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Instance: edgecross14-039

edge-crossing minimization in bipartite graphs modeled as a quadratic linear ordering problem
This instance is for the edge crossing minimization problem in a
bipartite graph G. G has to be drawn in the plane so that the nodes of
its two shores are placed on two parallel horizontal lines. The task
is to minimize the number of edge crossings by permuting the order of
nodes on each layer, assuming that all edges are drawn as straight
lines. The problem can be modeled as a quadratic objective over linear
ordering variables.
Formats ams gms lp mod nl osil pip
Primal Bounds
109.00000000 p1 ( gdx sol )
(infeas: 0)
Dual Bounds
108.99999990 (ANTIGONE)
108.99999980 (BARON)
109.00000000 (COUENNE)
109.00000000 (LINDO)
109.00000000 (SCIP)
References Buchheim, Christoph, Wiegele, Angelika, and Zheng, Lanbo, Exact Algorithms for the Quadratic Linear Ordering Problem, INFORMS Journal on Computing, 22:1, 2010, 168-177.
Source POLIP instance quadratic_linear_ordering/bip_cross_min.14.14.39.1
Application Edge-crossing minimization in bipartite graphs
Added to library 26 Feb 2014
Problem type MBQCP
#Variables 183
#Binary Variables 80
#Integer Variables 0
#Nonlinear Variables 157
#Nonlinear Binary Variables 55
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1
#Nonlinear Nonzeros in Objective 0
#Constraints 1457
#Linear Constraints 1456
#Quadratic Constraints 1
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 4526
#Nonlinear Nonzeros in Jacobian 157
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1250
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 1
Minimal blocksize in Hessian of Lagrangian 157
Maximal blocksize in Hessian of Lagrangian 157
Average blocksize in Hessian of Lagrangian 157.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 309
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*       1457        0        1     1456        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        183      103       80        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       4526     4369      157        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
          ,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
          ,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
          ,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
          ,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,objvar,x82,x83,x84,x85,x86
          ,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102
          ,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115
          ,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128
          ,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141
          ,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154
          ,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167
          ,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180
          ,x181,x182,x183;

Positive Variables  x82,x83,x84,x85,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95
          ,x96,x97,x98,x99,x100,x101,x102,x103,x104,x105,x106,x107,x108,x109
          ,x110,x111,x112,x113,x114,x115,x116,x117,x118,x119,x120,x121,x122
          ,x123,x124,x125,x126,x127,x128,x129,x130,x131,x132,x133,x134,x135
          ,x136,x137,x138,x139,x140,x141,x142,x143,x144,x145,x146,x147,x148
          ,x149,x150,x151,x152,x153,x154,x155,x156,x157,x158,x159,x160,x161
          ,x162,x163,x164,x165,x166,x167,x168,x169,x170,x171,x172,x173,x174
          ,x175,x176,x177,x178,x179,x180,x181,x182,x183;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
          ,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
          ,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
          ,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
          ,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564,e565,e566,e567,e568,e569,e570,e571
          ,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
          ,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
          ,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
          ,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
          ,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
          ,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
          ,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
          ,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
          ,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
          ,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
          ,e702,e703,e704,e705,e706,e707,e708,e709,e710,e711,e712,e713,e714
          ,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726,e727
          ,e728,e729,e730,e731,e732,e733,e734,e735,e736,e737,e738,e739,e740
          ,e741,e742,e743,e744,e745,e746,e747,e748,e749,e750,e751,e752,e753
          ,e754,e755,e756,e757,e758,e759,e760,e761,e762,e763,e764,e765,e766
          ,e767,e768,e769,e770,e771,e772,e773,e774,e775,e776,e777,e778,e779
          ,e780,e781,e782,e783,e784,e785,e786,e787,e788,e789,e790,e791,e792
          ,e793,e794,e795,e796,e797,e798,e799,e800,e801,e802,e803,e804,e805
          ,e806,e807,e808,e809,e810,e811,e812,e813,e814,e815,e816,e817,e818
          ,e819,e820,e821,e822,e823,e824,e825,e826,e827,e828,e829,e830,e831
          ,e832,e833,e834,e835,e836,e837,e838,e839,e840,e841,e842,e843,e844
          ,e845,e846,e847,e848,e849,e850,e851,e852,e853,e854,e855,e856,e857
          ,e858,e859,e860,e861,e862,e863,e864,e865,e866,e867,e868,e869,e870
          ,e871,e872,e873,e874,e875,e876,e877,e878,e879,e880,e881,e882,e883
          ,e884,e885,e886,e887,e888,e889,e890,e891,e892,e893,e894,e895,e896
          ,e897,e898,e899,e900,e901,e902,e903,e904,e905,e906,e907,e908,e909
          ,e910,e911,e912,e913,e914,e915,e916,e917,e918,e919,e920,e921,e922
          ,e923,e924,e925,e926,e927,e928,e929,e930,e931,e932,e933,e934,e935
          ,e936,e937,e938,e939,e940,e941,e942,e943,e944,e945,e946,e947,e948
          ,e949,e950,e951,e952,e953,e954,e955,e956,e957,e958,e959,e960,e961
          ,e962,e963,e964,e965,e966,e967,e968,e969,e970,e971,e972,e973,e974
          ,e975,e976,e977,e978,e979,e980,e981,e982,e983,e984,e985,e986,e987
          ,e988,e989,e990,e991,e992,e993,e994,e995,e996,e997,e998,e999,e1000
          ,e1001,e1002,e1003,e1004,e1005,e1006,e1007,e1008,e1009,e1010,e1011
          ,e1012,e1013,e1014,e1015,e1016,e1017,e1018,e1019,e1020,e1021,e1022
          ,e1023,e1024,e1025,e1026,e1027,e1028,e1029,e1030,e1031,e1032,e1033
          ,e1034,e1035,e1036,e1037,e1038,e1039,e1040,e1041,e1042,e1043,e1044
          ,e1045,e1046,e1047,e1048,e1049,e1050,e1051,e1052,e1053,e1054,e1055
          ,e1056,e1057,e1058,e1059,e1060,e1061,e1062,e1063,e1064,e1065,e1066
          ,e1067,e1068,e1069,e1070,e1071,e1072,e1073,e1074,e1075,e1076,e1077
          ,e1078,e1079,e1080,e1081,e1082,e1083,e1084,e1085,e1086,e1087,e1088
          ,e1089,e1090,e1091,e1092,e1093,e1094,e1095,e1096,e1097,e1098,e1099
          ,e1100,e1101,e1102,e1103,e1104,e1105,e1106,e1107,e1108,e1109,e1110
          ,e1111,e1112,e1113,e1114,e1115,e1116,e1117,e1118,e1119,e1120,e1121
          ,e1122,e1123,e1124,e1125,e1126,e1127,e1128,e1129,e1130,e1131,e1132
          ,e1133,e1134,e1135,e1136,e1137,e1138,e1139,e1140,e1141,e1142,e1143
          ,e1144,e1145,e1146,e1147,e1148,e1149,e1150,e1151,e1152,e1153,e1154
          ,e1155,e1156,e1157,e1158,e1159,e1160,e1161,e1162,e1163,e1164,e1165
          ,e1166,e1167,e1168,e1169,e1170,e1171,e1172,e1173,e1174,e1175,e1176
          ,e1177,e1178,e1179,e1180,e1181,e1182,e1183,e1184,e1185,e1186,e1187
          ,e1188,e1189,e1190,e1191,e1192,e1193,e1194,e1195,e1196,e1197,e1198
          ,e1199,e1200,e1201,e1202,e1203,e1204,e1205,e1206,e1207,e1208,e1209
          ,e1210,e1211,e1212,e1213,e1214,e1215,e1216,e1217,e1218,e1219,e1220
          ,e1221,e1222,e1223,e1224,e1225,e1226,e1227,e1228,e1229,e1230,e1231
          ,e1232,e1233,e1234,e1235,e1236,e1237,e1238,e1239,e1240,e1241,e1242
          ,e1243,e1244,e1245,e1246,e1247,e1248,e1249,e1250,e1251,e1252,e1253
          ,e1254,e1255,e1256,e1257,e1258,e1259,e1260,e1261,e1262,e1263,e1264
          ,e1265,e1266,e1267,e1268,e1269,e1270,e1271,e1272,e1273,e1274,e1275
          ,e1276,e1277,e1278,e1279,e1280,e1281,e1282,e1283,e1284,e1285,e1286
          ,e1287,e1288,e1289,e1290,e1291,e1292,e1293,e1294,e1295,e1296,e1297
          ,e1298,e1299,e1300,e1301,e1302,e1303,e1304,e1305,e1306,e1307,e1308
          ,e1309,e1310,e1311,e1312,e1313,e1314,e1315,e1316,e1317,e1318,e1319
          ,e1320,e1321,e1322,e1323,e1324,e1325,e1326,e1327,e1328,e1329,e1330
          ,e1331,e1332,e1333,e1334,e1335,e1336,e1337,e1338,e1339,e1340,e1341
          ,e1342,e1343,e1344,e1345,e1346,e1347,e1348,e1349,e1350,e1351,e1352
          ,e1353,e1354,e1355,e1356,e1357,e1358,e1359,e1360,e1361,e1362,e1363
          ,e1364,e1365,e1366,e1367,e1368,e1369,e1370,e1371,e1372,e1373,e1374
          ,e1375,e1376,e1377,e1378,e1379,e1380,e1381,e1382,e1383,e1384,e1385
          ,e1386,e1387,e1388,e1389,e1390,e1391,e1392,e1393,e1394,e1395,e1396
          ,e1397,e1398,e1399,e1400,e1401,e1402,e1403,e1404,e1405,e1406,e1407
          ,e1408,e1409,e1410,e1411,e1412,e1413,e1414,e1415,e1416,e1417,e1418
          ,e1419,e1420,e1421,e1422,e1423,e1424,e1425,e1426,e1427,e1428,e1429
          ,e1430,e1431,e1432,e1433,e1434,e1435,e1436,e1437,e1438,e1439,e1440
          ,e1441,e1442,e1443,e1444,e1445,e1446,e1447,e1448,e1449,e1450,e1451
          ,e1452,e1453,e1454,e1455,e1456,e1457;


e1..  - b1 + b2 + b3 =L= 1;

e2..    b3 - b4 + b5 =L= 1;

e3..    b3 - b6 + b7 =L= 1;

e4..    b3 - b8 + b9 =L= 1;

e5..    b3 - b10 + b11 =L= 1;

e6..    b3 - b12 + b13 =L= 1;

e7..    b3 - b14 + b15 =L= 1;

e8..    b3 - b16 + b17 =L= 1;

e9..    b3 - b18 + b19 =L= 1;

e10..    b3 - b20 + b21 =L= 1;

e11..    b3 - b22 + b23 =L= 1;

e12..    b3 - b24 + b25 =L= 1;

e13..    b1 - b4 + b26 =L= 1;

e14..    b1 - b6 + b27 =L= 1;

e15..    b1 - b8 + b28 =L= 1;

e16..    b1 - b10 + b29 =L= 1;

e17..    b1 - b12 + b30 =L= 1;

e18..    b1 - b14 + b31 =L= 1;

e19..    b1 - b16 + b32 =L= 1;

e20..    b1 - b18 + b33 =L= 1;

e21..    b1 - b20 + b34 =L= 1;

e22..    b1 - b22 + b35 =L= 1;

e23..    b1 - b24 + b36 =L= 1;

e24..    b4 - b6 + b37 =L= 1;

e25..    b4 - b8 + b38 =L= 1;

e26..    b4 - b10 + b39 =L= 1;

e27..    b4 - b12 + b40 =L= 1;

e28..    b4 - b14 + b41 =L= 1;

e29..    b4 - b16 + b42 =L= 1;

e30..    b4 - b18 + b43 =L= 1;

e31..    b4 - b20 + b44 =L= 1;

e32..    b4 - b22 + b45 =L= 1;

e33..    b4 - b24 + b46 =L= 1;

e34..    b6 - b8 + b47 =L= 1;

e35..    b6 - b10 + b48 =L= 1;

e36..    b6 - b12 + b49 =L= 1;

e37..    b6 - b14 + b50 =L= 1;

e38..    b6 - b16 + b51 =L= 1;

e39..    b6 - b18 + b52 =L= 1;

e40..    b6 - b20 + b53 =L= 1;

e41..    b6 - b22 + b54 =L= 1;

e42..    b6 - b24 + b55 =L= 1;

e43..    b8 - b10 + b56 =L= 1;

e44..    b8 - b12 + b57 =L= 1;

e45..    b8 - b14 + b58 =L= 1;

e46..    b8 - b16 + b59 =L= 1;

e47..    b8 - b18 + b60 =L= 1;

e48..    b8 - b20 + b61 =L= 1;

e49..    b8 - b22 + b62 =L= 1;

e50..    b8 - b24 + b63 =L= 1;

e51..    b10 - b12 + b64 =L= 1;

e52..    b10 - b14 + b65 =L= 1;

e53..    b10 - b16 + b66 =L= 1;

e54..    b10 - b18 + b67 =L= 1;

e55..    b10 - b20 + b68 =L= 1;

e56..    b10 - b22 + b69 =L= 1;

e57..    b10 - b24 + b70 =L= 1;

e58..    b12 - b14 + b71 =L= 1;

e59..    b12 - b16 + b72 =L= 1;

e60..    b12 - b18 + b73 =L= 1;

e61..    b12 - b20 + b74 =L= 1;

e62..    b12 - b22 + b75 =L= 1;

e63..    b12 - b24 + b76 =L= 1;

e64..    b14 - b16 + b77 =L= 1;

e65..    b14 - b18 + b78 =L= 1;

e66..    b14 - b20 + b79 =L= 1;

e67..    b14 - b22 + b80 =L= 1;

e68..    b14 - b24 + x82 =L= 1;

e69..    b16 - b18 + x83 =L= 1;

e70..    b16 - b20 + x84 =L= 1;

e71..    b16 - b22 + x85 =L= 1;

e72..    b16 - b24 + x86 =L= 1;

e73..    b18 - b20 + x87 =L= 1;

e74..    b18 - b22 + x88 =L= 1;

e75..    b18 - b24 + x89 =L= 1;

e76..    b20 - b22 + x90 =L= 1;

e77..    b20 - b24 + x91 =L= 1;

e78..    b22 - b24 + x92 =L= 1;

e79..    b2 - b5 + b26 =L= 1;

e80..    b2 - b7 + b27 =L= 1;

e81..    b2 - b9 + b28 =L= 1;

e82..    b2 - b11 + b29 =L= 1;

e83..    b2 - b13 + b30 =L= 1;

e84..    b2 - b15 + b31 =L= 1;

e85..    b2 - b17 + b32 =L= 1;

e86..    b2 - b19 + b33 =L= 1;

e87..    b2 - b21 + b34 =L= 1;

e88..    b2 - b23 + b35 =L= 1;

e89..    b2 - b25 + b36 =L= 1;

e90..    b5 - b7 + b37 =L= 1;

e91..    b5 - b9 + b38 =L= 1;

e92..    b5 - b11 + b39 =L= 1;

e93..    b5 - b13 + b40 =L= 1;

e94..    b5 - b15 + b41 =L= 1;

e95..    b5 - b17 + b42 =L= 1;

e96..    b5 - b19 + b43 =L= 1;

e97..    b5 - b21 + b44 =L= 1;

e98..    b5 - b23 + b45 =L= 1;

e99..    b5 - b25 + b46 =L= 1;

e100..    b7 - b9 + b47 =L= 1;

e101..    b7 - b11 + b48 =L= 1;

e102..    b7 - b13 + b49 =L= 1;

e103..    b7 - b15 + b50 =L= 1;

e104..    b7 - b17 + b51 =L= 1;

e105..    b7 - b19 + b52 =L= 1;

e106..    b7 - b21 + b53 =L= 1;

e107..    b7 - b23 + b54 =L= 1;

e108..    b7 - b25 + b55 =L= 1;

e109..    b9 - b11 + b56 =L= 1;

e110..    b9 - b13 + b57 =L= 1;

e111..    b9 - b15 + b58 =L= 1;

e112..    b9 - b17 + b59 =L= 1;

e113..    b9 - b19 + b60 =L= 1;

e114..    b9 - b21 + b61 =L= 1;

e115..    b9 - b23 + b62 =L= 1;

e116..    b9 - b25 + b63 =L= 1;

e117..    b11 - b13 + b64 =L= 1;

e118..    b11 - b15 + b65 =L= 1;

e119..    b11 - b17 + b66 =L= 1;

e120..    b11 - b19 + b67 =L= 1;

e121..    b11 - b21 + b68 =L= 1;

e122..    b11 - b23 + b69 =L= 1;

e123..    b11 - b25 + b70 =L= 1;

e124..    b13 - b15 + b71 =L= 1;

e125..    b13 - b17 + b72 =L= 1;

e126..    b13 - b19 + b73 =L= 1;

e127..    b13 - b21 + b74 =L= 1;

e128..    b13 - b23 + b75 =L= 1;

e129..    b13 - b25 + b76 =L= 1;

e130..    b15 - b17 + b77 =L= 1;

e131..    b15 - b19 + b78 =L= 1;

e132..    b15 - b21 + b79 =L= 1;

e133..    b15 - b23 + b80 =L= 1;

e134..    b15 - b25 + x82 =L= 1;

e135..    b17 - b19 + x83 =L= 1;

e136..    b17 - b21 + x84 =L= 1;

e137..    b17 - b23 + x85 =L= 1;

e138..    b17 - b25 + x86 =L= 1;

e139..    b19 - b21 + x87 =L= 1;

e140..    b19 - b23 + x88 =L= 1;

e141..    b19 - b25 + x89 =L= 1;

e142..    b21 - b23 + x90 =L= 1;

e143..    b21 - b25 + x91 =L= 1;

e144..    b23 - b25 + x92 =L= 1;

e145..    b26 - b27 + b37 =L= 1;

e146..    b26 - b28 + b38 =L= 1;

e147..    b26 - b29 + b39 =L= 1;

e148..    b26 - b30 + b40 =L= 1;

e149..    b26 - b31 + b41 =L= 1;

e150..    b26 - b32 + b42 =L= 1;

e151..    b26 - b33 + b43 =L= 1;

e152..    b26 - b34 + b44 =L= 1;

e153..    b26 - b35 + b45 =L= 1;

e154..    b26 - b36 + b46 =L= 1;

e155..    b27 - b28 + b47 =L= 1;

e156..    b27 - b29 + b48 =L= 1;

e157..    b27 - b30 + b49 =L= 1;

e158..    b27 - b31 + b50 =L= 1;

e159..    b27 - b32 + b51 =L= 1;

e160..    b27 - b33 + b52 =L= 1;

e161..    b27 - b34 + b53 =L= 1;

e162..    b27 - b35 + b54 =L= 1;

e163..    b27 - b36 + b55 =L= 1;

e164..    b28 - b29 + b56 =L= 1;

e165..    b28 - b30 + b57 =L= 1;

e166..    b28 - b31 + b58 =L= 1;

e167..    b28 - b32 + b59 =L= 1;

e168..    b28 - b33 + b60 =L= 1;

e169..    b28 - b34 + b61 =L= 1;

e170..    b28 - b35 + b62 =L= 1;

e171..    b28 - b36 + b63 =L= 1;

e172..    b29 - b30 + b64 =L= 1;

e173..    b29 - b31 + b65 =L= 1;

e174..    b29 - b32 + b66 =L= 1;

e175..    b29 - b33 + b67 =L= 1;

e176..    b29 - b34 + b68 =L= 1;

e177..    b29 - b35 + b69 =L= 1;

e178..    b29 - b36 + b70 =L= 1;

e179..    b30 - b31 + b71 =L= 1;

e180..    b30 - b32 + b72 =L= 1;

e181..    b30 - b33 + b73 =L= 1;

e182..    b30 - b34 + b74 =L= 1;

e183..    b30 - b35 + b75 =L= 1;

e184..    b30 - b36 + b76 =L= 1;

e185..    b31 - b32 + b77 =L= 1;

e186..    b31 - b33 + b78 =L= 1;

e187..    b31 - b34 + b79 =L= 1;

e188..    b31 - b35 + b80 =L= 1;

e189..    b31 - b36 + x82 =L= 1;

e190..    b32 - b33 + x83 =L= 1;

e191..    b32 - b34 + x84 =L= 1;

e192..    b32 - b35 + x85 =L= 1;

e193..    b32 - b36 + x86 =L= 1;

e194..    b33 - b34 + x87 =L= 1;

e195..    b33 - b35 + x88 =L= 1;

e196..    b33 - b36 + x89 =L= 1;

e197..    b34 - b35 + x90 =L= 1;

e198..    b34 - b36 + x91 =L= 1;

e199..    b35 - b36 + x92 =L= 1;

e200..    b37 - b38 + b47 =L= 1;

e201..    b37 - b39 + b48 =L= 1;

e202..    b37 - b40 + b49 =L= 1;

e203..    b37 - b41 + b50 =L= 1;

e204..    b37 - b42 + b51 =L= 1;

e205..    b37 - b43 + b52 =L= 1;

e206..    b37 - b44 + b53 =L= 1;

e207..    b37 - b45 + b54 =L= 1;

e208..    b37 - b46 + b55 =L= 1;

e209..    b38 - b39 + b56 =L= 1;

e210..    b38 - b40 + b57 =L= 1;

e211..    b38 - b41 + b58 =L= 1;

e212..    b38 - b42 + b59 =L= 1;

e213..    b38 - b43 + b60 =L= 1;

e214..    b38 - b44 + b61 =L= 1;

e215..    b38 - b45 + b62 =L= 1;

e216..    b38 - b46 + b63 =L= 1;

e217..    b39 - b40 + b64 =L= 1;

e218..    b39 - b41 + b65 =L= 1;

e219..    b39 - b42 + b66 =L= 1;

e220..    b39 - b43 + b67 =L= 1;

e221..    b39 - b44 + b68 =L= 1;

e222..    b39 - b45 + b69 =L= 1;

e223..    b39 - b46 + b70 =L= 1;

e224..    b40 - b41 + b71 =L= 1;

e225..    b40 - b42 + b72 =L= 1;

e226..    b40 - b43 + b73 =L= 1;

e227..    b40 - b44 + b74 =L= 1;

e228..    b40 - b45 + b75 =L= 1;

e229..    b40 - b46 + b76 =L= 1;

e230..    b41 - b42 + b77 =L= 1;

e231..    b41 - b43 + b78 =L= 1;

e232..    b41 - b44 + b79 =L= 1;

e233..    b41 - b45 + b80 =L= 1;

e234..    b41 - b46 + x82 =L= 1;

e235..    b42 - b43 + x83 =L= 1;

e236..    b42 - b44 + x84 =L= 1;

e237..    b42 - b45 + x85 =L= 1;

e238..    b42 - b46 + x86 =L= 1;

e239..    b43 - b44 + x87 =L= 1;

e240..    b43 - b45 + x88 =L= 1;

e241..    b43 - b46 + x89 =L= 1;

e242..    b44 - b45 + x90 =L= 1;

e243..    b44 - b46 + x91 =L= 1;

e244..    b45 - b46 + x92 =L= 1;

e245..    b47 - b48 + b56 =L= 1;

e246..    b47 - b49 + b57 =L= 1;

e247..    b47 - b50 + b58 =L= 1;

e248..    b47 - b51 + b59 =L= 1;

e249..    b47 - b52 + b60 =L= 1;

e250..    b47 - b53 + b61 =L= 1;

e251..    b47 - b54 + b62 =L= 1;

e252..    b47 - b55 + b63 =L= 1;

e253..    b48 - b49 + b64 =L= 1;

e254..    b48 - b50 + b65 =L= 1;

e255..    b48 - b51 + b66 =L= 1;

e256..    b48 - b52 + b67 =L= 1;

e257..    b48 - b53 + b68 =L= 1;

e258..    b48 - b54 + b69 =L= 1;

e259..    b48 - b55 + b70 =L= 1;

e260..    b49 - b50 + b71 =L= 1;

e261..    b49 - b51 + b72 =L= 1;

e262..    b49 - b52 + b73 =L= 1;

e263..    b49 - b53 + b74 =L= 1;

e264..    b49 - b54 + b75 =L= 1;

e265..    b49 - b55 + b76 =L= 1;

e266..    b50 - b51 + b77 =L= 1;

e267..    b50 - b52 + b78 =L= 1;

e268..    b50 - b53 + b79 =L= 1;

e269..    b50 - b54 + b80 =L= 1;

e270..    b50 - b55 + x82 =L= 1;

e271..    b51 - b52 + x83 =L= 1;

e272..    b51 - b53 + x84 =L= 1;

e273..    b51 - b54 + x85 =L= 1;

e274..    b51 - b55 + x86 =L= 1;

e275..    b52 - b53 + x87 =L= 1;

e276..    b52 - b54 + x88 =L= 1;

e277..    b52 - b55 + x89 =L= 1;

e278..    b53 - b54 + x90 =L= 1;

e279..    b53 - b55 + x91 =L= 1;

e280..    b54 - b55 + x92 =L= 1;

e281..    b56 - b57 + b64 =L= 1;

e282..    b56 - b58 + b65 =L= 1;

e283..    b56 - b59 + b66 =L= 1;

e284..    b56 - b60 + b67 =L= 1;

e285..    b56 - b61 + b68 =L= 1;

e286..    b56 - b62 + b69 =L= 1;

e287..    b56 - b63 + b70 =L= 1;

e288..    b57 - b58 + b71 =L= 1;

e289..    b57 - b59 + b72 =L= 1;

e290..    b57 - b60 + b73 =L= 1;

e291..    b57 - b61 + b74 =L= 1;

e292..    b57 - b62 + b75 =L= 1;

e293..    b57 - b63 + b76 =L= 1;

e294..    b58 - b59 + b77 =L= 1;

e295..    b58 - b60 + b78 =L= 1;

e296..    b58 - b61 + b79 =L= 1;

e297..    b58 - b62 + b80 =L= 1;

e298..    b58 - b63 + x82 =L= 1;

e299..    b59 - b60 + x83 =L= 1;

e300..    b59 - b61 + x84 =L= 1;

e301..    b59 - b62 + x85 =L= 1;

e302..    b59 - b63 + x86 =L= 1;

e303..    b60 - b61 + x87 =L= 1;

e304..    b60 - b62 + x88 =L= 1;

e305..    b60 - b63 + x89 =L= 1;

e306..    b61 - b62 + x90 =L= 1;

e307..    b61 - b63 + x91 =L= 1;

e308..    b62 - b63 + x92 =L= 1;

e309..    b64 - b65 + b71 =L= 1;

e310..    b64 - b66 + b72 =L= 1;

e311..    b64 - b67 + b73 =L= 1;

e312..    b64 - b68 + b74 =L= 1;

e313..    b64 - b69 + b75 =L= 1;

e314..    b64 - b70 + b76 =L= 1;

e315..    b65 - b66 + b77 =L= 1;

e316..    b65 - b67 + b78 =L= 1;

e317..    b65 - b68 + b79 =L= 1;

e318..    b65 - b69 + b80 =L= 1;

e319..    b65 - b70 + x82 =L= 1;

e320..    b66 - b67 + x83 =L= 1;

e321..    b66 - b68 + x84 =L= 1;

e322..    b66 - b69 + x85 =L= 1;

e323..    b66 - b70 + x86 =L= 1;

e324..    b67 - b68 + x87 =L= 1;

e325..    b67 - b69 + x88 =L= 1;

e326..    b67 - b70 + x89 =L= 1;

e327..    b68 - b69 + x90 =L= 1;

e328..    b68 - b70 + x91 =L= 1;

e329..    b69 - b70 + x92 =L= 1;

e330..    b71 - b72 + b77 =L= 1;

e331..    b71 - b73 + b78 =L= 1;

e332..    b71 - b74 + b79 =L= 1;

e333..    b71 - b75 + b80 =L= 1;

e334..    b71 - b76 + x82 =L= 1;

e335..    b72 - b73 + x83 =L= 1;

e336..    b72 - b74 + x84 =L= 1;

e337..    b72 - b75 + x85 =L= 1;

e338..    b72 - b76 + x86 =L= 1;

e339..    b73 - b74 + x87 =L= 1;

e340..    b73 - b75 + x88 =L= 1;

e341..    b73 - b76 + x89 =L= 1;

e342..    b74 - b75 + x90 =L= 1;

e343..    b74 - b76 + x91 =L= 1;

e344..    b75 - b76 + x92 =L= 1;

e345..    b77 - b78 + x83 =L= 1;

e346..    b77 - b79 + x84 =L= 1;

e347..    b77 - b80 + x85 =L= 1;

e348..    b77 - x82 + x86 =L= 1;

e349..    b78 - b79 + x87 =L= 1;

e350..    b78 - b80 + x88 =L= 1;

e351..    b78 - x82 + x89 =L= 1;

e352..    b79 - b80 + x90 =L= 1;

e353..    b79 - x82 + x91 =L= 1;

e354..    b80 - x82 + x92 =L= 1;

e355..    x83 - x84 + x87 =L= 1;

e356..    x83 - x85 + x88 =L= 1;

e357..    x83 - x86 + x89 =L= 1;

e358..    x84 - x85 + x90 =L= 1;

e359..    x84 - x86 + x91 =L= 1;

e360..    x85 - x86 + x92 =L= 1;

e361..    x87 - x88 + x90 =L= 1;

e362..    x87 - x89 + x91 =L= 1;

e363..    x88 - x89 + x92 =L= 1;

e364..    x90 - x91 + x92 =L= 1;

e365..    b1 - b2 - b3 =L= 0;

e366..  - b3 + b4 - b5 =L= 0;

e367..  - b3 + b6 - b7 =L= 0;

e368..  - b3 + b8 - b9 =L= 0;

e369..  - b3 + b10 - b11 =L= 0;

e370..  - b3 + b12 - b13 =L= 0;

e371..  - b3 + b14 - b15 =L= 0;

e372..  - b3 + b16 - b17 =L= 0;

e373..  - b3 + b18 - b19 =L= 0;

e374..  - b3 + b20 - b21 =L= 0;

e375..  - b3 + b22 - b23 =L= 0;

e376..  - b3 + b24 - b25 =L= 0;

e377..  - b1 + b4 - b26 =L= 0;

e378..  - b1 + b6 - b27 =L= 0;

e379..  - b1 + b8 - b28 =L= 0;

e380..  - b1 + b10 - b29 =L= 0;

e381..  - b1 + b12 - b30 =L= 0;

e382..  - b1 + b14 - b31 =L= 0;

e383..  - b1 + b16 - b32 =L= 0;

e384..  - b1 + b18 - b33 =L= 0;

e385..  - b1 + b20 - b34 =L= 0;

e386..  - b1 + b22 - b35 =L= 0;

e387..  - b1 + b24 - b36 =L= 0;

e388..  - b4 + b6 - b37 =L= 0;

e389..  - b4 + b8 - b38 =L= 0;

e390..  - b4 + b10 - b39 =L= 0;

e391..  - b4 + b12 - b40 =L= 0;

e392..  - b4 + b14 - b41 =L= 0;

e393..  - b4 + b16 - b42 =L= 0;

e394..  - b4 + b18 - b43 =L= 0;

e395..  - b4 + b20 - b44 =L= 0;

e396..  - b4 + b22 - b45 =L= 0;

e397..  - b4 + b24 - b46 =L= 0;

e398..  - b6 + b8 - b47 =L= 0;

e399..  - b6 + b10 - b48 =L= 0;

e400..  - b6 + b12 - b49 =L= 0;

e401..  - b6 + b14 - b50 =L= 0;

e402..  - b6 + b16 - b51 =L= 0;

e403..  - b6 + b18 - b52 =L= 0;

e404..  - b6 + b20 - b53 =L= 0;

e405..  - b6 + b22 - b54 =L= 0;

e406..  - b6 + b24 - b55 =L= 0;

e407..  - b8 + b10 - b56 =L= 0;

e408..  - b8 + b12 - b57 =L= 0;

e409..  - b8 + b14 - b58 =L= 0;

e410..  - b8 + b16 - b59 =L= 0;

e411..  - b8 + b18 - b60 =L= 0;

e412..  - b8 + b20 - b61 =L= 0;

e413..  - b8 + b22 - b62 =L= 0;

e414..  - b8 + b24 - b63 =L= 0;

e415..  - b10 + b12 - b64 =L= 0;

e416..  - b10 + b14 - b65 =L= 0;

e417..  - b10 + b16 - b66 =L= 0;

e418..  - b10 + b18 - b67 =L= 0;

e419..  - b10 + b20 - b68 =L= 0;

e420..  - b10 + b22 - b69 =L= 0;

e421..  - b10 + b24 - b70 =L= 0;

e422..  - b12 + b14 - b71 =L= 0;

e423..  - b12 + b16 - b72 =L= 0;

e424..  - b12 + b18 - b73 =L= 0;

e425..  - b12 + b20 - b74 =L= 0;

e426..  - b12 + b22 - b75 =L= 0;

e427..  - b12 + b24 - b76 =L= 0;

e428..  - b14 + b16 - b77 =L= 0;

e429..  - b14 + b18 - b78 =L= 0;

e430..  - b14 + b20 - b79 =L= 0;

e431..  - b14 + b22 - b80 =L= 0;

e432..  - b14 + b24 - x82 =L= 0;

e433..  - b16 + b18 - x83 =L= 0;

e434..  - b16 + b20 - x84 =L= 0;

e435..  - b16 + b22 - x85 =L= 0;

e436..  - b16 + b24 - x86 =L= 0;

e437..  - b18 + b20 - x87 =L= 0;

e438..  - b18 + b22 - x88 =L= 0;

e439..  - b18 + b24 - x89 =L= 0;

e440..  - b20 + b22 - x90 =L= 0;

e441..  - b20 + b24 - x91 =L= 0;

e442..  - b22 + b24 - x92 =L= 0;

e443..  - b2 + b5 - b26 =L= 0;

e444..  - b2 + b7 - b27 =L= 0;

e445..  - b2 + b9 - b28 =L= 0;

e446..  - b2 + b11 - b29 =L= 0;

e447..  - b2 + b13 - b30 =L= 0;

e448..  - b2 + b15 - b31 =L= 0;

e449..  - b2 + b17 - b32 =L= 0;

e450..  - b2 + b19 - b33 =L= 0;

e451..  - b2 + b21 - b34 =L= 0;

e452..  - b2 + b23 - b35 =L= 0;

e453..  - b2 + b25 - b36 =L= 0;

e454..  - b5 + b7 - b37 =L= 0;

e455..  - b5 + b9 - b38 =L= 0;

e456..  - b5 + b11 - b39 =L= 0;

e457..  - b5 + b13 - b40 =L= 0;

e458..  - b5 + b15 - b41 =L= 0;

e459..  - b5 + b17 - b42 =L= 0;

e460..  - b5 + b19 - b43 =L= 0;

e461..  - b5 + b21 - b44 =L= 0;

e462..  - b5 + b23 - b45 =L= 0;

e463..  - b5 + b25 - b46 =L= 0;

e464..  - b7 + b9 - b47 =L= 0;

e465..  - b7 + b11 - b48 =L= 0;

e466..  - b7 + b13 - b49 =L= 0;

e467..  - b7 + b15 - b50 =L= 0;

e468..  - b7 + b17 - b51 =L= 0;

e469..  - b7 + b19 - b52 =L= 0;

e470..  - b7 + b21 - b53 =L= 0;

e471..  - b7 + b23 - b54 =L= 0;

e472..  - b7 + b25 - b55 =L= 0;

e473..  - b9 + b11 - b56 =L= 0;

e474..  - b9 + b13 - b57 =L= 0;

e475..  - b9 + b15 - b58 =L= 0;

e476..  - b9 + b17 - b59 =L= 0;

e477..  - b9 + b19 - b60 =L= 0;

e478..  - b9 + b21 - b61 =L= 0;

e479..  - b9 + b23 - b62 =L= 0;

e480..  - b9 + b25 - b63 =L= 0;

e481..  - b11 + b13 - b64 =L= 0;

e482..  - b11 + b15 - b65 =L= 0;

e483..  - b11 + b17 - b66 =L= 0;

e484..  - b11 + b19 - b67 =L= 0;

e485..  - b11 + b21 - b68 =L= 0;

e486..  - b11 + b23 - b69 =L= 0;

e487..  - b11 + b25 - b70 =L= 0;

e488..  - b13 + b15 - b71 =L= 0;

e489..  - b13 + b17 - b72 =L= 0;

e490..  - b13 + b19 - b73 =L= 0;

e491..  - b13 + b21 - b74 =L= 0;

e492..  - b13 + b23 - b75 =L= 0;

e493..  - b13 + b25 - b76 =L= 0;

e494..  - b15 + b17 - b77 =L= 0;

e495..  - b15 + b19 - b78 =L= 0;

e496..  - b15 + b21 - b79 =L= 0;

e497..  - b15 + b23 - b80 =L= 0;

e498..  - b15 + b25 - x82 =L= 0;

e499..  - b17 + b19 - x83 =L= 0;

e500..  - b17 + b21 - x84 =L= 0;

e501..  - b17 + b23 - x85 =L= 0;

e502..  - b17 + b25 - x86 =L= 0;

e503..  - b19 + b21 - x87 =L= 0;

e504..  - b19 + b23 - x88 =L= 0;

e505..  - b19 + b25 - x89 =L= 0;

e506..  - b21 + b23 - x90 =L= 0;

e507..  - b21 + b25 - x91 =L= 0;

e508..  - b23 + b25 - x92 =L= 0;

e509..  - b26 + b27 - b37 =L= 0;

e510..  - b26 + b28 - b38 =L= 0;

e511..  - b26 + b29 - b39 =L= 0;

e512..  - b26 + b30 - b40 =L= 0;

e513..  - b26 + b31 - b41 =L= 0;

e514..  - b26 + b32 - b42 =L= 0;

e515..  - b26 + b33 - b43 =L= 0;

e516..  - b26 + b34 - b44 =L= 0;

e517..  - b26 + b35 - b45 =L= 0;

e518..  - b26 + b36 - b46 =L= 0;

e519..  - b27 + b28 - b47 =L= 0;

e520..  - b27 + b29 - b48 =L= 0;

e521..  - b27 + b30 - b49 =L= 0;

e522..  - b27 + b31 - b50 =L= 0;

e523..  - b27 + b32 - b51 =L= 0;

e524..  - b27 + b33 - b52 =L= 0;

e525..  - b27 + b34 - b53 =L= 0;

e526..  - b27 + b35 - b54 =L= 0;

e527..  - b27 + b36 - b55 =L= 0;

e528..  - b28 + b29 - b56 =L= 0;

e529..  - b28 + b30 - b57 =L= 0;

e530..  - b28 + b31 - b58 =L= 0;

e531..  - b28 + b32 - b59 =L= 0;

e532..  - b28 + b33 - b60 =L= 0;

e533..  - b28 + b34 - b61 =L= 0;

e534..  - b28 + b35 - b62 =L= 0;

e535..  - b28 + b36 - b63 =L= 0;

e536..  - b29 + b30 - b64 =L= 0;

e537..  - b29 + b31 - b65 =L= 0;

e538..  - b29 + b32 - b66 =L= 0;

e539..  - b29 + b33 - b67 =L= 0;

e540..  - b29 + b34 - b68 =L= 0;

e541..  - b29 + b35 - b69 =L= 0;

e542..  - b29 + b36 - b70 =L= 0;

e543..  - b30 + b31 - b71 =L= 0;

e544..  - b30 + b32 - b72 =L= 0;

e545..  - b30 + b33 - b73 =L= 0;

e546..  - b30 + b34 - b74 =L= 0;

e547..  - b30 + b35 - b75 =L= 0;

e548..  - b30 + b36 - b76 =L= 0;

e549..  - b31 + b32 - b77 =L= 0;

e550..  - b31 + b33 - b78 =L= 0;

e551..  - b31 + b34 - b79 =L= 0;

e552..  - b31 + b35 - b80 =L= 0;

e553..  - b31 + b36 - x82 =L= 0;

e554..  - b32 + b33 - x83 =L= 0;

e555..  - b32 + b34 - x84 =L= 0;

e556..  - b32 + b35 - x85 =L= 0;

e557..  - b32 + b36 - x86 =L= 0;

e558..  - b33 + b34 - x87 =L= 0;

e559..  - b33 + b35 - x88 =L= 0;

e560..  - b33 + b36 - x89 =L= 0;

e561..  - b34 + b35 - x90 =L= 0;

e562..  - b34 + b36 - x91 =L= 0;

e563..  - b35 + b36 - x92 =L= 0;

e564..  - b37 + b38 - b47 =L= 0;

e565..  - b37 + b39 - b48 =L= 0;

e566..  - b37 + b40 - b49 =L= 0;

e567..  - b37 + b41 - b50 =L= 0;

e568..  - b37 + b42 - b51 =L= 0;

e569..  - b37 + b43 - b52 =L= 0;

e570..  - b37 + b44 - b53 =L= 0;

e571..  - b37 + b45 - b54 =L= 0;

e572..  - b37 + b46 - b55 =L= 0;

e573..  - b38 + b39 - b56 =L= 0;

e574..  - b38 + b40 - b57 =L= 0;

e575..  - b38 + b41 - b58 =L= 0;

e576..  - b38 + b42 - b59 =L= 0;

e577..  - b38 + b43 - b60 =L= 0;

e578..  - b38 + b44 - b61 =L= 0;

e579..  - b38 + b45 - b62 =L= 0;

e580..  - b38 + b46 - b63 =L= 0;

e581..  - b39 + b40 - b64 =L= 0;

e582..  - b39 + b41 - b65 =L= 0;

e583..  - b39 + b42 - b66 =L= 0;

e584..  - b39 + b43 - b67 =L= 0;

e585..  - b39 + b44 - b68 =L= 0;

e586..  - b39 + b45 - b69 =L= 0;

e587..  - b39 + b46 - b70 =L= 0;

e588..  - b40 + b41 - b71 =L= 0;

e589..  - b40 + b42 - b72 =L= 0;

e590..  - b40 + b43 - b73 =L= 0;

e591..  - b40 + b44 - b74 =L= 0;

e592..  - b40 + b45 - b75 =L= 0;

e593..  - b40 + b46 - b76 =L= 0;

e594..  - b41 + b42 - b77 =L= 0;

e595..  - b41 + b43 - b78 =L= 0;

e596..  - b41 + b44 - b79 =L= 0;

e597..  - b41 + b45 - b80 =L= 0;

e598..  - b41 + b46 - x82 =L= 0;

e599..  - b42 + b43 - x83 =L= 0;

e600..  - b42 + b44 - x84 =L= 0;

e601..  - b42 + b45 - x85 =L= 0;

e602..  - b42 + b46 - x86 =L= 0;

e603..  - b43 + b44 - x87 =L= 0;

e604..  - b43 + b45 - x88 =L= 0;

e605..  - b43 + b46 - x89 =L= 0;

e606..  - b44 + b45 - x90 =L= 0;

e607..  - b44 + b46 - x91 =L= 0;

e608..  - b45 + b46 - x92 =L= 0;

e609..  - b47 + b48 - b56 =L= 0;

e610..  - b47 + b49 - b57 =L= 0;

e611..  - b47 + b50 - b58 =L= 0;

e612..  - b47 + b51 - b59 =L= 0;

e613..  - b47 + b52 - b60 =L= 0;

e614..  - b47 + b53 - b61 =L= 0;

e615..  - b47 + b54 - b62 =L= 0;

e616..  - b47 + b55 - b63 =L= 0;

e617..  - b48 + b49 - b64 =L= 0;

e618..  - b48 + b50 - b65 =L= 0;

e619..  - b48 + b51 - b66 =L= 0;

e620..  - b48 + b52 - b67 =L= 0;

e621..  - b48 + b53 - b68 =L= 0;

e622..  - b48 + b54 - b69 =L= 0;

e623..  - b48 + b55 - b70 =L= 0;

e624..  - b49 + b50 - b71 =L= 0;

e625..  - b49 + b51 - b72 =L= 0;

e626..  - b49 + b52 - b73 =L= 0;

e627..  - b49 + b53 - b74 =L= 0;

e628..  - b49 + b54 - b75 =L= 0;

e629..  - b49 + b55 - b76 =L= 0;

e630..  - b50 + b51 - b77 =L= 0;

e631..  - b50 + b52 - b78 =L= 0;

e632..  - b50 + b53 - b79 =L= 0;

e633..  - b50 + b54 - b80 =L= 0;

e634..  - b50 + b55 - x82 =L= 0;

e635..  - b51 + b52 - x83 =L= 0;

e636..  - b51 + b53 - x84 =L= 0;

e637..  - b51 + b54 - x85 =L= 0;

e638..  - b51 + b55 - x86 =L= 0;

e639..  - b52 + b53 - x87 =L= 0;

e640..  - b52 + b54 - x88 =L= 0;

e641..  - b52 + b55 - x89 =L= 0;

e642..  - b53 + b54 - x90 =L= 0;

e643..  - b53 + b55 - x91 =L= 0;

e644..  - b54 + b55 - x92 =L= 0;

e645..  - b56 + b57 - b64 =L= 0;

e646..  - b56 + b58 - b65 =L= 0;

e647..  - b56 + b59 - b66 =L= 0;

e648..  - b56 + b60 - b67 =L= 0;

e649..  - b56 + b61 - b68 =L= 0;

e650..  - b56 + b62 - b69 =L= 0;

e651..  - b56 + b63 - b70 =L= 0;

e652..  - b57 + b58 - b71 =L= 0;

e653..  - b57 + b59 - b72 =L= 0;

e654..  - b57 + b60 - b73 =L= 0;

e655..  - b57 + b61 - b74 =L= 0;

e656..  - b57 + b62 - b75 =L= 0;

e657..  - b57 + b63 - b76 =L= 0;

e658..  - b58 + b59 - b77 =L= 0;

e659..  - b58 + b60 - b78 =L= 0;

e660..  - b58 + b61 - b79 =L= 0;

e661..  - b58 + b62 - b80 =L= 0;

e662..  - b58 + b63 - x82 =L= 0;

e663..  - b59 + b60 - x83 =L= 0;

e664..  - b59 + b61 - x84 =L= 0;

e665..  - b59 + b62 - x85 =L= 0;

e666..  - b59 + b63 - x86 =L= 0;

e667..  - b60 + b61 - x87 =L= 0;

e668..  - b60 + b62 - x88 =L= 0;

e669..  - b60 + b63 - x89 =L= 0;

e670..  - b61 + b62 - x90 =L= 0;

e671..  - b61 + b63 - x91 =L= 0;

e672..  - b62 + b63 - x92 =L= 0;

e673..  - b64 + b65 - b71 =L= 0;

e674..  - b64 + b66 - b72 =L= 0;

e675..  - b64 + b67 - b73 =L= 0;

e676..  - b64 + b68 - b74 =L= 0;

e677..  - b64 + b69 - b75 =L= 0;

e678..  - b64 + b70 - b76 =L= 0;

e679..  - b65 + b66 - b77 =L= 0;

e680..  - b65 + b67 - b78 =L= 0;

e681..  - b65 + b68 - b79 =L= 0;

e682..  - b65 + b69 - b80 =L= 0;

e683..  - b65 + b70 - x82 =L= 0;

e684..  - b66 + b67 - x83 =L= 0;

e685..  - b66 + b68 - x84 =L= 0;

e686..  - b66 + b69 - x85 =L= 0;

e687..  - b66 + b70 - x86 =L= 0;

e688..  - b67 + b68 - x87 =L= 0;

e689..  - b67 + b69 - x88 =L= 0;

e690..  - b67 + b70 - x89 =L= 0;

e691..  - b68 + b69 - x90 =L= 0;

e692..  - b68 + b70 - x91 =L= 0;

e693..  - b69 + b70 - x92 =L= 0;

e694..  - b71 + b72 - b77 =L= 0;

e695..  - b71 + b73 - b78 =L= 0;

e696..  - b71 + b74 - b79 =L= 0;

e697..  - b71 + b75 - b80 =L= 0;

e698..  - b71 + b76 - x82 =L= 0;

e699..  - b72 + b73 - x83 =L= 0;

e700..  - b72 + b74 - x84 =L= 0;

e701..  - b72 + b75 - x85 =L= 0;

e702..  - b72 + b76 - x86 =L= 0;

e703..  - b73 + b74 - x87 =L= 0;

e704..  - b73 + b75 - x88 =L= 0;

e705..  - b73 + b76 - x89 =L= 0;

e706..  - b74 + b75 - x90 =L= 0;

e707..  - b74 + b76 - x91 =L= 0;

e708..  - b75 + b76 - x92 =L= 0;

e709..  - b77 + b78 - x83 =L= 0;

e710..  - b77 + b79 - x84 =L= 0;

e711..  - b77 + b80 - x85 =L= 0;

e712..  - b77 + x82 - x86 =L= 0;

e713..  - b78 + b79 - x87 =L= 0;

e714..  - b78 + b80 - x88 =L= 0;

e715..  - b78 + x82 - x89 =L= 0;

e716..  - b79 + b80 - x90 =L= 0;

e717..  - b79 + x82 - x91 =L= 0;

e718..  - b80 + x82 - x92 =L= 0;

e719..  - x83 + x84 - x87 =L= 0;

e720..  - x83 + x85 - x88 =L= 0;

e721..  - x83 + x86 - x89 =L= 0;

e722..  - x84 + x85 - x90 =L= 0;

e723..  - x84 + x86 - x91 =L= 0;

e724..  - x85 + x86 - x92 =L= 0;

e725..  - x87 + x88 - x90 =L= 0;

e726..  - x87 + x89 - x91 =L= 0;

e727..  - x88 + x89 - x92 =L= 0;

e728..  - x90 + x91 - x92 =L= 0;

e729..  - x93 + x94 + x95 =L= 1;

e730..    x95 - x96 + x97 =L= 1;

e731..    x95 - x98 + x99 =L= 1;

e732..    x95 - x100 + x101 =L= 1;

e733..    x95 - x102 + x103 =L= 1;

e734..    x95 - x104 + x105 =L= 1;

e735..    x95 - x106 + x107 =L= 1;

e736..    x95 - x108 + x109 =L= 1;

e737..    x95 - x110 + x111 =L= 1;

e738..    x95 - x112 + x113 =L= 1;

e739..    x95 - x114 + x115 =L= 1;

e740..    x95 - x116 + x117 =L= 1;

e741..    x93 - x96 + x118 =L= 1;

e742..    x93 - x98 + x119 =L= 1;

e743..    x93 - x100 + x120 =L= 1;

e744..    x93 - x102 + x121 =L= 1;

e745..    x93 - x104 + x122 =L= 1;

e746..    x93 - x106 + x123 =L= 1;

e747..    x93 - x108 + x124 =L= 1;

e748..    x93 - x110 + x125 =L= 1;

e749..    x93 - x112 + x126 =L= 1;

e750..    x93 - x114 + x127 =L= 1;

e751..    x93 - x116 + x128 =L= 1;

e752..    x96 - x98 + x129 =L= 1;

e753..    x96 - x100 + x130 =L= 1;

e754..    x96 - x102 + x131 =L= 1;

e755..    x96 - x104 + x132 =L= 1;

e756..    x96 - x106 + x133 =L= 1;

e757..    x96 - x108 + x134 =L= 1;

e758..    x96 - x110 + x135 =L= 1;

e759..    x96 - x112 + x136 =L= 1;

e760..    x96 - x114 + x137 =L= 1;

e761..    x96 - x116 + x138 =L= 1;

e762..    x98 - x100 + x139 =L= 1;

e763..    x98 - x102 + x140 =L= 1;

e764..    x98 - x104 + x141 =L= 1;

e765..    x98 - x106 + x142 =L= 1;

e766..    x98 - x108 + x143 =L= 1;

e767..    x98 - x110 + x144 =L= 1;

e768..    x98 - x112 + x145 =L= 1;

e769..    x98 - x114 + x146 =L= 1;

e770..    x98 - x116 + x147 =L= 1;

e771..    x100 - x102 + x148 =L= 1;

e772..    x100 - x104 + x149 =L= 1;

e773..    x100 - x106 + x150 =L= 1;

e774..    x100 - x108 + x151 =L= 1;

e775..    x100 - x110 + x152 =L= 1;

e776..    x100 - x112 + x153 =L= 1;

e777..    x100 - x114 + x154 =L= 1;

e778..    x100 - x116 + x155 =L= 1;

e779..    x102 - x104 + x156 =L= 1;

e780..    x102 - x106 + x157 =L= 1;

e781..    x102 - x108 + x158 =L= 1;

e782..    x102 - x110 + x159 =L= 1;

e783..    x102 - x112 + x160 =L= 1;

e784..    x102 - x114 + x161 =L= 1;

e785..    x102 - x116 + x162 =L= 1;

e786..    x104 - x106 + x163 =L= 1;

e787..    x104 - x108 + x164 =L= 1;

e788..    x104 - x110 + x165 =L= 1;

e789..    x104 - x112 + x166 =L= 1;

e790..    x104 - x114 + x167 =L= 1;

e791..    x104 - x116 + x168 =L= 1;

e792..    x106 - x108 + x169 =L= 1;

e793..    x106 - x110 + x170 =L= 1;

e794..    x106 - x112 + x171 =L= 1;

e795..    x106 - x114 + x172 =L= 1;

e796..    x106 - x116 + x173 =L= 1;

e797..    x108 - x110 + x174 =L= 1;

e798..    x108 - x112 + x175 =L= 1;

e799..    x108 - x114 + x176 =L= 1;

e800..    x108 - x116 + x177 =L= 1;

e801..    x110 - x112 + x178 =L= 1;

e802..    x110 - x114 + x179 =L= 1;

e803..    x110 - x116 + x180 =L= 1;

e804..    x112 - x114 + x181 =L= 1;

e805..    x112 - x116 + x182 =L= 1;

e806..    x114 - x116 + x183 =L= 1;

e807..    x94 - x97 + x118 =L= 1;

e808..    x94 - x99 + x119 =L= 1;

e809..    x94 - x101 + x120 =L= 1;

e810..    x94 - x103 + x121 =L= 1;

e811..    x94 - x105 + x122 =L= 1;

e812..    x94 - x107 + x123 =L= 1;

e813..    x94 - x109 + x124 =L= 1;

e814..    x94 - x111 + x125 =L= 1;

e815..    x94 - x113 + x126 =L= 1;

e816..    x94 - x115 + x127 =L= 1;

e817..    x94 - x117 + x128 =L= 1;

e818..    x97 - x99 + x129 =L= 1;

e819..    x97 - x101 + x130 =L= 1;

e820..    x97 - x103 + x131 =L= 1;

e821..    x97 - x105 + x132 =L= 1;

e822..    x97 - x107 + x133 =L= 1;

e823..    x97 - x109 + x134 =L= 1;

e824..    x97 - x111 + x135 =L= 1;

e825..    x97 - x113 + x136 =L= 1;

e826..    x97 - x115 + x137 =L= 1;

e827..    x97 - x117 + x138 =L= 1;

e828..    x99 - x101 + x139 =L= 1;

e829..    x99 - x103 + x140 =L= 1;

e830..    x99 - x105 + x141 =L= 1;

e831..    x99 - x107 + x142 =L= 1;

e832..    x99 - x109 + x143 =L= 1;

e833..    x99 - x111 + x144 =L= 1;

e834..    x99 - x113 + x145 =L= 1;

e835..    x99 - x115 + x146 =L= 1;

e836..    x99 - x117 + x147 =L= 1;

e837..    x101 - x103 + x148 =L= 1;

e838..    x101 - x105 + x149 =L= 1;

e839..    x101 - x107 + x150 =L= 1;

e840..    x101 - x109 + x151 =L= 1;

e841..    x101 - x111 + x152 =L= 1;

e842..    x101 - x113 + x153 =L= 1;

e843..    x101 - x115 + x154 =L= 1;

e844..    x101 - x117 + x155 =L= 1;

e845..    x103 - x105 + x156 =L= 1;

e846..    x103 - x107 + x157 =L= 1;

e847..    x103 - x109 + x158 =L= 1;

e848..    x103 - x111 + x159 =L= 1;

e849..    x103 - x113 + x160 =L= 1;

e850..    x103 - x115 + x161 =L= 1;

e851..    x103 - x117 + x162 =L= 1;

e852..    x105 - x107 + x163 =L= 1;

e853..    x105 - x109 + x164 =L= 1;

e854..    x105 - x111 + x165 =L= 1;

e855..    x105 - x113 + x166 =L= 1;

e856..    x105 - x115 + x167 =L= 1;

e857..    x105 - x117 + x168 =L= 1;

e858..    x107 - x109 + x169 =L= 1;

e859..    x107 - x111 + x170 =L= 1;

e860..    x107 - x113 + x171 =L= 1;

e861..    x107 - x115 + x172 =L= 1;

e862..    x107 - x117 + x173 =L= 1;

e863..    x109 - x111 + x174 =L= 1;

e864..    x109 - x113 + x175 =L= 1;

e865..    x109 - x115 + x176 =L= 1;

e866..    x109 - x117 + x177 =L= 1;

e867..    x111 - x113 + x178 =L= 1;

e868..    x111 - x115 + x179 =L= 1;

e869..    x111 - x117 + x180 =L= 1;

e870..    x113 - x115 + x181 =L= 1;

e871..    x113 - x117 + x182 =L= 1;

e872..    x115 - x117 + x183 =L= 1;

e873..    x118 - x119 + x129 =L= 1;

e874..    x118 - x120 + x130 =L= 1;

e875..    x118 - x121 + x131 =L= 1;

e876..    x118 - x122 + x132 =L= 1;

e877..    x118 - x123 + x133 =L= 1;

e878..    x118 - x124 + x134 =L= 1;

e879..    x118 - x125 + x135 =L= 1;

e880..    x118 - x126 + x136 =L= 1;

e881..    x118 - x127 + x137 =L= 1;

e882..    x118 - x128 + x138 =L= 1;

e883..    x119 - x120 + x139 =L= 1;

e884..    x119 - x121 + x140 =L= 1;

e885..    x119 - x122 + x141 =L= 1;

e886..    x119 - x123 + x142 =L= 1;

e887..    x119 - x124 + x143 =L= 1;

e888..    x119 - x125 + x144 =L= 1;

e889..    x119 - x126 + x145 =L= 1;

e890..    x119 - x127 + x146 =L= 1;

e891..    x119 - x128 + x147 =L= 1;

e892..    x120 - x121 + x148 =L= 1;

e893..    x120 - x122 + x149 =L= 1;

e894..    x120 - x123 + x150 =L= 1;

e895..    x120 - x124 + x151 =L= 1;

e896..    x120 - x125 + x152 =L= 1;

e897..    x120 - x126 + x153 =L= 1;

e898..    x120 - x127 + x154 =L= 1;

e899..    x120 - x128 + x155 =L= 1;

e900..    x121 - x122 + x156 =L= 1;

e901..    x121 - x123 + x157 =L= 1;

e902..    x121 - x124 + x158 =L= 1;

e903..    x121 - x125 + x159 =L= 1;

e904..    x121 - x126 + x160 =L= 1;

e905..    x121 - x127 + x161 =L= 1;

e906..    x121 - x128 + x162 =L= 1;

e907..    x122 - x123 + x163 =L= 1;

e908..    x122 - x124 + x164 =L= 1;

e909..    x122 - x125 + x165 =L= 1;

e910..    x122 - x126 + x166 =L= 1;

e911..    x122 - x127 + x167 =L= 1;

e912..    x122 - x128 + x168 =L= 1;

e913..    x123 - x124 + x169 =L= 1;

e914..    x123 - x125 + x170 =L= 1;

e915..    x123 - x126 + x171 =L= 1;

e916..    x123 - x127 + x172 =L= 1;

e917..    x123 - x128 + x173 =L= 1;

e918..    x124 - x125 + x174 =L= 1;

e919..    x124 - x126 + x175 =L= 1;

e920..    x124 - x127 + x176 =L= 1;

e921..    x124 - x128 + x177 =L= 1;

e922..    x125 - x126 + x178 =L= 1;

e923..    x125 - x127 + x179 =L= 1;

e924..    x125 - x128 + x180 =L= 1;

e925..    x126 - x127 + x181 =L= 1;

e926..    x126 - x128 + x182 =L= 1;

e927..    x127 - x128 + x183 =L= 1;

e928..    x129 - x130 + x139 =L= 1;

e929..    x129 - x131 + x140 =L= 1;

e930..    x129 - x132 + x141 =L= 1;

e931..    x129 - x133 + x142 =L= 1;

e932..    x129 - x134 + x143 =L= 1;

e933..    x129 - x135 + x144 =L= 1;

e934..    x129 - x136 + x145 =L= 1;

e935..    x129 - x137 + x146 =L= 1;

e936..    x129 - x138 + x147 =L= 1;

e937..    x130 - x131 + x148 =L= 1;

e938..    x130 - x132 + x149 =L= 1;

e939..    x130 - x133 + x150 =L= 1;

e940..    x130 - x134 + x151 =L= 1;

e941..    x130 - x135 + x152 =L= 1;

e942..    x130 - x136 + x153 =L= 1;

e943..    x130 - x137 + x154 =L= 1;

e944..    x130 - x138 + x155 =L= 1;

e945..    x131 - x132 + x156 =L= 1;

e946..    x131 - x133 + x157 =L= 1;

e947..    x131 - x134 + x158 =L= 1;

e948..    x131 - x135 + x159 =L= 1;

e949..    x131 - x136 + x160 =L= 1;

e950..    x131 - x137 + x161 =L= 1;

e951..    x131 - x138 + x162 =L= 1;

e952..    x132 - x133 + x163 =L= 1;

e953..    x132 - x134 + x164 =L= 1;

e954..    x132 - x135 + x165 =L= 1;

e955..    x132 - x136 + x166 =L= 1;

e956..    x132 - x137 + x167 =L= 1;

e957..    x132 - x138 + x168 =L= 1;

e958..    x133 - x134 + x169 =L= 1;

e959..    x133 - x135 + x170 =L= 1;

e960..    x133 - x136 + x171 =L= 1;

e961..    x133 - x137 + x172 =L= 1;

e962..    x133 - x138 + x173 =L= 1;

e963..    x134 - x135 + x174 =L= 1;

e964..    x134 - x136 + x175 =L= 1;

e965..    x134 - x137 + x176 =L= 1;

e966..    x134 - x138 + x177 =L= 1;

e967..    x135 - x136 + x178 =L= 1;

e968..    x135 - x137 + x179 =L= 1;

e969..    x135 - x138 + x180 =L= 1;

e970..    x136 - x137 + x181 =L= 1;

e971..    x136 - x138 + x182 =L= 1;

e972..    x137 - x138 + x183 =L= 1;

e973..    x139 - x140 + x148 =L= 1;

e974..    x139 - x141 + x149 =L= 1;

e975..    x139 - x142 + x150 =L= 1;

e976..    x139 - x143 + x151 =L= 1;

e977..    x139 - x144 + x152 =L= 1;

e978..    x139 - x145 + x153 =L= 1;

e979..    x139 - x146 + x154 =L= 1;

e980..    x139 - x147 + x155 =L= 1;

e981..    x140 - x141 + x156 =L= 1;

e982..    x140 - x142 + x157 =L= 1;

e983..    x140 - x143 + x158 =L= 1;

e984..    x140 - x144 + x159 =L= 1;

e985..    x140 - x145 + x160 =L= 1;

e986..    x140 - x146 + x161 =L= 1;

e987..    x140 - x147 + x162 =L= 1;

e988..    x141 - x142 + x163 =L= 1;

e989..    x141 - x143 + x164 =L= 1;

e990..    x141 - x144 + x165 =L= 1;

e991..    x141 - x145 + x166 =L= 1;

e992..    x141 - x146 + x167 =L= 1;

e993..    x141 - x147 + x168 =L= 1;

e994..    x142 - x143 + x169 =L= 1;

e995..    x142 - x144 + x170 =L= 1;

e996..    x142 - x145 + x171 =L= 1;

e997..    x142 - x146 + x172 =L= 1;

e998..    x142 - x147 + x173 =L= 1;

e999..    x143 - x144 + x174 =L= 1;

e1000..    x143 - x145 + x175 =L= 1;

e1001..    x143 - x146 + x176 =L= 1;

e1002..    x143 - x147 + x177 =L= 1;

e1003..    x144 - x145 + x178 =L= 1;

e1004..    x144 - x146 + x179 =L= 1;

e1005..    x144 - x147 + x180 =L= 1;

e1006..    x145 - x146 + x181 =L= 1;

e1007..    x145 - x147 + x182 =L= 1;

e1008..    x146 - x147 + x183 =L= 1;

e1009..    x148 - x149 + x156 =L= 1;

e1010..    x148 - x150 + x157 =L= 1;

e1011..    x148 - x151 + x158 =L= 1;

e1012..    x148 - x152 + x159 =L= 1;

e1013..    x148 - x153 + x160 =L= 1;

e1014..    x148 - x154 + x161 =L= 1;

e1015..    x148 - x155 + x162 =L= 1;

e1016..    x149 - x150 + x163 =L= 1;

e1017..    x149 - x151 + x164 =L= 1;

e1018..    x149 - x152 + x165 =L= 1;

e1019..    x149 - x153 + x166 =L= 1;

e1020..    x149 - x154 + x167 =L= 1;

e1021..    x149 - x155 + x168 =L= 1;

e1022..    x150 - x151 + x169 =L= 1;

e1023..    x150 - x152 + x170 =L= 1;

e1024..    x150 - x153 + x171 =L= 1;

e1025..    x150 - x154 + x172 =L= 1;

e1026..    x150 - x155 + x173 =L= 1;

e1027..    x151 - x152 + x174 =L= 1;

e1028..    x151 - x153 + x175 =L= 1;

e1029..    x151 - x154 + x176 =L= 1;

e1030..    x151 - x155 + x177 =L= 1;

e1031..    x152 - x153 + x178 =L= 1;

e1032..    x152 - x154 + x179 =L= 1;

e1033..    x152 - x155 + x180 =L= 1;

e1034..    x153 - x154 + x181 =L= 1;

e1035..    x153 - x155 + x182 =L= 1;

e1036..    x154 - x155 + x183 =L= 1;

e1037..    x156 - x157 + x163 =L= 1;

e1038..    x156 - x158 + x164 =L= 1;

e1039..    x156 - x159 + x165 =L= 1;

e1040..    x156 - x160 + x166 =L= 1;

e1041..    x156 - x161 + x167 =L= 1;

e1042..    x156 - x162 + x168 =L= 1;

e1043..    x157 - x158 + x169 =L= 1;

e1044..    x157 - x159 + x170 =L= 1;

e1045..    x157 - x160 + x171 =L= 1;

e1046..    x157 - x161 + x172 =L= 1;

e1047..    x157 - x162 + x173 =L= 1;

e1048..    x158 - x159 + x174 =L= 1;

e1049..    x158 - x160 + x175 =L= 1;

e1050..    x158 - x161 + x176 =L= 1;

e1051..    x158 - x162 + x177 =L= 1;

e1052..    x159 - x160 + x178 =L= 1;

e1053..    x159 - x161 + x179 =L= 1;

e1054..    x159 - x162 + x180 =L= 1;

e1055..    x160 - x161 + x181 =L= 1;

e1056..    x160 - x162 + x182 =L= 1;

e1057..    x161 - x162 + x183 =L= 1;

e1058..    x163 - x164 + x169 =L= 1;

e1059..    x163 - x165 + x170 =L= 1;

e1060..    x163 - x166 + x171 =L= 1;

e1061..    x163 - x167 + x172 =L= 1;

e1062..    x163 - x168 + x173 =L= 1;

e1063..    x164 - x165 + x174 =L= 1;

e1064..    x164 - x166 + x175 =L= 1;

e1065..    x164 - x167 + x176 =L= 1;

e1066..    x164 - x168 + x177 =L= 1;

e1067..    x165 - x166 + x178 =L= 1;

e1068..    x165 - x167 + x179 =L= 1;

e1069..    x165 - x168 + x180 =L= 1;

e1070..    x166 - x167 + x181 =L= 1;

e1071..    x166 - x168 + x182 =L= 1;

e1072..    x167 - x168 + x183 =L= 1;

e1073..    x169 - x170 + x174 =L= 1;

e1074..    x169 - x171 + x175 =L= 1;

e1075..    x169 - x172 + x176 =L= 1;

e1076..    x169 - x173 + x177 =L= 1;

e1077..    x170 - x171 + x178 =L= 1;

e1078..    x170 - x172 + x179 =L= 1;

e1079..    x170 - x173 + x180 =L= 1;

e1080..    x171 - x172 + x181 =L= 1;

e1081..    x171 - x173 + x182 =L= 1;

e1082..    x172 - x173 + x183 =L= 1;

e1083..    x174 - x175 + x178 =L= 1;

e1084..    x174 - x176 + x179 =L= 1;

e1085..    x174 - x177 + x180 =L= 1;

e1086..    x175 - x176 + x181 =L= 1;

e1087..    x175 - x177 + x182 =L= 1;

e1088..    x176 - x177 + x183 =L= 1;

e1089..    x178 - x179 + x181 =L= 1;

e1090..    x178 - x180 + x182 =L= 1;

e1091..    x179 - x180 + x183 =L= 1;

e1092..    x181 - x182 + x183 =L= 1;

e1093..    x93 - x94 - x95 =L= 0;

e1094..  - x95 + x96 - x97 =L= 0;

e1095..  - x95 + x98 - x99 =L= 0;

e1096..  - x95 + x100 - x101 =L= 0;

e1097..  - x95 + x102 - x103 =L= 0;

e1098..  - x95 + x104 - x105 =L= 0;

e1099..  - x95 + x106 - x107 =L= 0;

e1100..  - x95 + x108 - x109 =L= 0;

e1101..  - x95 + x110 - x111 =L= 0;

e1102..  - x95 + x112 - x113 =L= 0;

e1103..  - x95 + x114 - x115 =L= 0;

e1104..  - x95 + x116 - x117 =L= 0;

e1105..  - x93 + x96 - x118 =L= 0;

e1106..  - x93 + x98 - x119 =L= 0;

e1107..  - x93 + x100 - x120 =L= 0;

e1108..  - x93 + x102 - x121 =L= 0;

e1109..  - x93 + x104 - x122 =L= 0;

e1110..  - x93 + x106 - x123 =L= 0;

e1111..  - x93 + x108 - x124 =L= 0;

e1112..  - x93 + x110 - x125 =L= 0;

e1113..  - x93 + x112 - x126 =L= 0;

e1114..  - x93 + x114 - x127 =L= 0;

e1115..  - x93 + x116 - x128 =L= 0;

e1116..  - x96 + x98 - x129 =L= 0;

e1117..  - x96 + x100 - x130 =L= 0;

e1118..  - x96 + x102 - x131 =L= 0;

e1119..  - x96 + x104 - x132 =L= 0;

e1120..  - x96 + x106 - x133 =L= 0;

e1121..  - x96 + x108 - x134 =L= 0;

e1122..  - x96 + x110 - x135 =L= 0;

e1123..  - x96 + x112 - x136 =L= 0;

e1124..  - x96 + x114 - x137 =L= 0;

e1125..  - x96 + x116 - x138 =L= 0;

e1126..  - x98 + x100 - x139 =L= 0;

e1127..  - x98 + x102 - x140 =L= 0;

e1128..  - x98 + x104 - x141 =L= 0;

e1129..  - x98 + x106 - x142 =L= 0;

e1130..  - x98 + x108 - x143 =L= 0;

e1131..  - x98 + x110 - x144 =L= 0;

e1132..  - x98 + x112 - x145 =L= 0;

e1133..  - x98 + x114 - x146 =L= 0;

e1134..  - x98 + x116 - x147 =L= 0;

e1135..  - x100 + x102 - x148 =L= 0;

e1136..  - x100 + x104 - x149 =L= 0;

e1137..  - x100 + x106 - x150 =L= 0;

e1138..  - x100 + x108 - x151 =L= 0;

e1139..  - x100 + x110 - x152 =L= 0;

e1140..  - x100 + x112 - x153 =L= 0;

e1141..  - x100 + x114 - x154 =L= 0;

e1142..  - x100 + x116 - x155 =L= 0;

e1143..  - x102 + x104 - x156 =L= 0;

e1144..  - x102 + x106 - x157 =L= 0;

e1145..  - x102 + x108 - x158 =L= 0;

e1146..  - x102 + x110 - x159 =L= 0;

e1147..  - x102 + x112 - x160 =L= 0;

e1148..  - x102 + x114 - x161 =L= 0;

e1149..  - x102 + x116 - x162 =L= 0;

e1150..  - x104 + x106 - x163 =L= 0;

e1151..  - x104 + x108 - x164 =L= 0;

e1152..  - x104 + x110 - x165 =L= 0;

e1153..  - x104 + x112 - x166 =L= 0;

e1154..  - x104 + x114 - x167 =L= 0;

e1155..  - x104 + x116 - x168 =L= 0;

e1156..  - x106 + x108 - x169 =L= 0;

e1157..  - x106 + x110 - x170 =L= 0;

e1158..  - x106 + x112 - x171 =L= 0;

e1159..  - x106 + x114 - x172 =L= 0;

e1160..  - x106 + x116 - x173 =L= 0;

e1161..  - x108 + x110 - x174 =L= 0;

e1162..  - x108 + x112 - x175 =L= 0;

e1163..  - x108 + x114 - x176 =L= 0;

e1164..  - x108 + x116 - x177 =L= 0;

e1165..  - x110 + x112 - x178 =L= 0;

e1166..  - x110 + x114 - x179 =L= 0;

e1167..  - x110 + x116 - x180 =L= 0;

e1168..  - x112 + x114 - x181 =L= 0;

e1169..  - x112 + x116 - x182 =L= 0;

e1170..  - x114 + x116 - x183 =L= 0;

e1171..  - x94 + x97 - x118 =L= 0;

e1172..  - x94 + x99 - x119 =L= 0;

e1173..  - x94 + x101 - x120 =L= 0;

e1174..  - x94 + x103 - x121 =L= 0;

e1175..  - x94 + x105 - x122 =L= 0;

e1176..  - x94 + x107 - x123 =L= 0;

e1177..  - x94 + x109 - x124 =L= 0;

e1178..  - x94 + x111 - x125 =L= 0;

e1179..  - x94 + x113 - x126 =L= 0;

e1180..  - x94 + x115 - x127 =L= 0;

e1181..  - x94 + x117 - x128 =L= 0;

e1182..  - x97 + x99 - x129 =L= 0;

e1183..  - x97 + x101 - x130 =L= 0;

e1184..  - x97 + x103 - x131 =L= 0;

e1185..  - x97 + x105 - x132 =L= 0;

e1186..  - x97 + x107 - x133 =L= 0;

e1187..  - x97 + x109 - x134 =L= 0;

e1188..  - x97 + x111 - x135 =L= 0;

e1189..  - x97 + x113 - x136 =L= 0;

e1190..  - x97 + x115 - x137 =L= 0;

e1191..  - x97 + x117 - x138 =L= 0;

e1192..  - x99 + x101 - x139 =L= 0;

e1193..  - x99 + x103 - x140 =L= 0;

e1194..  - x99 + x105 - x141 =L= 0;

e1195..  - x99 + x107 - x142 =L= 0;

e1196..  - x99 + x109 - x143 =L= 0;

e1197..  - x99 + x111 - x144 =L= 0;

e1198..  - x99 + x113 - x145 =L= 0;

e1199..  - x99 + x115 - x146 =L= 0;

e1200..  - x99 + x117 - x147 =L= 0;

e1201..  - x101 + x103 - x148 =L= 0;

e1202..  - x101 + x105 - x149 =L= 0;

e1203..  - x101 + x107 - x150 =L= 0;

e1204..  - x101 + x109 - x151 =L= 0;

e1205..  - x101 + x111 - x152 =L= 0;

e1206..  - x101 + x113 - x153 =L= 0;

e1207..  - x101 + x115 - x154 =L= 0;

e1208..  - x101 + x117 - x155 =L= 0;

e1209..  - x103 + x105 - x156 =L= 0;

e1210..  - x103 + x107 - x157 =L= 0;

e1211..  - x103 + x109 - x158 =L= 0;

e1212..  - x103 + x111 - x159 =L= 0;

e1213..  - x103 + x113 - x160 =L= 0;

e1214..  - x103 + x115 - x161 =L= 0;

e1215..  - x103 + x117 - x162 =L= 0;

e1216..  - x105 + x107 - x163 =L= 0;

e1217..  - x105 + x109 - x164 =L= 0;

e1218..  - x105 + x111 - x165 =L= 0;

e1219..  - x105 + x113 - x166 =L= 0;

e1220..  - x105 + x115 - x167 =L= 0;

e1221..  - x105 + x117 - x168 =L= 0;

e1222..  - x107 + x109 - x169 =L= 0;

e1223..  - x107 + x111 - x170 =L= 0;

e1224..  - x107 + x113 - x171 =L= 0;

e1225..  - x107 + x115 - x172 =L= 0;

e1226..  - x107 + x117 - x173 =L= 0;

e1227..  - x109 + x111 - x174 =L= 0;

e1228..  - x109 + x113 - x175 =L= 0;

e1229..  - x109 + x115 - x176 =L= 0;

e1230..  - x109 + x117 - x177 =L= 0;

e1231..  - x111 + x113 - x178 =L= 0;

e1232..  - x111 + x115 - x179 =L= 0;

e1233..  - x111 + x117 - x180 =L= 0;

e1234..  - x113 + x115 - x181 =L= 0;

e1235..  - x113 + x117 - x182 =L= 0;

e1236..  - x115 + x117 - x183 =L= 0;

e1237..  - x118 + x119 - x129 =L= 0;

e1238..  - x118 + x120 - x130 =L= 0;

e1239..  - x118 + x121 - x131 =L= 0;

e1240..  - x118 + x122 - x132 =L= 0;

e1241..  - x118 + x123 - x133 =L= 0;

e1242..  - x118 + x124 - x134 =L= 0;

e1243..  - x118 + x125 - x135 =L= 0;

e1244..  - x118 + x126 - x136 =L= 0;

e1245..  - x118 + x127 - x137 =L= 0;

e1246..  - x118 + x128 - x138 =L= 0;

e1247..  - x119 + x120 - x139 =L= 0;

e1248..  - x119 + x121 - x140 =L= 0;

e1249..  - x119 + x122 - x141 =L= 0;

e1250..  - x119 + x123 - x142 =L= 0;

e1251..  - x119 + x124 - x143 =L= 0;

e1252..  - x119 + x125 - x144 =L= 0;

e1253..  - x119 + x126 - x145 =L= 0;

e1254..  - x119 + x127 - x146 =L= 0;

e1255..  - x119 + x128 - x147 =L= 0;

e1256..  - x120 + x121 - x148 =L= 0;

e1257..  - x120 + x122 - x149 =L= 0;

e1258..  - x120 + x123 - x150 =L= 0;

e1259..  - x120 + x124 - x151 =L= 0;

e1260..  - x120 + x125 - x152 =L= 0;

e1261..  - x120 + x126 - x153 =L= 0;

e1262..  - x120 + x127 - x154 =L= 0;

e1263..  - x120 + x128 - x155 =L= 0;

e1264..  - x121 + x122 - x156 =L= 0;

e1265..  - x121 + x123 - x157 =L= 0;

e1266..  - x121 + x124 - x158 =L= 0;

e1267..  - x121 + x125 - x159 =L= 0;

e1268..  - x121 + x126 - x160 =L= 0;

e1269..  - x121 + x127 - x161 =L= 0;

e1270..  - x121 + x128 - x162 =L= 0;

e1271..  - x122 + x123 - x163 =L= 0;

e1272..  - x122 + x124 - x164 =L= 0;

e1273..  - x122 + x125 - x165 =L= 0;

e1274..  - x122 + x126 - x166 =L= 0;

e1275..  - x122 + x127 - x167 =L= 0;

e1276..  - x122 + x128 - x168 =L= 0;

e1277..  - x123 + x124 - x169 =L= 0;

e1278..  - x123 + x125 - x170 =L= 0;

e1279..  - x123 + x126 - x171 =L= 0;

e1280..  - x123 + x127 - x172 =L= 0;

e1281..  - x123 + x128 - x173 =L= 0;

e1282..  - x124 + x125 - x174 =L= 0;

e1283..  - x124 + x126 - x175 =L= 0;

e1284..  - x124 + x127 - x176 =L= 0;

e1285..  - x124 + x128 - x177 =L= 0;

e1286..  - x125 + x126 - x178 =L= 0;

e1287..  - x125 + x127 - x179 =L= 0;

e1288..  - x125 + x128 - x180 =L= 0;

e1289..  - x126 + x127 - x181 =L= 0;

e1290..  - x126 + x128 - x182 =L= 0;

e1291..  - x127 + x128 - x183 =L= 0;

e1292..  - x129 + x130 - x139 =L= 0;

e1293..  - x129 + x131 - x140 =L= 0;

e1294..  - x129 + x132 - x141 =L= 0;

e1295..  - x129 + x133 - x142 =L= 0;

e1296..  - x129 + x134 - x143 =L= 0;

e1297..  - x129 + x135 - x144 =L= 0;

e1298..  - x129 + x136 - x145 =L= 0;

e1299..  - x129 + x137 - x146 =L= 0;

e1300..  - x129 + x138 - x147 =L= 0;

e1301..  - x130 + x131 - x148 =L= 0;

e1302..  - x130 + x132 - x149 =L= 0;

e1303..  - x130 + x133 - x150 =L= 0;

e1304..  - x130 + x134 - x151 =L= 0;

e1305..  - x130 + x135 - x152 =L= 0;

e1306..  - x130 + x136 - x153 =L= 0;

e1307..  - x130 + x137 - x154 =L= 0;

e1308..  - x130 + x138 - x155 =L= 0;

e1309..  - x131 + x132 - x156 =L= 0;

e1310..  - x131 + x133 - x157 =L= 0;

e1311..  - x131 + x134 - x158 =L= 0;

e1312..  - x131 + x135 - x159 =L= 0;

e1313..  - x131 + x136 - x160 =L= 0;

e1314..  - x131 + x137 - x161 =L= 0;

e1315..  - x131 + x138 - x162 =L= 0;

e1316..  - x132 + x133 - x163 =L= 0;

e1317..  - x132 + x134 - x164 =L= 0;

e1318..  - x132 + x135 - x165 =L= 0;

e1319..  - x132 + x136 - x166 =L= 0;

e1320..  - x132 + x137 - x167 =L= 0;

e1321..  - x132 + x138 - x168 =L= 0;

e1322..  - x133 + x134 - x169 =L= 0;

e1323..  - x133 + x135 - x170 =L= 0;

e1324..  - x133 + x136 - x171 =L= 0;

e1325..  - x133 + x137 - x172 =L= 0;

e1326..  - x133 + x138 - x173 =L= 0;

e1327..  - x134 + x135 - x174 =L= 0;

e1328..  - x134 + x136 - x175 =L= 0;

e1329..  - x134 + x137 - x176 =L= 0;

e1330..  - x134 + x138 - x177 =L= 0;

e1331..  - x135 + x136 - x178 =L= 0;

e1332..  - x135 + x137 - x179 =L= 0;

e1333..  - x135 + x138 - x180 =L= 0;

e1334..  - x136 + x137 - x181 =L= 0;

e1335..  - x136 + x138 - x182 =L= 0;

e1336..  - x137 + x138 - x183 =L= 0;

e1337..  - x139 + x140 - x148 =L= 0;

e1338..  - x139 + x141 - x149 =L= 0;

e1339..  - x139 + x142 - x150 =L= 0;

e1340..  - x139 + x143 - x151 =L= 0;

e1341..  - x139 + x144 - x152 =L= 0;

e1342..  - x139 + x145 - x153 =L= 0;

e1343..  - x139 + x146 - x154 =L= 0;

e1344..  - x139 + x147 - x155 =L= 0;

e1345..  - x140 + x141 - x156 =L= 0;

e1346..  - x140 + x142 - x157 =L= 0;

e1347..  - x140 + x143 - x158 =L= 0;

e1348..  - x140 + x144 - x159 =L= 0;

e1349..  - x140 + x145 - x160 =L= 0;

e1350..  - x140 + x146 - x161 =L= 0;

e1351..  - x140 + x147 - x162 =L= 0;

e1352..  - x141 + x142 - x163 =L= 0;

e1353..  - x141 + x143 - x164 =L= 0;

e1354..  - x141 + x144 - x165 =L= 0;

e1355..  - x141 + x145 - x166 =L= 0;

e1356..  - x141 + x146 - x167 =L= 0;

e1357..  - x141 + x147 - x168 =L= 0;

e1358..  - x142 + x143 - x169 =L= 0;

e1359..  - x142 + x144 - x170 =L= 0;

e1360..  - x142 + x145 - x171 =L= 0;

e1361..  - x142 + x146 - x172 =L= 0;

e1362..  - x142 + x147 - x173 =L= 0;

e1363..  - x143 + x144 - x174 =L= 0;

e1364..  - x143 + x145 - x175 =L= 0;

e1365..  - x143 + x146 - x176 =L= 0;

e1366..  - x143 + x147 - x177 =L= 0;

e1367..  - x144 + x145 - x178 =L= 0;

e1368..  - x144 + x146 - x179 =L= 0;

e1369..  - x144 + x147 - x180 =L= 0;

e1370..  - x145 + x146 - x181 =L= 0;

e1371..  - x145 + x147 - x182 =L= 0;

e1372..  - x146 + x147 - x183 =L= 0;

e1373..  - x148 + x149 - x156 =L= 0;

e1374..  - x148 + x150 - x157 =L= 0;

e1375..  - x148 + x151 - x158 =L= 0;

e1376..  - x148 + x152 - x159 =L= 0;

e1377..  - x148 + x153 - x160 =L= 0;

e1378..  - x148 + x154 - x161 =L= 0;

e1379..  - x148 + x155 - x162 =L= 0;

e1380..  - x149 + x150 - x163 =L= 0;

e1381..  - x149 + x151 - x164 =L= 0;

e1382..  - x149 + x152 - x165 =L= 0;

e1383..  - x149 + x153 - x166 =L= 0;

e1384..  - x149 + x154 - x167 =L= 0;

e1385..  - x149 + x155 - x168 =L= 0;

e1386..  - x150 + x151 - x169 =L= 0;

e1387..  - x150 + x152 - x170 =L= 0;

e1388..  - x150 + x153 - x171 =L= 0;

e1389..  - x150 + x154 - x172 =L= 0;

e1390..  - x150 + x155 - x173 =L= 0;

e1391..  - x151 + x152 - x174 =L= 0;

e1392..  - x151 + x153 - x175 =L= 0;

e1393..  - x151 + x154 - x176 =L= 0;

e1394..  - x151 + x155 - x177 =L= 0;

e1395..  - x152 + x153 - x178 =L= 0;

e1396..  - x152 + x154 - x179 =L= 0;

e1397..  - x152 + x155 - x180 =L= 0;

e1398..  - x153 + x154 - x181 =L= 0;

e1399..  - x153 + x155 - x182 =L= 0;

e1400..  - x154 + x155 - x183 =L= 0;

e1401..  - x156 + x157 - x163 =L= 0;

e1402..  - x156 + x158 - x164 =L= 0;

e1403..  - x156 + x159 - x165 =L= 0;

e1404..  - x156 + x160 - x166 =L= 0;

e1405..  - x156 + x161 - x167 =L= 0;

e1406..  - x156 + x162 - x168 =L= 0;

e1407..  - x157 + x158 - x169 =L= 0;

e1408..  - x157 + x159 - x170 =L= 0;

e1409..  - x157 + x160 - x171 =L= 0;

e1410..  - x157 + x161 - x172 =L= 0;

e1411..  - x157 + x162 - x173 =L= 0;

e1412..  - x158 + x159 - x174 =L= 0;

e1413..  - x158 + x160 - x175 =L= 0;

e1414..  - x158 + x161 - x176 =L= 0;

e1415..  - x158 + x162 - x177 =L= 0;

e1416..  - x159 + x160 - x178 =L= 0;

e1417..  - x159 + x161 - x179 =L= 0;

e1418..  - x159 + x162 - x180 =L= 0;

e1419..  - x160 + x161 - x181 =L= 0;

e1420..  - x160 + x162 - x182 =L= 0;

e1421..  - x161 + x162 - x183 =L= 0;

e1422..  - x163 + x164 - x169 =L= 0;

e1423..  - x163 + x165 - x170 =L= 0;

e1424..  - x163 + x166 - x171 =L= 0;

e1425..  - x163 + x167 - x172 =L= 0;

e1426..  - x163 + x168 - x173 =L= 0;

e1427..  - x164 + x165 - x174 =L= 0;

e1428..  - x164 + x166 - x175 =L= 0;

e1429..  - x164 + x167 - x176 =L= 0;

e1430..  - x164 + x168 - x177 =L= 0;

e1431..  - x165 + x166 - x178 =L= 0;

e1432..  - x165 + x167 - x179 =L= 0;

e1433..  - x165 + x168 - x180 =L= 0;

e1434..  - x166 + x167 - x181 =L= 0;

e1435..  - x166 + x168 - x182 =L= 0;

e1436..  - x167 + x168 - x183 =L= 0;

e1437..  - x169 + x170 - x174 =L= 0;

e1438..  - x169 + x171 - x175 =L= 0;

e1439..  - x169 + x172 - x176 =L= 0;

e1440..  - x169 + x173 - x177 =L= 0;

e1441..  - x170 + x171 - x178 =L= 0;

e1442..  - x170 + x172 - x179 =L= 0;

e1443..  - x170 + x173 - x180 =L= 0;

e1444..  - x171 + x172 - x181 =L= 0;

e1445..  - x171 + x173 - x182 =L= 0;

e1446..  - x172 + x173 - x183 =L= 0;

e1447..  - x174 + x175 - x178 =L= 0;

e1448..  - x174 + x176 - x179 =L= 0;

e1449..  - x174 + x177 - x180 =L= 0;

e1450..  - x175 + x176 - x181 =L= 0;

e1451..  - x175 + x177 - x182 =L= 0;

e1452..  - x176 + x177 - x183 =L= 0;

e1453..  - x178 + x179 - x181 =L= 0;

e1454..  - x178 + x180 - x182 =L= 0;

e1455..  - x179 + x180 - x183 =L= 0;

e1456..  - x181 + x182 - x183 =L= 0;

e1457.. 2*b1 - 2*b1*x105 + 2*x105 - 2*b1*x107 + 2*x107 + 2*b2*x164 - 4*b2 - 2*
        x164 + 2*b2*x166 - 2*x166 + 2*b2*x169 - 3*x169 + 2*b2*x171 + x171 - 2*
        b3*x109 + 2*b3 + 2*x109 - 2*b3*x113 + 3*x113 - 2*b4*x97 + 4*b4 - 2*b4*
        x107 - 2*b4*x109 - 2*b4*x117 + 5*x117 + 2*b5*x134 - 3*b5 + 2*b5*x136 + 
        3*x136 + 2*b5*x169 + 2*b5*x171 + 2*b5*x175 + 3*x175 - 2*b5*x177 + 8*
        x177 - 2*b5*x182 + 10*x182 - 2*b6*x101 + 4*b6 + 2*x101 - 2*b6*x111 + 5*
        x111 - 2*b6*x113 - 2*b6*x115 + 2*x115 + 2*b7*x151 + b7 - 4*x151 + 2*b7*
        x153 - 3*x153 - 2*b7*x174 + 8*x174 - 2*b7*x175 - 2*b7*x176 + 4*x176 + 2
        *b7*x178 - 10*x178 - 2*b7*x181 + 3*x181 - 2*b8*x103 + 3*b8 + x103 - 2*
        b8*x107 - 2*b8*x113 + 2*b9*x158 - 3*b9 - 2*x158 + 2*b9*x160 - 2*x160 + 
        2*b9*x169 + 2*b9*x171 - 2*b9*x175 - 2*b14*x99 + 3*b14 + 2*x99 - 2*b14*
        x115 - 2*b14*x117 + 2*b15*x143 + 2*b15 - 3*x143 + 2*b15*x145 - 5*x145
         - 2*b15*x176 - 2*b15*x177 - 2*b15*x181 - 2*b15*x182 - 2*b16*x103 + 4*
        b16 - 2*b16*x111 - 2*b16*x113 - 2*b16*x117 + 2*b17*x109 - b17 + 2*b17*
        x113 + 2*b17*x158 + 2*b17*x160 - 2*b17*x174 - 2*b17*x175 - 2*b17*x177
         + 2*b17*x178 - 2*b17*x182 + 2*b18*x95 + 3*b18 - 4*x95 - 2*b18*x99 - 2*
        b18*x109 - 2*b18*x113 - 2*b18*x115 + 2*b19*x108 - 2*b19 - 5*x108 + 2*
        b19*x112 - 9*x112 + 2*b19*x143 + 2*b19*x145 - 2*b19*x176 - 2*b19*x181
         - 2*b20*x94 + 4*b20 + 4*x94 - 2*b20*x101 - 2*b20*x105 - 2*b20*x111 + 2
        *b21*x124 - 6*b21 - 6*x124 + 2*b21*x126 - 10*x126 + 2*b21*x151 + 2*b21*
        x153 + 2*b21*x164 + 2*b21*x166 - 2*b21*x174 + 2*b21*x178 - 2*b22*x107
         + 2*b22 - 2*b22*x117 + 2*b23*x169 + 2*b23*x171 - 2*b23*x177 - 2*b23*
        x182 - 2*b24*x94 + 2*b24 + 2*b24*x95 - 2*b24*x111 - 2*b24*x117 + 2*b25*
        x108 - 2*b25 + 2*b25*x112 + 2*b25*x124 + 2*b25*x126 - 2*b25*x174 - 2*
        b25*x177 + 2*b25*x178 - 2*b25*x182 + 2*b26*x132 + 3*b26 + 2*b26*x133 + 
        x133 - 2*b26*x163 + x163 - 2*b26*x164 - 2*b26*x168 + 4*x168 - 2*b26*
        x169 - 2*b26*x173 + 10*x173 + 2*b27*x149 + 4*b27 - x149 + 2*b27*x150 - 
        2*x150 - 2*b27*x165 + 3*x165 - 2*b27*x166 - 2*b27*x167 - 2*b27*x170 + 8
        *x170 - 2*b27*x171 - 2*b27*x172 + 4*x172 + 2*b28*x156 + b28 + 2*b28*
        x157 - 3*x157 - 2*b28*x163 - 2*b28*x166 - 2*b28*x171 + 2*b31*x141 + 2*
        b31 + 2*b31*x142 - 4*x142 - 2*b31*x167 - 2*b31*x168 - 2*b31*x172 - 2*
        b31*x173 + 2*b32*x105 + 2*b32 + 2*b32*x107 + 2*b32*x156 + 2*b32*x157 - 
        2*b32*x165 - 2*b32*x166 - 2*b32*x168 - 2*b32*x170 - 2*b32*x171 - 2*b32*
        x173 + 2*b33*x104 + 2*b33 - 2*x104 + 2*b33*x106 - 6*x106 + 2*b33*x141
         + 2*b33*x142 - 2*b33*x164 - 2*b33*x166 - 2*b33*x167 - 2*b33*x169 - 2*
        b33*x171 - 2*b33*x172 + 2*b34*x122 - 3*b34 - 3*x122 + 2*b34*x123 - 6*
        x123 + 2*b34*x149 + 2*b34*x150 + 2*b34*x163 - 2*b34*x165 - 2*b34*x170
         - 2*b35*x163 + 3*b35 - 2*b35*x168 - 2*b35*x173 + 2*b36*x104 + 2*b36*
        x106 + 2*b36*x122 + 2*b36*x123 - 2*b36*x165 - 2*b36*x168 - 2*b36*x170
         - 2*b36*x173 - 2*b37*x130 + 4*b37 + 2*x130 - 2*b37*x135 + 4*x135 - 2*
        b37*x136 - 2*b37*x137 + 3*x137 + 2*b37*x150 + 2*b37*x151 + 2*b37*x155
         + 2*x155 - 2*b37*x170 - 2*b37*x171 - 2*b37*x172 - 2*b37*x174 - 2*b37*
        x175 - 2*b37*x176 + 2*b37*x180 - 2*x180 + 2*b37*x182 + 2*b37*x183 + 4*
        x183 - 2*b38*x131 - b38 + 2*x131 - 2*b38*x133 - 2*b38*x136 + 2*b38*x157
         + 2*b38*x158 + 2*b38*x162 + 3*x162 + 2*b38*x169 - 2*b38*x171 + 2*b38*
        x173 - 2*b38*x175 + 2*b38*x182 - 2*b41*x129 + 3*b41 + 2*x129 - 2*b41*
        x137 - 2*b41*x138 + 4*x138 + 2*b41*x142 + 2*b41*x143 + 2*b41*x147 + 
        x147 - 2*b41*x172 - 2*b41*x173 - 2*b41*x176 - 2*b41*x177 + 2*b41*x183
         + 2*b42*x97 + b42 + 2*b42*x107 + 2*b42*x109 + 2*b42*x117 - 2*b42*x131
         - 2*b42*x135 - 2*b42*x136 - 2*b42*x138 + 2*b42*x157 + 2*b42*x158 + 2*
        b42*x162 - 2*b42*x170 - 2*b42*x171 - 2*b42*x173 - 2*b42*x174 - 2*b42*
        x175 - 2*b42*x177 + 2*b42*x180 + 2*b42*x182 + 2*b43*x96 - b43 - 2*x96
         + 2*b43*x106 + 2*b43*x108 + 2*b43*x116 - 5*x116 - 2*b43*x129 - 2*b43*
        x134 - 2*b43*x136 - 2*b43*x137 + 2*b43*x142 + 2*b43*x143 + 2*b43*x147
         - 2*b43*x169 - 2*b43*x171 - 2*b43*x172 - 2*b43*x175 - 2*b43*x176 + 2*
        b43*x177 + 2*b43*x182 + 2*b43*x183 + 2*b44*x118 - 6*b44 - 2*x118 + 2*
        b44*x123 + 2*b44*x124 + 2*b44*x128 - 5*x128 - 2*b44*x130 - 2*b44*x132
         - 2*b44*x135 + 2*b44*x150 + 2*b44*x151 + 2*b44*x155 + 2*b44*x163 + 2*
        b44*x164 + 2*b44*x168 - 2*b44*x170 - 2*b44*x174 + 2*b44*x180 - 2*b45*
        x133 + 2*b45 - 2*b45*x138 + 2*b45*x169 - 2*b45*x177 + 2*b46*x96 - 3*b46
         + 2*b46*x106 + 2*b46*x108 + 2*b46*x116 + 2*b46*x118 + 2*b46*x123 + 2*
        b46*x124 + 2*b46*x128 - 2*b46*x135 - 2*b46*x138 - 2*b46*x170 - 2*b46*
        x173 - 2*b46*x174 - 2*b46*x177 + 2*b46*x180 - 2*b47*x148 - 3*b47 - 2*
        b47*x150 - 2*b47*x153 + 2*b47*x159 + 3*x159 + 2*b47*x160 + 2*b47*x161
         + 2*b47*x170 + 2*b47*x171 + 2*b47*x172 - 2*b47*x178 + 2*b47*x181 + 2*
        b50*x139 + 3*b50 + 2*b50*x144 + 2*x144 + 2*b50*x145 + 2*b50*x146 - 2*
        x146 - 2*b50*x154 - x154 - 2*b50*x155 - 2*b50*x179 - 5*x179 - 2*b50*
        x180 - 2*b50*x181 - 2*b50*x182 - 2*b50*x183 + 2*b51*x101 - 2*b51 + 2*
        b51*x111 + 2*b51*x113 + 2*b51*x115 - 2*b51*x148 - 2*b51*x152 + 2*x152
         - 2*b51*x153 - 2*b51*x155 + 2*b51*x159 + 2*b51*x160 + 2*b51*x161 + 2*
        b51*x179 - 2*b51*x180 + 2*b51*x181 - 2*b51*x182 - 2*b51*x183 + 2*b52*
        x100 - 6*b52 - 2*x100 + 2*b52*x110 - 3*x110 + 2*b52*x112 + 2*b52*x114
         - 5*x114 + 2*b52*x139 + 2*b52*x144 + 2*b52*x145 + 2*b52*x146 - 2*b52*
        x151 - 2*b52*x153 - 2*b52*x154 + 2*b52*x174 + 2*b52*x175 + 2*b52*x176
         - 2*b52*x178 - 2*b52*x179 + 2*b53*x120 - 10*b53 - 3*x120 + 2*b53*x125
         - 4*x125 + 2*b53*x126 + 2*b53*x127 - 6*x127 - 2*b53*x149 + 2*b53*x153
         + 2*b53*x154 + 2*b53*x165 + 2*b53*x166 + 2*b53*x167 + 2*b53*x178 + 2*
        b53*x179 - 2*b54*x150 + 2*b54 - 2*b54*x155 + 2*b54*x170 + 2*b54*x171 + 
        2*b54*x172 - 2*b54*x180 - 2*b54*x182 - 2*b54*x183 + 2*b55*x100 - 5*b55
         + 2*b55*x110 + 2*b55*x112 + 2*b55*x114 + 2*b55*x120 + 2*b55*x125 + 2*
        b55*x126 + 2*b55*x127 - 2*b55*x152 - 2*b55*x155 + 2*b55*x178 + 2*b55*
        x179 - 2*b55*x180 - 2*b55*x182 - 2*b55*x183 + 2*b58*x140 + 3*b58 - 2*
        x140 + 2*b58*x142 + 2*b58*x145 - 2*b58*x161 - 2*b58*x162 - 2*b58*x172
         - 2*b58*x173 - 2*b58*x181 - 2*b58*x182 + 2*b59*x103 + b59 + 2*b59*x107
         + 2*b59*x113 + 2*b59*x157 - 2*b59*x159 - 2*b59*x162 - 2*b59*x170 - 2*
        b59*x171 - 2*b59*x173 + 2*b59*x178 - 2*b59*x182 + 2*b60*x102 - 4*x102
         + 2*b60*x106 + 2*b60*x112 + 2*b60*x140 + 2*b60*x142 + 2*b60*x145 - 2*
        b60*x158 - 2*b60*x160 - 2*b60*x161 - 2*b60*x169 - 2*b60*x171 - 2*b60*
        x172 + 2*b60*x175 - 2*b60*x181 + 2*b61*x121 - 6*b61 - 4*x121 + 2*b61*
        x123 + 2*b61*x126 + 2*b61*x148 + 2*b61*x150 + 2*b61*x153 - 2*b61*x156
         - 2*b61*x159 + 2*b61*x163 + 2*b61*x166 - 2*b61*x170 + 2*b61*x178 - 2*
        b62*x157 + 3*b62 - 2*b62*x162 + 2*b62*x171 - 2*b62*x173 - 2*b62*x182 + 
        2*b63*x102 - 2*b63 + 2*b63*x106 + 2*b63*x112 + 2*b63*x121 + 2*b63*x123
         + 2*b63*x126 - 2*b63*x159 - 2*b63*x162 - 2*b63*x170 - 2*b63*x173 + 2*
        b63*x178 - 2*b63*x182 + 2*b77*x99 - 4*b77 + 2*b77*x115 + 2*b77*x117 - 2
        *b77*x140 - 2*b77*x144 - 2*b77*x145 - 2*b77*x147 + 2*b77*x161 + 2*b77*
        x162 + 2*b77*x179 + 2*b77*x180 + 2*b77*x181 + 2*b77*x182 - 2*b77*x183
         + 2*b78*x98 - 7*b78 - 3*x98 + 2*b78*x114 + 2*b78*x116 - 2*b78*x143 - 2
        *b78*x145 + 2*b78*x147 + 2*b78*x176 + 2*b78*x177 + 2*b78*x181 + 2*b78*
        x182 + 2*b78*x183 + 2*b79*x119 - 6*b79 - 4*x119 + 2*b79*x127 + 2*b79*
        x128 - 2*b79*x139 - 2*b79*x141 - 2*b79*x144 + 2*b79*x154 + 2*b79*x155
         + 2*b79*x167 + 2*b79*x168 + 2*b79*x179 + 2*b79*x180 - 2*b80*x142 + b80
         - 2*b80*x147 + 2*b80*x172 + 2*b80*x173 - 2*b80*x183 + 2*x82*x98 - 5*
        x82 + 2*x82*x114 + 2*x82*x116 + 2*x82*x119 + 2*x82*x127 + 2*x82*x128 - 
        2*x82*x144 - 2*x82*x147 + 2*x82*x179 + 2*x82*x180 - 2*x82*x183 + 2*x83*
        x95 - 4*x83 - 2*x83*x99 + 2*x83*x102 - 2*x83*x109 + 2*x83*x110 + 2*x83*
        x112 - 2*x83*x113 - 2*x83*x115 + 2*x83*x116 + 2*x83*x140 + 2*x83*x144
         + 2*x83*x145 + 2*x83*x147 - 2*x83*x158 - 2*x83*x160 - 2*x83*x161 + 2*
        x83*x174 + 2*x83*x175 + 2*x83*x177 - 2*x83*x178 - 2*x83*x179 - 2*x83*
        x181 + 2*x83*x182 + 2*x83*x183 - 2*x84*x94 - 7*x84 - 2*x84*x101 - 2*x84
        *x105 - 2*x84*x111 + 2*x84*x121 + 2*x84*x125 + 2*x84*x126 + 2*x84*x128
         + 2*x84*x148 + 2*x84*x152 + 2*x84*x153 + 2*x84*x155 - 2*x84*x156 - 2*
        x84*x159 + 2*x84*x165 + 2*x84*x166 + 2*x84*x168 + 2*x84*x178 + 2*x84*
        x180 - 2*x85*x107 + 3*x85 - 2*x85*x117 - 2*x85*x157 - 2*x85*x162 + 2*
        x85*x170 + 2*x85*x171 + 2*x85*x173 - 2*x85*x180 - 2*x85*x182 - 2*x86*
        x94 - 4*x86 + 2*x86*x95 + 2*x86*x102 + 2*x86*x110 - 2*x86*x111 + 2*x86*
        x112 + 2*x86*x116 - 2*x86*x117 + 2*x86*x121 + 2*x86*x125 + 2*x86*x126
         + 2*x86*x128 - 2*x86*x159 - 2*x86*x162 + 2*x86*x178 - 2*x86*x182 - 2*
        x87*x93 - 4*x87 + x93 - 2*x87*x100 - 2*x87*x104 - 2*x87*x110 + 2*x87*
        x119 + 2*x87*x124 + 2*x87*x126 + 2*x87*x127 - 2*x87*x139 - 2*x87*x141
         - 2*x87*x144 + 2*x87*x151 + 2*x87*x153 + 2*x87*x154 + 2*x87*x164 + 2*
        x87*x166 + 2*x87*x167 - 2*x87*x174 + 2*x87*x178 + 2*x87*x179 - 2*x88*
        x106 + 4*x88 - 2*x88*x116 - 2*x88*x142 - 2*x88*x147 + 2*x88*x169 + 2*
        x88*x171 + 2*x88*x172 - 2*x88*x177 - 2*x88*x182 - 2*x88*x183 - 2*x89*
        x93 - x89 + 2*x89*x98 + 2*x89*x108 - 2*x89*x110 + 2*x89*x112 + 2*x89*
        x114 - 2*x89*x116 + 2*x89*x119 + 2*x89*x124 + 2*x89*x126 + 2*x89*x127
         - 2*x89*x144 - 2*x89*x147 - 2*x89*x174 - 2*x89*x177 + 2*x89*x178 + 2*
        x89*x179 - 2*x89*x182 - 2*x89*x183 - 2*x90*x123 + 6*x90 - 2*x90*x128 - 
        2*x90*x150 - 2*x90*x155 - 2*x90*x163 - 2*x90*x168 + 2*x90*x170 - 2*x90*
        x180 + 2*x91*x93 + 2*x91*x100 + 2*x91*x104 + 2*x91*x110 + 2*x91*x120 + 
        2*x91*x122 - 2*x91*x128 - 2*x91*x152 - 2*x91*x155 - 2*x91*x165 - 2*x91*
        x168 - 2*x91*x180 + 2*x92*x106 - 3*x92 + 2*x92*x116 + 2*x92*x123 + 2*
        x92*x128 - 2*x92*x170 - 2*x92*x173 + 2*x92*x180 + objvar =G= 309;

* set non-default bounds
x82.up = 1;
x83.up = 1;
x84.up = 1;
x85.up = 1;
x86.up = 1;
x87.up = 1;
x88.up = 1;
x89.up = 1;
x90.up = 1;
x91.up = 1;
x92.up = 1;
x93.up = 1;
x94.up = 1;
x95.up = 1;
x96.up = 1;
x97.up = 1;
x98.up = 1;
x99.up = 1;
x100.up = 1;
x101.up = 1;
x102.up = 1;
x103.up = 1;
x104.up = 1;
x105.up = 1;
x106.up = 1;
x107.up = 1;
x108.up = 1;
x109.up = 1;
x110.up = 1;
x111.up = 1;
x112.up = 1;
x113.up = 1;
x114.up = 1;
x115.up = 1;
x116.up = 1;
x117.up = 1;
x118.up = 1;
x119.up = 1;
x120.up = 1;
x121.up = 1;
x122.up = 1;
x123.up = 1;
x124.up = 1;
x125.up = 1;
x126.up = 1;
x127.up = 1;
x128.up = 1;
x129.up = 1;
x130.up = 1;
x131.up = 1;
x132.up = 1;
x133.up = 1;
x134.up = 1;
x135.up = 1;
x136.up = 1;
x137.up = 1;
x138.up = 1;
x139.up = 1;
x140.up = 1;
x141.up = 1;
x142.up = 1;
x143.up = 1;
x144.up = 1;
x145.up = 1;
x146.up = 1;
x147.up = 1;
x148.up = 1;
x149.up = 1;
x150.up = 1;
x151.up = 1;
x152.up = 1;
x153.up = 1;
x154.up = 1;
x155.up = 1;
x156.up = 1;
x157.up = 1;
x158.up = 1;
x159.up = 1;
x160.up = 1;
x161.up = 1;
x162.up = 1;
x163.up = 1;
x164.up = 1;
x165.up = 1;
x166.up = 1;
x167.up = 1;
x168.up = 1;
x169.up = 1;
x170.up = 1;
x171.up = 1;
x172.up = 1;
x173.up = 1;
x174.up = 1;
x175.up = 1;
x176.up = 1;
x177.up = 1;
x178.up = 1;
x179.up = 1;
x180.up = 1;
x181.up = 1;
x182.up = 1;
x183.up = 1;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2018-09-14 Git hash: ac5a5314
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