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lotfi

min: -ZP1 +ZM1 +Z2 +Z3 +Z4 +Z5 +Z6 +Z7;
2: +X1111 +X1121 +X1131 +SB11 = 132;
3: +X2111 +X2211 +X2121 +X2221 +X2131 +X2231 +SB12 = 446;
4: +X3211 +X3311 +X3221 +X3321 +X3231 +X3331 +SB13 = 2079;
5: +X4311 +X4411 +X4321 +X4421 +X4331 +X4431 +SB14 = 5346;
6: +X5411 +X5511 +X5421 +X5521 +X5431 +X5531 +SB15 = 5346;
7: +X6511 +X6611 +X6521 +X6621 +X6531 +X6631 +SB16 = 8019;
8: +X1112 +X1122 +X1132 +X1142 +SB21 = 352;
9: +X2112 +X2212 +X2122 +X2222 +X2132 +X2232 +X2142 +X2242 +SB22 = 1188;
10: +X3212 +X3312 +X3222 +X3322 +X3232 +X3332 +X3242 +X3342 +SB23 = 5544;
11: +X4312 +X4412 +X4322 +X4422 +X4332 +X4432 +X4342 +X4442 +SB24 = 14256;
12: +X5412 +X5512 +X5422 +X5522 +X5432 +X5532 +X5442 +X5542 +SB25 = 14256;
13: +X6512 +X6612 +X6522 +X6622 +X6532 +X6632 +X6542 +X6642 +SB26 = 21384;
14: +X1123 +X1133 +X1143 +SB31 = 220;
15: +X2123 +X2223 +X2133 +X2233 +X2143 +X2243 +SB32 = 743;
16: +X3223 +X3323 +X3233 +X3333 +X3243 +X3343 +SB33 = 3465;
17: +X4323 +X4423 +X4333 +X4433 +X4343 +X4443 +SB34 = 8910;
18: +X5423 +X5523 +X5433 +X5533 +X5443 +X5543 +SB35 = 8910;
19: +X6523 +X6623 +X6533 +X6633 +X6543 +X6643 +SB36 = 13365;
20: +X1134 +X1144 +SB41 = 176;
21: +X2134 +X2234 +X2144 +X2244 +SB42 = 594;
22: +X3234 +X3334 +X3244 +X3344 +SB43 = 2772;
23: +X4334 +X4434 +X4344 +X4444 +SB44 = 7128;
24: +X5434 +X5534 +X5444 +X5544 +SB45 = 7128;
25: +X6534 +X6634 +X6544 +X6644 +SB46 = 10692;
26: +E11 = 1;
27: +E12 = 3;
28: +E13 -AP13 +AM13 = 9;
29: +E14 -AP14 +AM14 = 18;
30: +E15 -AP15 +AM15 = 18;
31: +E16 -AP16 +AM16 = 27;
32: -E11 +E21 = 0;
33: -E12 +E22 = 0;
34: -E13 +E23 -AP23 +AM23 = 0;
35: -E14 +E24 -AP24 +AM24 = 0;
36: -E15 +E25 -AP25 +AM25 = 0;
37: -E16 +E26 -AP26 +AM26 = 0;
38: -E21 +E31 = 0;
39: -E22 +E32 = 0;
40: -E23 +E33 -AP33 +AM33 = 0;
41: -E24 +E34 -AP34 +AM34 = 0;
42: -E25 +E35 -AP35 +AM35 = 0;
43: -E26 +E36 -AP36 +AM36 = 0;
44: -E31 +E41 = 0;
45: -E32 +E42 = 0;
46: -E33 +E43 -AP43 +AM43 = 0;
47: -E34 +E44 -AP44 +AM44 = 0;
48: -E35 +E45 -AP45 +AM45 = 0;
49: -E36 +E46 -AP46 +AM46 = 0;
50: -10 E11 -10 E21 -10 E31 -10 E41 +D11 +D21 +D31 +D41 +SP1 = 0;
51: -10 E12 -10 E22 -10 E32 -10 E42 +D12 +D22 +D32 +D42 +SP2 = 0;
52: -18.75 E13 -18.75 E23 -18.75 E33 -18.75 E43 +D13 +D23 +D33 +D43 +SP3 = 0;
53: -25 E14 -25 E24 -25 E34 -25 E44 +D14 +D24 +D34 +D44 +SP4 = 0;
54: -20 E15 -20 E25 -20 E35 -20 E45 +D15 +D25 +D35 +D45 +SP5 = 0;
55: -20 E16 -20 E26 -20 E36 -20 E46 +D16 +D26 +D36 +D46 +SP6 = 0;
56: +X1111 +X2111 +X1112 +X2112 -210 E11 +D11 -O11 +I11 = 0;
57: +X2211 +X3211 +X2212 +X3212 -235 E12 +D12 -O12 +I12 = 0;
58: +X3311 +X4311 +X3312 +X4312 -368.75 E13 +D13 -O13 +I13 = 0;
59: +X4411 +X5411 +X4412 +X5412 -475 E14 +D14 -O14 +I14 = 0;
60: +X5511 +X6511 +X5512 +X6512 -470 E15 +D15 -O15 +I15 = 0;
61: +X6611 +X6612 -470 E16 +D16 -O16 +I16 = 0;
62: +X1121 +X2121 +X1122 +X2122 +X1123 +X2123 -210 E21 +D21 -O21 +I21 = 0;
63: +X2221 +X3221 +X2222 +X3222 +X2223 +X3223 -235 E22 +D22 -O22 +I22 = 0;
64: +X3321 +X4321 +X3322 +X4322 +X3323 +X4323 -368.75 E23 +D23 -O23 +I23 = 0;
65: +X4421 +X5421 +X4422 +X5422 +X4423 +X5423 -475 E24 +D24 -O24 +I24 = 0;
66: +X5521 +X6521 +X5522 +X6522 +X5523 +X6523 -470 E25 +D25 -O25 +I25 = 0;
67: +X6621 +X6622 +X6623 -470 E26 +D26 -O26 +I26 = 0;
68: +X1131 +X2131 +X1132 +X2132 +X1133 +X2133 +X1134 +X2134 -210 E31 +D31 -O31 +I31 = 0;
69: +X2231 +X3231 +X2232 +X3232 +X2233 +X3233 +X2234 +X3234 -235 E32 +D32 -O32 +I32 = 0;
70: +X3331 +X4331 +X3332 +X4332 +X3333 +X4333 +X3334 +X4334 -368.75 E33 +D33 -O33 +I33 = 0;
71: +X4431 +X5431 +X4432 +X5432 +X4433 +X5433 +X4434 +X5434 -475 E34 +D34 -O34 +I34 = 0;
72: +X5531 +X6531 +X5532 +X6532 +X5533 +X6533 +X5534 +X6534 -470 E35 +D35 -O35 +I35 = 0;
73: +X6631 +X6632 +X6633 +X6634 -470 E36 +D36 -O36 +I36 = 0;
74: +X1142 +X2142 +X1143 +X2143 +X1144 +X2144 -210 E41 +D41 -O41 +I41 = 0;
75: +X2242 +X3242 +X2243 +X3243 +X2244 +X3244 -235 E42 +D42 -O42 +I42 = 0;
76: +X3342 +X4342 +X3343 +X4343 +X3344 +X4344 -368.75 E43 +D43 -O43 +I43 = 0;
77: +X4442 +X5442 +X4443 +X5443 +X4444 +X5444 -475 E44 +D44 -O44 +I44 = 0;
78: +X5542 +X6542 +X5543 +X6543 +X5544 +X6544 -470 E45 +D45 -O45 +I45 = 0;
79: +X6642 +X6643 +X6644 -470 E46 +D46 -O46 +I46 = 0;
80: +E12 -0.0192 E13 -0.0192 E14 -0.0192 E15 -0.0192 E16 > -0;
81: +E22 -0.0192 E23 -0.0192 E24 -0.0192 E25 -0.0192 E26 > -0;
82: +E32 -0.0192 E33 -0.0192 E34 -0.0192 E35 -0.0192 E36 > -0;
83: +E42 -0.0192 E43 -0.0192 E44 -0.0192 E45 -0.0192 E46 > -0;
84: +E13 -0.0833 E14 -0.0833 E15 -0.0833 E16 > -0;
85: +E23 -0.0833 E24 -0.0833 E25 -0.0833 E26 > -0;
86: +E33 -0.0833 E34 -0.0833 E35 -0.0833 E36 > -0;
87: +E43 -0.0833 E44 -0.0833 E45 -0.0833 E46 > -0;
88: +E14 -0.3333 E15 -0.3333 E16 > -0;
89: +E24 -0.3333 E25 -0.3333 E26 > -0;
90: +E34 -0.3333 E35 -0.3333 E36 > -0;
91: +E44 -0.3333 E45 -0.3333 E46 > -0;
92: +E15 -0.5 E16 > -0;
93: +E25 -0.5 E26 > -0;
94: +E35 -0.5 E36 > -0;
95: +E45 -0.5 E46 > -0;
96: -100 E11 +O11 < 0; 97: -112.5 E12 +O12 < 0; 98: -70 E13 +O13 < 0; 99: -90 E14 +O14 < 0; 100: -90 E15 +O15 < 0; 101: -45 E16 +O16 < 0; 102: -100 E21 +O21 < 0; 103: -112.5 E22 +O22 < 0; 104: -70 E23 +O23 < 0; 105: -90 E24 +O24 < 0; 106: -90 E25 +O25 < 0; 107: -45 E26 +O26 < 0; 108: -100 E31 +O31 < 0; 109: -112.5 E32 +O32 < 0; 110: -70 E33 +O33 < 0; 111: -90 E34 +O34 < 0; 112: -90 E35 +O35 < 0; 113: -45 E36 +O36 < 0; 114: -100 E41 +O41 < 0; 115: -112.5 E42 +O42 < 0; 116: -70 E43 +O43 < 0; 117: -90 E44 +O44 < 0; 118: -90 E45 +O45 < 0; 119: -45 E46 +O46 < 0; 120: +X1112 < 70.4; 121: +X2112 +X2212 < 237.6; 122: +X3212 +X3312 < 1108.8; 123: +X4312 +X4412 < 2851.2; 124: +X5412 +X5512 < 2851.2; 125: +X6512 +X6612 < 4276.8; 126: +X1123 < 44; 127: +X2123 +X2223 < 148.6; 128: +X3223 +X3323 < 693; 129: +X4323 +X4423 < 1782; 130: +X5423 +X5523 < 1782; 131: +X6523 +X6623 < 2673; 132: +X1134 < 35.2; 133: +X2134 +X2234 < 118.8; 134: +X3234 +X3334 < 554.4; 135: +X4334 +X4434 < 1425.6; 136: +X5434 +X5534 < 1425.6; 137: +X6534 +X6634 < 2138.4; 138: -135 X1111 -135 X1121 -135 X1131 -90 X2111 -90 X2211 -90 X2121 -90 X2221 -90 X2131 -90 X2231 -66 X3211 -66 X3311 -66 X3221 -66 X3321 -66 X3231 -66 X3331 -48 X4311 -48 X4411 -48 X4321 -48 X4421 -48 X4331 -48 X4431 -36 X5411 -36 X5511 -36 X5421 -36 X5521 -36 X5431 -36 X5531 -30 X6511 -30 X6611 -30 X6521 -30 X6621 -30 X6531 -30 X6631 -135 X1112 -135 X1122 -135 X1132 -135 X1142 -90 X2112 -90 X2212 -90 X2122 -90 X2222 -90 X2132 -90 X2232 -90 X2142 -90 X2242 -66 X3212 -66 X3312 -66 X3222 -66 X3322 -66 X3232 -66 X3332 -66 X3242 -66 X3342 -48 X4312 -48 X4412 -48 X4322 -48 X4422 -48 X4332 -48 X4432 -48 X4342 -48 X4442 -36 X5412 -36 X5512 -36 X5422 -36 X5522 -36 X5432 -36 X5532 -36 X5442 -36 X5542 -30 X6512 -30 X6612 -30 X6522 -30 X6622 -30 X6532 -30 X6632 -30 X6542 -30 X6642 -135 X1123 -135 X1133 -135 X1143 -90 X2123 -90 X2223 -90 X2133 -90 X2233 -90 X2143 -90 X2243 -66 X3223 -66 X3323 -66 X3233 -66 X3333 -66 X3243 -66 X3343 -48 X4323 -48 X4423 -48 X4333 -48 X4433 -48 X4343 -48 X4443 -36 X5423 -36 X5523 -36 X5433 -36 X5533 -36 X5443 -36 X5543 -30 X6523 -30 X6623 -30 X6533 -30 X6633 -30 X6543 -30 X6643 -135 X1134 -135 X1144 -90 X2134 -90 X2234 -90 X2144 -90 X2244 -66 X3234 -66 X3334 -66 X3244 -66 X3344 -48 X4334 -48 X4434 -48 X4344 -48 X4444 -36 X5434 -36 X5534 -36 X5444 -36 X5544 -30 X6534 -30 X6634 -30 X6544 -30 X6644 +1000 SUM11 = 0; 139: -37.5 E11 -25.5 E12 -12 E13 -8.1 E14 -6.6 E15 -5.4 E16 -37.5 E21 -25.5 E22 -12 E23 -8.1 E24 -6.6 E25 -5.4 E26 -37.5 E31 -25.5 E32 -12 E33 -8.1 E34 -6.6 E35 -5.4 E36 -37.5 E41 -25.5 E42 -12 E43 -8.1 E44 -6.6 E45 -5.4 E46 +SUM12 = 0; 140: -22.28 O14 -18.15 O15 -14.85 O16 -22.28 O24 -18.15 O25 -14.85 O26 -22.28 O34 -18.15 O35 -14.85 O36 -22.28 O44 -18.15 O45 -14.85 O46 +1000 SUM13 = 0; 141: -20 AP13 -60 AM13 -10 AP14 -30 AM14 -5 AP15 -15 AM15 -2 AP16 -6 AM16 -20 AP23 -60 AM23 -10 AP24 -30 AM24 -5 AP25 -15 AM25 -2 AP26 -6 AM26 -20 AP33 -60 AM33 -10 AP34 -30 AM34 -5 AP35 -15 AM35 -2 AP36 -6 AM36 -20 AP43 -60 AM43 -10 AP44 -30 AM44 -5 AP45 -15 AM45 -2 AP46 -6 AM46 +SUM14 = 0; 142: +100 ZP1 -100 ZM1 -SUM11 +SUM12 +SUM13 +SUM14 = -13.05; 143: -X1121 -X1131 -X2121 -X2221 -X2131 -X2231 -X3221 -X3321 -X3231 -X3331 -X4321 -X4421 -X4331 -X4431 -X5421 -X5521 -X5431 -X5531 -X6521 -X6621 -X6531 -X6631 -X1132 -X1142 -X2132 -X2232 -X2142 -X2242 -X3232 -X3332 -X3242 -X3342 -X4332 -X4432 -X4342 -X4442 -X5432 -X5532 -X5442 -X5542 -X6532 -X6632 -X6542 -X6642 -X1143 -X2143 -X2243 -X3243 -X3343 -X4343 -X4443 -X5443 -X5543 -X6543 -X6643 +1000 SUM21 = 0; 144: +Z2 -SUM21 = 0; 145: -SB11 -SB12 -SB13 -SB14 -SB15 -SB16 -SB21 -SB22 -SB23 -SB24 -SB25 -SB26 -SB31 -SB32 -SB33 -SB34 -SB35 -SB36 -SB41 -SB42 -SB43 -SB44 -SB45 -SB46 +1000 SUM31 = 0; 146: +Z3 -SUM31 = 0; 147: -AP13 -AP14 -AP15 -AP16 -AP23 -AP24 -AP25 -AP26 -AP33 -AP34 -AP35 -AP36 -AP43 -AP44 -AP45 -AP46 +SUM41 = 0; 148: +Z4 -SUM41 = 0; 149: -AM13 -AM14 -AM15 -AM16 -AM23 -AM24 -AM25 -AM26 -AM33 -AM34 -AM35 -AM36 -AM43 -AM44 -AM45 -AM46 +SUM51 = 0; 150: +Z5 -SUM51 = 0; 151: -X2111 -X2121 -X2131 -X3211 -X3221 -X3231 -X4311 -X4321 -X4331 -X5411 -X5421 -X5431 -X6511 -X6521 -X6531 -X2112 -X2122 -X2132 -X2142 -X3212 -X3222 -X3232 -X3242 -X4312 -X4322 -X4332 -X4342 -X5412 -X5422 -X5432 -X5442 -X6512 -X6522 -X6532 -X6542 -X2123 -X2133 -X2143 -X3223 -X3233 -X3243 -X4323 -X4333 -X4343 -X5423 -X5433 -X5443 -X6523 -X6533 -X6543 -X2134 -X2144 -X3234 -X3244 -X4334 -X4344 -X5434 -X5444 -X6534 -X6544 -I11 -I12 -I13 -I14 -I15 -I16 -I21 -I22 -I23 -I24 -I25 -I26 -I31 -I32 -I33 -I34 -I35 -I36 -I41 -I42 -I43 -I44 -I45 -I46 +1000 SUM61 = 0; 152: +Z6 -SUM61 = 0; 153: -SP1 -SP2 -SP3 -SP4 -SP5 -SP6 +100 SUM71 = 0; 154: +Z7 -SUM71 = 0;