MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance sfacloc1_4_80

Probabilistic Facility Location and Assignment with Random Demand (given by 5000 scenarios), where 4 facilities can be opened anywhere in the Euclidean plane (distances are measured with the Manhattan (or L1) metric), the facilities are capacitated and each customer may be served by more than one facility.
The objective is to minimize an upper-bound on the weighted total-distance (i.e., the sum of the product of the demand of each customer times the distance to the facility serving that customer) such that this bound is satisfied with a reliability level of 0.80.
Formats ams gms mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
8.23183075 p1 ( gdx sol )
(infeas: 1e-14)
7.91524223 p2 ( gdx sol )
(infeas: 2e-14)
7.87910096 p3 ( gdx sol )
(infeas: 6e-14)
Other points (infeas > 1e-08)  
Dual Bounds
0.23490421 (ANTIGONE)
0.00000000 (BARON)
0.00000000 (COUENNE)
0.03974110 (LINDO)
0.04893236 (SCIP)
0.00000000 (SHOT)
References Lejeune, M A and Margot, François, Solving Chance-Constrained Optimization Problems with Stochastic Quadratic Inequalities, Operations Research, 64:4, 2016, 939-957.
Source instance CCFACLOC/1B2C/M2_2/M2_2_1B2C_15_4_80_5000.nl from François Margot stochastic instances collection
Application Facility Location
Added to library 12 Aug 2014
Problem type MBNLP
#Variables 355
#Binary Variables 62
#Integer Variables 0
#Nonlinear Variables 135
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 15
#Nonlinear Nonzeros in Objective 0
#Constraints 2234
#Linear Constraints 2219
#Quadratic Constraints 0
#Polynomial Constraints 15
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 8009
#Nonlinear Nonzeros in Jacobian 135
#Nonzeros in (Upper-Left) Hessian of Lagrangian 360
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 15
Minimal blocksize in Hessian of Lagrangian 9
Maximal blocksize in Hessian of Lagrangian 9
Average blocksize in Hessian of Lagrangian 9.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 1.0000e-01
Maximal coefficient 9.9280e+01
Infeasibility of initial point 58.67
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
*       2235      106     2110       19        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        356      294       62        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       8025     7890      135        0
*
*  Solve m using MINLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,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,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,b294,b295,b296,b297,b298
          ,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310,b311
          ,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323,b324
          ,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336,b337
          ,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349,b350
          ,b351,b352,b353,b354,b355,objvar;

Positive Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,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,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,x184,x185,x186,x187
          ,x188,x189,x190,x191,x192,x193,x194,x195,x196,x197,x198,x199,x200
          ,x201,x202,x203,x204,x205,x206,x207,x208,x209,x210,x211,x212,x213
          ,x214,x215,x216,x217,x218,x219,x220,x221,x222,x223,x224,x225,x226
          ,x227,x228,x229,x230,x231,x232,x233,x234,x235,x236,x237,x238,x239
          ,x240,x241,x242,x243,x244,x245,x246,x247,x248,x249,x250,x251,x252
          ,x253,x254,x255,x256,x257,x258,x259,x260,x261,x262,x263,x264,x265
          ,x266,x267,x268,x269,x270,x271,x272,x273,x274,x275,x276,x277,x278
          ,x279,x280,x281,x282,x283,x284,x285,x286,x287,x288,x289,x290,x291
          ,x292,x293;

Binary Variables  b294,b295,b296,b297,b298,b299,b300,b301,b302,b303,b304,b305
          ,b306,b307,b308,b309,b310,b311,b312,b313,b314,b315,b316,b317,b318
          ,b319,b320,b321,b322,b323,b324,b325,b326,b327,b328,b329,b330,b331
          ,b332,b333,b334,b335,b336,b337,b338,b339,b340,b341,b342,b343,b344
          ,b345,b346,b347,b348,b349,b350,b351,b352,b353,b354,b355;

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,e1458,e1459,e1460,e1461,e1462
          ,e1463,e1464,e1465,e1466,e1467,e1468,e1469,e1470,e1471,e1472,e1473
          ,e1474,e1475,e1476,e1477,e1478,e1479,e1480,e1481,e1482,e1483,e1484
          ,e1485,e1486,e1487,e1488,e1489,e1490,e1491,e1492,e1493,e1494,e1495
          ,e1496,e1497,e1498,e1499,e1500,e1501,e1502,e1503,e1504,e1505,e1506
          ,e1507,e1508,e1509,e1510,e1511,e1512,e1513,e1514,e1515,e1516,e1517
          ,e1518,e1519,e1520,e1521,e1522,e1523,e1524,e1525,e1526,e1527,e1528
          ,e1529,e1530,e1531,e1532,e1533,e1534,e1535,e1536,e1537,e1538,e1539
          ,e1540,e1541,e1542,e1543,e1544,e1545,e1546,e1547,e1548,e1549,e1550
          ,e1551,e1552,e1553,e1554,e1555,e1556,e1557,e1558,e1559,e1560,e1561
          ,e1562,e1563,e1564,e1565,e1566,e1567,e1568,e1569,e1570,e1571,e1572
          ,e1573,e1574,e1575,e1576,e1577,e1578,e1579,e1580,e1581,e1582,e1583
          ,e1584,e1585,e1586,e1587,e1588,e1589,e1590,e1591,e1592,e1593,e1594
          ,e1595,e1596,e1597,e1598,e1599,e1600,e1601,e1602,e1603,e1604,e1605
          ,e1606,e1607,e1608,e1609,e1610,e1611,e1612,e1613,e1614,e1615,e1616
          ,e1617,e1618,e1619,e1620,e1621,e1622,e1623,e1624,e1625,e1626,e1627
          ,e1628,e1629,e1630,e1631,e1632,e1633,e1634,e1635,e1636,e1637,e1638
          ,e1639,e1640,e1641,e1642,e1643,e1644,e1645,e1646,e1647,e1648,e1649
          ,e1650,e1651,e1652,e1653,e1654,e1655,e1656,e1657,e1658,e1659,e1660
          ,e1661,e1662,e1663,e1664,e1665,e1666,e1667,e1668,e1669,e1670,e1671
          ,e1672,e1673,e1674,e1675,e1676,e1677,e1678,e1679,e1680,e1681,e1682
          ,e1683,e1684,e1685,e1686,e1687,e1688,e1689,e1690,e1691,e1692,e1693
          ,e1694,e1695,e1696,e1697,e1698,e1699,e1700,e1701,e1702,e1703,e1704
          ,e1705,e1706,e1707,e1708,e1709,e1710,e1711,e1712,e1713,e1714,e1715
          ,e1716,e1717,e1718,e1719,e1720,e1721,e1722,e1723,e1724,e1725,e1726
          ,e1727,e1728,e1729,e1730,e1731,e1732,e1733,e1734,e1735,e1736,e1737
          ,e1738,e1739,e1740,e1741,e1742,e1743,e1744,e1745,e1746,e1747,e1748
          ,e1749,e1750,e1751,e1752,e1753,e1754,e1755,e1756,e1757,e1758,e1759
          ,e1760,e1761,e1762,e1763,e1764,e1765,e1766,e1767,e1768,e1769,e1770
          ,e1771,e1772,e1773,e1774,e1775,e1776,e1777,e1778,e1779,e1780,e1781
          ,e1782,e1783,e1784,e1785,e1786,e1787,e1788,e1789,e1790,e1791,e1792
          ,e1793,e1794,e1795,e1796,e1797,e1798,e1799,e1800,e1801,e1802,e1803
          ,e1804,e1805,e1806,e1807,e1808,e1809,e1810,e1811,e1812,e1813,e1814
          ,e1815,e1816,e1817,e1818,e1819,e1820,e1821,e1822,e1823,e1824,e1825
          ,e1826,e1827,e1828,e1829,e1830,e1831,e1832,e1833,e1834,e1835,e1836
          ,e1837,e1838,e1839,e1840,e1841,e1842,e1843,e1844,e1845,e1846,e1847
          ,e1848,e1849,e1850,e1851,e1852,e1853,e1854,e1855,e1856,e1857,e1858
          ,e1859,e1860,e1861,e1862,e1863,e1864,e1865,e1866,e1867,e1868,e1869
          ,e1870,e1871,e1872,e1873,e1874,e1875,e1876,e1877,e1878,e1879,e1880
          ,e1881,e1882,e1883,e1884,e1885,e1886,e1887,e1888,e1889,e1890,e1891
          ,e1892,e1893,e1894,e1895,e1896,e1897,e1898,e1899,e1900,e1901,e1902
          ,e1903,e1904,e1905,e1906,e1907,e1908,e1909,e1910,e1911,e1912,e1913
          ,e1914,e1915,e1916,e1917,e1918,e1919,e1920,e1921,e1922,e1923,e1924
          ,e1925,e1926,e1927,e1928,e1929,e1930,e1931,e1932,e1933,e1934,e1935
          ,e1936,e1937,e1938,e1939,e1940,e1941,e1942,e1943,e1944,e1945,e1946
          ,e1947,e1948,e1949,e1950,e1951,e1952,e1953,e1954,e1955,e1956,e1957
          ,e1958,e1959,e1960,e1961,e1962,e1963,e1964,e1965,e1966,e1967,e1968
          ,e1969,e1970,e1971,e1972,e1973,e1974,e1975,e1976,e1977,e1978,e1979
          ,e1980,e1981,e1982,e1983,e1984,e1985,e1986,e1987,e1988,e1989,e1990
          ,e1991,e1992,e1993,e1994,e1995,e1996,e1997,e1998,e1999,e2000,e2001
          ,e2002,e2003,e2004,e2005,e2006,e2007,e2008,e2009,e2010,e2011,e2012
          ,e2013,e2014,e2015,e2016,e2017,e2018,e2019,e2020,e2021,e2022,e2023
          ,e2024,e2025,e2026,e2027,e2028,e2029,e2030,e2031,e2032,e2033,e2034
          ,e2035,e2036,e2037,e2038,e2039,e2040,e2041,e2042,e2043,e2044,e2045
          ,e2046,e2047,e2048,e2049,e2050,e2051,e2052,e2053,e2054,e2055,e2056
          ,e2057,e2058,e2059,e2060,e2061,e2062,e2063,e2064,e2065,e2066,e2067
          ,e2068,e2069,e2070,e2071,e2072,e2073,e2074,e2075,e2076,e2077,e2078
          ,e2079,e2080,e2081,e2082,e2083,e2084,e2085,e2086,e2087,e2088,e2089
          ,e2090,e2091,e2092,e2093,e2094,e2095,e2096,e2097,e2098,e2099,e2100
          ,e2101,e2102,e2103,e2104,e2105,e2106,e2107,e2108,e2109,e2110,e2111
          ,e2112,e2113,e2114,e2115,e2116,e2117,e2118,e2119,e2120,e2121,e2122
          ,e2123,e2124,e2125,e2126,e2127,e2128,e2129,e2130,e2131,e2132,e2133
          ,e2134,e2135,e2136,e2137,e2138,e2139,e2140,e2141,e2142,e2143,e2144
          ,e2145,e2146,e2147,e2148,e2149,e2150,e2151,e2152,e2153,e2154,e2155
          ,e2156,e2157,e2158,e2159,e2160,e2161,e2162,e2163,e2164,e2165,e2166
          ,e2167,e2168,e2169,e2170,e2171,e2172,e2173,e2174,e2175,e2176,e2177
          ,e2178,e2179,e2180,e2181,e2182,e2183,e2184,e2185,e2186,e2187,e2188
          ,e2189,e2190,e2191,e2192,e2193,e2194,e2195,e2196,e2197,e2198,e2199
          ,e2200,e2201,e2202,e2203,e2204,e2205,e2206,e2207,e2208,e2209,e2210
          ,e2211,e2212,e2213,e2214,e2215,e2216,e2217,e2218,e2219,e2220,e2221
          ,e2222,e2223,e2224,e2225,e2226,e2227,e2228,e2229,e2230,e2231,e2232
          ,e2233,e2234,e2235;


e1..    x136 + x137 + x138 + x139 + x140 + x141 + x142 + x143 + x144 + x145
      + x146 + x147 + x148 + x149 + x150 - objvar =E= 0;

e2.. -(x121*x61*x1 + x121*x62*x2 + x121*x63*x3 + x121*x64*x4) + x279 =E= 0;

e3.. -(x122*x65*x5 + x122*x66*x6 + x122*x67*x7 + x122*x68*x8) + x280 =E= 0;

e4.. -(x123*x69*x9 + x123*x70*x10 + x123*x71*x11 + x123*x72*x12) + x281 =E= 0;

e5.. -(x124*x73*x13 + x124*x74*x14 + x124*x75*x15 + x124*x76*x16) + x282 =E= 0;

e6.. -(x125*x77*x17 + x125*x78*x18 + x125*x79*x19 + x125*x80*x20) + x283 =E= 0;

e7.. -(x126*x81*x21 + x126*x82*x22 + x126*x83*x23 + x126*x84*x24) + x284 =E= 0;

e8.. -(x127*x85*x25 + x127*x86*x26 + x127*x87*x27 + x127*x88*x28) + x285 =E= 0;

e9.. -(x128*x89*x29 + x128*x90*x30 + x128*x91*x31 + x128*x92*x32) + x286 =E= 0;

e10.. -(x129*x93*x33 + x129*x94*x34 + x129*x95*x35 + x129*x96*x36) + x287 =E= 0
      ;

e11.. -(x130*x97*x37 + x130*x98*x38 + x130*x99*x39 + x130*x100*x40) + x288
       =E= 0;

e12.. -(x131*x101*x41 + x131*x102*x42 + x131*x103*x43 + x131*x104*x44) + x289
       =E= 0;

e13.. -(x132*x105*x45 + x132*x106*x46 + x132*x107*x47 + x132*x108*x48) + x290
       =E= 0;

e14.. -(x133*x109*x49 + x133*x110*x50 + x133*x111*x51 + x133*x112*x52) + x291
       =E= 0;

e15.. -(x134*x113*x53 + x134*x114*x54 + x134*x115*x55 + x134*x116*x56) + x292
       =E= 0;

e16.. -(x135*x117*x57 + x135*x118*x58 + x135*x119*x59 + x135*x120*x60) + x293
       =E= 0;

e17..    x1 + x2 + x3 + x4 =E= 1;

e18..    x5 + x6 + x7 + x8 =E= 1;

e19..    x9 + x10 + x11 + x12 =E= 1;

e20..    x13 + x14 + x15 + x16 =E= 1;

e21..    x17 + x18 + x19 + x20 =E= 1;

e22..    x21 + x22 + x23 + x24 =E= 1;

e23..    x25 + x26 + x27 + x28 =E= 1;

e24..    x29 + x30 + x31 + x32 =E= 1;

e25..    x33 + x34 + x35 + x36 =E= 1;

e26..    x37 + x38 + x39 + x40 =E= 1;

e27..    x41 + x42 + x43 + x44 =E= 1;

e28..    x45 + x46 + x47 + x48 =E= 1;

e29..    x49 + x50 + x51 + x52 =E= 1;

e30..    x53 + x54 + x55 + x56 =E= 1;

e31..    x57 + x58 + x59 + x60 =E= 1;

e32..    2.02*x1 + 4.01333333333333*x5 + 4.76*x9 + 5.96*x13
       + 42.0933333333333*x17 + 99.28*x21 + 6.59333333333333*x25
       + 61.8666666666667*x29 + 56.2866666666667*x33 + 41.5*x37
       + 62.4933333333333*x41 + 80.9066666666667*x45 + 26.1466666666667*x49
       + 38*x53 + 62.24*x57 =L= 153.54;

e33..    2.02*x2 + 4.01333333333333*x6 + 4.76*x10 + 5.96*x14
       + 42.0933333333333*x18 + 99.28*x22 + 6.59333333333333*x26
       + 61.8666666666667*x30 + 56.2866666666667*x34 + 41.5*x38
       + 62.4933333333333*x42 + 80.9066666666667*x46 + 26.1466666666667*x50
       + 38*x54 + 62.24*x58 =L= 153.54;

e34..    2.02*x3 + 4.01333333333333*x7 + 4.76*x11 + 5.96*x15
       + 42.0933333333333*x19 + 99.28*x23 + 6.59333333333333*x27
       + 61.8666666666667*x31 + 56.2866666666667*x35 + 41.5*x39
       + 62.4933333333333*x43 + 80.9066666666667*x47 + 26.1466666666667*x51
       + 38*x55 + 62.24*x59 =L= 153.54;

e35..    2.02*x4 + 4.01333333333333*x8 + 4.76*x12 + 5.96*x16
       + 42.0933333333333*x20 + 99.28*x24 + 6.59333333333333*x28
       + 61.8666666666667*x32 + 56.2866666666667*x36 + 41.5*x40
       + 62.4933333333333*x44 + 80.9066666666667*x48 + 26.1466666666667*x52
       + 38*x56 + 62.24*x60 =L= 153.54;

e36..    x151 + x159 =G= 0.29424122;

e37..    x152 + x160 =G= 0.29424122;

e38..    x153 + x161 =G= 0.29424122;

e39..    x154 + x162 =G= 0.29424122;

e40..    x151 + x163 =G= 0.29760193;

e41..    x152 + x164 =G= 0.29760193;

e42..    x153 + x165 =G= 0.29760193;

e43..    x154 + x166 =G= 0.29760193;

e44..    x151 + x167 =G= 0.35149534;

e45..    x152 + x168 =G= 0.35149534;

e46..    x153 + x169 =G= 0.35149534;

e47..    x154 + x170 =G= 0.35149534;

e48..    x151 + x171 =G= 0.30458283;

e49..    x152 + x172 =G= 0.30458283;

e50..    x153 + x173 =G= 0.30458283;

e51..    x154 + x174 =G= 0.30458283;

e52..    x151 + x175 =G= 0.29951066;

e53..    x152 + x176 =G= 0.29951066;

e54..    x153 + x177 =G= 0.29951066;

e55..    x154 + x178 =G= 0.29951066;

e56..    x151 + x179 =G= 0.30694357;

e57..    x152 + x180 =G= 0.30694357;

e58..    x153 + x181 =G= 0.30694357;

e59..    x154 + x182 =G= 0.30694357;

e60..    x151 + x183 =G= 0.33520661;

e61..    x152 + x184 =G= 0.33520661;

e62..    x153 + x185 =G= 0.33520661;

e63..    x154 + x186 =G= 0.33520661;

e64..    x151 + x187 =G= 0.3400071;

e65..    x152 + x188 =G= 0.3400071;

e66..    x153 + x189 =G= 0.3400071;

e67..    x154 + x190 =G= 0.3400071;

e68..    x151 + x191 =G= 0.35227087;

e69..    x152 + x192 =G= 0.35227087;

e70..    x153 + x193 =G= 0.35227087;

e71..    x154 + x194 =G= 0.35227087;

e72..    x151 + x195 =G= 0.34225726;

e73..    x152 + x196 =G= 0.34225726;

e74..    x153 + x197 =G= 0.34225726;

e75..    x154 + x198 =G= 0.34225726;

e76..    x151 + x199 =G= 0.32776566;

e77..    x152 + x200 =G= 0.32776566;

e78..    x153 + x201 =G= 0.32776566;

e79..    x154 + x202 =G= 0.32776566;

e80..    x151 + x203 =G= 0.30438256;

e81..    x152 + x204 =G= 0.30438256;

e82..    x153 + x205 =G= 0.30438256;

e83..    x154 + x206 =G= 0.30438256;

e84..    x151 + x207 =G= 0.28538336;

e85..    x152 + x208 =G= 0.28538336;

e86..    x153 + x209 =G= 0.28538336;

e87..    x154 + x210 =G= 0.28538336;

e88..    x151 + x211 =G= 0.27950575;

e89..    x152 + x212 =G= 0.27950575;

e90..    x153 + x213 =G= 0.27950575;

e91..    x154 + x214 =G= 0.27950575;

e92..  - x151 + x159 =G= -0.29424122;

e93..  - x152 + x160 =G= -0.29424122;

e94..  - x153 + x161 =G= -0.29424122;

e95..  - x154 + x162 =G= -0.29424122;

e96..  - x151 + x163 =G= -0.29760193;

e97..  - x152 + x164 =G= -0.29760193;

e98..  - x153 + x165 =G= -0.29760193;

e99..  - x154 + x166 =G= -0.29760193;

e100..  - x151 + x167 =G= -0.35149534;

e101..  - x152 + x168 =G= -0.35149534;

e102..  - x153 + x169 =G= -0.35149534;

e103..  - x154 + x170 =G= -0.35149534;

e104..  - x151 + x171 =G= -0.30458283;

e105..  - x152 + x172 =G= -0.30458283;

e106..  - x153 + x173 =G= -0.30458283;

e107..  - x154 + x174 =G= -0.30458283;

e108..  - x151 + x175 =G= -0.29951066;

e109..  - x152 + x176 =G= -0.29951066;

e110..  - x153 + x177 =G= -0.29951066;

e111..  - x154 + x178 =G= -0.29951066;

e112..  - x151 + x179 =G= -0.30694357;

e113..  - x152 + x180 =G= -0.30694357;

e114..  - x153 + x181 =G= -0.30694357;

e115..  - x154 + x182 =G= -0.30694357;

e116..  - x151 + x183 =G= -0.33520661;

e117..  - x152 + x184 =G= -0.33520661;

e118..  - x153 + x185 =G= -0.33520661;

e119..  - x154 + x186 =G= -0.33520661;

e120..  - x151 + x187 =G= -0.3400071;

e121..  - x152 + x188 =G= -0.3400071;

e122..  - x153 + x189 =G= -0.3400071;

e123..  - x154 + x190 =G= -0.3400071;

e124..  - x151 + x195 =G= -0.34225726;

e125..  - x152 + x196 =G= -0.34225726;

e126..  - x153 + x197 =G= -0.34225726;

e127..  - x154 + x198 =G= -0.34225726;

e128..  - x151 + x199 =G= -0.32776566;

e129..  - x152 + x200 =G= -0.32776566;

e130..  - x153 + x201 =G= -0.32776566;

e131..  - x154 + x202 =G= -0.32776566;

e132..  - x151 + x203 =G= -0.30438256;

e133..  - x152 + x204 =G= -0.30438256;

e134..  - x153 + x205 =G= -0.30438256;

e135..  - x154 + x206 =G= -0.30438256;

e136..  - x151 + x207 =G= -0.28538336;

e137..  - x152 + x208 =G= -0.28538336;

e138..  - x153 + x209 =G= -0.28538336;

e139..  - x154 + x210 =G= -0.28538336;

e140..  - x151 + x211 =G= -0.27950575;

e141..  - x152 + x212 =G= -0.27950575;

e142..  - x153 + x213 =G= -0.27950575;

e143..  - x154 + x214 =G= -0.27950575;

e144..  - x151 + x215 =G= -0.25788969;

e145..  - x152 + x216 =G= -0.25788969;

e146..  - x153 + x217 =G= -0.25788969;

e147..  - x154 + x218 =G= -0.25788969;

e148..    x155 + x223 =G= -0.9536939;

e149..    x156 + x224 =G= -0.9536939;

e150..    x157 + x225 =G= -0.9536939;

e151..    x158 + x226 =G= -0.9536939;

e152..    x155 + x227 =G= -0.9004898;

e153..    x156 + x228 =G= -0.9004898;

e154..    x157 + x229 =G= -0.9004898;

e155..    x158 + x230 =G= -0.9004898;

e156..    x155 + x231 =G= -0.9114032;

e157..    x156 + x232 =G= -0.9114032;

e158..    x157 + x233 =G= -0.9114032;

e159..    x158 + x234 =G= -0.9114032;

e160..    x155 + x235 =G= -0.90071532;

e161..    x156 + x236 =G= -0.90071532;

e162..    x157 + x237 =G= -0.90071532;

e163..    x158 + x238 =G= -0.90071532;

e164..    x155 + x239 =G= -0.88043054;

e165..    x156 + x240 =G= -0.88043054;

e166..    x157 + x241 =G= -0.88043054;

e167..    x158 + x242 =G= -0.88043054;

e168..    x155 + x243 =G= -0.8680249;

e169..    x156 + x244 =G= -0.8680249;

e170..    x157 + x245 =G= -0.8680249;

e171..    x158 + x246 =G= -0.8680249;

e172..    x155 + x247 =G= -0.81034814;

e173..    x156 + x248 =G= -0.81034814;

e174..    x157 + x249 =G= -0.81034814;

e175..    x158 + x250 =G= -0.81034814;

e176..    x155 + x251 =G= -0.80843127;

e177..    x156 + x252 =G= -0.80843127;

e178..    x157 + x253 =G= -0.80843127;

e179..    x158 + x254 =G= -0.80843127;

e180..    x155 + x255 =G= -0.7794471;

e181..    x156 + x256 =G= -0.7794471;

e182..    x157 + x257 =G= -0.7794471;

e183..    x158 + x258 =G= -0.7794471;

e184..    x155 + x259 =G= -0.79930922;

e185..    x156 + x260 =G= -0.79930922;

e186..    x157 + x261 =G= -0.79930922;

e187..    x158 + x262 =G= -0.79930922;

e188..    x155 + x263 =G= -0.84280733;

e189..    x156 + x264 =G= -0.84280733;

e190..    x157 + x265 =G= -0.84280733;

e191..    x158 + x266 =G= -0.84280733;

e192..    x155 + x267 =G= -0.81379236;

e193..    x156 + x268 =G= -0.81379236;

e194..    x157 + x269 =G= -0.81379236;

e195..    x158 + x270 =G= -0.81379236;

e196..    x155 + x271 =G= -0.82457178;

e197..    x156 + x272 =G= -0.82457178;

e198..    x157 + x273 =G= -0.82457178;

e199..    x158 + x274 =G= -0.82457178;

e200..    x155 + x275 =G= -0.80226439;

e201..    x156 + x276 =G= -0.80226439;

e202..    x157 + x277 =G= -0.80226439;

e203..    x158 + x278 =G= -0.80226439;

e204..  - x155 + x219 =G= 0.98493628;

e205..  - x156 + x220 =G= 0.98493628;

e206..  - x157 + x221 =G= 0.98493628;

e207..  - x158 + x222 =G= 0.98493628;

e208..  - x155 + x223 =G= 0.9536939;

e209..  - x156 + x224 =G= 0.9536939;

e210..  - x157 + x225 =G= 0.9536939;

e211..  - x158 + x226 =G= 0.9536939;

e212..  - x155 + x227 =G= 0.9004898;

e213..  - x156 + x228 =G= 0.9004898;

e214..  - x157 + x229 =G= 0.9004898;

e215..  - x158 + x230 =G= 0.9004898;

e216..  - x155 + x231 =G= 0.9114032;

e217..  - x156 + x232 =G= 0.9114032;

e218..  - x157 + x233 =G= 0.9114032;

e219..  - x158 + x234 =G= 0.9114032;

e220..  - x155 + x235 =G= 0.90071532;

e221..  - x156 + x236 =G= 0.90071532;

e222..  - x157 + x237 =G= 0.90071532;

e223..  - x158 + x238 =G= 0.90071532;

e224..  - x155 + x239 =G= 0.88043054;

e225..  - x156 + x240 =G= 0.88043054;

e226..  - x157 + x241 =G= 0.88043054;

e227..  - x158 + x242 =G= 0.88043054;

e228..  - x155 + x243 =G= 0.8680249;

e229..  - x156 + x244 =G= 0.8680249;

e230..  - x157 + x245 =G= 0.8680249;

e231..  - x158 + x246 =G= 0.8680249;

e232..  - x155 + x247 =G= 0.81034814;

e233..  - x156 + x248 =G= 0.81034814;

e234..  - x157 + x249 =G= 0.81034814;

e235..  - x158 + x250 =G= 0.81034814;

e236..  - x155 + x251 =G= 0.80843127;

e237..  - x156 + x252 =G= 0.80843127;

e238..  - x157 + x253 =G= 0.80843127;

e239..  - x158 + x254 =G= 0.80843127;

e240..  - x155 + x259 =G= 0.79930922;

e241..  - x156 + x260 =G= 0.79930922;

e242..  - x157 + x261 =G= 0.79930922;

e243..  - x158 + x262 =G= 0.79930922;

e244..  - x155 + x263 =G= 0.84280733;

e245..  - x156 + x264 =G= 0.84280733;

e246..  - x157 + x265 =G= 0.84280733;

e247..  - x158 + x266 =G= 0.84280733;

e248..  - x155 + x267 =G= 0.81379236;

e249..  - x156 + x268 =G= 0.81379236;

e250..  - x157 + x269 =G= 0.81379236;

e251..  - x158 + x270 =G= 0.81379236;

e252..  - x155 + x271 =G= 0.82457178;

e253..  - x156 + x272 =G= 0.82457178;

e254..  - x157 + x273 =G= 0.82457178;

e255..  - x158 + x274 =G= 0.82457178;

e256..  - x155 + x275 =G= 0.80226439;

e257..  - x156 + x276 =G= 0.80226439;

e258..  - x157 + x277 =G= 0.80226439;

e259..  - x158 + x278 =G= 0.80226439;

e260..    x61 - x159 - x219 =E= 0;

e261..    x62 - x160 - x220 =E= 0;

e262..    x63 - x161 - x221 =E= 0;

e263..    x64 - x162 - x222 =E= 0;

e264..    x65 - x163 - x223 =E= 0;

e265..    x66 - x164 - x224 =E= 0;

e266..    x67 - x165 - x225 =E= 0;

e267..    x68 - x166 - x226 =E= 0;

e268..    x69 - x167 - x227 =E= 0;

e269..    x70 - x168 - x228 =E= 0;

e270..    x71 - x169 - x229 =E= 0;

e271..    x72 - x170 - x230 =E= 0;

e272..    x73 - x171 - x231 =E= 0;

e273..    x74 - x172 - x232 =E= 0;

e274..    x75 - x173 - x233 =E= 0;

e275..    x76 - x174 - x234 =E= 0;

e276..    x77 - x175 - x235 =E= 0;

e277..    x78 - x176 - x236 =E= 0;

e278..    x79 - x177 - x237 =E= 0;

e279..    x80 - x178 - x238 =E= 0;

e280..    x81 - x179 - x239 =E= 0;

e281..    x82 - x180 - x240 =E= 0;

e282..    x83 - x181 - x241 =E= 0;

e283..    x84 - x182 - x242 =E= 0;

e284..    x85 - x183 - x243 =E= 0;

e285..    x86 - x184 - x244 =E= 0;

e286..    x87 - x185 - x245 =E= 0;

e287..    x88 - x186 - x246 =E= 0;

e288..    x89 - x187 - x247 =E= 0;

e289..    x90 - x188 - x248 =E= 0;

e290..    x91 - x189 - x249 =E= 0;

e291..    x92 - x190 - x250 =E= 0;

e292..    x93 - x191 - x251 =E= 0;

e293..    x94 - x192 - x252 =E= 0;

e294..    x95 - x193 - x253 =E= 0;

e295..    x96 - x194 - x254 =E= 0;

e296..    x97 - x195 - x255 =E= 0;

e297..    x98 - x196 - x256 =E= 0;

e298..    x99 - x197 - x257 =E= 0;

e299..    x100 - x198 - x258 =E= 0;

e300..    x101 - x199 - x259 =E= 0;

e301..    x102 - x200 - x260 =E= 0;

e302..    x103 - x201 - x261 =E= 0;

e303..    x104 - x202 - x262 =E= 0;

e304..    x105 - x203 - x263 =E= 0;

e305..    x106 - x204 - x264 =E= 0;

e306..    x107 - x205 - x265 =E= 0;

e307..    x108 - x206 - x266 =E= 0;

e308..    x109 - x207 - x267 =E= 0;

e309..    x110 - x208 - x268 =E= 0;

e310..    x111 - x209 - x269 =E= 0;

e311..    x112 - x210 - x270 =E= 0;

e312..    x113 - x211 - x271 =E= 0;

e313..    x114 - x212 - x272 =E= 0;

e314..    x115 - x213 - x273 =E= 0;

e315..    x116 - x214 - x274 =E= 0;

e316..    x117 - x215 - x275 =E= 0;

e317..    x118 - x216 - x276 =E= 0;

e318..    x119 - x217 - x277 =E= 0;

e319..    x120 - x218 - x278 =E= 0;

e320..    b312 + b313 =G= 1;

e321..    b309 + b314 =G= 1;

e322..    b308 + b315 =G= 1;

e323..    b307 + b318 =G= 1;

e324..    b306 + b313 =G= 1;

e325..    b306 + b311 + b314 =G= 1;

e326..    b306 + b309 + b316 =G= 1;

e327..    b306 + b308 + b317 =G= 1;

e328..    b306 + b307 =G= 1;

e329..    b305 + b313 =G= 1;

e330..    b305 + b312 + b314 =G= 1;

e331..    b305 + b311 + b315 =G= 1;

e332..    b305 + b310 + b316 =G= 1;

e333..    b305 + b309 + b317 =G= 1;

e334..    b305 + b308 + b318 =G= 1;

e335..    b305 + b307 =G= 1;

e336..    b304 + b315 =G= 1;

e337..    b304 + b312 + b316 =G= 1;

e338..    b304 + b311 + b317 =G= 1;

e339..    b304 + b310 + b318 =G= 1;

e340..    b304 + b309 =G= 1;

e341..    b303 + b318 =G= 1;

e342..    b303 + b312 =G= 1;

e343..    b302 + b313 =G= 1;

e344..    b302 + b312 + b314 =G= 1;

e345..    b302 + b310 + b315 =G= 1;

e346..    b302 + b309 + b316 =G= 1;

e347..    b302 + b308 + b318 =G= 1;

e348..    b302 + b307 =G= 1;

e349..    b302 + b306 + b314 =G= 1;

e350..    b302 + b306 + b312 + b315 =G= 1;

e351..    b302 + b306 + b311 + b316 =G= 1;

e352..    b302 + b306 + b310 + b317 =G= 1;

e353..    b302 + b306 + b309 + b318 =G= 1;

e354..    b302 + b306 + b308 =G= 1;

e355..    b302 + b305 + b316 =G= 1;

e356..    b302 + b305 + b312 + b317 =G= 1;

e357..    b302 + b305 + b311 + b318 =G= 1;

e358..    b302 + b305 + b310 =G= 1;

e359..    b302 + b304 + b318 =G= 1;

e360..    b302 + b304 + b312 =G= 1;

e361..    b302 + b303 =G= 1;

e362..    b301 + b315 =G= 1;

e363..    b301 + b312 + b316 =G= 1;

e364..    b301 + b311 + b317 =G= 1;

e365..    b301 + b310 + b318 =G= 1;

e366..    b301 + b309 =G= 1;

e367..    b301 + b306 + b317 =G= 1;

e368..    b301 + b306 + b312 + b318 =G= 1;

e369..    b301 + b306 + b311 =G= 1;

e370..    b301 + b305 + b318 =G= 1;

e371..    b301 + b305 + b312 =G= 1;

e372..    b301 + b304 =G= 1;

e373..    b300 + b318 =G= 1;

e374..    b300 + b312 =G= 1;

e375..    b300 + b306 =G= 1;

e376..    b299 + b313 =G= 1;

e377..    b299 + b312 + b314 =G= 1;

e378..    b299 + b311 + b315 =G= 1;

e379..    b299 + b310 + b316 =G= 1;

e380..    b299 + b309 + b317 =G= 1;

e381..    b299 + b308 + b318 =G= 1;

e382..    b299 + b307 =G= 1;

e383..    b299 + b306 + b314 =G= 1;

e384..    b299 + b306 + b312 + b315 =G= 1;

e385..    b299 + b306 + b311 + b316 =G= 1;

e386..    b299 + b306 + b310 + b317 =G= 1;

e387..    b299 + b306 + b309 + b318 =G= 1;

e388..    b299 + b306 + b308 =G= 1;

e389..    b299 + b305 + b316 =G= 1;

e390..    b299 + b305 + b312 + b317 =G= 1;

e391..    b299 + b305 + b311 + b318 =G= 1;

e392..    b299 + b305 + b310 =G= 1;

e393..    b299 + b304 + b318 =G= 1;

e394..    b299 + b304 + b312 =G= 1;

e395..    b299 + b303 =G= 1;

e396..    b299 + b302 + b315 =G= 1;

e397..    b299 + b302 + b312 + b316 =G= 1;

e398..    b299 + b302 + b311 + b317 =G= 1;

e399..    b299 + b302 + b310 + b318 =G= 1;

e400..    b299 + b302 + b309 =G= 1;

e401..    b299 + b302 + b306 + b316 =G= 1;

e402..    b299 + b302 + b306 + b312 + b318 =G= 1;

e403..    b299 + b302 + b306 + b310 =G= 1;

e404..    b299 + b302 + b305 + b318 =G= 1;

e405..    b299 + b302 + b305 + b312 =G= 1;

e406..    b299 + b302 + b304 =G= 1;

e407..    b299 + b301 + b318 =G= 1;

e408..    b299 + b301 + b312 =G= 1;

e409..    b299 + b301 + b306 =G= 1;

e410..    b299 + b300 =G= 1;

e411..    b298 + b315 =G= 1;

e412..    b298 + b312 + b316 =G= 1;

e413..    b298 + b311 + b317 =G= 1;

e414..    b298 + b310 + b318 =G= 1;

e415..    b298 + b309 =G= 1;

e416..    b298 + b306 + b317 =G= 1;

e417..    b298 + b306 + b312 + b318 =G= 1;

e418..    b298 + b306 + b310 =G= 1;

e419..    b298 + b305 + b318 =G= 1;

e420..    b298 + b305 + b312 =G= 1;

e421..    b298 + b304 =G= 1;

e422..    b298 + b302 + b318 =G= 1;

e423..    b298 + b302 + b311 =G= 1;

e424..    b298 + b302 + b306 =G= 1;

e425..    b298 + b301 =G= 1;

e426..    b297 + b318 =G= 1;

e427..    b297 + b312 =G= 1;

e428..    b297 + b306 =G= 1;

e429..    b297 + b302 =G= 1;

e430..    b296 + b313 =G= 1;

e431..    b296 + b311 + b314 =G= 1;

e432..    b296 + b310 + b315 =G= 1;

e433..    b296 + b309 + b316 =G= 1;

e434..    b296 + b308 + b318 =G= 1;

e435..    b296 + b307 =G= 1;

e436..    b296 + b306 + b314 =G= 1;

e437..    b296 + b306 + b312 + b315 =G= 1;

e438..    b296 + b306 + b311 + b316 =G= 1;

e439..    b296 + b306 + b310 + b317 =G= 1;

e440..    b296 + b306 + b309 + b318 =G= 1;

e441..    b296 + b306 + b308 =G= 1;

e442..    b296 + b305 + b316 =G= 1;

e443..    b296 + b305 + b312 + b317 =G= 1;

e444..    b296 + b305 + b311 + b318 =G= 1;

e445..    b296 + b305 + b310 =G= 1;

e446..    b296 + b304 + b318 =G= 1;

e447..    b296 + b304 + b311 =G= 1;

e448..    b296 + b303 =G= 1;

e449..    b296 + b302 + b315 =G= 1;

e450..    b296 + b302 + b312 + b316 =G= 1;

e451..    b296 + b302 + b311 + b317 =G= 1;

e452..    b296 + b302 + b310 + b318 =G= 1;

e453..    b296 + b302 + b309 =G= 1;

e454..    b296 + b302 + b306 + b316 =G= 1;

e455..    b296 + b302 + b306 + b312 + b317 =G= 1;

e456..    b296 + b302 + b306 + b311 + b318 =G= 1;

e457..    b296 + b302 + b306 + b310 =G= 1;

e458..    b296 + b302 + b305 + b318 =G= 1;

e459..    b296 + b302 + b305 + b312 =G= 1;

e460..    b296 + b302 + b304 =G= 1;

e461..    b296 + b301 + b318 =G= 1;

e462..    b296 + b301 + b312 =G= 1;

e463..    b296 + b301 + b306 =G= 1;

e464..    b296 + b300 =G= 1;

e465..    b296 + b299 + b315 =G= 1;

e466..    b296 + b299 + b312 + b316 =G= 1;

e467..    b296 + b299 + b311 + b317 =G= 1;

e468..    b296 + b299 + b310 + b318 =G= 1;

e469..    b296 + b299 + b309 =G= 1;

e470..    b296 + b299 + b306 + b316 =G= 1;

e471..    b296 + b299 + b306 + b312 + b318 =G= 1;

e472..    b296 + b299 + b306 + b311 =G= 1;

e473..    b296 + b299 + b305 + b318 =G= 1;

e474..    b296 + b299 + b305 + b312 =G= 1;

e475..    b296 + b299 + b304 =G= 1;

e476..    b296 + b299 + b302 + b317 =G= 1;

e477..    b296 + b299 + b302 + b312 + b318 =G= 1;

e478..    b296 + b299 + b302 + b311 =G= 1;

e479..    b296 + b299 + b302 + b306 =G= 1;

e480..    b296 + b299 + b301 =G= 1;

e481..    b296 + b298 + b318 =G= 1;

e482..    b296 + b298 + b312 =G= 1;

e483..    b296 + b298 + b306 =G= 1;

e484..    b296 + b298 + b302 =G= 1;

e485..    b296 + b297 =G= 1;

e486..    b295 + b315 =G= 1;

e487..    b295 + b312 + b316 =G= 1;

e488..    b295 + b311 + b317 =G= 1;

e489..    b295 + b310 + b318 =G= 1;

e490..    b295 + b309 =G= 1;

e491..    b295 + b306 + b317 =G= 1;

e492..    b295 + b306 + b312 + b318 =G= 1;

e493..    b295 + b306 + b311 =G= 1;

e494..    b295 + b305 + b318 =G= 1;

e495..    b295 + b305 + b312 =G= 1;

e496..    b295 + b304 =G= 1;

e497..    b295 + b302 + b318 =G= 1;

e498..    b295 + b302 + b312 =G= 1;

e499..    b295 + b302 + b306 =G= 1;

e500..    b295 + b301 =G= 1;

e501..    b295 + b299 + b318 =G= 1;

e502..    b295 + b299 + b312 =G= 1;

e503..    b295 + b299 + b306 =G= 1;

e504..    b295 + b299 + b302 =G= 1;

e505..    b295 + b298 =G= 1;

e506..    b294 + b318 =G= 1;

e507..    b294 + b312 =G= 1;

e508..    b294 + b306 =G= 1;

e509..    b294 + b302 =G= 1;

e510..    b294 + b299 =G= 1;

e511..    b318 + b327 =G= 1;

e512..    b318 + b325 + b328 =G= 1;

e513..    b318 + b324 + b329 =G= 1;

e514..    b318 + b323 + b330 =G= 1;

e515..    b318 + b322 =G= 1;

e516..    b318 + b321 + b328 =G= 1;

e517..    b318 + b321 + b326 + b329 =G= 1;

e518..    b318 + b321 + b324 + b331 =G= 1;

e519..    b318 + b321 + b323 =G= 1;

e520..    b318 + b320 + b330 =G= 1;

e521..    b318 + b320 + b326 + b331 =G= 1;

e522..    b318 + b320 + b325 =G= 1;

e523..    b318 + b319 =G= 1;

e524..    b317 + b327 =G= 1;

e525..    b317 + b325 + b328 =G= 1;

e526..    b317 + b324 + b329 =G= 1;

e527..    b317 + b323 + b330 =G= 1;

e528..    b317 + b322 =G= 1;

e529..    b317 + b321 + b328 =G= 1;

e530..    b317 + b321 + b326 + b329 =G= 1;

e531..    b317 + b321 + b325 + b330 =G= 1;

e532..    b317 + b321 + b324 + b331 =G= 1;

e533..    b317 + b321 + b323 =G= 1;

e534..    b317 + b320 + b330 =G= 1;

e535..    b317 + b320 + b326 + b331 =G= 1;

e536..    b317 + b320 + b325 =G= 1;

e537..    b317 + b319 =G= 1;

e538..    b316 + b327 =G= 1;

e539..    b316 + b326 + b328 =G= 1;

e540..    b316 + b325 + b329 =G= 1;

e541..    b316 + b324 + b330 =G= 1;

e542..    b316 + b323 + b331 =G= 1;

e543..    b316 + b322 =G= 1;

e544..    b316 + b321 + b329 =G= 1;

e545..    b316 + b321 + b326 + b330 =G= 1;

e546..    b316 + b321 + b325 + b331 =G= 1;

e547..    b316 + b321 + b324 =G= 1;

e548..    b316 + b320 + b331 =G= 1;

e549..    b316 + b320 + b326 =G= 1;

e550..    b316 + b319 =G= 1;

e551..    b315 + b328 =G= 1;

e552..    b315 + b326 + b329 =G= 1;

e553..    b315 + b325 + b330 =G= 1;

e554..    b315 + b324 + b331 =G= 1;

e555..    b315 + b323 =G= 1;

e556..    b315 + b321 + b330 =G= 1;

e557..    b315 + b321 + b326 + b331 =G= 1;

e558..    b315 + b321 + b325 =G= 1;

e559..    b315 + b320 =G= 1;

e560..    b314 + b329 =G= 1;

e561..    b314 + b326 + b330 =G= 1;

e562..    b314 + b325 + b331 =G= 1;

e563..    b314 + b324 =G= 1;

e564..    b314 + b321 + b331 =G= 1;

e565..    b314 + b321 + b326 =G= 1;

e566..    b314 + b320 =G= 1;

e567..    b313 + b331 =G= 1;

e568..    b313 + b326 =G= 1;

e569..    b313 + b321 =G= 1;

e570..    b312 + b327 =G= 1;

e571..    b312 + b325 + b328 =G= 1;

e572..    b312 + b324 + b329 =G= 1;

e573..    b312 + b322 =G= 1;

e574..    b312 + b321 + b328 =G= 1;

e575..    b312 + b321 + b326 + b329 =G= 1;

e576..    b312 + b321 + b324 + b331 =G= 1;

e577..    b312 + b321 + b323 =G= 1;

e578..    b312 + b320 + b330 =G= 1;

e579..    b312 + b320 + b326 + b331 =G= 1;

e580..    b312 + b320 + b325 =G= 1;

e581..    b312 + b319 =G= 1;

e582..    b312 + b318 + b327 =G= 1;

e583..    b312 + b318 + b325 + b328 =G= 1;

e584..    b312 + b318 + b324 + b329 =G= 1;

e585..    b312 + b318 + b323 + b331 =G= 1;

e586..    b312 + b318 + b322 =G= 1;

e587..    b312 + b318 + b321 + b328 =G= 1;

e588..    b312 + b318 + b321 + b326 + b329 =G= 1;

e589..    b312 + b318 + b321 + b325 + b330 =G= 1;

e590..    b312 + b318 + b321 + b324 + b331 =G= 1;

e591..    b312 + b318 + b321 + b323 =G= 1;

e592..    b312 + b318 + b320 + b330 =G= 1;

e593..    b312 + b318 + b320 + b326 + b331 =G= 1;

e594..    b312 + b318 + b320 + b325 =G= 1;

e595..    b312 + b318 + b319 =G= 1;

e596..    b312 + b317 + b327 =G= 1;

e597..    b312 + b317 + b326 + b328 =G= 1;

e598..    b312 + b317 + b325 + b329 =G= 1;

e599..    b312 + b317 + b324 + b330 =G= 1;

e600..    b312 + b317 + b323 + b331 =G= 1;

e601..    b312 + b317 + b322 =G= 1;

e602..    b312 + b317 + b321 + b329 =G= 1;

e603..    b312 + b317 + b321 + b326 + b330 =G= 1;

e604..    b312 + b317 + b321 + b325 + b331 =G= 1;

e605..    b312 + b317 + b321 + b324 =G= 1;

e606..    b312 + b317 + b320 + b331 =G= 1;

e607..    b312 + b317 + b320 + b326 =G= 1;

e608..    b312 + b317 + b319 =G= 1;

e609..    b312 + b316 + b328 =G= 1;

e610..    b312 + b316 + b326 + b329 =G= 1;

e611..    b312 + b316 + b325 + b330 =G= 1;

e612..    b312 + b316 + b324 + b331 =G= 1;

e613..    b312 + b316 + b323 =G= 1;

e614..    b312 + b316 + b321 + b330 =G= 1;

e615..    b312 + b316 + b321 + b326 + b331 =G= 1;

e616..    b312 + b316 + b321 + b325 =G= 1;

e617..    b312 + b316 + b320 =G= 1;

e618..    b312 + b315 + b329 =G= 1;

e619..    b312 + b315 + b326 + b330 =G= 1;

e620..    b312 + b315 + b325 + b331 =G= 1;

e621..    b312 + b315 + b324 =G= 1;

e622..    b312 + b315 + b321 + b331 =G= 1;

e623..    b312 + b315 + b321 + b326 =G= 1;

e624..    b312 + b315 + b320 =G= 1;

e625..    b312 + b314 + b330 =G= 1;

e626..    b312 + b314 + b326 + b331 =G= 1;

e627..    b312 + b314 + b325 =G= 1;

e628..    b312 + b314 + b321 =G= 1;

e629..    b311 + b327 =G= 1;

e630..    b311 + b325 + b328 =G= 1;

e631..    b311 + b324 + b329 =G= 1;

e632..    b311 + b323 + b330 =G= 1;

e633..    b311 + b322 =G= 1;

e634..    b311 + b321 + b328 =G= 1;

e635..    b311 + b321 + b326 + b329 =G= 1;

e636..    b311 + b321 + b325 + b330 =G= 1;

e637..    b311 + b321 + b324 + b331 =G= 1;

e638..    b311 + b321 + b323 =G= 1;

e639..    b311 + b320 + b330 =G= 1;

e640..    b311 + b320 + b326 + b331 =G= 1;

e641..    b311 + b320 + b325 =G= 1;

e642..    b311 + b319 =G= 1;

e643..    b311 + b318 + b327 =G= 1;

e644..    b311 + b318 + b326 + b328 =G= 1;

e645..    b311 + b318 + b325 + b329 =G= 1;

e646..    b311 + b318 + b324 + b330 =G= 1;

e647..    b311 + b318 + b323 + b331 =G= 1;

e648..    b311 + b318 + b322 =G= 1;

e649..    b311 + b318 + b321 + b329 =G= 1;

e650..    b311 + b318 + b321 + b326 + b330 =G= 1;

e651..    b311 + b318 + b321 + b325 + b331 =G= 1;

e652..    b311 + b318 + b321 + b324 =G= 1;

e653..    b311 + b318 + b320 + b331 =G= 1;

e654..    b311 + b318 + b320 + b326 =G= 1;

e655..    b311 + b318 + b319 =G= 1;

e656..    b311 + b317 + b328 =G= 1;

e657..    b311 + b317 + b326 + b329 =G= 1;

e658..    b311 + b317 + b325 + b330 =G= 1;

e659..    b311 + b317 + b324 + b331 =G= 1;

e660..    b311 + b317 + b323 =G= 1;

e661..    b311 + b317 + b321 + b330 =G= 1;

e662..    b311 + b317 + b321 + b326 + b331 =G= 1;

e663..    b311 + b317 + b321 + b325 =G= 1;

e664..    b311 + b317 + b320 =G= 1;

e665..    b311 + b316 + b329 =G= 1;

e666..    b311 + b316 + b326 + b330 =G= 1;

e667..    b311 + b316 + b325 + b331 =G= 1;

e668..    b311 + b316 + b324 =G= 1;

e669..    b311 + b316 + b321 + b331 =G= 1;

e670..    b311 + b316 + b321 + b326 =G= 1;

e671..    b311 + b316 + b320 =G= 1;

e672..    b311 + b315 + b329 =G= 1;

e673..    b311 + b315 + b326 + b331 =G= 1;

e674..    b311 + b315 + b325 =G= 1;

e675..    b311 + b315 + b321 =G= 1;

e676..    b311 + b314 + b330 =G= 1;

e677..    b311 + b314 + b326 + b331 =G= 1;

e678..    b311 + b314 + b325 =G= 1;

e679..    b311 + b314 + b321 =G= 1;

e680..    b310 + b327 =G= 1;

e681..    b310 + b326 + b328 =G= 1;

e682..    b310 + b325 + b329 =G= 1;

e683..    b310 + b324 + b330 =G= 1;

e684..    b310 + b323 + b331 =G= 1;

e685..    b310 + b322 =G= 1;

e686..    b310 + b321 + b329 =G= 1;

e687..    b310 + b321 + b326 + b330 =G= 1;

e688..    b310 + b321 + b325 + b331 =G= 1;

e689..    b310 + b321 + b324 =G= 1;

e690..    b310 + b320 + b331 =G= 1;

e691..    b310 + b320 + b326 =G= 1;

e692..    b310 + b319 =G= 1;

e693..    b310 + b318 + b328 =G= 1;

e694..    b310 + b318 + b326 + b329 =G= 1;

e695..    b310 + b318 + b325 + b330 =G= 1;

e696..    b310 + b318 + b324 + b331 =G= 1;

e697..    b310 + b318 + b323 =G= 1;

e698..    b310 + b318 + b321 + b330 =G= 1;

e699..    b310 + b318 + b321 + b326 + b331 =G= 1;

e700..    b310 + b318 + b321 + b325 =G= 1;

e701..    b310 + b318 + b320 =G= 1;

e702..    b310 + b317 + b329 =G= 1;

e703..    b310 + b317 + b326 + b330 =G= 1;

e704..    b310 + b317 + b325 + b331 =G= 1;

e705..    b310 + b317 + b324 =G= 1;

e706..    b310 + b317 + b321 + b331 =G= 1;

e707..    b310 + b317 + b321 + b326 =G= 1;

e708..    b310 + b317 + b320 =G= 1;

e709..    b310 + b316 + b329 =G= 1;

e710..    b310 + b316 + b326 + b330 =G= 1;

e711..    b310 + b316 + b325 + b331 =G= 1;

e712..    b310 + b316 + b324 =G= 1;

e713..    b310 + b316 + b321 + b331 =G= 1;

e714..    b310 + b316 + b321 + b326 =G= 1;

e715..    b310 + b316 + b320 =G= 1;

e716..    b310 + b315 + b330 =G= 1;

e717..    b310 + b315 + b326 + b331 =G= 1;

e718..    b310 + b315 + b325 =G= 1;

e719..    b310 + b315 + b321 =G= 1;

e720..    b310 + b314 + b331 =G= 1;

e721..    b310 + b314 + b326 =G= 1;

e722..    b310 + b314 + b321 =G= 1;

e723..    b309 + b328 =G= 1;

e724..    b309 + b326 + b329 =G= 1;

e725..    b309 + b325 + b330 =G= 1;

e726..    b309 + b324 + b331 =G= 1;

e727..    b309 + b323 =G= 1;

e728..    b309 + b321 + b330 =G= 1;

e729..    b309 + b321 + b326 + b331 =G= 1;

e730..    b309 + b321 + b325 =G= 1;

e731..    b309 + b320 =G= 1;

e732..    b309 + b318 + b329 =G= 1;

e733..    b309 + b318 + b326 + b330 =G= 1;

e734..    b309 + b318 + b325 + b331 =G= 1;

e735..    b309 + b318 + b324 =G= 1;

e736..    b309 + b318 + b321 + b331 =G= 1;

e737..    b309 + b318 + b321 + b326 =G= 1;

e738..    b309 + b318 + b320 =G= 1;

e739..    b309 + b317 + b329 =G= 1;

e740..    b309 + b317 + b326 + b330 =G= 1;

e741..    b309 + b317 + b325 =G= 1;

e742..    b309 + b317 + b321 + b331 =G= 1;

e743..    b309 + b317 + b321 + b326 =G= 1;

e744..    b309 + b317 + b320 =G= 1;

e745..    b309 + b316 + b330 =G= 1;

e746..    b309 + b316 + b326 + b331 =G= 1;

e747..    b309 + b316 + b325 =G= 1;

e748..    b309 + b316 + b321 =G= 1;

e749..    b309 + b315 + b331 =G= 1;

e750..    b309 + b315 + b326 =G= 1;

e751..    b309 + b315 + b321 =G= 1;

e752..    b308 + b329 =G= 1;

e753..    b308 + b326 + b330 =G= 1;

e754..    b308 + b325 + b331 =G= 1;

e755..    b308 + b324 =G= 1;

e756..    b308 + b321 + b331 =G= 1;

e757..    b308 + b321 + b326 =G= 1;

e758..    b308 + b320 =G= 1;

e759..    b308 + b318 + b329 =G= 1;

e760..    b308 + b318 + b326 + b331 =G= 1;

e761..    b308 + b318 + b325 =G= 1;

e762..    b308 + b318 + b321 =G= 1;

e763..    b308 + b317 + b330 =G= 1;

e764..    b308 + b317 + b326 + b331 =G= 1;

e765..    b308 + b317 + b325 =G= 1;

e766..    b308 + b317 + b321 =G= 1;

e767..    b308 + b316 + b331 =G= 1;

e768..    b308 + b316 + b326 =G= 1;

e769..    b308 + b316 + b321 =G= 1;

e770..    b307 + b331 =G= 1;

e771..    b307 + b326 =G= 1;

e772..    b307 + b321 =G= 1;

e773..    b306 + b327 =G= 1;

e774..    b306 + b325 + b328 =G= 1;

e775..    b306 + b324 + b329 =G= 1;

e776..    b306 + b323 + b330 =G= 1;

e777..    b306 + b322 =G= 1;

e778..    b306 + b321 + b328 =G= 1;

e779..    b306 + b321 + b326 + b329 =G= 1;

e780..    b306 + b321 + b325 + b330 =G= 1;

e781..    b306 + b321 + b324 + b331 =G= 1;

e782..    b306 + b321 + b323 =G= 1;

e783..    b306 + b320 + b330 =G= 1;

e784..    b306 + b320 + b326 + b331 =G= 1;

e785..    b306 + b320 + b325 =G= 1;

e786..    b306 + b319 =G= 1;

e787..    b306 + b318 + b327 =G= 1;

e788..    b306 + b318 + b326 + b328 =G= 1;

e789..    b306 + b318 + b325 + b329 =G= 1;

e790..    b306 + b318 + b324 + b330 =G= 1;

e791..    b306 + b318 + b323 + b331 =G= 1;

e792..    b306 + b318 + b322 =G= 1;

e793..    b306 + b318 + b321 + b329 =G= 1;

e794..    b306 + b318 + b321 + b326 + b330 =G= 1;

e795..    b306 + b318 + b321 + b325 + b331 =G= 1;

e796..    b306 + b318 + b321 + b324 =G= 1;

e797..    b306 + b318 + b320 + b331 =G= 1;

e798..    b306 + b318 + b320 + b326 =G= 1;

e799..    b306 + b318 + b319 =G= 1;

e800..    b306 + b317 + b328 =G= 1;

e801..    b306 + b317 + b325 + b329 =G= 1;

e802..    b306 + b317 + b324 + b331 =G= 1;

e803..    b306 + b317 + b323 =G= 1;

e804..    b306 + b317 + b321 + b329 =G= 1;

e805..    b306 + b317 + b321 + b326 + b330 =G= 1;

e806..    b306 + b317 + b321 + b325 + b331 =G= 1;

e807..    b306 + b317 + b321 + b324 =G= 1;

e808..    b306 + b317 + b320 + b331 =G= 1;

e809..    b306 + b317 + b320 + b326 =G= 1;

e810..    b306 + b317 + b319 =G= 1;

e811..    b306 + b316 + b328 =G= 1;

e812..    b306 + b316 + b326 + b329 =G= 1;

e813..    b306 + b316 + b325 + b330 =G= 1;

e814..    b306 + b316 + b324 + b331 =G= 1;

e815..    b306 + b316 + b323 =G= 1;

e816..    b306 + b316 + b321 + b330 =G= 1;

e817..    b306 + b316 + b321 + b326 + b331 =G= 1;

e818..    b306 + b316 + b321 + b325 =G= 1;

e819..    b306 + b316 + b320 =G= 1;

e820..    b306 + b315 + b329 =G= 1;

e821..    b306 + b315 + b326 + b330 =G= 1;

e822..    b306 + b315 + b325 + b331 =G= 1;

e823..    b306 + b315 + b324 =G= 1;

e824..    b306 + b315 + b321 + b331 =G= 1;

e825..    b306 + b315 + b321 + b326 =G= 1;

e826..    b306 + b315 + b320 =G= 1;

e827..    b306 + b314 + b330 =G= 1;

e828..    b306 + b314 + b326 + b331 =G= 1;

e829..    b306 + b314 + b325 =G= 1;

e830..    b306 + b314 + b321 =G= 1;

e831..    b306 + b312 + b327 =G= 1;

e832..    b306 + b312 + b326 + b328 =G= 1;

e833..    b306 + b312 + b325 + b329 =G= 1;

e834..    b306 + b312 + b324 + b330 =G= 1;

e835..    b306 + b312 + b323 + b331 =G= 1;

e836..    b306 + b312 + b322 =G= 1;

e837..    b306 + b312 + b321 + b329 =G= 1;

e838..    b306 + b312 + b321 + b326 + b330 =G= 1;

e839..    b306 + b312 + b321 + b325 + b331 =G= 1;

e840..    b306 + b312 + b321 + b324 =G= 1;

e841..    b306 + b312 + b320 + b331 =G= 1;

e842..    b306 + b312 + b320 + b326 =G= 1;

e843..    b306 + b312 + b319 =G= 1;

e844..    b306 + b312 + b318 + b328 =G= 1;

e845..    b306 + b312 + b318 + b326 + b329 =G= 1;

e846..    b306 + b312 + b318 + b325 + b330 =G= 1;

e847..    b306 + b312 + b318 + b324 + b331 =G= 1;

e848..    b306 + b312 + b318 + b323 =G= 1;

e849..    b306 + b312 + b318 + b321 + b330 =G= 1;

e850..    b306 + b312 + b318 + b321 + b326 + b331 =G= 1;

e851..    b306 + b312 + b318 + b321 + b325 =G= 1;

e852..    b306 + b312 + b318 + b320 =G= 1;

e853..    b306 + b312 + b317 + b328 =G= 1;

e854..    b306 + b312 + b317 + b326 + b329 =G= 1;

e855..    b306 + b312 + b317 + b325 + b330 =G= 1;

e856..    b306 + b312 + b317 + b324 + b331 =G= 1;

e857..    b306 + b312 + b317 + b323 =G= 1;

e858..    b306 + b312 + b317 + b321 + b330 =G= 1;

e859..    b306 + b312 + b317 + b321 + b326 + b331 =G= 1;

e860..    b306 + b312 + b317 + b321 + b325 =G= 1;

e861..    b306 + b312 + b317 + b320 =G= 1;

e862..    b306 + b312 + b316 + b329 =G= 1;

e863..    b306 + b312 + b316 + b326 + b330 =G= 1;

e864..    b306 + b312 + b316 + b325 + b331 =G= 1;

e865..    b306 + b312 + b316 + b324 =G= 1;

e866..    b306 + b312 + b316 + b321 + b331 =G= 1;

e867..    b306 + b312 + b316 + b321 + b326 =G= 1;

e868..    b306 + b312 + b316 + b320 =G= 1;

e869..    b306 + b312 + b315 + b330 =G= 1;

e870..    b306 + b312 + b315 + b326 + b331 =G= 1;

e871..    b306 + b312 + b315 + b325 =G= 1;

e872..    b306 + b312 + b315 + b321 =G= 1;

e873..    b306 + b312 + b314 + b331 =G= 1;

e874..    b306 + b312 + b314 + b326 =G= 1;

e875..    b306 + b312 + b314 + b321 =G= 1;

e876..    b306 + b311 + b327 =G= 1;

e877..    b306 + b311 + b326 + b328 =G= 1;

e878..    b306 + b311 + b325 + b329 =G= 1;

e879..    b306 + b311 + b324 + b331 =G= 1;

e880..    b306 + b311 + b323 =G= 1;

e881..    b306 + b311 + b321 + b329 =G= 1;

e882..    b306 + b311 + b321 + b326 + b330 =G= 1;

e883..    b306 + b311 + b321 + b325 + b331 =G= 1;

e884..    b306 + b311 + b321 + b324 =G= 1;

e885..    b306 + b311 + b320 =G= 1;

e886..    b306 + b311 + b318 + b328 =G= 1;

e887..    b306 + b311 + b318 + b326 + b329 =G= 1;

e888..    b306 + b311 + b318 + b325 + b330 =G= 1;

e889..    b306 + b311 + b318 + b324 + b331 =G= 1;

e890..    b306 + b311 + b318 + b323 =G= 1;

e891..    b306 + b311 + b318 + b321 + b330 =G= 1;

e892..    b306 + b311 + b318 + b321 + b326 + b331 =G= 1;

e893..    b306 + b311 + b318 + b321 + b325 =G= 1;

e894..    b306 + b311 + b318 + b320 =G= 1;

e895..    b306 + b311 + b317 + b329 =G= 1;

e896..    b306 + b311 + b317 + b326 + b330 =G= 1;

e897..    b306 + b311 + b317 + b325 + b331 =G= 1;

e898..    b306 + b311 + b317 + b324 =G= 1;

e899..    b306 + b311 + b317 + b321 + b331 =G= 1;

e900..    b306 + b311 + b317 + b321 + b326 =G= 1;

e901..    b306 + b311 + b317 + b320 =G= 1;

e902..    b306 + b311 + b316 + b330 =G= 1;

e903..    b306 + b311 + b316 + b326 + b331 =G= 1;

e904..    b306 + b311 + b316 + b325 =G= 1;

e905..    b306 + b311 + b316 + b321 =G= 1;

e906..    b306 + b311 + b315 + b331 =G= 1;

e907..    b306 + b311 + b315 + b326 =G= 1;

e908..    b306 + b311 + b315 + b321 =G= 1;

e909..    b306 + b310 + b328 =G= 1;

e910..    b306 + b310 + b326 + b329 =G= 1;

e911..    b306 + b310 + b325 + b330 =G= 1;

e912..    b306 + b310 + b324 + b331 =G= 1;

e913..    b306 + b310 + b323 =G= 1;

e914..    b306 + b310 + b321 + b330 =G= 1;

e915..    b306 + b310 + b321 + b326 + b331 =G= 1;

e916..    b306 + b310 + b321 + b325 =G= 1;

e917..    b306 + b310 + b320 =G= 1;

e918..    b306 + b310 + b318 + b329 =G= 1;

e919..    b306 + b310 + b318 + b326 + b330 =G= 1;

e920..    b306 + b310 + b318 + b325 + b331 =G= 1;

e921..    b306 + b310 + b318 + b324 =G= 1;

e922..    b306 + b310 + b318 + b321 + b331 =G= 1;

e923..    b306 + b310 + b318 + b321 + b326 =G= 1;

e924..    b306 + b310 + b318 + b320 =G= 1;

e925..    b306 + b310 + b317 + b330 =G= 1;

e926..    b306 + b310 + b317 + b326 + b331 =G= 1;

e927..    b306 + b310 + b317 + b325 =G= 1;

e928..    b306 + b310 + b317 + b321 =G= 1;

e929..    b306 + b310 + b316 + b331 =G= 1;

e930..    b306 + b310 + b316 + b326 =G= 1;

e931..    b306 + b310 + b316 + b321 =G= 1;

e932..    b306 + b310 + b315 + b331 =G= 1;

e933..    b306 + b310 + b315 + b326 =G= 1;

e934..    b306 + b310 + b315 + b321 =G= 1;

e935..    b306 + b309 + b329 =G= 1;

e936..    b306 + b309 + b326 + b330 =G= 1;

e937..    b306 + b309 + b325 + b331 =G= 1;

e938..    b306 + b309 + b324 =G= 1;

e939..    b306 + b309 + b321 + b331 =G= 1;

e940..    b306 + b309 + b321 + b326 =G= 1;

e941..    b306 + b309 + b320 =G= 1;

e942..    b306 + b309 + b318 + b330 =G= 1;

e943..    b306 + b309 + b318 + b326 + b331 =G= 1;

e944..    b306 + b309 + b318 + b325 =G= 1;

e945..    b306 + b309 + b318 + b321 =G= 1;

e946..    b306 + b309 + b317 + b331 =G= 1;

e947..    b306 + b309 + b317 + b326 =G= 1;

e948..    b306 + b309 + b317 + b321 =G= 1;

e949..    b306 + b308 + b330 =G= 1;

e950..    b306 + b308 + b326 + b331 =G= 1;

e951..    b306 + b308 + b325 =G= 1;

e952..    b306 + b308 + b321 =G= 1;

e953..    b306 + b308 + b318 + b331 =G= 1;

e954..    b306 + b308 + b318 + b326 =G= 1;

e955..    b306 + b308 + b318 + b321 =G= 1;

e956..    b305 + b327 =G= 1;

e957..    b305 + b326 + b328 =G= 1;

e958..    b305 + b325 + b329 =G= 1;

e959..    b305 + b324 + b330 =G= 1;

e960..    b305 + b323 + b331 =G= 1;

e961..    b305 + b322 =G= 1;

e962..    b305 + b321 + b329 =G= 1;

e963..    b305 + b321 + b326 + b330 =G= 1;

e964..    b305 + b321 + b325 + b331 =G= 1;

e965..    b305 + b321 + b324 =G= 1;

e966..    b305 + b320 + b331 =G= 1;

e967..    b305 + b320 + b326 =G= 1;

e968..    b305 + b319 =G= 1;

e969..    b305 + b318 + b328 =G= 1;

e970..    b305 + b318 + b326 + b329 =G= 1;

e971..    b305 + b318 + b325 + b330 =G= 1;

e972..    b305 + b318 + b324 + b331 =G= 1;

e973..    b305 + b318 + b323 =G= 1;

e974..    b305 + b318 + b321 + b330 =G= 1;

e975..    b305 + b318 + b321 + b326 + b331 =G= 1;

e976..    b305 + b318 + b321 + b325 =G= 1;

e977..    b305 + b318 + b320 =G= 1;

e978..    b305 + b317 + b329 =G= 1;

e979..    b305 + b317 + b326 + b330 =G= 1;

e980..    b305 + b317 + b325 + b331 =G= 1;

e981..    b305 + b317 + b324 =G= 1;

e982..    b305 + b317 + b321 + b331 =G= 1;

e983..    b305 + b317 + b321 + b326 =G= 1;

e984..    b305 + b317 + b320 =G= 1;

e985..    b305 + b316 + b330 =G= 1;

e986..    b305 + b316 + b326 + b331 =G= 1;

e987..    b305 + b316 + b325 =G= 1;

e988..    b305 + b316 + b321 =G= 1;

e989..    b305 + b315 + b331 =G= 1;

e990..    b305 + b315 + b326 =G= 1;

e991..    b305 + b315 + b321 =G= 1;

e992..    b305 + b314 + b331 =G= 1;

e993..    b305 + b314 + b326 =G= 1;

e994..    b305 + b314 + b321 =G= 1;

e995..    b305 + b312 + b328 =G= 1;

e996..    b305 + b312 + b326 + b329 =G= 1;

e997..    b305 + b312 + b325 + b330 =G= 1;

e998..    b305 + b312 + b324 + b331 =G= 1;

e999..    b305 + b312 + b323 =G= 1;

e1000..    b305 + b312 + b321 + b330 =G= 1;

e1001..    b305 + b312 + b321 + b326 + b331 =G= 1;

e1002..    b305 + b312 + b321 + b325 =G= 1;

e1003..    b305 + b312 + b320 =G= 1;

e1004..    b305 + b312 + b318 + b329 =G= 1;

e1005..    b305 + b312 + b318 + b326 + b330 =G= 1;

e1006..    b305 + b312 + b318 + b325 + b331 =G= 1;

e1007..    b305 + b312 + b318 + b324 =G= 1;

e1008..    b305 + b312 + b318 + b321 + b331 =G= 1;

e1009..    b305 + b312 + b318 + b321 + b326 =G= 1;

e1010..    b305 + b312 + b318 + b320 =G= 1;

e1011..    b305 + b312 + b317 + b330 =G= 1;

e1012..    b305 + b312 + b317 + b326 + b331 =G= 1;

e1013..    b305 + b312 + b317 + b325 =G= 1;

e1014..    b305 + b312 + b317 + b321 =G= 1;

e1015..    b305 + b312 + b316 + b331 =G= 1;

e1016..    b305 + b312 + b316 + b326 =G= 1;

e1017..    b305 + b312 + b316 + b321 =G= 1;

e1018..    b305 + b312 + b315 + b331 =G= 1;

e1019..    b305 + b312 + b315 + b326 =G= 1;

e1020..    b305 + b312 + b315 + b321 =G= 1;

e1021..    b305 + b311 + b329 =G= 1;

e1022..    b305 + b311 + b326 + b330 =G= 1;

e1023..    b305 + b311 + b325 + b331 =G= 1;

e1024..    b305 + b311 + b324 =G= 1;

e1025..    b305 + b311 + b321 + b331 =G= 1;

e1026..    b305 + b311 + b321 + b326 =G= 1;

e1027..    b305 + b311 + b320 =G= 1;

e1028..    b305 + b311 + b318 + b330 =G= 1;

e1029..    b305 + b311 + b318 + b326 + b331 =G= 1;

e1030..    b305 + b311 + b318 + b325 =G= 1;

e1031..    b305 + b311 + b318 + b321 =G= 1;

e1032..    b305 + b311 + b317 + b331 =G= 1;

e1033..    b305 + b311 + b317 + b325 =G= 1;

e1034..    b305 + b311 + b317 + b321 =G= 1;

e1035..    b305 + b311 + b316 + b331 =G= 1;

e1036..    b305 + b311 + b316 + b326 =G= 1;

e1037..    b305 + b311 + b316 + b321 =G= 1;

e1038..    b305 + b310 + b330 =G= 1;

e1039..    b305 + b310 + b326 + b331 =G= 1;

e1040..    b305 + b310 + b325 =G= 1;

e1041..    b305 + b310 + b321 =G= 1;

e1042..    b305 + b310 + b318 + b331 =G= 1;

e1043..    b305 + b310 + b318 + b325 =G= 1;

e1044..    b305 + b310 + b318 + b321 =G= 1;

e1045..    b305 + b310 + b317 + b331 =G= 1;

e1046..    b305 + b310 + b317 + b326 =G= 1;

e1047..    b305 + b310 + b317 + b321 =G= 1;

e1048..    b305 + b309 + b330 =G= 1;

e1049..    b305 + b309 + b326 + b331 =G= 1;

e1050..    b305 + b309 + b325 =G= 1;

e1051..    b305 + b309 + b321 =G= 1;

e1052..    b305 + b309 + b318 + b331 =G= 1;

e1053..    b305 + b309 + b318 + b326 =G= 1;

e1054..    b305 + b309 + b318 + b321 =G= 1;

e1055..    b305 + b308 + b331 =G= 1;

e1056..    b305 + b308 + b326 =G= 1;

e1057..    b305 + b308 + b321 =G= 1;

e1058..    b304 + b329 =G= 1;

e1059..    b304 + b326 + b330 =G= 1;

e1060..    b304 + b325 + b331 =G= 1;

e1061..    b304 + b324 =G= 1;

e1062..    b304 + b321 + b331 =G= 1;

e1063..    b304 + b321 + b326 =G= 1;

e1064..    b304 + b320 =G= 1;

e1065..    b304 + b318 + b330 =G= 1;

e1066..    b304 + b318 + b326 + b331 =G= 1;

e1067..    b304 + b318 + b325 =G= 1;

e1068..    b304 + b318 + b321 =G= 1;

e1069..    b304 + b317 + b330 =G= 1;

e1070..    b304 + b317 + b326 + b331 =G= 1;

e1071..    b304 + b317 + b325 =G= 1;

e1072..    b304 + b317 + b321 =G= 1;

e1073..    b304 + b316 + b331 =G= 1;

e1074..    b304 + b316 + b326 =G= 1;

e1075..    b304 + b316 + b321 =G= 1;

e1076..    b304 + b312 + b330 =G= 1;

e1077..    b304 + b312 + b326 + b331 =G= 1;

e1078..    b304 + b312 + b325 =G= 1;

e1079..    b304 + b312 + b321 =G= 1;

e1080..    b304 + b312 + b318 + b331 =G= 1;

e1081..    b304 + b312 + b318 + b325 =G= 1;

e1082..    b304 + b312 + b318 + b321 =G= 1;

e1083..    b304 + b312 + b317 + b331 =G= 1;

e1084..    b304 + b312 + b317 + b326 =G= 1;

e1085..    b304 + b312 + b317 + b321 =G= 1;

e1086..    b304 + b311 + b330 =G= 1;

e1087..    b304 + b311 + b326 + b331 =G= 1;

e1088..    b304 + b311 + b325 =G= 1;

e1089..    b304 + b311 + b321 =G= 1;

e1090..    b304 + b311 + b318 + b331 =G= 1;

e1091..    b304 + b311 + b318 + b326 =G= 1;

e1092..    b304 + b311 + b318 + b321 =G= 1;

e1093..    b304 + b310 + b331 =G= 1;

e1094..    b304 + b310 + b326 =G= 1;

e1095..    b304 + b310 + b321 =G= 1;

e1096..    b303 + b331 =G= 1;

e1097..    b303 + b326 =G= 1;

e1098..    b303 + b321 =G= 1;

e1099..    b302 + b327 =G= 1;

e1100..    b302 + b326 + b328 =G= 1;

e1101..    b302 + b325 + b329 =G= 1;

e1102..    b302 + b324 + b330 =G= 1;

e1103..    b302 + b323 + b331 =G= 1;

e1104..    b302 + b322 =G= 1;

e1105..    b302 + b321 + b329 =G= 1;

e1106..    b302 + b321 + b326 + b330 =G= 1;

e1107..    b302 + b321 + b325 + b331 =G= 1;

e1108..    b302 + b321 + b324 =G= 1;

e1109..    b302 + b320 + b331 =G= 1;

e1110..    b302 + b320 + b326 =G= 1;

e1111..    b302 + b319 =G= 1;

e1112..    b302 + b318 + b328 =G= 1;

e1113..    b302 + b318 + b326 + b329 =G= 1;

e1114..    b302 + b318 + b324 + b331 =G= 1;

e1115..    b302 + b318 + b323 =G= 1;

e1116..    b302 + b318 + b321 + b329 =G= 1;

e1117..    b302 + b318 + b321 + b326 + b330 =G= 1;

e1118..    b302 + b318 + b321 + b325 + b331 =G= 1;

e1119..    b302 + b318 + b321 + b324 =G= 1;

e1120..    b302 + b318 + b320 =G= 1;

e1121..    b302 + b317 + b328 =G= 1;

e1122..    b302 + b317 + b326 + b329 =G= 1;

e1123..    b302 + b317 + b325 + b330 =G= 1;

e1124..    b302 + b317 + b324 + b331 =G= 1;

e1125..    b302 + b317 + b323 =G= 1;

e1126..    b302 + b317 + b321 + b330 =G= 1;

e1127..    b302 + b317 + b321 + b326 + b331 =G= 1;

e1128..    b302 + b317 + b321 + b325 =G= 1;

e1129..    b302 + b317 + b320 =G= 1;

e1130..    b302 + b316 + b329 =G= 1;

e1131..    b302 + b316 + b326 + b330 =G= 1;

e1132..    b302 + b316 + b325 + b331 =G= 1;

e1133..    b302 + b316 + b324 =G= 1;

e1134..    b302 + b316 + b321 + b331 =G= 1;

e1135..    b302 + b316 + b321 + b326 =G= 1;

e1136..    b302 + b316 + b320 =G= 1;

e1137..    b302 + b315 + b330 =G= 1;

e1138..    b302 + b315 + b326 + b331 =G= 1;

e1139..    b302 + b315 + b325 =G= 1;

e1140..    b302 + b315 + b321 =G= 1;

e1141..    b302 + b314 + b331 =G= 1;

e1142..    b302 + b314 + b326 =G= 1;

e1143..    b302 + b314 + b321 =G= 1;

e1144..    b302 + b312 + b328 =G= 1;

e1145..    b302 + b312 + b325 + b329 =G= 1;

e1146..    b302 + b312 + b324 + b330 =G= 1;

e1147..    b302 + b312 + b323 + b331 =G= 1;

e1148..    b302 + b312 + b322 =G= 1;

e1149..    b302 + b312 + b321 + b329 =G= 1;

e1150..    b302 + b312 + b321 + b326 + b330 =G= 1;

e1151..    b302 + b312 + b321 + b325 =G= 1;

e1152..    b302 + b312 + b320 =G= 1;

e1153..    b302 + b312 + b318 + b328 =G= 1;

e1154..    b302 + b312 + b318 + b326 + b329 =G= 1;

e1155..    b302 + b312 + b318 + b325 + b330 =G= 1;

e1156..    b302 + b312 + b318 + b324 + b331 =G= 1;

e1157..    b302 + b312 + b318 + b323 =G= 1;

e1158..    b302 + b312 + b318 + b321 + b330 =G= 1;

e1159..    b302 + b312 + b318 + b321 + b326 + b331 =G= 1;

e1160..    b302 + b312 + b318 + b321 + b325 =G= 1;

e1161..    b302 + b312 + b318 + b320 =G= 1;

e1162..    b302 + b312 + b317 + b329 =G= 1;

e1163..    b302 + b312 + b317 + b326 + b330 =G= 1;

e1164..    b302 + b312 + b317 + b325 + b331 =G= 1;

e1165..    b302 + b312 + b317 + b324 =G= 1;

e1166..    b302 + b312 + b317 + b321 + b331 =G= 1;

e1167..    b302 + b312 + b317 + b321 + b326 =G= 1;

e1168..    b302 + b312 + b317 + b320 =G= 1;

e1169..    b302 + b312 + b316 + b330 =G= 1;

e1170..    b302 + b312 + b316 + b326 + b331 =G= 1;

e1171..    b302 + b312 + b316 + b325 =G= 1;

e1172..    b302 + b312 + b316 + b321 =G= 1;

e1173..    b302 + b312 + b315 + b331 =G= 1;

e1174..    b302 + b312 + b315 + b326 =G= 1;

e1175..    b302 + b312 + b315 + b321 =G= 1;

e1176..    b302 + b311 + b328 =G= 1;

e1177..    b302 + b311 + b326 + b329 =G= 1;

e1178..    b302 + b311 + b325 + b330 =G= 1;

e1179..    b302 + b311 + b324 + b331 =G= 1;

e1180..    b302 + b311 + b323 =G= 1;

e1181..    b302 + b311 + b321 + b330 =G= 1;

e1182..    b302 + b311 + b321 + b326 + b331 =G= 1;

e1183..    b302 + b311 + b321 + b325 =G= 1;

e1184..    b302 + b311 + b320 =G= 1;

e1185..    b302 + b311 + b318 + b329 =G= 1;

e1186..    b302 + b311 + b318 + b326 + b330 =G= 1;

e1187..    b302 + b311 + b318 + b325 + b331 =G= 1;

e1188..    b302 + b311 + b318 + b324 =G= 1;

e1189..    b302 + b311 + b318 + b321 + b331 =G= 1;

e1190..    b302 + b311 + b318 + b321 + b326 =G= 1;

e1191..    b302 + b311 + b318 + b320 =G= 1;

e1192..    b302 + b311 + b317 + b330 =G= 1;

e1193..    b302 + b311 + b317 + b326 + b331 =G= 1;

e1194..    b302 + b311 + b317 + b325 =G= 1;

e1195..    b302 + b311 + b317 + b321 =G= 1;

e1196..    b302 + b311 + b316 + b331 =G= 1;

e1197..    b302 + b311 + b316 + b326 =G= 1;

e1198..    b302 + b311 + b316 + b321 =G= 1;

e1199..    b302 + b311 + b315 + b331 =G= 1;

e1200..    b302 + b311 + b315 + b326 =G= 1;

e1201..    b302 + b311 + b315 + b321 =G= 1;

e1202..    b302 + b310 + b329 =G= 1;

e1203..    b302 + b310 + b326 + b330 =G= 1;

e1204..    b302 + b310 + b325 + b331 =G= 1;

e1205..    b302 + b310 + b324 =G= 1;

e1206..    b302 + b310 + b321 + b331 =G= 1;

e1207..    b302 + b310 + b321 + b326 =G= 1;

e1208..    b302 + b310 + b320 =G= 1;

e1209..    b302 + b310 + b318 + b330 =G= 1;

e1210..    b302 + b310 + b318 + b326 + b331 =G= 1;

e1211..    b302 + b310 + b318 + b325 =G= 1;

e1212..    b302 + b310 + b318 + b321 =G= 1;

e1213..    b302 + b310 + b317 + b331 =G= 1;

e1214..    b302 + b310 + b317 + b326 =G= 1;

e1215..    b302 + b310 + b317 + b321 =G= 1;

e1216..    b302 + b310 + b316 + b331 =G= 1;

e1217..    b302 + b310 + b316 + b326 =G= 1;

e1218..    b302 + b310 + b316 + b321 =G= 1;

e1219..    b302 + b309 + b330 =G= 1;

e1220..    b302 + b309 + b326 + b331 =G= 1;

e1221..    b302 + b309 + b325 =G= 1;

e1222..    b302 + b309 + b321 =G= 1;

e1223..    b302 + b309 + b318 + b331 =G= 1;

e1224..    b302 + b309 + b318 + b326 =G= 1;

e1225..    b302 + b309 + b318 + b321 =G= 1;

e1226..    b302 + b309 + b317 + b331 =G= 1;

e1227..    b302 + b309 + b317 + b326 =G= 1;

e1228..    b302 + b309 + b317 + b321 =G= 1;

e1229..    b302 + b308 + b331 =G= 1;

e1230..    b302 + b308 + b326 =G= 1;

e1231..    b302 + b308 + b321 =G= 1;

e1232..    b302 + b306 + b328 =G= 1;

e1233..    b302 + b306 + b326 + b329 =G= 1;

e1234..    b302 + b306 + b325 + b330 =G= 1;

e1235..    b302 + b306 + b324 + b331 =G= 1;

e1236..    b302 + b306 + b323 =G= 1;

e1237..    b302 + b306 + b321 + b330 =G= 1;

e1238..    b302 + b306 + b321 + b326 + b331 =G= 1;

e1239..    b302 + b306 + b321 + b325 =G= 1;

e1240..    b302 + b306 + b320 =G= 1;

e1241..    b302 + b306 + b318 + b329 =G= 1;

e1242..    b302 + b306 + b318 + b326 + b330 =G= 1;

e1243..    b302 + b306 + b318 + b325 + b331 =G= 1;

e1244..    b302 + b306 + b318 + b324 =G= 1;

e1245..    b302 + b306 + b318 + b321 + b331 =G= 1;

e1246..    b302 + b306 + b318 + b321 + b326 =G= 1;

e1247..    b302 + b306 + b318 + b320 =G= 1;

e1248..    b302 + b306 + b317 + b329 =G= 1;

e1249..    b302 + b306 + b317 + b326 + b330 =G= 1;

e1250..    b302 + b306 + b317 + b325 + b331 =G= 1;

e1251..    b302 + b306 + b317 + b324 =G= 1;

e1252..    b302 + b306 + b317 + b321 + b331 =G= 1;

e1253..    b302 + b306 + b317 + b321 + b326 =G= 1;

e1254..    b302 + b306 + b317 + b320 =G= 1;

e1255..    b302 + b306 + b316 + b330 =G= 1;

e1256..    b302 + b306 + b316 + b326 + b331 =G= 1;

e1257..    b302 + b306 + b316 + b325 =G= 1;

e1258..    b302 + b306 + b316 + b321 =G= 1;

e1259..    b302 + b306 + b315 + b331 =G= 1;

e1260..    b302 + b306 + b315 + b326 =G= 1;

e1261..    b302 + b306 + b315 + b321 =G= 1;

e1262..    b302 + b306 + b312 + b329 =G= 1;

e1263..    b302 + b306 + b312 + b326 + b330 =G= 1;

e1264..    b302 + b306 + b312 + b325 + b331 =G= 1;

e1265..    b302 + b306 + b312 + b324 =G= 1;

e1266..    b302 + b306 + b312 + b321 + b331 =G= 1;

e1267..    b302 + b306 + b312 + b321 + b326 =G= 1;

e1268..    b302 + b306 + b312 + b320 =G= 1;

e1269..    b302 + b306 + b312 + b318 + b330 =G= 1;

e1270..    b302 + b306 + b312 + b318 + b326 + b331 =G= 1;

e1271..    b302 + b306 + b312 + b318 + b325 =G= 1;

e1272..    b302 + b306 + b312 + b318 + b321 =G= 1;

e1273..    b302 + b306 + b312 + b317 + b330 =G= 1;

e1274..    b302 + b306 + b312 + b317 + b326 + b331 =G= 1;

e1275..    b302 + b306 + b312 + b317 + b325 =G= 1;

e1276..    b302 + b306 + b312 + b317 + b321 =G= 1;

e1277..    b302 + b306 + b312 + b316 + b331 =G= 1;

e1278..    b302 + b306 + b312 + b316 + b326 =G= 1;

e1279..    b302 + b306 + b312 + b316 + b321 =G= 1;

e1280..    b302 + b306 + b311 + b329 =G= 1;

e1281..    b302 + b306 + b311 + b326 + b330 =G= 1;

e1282..    b302 + b306 + b311 + b325 + b331 =G= 1;

e1283..    b302 + b306 + b311 + b324 =G= 1;

e1284..    b302 + b306 + b311 + b321 + b331 =G= 1;

e1285..    b302 + b306 + b311 + b321 + b326 =G= 1;

e1286..    b302 + b306 + b311 + b320 =G= 1;

e1287..    b302 + b306 + b311 + b318 + b330 =G= 1;

e1288..    b302 + b306 + b311 + b318 + b326 + b331 =G= 1;

e1289..    b302 + b306 + b311 + b318 + b325 =G= 1;

e1290..    b302 + b306 + b311 + b318 + b321 =G= 1;

e1291..    b302 + b306 + b311 + b317 + b331 =G= 1;

e1292..    b302 + b306 + b311 + b317 + b326 =G= 1;

e1293..    b302 + b306 + b311 + b317 + b321 =G= 1;

e1294..    b302 + b306 + b310 + b330 =G= 1;

e1295..    b302 + b306 + b310 + b326 + b331 =G= 1;

e1296..    b302 + b306 + b310 + b325 =G= 1;

e1297..    b302 + b306 + b310 + b321 =G= 1;

e1298..    b302 + b306 + b310 + b318 + b331 =G= 1;

e1299..    b302 + b306 + b310 + b318 + b326 =G= 1;

e1300..    b302 + b306 + b310 + b318 + b321 =G= 1;

e1301..    b302 + b306 + b309 + b331 =G= 1;

e1302..    b302 + b306 + b309 + b326 =G= 1;

e1303..    b302 + b306 + b309 + b321 =G= 1;

e1304..    b302 + b305 + b329 =G= 1;

e1305..    b302 + b305 + b326 + b330 =G= 1;

e1306..    b302 + b305 + b325 + b331 =G= 1;

e1307..    b302 + b305 + b324 =G= 1;

e1308..    b302 + b305 + b321 + b331 =G= 1;

e1309..    b302 + b305 + b321 + b326 =G= 1;

e1310..    b302 + b305 + b320 =G= 1;

e1311..    b302 + b305 + b318 + b330 =G= 1;

e1312..    b302 + b305 + b318 + b326 + b331 =G= 1;

e1313..    b302 + b305 + b318 + b325 =G= 1;

e1314..    b302 + b305 + b318 + b321 =G= 1;

e1315..    b302 + b305 + b317 + b331 =G= 1;

e1316..    b302 + b305 + b317 + b326 =G= 1;

e1317..    b302 + b305 + b317 + b321 =G= 1;

e1318..    b302 + b305 + b312 + b330 =G= 1;

e1319..    b302 + b305 + b312 + b326 + b331 =G= 1;

e1320..    b302 + b305 + b312 + b325 =G= 1;

e1321..    b302 + b305 + b312 + b321 =G= 1;

e1322..    b302 + b305 + b312 + b318 + b331 =G= 1;

e1323..    b302 + b305 + b312 + b318 + b326 =G= 1;

e1324..    b302 + b305 + b312 + b318 + b321 =G= 1;

e1325..    b302 + b305 + b311 + b331 =G= 1;

e1326..    b302 + b305 + b311 + b326 =G= 1;

e1327..    b302 + b305 + b311 + b321 =G= 1;

e1328..    b302 + b304 + b331 =G= 1;

e1329..    b302 + b304 + b326 =G= 1;

e1330..    b302 + b304 + b321 =G= 1;

e1331..    b301 + b329 =G= 1;

e1332..    b301 + b326 + b330 =G= 1;

e1333..    b301 + b325 + b331 =G= 1;

e1334..    b301 + b324 =G= 1;

e1335..    b301 + b321 + b331 =G= 1;

e1336..    b301 + b321 + b326 =G= 1;

e1337..    b301 + b320 =G= 1;

e1338..    b301 + b318 + b330 =G= 1;

e1339..    b301 + b318 + b326 + b331 =G= 1;

e1340..    b301 + b318 + b325 =G= 1;

e1341..    b301 + b318 + b321 =G= 1;

e1342..    b301 + b317 + b330 =G= 1;

e1343..    b301 + b317 + b326 + b331 =G= 1;

e1344..    b301 + b317 + b325 =G= 1;

e1345..    b301 + b317 + b321 =G= 1;

e1346..    b301 + b316 + b331 =G= 1;

e1347..    b301 + b316 + b326 =G= 1;

e1348..    b301 + b316 + b321 =G= 1;

e1349..    b301 + b312 + b330 =G= 1;

e1350..    b301 + b312 + b326 + b331 =G= 1;

e1351..    b301 + b312 + b325 =G= 1;

e1352..    b301 + b312 + b321 =G= 1;

e1353..    b301 + b312 + b318 + b331 =G= 1;

e1354..    b301 + b312 + b318 + b325 =G= 1;

e1355..    b301 + b312 + b318 + b321 =G= 1;

e1356..    b301 + b312 + b317 + b331 =G= 1;

e1357..    b301 + b312 + b317 + b326 =G= 1;

e1358..    b301 + b312 + b317 + b321 =G= 1;

e1359..    b301 + b311 + b330 =G= 1;

e1360..    b301 + b311 + b326 + b331 =G= 1;

e1361..    b301 + b311 + b325 =G= 1;

e1362..    b301 + b311 + b321 =G= 1;

e1363..    b301 + b311 + b318 + b331 =G= 1;

e1364..    b301 + b311 + b318 + b326 =G= 1;

e1365..    b301 + b311 + b318 + b321 =G= 1;

e1366..    b301 + b310 + b331 =G= 1;

e1367..    b301 + b310 + b326 =G= 1;

e1368..    b301 + b310 + b321 =G= 1;

e1369..    b301 + b306 + b330 =G= 1;

e1370..    b301 + b306 + b326 + b331 =G= 1;

e1371..    b301 + b306 + b325 =G= 1;

e1372..    b301 + b306 + b321 =G= 1;

e1373..    b301 + b306 + b318 + b331 =G= 1;

e1374..    b301 + b306 + b318 + b326 =G= 1;

e1375..    b301 + b306 + b318 + b321 =G= 1;

e1376..    b301 + b306 + b312 + b331 =G= 1;

e1377..    b301 + b306 + b312 + b326 =G= 1;

e1378..    b301 + b306 + b312 + b321 =G= 1;

e1379..    b301 + b305 + b331 =G= 1;

e1380..    b301 + b305 + b326 =G= 1;

e1381..    b301 + b305 + b321 =G= 1;

e1382..    b300 + b331 =G= 1;

e1383..    b300 + b326 =G= 1;

e1384..    b300 + b321 =G= 1;

e1385..    b299 + b327 =G= 1;

e1386..    b299 + b326 + b328 =G= 1;

e1387..    b299 + b325 + b329 =G= 1;

e1388..    b299 + b324 + b330 =G= 1;

e1389..    b299 + b323 + b331 =G= 1;

e1390..    b299 + b322 =G= 1;

e1391..    b299 + b321 + b329 =G= 1;

e1392..    b299 + b321 + b326 + b330 =G= 1;

e1393..    b299 + b321 + b325 + b331 =G= 1;

e1394..    b299 + b321 + b324 =G= 1;

e1395..    b299 + b320 + b331 =G= 1;

e1396..    b299 + b320 + b326 =G= 1;

e1397..    b299 + b319 =G= 1;

e1398..    b299 + b318 + b328 =G= 1;

e1399..    b299 + b318 + b326 + b329 =G= 1;

e1400..    b299 + b318 + b325 + b330 =G= 1;

e1401..    b299 + b318 + b324 + b331 =G= 1;

e1402..    b299 + b318 + b323 =G= 1;

e1403..    b299 + b318 + b321 + b330 =G= 1;

e1404..    b299 + b318 + b321 + b326 + b331 =G= 1;

e1405..    b299 + b318 + b321 + b325 =G= 1;

e1406..    b299 + b318 + b320 =G= 1;

e1407..    b299 + b317 + b328 =G= 1;

e1408..    b299 + b317 + b326 + b329 =G= 1;

e1409..    b299 + b317 + b325 + b330 =G= 1;

e1410..    b299 + b317 + b324 =G= 1;

e1411..    b299 + b317 + b321 + b330 =G= 1;

e1412..    b299 + b317 + b321 + b326 + b331 =G= 1;

e1413..    b299 + b317 + b321 + b325 =G= 1;

e1414..    b299 + b317 + b320 =G= 1;

e1415..    b299 + b316 + b329 =G= 1;

e1416..    b299 + b316 + b326 + b330 =G= 1;

e1417..    b299 + b316 + b325 + b331 =G= 1;

e1418..    b299 + b316 + b324 =G= 1;

e1419..    b299 + b316 + b321 + b331 =G= 1;

e1420..    b299 + b316 + b321 + b326 =G= 1;

e1421..    b299 + b316 + b320 =G= 1;

e1422..    b299 + b315 + b330 =G= 1;

e1423..    b299 + b315 + b326 + b331 =G= 1;

e1424..    b299 + b315 + b325 =G= 1;

e1425..    b299 + b315 + b321 =G= 1;

e1426..    b299 + b314 + b331 =G= 1;

e1427..    b299 + b314 + b326 =G= 1;

e1428..    b299 + b314 + b321 =G= 1;

e1429..    b299 + b312 + b328 =G= 1;

e1430..    b299 + b312 + b326 + b329 =G= 1;

e1431..    b299 + b312 + b325 + b330 =G= 1;

e1432..    b299 + b312 + b324 + b331 =G= 1;

e1433..    b299 + b312 + b323 =G= 1;

e1434..    b299 + b312 + b321 + b330 =G= 1;

e1435..    b299 + b312 + b321 + b326 + b331 =G= 1;

e1436..    b299 + b312 + b321 + b325 =G= 1;

e1437..    b299 + b312 + b320 =G= 1;

e1438..    b299 + b312 + b318 + b329 =G= 1;

e1439..    b299 + b312 + b318 + b325 + b331 =G= 1;

e1440..    b299 + b312 + b318 + b324 =G= 1;

e1441..    b299 + b312 + b318 + b321 + b331 =G= 1;

e1442..    b299 + b312 + b318 + b321 + b325 =G= 1;

e1443..    b299 + b312 + b318 + b320 =G= 1;

e1444..    b299 + b312 + b317 + b329 =G= 1;

e1445..    b299 + b312 + b317 + b326 + b330 =G= 1;

e1446..    b299 + b312 + b317 + b325 + b331 =G= 1;

e1447..    b299 + b312 + b317 + b324 =G= 1;

e1448..    b299 + b312 + b317 + b321 + b331 =G= 1;

e1449..    b299 + b312 + b317 + b321 + b326 =G= 1;

e1450..    b299 + b312 + b317 + b320 =G= 1;

e1451..    b299 + b312 + b316 + b330 =G= 1;

e1452..    b299 + b312 + b316 + b326 + b331 =G= 1;

e1453..    b299 + b312 + b316 + b325 =G= 1;

e1454..    b299 + b312 + b316 + b321 =G= 1;

e1455..    b299 + b312 + b315 + b331 =G= 1;

e1456..    b299 + b312 + b315 + b326 =G= 1;

e1457..    b299 + b312 + b315 + b321 =G= 1;

e1458..    b299 + b311 + b328 =G= 1;

e1459..    b299 + b311 + b326 + b329 =G= 1;

e1460..    b299 + b311 + b325 + b330 =G= 1;

e1461..    b299 + b311 + b324 + b331 =G= 1;

e1462..    b299 + b311 + b323 =G= 1;

e1463..    b299 + b311 + b321 + b330 =G= 1;

e1464..    b299 + b311 + b321 + b326 + b331 =G= 1;

e1465..    b299 + b311 + b321 + b325 =G= 1;

e1466..    b299 + b311 + b320 =G= 1;

e1467..    b299 + b311 + b318 + b329 =G= 1;

e1468..    b299 + b311 + b318 + b326 + b330 =G= 1;

e1469..    b299 + b311 + b318 + b325 + b331 =G= 1;

e1470..    b299 + b311 + b318 + b324 =G= 1;

e1471..    b299 + b311 + b318 + b321 + b331 =G= 1;

e1472..    b299 + b311 + b318 + b321 + b326 =G= 1;

e1473..    b299 + b311 + b318 + b320 =G= 1;

e1474..    b299 + b311 + b317 + b330 =G= 1;

e1475..    b299 + b311 + b317 + b326 + b331 =G= 1;

e1476..    b299 + b311 + b317 + b325 =G= 1;

e1477..    b299 + b311 + b317 + b321 =G= 1;

e1478..    b299 + b311 + b316 + b331 =G= 1;

e1479..    b299 + b311 + b316 + b326 =G= 1;

e1480..    b299 + b311 + b316 + b321 =G= 1;

e1481..    b299 + b310 + b329 =G= 1;

e1482..    b299 + b310 + b326 + b330 =G= 1;

e1483..    b299 + b310 + b325 + b331 =G= 1;

e1484..    b299 + b310 + b324 =G= 1;

e1485..    b299 + b310 + b321 + b331 =G= 1;

e1486..    b299 + b310 + b321 + b326 =G= 1;

e1487..    b299 + b310 + b320 =G= 1;

e1488..    b299 + b310 + b318 + b330 =G= 1;

e1489..    b299 + b310 + b318 + b326 + b331 =G= 1;

e1490..    b299 + b310 + b318 + b325 =G= 1;

e1491..    b299 + b310 + b318 + b321 =G= 1;

e1492..    b299 + b310 + b317 + b331 =G= 1;

e1493..    b299 + b310 + b317 + b326 =G= 1;

e1494..    b299 + b310 + b317 + b321 =G= 1;

e1495..    b299 + b309 + b330 =G= 1;

e1496..    b299 + b309 + b326 + b331 =G= 1;

e1497..    b299 + b309 + b325 =G= 1;

e1498..    b299 + b309 + b321 =G= 1;

e1499..    b299 + b309 + b318 + b331 =G= 1;

e1500..    b299 + b309 + b318 + b326 =G= 1;

e1501..    b299 + b309 + b318 + b321 =G= 1;

e1502..    b299 + b308 + b331 =G= 1;

e1503..    b299 + b308 + b326 =G= 1;

e1504..    b299 + b308 + b321 =G= 1;

e1505..    b299 + b306 + b328 =G= 1;

e1506..    b299 + b306 + b326 + b329 =G= 1;

e1507..    b299 + b306 + b325 + b330 =G= 1;

e1508..    b299 + b306 + b324 + b331 =G= 1;

e1509..    b299 + b306 + b323 =G= 1;

e1510..    b299 + b306 + b321 + b330 =G= 1;

e1511..    b299 + b306 + b321 + b326 + b331 =G= 1;

e1512..    b299 + b306 + b321 + b325 =G= 1;

e1513..    b299 + b306 + b320 =G= 1;

e1514..    b299 + b306 + b318 + b329 =G= 1;

e1515..    b299 + b306 + b318 + b326 + b330 =G= 1;

e1516..    b299 + b306 + b318 + b325 + b331 =G= 1;

e1517..    b299 + b306 + b318 + b324 =G= 1;

e1518..    b299 + b306 + b318 + b321 + b331 =G= 1;

e1519..    b299 + b306 + b318 + b321 + b326 =G= 1;

e1520..    b299 + b306 + b318 + b320 =G= 1;

e1521..    b299 + b306 + b317 + b330 =G= 1;

e1522..    b299 + b306 + b317 + b326 + b331 =G= 1;

e1523..    b299 + b306 + b317 + b325 =G= 1;

e1524..    b299 + b306 + b317 + b321 =G= 1;

e1525..    b299 + b306 + b316 + b330 =G= 1;

e1526..    b299 + b306 + b316 + b326 + b331 =G= 1;

e1527..    b299 + b306 + b316 + b325 =G= 1;

e1528..    b299 + b306 + b316 + b321 =G= 1;

e1529..    b299 + b306 + b315 + b331 =G= 1;

e1530..    b299 + b306 + b315 + b326 =G= 1;

e1531..    b299 + b306 + b315 + b321 =G= 1;

e1532..    b299 + b306 + b312 + b329 =G= 1;

e1533..    b299 + b306 + b312 + b326 + b330 =G= 1;

e1534..    b299 + b306 + b312 + b325 + b331 =G= 1;

e1535..    b299 + b306 + b312 + b324 =G= 1;

e1536..    b299 + b306 + b312 + b321 + b331 =G= 1;

e1537..    b299 + b306 + b312 + b321 + b326 =G= 1;

e1538..    b299 + b306 + b312 + b320 =G= 1;

e1539..    b299 + b306 + b312 + b318 + b330 =G= 1;

e1540..    b299 + b306 + b312 + b318 + b326 + b331 =G= 1;

e1541..    b299 + b306 + b312 + b318 + b325 =G= 1;

e1542..    b299 + b306 + b312 + b318 + b321 =G= 1;

e1543..    b299 + b306 + b312 + b317 + b330 =G= 1;

e1544..    b299 + b306 + b312 + b317 + b326 + b331 =G= 1;

e1545..    b299 + b306 + b312 + b317 + b325 =G= 1;

e1546..    b299 + b306 + b312 + b317 + b321 =G= 1;

e1547..    b299 + b306 + b312 + b316 + b331 =G= 1;

e1548..    b299 + b306 + b312 + b316 + b326 =G= 1;

e1549..    b299 + b306 + b312 + b316 + b321 =G= 1;

e1550..    b299 + b306 + b311 + b330 =G= 1;

e1551..    b299 + b306 + b311 + b325 =G= 1;

e1552..    b299 + b306 + b311 + b321 =G= 1;

e1553..    b299 + b306 + b311 + b318 + b330 =G= 1;

e1554..    b299 + b306 + b311 + b318 + b326 + b331 =G= 1;

e1555..    b299 + b306 + b311 + b318 + b325 =G= 1;

e1556..    b299 + b306 + b311 + b318 + b321 =G= 1;

e1557..    b299 + b306 + b311 + b317 + b331 =G= 1;

e1558..    b299 + b306 + b311 + b317 + b326 =G= 1;

e1559..    b299 + b306 + b311 + b317 + b321 =G= 1;

e1560..    b299 + b306 + b310 + b330 =G= 1;

e1561..    b299 + b306 + b310 + b326 + b331 =G= 1;

e1562..    b299 + b306 + b310 + b325 =G= 1;

e1563..    b299 + b306 + b310 + b321 =G= 1;

e1564..    b299 + b306 + b310 + b318 + b331 =G= 1;

e1565..    b299 + b306 + b310 + b318 + b326 =G= 1;

e1566..    b299 + b306 + b310 + b318 + b321 =G= 1;

e1567..    b299 + b306 + b309 + b331 =G= 1;

e1568..    b299 + b306 + b309 + b326 =G= 1;

e1569..    b299 + b306 + b309 + b321 =G= 1;

e1570..    b299 + b305 + b329 =G= 1;

e1571..    b299 + b305 + b326 + b330 =G= 1;

e1572..    b299 + b305 + b325 + b331 =G= 1;

e1573..    b299 + b305 + b324 =G= 1;

e1574..    b299 + b305 + b321 + b331 =G= 1;

e1575..    b299 + b305 + b321 + b326 =G= 1;

e1576..    b299 + b305 + b320 =G= 1;

e1577..    b299 + b305 + b318 + b330 =G= 1;

e1578..    b299 + b305 + b318 + b326 + b331 =G= 1;

e1579..    b299 + b305 + b318 + b325 =G= 1;

e1580..    b299 + b305 + b318 + b321 =G= 1;

e1581..    b299 + b305 + b317 + b331 =G= 1;

e1582..    b299 + b305 + b317 + b326 =G= 1;

e1583..    b299 + b305 + b317 + b321 =G= 1;

e1584..    b299 + b305 + b312 + b330 =G= 1;

e1585..    b299 + b305 + b312 + b326 + b331 =G= 1;

e1586..    b299 + b305 + b312 + b325 =G= 1;

e1587..    b299 + b305 + b312 + b321 =G= 1;

e1588..    b299 + b305 + b312 + b318 + b331 =G= 1;

e1589..    b299 + b305 + b312 + b318 + b326 =G= 1;

e1590..    b299 + b305 + b312 + b318 + b321 =G= 1;

e1591..    b299 + b305 + b311 + b331 =G= 1;

e1592..    b299 + b305 + b311 + b326 =G= 1;

e1593..    b299 + b305 + b311 + b321 =G= 1;

e1594..    b299 + b304 + b331 =G= 1;

e1595..    b299 + b304 + b326 =G= 1;

e1596..    b299 + b304 + b321 =G= 1;

e1597..    b299 + b302 + b329 =G= 1;

e1598..    b299 + b302 + b326 + b330 =G= 1;

e1599..    b299 + b302 + b325 + b331 =G= 1;

e1600..    b299 + b302 + b324 =G= 1;

e1601..    b299 + b302 + b321 + b331 =G= 1;

e1602..    b299 + b302 + b321 + b326 =G= 1;

e1603..    b299 + b302 + b320 =G= 1;

e1604..    b299 + b302 + b318 + b330 =G= 1;

e1605..    b299 + b302 + b318 + b326 + b331 =G= 1;

e1606..    b299 + b302 + b318 + b325 =G= 1;

e1607..    b299 + b302 + b318 + b321 =G= 1;

e1608..    b299 + b302 + b317 + b330 =G= 1;

e1609..    b299 + b302 + b317 + b326 + b331 =G= 1;

e1610..    b299 + b302 + b317 + b325 =G= 1;

e1611..    b299 + b302 + b317 + b321 =G= 1;

e1612..    b299 + b302 + b316 + b331 =G= 1;

e1613..    b299 + b302 + b316 + b326 =G= 1;

e1614..    b299 + b302 + b316 + b321 =G= 1;

e1615..    b299 + b302 + b312 + b330 =G= 1;

e1616..    b299 + b302 + b312 + b326 + b331 =G= 1;

e1617..    b299 + b302 + b312 + b325 =G= 1;

e1618..    b299 + b302 + b312 + b321 =G= 1;

e1619..    b299 + b302 + b312 + b318 + b330 =G= 1;

e1620..    b299 + b302 + b312 + b318 + b326 + b331 =G= 1;

e1621..    b299 + b302 + b312 + b318 + b325 =G= 1;

e1622..    b299 + b302 + b312 + b318 + b321 =G= 1;

e1623..    b299 + b302 + b312 + b317 + b331 =G= 1;

e1624..    b299 + b302 + b312 + b317 + b326 =G= 1;

e1625..    b299 + b302 + b312 + b317 + b321 =G= 1;

e1626..    b299 + b302 + b311 + b330 =G= 1;

e1627..    b299 + b302 + b311 + b326 + b331 =G= 1;

e1628..    b299 + b302 + b311 + b325 =G= 1;

e1629..    b299 + b302 + b311 + b321 =G= 1;

e1630..    b299 + b302 + b311 + b318 + b331 =G= 1;

e1631..    b299 + b302 + b311 + b318 + b326 =G= 1;

e1632..    b299 + b302 + b311 + b318 + b321 =G= 1;

e1633..    b299 + b302 + b310 + b331 =G= 1;

e1634..    b299 + b302 + b310 + b326 =G= 1;

e1635..    b299 + b302 + b310 + b321 =G= 1;

e1636..    b299 + b302 + b306 + b330 =G= 1;

e1637..    b299 + b302 + b306 + b326 + b331 =G= 1;

e1638..    b299 + b302 + b306 + b325 =G= 1;

e1639..    b299 + b302 + b306 + b321 =G= 1;

e1640..    b299 + b302 + b306 + b318 + b331 =G= 1;

e1641..    b299 + b302 + b306 + b318 + b326 =G= 1;

e1642..    b299 + b302 + b306 + b318 + b321 =G= 1;

e1643..    b299 + b302 + b306 + b317 + b331 =G= 1;

e1644..    b299 + b302 + b306 + b317 + b326 =G= 1;

e1645..    b299 + b302 + b306 + b317 + b321 =G= 1;

e1646..    b299 + b302 + b306 + b312 + b331 =G= 1;

e1647..    b299 + b302 + b306 + b312 + b326 =G= 1;

e1648..    b299 + b302 + b306 + b312 + b321 =G= 1;

e1649..    b299 + b302 + b306 + b311 + b331 =G= 1;

e1650..    b299 + b302 + b306 + b311 + b326 =G= 1;

e1651..    b299 + b302 + b306 + b311 + b321 =G= 1;

e1652..    b299 + b302 + b305 + b331 =G= 1;

e1653..    b299 + b302 + b305 + b326 =G= 1;

e1654..    b299 + b302 + b305 + b321 =G= 1;

e1655..    b299 + b301 + b331 =G= 1;

e1656..    b299 + b301 + b326 =G= 1;

e1657..    b299 + b301 + b321 =G= 1;

e1658..    b298 + b329 =G= 1;

e1659..    b298 + b326 + b330 =G= 1;

e1660..    b298 + b325 + b331 =G= 1;

e1661..    b298 + b324 =G= 1;

e1662..    b298 + b321 + b331 =G= 1;

e1663..    b298 + b321 + b326 =G= 1;

e1664..    b298 + b320 =G= 1;

e1665..    b298 + b318 + b330 =G= 1;

e1666..    b298 + b318 + b326 + b331 =G= 1;

e1667..    b298 + b318 + b325 =G= 1;

e1668..    b298 + b318 + b321 =G= 1;

e1669..    b298 + b317 + b330 =G= 1;

e1670..    b298 + b317 + b326 + b331 =G= 1;

e1671..    b298 + b317 + b325 =G= 1;

e1672..    b298 + b317 + b321 =G= 1;

e1673..    b298 + b316 + b331 =G= 1;

e1674..    b298 + b316 + b326 =G= 1;

e1675..    b298 + b316 + b321 =G= 1;

e1676..    b298 + b312 + b330 =G= 1;

e1677..    b298 + b312 + b325 + b331 =G= 1;

e1678..    b298 + b312 + b324 =G= 1;

e1679..    b298 + b312 + b321 =G= 1;

e1680..    b298 + b312 + b318 + b330 =G= 1;

e1681..    b298 + b312 + b318 + b326 + b331 =G= 1;

e1682..    b298 + b312 + b318 + b325 =G= 1;

e1683..    b298 + b312 + b318 + b321 =G= 1;

e1684..    b298 + b312 + b317 + b331 =G= 1;

e1685..    b298 + b312 + b317 + b326 =G= 1;

e1686..    b298 + b312 + b317 + b321 =G= 1;

e1687..    b298 + b311 + b330 =G= 1;

e1688..    b298 + b311 + b326 + b331 =G= 1;

e1689..    b298 + b311 + b325 =G= 1;

e1690..    b298 + b311 + b321 =G= 1;

e1691..    b298 + b311 + b318 + b331 =G= 1;

e1692..    b298 + b311 + b318 + b326 =G= 1;

e1693..    b298 + b311 + b318 + b321 =G= 1;

e1694..    b298 + b310 + b331 =G= 1;

e1695..    b298 + b310 + b326 =G= 1;

e1696..    b298 + b310 + b321 =G= 1;

e1697..    b298 + b306 + b330 =G= 1;

e1698..    b298 + b306 + b326 + b331 =G= 1;

e1699..    b298 + b306 + b325 =G= 1;

e1700..    b298 + b306 + b321 =G= 1;

e1701..    b298 + b306 + b318 + b331 =G= 1;

e1702..    b298 + b306 + b318 + b326 =G= 1;

e1703..    b298 + b306 + b318 + b321 =G= 1;

e1704..    b298 + b306 + b312 + b331 =G= 1;

e1705..    b298 + b306 + b312 + b326 =G= 1;

e1706..    b298 + b306 + b312 + b321 =G= 1;

e1707..    b298 + b306 + b311 + b331 =G= 1;

e1708..    b298 + b306 + b311 + b326 =G= 1;

e1709..    b298 + b306 + b311 + b321 =G= 1;

e1710..    b298 + b305 + b331 =G= 1;

e1711..    b298 + b305 + b326 =G= 1;

e1712..    b298 + b305 + b321 =G= 1;

e1713..    b298 + b302 + b331 =G= 1;

e1714..    b298 + b302 + b326 =G= 1;

e1715..    b298 + b302 + b321 =G= 1;

e1716..    b298 + b302 + b312 + b331 =G= 1;

e1717..    b298 + b302 + b312 + b326 =G= 1;

e1718..    b298 + b302 + b312 + b321 =G= 1;

e1719..    b297 + b331 =G= 1;

e1720..    b297 + b326 =G= 1;

e1721..    b297 + b321 =G= 1;

e1722..    b296 + b327 =G= 1;

e1723..    b296 + b326 + b328 =G= 1;

e1724..    b296 + b325 + b329 =G= 1;

e1725..    b296 + b324 + b330 =G= 1;

e1726..    b296 + b323 + b331 =G= 1;

e1727..    b296 + b322 =G= 1;

e1728..    b296 + b321 + b329 =G= 1;

e1729..    b296 + b321 + b326 + b330 =G= 1;

e1730..    b296 + b321 + b324 =G= 1;

e1731..    b296 + b320 + b331 =G= 1;

e1732..    b296 + b320 + b326 =G= 1;

e1733..    b296 + b319 =G= 1;

e1734..    b296 + b318 + b328 =G= 1;

e1735..    b296 + b318 + b325 + b329 =G= 1;

e1736..    b296 + b318 + b324 + b331 =G= 1;

e1737..    b296 + b318 + b323 =G= 1;

e1738..    b296 + b318 + b321 + b329 =G= 1;

e1739..    b296 + b318 + b321 + b326 + b330 =G= 1;

e1740..    b296 + b318 + b321 + b325 + b331 =G= 1;

e1741..    b296 + b318 + b321 + b324 =G= 1;

e1742..    b296 + b318 + b320 =G= 1;

e1743..    b296 + b317 + b328 =G= 1;

e1744..    b296 + b317 + b326 + b329 =G= 1;

e1745..    b296 + b317 + b325 + b330 =G= 1;

e1746..    b296 + b317 + b324 + b331 =G= 1;

e1747..    b296 + b317 + b323 =G= 1;

e1748..    b296 + b317 + b321 + b330 =G= 1;

e1749..    b296 + b317 + b321 + b326 + b331 =G= 1;

e1750..    b296 + b317 + b321 + b325 =G= 1;

e1751..    b296 + b317 + b320 =G= 1;

e1752..    b296 + b316 + b329 =G= 1;

e1753..    b296 + b316 + b326 + b330 =G= 1;

e1754..    b296 + b316 + b325 + b331 =G= 1;

e1755..    b296 + b316 + b324 =G= 1;

e1756..    b296 + b316 + b321 + b331 =G= 1;

e1757..    b296 + b316 + b321 + b326 =G= 1;

e1758..    b296 + b316 + b320 =G= 1;

e1759..    b296 + b315 + b330 =G= 1;

e1760..    b296 + b315 + b326 + b331 =G= 1;

e1761..    b296 + b315 + b325 =G= 1;

e1762..    b296 + b315 + b321 =G= 1;

e1763..    b296 + b314 + b331 =G= 1;

e1764..    b296 + b314 + b326 =G= 1;

e1765..    b296 + b314 + b321 =G= 1;

e1766..    b296 + b312 + b328 =G= 1;

e1767..    b296 + b312 + b325 + b329 =G= 1;

e1768..    b296 + b312 + b324 + b330 =G= 1;

e1769..    b296 + b312 + b323 =G= 1;

e1770..    b296 + b312 + b321 + b329 =G= 1;

e1771..    b296 + b312 + b321 + b326 + b330 =G= 1;

e1772..    b296 + b312 + b321 + b325 + b331 =G= 1;

e1773..    b296 + b312 + b321 + b324 =G= 1;

e1774..    b296 + b312 + b320 =G= 1;

e1775..    b296 + b312 + b318 + b328 =G= 1;

e1776..    b296 + b312 + b318 + b326 + b329 =G= 1;

e1777..    b296 + b312 + b318 + b325 + b330 =G= 1;

e1778..    b296 + b312 + b318 + b324 + b331 =G= 1;

e1779..    b296 + b312 + b318 + b323 =G= 1;

e1780..    b296 + b312 + b318 + b321 + b330 =G= 1;

e1781..    b296 + b312 + b318 + b321 + b326 + b331 =G= 1;

e1782..    b296 + b312 + b318 + b321 + b325 =G= 1;

e1783..    b296 + b312 + b318 + b320 =G= 1;

e1784..    b296 + b312 + b317 + b329 =G= 1;

e1785..    b296 + b312 + b317 + b326 + b330 =G= 1;

e1786..    b296 + b312 + b317 + b325 + b331 =G= 1;

e1787..    b296 + b312 + b317 + b324 =G= 1;

e1788..    b296 + b312 + b317 + b321 + b331 =G= 1;

e1789..    b296 + b312 + b317 + b321 + b326 =G= 1;

e1790..    b296 + b312 + b317 + b320 =G= 1;

e1791..    b296 + b312 + b316 + b330 =G= 1;

e1792..    b296 + b312 + b316 + b326 + b331 =G= 1;

e1793..    b296 + b312 + b316 + b325 =G= 1;

e1794..    b296 + b312 + b316 + b321 =G= 1;

e1795..    b296 + b312 + b315 + b331 =G= 1;

e1796..    b296 + b312 + b315 + b326 =G= 1;

e1797..    b296 + b312 + b315 + b321 =G= 1;

e1798..    b296 + b312 + b314 + b331 =G= 1;

e1799..    b296 + b312 + b314 + b326 =G= 1;

e1800..    b296 + b312 + b314 + b321 =G= 1;

e1801..    b296 + b311 + b328 =G= 1;

e1802..    b296 + b311 + b326 + b329 =G= 1;

e1803..    b296 + b311 + b325 + b330 =G= 1;

e1804..    b296 + b311 + b324 + b331 =G= 1;

e1805..    b296 + b311 + b323 =G= 1;

e1806..    b296 + b311 + b321 + b330 =G= 1;

e1807..    b296 + b311 + b321 + b326 + b331 =G= 1;

e1808..    b296 + b311 + b321 + b325 =G= 1;

e1809..    b296 + b311 + b320 =G= 1;

e1810..    b296 + b311 + b318 + b329 =G= 1;

e1811..    b296 + b311 + b318 + b326 + b330 =G= 1;

e1812..    b296 + b311 + b318 + b325 + b331 =G= 1;

e1813..    b296 + b311 + b318 + b324 =G= 1;

e1814..    b296 + b311 + b318 + b321 + b331 =G= 1;

e1815..    b296 + b311 + b318 + b321 + b326 =G= 1;

e1816..    b296 + b311 + b318 + b320 =G= 1;

e1817..    b296 + b311 + b317 + b330 =G= 1;

e1818..    b296 + b311 + b317 + b326 + b331 =G= 1;

e1819..    b296 + b311 + b317 + b325 =G= 1;

e1820..    b296 + b311 + b317 + b321 =G= 1;

e1821..    b296 + b311 + b316 + b331 =G= 1;

e1822..    b296 + b311 + b316 + b326 =G= 1;

e1823..    b296 + b311 + b316 + b321 =G= 1;

e1824..    b296 + b311 + b315 + b331 =G= 1;

e1825..    b296 + b311 + b315 + b326 =G= 1;

e1826..    b296 + b311 + b315 + b321 =G= 1;

e1827..    b296 + b310 + b329 =G= 1;

e1828..    b296 + b310 + b326 + b330 =G= 1;

e1829..    b296 + b310 + b325 + b331 =G= 1;

e1830..    b296 + b310 + b324 =G= 1;

e1831..    b296 + b310 + b321 + b331 =G= 1;

e1832..    b296 + b310 + b321 + b326 =G= 1;

e1833..    b296 + b310 + b320 =G= 1;

e1834..    b296 + b310 + b318 + b330 =G= 1;

e1835..    b296 + b310 + b318 + b326 + b331 =G= 1;

e1836..    b296 + b310 + b318 + b325 =G= 1;

e1837..    b296 + b310 + b318 + b321 =G= 1;

e1838..    b296 + b310 + b317 + b331 =G= 1;

e1839..    b296 + b310 + b317 + b326 =G= 1;

e1840..    b296 + b310 + b317 + b321 =G= 1;

e1841..    b296 + b310 + b316 + b331 =G= 1;

e1842..    b296 + b310 + b316 + b326 =G= 1;

e1843..    b296 + b310 + b316 + b321 =G= 1;

e1844..    b296 + b309 + b330 =G= 1;

e1845..    b296 + b309 + b326 + b331 =G= 1;

e1846..    b296 + b309 + b325 =G= 1;

e1847..    b296 + b309 + b321 =G= 1;

e1848..    b296 + b309 + b318 + b331 =G= 1;

e1849..    b296 + b309 + b318 + b326 =G= 1;

e1850..    b296 + b309 + b318 + b321 =G= 1;

e1851..    b296 + b309 + b317 + b331 =G= 1;

e1852..    b296 + b309 + b317 + b326 =G= 1;

e1853..    b296 + b309 + b317 + b321 =G= 1;

e1854..    b296 + b308 + b331 =G= 1;

e1855..    b296 + b308 + b326 =G= 1;

e1856..    b296 + b308 + b321 =G= 1;

e1857..    b296 + b306 + b328 =G= 1;

e1858..    b296 + b306 + b326 + b329 =G= 1;

e1859..    b296 + b306 + b325 + b330 =G= 1;

e1860..    b296 + b306 + b324 + b331 =G= 1;

e1861..    b296 + b306 + b323 =G= 1;

e1862..    b296 + b306 + b321 + b330 =G= 1;

e1863..    b296 + b306 + b321 + b326 + b331 =G= 1;

e1864..    b296 + b306 + b321 + b325 =G= 1;

e1865..    b296 + b306 + b320 =G= 1;

e1866..    b296 + b306 + b318 + b329 =G= 1;

e1867..    b296 + b306 + b318 + b326 + b330 =G= 1;

e1868..    b296 + b306 + b318 + b325 + b331 =G= 1;

e1869..    b296 + b306 + b318 + b324 =G= 1;

e1870..    b296 + b306 + b318 + b321 + b331 =G= 1;

e1871..    b296 + b306 + b318 + b321 + b326 =G= 1;

e1872..    b296 + b306 + b318 + b320 =G= 1;

e1873..    b296 + b306 + b317 + b329 =G= 1;

e1874..    b296 + b306 + b317 + b326 + b330 =G= 1;

e1875..    b296 + b306 + b317 + b325 + b331 =G= 1;

e1876..    b296 + b306 + b317 + b324 =G= 1;

e1877..    b296 + b306 + b317 + b321 + b331 =G= 1;

e1878..    b296 + b306 + b317 + b321 + b326 =G= 1;

e1879..    b296 + b306 + b317 + b320 =G= 1;

e1880..    b296 + b306 + b316 + b330 =G= 1;

e1881..    b296 + b306 + b316 + b326 + b331 =G= 1;

e1882..    b296 + b306 + b316 + b325 =G= 1;

e1883..    b296 + b306 + b316 + b321 =G= 1;

e1884..    b296 + b306 + b315 + b331 =G= 1;

e1885..    b296 + b306 + b315 + b326 =G= 1;

e1886..    b296 + b306 + b315 + b321 =G= 1;

e1887..    b296 + b306 + b312 + b329 =G= 1;

e1888..    b296 + b306 + b312 + b326 + b330 =G= 1;

e1889..    b296 + b306 + b312 + b325 + b331 =G= 1;

e1890..    b296 + b306 + b312 + b324 =G= 1;

e1891..    b296 + b306 + b312 + b321 + b331 =G= 1;

e1892..    b296 + b306 + b312 + b321 + b326 =G= 1;

e1893..    b296 + b306 + b312 + b320 =G= 1;

e1894..    b296 + b306 + b312 + b318 + b329 =G= 1;

e1895..    b296 + b306 + b312 + b318 + b326 + b330 =G= 1;

e1896..    b296 + b306 + b312 + b318 + b325 =G= 1;

e1897..    b296 + b306 + b312 + b318 + b321 =G= 1;

e1898..    b296 + b306 + b312 + b317 + b330 =G= 1;

e1899..    b296 + b306 + b312 + b317 + b326 + b331 =G= 1;

e1900..    b296 + b306 + b312 + b317 + b325 =G= 1;

e1901..    b296 + b306 + b312 + b317 + b321 =G= 1;

e1902..    b296 + b306 + b312 + b316 + b331 =G= 1;

e1903..    b296 + b306 + b312 + b316 + b326 =G= 1;

e1904..    b296 + b306 + b312 + b316 + b321 =G= 1;

e1905..    b296 + b306 + b311 + b329 =G= 1;

e1906..    b296 + b306 + b311 + b326 + b330 =G= 1;

e1907..    b296 + b306 + b311 + b325 + b331 =G= 1;

e1908..    b296 + b306 + b311 + b324 =G= 1;

e1909..    b296 + b306 + b311 + b321 + b331 =G= 1;

e1910..    b296 + b306 + b311 + b321 + b326 =G= 1;

e1911..    b296 + b306 + b311 + b320 =G= 1;

e1912..    b296 + b306 + b311 + b318 + b330 =G= 1;

e1913..    b296 + b306 + b311 + b318 + b326 + b331 =G= 1;

e1914..    b296 + b306 + b311 + b318 + b325 =G= 1;

e1915..    b296 + b306 + b311 + b318 + b321 =G= 1;

e1916..    b296 + b306 + b311 + b317 + b331 =G= 1;

e1917..    b296 + b306 + b311 + b317 + b326 =G= 1;

e1918..    b296 + b306 + b311 + b317 + b321 =G= 1;

e1919..    b296 + b306 + b310 + b330 =G= 1;

e1920..    b296 + b306 + b310 + b326 + b331 =G= 1;

e1921..    b296 + b306 + b310 + b325 =G= 1;

e1922..    b296 + b306 + b310 + b321 =G= 1;

e1923..    b296 + b306 + b310 + b318 + b331 =G= 1;

e1924..    b296 + b306 + b310 + b318 + b326 =G= 1;

e1925..    b296 + b306 + b310 + b318 + b321 =G= 1;

e1926..    b296 + b306 + b309 + b331 =G= 1;

e1927..    b296 + b306 + b309 + b326 =G= 1;

e1928..    b296 + b306 + b309 + b321 =G= 1;

e1929..    b296 + b305 + b329 =G= 1;

e1930..    b296 + b305 + b326 + b330 =G= 1;

e1931..    b296 + b305 + b325 + b331 =G= 1;

e1932..    b296 + b305 + b324 =G= 1;

e1933..    b296 + b305 + b321 + b331 =G= 1;

e1934..    b296 + b305 + b321 + b326 =G= 1;

e1935..    b296 + b305 + b320 =G= 1;

e1936..    b296 + b305 + b318 + b330 =G= 1;

e1937..    b296 + b305 + b318 + b326 + b331 =G= 1;

e1938..    b296 + b305 + b318 + b325 =G= 1;

e1939..    b296 + b305 + b318 + b321 =G= 1;

e1940..    b296 + b305 + b317 + b331 =G= 1;

e1941..    b296 + b305 + b317 + b326 =G= 1;

e1942..    b296 + b305 + b317 + b321 =G= 1;

e1943..    b296 + b305 + b312 + b330 =G= 1;

e1944..    b296 + b305 + b312 + b326 + b331 =G= 1;

e1945..    b296 + b305 + b312 + b325 =G= 1;

e1946..    b296 + b305 + b312 + b321 =G= 1;

e1947..    b296 + b305 + b312 + b318 + b331 =G= 1;

e1948..    b296 + b305 + b312 + b318 + b326 =G= 1;

e1949..    b296 + b305 + b312 + b318 + b321 =G= 1;

e1950..    b296 + b305 + b311 + b331 =G= 1;

e1951..    b296 + b305 + b311 + b326 =G= 1;

e1952..    b296 + b305 + b311 + b321 =G= 1;

e1953..    b296 + b304 + b331 =G= 1;

e1954..    b296 + b304 + b326 =G= 1;

e1955..    b296 + b304 + b321 =G= 1;

e1956..    b296 + b304 + b312 + b331 =G= 1;

e1957..    b296 + b304 + b312 + b326 =G= 1;

e1958..    b296 + b304 + b312 + b321 =G= 1;

e1959..    b296 + b302 + b329 =G= 1;

e1960..    b296 + b302 + b325 + b330 =G= 1;

e1961..    b296 + b302 + b324 =G= 1;

e1962..    b296 + b302 + b321 + b330 =G= 1;

e1963..    b296 + b302 + b321 + b326 + b331 =G= 1;

e1964..    b296 + b302 + b321 + b325 =G= 1;

e1965..    b296 + b302 + b320 =G= 1;

e1966..    b296 + b302 + b318 + b329 =G= 1;

e1967..    b296 + b302 + b318 + b326 + b330 =G= 1;

e1968..    b296 + b302 + b318 + b325 + b331 =G= 1;

e1969..    b296 + b302 + b318 + b324 =G= 1;

e1970..    b296 + b302 + b318 + b321 + b331 =G= 1;

e1971..    b296 + b302 + b318 + b321 + b326 =G= 1;

e1972..    b296 + b302 + b318 + b320 =G= 1;

e1973..    b296 + b302 + b317 + b330 =G= 1;

e1974..    b296 + b302 + b317 + b326 + b331 =G= 1;

e1975..    b296 + b302 + b317 + b325 =G= 1;

e1976..    b296 + b302 + b317 + b321 =G= 1;

e1977..    b296 + b302 + b316 + b331 =G= 1;

e1978..    b296 + b302 + b316 + b326 =G= 1;

e1979..    b296 + b302 + b316 + b321 =G= 1;

e1980..    b296 + b302 + b312 + b329 =G= 1;

e1981..    b296 + b302 + b312 + b326 + b330 =G= 1;

e1982..    b296 + b302 + b312 + b325 + b331 =G= 1;

e1983..    b296 + b302 + b312 + b324 =G= 1;

e1984..    b296 + b302 + b312 + b321 + b331 =G= 1;

e1985..    b296 + b302 + b312 + b321 + b326 =G= 1;

e1986..    b296 + b302 + b312 + b320 =G= 1;

e1987..    b296 + b302 + b312 + b318 + b330 =G= 1;

e1988..    b296 + b302 + b312 + b318 + b326 + b331 =G= 1;

e1989..    b296 + b302 + b312 + b318 + b325 =G= 1;

e1990..    b296 + b302 + b312 + b318 + b321 =G= 1;

e1991..    b296 + b302 + b312 + b317 + b331 =G= 1;

e1992..    b296 + b302 + b312 + b317 + b326 =G= 1;

e1993..    b296 + b302 + b312 + b317 + b321 =G= 1;

e1994..    b296 + b302 + b311 + b330 =G= 1;

e1995..    b296 + b302 + b311 + b326 + b331 =G= 1;

e1996..    b296 + b302 + b311 + b325 =G= 1;

e1997..    b296 + b302 + b311 + b321 =G= 1;

e1998..    b296 + b302 + b311 + b318 + b331 =G= 1;

e1999..    b296 + b302 + b311 + b318 + b326 =G= 1;

e2000..    b296 + b302 + b311 + b318 + b321 =G= 1;

e2001..    b296 + b302 + b310 + b331 =G= 1;

e2002..    b296 + b302 + b310 + b326 =G= 1;

e2003..    b296 + b302 + b310 + b321 =G= 1;

e2004..    b296 + b302 + b306 + b330 =G= 1;

e2005..    b296 + b302 + b306 + b326 + b331 =G= 1;

e2006..    b296 + b302 + b306 + b325 =G= 1;

e2007..    b296 + b302 + b306 + b321 =G= 1;

e2008..    b296 + b302 + b306 + b318 + b331 =G= 1;

e2009..    b296 + b302 + b306 + b318 + b326 =G= 1;

e2010..    b296 + b302 + b306 + b318 + b321 =G= 1;

e2011..    b296 + b302 + b306 + b317 + b331 =G= 1;

e2012..    b296 + b302 + b306 + b317 + b326 =G= 1;

e2013..    b296 + b302 + b306 + b317 + b321 =G= 1;

e2014..    b296 + b302 + b306 + b312 + b331 =G= 1;

e2015..    b296 + b302 + b306 + b312 + b326 =G= 1;

e2016..    b296 + b302 + b306 + b312 + b321 =G= 1;

e2017..    b296 + b302 + b306 + b312 + b318 + b331 =G= 1;

e2018..    b296 + b302 + b306 + b312 + b318 + b326 =G= 1;

e2019..    b296 + b302 + b306 + b312 + b318 + b321 =G= 1;

e2020..    b296 + b302 + b306 + b311 + b331 =G= 1;

e2021..    b296 + b302 + b306 + b311 + b326 =G= 1;

e2022..    b296 + b302 + b306 + b311 + b321 =G= 1;

e2023..    b296 + b302 + b305 + b331 =G= 1;

e2024..    b296 + b302 + b305 + b326 =G= 1;

e2025..    b296 + b302 + b305 + b321 =G= 1;

e2026..    b296 + b301 + b331 =G= 1;

e2027..    b296 + b301 + b326 =G= 1;

e2028..    b296 + b301 + b321 =G= 1;

e2029..    b296 + b299 + b329 =G= 1;

e2030..    b296 + b299 + b326 + b330 =G= 1;

e2031..    b296 + b299 + b325 + b331 =G= 1;

e2032..    b296 + b299 + b324 =G= 1;

e2033..    b296 + b299 + b321 + b331 =G= 1;

e2034..    b296 + b299 + b321 + b326 =G= 1;

e2035..    b296 + b299 + b320 =G= 1;

e2036..    b296 + b299 + b318 + b330 =G= 1;

e2037..    b296 + b299 + b318 + b326 + b331 =G= 1;

e2038..    b296 + b299 + b318 + b325 =G= 1;

e2039..    b296 + b299 + b318 + b321 =G= 1;

e2040..    b296 + b299 + b317 + b330 =G= 1;

e2041..    b296 + b299 + b317 + b326 + b331 =G= 1;

e2042..    b296 + b299 + b317 + b325 =G= 1;

e2043..    b296 + b299 + b317 + b321 =G= 1;

e2044..    b296 + b299 + b316 + b331 =G= 1;

e2045..    b296 + b299 + b316 + b326 =G= 1;

e2046..    b296 + b299 + b316 + b321 =G= 1;

e2047..    b296 + b299 + b312 + b330 =G= 1;

e2048..    b296 + b299 + b312 + b326 + b331 =G= 1;

e2049..    b296 + b299 + b312 + b325 =G= 1;

e2050..    b296 + b299 + b312 + b321 =G= 1;

e2051..    b296 + b299 + b312 + b318 + b330 =G= 1;

e2052..    b296 + b299 + b312 + b318 + b326 + b331 =G= 1;

e2053..    b296 + b299 + b312 + b318 + b325 =G= 1;

e2054..    b296 + b299 + b312 + b318 + b321 =G= 1;

e2055..    b296 + b299 + b312 + b317 + b331 =G= 1;

e2056..    b296 + b299 + b312 + b317 + b326 =G= 1;

e2057..    b296 + b299 + b312 + b317 + b321 =G= 1;

e2058..    b296 + b299 + b311 + b330 =G= 1;

e2059..    b296 + b299 + b311 + b326 + b331 =G= 1;

e2060..    b296 + b299 + b311 + b325 =G= 1;

e2061..    b296 + b299 + b311 + b321 =G= 1;

e2062..    b296 + b299 + b311 + b318 + b331 =G= 1;

e2063..    b296 + b299 + b311 + b318 + b326 =G= 1;

e2064..    b296 + b299 + b311 + b318 + b321 =G= 1;

e2065..    b296 + b299 + b310 + b331 =G= 1;

e2066..    b296 + b299 + b310 + b326 =G= 1;

e2067..    b296 + b299 + b310 + b321 =G= 1;

e2068..    b296 + b299 + b306 + b330 =G= 1;

e2069..    b296 + b299 + b306 + b326 + b331 =G= 1;

e2070..    b296 + b299 + b306 + b325 =G= 1;

e2071..    b296 + b299 + b306 + b321 =G= 1;

e2072..    b296 + b299 + b306 + b318 + b331 =G= 1;

e2073..    b296 + b299 + b306 + b318 + b326 =G= 1;

e2074..    b296 + b299 + b306 + b318 + b321 =G= 1;

e2075..    b296 + b299 + b306 + b317 + b331 =G= 1;

e2076..    b296 + b299 + b306 + b317 + b326 =G= 1;

e2077..    b296 + b299 + b306 + b317 + b321 =G= 1;

e2078..    b296 + b299 + b306 + b312 + b331 =G= 1;

e2079..    b296 + b299 + b306 + b312 + b326 =G= 1;

e2080..    b296 + b299 + b306 + b312 + b321 =G= 1;

e2081..    b296 + b299 + b305 + b331 =G= 1;

e2082..    b296 + b299 + b305 + b326 =G= 1;

e2083..    b296 + b299 + b305 + b321 =G= 1;

e2084..    b296 + b299 + b302 + b331 =G= 1;

e2085..    b296 + b299 + b302 + b326 =G= 1;

e2086..    b296 + b299 + b302 + b321 =G= 1;

e2087..    b296 + b299 + b302 + b318 + b331 =G= 1;

e2088..    b296 + b299 + b302 + b318 + b326 =G= 1;

e2089..    b296 + b299 + b302 + b318 + b321 =G= 1;

e2090..    b296 + b299 + b302 + b312 + b331 =G= 1;

e2091..    b296 + b299 + b302 + b312 + b326 =G= 1;

e2092..    b296 + b299 + b302 + b312 + b321 =G= 1;

e2093..    b296 + b298 + b331 =G= 1;

e2094..    b296 + b298 + b326 =G= 1;

e2095..    b296 + b298 + b321 =G= 1;

e2096..    b295 + b329 =G= 1;

e2097..    b295 + b326 + b330 =G= 1;

e2098..    b295 + b325 + b331 =G= 1;

e2099..    b295 + b324 =G= 1;

e2100..    b295 + b321 + b331 =G= 1;

e2101..    b295 + b321 + b326 =G= 1;

e2102..    b295 + b320 =G= 1;

e2103..    b295 + b318 + b330 =G= 1;

e2104..    b295 + b318 + b326 + b331 =G= 1;

e2105..    b295 + b318 + b325 =G= 1;

e2106..    b295 + b318 + b321 =G= 1;

e2107..    b295 + b317 + b330 =G= 1;

e2108..    b295 + b317 + b326 + b331 =G= 1;

e2109..    b295 + b317 + b325 =G= 1;

e2110..    b295 + b317 + b321 =G= 1;

e2111..    b295 + b316 + b331 =G= 1;

e2112..    b295 + b316 + b326 =G= 1;

e2113..    b295 + b316 + b321 =G= 1;

e2114..    b295 + b312 + b330 =G= 1;

e2115..    b295 + b312 + b325 =G= 1;

e2116..    b295 + b312 + b321 =G= 1;

e2117..    b295 + b312 + b318 + b330 =G= 1;

e2118..    b295 + b312 + b318 + b326 + b331 =G= 1;

e2119..    b295 + b312 + b318 + b325 =G= 1;

e2120..    b295 + b312 + b318 + b321 =G= 1;

e2121..    b295 + b312 + b317 + b331 =G= 1;

e2122..    b295 + b312 + b317 + b326 =G= 1;

e2123..    b295 + b312 + b317 + b321 =G= 1;

e2124..    b295 + b311 + b330 =G= 1;

e2125..    b295 + b311 + b326 + b331 =G= 1;

e2126..    b295 + b311 + b325 =G= 1;

e2127..    b295 + b311 + b321 =G= 1;

e2128..    b295 + b311 + b318 + b331 =G= 1;

e2129..    b295 + b311 + b318 + b326 =G= 1;

e2130..    b295 + b311 + b318 + b321 =G= 1;

e2131..    b295 + b310 + b331 =G= 1;

e2132..    b295 + b310 + b326 =G= 1;

e2133..    b295 + b310 + b321 =G= 1;

e2134..    b295 + b306 + b330 =G= 1;

e2135..    b295 + b306 + b326 + b331 =G= 1;

e2136..    b295 + b306 + b325 =G= 1;

e2137..    b295 + b306 + b321 =G= 1;

e2138..    b295 + b306 + b318 + b331 =G= 1;

e2139..    b295 + b306 + b318 + b326 =G= 1;

e2140..    b295 + b306 + b318 + b321 =G= 1;

e2141..    b295 + b306 + b312 + b331 =G= 1;

e2142..    b295 + b306 + b312 + b326 =G= 1;

e2143..    b295 + b306 + b312 + b321 =G= 1;

e2144..    b295 + b305 + b331 =G= 1;

e2145..    b295 + b305 + b326 =G= 1;

e2146..    b295 + b305 + b321 =G= 1;

e2147..    b295 + b302 + b331 =G= 1;

e2148..    b295 + b302 + b326 =G= 1;

e2149..    b295 + b302 + b321 =G= 1;

e2150..    b295 + b299 + b331 =G= 1;

e2151..    b295 + b299 + b326 =G= 1;

e2152..    b295 + b299 + b321 =G= 1;

e2153..    b294 + b331 =G= 1;

e2154..    b294 + b326 =G= 1;

e2155..    b294 + b321 =G= 1;

e2156..    b294 - b295 =G= 0;

e2157..    b295 - b296 =G= 0;

e2158..    b297 - b298 =G= 0;

e2159..    b298 - b299 =G= 0;

e2160..    b300 - b301 =G= 0;

e2161..    b301 - b302 =G= 0;

e2162..    b303 - b304 =G= 0;

e2163..    b304 - b305 =G= 0;

e2164..    b305 - b306 =G= 0;

e2165..    b307 - b308 =G= 0;

e2166..    b308 - b309 =G= 0;

e2167..    b309 - b310 =G= 0;

e2168..    b310 - b311 =G= 0;

e2169..    b311 - b312 =G= 0;

e2170..    b313 - b314 =G= 0;

e2171..    b314 - b315 =G= 0;

e2172..    b315 - b316 =G= 0;

e2173..    b316 - b317 =G= 0;

e2174..    b317 - b318 =G= 0;

e2175..    b319 - b320 =G= 0;

e2176..    b320 - b321 =G= 0;

e2177..    b322 - b323 =G= 0;

e2178..    b323 - b324 =G= 0;

e2179..    b324 - b325 =G= 0;

e2180..    b325 - b326 =G= 0;

e2181..    b327 - b328 =G= 0;

e2182..    b328 - b329 =G= 0;

e2183..    b329 - b330 =G= 0;

e2184..    b330 - b331 =G= 0;

e2185..    b332 - b333 =G= 0;

e2186..    b333 - b334 =G= 0;

e2187..    b334 - b335 =G= 0;

e2188..    b335 - b336 =G= 0;

e2189..    b336 - b337 =G= 0;

e2190..    b338 - b339 =G= 0;

e2191..    b339 - b340 =G= 0;

e2192..    b340 - b341 =G= 0;

e2193..    b341 - b342 =G= 0;

e2194..    b343 - b344 =G= 0;

e2195..    b344 - b345 =G= 0;

e2196..    b346 - b347 =G= 0;

e2197..    b347 - b348 =G= 0;

e2198..    b349 - b350 =G= 0;

e2199..    b350 - b351 =G= 0;

e2200..    b352 - b353 =G= 0;

e2201..    b353 - b354 =G= 0;

e2202..    b354 - b355 =G= 0;

e2203..    x155 - x156 =G= 0;

e2204..    x156 - x157 =G= 0;

e2205..    x157 - x158 =G= 0;

e2206..    x121 - 0.1*b294 - 0.573333333333333*b295 - 0.1*b296
         =E= 1.24666666666667;

e2207..    x122 - 0.193333333333333*b297 - 1.14666666666667*b298
         - 0.193333333333333*b299 =E= 2.48;

e2208..    x123 - 0.226666666666667*b300 - 1.36*b301 - 0.226666666666667*b302
         =E= 2.94666666666667;

e2209..    x124 - 0.28*b303 - 1.42*b304 - 0.286666666666667*b305 - 0.28*b306
         =E= 3.69333333333333;

e2210..    x125 - 1.91333333333333*b307 - 7.65333333333333*b308
         - 1.91333333333333*b309 - 1.91333333333333*b310
         - 1.91333333333333*b311 - 1.91333333333333*b312 =E= 24.8733333333333;

e2211..    x126 - 4.51333333333333*b313 - 18.0533333333333*b314
         - 4.51333333333333*b315 - 4.50666666666667*b316
         - 4.51333333333333*b317 - 4.51333333333333*b318 =E= 58.6666666666667;

e2212..    x127 - 0.313333333333333*b319 - 1.88666666666667*b320
         - 0.313333333333333*b321 =E= 4.08;

e2213..    x128 - 2.81333333333333*b322 - 14.06*b323 - 2.80666666666667*b324
         - 2.81333333333333*b325 - 2.81333333333333*b326 =E= 36.56;

e2214..    x129 - 2.56*b327 - 12.7933333333333*b328 - 2.56*b329 - 2.56*b330
         - 2.55333333333333*b331 =E= 33.26;

e2215..    x130 - 1.88666666666667*b332 - 7.54666666666667*b333
         - 1.88666666666667*b334 - 1.88666666666667*b335
         - 1.88666666666667*b336 - 1.88666666666667*b337 =E= 24.52;

e2216..    x131 - 2.84*b338 - 14.2*b339 - 2.84*b340 - 2.84*b341
         - 2.84666666666667*b342 =E= 36.9266666666667;

e2217..    x132 - 3.85333333333333*b343 - 23.1133333333333*b344
         - 3.85333333333333*b345 =E= 50.0866666666667;

e2218..    x133 - 1.24666666666667*b346 - 7.47333333333333*b347 - 1.24*b348
         =E= 16.1866666666667;

e2219..    x134 - 1.81333333333333*b349 - 10.8533333333333*b350
         - 1.81333333333333*b351 =E= 23.52;

e2220..    x135 - 2.96666666666667*b352 - 14.82*b353 - 2.96*b354
         - 2.96666666666667*b355 =E= 38.5266666666667;

e2221..  - x136 + x279 =L= 0;

e2222..  - x137 + x280 =L= 0;

e2223..  - x138 + x281 =L= 0;

e2224..  - x139 + x282 =L= 0;

e2225..  - x140 + x283 =L= 0;

e2226..  - x141 + x284 =L= 0;

e2227..  - x142 + x285 =L= 0;

e2228..  - x143 + x286 =L= 0;

e2229..  - x144 + x287 =L= 0;

e2230..  - x145 + x288 =L= 0;

e2231..  - x146 + x289 =L= 0;

e2232..  - x147 + x290 =L= 0;

e2233..  - x148 + x291 =L= 0;

e2234..  - x149 + x292 =L= 0;

e2235..  - x150 + x293 =L= 0;

* set non-default bounds
x1.up = 1;
x2.up = 1;
x3.up = 1;
x4.up = 1;
x5.up = 1;
x6.up = 1;
x7.up = 1;
x8.up = 1;
x9.up = 1;
x10.up = 1;
x11.up = 1;
x12.up = 1;
x13.up = 1;
x14.up = 1;
x15.up = 1;
x16.up = 1;
x17.up = 1;
x18.up = 1;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
x23.up = 1;
x24.up = 1;
x25.up = 1;
x26.up = 1;
x27.up = 1;
x28.up = 1;
x29.up = 1;
x30.up = 1;
x31.up = 1;
x32.up = 1;
x33.up = 1;
x34.up = 1;
x35.up = 1;
x36.up = 1;
x37.up = 1;
x38.up = 1;
x39.up = 1;
x40.up = 1;
x41.up = 1;
x42.up = 1;
x43.up = 1;
x44.up = 1;
x45.up = 1;
x46.up = 1;
x47.up = 1;
x48.up = 1;
x49.up = 1;
x50.up = 1;
x51.up = 1;
x52.up = 1;
x53.up = 1;
x54.up = 1;
x55.up = 1;
x56.up = 1;
x57.up = 1;
x58.up = 1;
x59.up = 1;
x60.up = 1;
x61.up = 0.26351883;
x62.up = 0.26351883;
x63.up = 0.26351883;
x64.up = 0.26351883;
x65.up = 0.22891574;
x66.up = 0.22891574;
x67.up = 0.22891574;
x68.up = 0.22891574;
x69.up = 0.21464835;
x70.up = 0.21464835;
x71.up = 0.21464835;
x72.up = 0.21464835;
x73.up = 0.17964414;
x74.up = 0.17964414;
x75.up = 0.17964414;
x76.up = 0.17964414;
x77.up = 0.17402843;
x78.up = 0.17402843;
x79.up = 0.17402843;
x80.up = 0.17402843;
x81.up = 0.15355962;
x82.up = 0.15355962;
x83.up = 0.15355962;
x84.up = 0.15355962;
x85.up = 0.1942283;
x86.up = 0.1942283;
x87.up = 0.1942283;
x88.up = 0.1942283;
x89.up = 0.25670555;
x90.up = 0.25670555;
x91.up = 0.25670555;
x92.up = 0.25670555;
x93.up = 0.27088619;
x94.up = 0.27088619;
x95.up = 0.27088619;
x96.up = 0.27088619;
x97.up = 0.28985675;
x98.up = 0.28985675;
x99.up = 0.28985675;
x100.up = 0.28985675;
x101.up = 0.25550303;
x102.up = 0.25550303;
x103.up = 0.25550303;
x104.up = 0.25550303;
x105.up = 0.19001726;
x106.up = 0.19001726;
x107.up = 0.19001726;
x108.up = 0.19001726;
x109.up = 0.23803143;
x110.up = 0.23803143;
x111.up = 0.23803143;
x112.up = 0.23803143;
x113.up = 0.23312962;
x114.up = 0.23312962;
x115.up = 0.23312962;
x116.up = 0.23312962;
x117.up = 0.27705307;
x118.up = 0.27705307;
x119.up = 0.27705307;
x120.up = 0.27705307;
x121.up = 2.02;
x122.up = 4.01333333333333;
x123.up = 4.76;
x124.up = 5.96;
x125.up = 42.0933333333333;
x126.up = 99.28;
x127.up = 6.59333333333333;
x128.up = 61.8666666666667;
x129.up = 56.2866666666667;
x130.up = 41.5;
x131.up = 62.4933333333333;
x132.up = 80.9066666666667;
x133.up = 26.1466666666667;
x134.up = 38;
x135.up = 62.24;
x136.up = 0.5323080366;
x137.up = 0.918715169866666;
x138.up = 1.021726146;
x139.up = 1.0706790744;
x140.up = 7.32543671346667;
x141.up = 15.2453990736;
x142.up = 1.28061192466667;
x143.up = 15.8815166933333;
x144.up = 15.2472806811333;
x145.up = 12.029055125;
x146.up = 15.9672360214667;
x147.up = 15.3736631157333;
x148.up = 6.2237284564;
x149.up = 8.85892556;
x150.up = 17.2437830768;
x151.lo = 0.25788969; x151.up = 0.35227087;
x152.lo = 0.25788969; x152.up = 0.35227087;
x153.lo = 0.25788969; x153.up = 0.35227087;
x154.lo = 0.25788969; x154.up = 0.35227087;
x155.lo = -0.98493628; x155.up = -0.7794471;
x156.lo = -0.98493628; x156.up = -0.7794471;
x157.lo = -0.98493628; x157.up = -0.7794471;
x158.lo = -0.98493628; x158.up = -0.7794471;
x159.up = 0.0580296499999999;
x160.up = 0.0580296499999999;
x161.up = 0.0580296499999999;
x162.up = 0.0580296499999999;
x163.up = 0.0546689399999999;
x164.up = 0.0546689399999999;
x165.up = 0.0546689399999999;
x166.up = 0.0546689399999999;
x167.up = 0.09360565;
x168.up = 0.09360565;
x169.up = 0.09360565;
x170.up = 0.09360565;
x171.up = 0.0476880399999999;
x172.up = 0.0476880399999999;
x173.up = 0.0476880399999999;
x174.up = 0.0476880399999999;
x175.up = 0.05276021;
x176.up = 0.05276021;
x177.up = 0.05276021;
x178.up = 0.05276021;
x179.up = 0.04905388;
x180.up = 0.04905388;
x181.up = 0.04905388;
x182.up = 0.04905388;
x183.up = 0.07731692;
x184.up = 0.07731692;
x185.up = 0.07731692;
x186.up = 0.07731692;
x187.up = 0.08211741;
x188.up = 0.08211741;
x189.up = 0.08211741;
x190.up = 0.08211741;
x191.up = 0.09438118;
x192.up = 0.09438118;
x193.up = 0.09438118;
x194.up = 0.09438118;
x195.up = 0.08436757;
x196.up = 0.08436757;
x197.up = 0.08436757;
x198.up = 0.08436757;
x199.up = 0.06987597;
x200.up = 0.06987597;
x201.up = 0.06987597;
x202.up = 0.06987597;
x203.up = 0.04788831;
x204.up = 0.04788831;
x205.up = 0.04788831;
x206.up = 0.04788831;
x207.up = 0.0668875099999999;
x208.up = 0.0668875099999999;
x209.up = 0.0668875099999999;
x210.up = 0.0668875099999999;
x211.up = 0.07276512;
x212.up = 0.07276512;
x213.up = 0.07276512;
x214.up = 0.07276512;
x215.up = 0.09438118;
x216.up = 0.09438118;
x217.up = 0.09438118;
x218.up = 0.09438118;
x219.up = 0.20548918;
x220.up = 0.20548918;
x221.up = 0.20548918;
x222.up = 0.20548918;
x223.up = 0.1742468;
x224.up = 0.1742468;
x225.up = 0.1742468;
x226.up = 0.1742468;
x227.up = 0.1210427;
x228.up = 0.1210427;
x229.up = 0.1210427;
x230.up = 0.1210427;
x231.up = 0.1319561;
x232.up = 0.1319561;
x233.up = 0.1319561;
x234.up = 0.1319561;
x235.up = 0.12126822;
x236.up = 0.12126822;
x237.up = 0.12126822;
x238.up = 0.12126822;
x239.up = 0.10450574;
x240.up = 0.10450574;
x241.up = 0.10450574;
x242.up = 0.10450574;
x243.up = 0.11691138;
x244.up = 0.11691138;
x245.up = 0.11691138;
x246.up = 0.11691138;
x247.up = 0.17458814;
x248.up = 0.17458814;
x249.up = 0.17458814;
x250.up = 0.17458814;
x251.up = 0.17650501;
x252.up = 0.17650501;
x253.up = 0.17650501;
x254.up = 0.17650501;
x255.up = 0.20548918;
x256.up = 0.20548918;
x257.up = 0.20548918;
x258.up = 0.20548918;
x259.up = 0.18562706;
x260.up = 0.18562706;
x261.up = 0.18562706;
x262.up = 0.18562706;
x263.up = 0.14212895;
x264.up = 0.14212895;
x265.up = 0.14212895;
x266.up = 0.14212895;
x267.up = 0.17114392;
x268.up = 0.17114392;
x269.up = 0.17114392;
x270.up = 0.17114392;
x271.up = 0.1603645;
x272.up = 0.1603645;
x273.up = 0.1603645;
x274.up = 0.1603645;
x275.up = 0.18267189;
x276.up = 0.18267189;
x277.up = 0.18267189;
x278.up = 0.18267189;
x279.up = 0.5323080366;
x280.up = 0.918715169866666;
x281.up = 1.021726146;
x282.up = 1.0706790744;
x283.up = 7.32543671346667;
x284.up = 15.2453990736;
x285.up = 1.28061192466667;
x286.up = 15.8815166933333;
x287.up = 15.2472806811333;
x288.up = 12.029055125;
x289.up = 15.9672360214667;
x290.up = 15.3736631157333;
x291.up = 6.2237284564;
x292.up = 8.85892556;
x293.up = 17.2437830768;

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: 2022-05-24 Git hash: 1198c186
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