0 g2 0 0(15/4169) 0 0 0 0 1 0(-5055/8338)(1993/4169)
0 0(-19/379) 0 0 0 0 0 0(-6483/758)(6521/379)
-- -- -- -- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5
-6 x0 1 0(89/4169) 0 0 0 0 0 0(3359/8338) 0(8212/4169)
0 s1 0 0(300/4169) 1 0 0 0 0 0(-50550/4169) 0(540140/4169)
2 x2 0 0(-141/4169) 0 1 0 0 0 0(-3340/4169) 0(17953/4169)
3 x3 0 0(139/4169) 0 0 1 0 0 0(-5153/8338) 0(20414/4169)
0 g3 0 0 (-2/379) 0 0 0 0 0 1(-463/758) 0 (88/379)
5 x1 0 1(38/4169) 0 0 0 0 0 0(-2234/4169) 0(4771/4169)
0 g1 0 0(-89/4169) 0 0 0 1 0 0(-3359/8338) 0(126/4169)
0 g2 0 0(15/4169) 0 0 0 0 1 0(-5055/8338) 0(1993/4169)
0 g5 0 0*(-89/4169)* 0 0 0 0 0 0(-3359/8338) 1(-4043/4169)
0 0(-19/379) 0 0 0 0 0 0(-6483/758) 0(6521/379)
-- -- (209/89) -- -- -- -- -- --(71313/3359) --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-89/4169)·s2 + (-3359/8338)·g4 + g5 = (-4043/4169)
DUAL -6 5 0 0 2 3 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5
-6 x0 1 0 0 0 0 0 0 0 0 0 1 1
0 s1 0 0 0 1 0 0 0 0 0(-1200/89) (300/89)(11240/89)
2 x2 0 0 0 0 1 0 0 0 0(-29/178)(-141/89) (520/89)
3 x3 0 0 0 0 0 1 0 0 0(-111/89) (139/89) (301/89)
0 g3 0 0 0 0 0 0 0 0 1(-91/178) (-22/89) (42/89)
5 x1 0 1 0 0 0 0 0 0 0 (-63/89) (38/89) (65/89)
0 g1 0 0 0 0 0 0 1 0 0 0 -1 1
0 g2 0 0 0 0 0 0 0 1 0 (-60/89) (15/89) (28/89)
0 s2 0 0 1 0 0 0 0 0 0(3359/178)(-4169/89)(4043/89)
0 0 0 0 0 0 0 0 0(-677/89)(-209/89)(1734/89)
-- -- -- -- -- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6
-6 x0 1 0 0 0 0 0 0 0 0 0 1 0 1
0 s1 0 0 0 1 0 0 0 0 0(-1200/89) (300/89) 0(11240/89)
2 x2 0 0 0 0 1 0 0 0 0(-29/178)(-141/89) 0 (520/89)
3 x3 0 0 0 0 0 1 0 0 0(-111/89) (139/89) 0 (301/89)
0 g3 0 0 0 0 0 0 0 0 1(-91/178) (-22/89) 0 (42/89)
5 x1 0 1 0 0 0 0 0 0 0 (-63/89) (38/89) 0 (65/89)
0 g1 0 0 0 0 0 0 1 0 0 0 -1 0 1
0 g2 0 0 0 0 0 0 0 1 0 (-60/89) (15/89) 0 (28/89)
0 s2 0 0 1 0 0 0 0 0 0(3359/178)(-4169/89) 0(4043/89)
0 g6 0 0 0 0 0 0 0 0 0 (-46/89)*(-33/89)* 1 (-26/89)
0 0 0 0 0 0 0 0 0(-677/89)(-209/89) 0(1734/89)
-- -- -- -- -- -- -- -- -- (677/46) (19/3) --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-46/89)·g4 + (-33/89)·g5 + g6 = (-26/89)
DUAL -6 5 0 0 2 3 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6
-6 x0 1 0 0 0 0 0 0 0 0 (-46/33) 0 (89/33) (7/33)
0 s1 0 0 0 1 0 0 0 0 0(-200/11) 0 (100/11)(1360/11)
2 x2 0 0 0 0 1 0 0 0 0 (45/22) 0 (-47/11) (78/11)
3 x3 0 0 0 0 0 1 0 0 0(-113/33) 0 (139/33) (71/33)
0 g3 0 0 0 0 0 0 0 0 1 (-1/6) 0 (-2/3) (2/3)
5 x1 0 1 0 0 0 0 0 0 0 (-43/33) 0 (38/33) (13/33)
0 g1 0 0 0 0 0 0 1 0 0 (46/33) 0 (-89/33) (59/33)
0 g2 0 0 0 0 0 0 0 1 0 (-10/11) 0 (5/11) (2/11)
0 s2 0 0 1 0 0 0 0 0 0 (505/6) 0 (-379/3) (247/3)
0 g5 0 0 0 0 0 0 0 0 0 (46/33) 1 (-89/33) (26/33)
0 0 0 0 0 0 0 0 0 (-13/3) 0 (-19/3) (64/3)
-- -- -- -- -- -- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7
-6 x0 1 0 0 0 0 0 0 0 0 (-46/33) 0 (89/33) 0 (7/33)
0 s1 0 0 0 1 0 0 0 0 0(-200/11) 0 (100/11) 0(1360/11)
2 x2 0 0 0 0 1 0 0 0 0 (45/22) 0 (-47/11) 0 (78/11)
3 x3 0 0 0 0 0 1 0 0 0(-113/33) 0 (139/33) 0 (71/33)
0 g3 0 0 0 0 0 0 0 0 1 (-1/6) 0 (-2/3) 0 (2/3)
5 x1 0 1 0 0 0 0 0 0 0 (-43/33) 0 (38/33) 0 (13/33)
0 g1 0 0 0 0 0 0 1 0 0 (46/33) 0 (-89/33) 0 (59/33)
0 g2 0 0 0 0 0 0 0 1 0 (-10/11) 0 (5/11) 0 (2/11)
0 s2 0 0 1 0 0 0 0 0 0 (505/6) 0 (-379/3) 0 (247/3)
0 g5 0 0 0 0 0 0 0 0 0 (46/33) 1 (-89/33) 0 (26/33)
0 g7 0 0 0 0 0 0 0 0 0*(-20/33)* 0 (-23/33) 1 (-7/33)
0 0 0 0 0 0 0 0 0 (-13/3) 0 (-19/3) 0 (64/3)
-- -- -- -- -- -- -- -- -- (143/20) -- (209/23) --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-20/33)·g4 + (-23/33)·g6 + g7 = (-7/33)
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7
-6 x0 1 0 0 0 0 0 0 0 0 0 0 (43/10) (-23/10) (7/10)
0 s1 0 0 0 1 0 0 0 0 0 0 0 30 -30 130
2 x2 0 0 0 0 1 0 0 0 0 0 0 (-53/8) (27/8) (51/8)
3 x3 0 0 0 0 0 1 0 0 0 0 0 (163/20)(-113/20) (67/20)
0 g3 0 0 0 0 0 0 0 0 1 0 0 (-19/40) (-11/40) (29/40)
5 x1 0 1 0 0 0 0 0 0 0 0 0 (53/20) (-43/20) (17/20)
0 g1 0 0 0 0 0 0 1 0 0 0 0 (-43/10) (23/10) (13/10)
0 g2 0 0 0 0 0 0 0 1 0 0 0 (3/2) (-3/2) (1/2)
0 s2 0 0 1 0 0 0 0 0 0 0 0(-1785/8) (1111/8) (423/8)
0 g5 0 0 0 0 0 0 0 0 0 0 1 (-43/10) (23/10) (3/10)
0 g4 0 0 0 0 0 0 0 0 0 1 0 (23/20) (-33/20) (7/20)
0 0 0 0 0 0 0 0 0 0 0 (-27/20)(-143/20) (457/20)
-- -- -- -- -- -- -- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8
-6 x0 1 0 0 0 0 0 0 0 0 0 0 (43/10) (-23/10) 0 (7/10)
0 s1 0 0 0 1 0 0 0 0 0 0 0 30 -30 0 130
2 x2 0 0 0 0 1 0 0 0 0 0 0 (-53/8) (27/8) 0 (51/8)
3 x3 0 0 0 0 0 1 0 0 0 0 0 (163/20)(-113/20) 0 (67/20)
0 g3 0 0 0 0 0 0 0 0 1 0 0 (-19/40) (-11/40) 0 (29/40)
5 x1 0 1 0 0 0 0 0 0 0 0 0 (53/20) (-43/20) 0 (17/20)
0 g1 0 0 0 0 0 0 1 0 0 0 0 (-43/10) (23/10) 0 (13/10)
0 g2 0 0 0 0 0 0 0 1 0 0 0 (3/2) (-3/2) 0 (1/2)
0 s2 0 0 1 0 0 0 0 0 0 0 0(-1785/8) (1111/8) 0 (423/8)
0 g5 0 0 0 0 0 0 0 0 0 0 1 (-43/10) (23/10) 0 (3/10)
0 g4 0 0 0 0 0 0 0 0 0 1 0 (23/20) (-33/20) 0 (7/20)
0 g8 0 0 0 0 0 0 0 0 0 0 0*(-3/10)* (-7/10) 1 (-7/10)
0 0 0 0 0 0 0 0 0 0 0 (-27/20)(-143/20) 0 (457/20)
-- -- -- -- -- -- -- -- -- -- -- (9/2) (143/14) --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-3/10)·g6 + (-7/10)·g7 + g8 = (-7/10)
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8
-6 x0 1 0 0 0 0 0 0 0 0 0 0 0 (-37/3) (43/3) (-28/3)
0 s1 0 0 0 1 0 0 0 0 0 0 0 0 -100 100 60
2 x2 0 0 0 0 1 0 0 0 0 0 0 0 (113/6)(-265/12) (131/6)
3 x3 0 0 0 0 0 1 0 0 0 0 0 0*(-74/3)* (163/6) (-47/3)
0 g3 0 0 0 0 0 0 0 0 1 0 0 0 (5/6) (-19/12) (11/6)
5 x1 0 1 0 0 0 0 0 0 0 0 0 0 (-25/3) (53/6) (-16/3)
0 g1 0 0 0 0 0 0 1 0 0 0 0 0 (37/3) (-43/3) (34/3)
0 g2 0 0 0 0 0 0 0 1 0 0 0 0 -5 5 -3
0 s2 0 0 1 0 0 0 0 0 0 0 0 0 (1319/2)(-2975/4) (1147/2)
0 g5 0 0 0 0 0 0 0 0 0 0 1 0 (37/3) (-43/3) (31/3)
0 g4 0 0 0 0 0 0 0 0 0 1 0 0 (-13/3) (23/6) (-7/3)
0 g6 0 0 0 0 0 0 0 0 0 0 0 1 (7/3) (-10/3) (7/3)
0 0 0 0 0 0 0 0 0 0 0 0 -4 (-9/2) 26
-- -- -- -- -- -- -- -- -- -- -- -- (6/37) --
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8
-6 x0 1 0 0 0 0 *(-1/2)* 0 0 0 0 0 0 0 (3/4) (-3/2)
0 s1 0 0 0 1 0(-150/37) 0 0 0 0 0 0 0(-375/37)(4570/37)
2 x2 0 0 0 0 1(113/148) 0 0 0 0 0 0 0(-397/296)(1461/148)
0 g7 0 0 0 0 0 (-3/74) 0 0 0 0 0 0 1(-163/148) (47/74)
0 g3 0 0 0 0 0 (5/148) 0 0 1 0 0 0 0(-197/296)(193/148)
5 x1 0 1 0 0 0 (-25/74) 0 0 0 0 0 0 0(-51/148) (-3/74)
0 g1 0 0 0 0 0 (1/2) 1 0 0 0 0 0 0 (-3/4) (7/2)
0 g2 0 0 0 0 0 (-15/74) 0 1 0 0 0 0 0(-75/148) (13/74)
0 s2 0 0 1 0 0(3957/148) 0 0 0 0 0 0 0(-5153/296)(22885/148)
0 g5 0 0 0 0 0 (1/2) 0 0 0 0 1 0 0 (-3/4) (5/2)
0 g4 0 0 0 0 0 (-13/74) 0 0 0 1 0 0 0(-139/148) (31/74)
0 g6 0 0 0 0 0 (7/74) 0 0 0 0 0 1 0(-113/148) (63/74)
0 0 0 0 0 (-6/37) 0 0 0 0 0 0 0(-659/74)(1056/37)
-- -- -- -- -- (12/37) -- -- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8
3 x3 -2 0 0 0 0 1 0 0 0 0 0 0 0 (-3/2) 3
0 s1(-300/37) 0 0 1 0 0 0 0 0 0 0 0 0(-600/37)(5020/37)
2 x2 (113/74) 0 0 0 1 0 0 0 0 0 0 0 0(-29/148) (561/74)
0 g7 (-3/37) 0 0 0 0 0 0 0 0 0 0 0 1 (-43/37) (28/37)
0 g3 (5/74) 0 0 0 0 0 0 0 1 0 0 0 0(-91/148) (89/74)
5 x1 (-25/37) 1 0 0 0 0 0 0 0 0 0 0 0 (-63/74) (36/37)
0 g1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 2
0 g2 (-15/37) 0 0 0 0 0 0 1 0 0 0 0 0 (-30/37) (29/37)
0 s2(3957/74) 0 1 0 0 0 0 0 0 0 0 0 0(3359/148)(5507/74)
0 g5 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1
0 g4 (-13/37) 0 0 0 0 0 0 0 0 1 0 0 0 (-89/74) (35/37)
0 g6 (7/37) 0 0 0 0 0 0 0 0 0 0 1 0 (-23/37) (21/37)
(-12/37) 0 0 0 0 0 0 0 0 0 0 0 0(-677/74)(1074/37)
-- -- -- -- -- -- -- -- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8 g9
3 x3 -2 0 0 0 0 1 0 0 0 0 0 0 0 (-3/2) 0 3
0 s1(-300/37) 0 0 1 0 0 0 0 0 0 0 0 0(-600/37) 0(5020/37)
2 x2 (113/74) 0 0 0 1 0 0 0 0 0 0 0 0(-29/148) 0 (561/74)
0 g7 (-3/37) 0 0 0 0 0 0 0 0 0 0 0 1 (-43/37) 0 (28/37)
0 g3 (5/74) 0 0 0 0 0 0 0 1 0 0 0 0(-91/148) 0 (89/74)
5 x1 (-25/37) 1 0 0 0 0 0 0 0 0 0 0 0 (-63/74) 0 (36/37)
0 g1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2
0 g2 (-15/37) 0 0 0 0 0 0 1 0 0 0 0 0 (-30/37) 0 (29/37)
0 s2(3957/74) 0 1 0 0 0 0 0 0 0 0 0 0(3359/148) 0(5507/74)
0 g5 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1
0 g4 (-13/37) 0 0 0 0 0 0 0 0 1 0 0 0 (-89/74) 0 (35/37)
0 g6 (7/37) 0 0 0 0 0 0 0 0 0 0 1 0 (-23/37) 0 (21/37)
0 g9*(-33/37)* 0 0 0 0 0 0 0 0 0 0 0 0 (-29/37) 1 (-25/37)
(-12/37) 0 0 0 0 0 0 0 0 0 0 0 0(-677/74) 0(1074/37)
(4/11) -- -- -- -- -- -- -- -- -- -- -- -- (677/58) --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-33/37)·x0 + (-29/37)·g8 + g9 = (-25/37)
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8 g9
3 x3 0 0 0 0 0 1 0 0 0 0 0 0 0 (17/66) (-74/33) (149/33)
0 s1 0 0 0 1 0 0 0 0 0 0 0 0 0(-100/11)(-100/11)(1560/11)
2 x2 0 0 0 0 1 0 0 0 0 0 0 0 0(-203/132) (113/66) (212/33)
0 g7 0 0 0 0 0 0 0 0 0 0 0 0 1 (-12/11) (-1/11) (9/11)
0 g3 0 0 0 0 0 0 0 0 1 0 0 0 0(-89/132) (5/66) (38/33)
5 x1 0 1 0 0 0 0 0 0 0 0 0 0 0 (-17/66) (-25/33) (49/33)
0 g1 0 0 0 0 0 0 1 0 0 0 0 0 0 (-29/33) (37/33) (41/33)
0 g2 0 0 0 0 0 0 0 1 0 0 0 0 0 (-5/11) (-5/11) (12/11)
0 s2 0 0 1 0 0 0 0 0 0 0 0 0 0(-1069/44)(1319/22) (373/11)
0 g5 0 0 0 0 0 0 0 0 0 0 1 0 0 (-29/33) (37/33) (8/33)
0 g4 0 0 0 0 0 0 0 0 0 1 0 0 0 (-59/66) (-13/33) (40/33)
0 g6 0 0 0 0 0 0 0 0 0 0 0 1 0 (-26/33) (7/33) (14/33)
-6 x0 1 0 0 0 0 0 0 0 0 0 0 0 0 (29/33) (-37/33) (25/33)
0 0 0 0 0 0 0 0 0 0 0 0 0(-195/22) (-4/11) (322/11)
-- -- -- -- -- -- -- -- -- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8 g9 g10
3 x3 0 0 0 0 0 1 0 0 0 0 0 0 0 (17/66) (-74/33) 0 (149/33)
0 s1 0 0 0 1 0 0 0 0 0 0 0 0 0(-100/11)(-100/11) 0(1560/11)
2 x2 0 0 0 0 1 0 0 0 0 0 0 0 0(-203/132) (113/66) 0 (212/33)
0 g7 0 0 0 0 0 0 0 0 0 0 0 0 1 (-12/11) (-1/11) 0 (9/11)
0 g3 0 0 0 0 0 0 0 0 1 0 0 0 0(-89/132) (5/66) 0 (38/33)
5 x1 0 1 0 0 0 0 0 0 0 0 0 0 0 (-17/66) (-25/33) 0 (49/33)
0 g1 0 0 0 0 0 0 1 0 0 0 0 0 0 (-29/33) (37/33) 0 (41/33)
0 g2 0 0 0 0 0 0 0 1 0 0 0 0 0 (-5/11) (-5/11) 0 (12/11)
0 s2 0 0 1 0 0 0 0 0 0 0 0 0 0(-1069/44)(1319/22) 0 (373/11)
0 g5 0 0 0 0 0 0 0 0 0 0 1 0 0 (-29/33) (37/33) 0 (8/33)
0 g4 0 0 0 0 0 0 0 0 0 1 0 0 0 (-59/66) (-13/33) 0 (40/33)
0 g6 0 0 0 0 0 0 0 0 0 0 0 1 0 (-26/33) (7/33) 0 (14/33)
-6 x0 1 0 0 0 0 0 0 0 0 0 0 0 0 (29/33) (-37/33) 0 (25/33)
0 g10 0 0 0 0 0 0 0 0 0 0 0 0 0 (-17/66)*(-25/33)* 1 (-17/33)
0 0 0 0 0 0 0 0 0 0 0 0 0(-195/22) (-4/11) 0 (322/11)
-- -- -- -- -- -- -- -- -- -- -- -- -- (585/17) (12/25) --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-17/66)·g8 + (-25/33)·g9 + g10 = (-17/33)
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8 g9 g10
3 x3 0 0 0 0 0 1 0 0 0 0 0 0 0 (51/50) 0 (-74/25) (151/25)
0 s1 0 0 0 1 0 0 0 0 0 0 0 0 0 -6 0 -12 148
2 x2 0 0 0 0 1 0 0 0 0 0 0 0 0 (-53/25) 0 (113/50) (263/50)
0 g7 0 0 0 0 0 0 0 0 0 0 0 0 1 (-53/50) 0 (-3/25) (22/25)
0 g3 0 0 0 0 0 0 0 0 1 0 0 0 0 (-7/10) 0 (1/10) (11/10)
5 x1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2
0 g1 0 0 0 0 0 0 1 0 0 0 0 0 0 (-63/50) 0 (37/25) (12/25)
0 g2 0 0 0 0 0 0 0 1 0 0 0 0 0 (-3/10) 0 (-3/5) (7/5)
0 s2 0 0 1 0 0 0 0 0 0 0 0 0 0*(-1117/25)* 0(3957/50)(-343/50)
0 g5 0 0 0 0 0 0 0 0 0 0 1 0 0 (-63/50) 0 (37/25) (-13/25)
0 g4 0 0 0 0 0 0 0 0 0 1 0 0 0 (-19/25) 0 (-13/25) (37/25)
0 g6 0 0 0 0 0 0 0 0 0 0 0 1 0 (-43/50) 0 (7/25) (7/25)
-6 x0 1 0 0 0 0 0 0 0 0 0 0 0 0 (63/50) 0 (-37/25) (38/25)
0 g9 0 0 0 0 0 0 0 0 0 0 0 0 0 (17/50) 1 (-33/25) (17/25)
0 0 0 0 0 0 0 0 0 0 0 0 0(-437/50) 0 (-12/25) (738/25)
-- -- -- -- -- -- -- -- -- -- -- -- --(437/2234) -- --
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8 g9 g10
3 x3 0 0(51/2234) 0 0 1 0 0 0 0 0 0 0 0 0(-5153/4468)(26287/4468)
0 s1 0 0(-150/1117) 1 0 0 0 0 0 0 0 0 0 0 0(-25275/1117)(166345/1117)
2 x2 0 0(-53/1117) 0 1 0 0 0 0 0 0 0 0 0 0(-1670/1117)(6239/1117)
0 g7 0 0(-53/2234) 0 0 0 0 0 0 0 0 0 1 0 0(-8925/4468)(4659/4468)
0 g3 0 0(-35/2234) 0 0 0 0 0 1 0 0 0 0 0 0(-5093/4468)(5395/4468)
5 x1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2
0 g1 0 0(-63/2234) 0 0 0 1 0 0 0 0 0 0 0 0(-3359/4468)(3009/4468)
0 g2 0 0(-15/2234) 0 0 0 0 1 0 0 0 0 0 0 0(-5055/4468)(6461/4468)
0 g8 0 0(-25/1117) 0 0 0 0 0 0 0 0 0 0 1 0(-3957/2234)(343/2234)
0 g5 0 0*(-63/2234)* 0 0 0 0 0 0 0 1 0 0 0 0(-3359/4468)(-1459/4468)
0 g4 0 0(-19/1117) 0 0 0 0 0 0 1 0 0 0 0 0(-4169/2234)(3567/2234)
0 g6 0 0(-43/2234) 0 0 0 0 0 0 0 0 1 0 0 0(-5555/4468)(1841/4468)
-6 x0 1 0(63/2234) 0 0 0 0 0 0 0 0 0 0 0 0(3359/4468)(5927/4468)
0 g9 0 0(17/2234) 0 0 0 0 0 0 0 0 0 0 0 1(-3207/4468)(2805/4468)
0 0(-437/2234) 0 0 0 0 0 0 0 0 0 0 0 0(-71313/4468)(137891/4468)
-- -- (437/63) -- -- -- -- -- -- -- -- -- -- -- --(71313/3359)
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8 g9 g10
3 x3 0 0 0 0 0 1 0 0 0 0 (17/21) 0 0 0 0 (-37/21) (118/21)
0 s1 0 0 0 1 0 0 0 0 0 0(-100/21) 0 0 0 0(-400/21)(3160/21)
2 x2 0 0 0 0 1 0 0 0 0 0(-106/63) 0 0 0 0(-29/126)(773/126)
0 g7 0 0 0 0 0 0 0 0 0 0 (-53/63) 0 1 0 0 (-86/63) (83/63)
0 g3 0 0 0 0 0 0 0 0 1 0 (-5/9) 0 0 0 0 (-13/18) (25/18)
5 x1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 2
0 g1 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 1
0 g2 0 0 0 0 0 0 0 1 0 0 (-5/21) 0 0 0 0 (-20/21) (32/21)
0 g8 0 0 0 0 0 0 0 0 0 0 (-50/63) 0 0 1 0 (-74/63) (26/63)
0 s2 0 0 1 0 0 0 0 0 0 0(-2234/63) 0 0 0 0(3359/126)(1459/126)
0 g4 0 0 0 0 0 0 0 0 0 1 (-38/63) 0 0 0 0 (-89/63) (113/63)
0 g6 0 0 0 0 0 0 0 0 0 0 (-43/63) 1 0 0 0 (-46/63) (40/63)
-6 x0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1
0 g9 0 0 0 0 0 0 0 0 0 0 (17/63) 0 0 0 1 (-58/63) (34/63)
0 0 0 0 0 0 0 0 0 0(-437/63) 0 0 0 0(-677/63)(2087/63)
-- -- -- -- -- -- -- -- -- -- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8 g9 g10 g11
3 x3 0 0 0 0 0 1 0 0 0 0 (17/21) 0 0 0 0 (-37/21) 0 (118/21)
0 s1 0 0 0 1 0 0 0 0 0 0(-100/21) 0 0 0 0(-400/21) 0(3160/21)
2 x2 0 0 0 0 1 0 0 0 0 0(-106/63) 0 0 0 0(-29/126) 0(773/126)
0 g7 0 0 0 0 0 0 0 0 0 0 (-53/63) 0 1 0 0 (-86/63) 0 (83/63)
0 g3 0 0 0 0 0 0 0 0 1 0 (-5/9) 0 0 0 0 (-13/18) 0 (25/18)
5 x1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 2
0 g1 0 0 0 0 0 0 1 0 0 0 -1 0 0 0 0 0 0 1
0 g2 0 0 0 0 0 0 0 1 0 0 (-5/21) 0 0 0 0 (-20/21) 0 (32/21)
0 g8 0 0 0 0 0 0 0 0 0 0 (-50/63) 0 0 1 0 (-74/63) 0 (26/63)
0 s2 0 0 1 0 0 0 0 0 0 0(-2234/63) 0 0 0 0(3359/126) 0(1459/126)
0 g4 0 0 0 0 0 0 0 0 0 1 (-38/63) 0 0 0 0 (-89/63) 0 (113/63)
0 g6 0 0 0 0 0 0 0 0 0 0 (-43/63) 1 0 0 0 (-46/63) 0 (40/63)
-6 x0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1
0 g9 0 0 0 0 0 0 0 0 0 0 (17/63) 0 0 0 1 (-58/63) 0 (34/63)
0 g11 0 0 0 0 0 0 0 0 0 0*(-17/21)* 0 0 0 0 (-5/21) 1 (-13/21)
0 0 0 0 0 0 0 0 0 0(-437/63) 0 0 0 0(-677/63) 0(2087/63)
-- -- -- -- -- -- -- -- -- -- (437/51) -- -- -- -- (677/15) --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-17/21)·g5 + (-5/21)·g10 + g11 = (-13/21)
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8 g9 g10 g11
3 x3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 -2 1 5
0 s1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0(-300/17)(-100/17)(2620/17)
2 x2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 (9/34)(-106/51)(757/102)
0 g7 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 (-19/17) (-53/51) (100/51)
0 g3 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 (-19/34) (-35/51)(185/102)
5 x1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 2
0 g1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 (5/17) (-21/17) (30/17)
0 g2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 (-15/17) (-5/17) (29/17)
0 g8 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 (-16/17) (-50/51) (52/51)
0 s2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0(1261/34)(-2234/51)(3947/102)
0 g4 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 (-21/17) (-38/51) (115/51)
0 g6 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 (-9/17) (-43/51) (59/51)
-6 x0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 (-5/17) (21/17) (4/17)
0 g9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 (1/3) (1/3)
0 g5 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 (5/17) (-21/17) (13/17)
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0(-148/17)(-437/51)(1960/51)
-- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- --
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8 g9 g10 g11 g12
3 x3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 -2 1 0 5
0 s1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0(-300/17)(-100/17) 0(2620/17)
2 x2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 (9/34)(-106/51) 0(757/102)
0 g7 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 (-19/17) (-53/51) 0 (100/51)
0 g3 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 (-19/34) (-35/51) 0(185/102)
5 x1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 2
0 g1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 (5/17) (-21/17) 0 (30/17)
0 g2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 (-15/17) (-5/17) 0 (29/17)
0 g8 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 (-16/17) (-50/51) 0 (52/51)
0 s2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0(1261/34)(-2234/51) 0(3947/102)
0 g4 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 (-21/17) (-38/51) 0 (115/51)
0 g6 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 (-9/17) (-43/51) 0 (59/51)
-6 x0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 (-5/17) (21/17) 0 (4/17)
0 g9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 (1/3) 0 (1/3)
0 g5 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 (5/17) (-21/17) 0 (13/17)
0 g12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0*(-6/17)* (-2/17) 1 (-2/17)
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0(-148/17)(-437/51) 0(1960/51)
-- -- -- -- -- -- -- -- -- -- -- -- -- -- -- (74/3) (437/6) --
Es wurde noch eine Nebenbedingung hinzugefügt um Ganzzahligkeit zu erreichen. Diese Nebenbedingung lautet: (-6/17)·g10 + (-2/17)·g11 + g12 = (-2/17)
DUAL -6 5 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 0
x0 x1 s2 s1 x2 x3 g1 g2 g3 g4 g5 g6 g7 g8 g9 g10 g11 g12
3 x3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 (5/3) (-17/3) (17/3)
0 s1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -50 160
2 x2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 (-13/6) (3/4) (22/3)
0 g7 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 (-2/3) (-19/6) (7/3)
0 g3 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 (-1/2) (-19/12) 2
5 x1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 (1/3) (-17/6) (7/3)
0 g1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 (-4/3) (5/6) (5/3)
0 g2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 (-5/2) 2
0 g8 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 (-2/3) (-8/3) (4/3)
0 s2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 (-337/6)(1261/12) (79/3)
0 g4 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 (-1/3) (-7/2) (8/3)
0 g6 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 (-2/3) (-3/2) (4/3)
-6 x0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 (4/3) (-5/6) (1/3)
0 g9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 (2/3) (-17/6) (2/3)
0 g5 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 (-4/3) (5/6) (2/3)
0 g10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 (1/3) (-17/6) (1/3)
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 (-17/3) (-74/3) (124/3)
-- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- --