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