MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance sfacloc1_3_80

Probabilistic Facility Location and Assignment with Random Demand (given by 5000 scenarios), where 3 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)
8.57113063 p1 ( gdx sol )
(infeas: 1e-14)
8.52306705 p2 ( gdx sol )
(infeas: 3e-14)
Other points (infeas > 1e-08)  
Dual Bounds
2.03972677 (ANTIGONE)
0.00000000 (BARON)
0.00000000 (COUENNE)
0.66442177 (LINDO)
0.94057413 (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_3_80_5000.nl from François Margot stochastic instances collection
Application Facility Location
Added to library 12 Aug 2014
Problem type MBNLP
#Variables 293
#Binary Variables 62
#Integer Variables 0
#Nonlinear Variables 105
#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 2161
#Linear Constraints 2146
#Quadratic Constraints 0
#Polynomial Constraints 15
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 7790
#Nonlinear Nonzeros in Jacobian 105
#Nonzeros in (Upper-Left) Hessian of Lagrangian 270
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 15
Minimal blocksize in Hessian of Lagrangian 7
Maximal blocksize in Hessian of Lagrangian 7
Average blocksize in Hessian of Lagrangian 7.0
#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
*       2162       91     2053       18        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        294      232       62        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       7806     7701      105        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,b232,b233
          ,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246
          ,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259
          ,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271,b272
          ,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285
          ,b286,b287,b288,b289,b290,b291,b292,b293,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,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;

Binary Variables  b232,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243
          ,b244,b245,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256
          ,b257,b258,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269
          ,b270,b271,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282
          ,b283,b284,b285,b286,b287,b288,b289,b290,b291,b292,b293;

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;


e1..    x106 + x107 + x108 + x109 + x110 + x111 + x112 + x113 + x114 + x115
      + x116 + x117 + x118 + x119 + x120 - objvar =E= 0;

e2.. -(x91*x46*x1 + x91*x47*x2 + x91*x48*x3) + x217 =E= 0;

e3.. -(x92*x49*x4 + x92*x50*x5 + x92*x51*x6) + x218 =E= 0;

e4.. -(x93*x52*x7 + x93*x53*x8 + x93*x54*x9) + x219 =E= 0;

e5.. -(x94*x55*x10 + x94*x56*x11 + x94*x57*x12) + x220 =E= 0;

e6.. -(x95*x58*x13 + x95*x59*x14 + x95*x60*x15) + x221 =E= 0;

e7.. -(x96*x61*x16 + x96*x62*x17 + x96*x63*x18) + x222 =E= 0;

e8.. -(x97*x64*x19 + x97*x65*x20 + x97*x66*x21) + x223 =E= 0;

e9.. -(x98*x67*x22 + x98*x68*x23 + x98*x69*x24) + x224 =E= 0;

e10.. -(x99*x70*x25 + x99*x71*x26 + x99*x72*x27) + x225 =E= 0;

e11.. -(x100*x73*x28 + x100*x74*x29 + x100*x75*x30) + x226 =E= 0;

e12.. -(x101*x76*x31 + x101*x77*x32 + x101*x78*x33) + x227 =E= 0;

e13.. -(x102*x79*x34 + x102*x80*x35 + x102*x81*x36) + x228 =E= 0;

e14.. -(x103*x82*x37 + x103*x83*x38 + x103*x84*x39) + x229 =E= 0;

e15.. -(x104*x85*x40 + x104*x86*x41 + x104*x87*x42) + x230 =E= 0;

e16.. -(x105*x88*x43 + x105*x89*x44 + x105*x90*x45) + x231 =E= 0;

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

e18..    x4 + x5 + x6 =E= 1;

e19..    x7 + x8 + x9 =E= 1;

e20..    x10 + x11 + x12 =E= 1;

e21..    x13 + x14 + x15 =E= 1;

e22..    x16 + x17 + x18 =E= 1;

e23..    x19 + x20 + x21 =E= 1;

e24..    x22 + x23 + x24 =E= 1;

e25..    x25 + x26 + x27 =E= 1;

e26..    x28 + x29 + x30 =E= 1;

e27..    x31 + x32 + x33 =E= 1;

e28..    x34 + x35 + x36 =E= 1;

e29..    x37 + x38 + x39 =E= 1;

e30..    x40 + x41 + x42 =E= 1;

e31..    x43 + x44 + x45 =E= 1;

e32..    2.02*x1 + 4.01333333333333*x4 + 4.76*x7 + 5.96*x10
       + 42.0933333333333*x13 + 99.28*x16 + 6.59333333333333*x19
       + 61.8666666666667*x22 + 56.2866666666667*x25 + 41.5*x28
       + 62.4933333333333*x31 + 80.9066666666667*x34 + 26.1466666666667*x37
       + 38*x40 + 62.24*x43 =L= 213.053333333333;

e33..    2.02*x2 + 4.01333333333333*x5 + 4.76*x8 + 5.96*x11
       + 42.0933333333333*x14 + 99.28*x17 + 6.59333333333333*x20
       + 61.8666666666667*x23 + 56.2866666666667*x26 + 41.5*x29
       + 62.4933333333333*x32 + 80.9066666666667*x35 + 26.1466666666667*x38
       + 38*x41 + 62.24*x44 =L= 213.053333333333;

e34..    2.02*x3 + 4.01333333333333*x6 + 4.76*x9 + 5.96*x12
       + 42.0933333333333*x15 + 99.28*x18 + 6.59333333333333*x21
       + 61.8666666666667*x24 + 56.2866666666667*x27 + 41.5*x30
       + 62.4933333333333*x33 + 80.9066666666667*x36 + 26.1466666666667*x39
       + 38*x42 + 62.24*x45 =L= 213.053333333333;

e35..    x121 + x127 =G= 0.29424122;

e36..    x122 + x128 =G= 0.29424122;

e37..    x123 + x129 =G= 0.29424122;

e38..    x121 + x130 =G= 0.29760193;

e39..    x122 + x131 =G= 0.29760193;

e40..    x123 + x132 =G= 0.29760193;

e41..    x121 + x133 =G= 0.35149534;

e42..    x122 + x134 =G= 0.35149534;

e43..    x123 + x135 =G= 0.35149534;

e44..    x121 + x136 =G= 0.30458283;

e45..    x122 + x137 =G= 0.30458283;

e46..    x123 + x138 =G= 0.30458283;

e47..    x121 + x139 =G= 0.29951066;

e48..    x122 + x140 =G= 0.29951066;

e49..    x123 + x141 =G= 0.29951066;

e50..    x121 + x142 =G= 0.30694357;

e51..    x122 + x143 =G= 0.30694357;

e52..    x123 + x144 =G= 0.30694357;

e53..    x121 + x145 =G= 0.33520661;

e54..    x122 + x146 =G= 0.33520661;

e55..    x123 + x147 =G= 0.33520661;

e56..    x121 + x148 =G= 0.3400071;

e57..    x122 + x149 =G= 0.3400071;

e58..    x123 + x150 =G= 0.3400071;

e59..    x121 + x151 =G= 0.35227087;

e60..    x122 + x152 =G= 0.35227087;

e61..    x123 + x153 =G= 0.35227087;

e62..    x121 + x154 =G= 0.34225726;

e63..    x122 + x155 =G= 0.34225726;

e64..    x123 + x156 =G= 0.34225726;

e65..    x121 + x157 =G= 0.32776566;

e66..    x122 + x158 =G= 0.32776566;

e67..    x123 + x159 =G= 0.32776566;

e68..    x121 + x160 =G= 0.30438256;

e69..    x122 + x161 =G= 0.30438256;

e70..    x123 + x162 =G= 0.30438256;

e71..    x121 + x163 =G= 0.28538336;

e72..    x122 + x164 =G= 0.28538336;

e73..    x123 + x165 =G= 0.28538336;

e74..    x121 + x166 =G= 0.27950575;

e75..    x122 + x167 =G= 0.27950575;

e76..    x123 + x168 =G= 0.27950575;

e77..  - x121 + x127 =G= -0.29424122;

e78..  - x122 + x128 =G= -0.29424122;

e79..  - x123 + x129 =G= -0.29424122;

e80..  - x121 + x130 =G= -0.29760193;

e81..  - x122 + x131 =G= -0.29760193;

e82..  - x123 + x132 =G= -0.29760193;

e83..  - x121 + x133 =G= -0.35149534;

e84..  - x122 + x134 =G= -0.35149534;

e85..  - x123 + x135 =G= -0.35149534;

e86..  - x121 + x136 =G= -0.30458283;

e87..  - x122 + x137 =G= -0.30458283;

e88..  - x123 + x138 =G= -0.30458283;

e89..  - x121 + x139 =G= -0.29951066;

e90..  - x122 + x140 =G= -0.29951066;

e91..  - x123 + x141 =G= -0.29951066;

e92..  - x121 + x142 =G= -0.30694357;

e93..  - x122 + x143 =G= -0.30694357;

e94..  - x123 + x144 =G= -0.30694357;

e95..  - x121 + x145 =G= -0.33520661;

e96..  - x122 + x146 =G= -0.33520661;

e97..  - x123 + x147 =G= -0.33520661;

e98..  - x121 + x148 =G= -0.3400071;

e99..  - x122 + x149 =G= -0.3400071;

e100..  - x123 + x150 =G= -0.3400071;

e101..  - x121 + x154 =G= -0.34225726;

e102..  - x122 + x155 =G= -0.34225726;

e103..  - x123 + x156 =G= -0.34225726;

e104..  - x121 + x157 =G= -0.32776566;

e105..  - x122 + x158 =G= -0.32776566;

e106..  - x123 + x159 =G= -0.32776566;

e107..  - x121 + x160 =G= -0.30438256;

e108..  - x122 + x161 =G= -0.30438256;

e109..  - x123 + x162 =G= -0.30438256;

e110..  - x121 + x163 =G= -0.28538336;

e111..  - x122 + x164 =G= -0.28538336;

e112..  - x123 + x165 =G= -0.28538336;

e113..  - x121 + x166 =G= -0.27950575;

e114..  - x122 + x167 =G= -0.27950575;

e115..  - x123 + x168 =G= -0.27950575;

e116..  - x121 + x169 =G= -0.25788969;

e117..  - x122 + x170 =G= -0.25788969;

e118..  - x123 + x171 =G= -0.25788969;

e119..    x124 + x175 =G= -0.9536939;

e120..    x125 + x176 =G= -0.9536939;

e121..    x126 + x177 =G= -0.9536939;

e122..    x124 + x178 =G= -0.9004898;

e123..    x125 + x179 =G= -0.9004898;

e124..    x126 + x180 =G= -0.9004898;

e125..    x124 + x181 =G= -0.9114032;

e126..    x125 + x182 =G= -0.9114032;

e127..    x126 + x183 =G= -0.9114032;

e128..    x124 + x184 =G= -0.90071532;

e129..    x125 + x185 =G= -0.90071532;

e130..    x126 + x186 =G= -0.90071532;

e131..    x124 + x187 =G= -0.88043054;

e132..    x125 + x188 =G= -0.88043054;

e133..    x126 + x189 =G= -0.88043054;

e134..    x124 + x190 =G= -0.8680249;

e135..    x125 + x191 =G= -0.8680249;

e136..    x126 + x192 =G= -0.8680249;

e137..    x124 + x193 =G= -0.81034814;

e138..    x125 + x194 =G= -0.81034814;

e139..    x126 + x195 =G= -0.81034814;

e140..    x124 + x196 =G= -0.80843127;

e141..    x125 + x197 =G= -0.80843127;

e142..    x126 + x198 =G= -0.80843127;

e143..    x124 + x199 =G= -0.7794471;

e144..    x125 + x200 =G= -0.7794471;

e145..    x126 + x201 =G= -0.7794471;

e146..    x124 + x202 =G= -0.79930922;

e147..    x125 + x203 =G= -0.79930922;

e148..    x126 + x204 =G= -0.79930922;

e149..    x124 + x205 =G= -0.84280733;

e150..    x125 + x206 =G= -0.84280733;

e151..    x126 + x207 =G= -0.84280733;

e152..    x124 + x208 =G= -0.81379236;

e153..    x125 + x209 =G= -0.81379236;

e154..    x126 + x210 =G= -0.81379236;

e155..    x124 + x211 =G= -0.82457178;

e156..    x125 + x212 =G= -0.82457178;

e157..    x126 + x213 =G= -0.82457178;

e158..    x124 + x214 =G= -0.80226439;

e159..    x125 + x215 =G= -0.80226439;

e160..    x126 + x216 =G= -0.80226439;

e161..  - x124 + x172 =G= 0.98493628;

e162..  - x125 + x173 =G= 0.98493628;

e163..  - x126 + x174 =G= 0.98493628;

e164..  - x124 + x175 =G= 0.9536939;

e165..  - x125 + x176 =G= 0.9536939;

e166..  - x126 + x177 =G= 0.9536939;

e167..  - x124 + x178 =G= 0.9004898;

e168..  - x125 + x179 =G= 0.9004898;

e169..  - x126 + x180 =G= 0.9004898;

e170..  - x124 + x181 =G= 0.9114032;

e171..  - x125 + x182 =G= 0.9114032;

e172..  - x126 + x183 =G= 0.9114032;

e173..  - x124 + x184 =G= 0.90071532;

e174..  - x125 + x185 =G= 0.90071532;

e175..  - x126 + x186 =G= 0.90071532;

e176..  - x124 + x187 =G= 0.88043054;

e177..  - x125 + x188 =G= 0.88043054;

e178..  - x126 + x189 =G= 0.88043054;

e179..  - x124 + x190 =G= 0.8680249;

e180..  - x125 + x191 =G= 0.8680249;

e181..  - x126 + x192 =G= 0.8680249;

e182..  - x124 + x193 =G= 0.81034814;

e183..  - x125 + x194 =G= 0.81034814;

e184..  - x126 + x195 =G= 0.81034814;

e185..  - x124 + x196 =G= 0.80843127;

e186..  - x125 + x197 =G= 0.80843127;

e187..  - x126 + x198 =G= 0.80843127;

e188..  - x124 + x202 =G= 0.79930922;

e189..  - x125 + x203 =G= 0.79930922;

e190..  - x126 + x204 =G= 0.79930922;

e191..  - x124 + x205 =G= 0.84280733;

e192..  - x125 + x206 =G= 0.84280733;

e193..  - x126 + x207 =G= 0.84280733;

e194..  - x124 + x208 =G= 0.81379236;

e195..  - x125 + x209 =G= 0.81379236;

e196..  - x126 + x210 =G= 0.81379236;

e197..  - x124 + x211 =G= 0.82457178;

e198..  - x125 + x212 =G= 0.82457178;

e199..  - x126 + x213 =G= 0.82457178;

e200..  - x124 + x214 =G= 0.80226439;

e201..  - x125 + x215 =G= 0.80226439;

e202..  - x126 + x216 =G= 0.80226439;

e203..    x46 - x127 - x172 =E= 0;

e204..    x47 - x128 - x173 =E= 0;

e205..    x48 - x129 - x174 =E= 0;

e206..    x49 - x130 - x175 =E= 0;

e207..    x50 - x131 - x176 =E= 0;

e208..    x51 - x132 - x177 =E= 0;

e209..    x52 - x133 - x178 =E= 0;

e210..    x53 - x134 - x179 =E= 0;

e211..    x54 - x135 - x180 =E= 0;

e212..    x55 - x136 - x181 =E= 0;

e213..    x56 - x137 - x182 =E= 0;

e214..    x57 - x138 - x183 =E= 0;

e215..    x58 - x139 - x184 =E= 0;

e216..    x59 - x140 - x185 =E= 0;

e217..    x60 - x141 - x186 =E= 0;

e218..    x61 - x142 - x187 =E= 0;

e219..    x62 - x143 - x188 =E= 0;

e220..    x63 - x144 - x189 =E= 0;

e221..    x64 - x145 - x190 =E= 0;

e222..    x65 - x146 - x191 =E= 0;

e223..    x66 - x147 - x192 =E= 0;

e224..    x67 - x148 - x193 =E= 0;

e225..    x68 - x149 - x194 =E= 0;

e226..    x69 - x150 - x195 =E= 0;

e227..    x70 - x151 - x196 =E= 0;

e228..    x71 - x152 - x197 =E= 0;

e229..    x72 - x153 - x198 =E= 0;

e230..    x73 - x154 - x199 =E= 0;

e231..    x74 - x155 - x200 =E= 0;

e232..    x75 - x156 - x201 =E= 0;

e233..    x76 - x157 - x202 =E= 0;

e234..    x77 - x158 - x203 =E= 0;

e235..    x78 - x159 - x204 =E= 0;

e236..    x79 - x160 - x205 =E= 0;

e237..    x80 - x161 - x206 =E= 0;

e238..    x81 - x162 - x207 =E= 0;

e239..    x82 - x163 - x208 =E= 0;

e240..    x83 - x164 - x209 =E= 0;

e241..    x84 - x165 - x210 =E= 0;

e242..    x85 - x166 - x211 =E= 0;

e243..    x86 - x167 - x212 =E= 0;

e244..    x87 - x168 - x213 =E= 0;

e245..    x88 - x169 - x214 =E= 0;

e246..    x89 - x170 - x215 =E= 0;

e247..    x90 - x171 - x216 =E= 0;

e248..    b250 + b251 =G= 1;

e249..    b247 + b252 =G= 1;

e250..    b246 + b253 =G= 1;

e251..    b245 + b256 =G= 1;

e252..    b244 + b251 =G= 1;

e253..    b244 + b249 + b252 =G= 1;

e254..    b244 + b247 + b254 =G= 1;

e255..    b244 + b246 + b255 =G= 1;

e256..    b244 + b245 =G= 1;

e257..    b243 + b251 =G= 1;

e258..    b243 + b250 + b252 =G= 1;

e259..    b243 + b249 + b253 =G= 1;

e260..    b243 + b248 + b254 =G= 1;

e261..    b243 + b247 + b255 =G= 1;

e262..    b243 + b246 + b256 =G= 1;

e263..    b243 + b245 =G= 1;

e264..    b242 + b253 =G= 1;

e265..    b242 + b250 + b254 =G= 1;

e266..    b242 + b249 + b255 =G= 1;

e267..    b242 + b248 + b256 =G= 1;

e268..    b242 + b247 =G= 1;

e269..    b241 + b256 =G= 1;

e270..    b241 + b250 =G= 1;

e271..    b240 + b251 =G= 1;

e272..    b240 + b250 + b252 =G= 1;

e273..    b240 + b248 + b253 =G= 1;

e274..    b240 + b247 + b254 =G= 1;

e275..    b240 + b246 + b256 =G= 1;

e276..    b240 + b245 =G= 1;

e277..    b240 + b244 + b252 =G= 1;

e278..    b240 + b244 + b250 + b253 =G= 1;

e279..    b240 + b244 + b249 + b254 =G= 1;

e280..    b240 + b244 + b248 + b255 =G= 1;

e281..    b240 + b244 + b247 + b256 =G= 1;

e282..    b240 + b244 + b246 =G= 1;

e283..    b240 + b243 + b254 =G= 1;

e284..    b240 + b243 + b250 + b255 =G= 1;

e285..    b240 + b243 + b249 + b256 =G= 1;

e286..    b240 + b243 + b248 =G= 1;

e287..    b240 + b242 + b256 =G= 1;

e288..    b240 + b242 + b250 =G= 1;

e289..    b240 + b241 =G= 1;

e290..    b239 + b253 =G= 1;

e291..    b239 + b250 + b254 =G= 1;

e292..    b239 + b249 + b255 =G= 1;

e293..    b239 + b248 + b256 =G= 1;

e294..    b239 + b247 =G= 1;

e295..    b239 + b244 + b255 =G= 1;

e296..    b239 + b244 + b250 + b256 =G= 1;

e297..    b239 + b244 + b249 =G= 1;

e298..    b239 + b243 + b256 =G= 1;

e299..    b239 + b243 + b250 =G= 1;

e300..    b239 + b242 =G= 1;

e301..    b238 + b256 =G= 1;

e302..    b238 + b250 =G= 1;

e303..    b238 + b244 =G= 1;

e304..    b237 + b251 =G= 1;

e305..    b237 + b250 + b252 =G= 1;

e306..    b237 + b249 + b253 =G= 1;

e307..    b237 + b248 + b254 =G= 1;

e308..    b237 + b247 + b255 =G= 1;

e309..    b237 + b246 + b256 =G= 1;

e310..    b237 + b245 =G= 1;

e311..    b237 + b244 + b252 =G= 1;

e312..    b237 + b244 + b250 + b253 =G= 1;

e313..    b237 + b244 + b249 + b254 =G= 1;

e314..    b237 + b244 + b248 + b255 =G= 1;

e315..    b237 + b244 + b247 + b256 =G= 1;

e316..    b237 + b244 + b246 =G= 1;

e317..    b237 + b243 + b254 =G= 1;

e318..    b237 + b243 + b250 + b255 =G= 1;

e319..    b237 + b243 + b249 + b256 =G= 1;

e320..    b237 + b243 + b248 =G= 1;

e321..    b237 + b242 + b256 =G= 1;

e322..    b237 + b242 + b250 =G= 1;

e323..    b237 + b241 =G= 1;

e324..    b237 + b240 + b253 =G= 1;

e325..    b237 + b240 + b250 + b254 =G= 1;

e326..    b237 + b240 + b249 + b255 =G= 1;

e327..    b237 + b240 + b248 + b256 =G= 1;

e328..    b237 + b240 + b247 =G= 1;

e329..    b237 + b240 + b244 + b254 =G= 1;

e330..    b237 + b240 + b244 + b250 + b256 =G= 1;

e331..    b237 + b240 + b244 + b248 =G= 1;

e332..    b237 + b240 + b243 + b256 =G= 1;

e333..    b237 + b240 + b243 + b250 =G= 1;

e334..    b237 + b240 + b242 =G= 1;

e335..    b237 + b239 + b256 =G= 1;

e336..    b237 + b239 + b250 =G= 1;

e337..    b237 + b239 + b244 =G= 1;

e338..    b237 + b238 =G= 1;

e339..    b236 + b253 =G= 1;

e340..    b236 + b250 + b254 =G= 1;

e341..    b236 + b249 + b255 =G= 1;

e342..    b236 + b248 + b256 =G= 1;

e343..    b236 + b247 =G= 1;

e344..    b236 + b244 + b255 =G= 1;

e345..    b236 + b244 + b250 + b256 =G= 1;

e346..    b236 + b244 + b248 =G= 1;

e347..    b236 + b243 + b256 =G= 1;

e348..    b236 + b243 + b250 =G= 1;

e349..    b236 + b242 =G= 1;

e350..    b236 + b240 + b256 =G= 1;

e351..    b236 + b240 + b249 =G= 1;

e352..    b236 + b240 + b244 =G= 1;

e353..    b236 + b239 =G= 1;

e354..    b235 + b256 =G= 1;

e355..    b235 + b250 =G= 1;

e356..    b235 + b244 =G= 1;

e357..    b235 + b240 =G= 1;

e358..    b234 + b251 =G= 1;

e359..    b234 + b249 + b252 =G= 1;

e360..    b234 + b248 + b253 =G= 1;

e361..    b234 + b247 + b254 =G= 1;

e362..    b234 + b246 + b256 =G= 1;

e363..    b234 + b245 =G= 1;

e364..    b234 + b244 + b252 =G= 1;

e365..    b234 + b244 + b250 + b253 =G= 1;

e366..    b234 + b244 + b249 + b254 =G= 1;

e367..    b234 + b244 + b248 + b255 =G= 1;

e368..    b234 + b244 + b247 + b256 =G= 1;

e369..    b234 + b244 + b246 =G= 1;

e370..    b234 + b243 + b254 =G= 1;

e371..    b234 + b243 + b250 + b255 =G= 1;

e372..    b234 + b243 + b249 + b256 =G= 1;

e373..    b234 + b243 + b248 =G= 1;

e374..    b234 + b242 + b256 =G= 1;

e375..    b234 + b242 + b249 =G= 1;

e376..    b234 + b241 =G= 1;

e377..    b234 + b240 + b253 =G= 1;

e378..    b234 + b240 + b250 + b254 =G= 1;

e379..    b234 + b240 + b249 + b255 =G= 1;

e380..    b234 + b240 + b248 + b256 =G= 1;

e381..    b234 + b240 + b247 =G= 1;

e382..    b234 + b240 + b244 + b254 =G= 1;

e383..    b234 + b240 + b244 + b250 + b255 =G= 1;

e384..    b234 + b240 + b244 + b249 + b256 =G= 1;

e385..    b234 + b240 + b244 + b248 =G= 1;

e386..    b234 + b240 + b243 + b256 =G= 1;

e387..    b234 + b240 + b243 + b250 =G= 1;

e388..    b234 + b240 + b242 =G= 1;

e389..    b234 + b239 + b256 =G= 1;

e390..    b234 + b239 + b250 =G= 1;

e391..    b234 + b239 + b244 =G= 1;

e392..    b234 + b238 =G= 1;

e393..    b234 + b237 + b253 =G= 1;

e394..    b234 + b237 + b250 + b254 =G= 1;

e395..    b234 + b237 + b249 + b255 =G= 1;

e396..    b234 + b237 + b248 + b256 =G= 1;

e397..    b234 + b237 + b247 =G= 1;

e398..    b234 + b237 + b244 + b254 =G= 1;

e399..    b234 + b237 + b244 + b250 + b256 =G= 1;

e400..    b234 + b237 + b244 + b249 =G= 1;

e401..    b234 + b237 + b243 + b256 =G= 1;

e402..    b234 + b237 + b243 + b250 =G= 1;

e403..    b234 + b237 + b242 =G= 1;

e404..    b234 + b237 + b240 + b255 =G= 1;

e405..    b234 + b237 + b240 + b250 + b256 =G= 1;

e406..    b234 + b237 + b240 + b249 =G= 1;

e407..    b234 + b237 + b240 + b244 =G= 1;

e408..    b234 + b237 + b239 =G= 1;

e409..    b234 + b236 + b256 =G= 1;

e410..    b234 + b236 + b250 =G= 1;

e411..    b234 + b236 + b244 =G= 1;

e412..    b234 + b236 + b240 =G= 1;

e413..    b234 + b235 =G= 1;

e414..    b233 + b253 =G= 1;

e415..    b233 + b250 + b254 =G= 1;

e416..    b233 + b249 + b255 =G= 1;

e417..    b233 + b248 + b256 =G= 1;

e418..    b233 + b247 =G= 1;

e419..    b233 + b244 + b255 =G= 1;

e420..    b233 + b244 + b250 + b256 =G= 1;

e421..    b233 + b244 + b249 =G= 1;

e422..    b233 + b243 + b256 =G= 1;

e423..    b233 + b243 + b250 =G= 1;

e424..    b233 + b242 =G= 1;

e425..    b233 + b240 + b256 =G= 1;

e426..    b233 + b240 + b250 =G= 1;

e427..    b233 + b240 + b244 =G= 1;

e428..    b233 + b239 =G= 1;

e429..    b233 + b237 + b256 =G= 1;

e430..    b233 + b237 + b250 =G= 1;

e431..    b233 + b237 + b244 =G= 1;

e432..    b233 + b237 + b240 =G= 1;

e433..    b233 + b236 =G= 1;

e434..    b232 + b256 =G= 1;

e435..    b232 + b250 =G= 1;

e436..    b232 + b244 =G= 1;

e437..    b232 + b240 =G= 1;

e438..    b232 + b237 =G= 1;

e439..    b256 + b265 =G= 1;

e440..    b256 + b263 + b266 =G= 1;

e441..    b256 + b262 + b267 =G= 1;

e442..    b256 + b261 + b268 =G= 1;

e443..    b256 + b260 =G= 1;

e444..    b256 + b259 + b266 =G= 1;

e445..    b256 + b259 + b264 + b267 =G= 1;

e446..    b256 + b259 + b262 + b269 =G= 1;

e447..    b256 + b259 + b261 =G= 1;

e448..    b256 + b258 + b268 =G= 1;

e449..    b256 + b258 + b264 + b269 =G= 1;

e450..    b256 + b258 + b263 =G= 1;

e451..    b256 + b257 =G= 1;

e452..    b255 + b265 =G= 1;

e453..    b255 + b263 + b266 =G= 1;

e454..    b255 + b262 + b267 =G= 1;

e455..    b255 + b261 + b268 =G= 1;

e456..    b255 + b260 =G= 1;

e457..    b255 + b259 + b266 =G= 1;

e458..    b255 + b259 + b264 + b267 =G= 1;

e459..    b255 + b259 + b263 + b268 =G= 1;

e460..    b255 + b259 + b262 + b269 =G= 1;

e461..    b255 + b259 + b261 =G= 1;

e462..    b255 + b258 + b268 =G= 1;

e463..    b255 + b258 + b264 + b269 =G= 1;

e464..    b255 + b258 + b263 =G= 1;

e465..    b255 + b257 =G= 1;

e466..    b254 + b265 =G= 1;

e467..    b254 + b264 + b266 =G= 1;

e468..    b254 + b263 + b267 =G= 1;

e469..    b254 + b262 + b268 =G= 1;

e470..    b254 + b261 + b269 =G= 1;

e471..    b254 + b260 =G= 1;

e472..    b254 + b259 + b267 =G= 1;

e473..    b254 + b259 + b264 + b268 =G= 1;

e474..    b254 + b259 + b263 + b269 =G= 1;

e475..    b254 + b259 + b262 =G= 1;

e476..    b254 + b258 + b269 =G= 1;

e477..    b254 + b258 + b264 =G= 1;

e478..    b254 + b257 =G= 1;

e479..    b253 + b266 =G= 1;

e480..    b253 + b264 + b267 =G= 1;

e481..    b253 + b263 + b268 =G= 1;

e482..    b253 + b262 + b269 =G= 1;

e483..    b253 + b261 =G= 1;

e484..    b253 + b259 + b268 =G= 1;

e485..    b253 + b259 + b264 + b269 =G= 1;

e486..    b253 + b259 + b263 =G= 1;

e487..    b253 + b258 =G= 1;

e488..    b252 + b267 =G= 1;

e489..    b252 + b264 + b268 =G= 1;

e490..    b252 + b263 + b269 =G= 1;

e491..    b252 + b262 =G= 1;

e492..    b252 + b259 + b269 =G= 1;

e493..    b252 + b259 + b264 =G= 1;

e494..    b252 + b258 =G= 1;

e495..    b251 + b269 =G= 1;

e496..    b251 + b264 =G= 1;

e497..    b251 + b259 =G= 1;

e498..    b250 + b265 =G= 1;

e499..    b250 + b263 + b266 =G= 1;

e500..    b250 + b262 + b267 =G= 1;

e501..    b250 + b260 =G= 1;

e502..    b250 + b259 + b266 =G= 1;

e503..    b250 + b259 + b264 + b267 =G= 1;

e504..    b250 + b259 + b262 + b269 =G= 1;

e505..    b250 + b259 + b261 =G= 1;

e506..    b250 + b258 + b268 =G= 1;

e507..    b250 + b258 + b264 + b269 =G= 1;

e508..    b250 + b258 + b263 =G= 1;

e509..    b250 + b257 =G= 1;

e510..    b250 + b256 + b265 =G= 1;

e511..    b250 + b256 + b263 + b266 =G= 1;

e512..    b250 + b256 + b262 + b267 =G= 1;

e513..    b250 + b256 + b261 + b269 =G= 1;

e514..    b250 + b256 + b260 =G= 1;

e515..    b250 + b256 + b259 + b266 =G= 1;

e516..    b250 + b256 + b259 + b264 + b267 =G= 1;

e517..    b250 + b256 + b259 + b263 + b268 =G= 1;

e518..    b250 + b256 + b259 + b262 + b269 =G= 1;

e519..    b250 + b256 + b259 + b261 =G= 1;

e520..    b250 + b256 + b258 + b268 =G= 1;

e521..    b250 + b256 + b258 + b264 + b269 =G= 1;

e522..    b250 + b256 + b258 + b263 =G= 1;

e523..    b250 + b256 + b257 =G= 1;

e524..    b250 + b255 + b265 =G= 1;

e525..    b250 + b255 + b264 + b266 =G= 1;

e526..    b250 + b255 + b263 + b267 =G= 1;

e527..    b250 + b255 + b262 + b268 =G= 1;

e528..    b250 + b255 + b261 + b269 =G= 1;

e529..    b250 + b255 + b260 =G= 1;

e530..    b250 + b255 + b259 + b267 =G= 1;

e531..    b250 + b255 + b259 + b264 + b268 =G= 1;

e532..    b250 + b255 + b259 + b263 + b269 =G= 1;

e533..    b250 + b255 + b259 + b262 =G= 1;

e534..    b250 + b255 + b258 + b269 =G= 1;

e535..    b250 + b255 + b258 + b264 =G= 1;

e536..    b250 + b255 + b257 =G= 1;

e537..    b250 + b254 + b266 =G= 1;

e538..    b250 + b254 + b264 + b267 =G= 1;

e539..    b250 + b254 + b263 + b268 =G= 1;

e540..    b250 + b254 + b262 + b269 =G= 1;

e541..    b250 + b254 + b261 =G= 1;

e542..    b250 + b254 + b259 + b268 =G= 1;

e543..    b250 + b254 + b259 + b264 + b269 =G= 1;

e544..    b250 + b254 + b259 + b263 =G= 1;

e545..    b250 + b254 + b258 =G= 1;

e546..    b250 + b253 + b267 =G= 1;

e547..    b250 + b253 + b264 + b268 =G= 1;

e548..    b250 + b253 + b263 + b269 =G= 1;

e549..    b250 + b253 + b262 =G= 1;

e550..    b250 + b253 + b259 + b269 =G= 1;

e551..    b250 + b253 + b259 + b264 =G= 1;

e552..    b250 + b253 + b258 =G= 1;

e553..    b250 + b252 + b268 =G= 1;

e554..    b250 + b252 + b264 + b269 =G= 1;

e555..    b250 + b252 + b263 =G= 1;

e556..    b250 + b252 + b259 =G= 1;

e557..    b249 + b265 =G= 1;

e558..    b249 + b263 + b266 =G= 1;

e559..    b249 + b262 + b267 =G= 1;

e560..    b249 + b261 + b268 =G= 1;

e561..    b249 + b260 =G= 1;

e562..    b249 + b259 + b266 =G= 1;

e563..    b249 + b259 + b264 + b267 =G= 1;

e564..    b249 + b259 + b263 + b268 =G= 1;

e565..    b249 + b259 + b262 + b269 =G= 1;

e566..    b249 + b259 + b261 =G= 1;

e567..    b249 + b258 + b268 =G= 1;

e568..    b249 + b258 + b264 + b269 =G= 1;

e569..    b249 + b258 + b263 =G= 1;

e570..    b249 + b257 =G= 1;

e571..    b249 + b256 + b265 =G= 1;

e572..    b249 + b256 + b264 + b266 =G= 1;

e573..    b249 + b256 + b263 + b267 =G= 1;

e574..    b249 + b256 + b262 + b268 =G= 1;

e575..    b249 + b256 + b261 + b269 =G= 1;

e576..    b249 + b256 + b260 =G= 1;

e577..    b249 + b256 + b259 + b267 =G= 1;

e578..    b249 + b256 + b259 + b264 + b268 =G= 1;

e579..    b249 + b256 + b259 + b263 + b269 =G= 1;

e580..    b249 + b256 + b259 + b262 =G= 1;

e581..    b249 + b256 + b258 + b269 =G= 1;

e582..    b249 + b256 + b258 + b264 =G= 1;

e583..    b249 + b256 + b257 =G= 1;

e584..    b249 + b255 + b266 =G= 1;

e585..    b249 + b255 + b264 + b267 =G= 1;

e586..    b249 + b255 + b263 + b268 =G= 1;

e587..    b249 + b255 + b262 + b269 =G= 1;

e588..    b249 + b255 + b261 =G= 1;

e589..    b249 + b255 + b259 + b268 =G= 1;

e590..    b249 + b255 + b259 + b264 + b269 =G= 1;

e591..    b249 + b255 + b259 + b263 =G= 1;

e592..    b249 + b255 + b258 =G= 1;

e593..    b249 + b254 + b267 =G= 1;

e594..    b249 + b254 + b264 + b268 =G= 1;

e595..    b249 + b254 + b263 + b269 =G= 1;

e596..    b249 + b254 + b262 =G= 1;

e597..    b249 + b254 + b259 + b269 =G= 1;

e598..    b249 + b254 + b259 + b264 =G= 1;

e599..    b249 + b254 + b258 =G= 1;

e600..    b249 + b253 + b267 =G= 1;

e601..    b249 + b253 + b264 + b269 =G= 1;

e602..    b249 + b253 + b263 =G= 1;

e603..    b249 + b253 + b259 =G= 1;

e604..    b249 + b252 + b268 =G= 1;

e605..    b249 + b252 + b264 + b269 =G= 1;

e606..    b249 + b252 + b263 =G= 1;

e607..    b249 + b252 + b259 =G= 1;

e608..    b248 + b265 =G= 1;

e609..    b248 + b264 + b266 =G= 1;

e610..    b248 + b263 + b267 =G= 1;

e611..    b248 + b262 + b268 =G= 1;

e612..    b248 + b261 + b269 =G= 1;

e613..    b248 + b260 =G= 1;

e614..    b248 + b259 + b267 =G= 1;

e615..    b248 + b259 + b264 + b268 =G= 1;

e616..    b248 + b259 + b263 + b269 =G= 1;

e617..    b248 + b259 + b262 =G= 1;

e618..    b248 + b258 + b269 =G= 1;

e619..    b248 + b258 + b264 =G= 1;

e620..    b248 + b257 =G= 1;

e621..    b248 + b256 + b266 =G= 1;

e622..    b248 + b256 + b264 + b267 =G= 1;

e623..    b248 + b256 + b263 + b268 =G= 1;

e624..    b248 + b256 + b262 + b269 =G= 1;

e625..    b248 + b256 + b261 =G= 1;

e626..    b248 + b256 + b259 + b268 =G= 1;

e627..    b248 + b256 + b259 + b264 + b269 =G= 1;

e628..    b248 + b256 + b259 + b263 =G= 1;

e629..    b248 + b256 + b258 =G= 1;

e630..    b248 + b255 + b267 =G= 1;

e631..    b248 + b255 + b264 + b268 =G= 1;

e632..    b248 + b255 + b263 + b269 =G= 1;

e633..    b248 + b255 + b262 =G= 1;

e634..    b248 + b255 + b259 + b269 =G= 1;

e635..    b248 + b255 + b259 + b264 =G= 1;

e636..    b248 + b255 + b258 =G= 1;

e637..    b248 + b254 + b267 =G= 1;

e638..    b248 + b254 + b264 + b268 =G= 1;

e639..    b248 + b254 + b263 + b269 =G= 1;

e640..    b248 + b254 + b262 =G= 1;

e641..    b248 + b254 + b259 + b269 =G= 1;

e642..    b248 + b254 + b259 + b264 =G= 1;

e643..    b248 + b254 + b258 =G= 1;

e644..    b248 + b253 + b268 =G= 1;

e645..    b248 + b253 + b264 + b269 =G= 1;

e646..    b248 + b253 + b263 =G= 1;

e647..    b248 + b253 + b259 =G= 1;

e648..    b248 + b252 + b269 =G= 1;

e649..    b248 + b252 + b264 =G= 1;

e650..    b248 + b252 + b259 =G= 1;

e651..    b247 + b266 =G= 1;

e652..    b247 + b264 + b267 =G= 1;

e653..    b247 + b263 + b268 =G= 1;

e654..    b247 + b262 + b269 =G= 1;

e655..    b247 + b261 =G= 1;

e656..    b247 + b259 + b268 =G= 1;

e657..    b247 + b259 + b264 + b269 =G= 1;

e658..    b247 + b259 + b263 =G= 1;

e659..    b247 + b258 =G= 1;

e660..    b247 + b256 + b267 =G= 1;

e661..    b247 + b256 + b264 + b268 =G= 1;

e662..    b247 + b256 + b263 + b269 =G= 1;

e663..    b247 + b256 + b262 =G= 1;

e664..    b247 + b256 + b259 + b269 =G= 1;

e665..    b247 + b256 + b259 + b264 =G= 1;

e666..    b247 + b256 + b258 =G= 1;

e667..    b247 + b255 + b267 =G= 1;

e668..    b247 + b255 + b264 + b268 =G= 1;

e669..    b247 + b255 + b263 =G= 1;

e670..    b247 + b255 + b259 + b269 =G= 1;

e671..    b247 + b255 + b259 + b264 =G= 1;

e672..    b247 + b255 + b258 =G= 1;

e673..    b247 + b254 + b268 =G= 1;

e674..    b247 + b254 + b264 + b269 =G= 1;

e675..    b247 + b254 + b263 =G= 1;

e676..    b247 + b254 + b259 =G= 1;

e677..    b247 + b253 + b269 =G= 1;

e678..    b247 + b253 + b264 =G= 1;

e679..    b247 + b253 + b259 =G= 1;

e680..    b246 + b267 =G= 1;

e681..    b246 + b264 + b268 =G= 1;

e682..    b246 + b263 + b269 =G= 1;

e683..    b246 + b262 =G= 1;

e684..    b246 + b259 + b269 =G= 1;

e685..    b246 + b259 + b264 =G= 1;

e686..    b246 + b258 =G= 1;

e687..    b246 + b256 + b267 =G= 1;

e688..    b246 + b256 + b264 + b269 =G= 1;

e689..    b246 + b256 + b263 =G= 1;

e690..    b246 + b256 + b259 =G= 1;

e691..    b246 + b255 + b268 =G= 1;

e692..    b246 + b255 + b264 + b269 =G= 1;

e693..    b246 + b255 + b263 =G= 1;

e694..    b246 + b255 + b259 =G= 1;

e695..    b246 + b254 + b269 =G= 1;

e696..    b246 + b254 + b264 =G= 1;

e697..    b246 + b254 + b259 =G= 1;

e698..    b245 + b269 =G= 1;

e699..    b245 + b264 =G= 1;

e700..    b245 + b259 =G= 1;

e701..    b244 + b265 =G= 1;

e702..    b244 + b263 + b266 =G= 1;

e703..    b244 + b262 + b267 =G= 1;

e704..    b244 + b261 + b268 =G= 1;

e705..    b244 + b260 =G= 1;

e706..    b244 + b259 + b266 =G= 1;

e707..    b244 + b259 + b264 + b267 =G= 1;

e708..    b244 + b259 + b263 + b268 =G= 1;

e709..    b244 + b259 + b262 + b269 =G= 1;

e710..    b244 + b259 + b261 =G= 1;

e711..    b244 + b258 + b268 =G= 1;

e712..    b244 + b258 + b264 + b269 =G= 1;

e713..    b244 + b258 + b263 =G= 1;

e714..    b244 + b257 =G= 1;

e715..    b244 + b256 + b265 =G= 1;

e716..    b244 + b256 + b264 + b266 =G= 1;

e717..    b244 + b256 + b263 + b267 =G= 1;

e718..    b244 + b256 + b262 + b268 =G= 1;

e719..    b244 + b256 + b261 + b269 =G= 1;

e720..    b244 + b256 + b260 =G= 1;

e721..    b244 + b256 + b259 + b267 =G= 1;

e722..    b244 + b256 + b259 + b264 + b268 =G= 1;

e723..    b244 + b256 + b259 + b263 + b269 =G= 1;

e724..    b244 + b256 + b259 + b262 =G= 1;

e725..    b244 + b256 + b258 + b269 =G= 1;

e726..    b244 + b256 + b258 + b264 =G= 1;

e727..    b244 + b256 + b257 =G= 1;

e728..    b244 + b255 + b266 =G= 1;

e729..    b244 + b255 + b263 + b267 =G= 1;

e730..    b244 + b255 + b262 + b269 =G= 1;

e731..    b244 + b255 + b261 =G= 1;

e732..    b244 + b255 + b259 + b267 =G= 1;

e733..    b244 + b255 + b259 + b264 + b268 =G= 1;

e734..    b244 + b255 + b259 + b263 + b269 =G= 1;

e735..    b244 + b255 + b259 + b262 =G= 1;

e736..    b244 + b255 + b258 + b269 =G= 1;

e737..    b244 + b255 + b258 + b264 =G= 1;

e738..    b244 + b255 + b257 =G= 1;

e739..    b244 + b254 + b266 =G= 1;

e740..    b244 + b254 + b264 + b267 =G= 1;

e741..    b244 + b254 + b263 + b268 =G= 1;

e742..    b244 + b254 + b262 + b269 =G= 1;

e743..    b244 + b254 + b261 =G= 1;

e744..    b244 + b254 + b259 + b268 =G= 1;

e745..    b244 + b254 + b259 + b264 + b269 =G= 1;

e746..    b244 + b254 + b259 + b263 =G= 1;

e747..    b244 + b254 + b258 =G= 1;

e748..    b244 + b253 + b267 =G= 1;

e749..    b244 + b253 + b264 + b268 =G= 1;

e750..    b244 + b253 + b263 + b269 =G= 1;

e751..    b244 + b253 + b262 =G= 1;

e752..    b244 + b253 + b259 + b269 =G= 1;

e753..    b244 + b253 + b259 + b264 =G= 1;

e754..    b244 + b253 + b258 =G= 1;

e755..    b244 + b252 + b268 =G= 1;

e756..    b244 + b252 + b264 + b269 =G= 1;

e757..    b244 + b252 + b263 =G= 1;

e758..    b244 + b252 + b259 =G= 1;

e759..    b244 + b250 + b265 =G= 1;

e760..    b244 + b250 + b264 + b266 =G= 1;

e761..    b244 + b250 + b263 + b267 =G= 1;

e762..    b244 + b250 + b262 + b268 =G= 1;

e763..    b244 + b250 + b261 + b269 =G= 1;

e764..    b244 + b250 + b260 =G= 1;

e765..    b244 + b250 + b259 + b267 =G= 1;

e766..    b244 + b250 + b259 + b264 + b268 =G= 1;

e767..    b244 + b250 + b259 + b263 + b269 =G= 1;

e768..    b244 + b250 + b259 + b262 =G= 1;

e769..    b244 + b250 + b258 + b269 =G= 1;

e770..    b244 + b250 + b258 + b264 =G= 1;

e771..    b244 + b250 + b257 =G= 1;

e772..    b244 + b250 + b256 + b266 =G= 1;

e773..    b244 + b250 + b256 + b264 + b267 =G= 1;

e774..    b244 + b250 + b256 + b263 + b268 =G= 1;

e775..    b244 + b250 + b256 + b262 + b269 =G= 1;

e776..    b244 + b250 + b256 + b261 =G= 1;

e777..    b244 + b250 + b256 + b259 + b268 =G= 1;

e778..    b244 + b250 + b256 + b259 + b264 + b269 =G= 1;

e779..    b244 + b250 + b256 + b259 + b263 =G= 1;

e780..    b244 + b250 + b256 + b258 =G= 1;

e781..    b244 + b250 + b255 + b266 =G= 1;

e782..    b244 + b250 + b255 + b264 + b267 =G= 1;

e783..    b244 + b250 + b255 + b263 + b268 =G= 1;

e784..    b244 + b250 + b255 + b262 + b269 =G= 1;

e785..    b244 + b250 + b255 + b261 =G= 1;

e786..    b244 + b250 + b255 + b259 + b268 =G= 1;

e787..    b244 + b250 + b255 + b259 + b264 + b269 =G= 1;

e788..    b244 + b250 + b255 + b259 + b263 =G= 1;

e789..    b244 + b250 + b255 + b258 =G= 1;

e790..    b244 + b250 + b254 + b267 =G= 1;

e791..    b244 + b250 + b254 + b264 + b268 =G= 1;

e792..    b244 + b250 + b254 + b263 + b269 =G= 1;

e793..    b244 + b250 + b254 + b262 =G= 1;

e794..    b244 + b250 + b254 + b259 + b269 =G= 1;

e795..    b244 + b250 + b254 + b259 + b264 =G= 1;

e796..    b244 + b250 + b254 + b258 =G= 1;

e797..    b244 + b250 + b253 + b268 =G= 1;

e798..    b244 + b250 + b253 + b264 + b269 =G= 1;

e799..    b244 + b250 + b253 + b263 =G= 1;

e800..    b244 + b250 + b253 + b259 =G= 1;

e801..    b244 + b250 + b252 + b269 =G= 1;

e802..    b244 + b250 + b252 + b264 =G= 1;

e803..    b244 + b250 + b252 + b259 =G= 1;

e804..    b244 + b249 + b265 =G= 1;

e805..    b244 + b249 + b264 + b266 =G= 1;

e806..    b244 + b249 + b263 + b267 =G= 1;

e807..    b244 + b249 + b262 + b269 =G= 1;

e808..    b244 + b249 + b261 =G= 1;

e809..    b244 + b249 + b259 + b267 =G= 1;

e810..    b244 + b249 + b259 + b264 + b268 =G= 1;

e811..    b244 + b249 + b259 + b263 + b269 =G= 1;

e812..    b244 + b249 + b259 + b262 =G= 1;

e813..    b244 + b249 + b258 =G= 1;

e814..    b244 + b249 + b256 + b266 =G= 1;

e815..    b244 + b249 + b256 + b264 + b267 =G= 1;

e816..    b244 + b249 + b256 + b263 + b268 =G= 1;

e817..    b244 + b249 + b256 + b262 + b269 =G= 1;

e818..    b244 + b249 + b256 + b261 =G= 1;

e819..    b244 + b249 + b256 + b259 + b268 =G= 1;

e820..    b244 + b249 + b256 + b259 + b264 + b269 =G= 1;

e821..    b244 + b249 + b256 + b259 + b263 =G= 1;

e822..    b244 + b249 + b256 + b258 =G= 1;

e823..    b244 + b249 + b255 + b267 =G= 1;

e824..    b244 + b249 + b255 + b264 + b268 =G= 1;

e825..    b244 + b249 + b255 + b263 + b269 =G= 1;

e826..    b244 + b249 + b255 + b262 =G= 1;

e827..    b244 + b249 + b255 + b259 + b269 =G= 1;

e828..    b244 + b249 + b255 + b259 + b264 =G= 1;

e829..    b244 + b249 + b255 + b258 =G= 1;

e830..    b244 + b249 + b254 + b268 =G= 1;

e831..    b244 + b249 + b254 + b264 + b269 =G= 1;

e832..    b244 + b249 + b254 + b263 =G= 1;

e833..    b244 + b249 + b254 + b259 =G= 1;

e834..    b244 + b249 + b253 + b269 =G= 1;

e835..    b244 + b249 + b253 + b264 =G= 1;

e836..    b244 + b249 + b253 + b259 =G= 1;

e837..    b244 + b248 + b266 =G= 1;

e838..    b244 + b248 + b264 + b267 =G= 1;

e839..    b244 + b248 + b263 + b268 =G= 1;

e840..    b244 + b248 + b262 + b269 =G= 1;

e841..    b244 + b248 + b261 =G= 1;

e842..    b244 + b248 + b259 + b268 =G= 1;

e843..    b244 + b248 + b259 + b264 + b269 =G= 1;

e844..    b244 + b248 + b259 + b263 =G= 1;

e845..    b244 + b248 + b258 =G= 1;

e846..    b244 + b248 + b256 + b267 =G= 1;

e847..    b244 + b248 + b256 + b264 + b268 =G= 1;

e848..    b244 + b248 + b256 + b263 + b269 =G= 1;

e849..    b244 + b248 + b256 + b262 =G= 1;

e850..    b244 + b248 + b256 + b259 + b269 =G= 1;

e851..    b244 + b248 + b256 + b259 + b264 =G= 1;

e852..    b244 + b248 + b256 + b258 =G= 1;

e853..    b244 + b248 + b255 + b268 =G= 1;

e854..    b244 + b248 + b255 + b264 + b269 =G= 1;

e855..    b244 + b248 + b255 + b263 =G= 1;

e856..    b244 + b248 + b255 + b259 =G= 1;

e857..    b244 + b248 + b254 + b269 =G= 1;

e858..    b244 + b248 + b254 + b264 =G= 1;

e859..    b244 + b248 + b254 + b259 =G= 1;

e860..    b244 + b248 + b253 + b269 =G= 1;

e861..    b244 + b248 + b253 + b264 =G= 1;

e862..    b244 + b248 + b253 + b259 =G= 1;

e863..    b244 + b247 + b267 =G= 1;

e864..    b244 + b247 + b264 + b268 =G= 1;

e865..    b244 + b247 + b263 + b269 =G= 1;

e866..    b244 + b247 + b262 =G= 1;

e867..    b244 + b247 + b259 + b269 =G= 1;

e868..    b244 + b247 + b259 + b264 =G= 1;

e869..    b244 + b247 + b258 =G= 1;

e870..    b244 + b247 + b256 + b268 =G= 1;

e871..    b244 + b247 + b256 + b264 + b269 =G= 1;

e872..    b244 + b247 + b256 + b263 =G= 1;

e873..    b244 + b247 + b256 + b259 =G= 1;

e874..    b244 + b247 + b255 + b269 =G= 1;

e875..    b244 + b247 + b255 + b264 =G= 1;

e876..    b244 + b247 + b255 + b259 =G= 1;

e877..    b244 + b246 + b268 =G= 1;

e878..    b244 + b246 + b264 + b269 =G= 1;

e879..    b244 + b246 + b263 =G= 1;

e880..    b244 + b246 + b259 =G= 1;

e881..    b244 + b246 + b256 + b269 =G= 1;

e882..    b244 + b246 + b256 + b264 =G= 1;

e883..    b244 + b246 + b256 + b259 =G= 1;

e884..    b243 + b265 =G= 1;

e885..    b243 + b264 + b266 =G= 1;

e886..    b243 + b263 + b267 =G= 1;

e887..    b243 + b262 + b268 =G= 1;

e888..    b243 + b261 + b269 =G= 1;

e889..    b243 + b260 =G= 1;

e890..    b243 + b259 + b267 =G= 1;

e891..    b243 + b259 + b264 + b268 =G= 1;

e892..    b243 + b259 + b263 + b269 =G= 1;

e893..    b243 + b259 + b262 =G= 1;

e894..    b243 + b258 + b269 =G= 1;

e895..    b243 + b258 + b264 =G= 1;

e896..    b243 + b257 =G= 1;

e897..    b243 + b256 + b266 =G= 1;

e898..    b243 + b256 + b264 + b267 =G= 1;

e899..    b243 + b256 + b263 + b268 =G= 1;

e900..    b243 + b256 + b262 + b269 =G= 1;

e901..    b243 + b256 + b261 =G= 1;

e902..    b243 + b256 + b259 + b268 =G= 1;

e903..    b243 + b256 + b259 + b264 + b269 =G= 1;

e904..    b243 + b256 + b259 + b263 =G= 1;

e905..    b243 + b256 + b258 =G= 1;

e906..    b243 + b255 + b267 =G= 1;

e907..    b243 + b255 + b264 + b268 =G= 1;

e908..    b243 + b255 + b263 + b269 =G= 1;

e909..    b243 + b255 + b262 =G= 1;

e910..    b243 + b255 + b259 + b269 =G= 1;

e911..    b243 + b255 + b259 + b264 =G= 1;

e912..    b243 + b255 + b258 =G= 1;

e913..    b243 + b254 + b268 =G= 1;

e914..    b243 + b254 + b264 + b269 =G= 1;

e915..    b243 + b254 + b263 =G= 1;

e916..    b243 + b254 + b259 =G= 1;

e917..    b243 + b253 + b269 =G= 1;

e918..    b243 + b253 + b264 =G= 1;

e919..    b243 + b253 + b259 =G= 1;

e920..    b243 + b252 + b269 =G= 1;

e921..    b243 + b252 + b264 =G= 1;

e922..    b243 + b252 + b259 =G= 1;

e923..    b243 + b250 + b266 =G= 1;

e924..    b243 + b250 + b264 + b267 =G= 1;

e925..    b243 + b250 + b263 + b268 =G= 1;

e926..    b243 + b250 + b262 + b269 =G= 1;

e927..    b243 + b250 + b261 =G= 1;

e928..    b243 + b250 + b259 + b268 =G= 1;

e929..    b243 + b250 + b259 + b264 + b269 =G= 1;

e930..    b243 + b250 + b259 + b263 =G= 1;

e931..    b243 + b250 + b258 =G= 1;

e932..    b243 + b250 + b256 + b267 =G= 1;

e933..    b243 + b250 + b256 + b264 + b268 =G= 1;

e934..    b243 + b250 + b256 + b263 + b269 =G= 1;

e935..    b243 + b250 + b256 + b262 =G= 1;

e936..    b243 + b250 + b256 + b259 + b269 =G= 1;

e937..    b243 + b250 + b256 + b259 + b264 =G= 1;

e938..    b243 + b250 + b256 + b258 =G= 1;

e939..    b243 + b250 + b255 + b268 =G= 1;

e940..    b243 + b250 + b255 + b264 + b269 =G= 1;

e941..    b243 + b250 + b255 + b263 =G= 1;

e942..    b243 + b250 + b255 + b259 =G= 1;

e943..    b243 + b250 + b254 + b269 =G= 1;

e944..    b243 + b250 + b254 + b264 =G= 1;

e945..    b243 + b250 + b254 + b259 =G= 1;

e946..    b243 + b250 + b253 + b269 =G= 1;

e947..    b243 + b250 + b253 + b264 =G= 1;

e948..    b243 + b250 + b253 + b259 =G= 1;

e949..    b243 + b249 + b267 =G= 1;

e950..    b243 + b249 + b264 + b268 =G= 1;

e951..    b243 + b249 + b263 + b269 =G= 1;

e952..    b243 + b249 + b262 =G= 1;

e953..    b243 + b249 + b259 + b269 =G= 1;

e954..    b243 + b249 + b259 + b264 =G= 1;

e955..    b243 + b249 + b258 =G= 1;

e956..    b243 + b249 + b256 + b268 =G= 1;

e957..    b243 + b249 + b256 + b264 + b269 =G= 1;

e958..    b243 + b249 + b256 + b263 =G= 1;

e959..    b243 + b249 + b256 + b259 =G= 1;

e960..    b243 + b249 + b255 + b269 =G= 1;

e961..    b243 + b249 + b255 + b263 =G= 1;

e962..    b243 + b249 + b255 + b259 =G= 1;

e963..    b243 + b249 + b254 + b269 =G= 1;

e964..    b243 + b249 + b254 + b264 =G= 1;

e965..    b243 + b249 + b254 + b259 =G= 1;

e966..    b243 + b248 + b268 =G= 1;

e967..    b243 + b248 + b264 + b269 =G= 1;

e968..    b243 + b248 + b263 =G= 1;

e969..    b243 + b248 + b259 =G= 1;

e970..    b243 + b248 + b256 + b269 =G= 1;

e971..    b243 + b248 + b256 + b263 =G= 1;

e972..    b243 + b248 + b256 + b259 =G= 1;

e973..    b243 + b248 + b255 + b269 =G= 1;

e974..    b243 + b248 + b255 + b264 =G= 1;

e975..    b243 + b248 + b255 + b259 =G= 1;

e976..    b243 + b247 + b268 =G= 1;

e977..    b243 + b247 + b264 + b269 =G= 1;

e978..    b243 + b247 + b263 =G= 1;

e979..    b243 + b247 + b259 =G= 1;

e980..    b243 + b247 + b256 + b269 =G= 1;

e981..    b243 + b247 + b256 + b264 =G= 1;

e982..    b243 + b247 + b256 + b259 =G= 1;

e983..    b243 + b246 + b269 =G= 1;

e984..    b243 + b246 + b264 =G= 1;

e985..    b243 + b246 + b259 =G= 1;

e986..    b242 + b267 =G= 1;

e987..    b242 + b264 + b268 =G= 1;

e988..    b242 + b263 + b269 =G= 1;

e989..    b242 + b262 =G= 1;

e990..    b242 + b259 + b269 =G= 1;

e991..    b242 + b259 + b264 =G= 1;

e992..    b242 + b258 =G= 1;

e993..    b242 + b256 + b268 =G= 1;

e994..    b242 + b256 + b264 + b269 =G= 1;

e995..    b242 + b256 + b263 =G= 1;

e996..    b242 + b256 + b259 =G= 1;

e997..    b242 + b255 + b268 =G= 1;

e998..    b242 + b255 + b264 + b269 =G= 1;

e999..    b242 + b255 + b263 =G= 1;

e1000..    b242 + b255 + b259 =G= 1;

e1001..    b242 + b254 + b269 =G= 1;

e1002..    b242 + b254 + b264 =G= 1;

e1003..    b242 + b254 + b259 =G= 1;

e1004..    b242 + b250 + b268 =G= 1;

e1005..    b242 + b250 + b264 + b269 =G= 1;

e1006..    b242 + b250 + b263 =G= 1;

e1007..    b242 + b250 + b259 =G= 1;

e1008..    b242 + b250 + b256 + b269 =G= 1;

e1009..    b242 + b250 + b256 + b263 =G= 1;

e1010..    b242 + b250 + b256 + b259 =G= 1;

e1011..    b242 + b250 + b255 + b269 =G= 1;

e1012..    b242 + b250 + b255 + b264 =G= 1;

e1013..    b242 + b250 + b255 + b259 =G= 1;

e1014..    b242 + b249 + b268 =G= 1;

e1015..    b242 + b249 + b264 + b269 =G= 1;

e1016..    b242 + b249 + b263 =G= 1;

e1017..    b242 + b249 + b259 =G= 1;

e1018..    b242 + b249 + b256 + b269 =G= 1;

e1019..    b242 + b249 + b256 + b264 =G= 1;

e1020..    b242 + b249 + b256 + b259 =G= 1;

e1021..    b242 + b248 + b269 =G= 1;

e1022..    b242 + b248 + b264 =G= 1;

e1023..    b242 + b248 + b259 =G= 1;

e1024..    b241 + b269 =G= 1;

e1025..    b241 + b264 =G= 1;

e1026..    b241 + b259 =G= 1;

e1027..    b240 + b265 =G= 1;

e1028..    b240 + b264 + b266 =G= 1;

e1029..    b240 + b263 + b267 =G= 1;

e1030..    b240 + b262 + b268 =G= 1;

e1031..    b240 + b261 + b269 =G= 1;

e1032..    b240 + b260 =G= 1;

e1033..    b240 + b259 + b267 =G= 1;

e1034..    b240 + b259 + b264 + b268 =G= 1;

e1035..    b240 + b259 + b263 + b269 =G= 1;

e1036..    b240 + b259 + b262 =G= 1;

e1037..    b240 + b258 + b269 =G= 1;

e1038..    b240 + b258 + b264 =G= 1;

e1039..    b240 + b257 =G= 1;

e1040..    b240 + b256 + b266 =G= 1;

e1041..    b240 + b256 + b264 + b267 =G= 1;

e1042..    b240 + b256 + b262 + b269 =G= 1;

e1043..    b240 + b256 + b261 =G= 1;

e1044..    b240 + b256 + b259 + b267 =G= 1;

e1045..    b240 + b256 + b259 + b264 + b268 =G= 1;

e1046..    b240 + b256 + b259 + b263 + b269 =G= 1;

e1047..    b240 + b256 + b259 + b262 =G= 1;

e1048..    b240 + b256 + b258 =G= 1;

e1049..    b240 + b255 + b266 =G= 1;

e1050..    b240 + b255 + b264 + b267 =G= 1;

e1051..    b240 + b255 + b263 + b268 =G= 1;

e1052..    b240 + b255 + b262 + b269 =G= 1;

e1053..    b240 + b255 + b261 =G= 1;

e1054..    b240 + b255 + b259 + b268 =G= 1;

e1055..    b240 + b255 + b259 + b264 + b269 =G= 1;

e1056..    b240 + b255 + b259 + b263 =G= 1;

e1057..    b240 + b255 + b258 =G= 1;

e1058..    b240 + b254 + b267 =G= 1;

e1059..    b240 + b254 + b264 + b268 =G= 1;

e1060..    b240 + b254 + b263 + b269 =G= 1;

e1061..    b240 + b254 + b262 =G= 1;

e1062..    b240 + b254 + b259 + b269 =G= 1;

e1063..    b240 + b254 + b259 + b264 =G= 1;

e1064..    b240 + b254 + b258 =G= 1;

e1065..    b240 + b253 + b268 =G= 1;

e1066..    b240 + b253 + b264 + b269 =G= 1;

e1067..    b240 + b253 + b263 =G= 1;

e1068..    b240 + b253 + b259 =G= 1;

e1069..    b240 + b252 + b269 =G= 1;

e1070..    b240 + b252 + b264 =G= 1;

e1071..    b240 + b252 + b259 =G= 1;

e1072..    b240 + b250 + b266 =G= 1;

e1073..    b240 + b250 + b263 + b267 =G= 1;

e1074..    b240 + b250 + b262 + b268 =G= 1;

e1075..    b240 + b250 + b261 + b269 =G= 1;

e1076..    b240 + b250 + b260 =G= 1;

e1077..    b240 + b250 + b259 + b267 =G= 1;

e1078..    b240 + b250 + b259 + b264 + b268 =G= 1;

e1079..    b240 + b250 + b259 + b263 =G= 1;

e1080..    b240 + b250 + b258 =G= 1;

e1081..    b240 + b250 + b256 + b266 =G= 1;

e1082..    b240 + b250 + b256 + b264 + b267 =G= 1;

e1083..    b240 + b250 + b256 + b263 + b268 =G= 1;

e1084..    b240 + b250 + b256 + b262 + b269 =G= 1;

e1085..    b240 + b250 + b256 + b261 =G= 1;

e1086..    b240 + b250 + b256 + b259 + b268 =G= 1;

e1087..    b240 + b250 + b256 + b259 + b264 + b269 =G= 1;

e1088..    b240 + b250 + b256 + b259 + b263 =G= 1;

e1089..    b240 + b250 + b256 + b258 =G= 1;

e1090..    b240 + b250 + b255 + b267 =G= 1;

e1091..    b240 + b250 + b255 + b264 + b268 =G= 1;

e1092..    b240 + b250 + b255 + b263 + b269 =G= 1;

e1093..    b240 + b250 + b255 + b262 =G= 1;

e1094..    b240 + b250 + b255 + b259 + b269 =G= 1;

e1095..    b240 + b250 + b255 + b259 + b264 =G= 1;

e1096..    b240 + b250 + b255 + b258 =G= 1;

e1097..    b240 + b250 + b254 + b268 =G= 1;

e1098..    b240 + b250 + b254 + b264 + b269 =G= 1;

e1099..    b240 + b250 + b254 + b263 =G= 1;

e1100..    b240 + b250 + b254 + b259 =G= 1;

e1101..    b240 + b250 + b253 + b269 =G= 1;

e1102..    b240 + b250 + b253 + b264 =G= 1;

e1103..    b240 + b250 + b253 + b259 =G= 1;

e1104..    b240 + b249 + b266 =G= 1;

e1105..    b240 + b249 + b264 + b267 =G= 1;

e1106..    b240 + b249 + b263 + b268 =G= 1;

e1107..    b240 + b249 + b262 + b269 =G= 1;

e1108..    b240 + b249 + b261 =G= 1;

e1109..    b240 + b249 + b259 + b268 =G= 1;

e1110..    b240 + b249 + b259 + b264 + b269 =G= 1;

e1111..    b240 + b249 + b259 + b263 =G= 1;

e1112..    b240 + b249 + b258 =G= 1;

e1113..    b240 + b249 + b256 + b267 =G= 1;

e1114..    b240 + b249 + b256 + b264 + b268 =G= 1;

e1115..    b240 + b249 + b256 + b263 + b269 =G= 1;

e1116..    b240 + b249 + b256 + b262 =G= 1;

e1117..    b240 + b249 + b256 + b259 + b269 =G= 1;

e1118..    b240 + b249 + b256 + b259 + b264 =G= 1;

e1119..    b240 + b249 + b256 + b258 =G= 1;

e1120..    b240 + b249 + b255 + b268 =G= 1;

e1121..    b240 + b249 + b255 + b264 + b269 =G= 1;

e1122..    b240 + b249 + b255 + b263 =G= 1;

e1123..    b240 + b249 + b255 + b259 =G= 1;

e1124..    b240 + b249 + b254 + b269 =G= 1;

e1125..    b240 + b249 + b254 + b264 =G= 1;

e1126..    b240 + b249 + b254 + b259 =G= 1;

e1127..    b240 + b249 + b253 + b269 =G= 1;

e1128..    b240 + b249 + b253 + b264 =G= 1;

e1129..    b240 + b249 + b253 + b259 =G= 1;

e1130..    b240 + b248 + b267 =G= 1;

e1131..    b240 + b248 + b264 + b268 =G= 1;

e1132..    b240 + b248 + b263 + b269 =G= 1;

e1133..    b240 + b248 + b262 =G= 1;

e1134..    b240 + b248 + b259 + b269 =G= 1;

e1135..    b240 + b248 + b259 + b264 =G= 1;

e1136..    b240 + b248 + b258 =G= 1;

e1137..    b240 + b248 + b256 + b268 =G= 1;

e1138..    b240 + b248 + b256 + b264 + b269 =G= 1;

e1139..    b240 + b248 + b256 + b263 =G= 1;

e1140..    b240 + b248 + b256 + b259 =G= 1;

e1141..    b240 + b248 + b255 + b269 =G= 1;

e1142..    b240 + b248 + b255 + b264 =G= 1;

e1143..    b240 + b248 + b255 + b259 =G= 1;

e1144..    b240 + b248 + b254 + b269 =G= 1;

e1145..    b240 + b248 + b254 + b264 =G= 1;

e1146..    b240 + b248 + b254 + b259 =G= 1;

e1147..    b240 + b247 + b268 =G= 1;

e1148..    b240 + b247 + b264 + b269 =G= 1;

e1149..    b240 + b247 + b263 =G= 1;

e1150..    b240 + b247 + b259 =G= 1;

e1151..    b240 + b247 + b256 + b269 =G= 1;

e1152..    b240 + b247 + b256 + b264 =G= 1;

e1153..    b240 + b247 + b256 + b259 =G= 1;

e1154..    b240 + b247 + b255 + b269 =G= 1;

e1155..    b240 + b247 + b255 + b264 =G= 1;

e1156..    b240 + b247 + b255 + b259 =G= 1;

e1157..    b240 + b246 + b269 =G= 1;

e1158..    b240 + b246 + b264 =G= 1;

e1159..    b240 + b246 + b259 =G= 1;

e1160..    b240 + b244 + b266 =G= 1;

e1161..    b240 + b244 + b264 + b267 =G= 1;

e1162..    b240 + b244 + b263 + b268 =G= 1;

e1163..    b240 + b244 + b262 + b269 =G= 1;

e1164..    b240 + b244 + b261 =G= 1;

e1165..    b240 + b244 + b259 + b268 =G= 1;

e1166..    b240 + b244 + b259 + b264 + b269 =G= 1;

e1167..    b240 + b244 + b259 + b263 =G= 1;

e1168..    b240 + b244 + b258 =G= 1;

e1169..    b240 + b244 + b256 + b267 =G= 1;

e1170..    b240 + b244 + b256 + b264 + b268 =G= 1;

e1171..    b240 + b244 + b256 + b263 + b269 =G= 1;

e1172..    b240 + b244 + b256 + b262 =G= 1;

e1173..    b240 + b244 + b256 + b259 + b269 =G= 1;

e1174..    b240 + b244 + b256 + b259 + b264 =G= 1;

e1175..    b240 + b244 + b256 + b258 =G= 1;

e1176..    b240 + b244 + b255 + b267 =G= 1;

e1177..    b240 + b244 + b255 + b264 + b268 =G= 1;

e1178..    b240 + b244 + b255 + b263 + b269 =G= 1;

e1179..    b240 + b244 + b255 + b262 =G= 1;

e1180..    b240 + b244 + b255 + b259 + b269 =G= 1;

e1181..    b240 + b244 + b255 + b259 + b264 =G= 1;

e1182..    b240 + b244 + b255 + b258 =G= 1;

e1183..    b240 + b244 + b254 + b268 =G= 1;

e1184..    b240 + b244 + b254 + b264 + b269 =G= 1;

e1185..    b240 + b244 + b254 + b263 =G= 1;

e1186..    b240 + b244 + b254 + b259 =G= 1;

e1187..    b240 + b244 + b253 + b269 =G= 1;

e1188..    b240 + b244 + b253 + b264 =G= 1;

e1189..    b240 + b244 + b253 + b259 =G= 1;

e1190..    b240 + b244 + b250 + b267 =G= 1;

e1191..    b240 + b244 + b250 + b264 + b268 =G= 1;

e1192..    b240 + b244 + b250 + b263 + b269 =G= 1;

e1193..    b240 + b244 + b250 + b262 =G= 1;

e1194..    b240 + b244 + b250 + b259 + b269 =G= 1;

e1195..    b240 + b244 + b250 + b259 + b264 =G= 1;

e1196..    b240 + b244 + b250 + b258 =G= 1;

e1197..    b240 + b244 + b250 + b256 + b268 =G= 1;

e1198..    b240 + b244 + b250 + b256 + b264 + b269 =G= 1;

e1199..    b240 + b244 + b250 + b256 + b263 =G= 1;

e1200..    b240 + b244 + b250 + b256 + b259 =G= 1;

e1201..    b240 + b244 + b250 + b255 + b268 =G= 1;

e1202..    b240 + b244 + b250 + b255 + b264 + b269 =G= 1;

e1203..    b240 + b244 + b250 + b255 + b263 =G= 1;

e1204..    b240 + b244 + b250 + b255 + b259 =G= 1;

e1205..    b240 + b244 + b250 + b254 + b269 =G= 1;

e1206..    b240 + b244 + b250 + b254 + b264 =G= 1;

e1207..    b240 + b244 + b250 + b254 + b259 =G= 1;

e1208..    b240 + b244 + b249 + b267 =G= 1;

e1209..    b240 + b244 + b249 + b264 + b268 =G= 1;

e1210..    b240 + b244 + b249 + b263 + b269 =G= 1;

e1211..    b240 + b244 + b249 + b262 =G= 1;

e1212..    b240 + b244 + b249 + b259 + b269 =G= 1;

e1213..    b240 + b244 + b249 + b259 + b264 =G= 1;

e1214..    b240 + b244 + b249 + b258 =G= 1;

e1215..    b240 + b244 + b249 + b256 + b268 =G= 1;

e1216..    b240 + b244 + b249 + b256 + b264 + b269 =G= 1;

e1217..    b240 + b244 + b249 + b256 + b263 =G= 1;

e1218..    b240 + b244 + b249 + b256 + b259 =G= 1;

e1219..    b240 + b244 + b249 + b255 + b269 =G= 1;

e1220..    b240 + b244 + b249 + b255 + b264 =G= 1;

e1221..    b240 + b244 + b249 + b255 + b259 =G= 1;

e1222..    b240 + b244 + b248 + b268 =G= 1;

e1223..    b240 + b244 + b248 + b264 + b269 =G= 1;

e1224..    b240 + b244 + b248 + b263 =G= 1;

e1225..    b240 + b244 + b248 + b259 =G= 1;

e1226..    b240 + b244 + b248 + b256 + b269 =G= 1;

e1227..    b240 + b244 + b248 + b256 + b264 =G= 1;

e1228..    b240 + b244 + b248 + b256 + b259 =G= 1;

e1229..    b240 + b244 + b247 + b269 =G= 1;

e1230..    b240 + b244 + b247 + b264 =G= 1;

e1231..    b240 + b244 + b247 + b259 =G= 1;

e1232..    b240 + b243 + b267 =G= 1;

e1233..    b240 + b243 + b264 + b268 =G= 1;

e1234..    b240 + b243 + b263 + b269 =G= 1;

e1235..    b240 + b243 + b262 =G= 1;

e1236..    b240 + b243 + b259 + b269 =G= 1;

e1237..    b240 + b243 + b259 + b264 =G= 1;

e1238..    b240 + b243 + b258 =G= 1;

e1239..    b240 + b243 + b256 + b268 =G= 1;

e1240..    b240 + b243 + b256 + b264 + b269 =G= 1;

e1241..    b240 + b243 + b256 + b263 =G= 1;

e1242..    b240 + b243 + b256 + b259 =G= 1;

e1243..    b240 + b243 + b255 + b269 =G= 1;

e1244..    b240 + b243 + b255 + b264 =G= 1;

e1245..    b240 + b243 + b255 + b259 =G= 1;

e1246..    b240 + b243 + b250 + b268 =G= 1;

e1247..    b240 + b243 + b250 + b264 + b269 =G= 1;

e1248..    b240 + b243 + b250 + b263 =G= 1;

e1249..    b240 + b243 + b250 + b259 =G= 1;

e1250..    b240 + b243 + b250 + b256 + b269 =G= 1;

e1251..    b240 + b243 + b250 + b256 + b264 =G= 1;

e1252..    b240 + b243 + b250 + b256 + b259 =G= 1;

e1253..    b240 + b243 + b249 + b269 =G= 1;

e1254..    b240 + b243 + b249 + b264 =G= 1;

e1255..    b240 + b243 + b249 + b259 =G= 1;

e1256..    b240 + b242 + b269 =G= 1;

e1257..    b240 + b242 + b264 =G= 1;

e1258..    b240 + b242 + b259 =G= 1;

e1259..    b239 + b267 =G= 1;

e1260..    b239 + b264 + b268 =G= 1;

e1261..    b239 + b263 + b269 =G= 1;

e1262..    b239 + b262 =G= 1;

e1263..    b239 + b259 + b269 =G= 1;

e1264..    b239 + b259 + b264 =G= 1;

e1265..    b239 + b258 =G= 1;

e1266..    b239 + b256 + b268 =G= 1;

e1267..    b239 + b256 + b264 + b269 =G= 1;

e1268..    b239 + b256 + b263 =G= 1;

e1269..    b239 + b256 + b259 =G= 1;

e1270..    b239 + b255 + b268 =G= 1;

e1271..    b239 + b255 + b264 + b269 =G= 1;

e1272..    b239 + b255 + b263 =G= 1;

e1273..    b239 + b255 + b259 =G= 1;

e1274..    b239 + b254 + b269 =G= 1;

e1275..    b239 + b254 + b264 =G= 1;

e1276..    b239 + b254 + b259 =G= 1;

e1277..    b239 + b250 + b268 =G= 1;

e1278..    b239 + b250 + b264 + b269 =G= 1;

e1279..    b239 + b250 + b263 =G= 1;

e1280..    b239 + b250 + b259 =G= 1;

e1281..    b239 + b250 + b256 + b269 =G= 1;

e1282..    b239 + b250 + b256 + b263 =G= 1;

e1283..    b239 + b250 + b256 + b259 =G= 1;

e1284..    b239 + b250 + b255 + b269 =G= 1;

e1285..    b239 + b250 + b255 + b264 =G= 1;

e1286..    b239 + b250 + b255 + b259 =G= 1;

e1287..    b239 + b249 + b268 =G= 1;

e1288..    b239 + b249 + b264 + b269 =G= 1;

e1289..    b239 + b249 + b263 =G= 1;

e1290..    b239 + b249 + b259 =G= 1;

e1291..    b239 + b249 + b256 + b269 =G= 1;

e1292..    b239 + b249 + b256 + b264 =G= 1;

e1293..    b239 + b249 + b256 + b259 =G= 1;

e1294..    b239 + b248 + b269 =G= 1;

e1295..    b239 + b248 + b264 =G= 1;

e1296..    b239 + b248 + b259 =G= 1;

e1297..    b239 + b244 + b268 =G= 1;

e1298..    b239 + b244 + b264 + b269 =G= 1;

e1299..    b239 + b244 + b263 =G= 1;

e1300..    b239 + b244 + b259 =G= 1;

e1301..    b239 + b244 + b256 + b269 =G= 1;

e1302..    b239 + b244 + b256 + b264 =G= 1;

e1303..    b239 + b244 + b256 + b259 =G= 1;

e1304..    b239 + b244 + b250 + b269 =G= 1;

e1305..    b239 + b244 + b250 + b264 =G= 1;

e1306..    b239 + b244 + b250 + b259 =G= 1;

e1307..    b239 + b243 + b269 =G= 1;

e1308..    b239 + b243 + b264 =G= 1;

e1309..    b239 + b243 + b259 =G= 1;

e1310..    b238 + b269 =G= 1;

e1311..    b238 + b264 =G= 1;

e1312..    b238 + b259 =G= 1;

e1313..    b237 + b265 =G= 1;

e1314..    b237 + b264 + b266 =G= 1;

e1315..    b237 + b263 + b267 =G= 1;

e1316..    b237 + b262 + b268 =G= 1;

e1317..    b237 + b261 + b269 =G= 1;

e1318..    b237 + b260 =G= 1;

e1319..    b237 + b259 + b267 =G= 1;

e1320..    b237 + b259 + b264 + b268 =G= 1;

e1321..    b237 + b259 + b263 + b269 =G= 1;

e1322..    b237 + b259 + b262 =G= 1;

e1323..    b237 + b258 + b269 =G= 1;

e1324..    b237 + b258 + b264 =G= 1;

e1325..    b237 + b257 =G= 1;

e1326..    b237 + b256 + b266 =G= 1;

e1327..    b237 + b256 + b264 + b267 =G= 1;

e1328..    b237 + b256 + b263 + b268 =G= 1;

e1329..    b237 + b256 + b262 + b269 =G= 1;

e1330..    b237 + b256 + b261 =G= 1;

e1331..    b237 + b256 + b259 + b268 =G= 1;

e1332..    b237 + b256 + b259 + b264 + b269 =G= 1;

e1333..    b237 + b256 + b259 + b263 =G= 1;

e1334..    b237 + b256 + b258 =G= 1;

e1335..    b237 + b255 + b266 =G= 1;

e1336..    b237 + b255 + b264 + b267 =G= 1;

e1337..    b237 + b255 + b263 + b268 =G= 1;

e1338..    b237 + b255 + b262 =G= 1;

e1339..    b237 + b255 + b259 + b268 =G= 1;

e1340..    b237 + b255 + b259 + b264 + b269 =G= 1;

e1341..    b237 + b255 + b259 + b263 =G= 1;

e1342..    b237 + b255 + b258 =G= 1;

e1343..    b237 + b254 + b267 =G= 1;

e1344..    b237 + b254 + b264 + b268 =G= 1;

e1345..    b237 + b254 + b263 + b269 =G= 1;

e1346..    b237 + b254 + b262 =G= 1;

e1347..    b237 + b254 + b259 + b269 =G= 1;

e1348..    b237 + b254 + b259 + b264 =G= 1;

e1349..    b237 + b254 + b258 =G= 1;

e1350..    b237 + b253 + b268 =G= 1;

e1351..    b237 + b253 + b264 + b269 =G= 1;

e1352..    b237 + b253 + b263 =G= 1;

e1353..    b237 + b253 + b259 =G= 1;

e1354..    b237 + b252 + b269 =G= 1;

e1355..    b237 + b252 + b264 =G= 1;

e1356..    b237 + b252 + b259 =G= 1;

e1357..    b237 + b250 + b266 =G= 1;

e1358..    b237 + b250 + b264 + b267 =G= 1;

e1359..    b237 + b250 + b263 + b268 =G= 1;

e1360..    b237 + b250 + b262 + b269 =G= 1;

e1361..    b237 + b250 + b261 =G= 1;

e1362..    b237 + b250 + b259 + b268 =G= 1;

e1363..    b237 + b250 + b259 + b264 + b269 =G= 1;

e1364..    b237 + b250 + b259 + b263 =G= 1;

e1365..    b237 + b250 + b258 =G= 1;

e1366..    b237 + b250 + b256 + b267 =G= 1;

e1367..    b237 + b250 + b256 + b263 + b269 =G= 1;

e1368..    b237 + b250 + b256 + b262 =G= 1;

e1369..    b237 + b250 + b256 + b259 + b269 =G= 1;

e1370..    b237 + b250 + b256 + b259 + b263 =G= 1;

e1371..    b237 + b250 + b256 + b258 =G= 1;

e1372..    b237 + b250 + b255 + b267 =G= 1;

e1373..    b237 + b250 + b255 + b264 + b268 =G= 1;

e1374..    b237 + b250 + b255 + b263 + b269 =G= 1;

e1375..    b237 + b250 + b255 + b262 =G= 1;

e1376..    b237 + b250 + b255 + b259 + b269 =G= 1;

e1377..    b237 + b250 + b255 + b259 + b264 =G= 1;

e1378..    b237 + b250 + b255 + b258 =G= 1;

e1379..    b237 + b250 + b254 + b268 =G= 1;

e1380..    b237 + b250 + b254 + b264 + b269 =G= 1;

e1381..    b237 + b250 + b254 + b263 =G= 1;

e1382..    b237 + b250 + b254 + b259 =G= 1;

e1383..    b237 + b250 + b253 + b269 =G= 1;

e1384..    b237 + b250 + b253 + b264 =G= 1;

e1385..    b237 + b250 + b253 + b259 =G= 1;

e1386..    b237 + b249 + b266 =G= 1;

e1387..    b237 + b249 + b264 + b267 =G= 1;

e1388..    b237 + b249 + b263 + b268 =G= 1;

e1389..    b237 + b249 + b262 + b269 =G= 1;

e1390..    b237 + b249 + b261 =G= 1;

e1391..    b237 + b249 + b259 + b268 =G= 1;

e1392..    b237 + b249 + b259 + b264 + b269 =G= 1;

e1393..    b237 + b249 + b259 + b263 =G= 1;

e1394..    b237 + b249 + b258 =G= 1;

e1395..    b237 + b249 + b256 + b267 =G= 1;

e1396..    b237 + b249 + b256 + b264 + b268 =G= 1;

e1397..    b237 + b249 + b256 + b263 + b269 =G= 1;

e1398..    b237 + b249 + b256 + b262 =G= 1;

e1399..    b237 + b249 + b256 + b259 + b269 =G= 1;

e1400..    b237 + b249 + b256 + b259 + b264 =G= 1;

e1401..    b237 + b249 + b256 + b258 =G= 1;

e1402..    b237 + b249 + b255 + b268 =G= 1;

e1403..    b237 + b249 + b255 + b264 + b269 =G= 1;

e1404..    b237 + b249 + b255 + b263 =G= 1;

e1405..    b237 + b249 + b255 + b259 =G= 1;

e1406..    b237 + b249 + b254 + b269 =G= 1;

e1407..    b237 + b249 + b254 + b264 =G= 1;

e1408..    b237 + b249 + b254 + b259 =G= 1;

e1409..    b237 + b248 + b267 =G= 1;

e1410..    b237 + b248 + b264 + b268 =G= 1;

e1411..    b237 + b248 + b263 + b269 =G= 1;

e1412..    b237 + b248 + b262 =G= 1;

e1413..    b237 + b248 + b259 + b269 =G= 1;

e1414..    b237 + b248 + b259 + b264 =G= 1;

e1415..    b237 + b248 + b258 =G= 1;

e1416..    b237 + b248 + b256 + b268 =G= 1;

e1417..    b237 + b248 + b256 + b264 + b269 =G= 1;

e1418..    b237 + b248 + b256 + b263 =G= 1;

e1419..    b237 + b248 + b256 + b259 =G= 1;

e1420..    b237 + b248 + b255 + b269 =G= 1;

e1421..    b237 + b248 + b255 + b264 =G= 1;

e1422..    b237 + b248 + b255 + b259 =G= 1;

e1423..    b237 + b247 + b268 =G= 1;

e1424..    b237 + b247 + b264 + b269 =G= 1;

e1425..    b237 + b247 + b263 =G= 1;

e1426..    b237 + b247 + b259 =G= 1;

e1427..    b237 + b247 + b256 + b269 =G= 1;

e1428..    b237 + b247 + b256 + b264 =G= 1;

e1429..    b237 + b247 + b256 + b259 =G= 1;

e1430..    b237 + b246 + b269 =G= 1;

e1431..    b237 + b246 + b264 =G= 1;

e1432..    b237 + b246 + b259 =G= 1;

e1433..    b237 + b244 + b266 =G= 1;

e1434..    b237 + b244 + b264 + b267 =G= 1;

e1435..    b237 + b244 + b263 + b268 =G= 1;

e1436..    b237 + b244 + b262 + b269 =G= 1;

e1437..    b237 + b244 + b261 =G= 1;

e1438..    b237 + b244 + b259 + b268 =G= 1;

e1439..    b237 + b244 + b259 + b264 + b269 =G= 1;

e1440..    b237 + b244 + b259 + b263 =G= 1;

e1441..    b237 + b244 + b258 =G= 1;

e1442..    b237 + b244 + b256 + b267 =G= 1;

e1443..    b237 + b244 + b256 + b264 + b268 =G= 1;

e1444..    b237 + b244 + b256 + b263 + b269 =G= 1;

e1445..    b237 + b244 + b256 + b262 =G= 1;

e1446..    b237 + b244 + b256 + b259 + b269 =G= 1;

e1447..    b237 + b244 + b256 + b259 + b264 =G= 1;

e1448..    b237 + b244 + b256 + b258 =G= 1;

e1449..    b237 + b244 + b255 + b268 =G= 1;

e1450..    b237 + b244 + b255 + b264 + b269 =G= 1;

e1451..    b237 + b244 + b255 + b263 =G= 1;

e1452..    b237 + b244 + b255 + b259 =G= 1;

e1453..    b237 + b244 + b254 + b268 =G= 1;

e1454..    b237 + b244 + b254 + b264 + b269 =G= 1;

e1455..    b237 + b244 + b254 + b263 =G= 1;

e1456..    b237 + b244 + b254 + b259 =G= 1;

e1457..    b237 + b244 + b253 + b269 =G= 1;

e1458..    b237 + b244 + b253 + b264 =G= 1;

e1459..    b237 + b244 + b253 + b259 =G= 1;

e1460..    b237 + b244 + b250 + b267 =G= 1;

e1461..    b237 + b244 + b250 + b264 + b268 =G= 1;

e1462..    b237 + b244 + b250 + b263 + b269 =G= 1;

e1463..    b237 + b244 + b250 + b262 =G= 1;

e1464..    b237 + b244 + b250 + b259 + b269 =G= 1;

e1465..    b237 + b244 + b250 + b259 + b264 =G= 1;

e1466..    b237 + b244 + b250 + b258 =G= 1;

e1467..    b237 + b244 + b250 + b256 + b268 =G= 1;

e1468..    b237 + b244 + b250 + b256 + b264 + b269 =G= 1;

e1469..    b237 + b244 + b250 + b256 + b263 =G= 1;

e1470..    b237 + b244 + b250 + b256 + b259 =G= 1;

e1471..    b237 + b244 + b250 + b255 + b268 =G= 1;

e1472..    b237 + b244 + b250 + b255 + b264 + b269 =G= 1;

e1473..    b237 + b244 + b250 + b255 + b263 =G= 1;

e1474..    b237 + b244 + b250 + b255 + b259 =G= 1;

e1475..    b237 + b244 + b250 + b254 + b269 =G= 1;

e1476..    b237 + b244 + b250 + b254 + b264 =G= 1;

e1477..    b237 + b244 + b250 + b254 + b259 =G= 1;

e1478..    b237 + b244 + b249 + b268 =G= 1;

e1479..    b237 + b244 + b249 + b263 =G= 1;

e1480..    b237 + b244 + b249 + b259 =G= 1;

e1481..    b237 + b244 + b249 + b256 + b268 =G= 1;

e1482..    b237 + b244 + b249 + b256 + b264 + b269 =G= 1;

e1483..    b237 + b244 + b249 + b256 + b263 =G= 1;

e1484..    b237 + b244 + b249 + b256 + b259 =G= 1;

e1485..    b237 + b244 + b249 + b255 + b269 =G= 1;

e1486..    b237 + b244 + b249 + b255 + b264 =G= 1;

e1487..    b237 + b244 + b249 + b255 + b259 =G= 1;

e1488..    b237 + b244 + b248 + b268 =G= 1;

e1489..    b237 + b244 + b248 + b264 + b269 =G= 1;

e1490..    b237 + b244 + b248 + b263 =G= 1;

e1491..    b237 + b244 + b248 + b259 =G= 1;

e1492..    b237 + b244 + b248 + b256 + b269 =G= 1;

e1493..    b237 + b244 + b248 + b256 + b264 =G= 1;

e1494..    b237 + b244 + b248 + b256 + b259 =G= 1;

e1495..    b237 + b244 + b247 + b269 =G= 1;

e1496..    b237 + b244 + b247 + b264 =G= 1;

e1497..    b237 + b244 + b247 + b259 =G= 1;

e1498..    b237 + b243 + b267 =G= 1;

e1499..    b237 + b243 + b264 + b268 =G= 1;

e1500..    b237 + b243 + b263 + b269 =G= 1;

e1501..    b237 + b243 + b262 =G= 1;

e1502..    b237 + b243 + b259 + b269 =G= 1;

e1503..    b237 + b243 + b259 + b264 =G= 1;

e1504..    b237 + b243 + b258 =G= 1;

e1505..    b237 + b243 + b256 + b268 =G= 1;

e1506..    b237 + b243 + b256 + b264 + b269 =G= 1;

e1507..    b237 + b243 + b256 + b263 =G= 1;

e1508..    b237 + b243 + b256 + b259 =G= 1;

e1509..    b237 + b243 + b255 + b269 =G= 1;

e1510..    b237 + b243 + b255 + b264 =G= 1;

e1511..    b237 + b243 + b255 + b259 =G= 1;

e1512..    b237 + b243 + b250 + b268 =G= 1;

e1513..    b237 + b243 + b250 + b264 + b269 =G= 1;

e1514..    b237 + b243 + b250 + b263 =G= 1;

e1515..    b237 + b243 + b250 + b259 =G= 1;

e1516..    b237 + b243 + b250 + b256 + b269 =G= 1;

e1517..    b237 + b243 + b250 + b256 + b264 =G= 1;

e1518..    b237 + b243 + b250 + b256 + b259 =G= 1;

e1519..    b237 + b243 + b249 + b269 =G= 1;

e1520..    b237 + b243 + b249 + b264 =G= 1;

e1521..    b237 + b243 + b249 + b259 =G= 1;

e1522..    b237 + b242 + b269 =G= 1;

e1523..    b237 + b242 + b264 =G= 1;

e1524..    b237 + b242 + b259 =G= 1;

e1525..    b237 + b240 + b267 =G= 1;

e1526..    b237 + b240 + b264 + b268 =G= 1;

e1527..    b237 + b240 + b263 + b269 =G= 1;

e1528..    b237 + b240 + b262 =G= 1;

e1529..    b237 + b240 + b259 + b269 =G= 1;

e1530..    b237 + b240 + b259 + b264 =G= 1;

e1531..    b237 + b240 + b258 =G= 1;

e1532..    b237 + b240 + b256 + b268 =G= 1;

e1533..    b237 + b240 + b256 + b264 + b269 =G= 1;

e1534..    b237 + b240 + b256 + b263 =G= 1;

e1535..    b237 + b240 + b256 + b259 =G= 1;

e1536..    b237 + b240 + b255 + b268 =G= 1;

e1537..    b237 + b240 + b255 + b264 + b269 =G= 1;

e1538..    b237 + b240 + b255 + b263 =G= 1;

e1539..    b237 + b240 + b255 + b259 =G= 1;

e1540..    b237 + b240 + b254 + b269 =G= 1;

e1541..    b237 + b240 + b254 + b264 =G= 1;

e1542..    b237 + b240 + b254 + b259 =G= 1;

e1543..    b237 + b240 + b250 + b268 =G= 1;

e1544..    b237 + b240 + b250 + b264 + b269 =G= 1;

e1545..    b237 + b240 + b250 + b263 =G= 1;

e1546..    b237 + b240 + b250 + b259 =G= 1;

e1547..    b237 + b240 + b250 + b256 + b268 =G= 1;

e1548..    b237 + b240 + b250 + b256 + b264 + b269 =G= 1;

e1549..    b237 + b240 + b250 + b256 + b263 =G= 1;

e1550..    b237 + b240 + b250 + b256 + b259 =G= 1;

e1551..    b237 + b240 + b250 + b255 + b269 =G= 1;

e1552..    b237 + b240 + b250 + b255 + b264 =G= 1;

e1553..    b237 + b240 + b250 + b255 + b259 =G= 1;

e1554..    b237 + b240 + b249 + b268 =G= 1;

e1555..    b237 + b240 + b249 + b264 + b269 =G= 1;

e1556..    b237 + b240 + b249 + b263 =G= 1;

e1557..    b237 + b240 + b249 + b259 =G= 1;

e1558..    b237 + b240 + b249 + b256 + b269 =G= 1;

e1559..    b237 + b240 + b249 + b256 + b264 =G= 1;

e1560..    b237 + b240 + b249 + b256 + b259 =G= 1;

e1561..    b237 + b240 + b248 + b269 =G= 1;

e1562..    b237 + b240 + b248 + b264 =G= 1;

e1563..    b237 + b240 + b248 + b259 =G= 1;

e1564..    b237 + b240 + b244 + b268 =G= 1;

e1565..    b237 + b240 + b244 + b264 + b269 =G= 1;

e1566..    b237 + b240 + b244 + b263 =G= 1;

e1567..    b237 + b240 + b244 + b259 =G= 1;

e1568..    b237 + b240 + b244 + b256 + b269 =G= 1;

e1569..    b237 + b240 + b244 + b256 + b264 =G= 1;

e1570..    b237 + b240 + b244 + b256 + b259 =G= 1;

e1571..    b237 + b240 + b244 + b255 + b269 =G= 1;

e1572..    b237 + b240 + b244 + b255 + b264 =G= 1;

e1573..    b237 + b240 + b244 + b255 + b259 =G= 1;

e1574..    b237 + b240 + b244 + b250 + b269 =G= 1;

e1575..    b237 + b240 + b244 + b250 + b264 =G= 1;

e1576..    b237 + b240 + b244 + b250 + b259 =G= 1;

e1577..    b237 + b240 + b244 + b249 + b269 =G= 1;

e1578..    b237 + b240 + b244 + b249 + b264 =G= 1;

e1579..    b237 + b240 + b244 + b249 + b259 =G= 1;

e1580..    b237 + b240 + b243 + b269 =G= 1;

e1581..    b237 + b240 + b243 + b264 =G= 1;

e1582..    b237 + b240 + b243 + b259 =G= 1;

e1583..    b237 + b239 + b269 =G= 1;

e1584..    b237 + b239 + b264 =G= 1;

e1585..    b237 + b239 + b259 =G= 1;

e1586..    b236 + b267 =G= 1;

e1587..    b236 + b264 + b268 =G= 1;

e1588..    b236 + b263 + b269 =G= 1;

e1589..    b236 + b262 =G= 1;

e1590..    b236 + b259 + b269 =G= 1;

e1591..    b236 + b259 + b264 =G= 1;

e1592..    b236 + b258 =G= 1;

e1593..    b236 + b256 + b268 =G= 1;

e1594..    b236 + b256 + b264 + b269 =G= 1;

e1595..    b236 + b256 + b263 =G= 1;

e1596..    b236 + b256 + b259 =G= 1;

e1597..    b236 + b255 + b268 =G= 1;

e1598..    b236 + b255 + b264 + b269 =G= 1;

e1599..    b236 + b255 + b263 =G= 1;

e1600..    b236 + b255 + b259 =G= 1;

e1601..    b236 + b254 + b269 =G= 1;

e1602..    b236 + b254 + b264 =G= 1;

e1603..    b236 + b254 + b259 =G= 1;

e1604..    b236 + b250 + b268 =G= 1;

e1605..    b236 + b250 + b263 + b269 =G= 1;

e1606..    b236 + b250 + b262 =G= 1;

e1607..    b236 + b250 + b259 =G= 1;

e1608..    b236 + b250 + b256 + b268 =G= 1;

e1609..    b236 + b250 + b256 + b264 + b269 =G= 1;

e1610..    b236 + b250 + b256 + b263 =G= 1;

e1611..    b236 + b250 + b256 + b259 =G= 1;

e1612..    b236 + b250 + b255 + b269 =G= 1;

e1613..    b236 + b250 + b255 + b264 =G= 1;

e1614..    b236 + b250 + b255 + b259 =G= 1;

e1615..    b236 + b249 + b268 =G= 1;

e1616..    b236 + b249 + b264 + b269 =G= 1;

e1617..    b236 + b249 + b263 =G= 1;

e1618..    b236 + b249 + b259 =G= 1;

e1619..    b236 + b249 + b256 + b269 =G= 1;

e1620..    b236 + b249 + b256 + b264 =G= 1;

e1621..    b236 + b249 + b256 + b259 =G= 1;

e1622..    b236 + b248 + b269 =G= 1;

e1623..    b236 + b248 + b264 =G= 1;

e1624..    b236 + b248 + b259 =G= 1;

e1625..    b236 + b244 + b268 =G= 1;

e1626..    b236 + b244 + b264 + b269 =G= 1;

e1627..    b236 + b244 + b263 =G= 1;

e1628..    b236 + b244 + b259 =G= 1;

e1629..    b236 + b244 + b256 + b269 =G= 1;

e1630..    b236 + b244 + b256 + b264 =G= 1;

e1631..    b236 + b244 + b256 + b259 =G= 1;

e1632..    b236 + b244 + b250 + b269 =G= 1;

e1633..    b236 + b244 + b250 + b264 =G= 1;

e1634..    b236 + b244 + b250 + b259 =G= 1;

e1635..    b236 + b244 + b249 + b269 =G= 1;

e1636..    b236 + b244 + b249 + b264 =G= 1;

e1637..    b236 + b244 + b249 + b259 =G= 1;

e1638..    b236 + b243 + b269 =G= 1;

e1639..    b236 + b243 + b264 =G= 1;

e1640..    b236 + b243 + b259 =G= 1;

e1641..    b236 + b240 + b269 =G= 1;

e1642..    b236 + b240 + b264 =G= 1;

e1643..    b236 + b240 + b259 =G= 1;

e1644..    b236 + b240 + b250 + b269 =G= 1;

e1645..    b236 + b240 + b250 + b264 =G= 1;

e1646..    b236 + b240 + b250 + b259 =G= 1;

e1647..    b235 + b269 =G= 1;

e1648..    b235 + b264 =G= 1;

e1649..    b235 + b259 =G= 1;

e1650..    b234 + b265 =G= 1;

e1651..    b234 + b264 + b266 =G= 1;

e1652..    b234 + b263 + b267 =G= 1;

e1653..    b234 + b262 + b268 =G= 1;

e1654..    b234 + b261 + b269 =G= 1;

e1655..    b234 + b260 =G= 1;

e1656..    b234 + b259 + b267 =G= 1;

e1657..    b234 + b259 + b264 + b268 =G= 1;

e1658..    b234 + b259 + b262 =G= 1;

e1659..    b234 + b258 + b269 =G= 1;

e1660..    b234 + b258 + b264 =G= 1;

e1661..    b234 + b257 =G= 1;

e1662..    b234 + b256 + b266 =G= 1;

e1663..    b234 + b256 + b263 + b267 =G= 1;

e1664..    b234 + b256 + b262 + b269 =G= 1;

e1665..    b234 + b256 + b261 =G= 1;

e1666..    b234 + b256 + b259 + b267 =G= 1;

e1667..    b234 + b256 + b259 + b264 + b268 =G= 1;

e1668..    b234 + b256 + b259 + b263 + b269 =G= 1;

e1669..    b234 + b256 + b259 + b262 =G= 1;

e1670..    b234 + b256 + b258 =G= 1;

e1671..    b234 + b255 + b266 =G= 1;

e1672..    b234 + b255 + b264 + b267 =G= 1;

e1673..    b234 + b255 + b263 + b268 =G= 1;

e1674..    b234 + b255 + b262 + b269 =G= 1;

e1675..    b234 + b255 + b261 =G= 1;

e1676..    b234 + b255 + b259 + b268 =G= 1;

e1677..    b234 + b255 + b259 + b264 + b269 =G= 1;

e1678..    b234 + b255 + b259 + b263 =G= 1;

e1679..    b234 + b255 + b258 =G= 1;

e1680..    b234 + b254 + b267 =G= 1;

e1681..    b234 + b254 + b264 + b268 =G= 1;

e1682..    b234 + b254 + b263 + b269 =G= 1;

e1683..    b234 + b254 + b262 =G= 1;

e1684..    b234 + b254 + b259 + b269 =G= 1;

e1685..    b234 + b254 + b259 + b264 =G= 1;

e1686..    b234 + b254 + b258 =G= 1;

e1687..    b234 + b253 + b268 =G= 1;

e1688..    b234 + b253 + b264 + b269 =G= 1;

e1689..    b234 + b253 + b263 =G= 1;

e1690..    b234 + b253 + b259 =G= 1;

e1691..    b234 + b252 + b269 =G= 1;

e1692..    b234 + b252 + b264 =G= 1;

e1693..    b234 + b252 + b259 =G= 1;

e1694..    b234 + b250 + b266 =G= 1;

e1695..    b234 + b250 + b263 + b267 =G= 1;

e1696..    b234 + b250 + b262 + b268 =G= 1;

e1697..    b234 + b250 + b261 =G= 1;

e1698..    b234 + b250 + b259 + b267 =G= 1;

e1699..    b234 + b250 + b259 + b264 + b268 =G= 1;

e1700..    b234 + b250 + b259 + b263 + b269 =G= 1;

e1701..    b234 + b250 + b259 + b262 =G= 1;

e1702..    b234 + b250 + b258 =G= 1;

e1703..    b234 + b250 + b256 + b266 =G= 1;

e1704..    b234 + b250 + b256 + b264 + b267 =G= 1;

e1705..    b234 + b250 + b256 + b263 + b268 =G= 1;

e1706..    b234 + b250 + b256 + b262 + b269 =G= 1;

e1707..    b234 + b250 + b256 + b261 =G= 1;

e1708..    b234 + b250 + b256 + b259 + b268 =G= 1;

e1709..    b234 + b250 + b256 + b259 + b264 + b269 =G= 1;

e1710..    b234 + b250 + b256 + b259 + b263 =G= 1;

e1711..    b234 + b250 + b256 + b258 =G= 1;

e1712..    b234 + b250 + b255 + b267 =G= 1;

e1713..    b234 + b250 + b255 + b264 + b268 =G= 1;

e1714..    b234 + b250 + b255 + b263 + b269 =G= 1;

e1715..    b234 + b250 + b255 + b262 =G= 1;

e1716..    b234 + b250 + b255 + b259 + b269 =G= 1;

e1717..    b234 + b250 + b255 + b259 + b264 =G= 1;

e1718..    b234 + b250 + b255 + b258 =G= 1;

e1719..    b234 + b250 + b254 + b268 =G= 1;

e1720..    b234 + b250 + b254 + b264 + b269 =G= 1;

e1721..    b234 + b250 + b254 + b263 =G= 1;

e1722..    b234 + b250 + b254 + b259 =G= 1;

e1723..    b234 + b250 + b253 + b269 =G= 1;

e1724..    b234 + b250 + b253 + b264 =G= 1;

e1725..    b234 + b250 + b253 + b259 =G= 1;

e1726..    b234 + b250 + b252 + b269 =G= 1;

e1727..    b234 + b250 + b252 + b264 =G= 1;

e1728..    b234 + b250 + b252 + b259 =G= 1;

e1729..    b234 + b249 + b266 =G= 1;

e1730..    b234 + b249 + b264 + b267 =G= 1;

e1731..    b234 + b249 + b263 + b268 =G= 1;

e1732..    b234 + b249 + b262 + b269 =G= 1;

e1733..    b234 + b249 + b261 =G= 1;

e1734..    b234 + b249 + b259 + b268 =G= 1;

e1735..    b234 + b249 + b259 + b264 + b269 =G= 1;

e1736..    b234 + b249 + b259 + b263 =G= 1;

e1737..    b234 + b249 + b258 =G= 1;

e1738..    b234 + b249 + b256 + b267 =G= 1;

e1739..    b234 + b249 + b256 + b264 + b268 =G= 1;

e1740..    b234 + b249 + b256 + b263 + b269 =G= 1;

e1741..    b234 + b249 + b256 + b262 =G= 1;

e1742..    b234 + b249 + b256 + b259 + b269 =G= 1;

e1743..    b234 + b249 + b256 + b259 + b264 =G= 1;

e1744..    b234 + b249 + b256 + b258 =G= 1;

e1745..    b234 + b249 + b255 + b268 =G= 1;

e1746..    b234 + b249 + b255 + b264 + b269 =G= 1;

e1747..    b234 + b249 + b255 + b263 =G= 1;

e1748..    b234 + b249 + b255 + b259 =G= 1;

e1749..    b234 + b249 + b254 + b269 =G= 1;

e1750..    b234 + b249 + b254 + b264 =G= 1;

e1751..    b234 + b249 + b254 + b259 =G= 1;

e1752..    b234 + b249 + b253 + b269 =G= 1;

e1753..    b234 + b249 + b253 + b264 =G= 1;

e1754..    b234 + b249 + b253 + b259 =G= 1;

e1755..    b234 + b248 + b267 =G= 1;

e1756..    b234 + b248 + b264 + b268 =G= 1;

e1757..    b234 + b248 + b263 + b269 =G= 1;

e1758..    b234 + b248 + b262 =G= 1;

e1759..    b234 + b248 + b259 + b269 =G= 1;

e1760..    b234 + b248 + b259 + b264 =G= 1;

e1761..    b234 + b248 + b258 =G= 1;

e1762..    b234 + b248 + b256 + b268 =G= 1;

e1763..    b234 + b248 + b256 + b264 + b269 =G= 1;

e1764..    b234 + b248 + b256 + b263 =G= 1;

e1765..    b234 + b248 + b256 + b259 =G= 1;

e1766..    b234 + b248 + b255 + b269 =G= 1;

e1767..    b234 + b248 + b255 + b264 =G= 1;

e1768..    b234 + b248 + b255 + b259 =G= 1;

e1769..    b234 + b248 + b254 + b269 =G= 1;

e1770..    b234 + b248 + b254 + b264 =G= 1;

e1771..    b234 + b248 + b254 + b259 =G= 1;

e1772..    b234 + b247 + b268 =G= 1;

e1773..    b234 + b247 + b264 + b269 =G= 1;

e1774..    b234 + b247 + b263 =G= 1;

e1775..    b234 + b247 + b259 =G= 1;

e1776..    b234 + b247 + b256 + b269 =G= 1;

e1777..    b234 + b247 + b256 + b264 =G= 1;

e1778..    b234 + b247 + b256 + b259 =G= 1;

e1779..    b234 + b247 + b255 + b269 =G= 1;

e1780..    b234 + b247 + b255 + b264 =G= 1;

e1781..    b234 + b247 + b255 + b259 =G= 1;

e1782..    b234 + b246 + b269 =G= 1;

e1783..    b234 + b246 + b264 =G= 1;

e1784..    b234 + b246 + b259 =G= 1;

e1785..    b234 + b244 + b266 =G= 1;

e1786..    b234 + b244 + b264 + b267 =G= 1;

e1787..    b234 + b244 + b263 + b268 =G= 1;

e1788..    b234 + b244 + b262 + b269 =G= 1;

e1789..    b234 + b244 + b261 =G= 1;

e1790..    b234 + b244 + b259 + b268 =G= 1;

e1791..    b234 + b244 + b259 + b264 + b269 =G= 1;

e1792..    b234 + b244 + b259 + b263 =G= 1;

e1793..    b234 + b244 + b258 =G= 1;

e1794..    b234 + b244 + b256 + b267 =G= 1;

e1795..    b234 + b244 + b256 + b264 + b268 =G= 1;

e1796..    b234 + b244 + b256 + b263 + b269 =G= 1;

e1797..    b234 + b244 + b256 + b262 =G= 1;

e1798..    b234 + b244 + b256 + b259 + b269 =G= 1;

e1799..    b234 + b244 + b256 + b259 + b264 =G= 1;

e1800..    b234 + b244 + b256 + b258 =G= 1;

e1801..    b234 + b244 + b255 + b267 =G= 1;

e1802..    b234 + b244 + b255 + b264 + b268 =G= 1;

e1803..    b234 + b244 + b255 + b263 + b269 =G= 1;

e1804..    b234 + b244 + b255 + b262 =G= 1;

e1805..    b234 + b244 + b255 + b259 + b269 =G= 1;

e1806..    b234 + b244 + b255 + b259 + b264 =G= 1;

e1807..    b234 + b244 + b255 + b258 =G= 1;

e1808..    b234 + b244 + b254 + b268 =G= 1;

e1809..    b234 + b244 + b254 + b264 + b269 =G= 1;

e1810..    b234 + b244 + b254 + b263 =G= 1;

e1811..    b234 + b244 + b254 + b259 =G= 1;

e1812..    b234 + b244 + b253 + b269 =G= 1;

e1813..    b234 + b244 + b253 + b264 =G= 1;

e1814..    b234 + b244 + b253 + b259 =G= 1;

e1815..    b234 + b244 + b250 + b267 =G= 1;

e1816..    b234 + b244 + b250 + b264 + b268 =G= 1;

e1817..    b234 + b244 + b250 + b263 + b269 =G= 1;

e1818..    b234 + b244 + b250 + b262 =G= 1;

e1819..    b234 + b244 + b250 + b259 + b269 =G= 1;

e1820..    b234 + b244 + b250 + b259 + b264 =G= 1;

e1821..    b234 + b244 + b250 + b258 =G= 1;

e1822..    b234 + b244 + b250 + b256 + b267 =G= 1;

e1823..    b234 + b244 + b250 + b256 + b264 + b268 =G= 1;

e1824..    b234 + b244 + b250 + b256 + b263 =G= 1;

e1825..    b234 + b244 + b250 + b256 + b259 =G= 1;

e1826..    b234 + b244 + b250 + b255 + b268 =G= 1;

e1827..    b234 + b244 + b250 + b255 + b264 + b269 =G= 1;

e1828..    b234 + b244 + b250 + b255 + b263 =G= 1;

e1829..    b234 + b244 + b250 + b255 + b259 =G= 1;

e1830..    b234 + b244 + b250 + b254 + b269 =G= 1;

e1831..    b234 + b244 + b250 + b254 + b264 =G= 1;

e1832..    b234 + b244 + b250 + b254 + b259 =G= 1;

e1833..    b234 + b244 + b249 + b267 =G= 1;

e1834..    b234 + b244 + b249 + b264 + b268 =G= 1;

e1835..    b234 + b244 + b249 + b263 + b269 =G= 1;

e1836..    b234 + b244 + b249 + b262 =G= 1;

e1837..    b234 + b244 + b249 + b259 + b269 =G= 1;

e1838..    b234 + b244 + b249 + b259 + b264 =G= 1;

e1839..    b234 + b244 + b249 + b258 =G= 1;

e1840..    b234 + b244 + b249 + b256 + b268 =G= 1;

e1841..    b234 + b244 + b249 + b256 + b264 + b269 =G= 1;

e1842..    b234 + b244 + b249 + b256 + b263 =G= 1;

e1843..    b234 + b244 + b249 + b256 + b259 =G= 1;

e1844..    b234 + b244 + b249 + b255 + b269 =G= 1;

e1845..    b234 + b244 + b249 + b255 + b264 =G= 1;

e1846..    b234 + b244 + b249 + b255 + b259 =G= 1;

e1847..    b234 + b244 + b248 + b268 =G= 1;

e1848..    b234 + b244 + b248 + b264 + b269 =G= 1;

e1849..    b234 + b244 + b248 + b263 =G= 1;

e1850..    b234 + b244 + b248 + b259 =G= 1;

e1851..    b234 + b244 + b248 + b256 + b269 =G= 1;

e1852..    b234 + b244 + b248 + b256 + b264 =G= 1;

e1853..    b234 + b244 + b248 + b256 + b259 =G= 1;

e1854..    b234 + b244 + b247 + b269 =G= 1;

e1855..    b234 + b244 + b247 + b264 =G= 1;

e1856..    b234 + b244 + b247 + b259 =G= 1;

e1857..    b234 + b243 + b267 =G= 1;

e1858..    b234 + b243 + b264 + b268 =G= 1;

e1859..    b234 + b243 + b263 + b269 =G= 1;

e1860..    b234 + b243 + b262 =G= 1;

e1861..    b234 + b243 + b259 + b269 =G= 1;

e1862..    b234 + b243 + b259 + b264 =G= 1;

e1863..    b234 + b243 + b258 =G= 1;

e1864..    b234 + b243 + b256 + b268 =G= 1;

e1865..    b234 + b243 + b256 + b264 + b269 =G= 1;

e1866..    b234 + b243 + b256 + b263 =G= 1;

e1867..    b234 + b243 + b256 + b259 =G= 1;

e1868..    b234 + b243 + b255 + b269 =G= 1;

e1869..    b234 + b243 + b255 + b264 =G= 1;

e1870..    b234 + b243 + b255 + b259 =G= 1;

e1871..    b234 + b243 + b250 + b268 =G= 1;

e1872..    b234 + b243 + b250 + b264 + b269 =G= 1;

e1873..    b234 + b243 + b250 + b263 =G= 1;

e1874..    b234 + b243 + b250 + b259 =G= 1;

e1875..    b234 + b243 + b250 + b256 + b269 =G= 1;

e1876..    b234 + b243 + b250 + b256 + b264 =G= 1;

e1877..    b234 + b243 + b250 + b256 + b259 =G= 1;

e1878..    b234 + b243 + b249 + b269 =G= 1;

e1879..    b234 + b243 + b249 + b264 =G= 1;

e1880..    b234 + b243 + b249 + b259 =G= 1;

e1881..    b234 + b242 + b269 =G= 1;

e1882..    b234 + b242 + b264 =G= 1;

e1883..    b234 + b242 + b259 =G= 1;

e1884..    b234 + b242 + b250 + b269 =G= 1;

e1885..    b234 + b242 + b250 + b264 =G= 1;

e1886..    b234 + b242 + b250 + b259 =G= 1;

e1887..    b234 + b240 + b267 =G= 1;

e1888..    b234 + b240 + b263 + b268 =G= 1;

e1889..    b234 + b240 + b262 =G= 1;

e1890..    b234 + b240 + b259 + b268 =G= 1;

e1891..    b234 + b240 + b259 + b264 + b269 =G= 1;

e1892..    b234 + b240 + b259 + b263 =G= 1;

e1893..    b234 + b240 + b258 =G= 1;

e1894..    b234 + b240 + b256 + b267 =G= 1;

e1895..    b234 + b240 + b256 + b264 + b268 =G= 1;

e1896..    b234 + b240 + b256 + b263 + b269 =G= 1;

e1897..    b234 + b240 + b256 + b262 =G= 1;

e1898..    b234 + b240 + b256 + b259 + b269 =G= 1;

e1899..    b234 + b240 + b256 + b259 + b264 =G= 1;

e1900..    b234 + b240 + b256 + b258 =G= 1;

e1901..    b234 + b240 + b255 + b268 =G= 1;

e1902..    b234 + b240 + b255 + b264 + b269 =G= 1;

e1903..    b234 + b240 + b255 + b263 =G= 1;

e1904..    b234 + b240 + b255 + b259 =G= 1;

e1905..    b234 + b240 + b254 + b269 =G= 1;

e1906..    b234 + b240 + b254 + b264 =G= 1;

e1907..    b234 + b240 + b254 + b259 =G= 1;

e1908..    b234 + b240 + b250 + b267 =G= 1;

e1909..    b234 + b240 + b250 + b264 + b268 =G= 1;

e1910..    b234 + b240 + b250 + b263 + b269 =G= 1;

e1911..    b234 + b240 + b250 + b262 =G= 1;

e1912..    b234 + b240 + b250 + b259 + b269 =G= 1;

e1913..    b234 + b240 + b250 + b259 + b264 =G= 1;

e1914..    b234 + b240 + b250 + b258 =G= 1;

e1915..    b234 + b240 + b250 + b256 + b268 =G= 1;

e1916..    b234 + b240 + b250 + b256 + b264 + b269 =G= 1;

e1917..    b234 + b240 + b250 + b256 + b263 =G= 1;

e1918..    b234 + b240 + b250 + b256 + b259 =G= 1;

e1919..    b234 + b240 + b250 + b255 + b269 =G= 1;

e1920..    b234 + b240 + b250 + b255 + b264 =G= 1;

e1921..    b234 + b240 + b250 + b255 + b259 =G= 1;

e1922..    b234 + b240 + b249 + b268 =G= 1;

e1923..    b234 + b240 + b249 + b264 + b269 =G= 1;

e1924..    b234 + b240 + b249 + b263 =G= 1;

e1925..    b234 + b240 + b249 + b259 =G= 1;

e1926..    b234 + b240 + b249 + b256 + b269 =G= 1;

e1927..    b234 + b240 + b249 + b256 + b264 =G= 1;

e1928..    b234 + b240 + b249 + b256 + b259 =G= 1;

e1929..    b234 + b240 + b248 + b269 =G= 1;

e1930..    b234 + b240 + b248 + b264 =G= 1;

e1931..    b234 + b240 + b248 + b259 =G= 1;

e1932..    b234 + b240 + b244 + b268 =G= 1;

e1933..    b234 + b240 + b244 + b264 + b269 =G= 1;

e1934..    b234 + b240 + b244 + b263 =G= 1;

e1935..    b234 + b240 + b244 + b259 =G= 1;

e1936..    b234 + b240 + b244 + b256 + b269 =G= 1;

e1937..    b234 + b240 + b244 + b256 + b264 =G= 1;

e1938..    b234 + b240 + b244 + b256 + b259 =G= 1;

e1939..    b234 + b240 + b244 + b255 + b269 =G= 1;

e1940..    b234 + b240 + b244 + b255 + b264 =G= 1;

e1941..    b234 + b240 + b244 + b255 + b259 =G= 1;

e1942..    b234 + b240 + b244 + b250 + b269 =G= 1;

e1943..    b234 + b240 + b244 + b250 + b264 =G= 1;

e1944..    b234 + b240 + b244 + b250 + b259 =G= 1;

e1945..    b234 + b240 + b244 + b250 + b256 + b269 =G= 1;

e1946..    b234 + b240 + b244 + b250 + b256 + b264 =G= 1;

e1947..    b234 + b240 + b244 + b250 + b256 + b259 =G= 1;

e1948..    b234 + b240 + b244 + b249 + b269 =G= 1;

e1949..    b234 + b240 + b244 + b249 + b264 =G= 1;

e1950..    b234 + b240 + b244 + b249 + b259 =G= 1;

e1951..    b234 + b240 + b243 + b269 =G= 1;

e1952..    b234 + b240 + b243 + b264 =G= 1;

e1953..    b234 + b240 + b243 + b259 =G= 1;

e1954..    b234 + b239 + b269 =G= 1;

e1955..    b234 + b239 + b264 =G= 1;

e1956..    b234 + b239 + b259 =G= 1;

e1957..    b234 + b237 + b267 =G= 1;

e1958..    b234 + b237 + b264 + b268 =G= 1;

e1959..    b234 + b237 + b263 + b269 =G= 1;

e1960..    b234 + b237 + b262 =G= 1;

e1961..    b234 + b237 + b259 + b269 =G= 1;

e1962..    b234 + b237 + b259 + b264 =G= 1;

e1963..    b234 + b237 + b258 =G= 1;

e1964..    b234 + b237 + b256 + b268 =G= 1;

e1965..    b234 + b237 + b256 + b264 + b269 =G= 1;

e1966..    b234 + b237 + b256 + b263 =G= 1;

e1967..    b234 + b237 + b256 + b259 =G= 1;

e1968..    b234 + b237 + b255 + b268 =G= 1;

e1969..    b234 + b237 + b255 + b264 + b269 =G= 1;

e1970..    b234 + b237 + b255 + b263 =G= 1;

e1971..    b234 + b237 + b255 + b259 =G= 1;

e1972..    b234 + b237 + b254 + b269 =G= 1;

e1973..    b234 + b237 + b254 + b264 =G= 1;

e1974..    b234 + b237 + b254 + b259 =G= 1;

e1975..    b234 + b237 + b250 + b268 =G= 1;

e1976..    b234 + b237 + b250 + b264 + b269 =G= 1;

e1977..    b234 + b237 + b250 + b263 =G= 1;

e1978..    b234 + b237 + b250 + b259 =G= 1;

e1979..    b234 + b237 + b250 + b256 + b268 =G= 1;

e1980..    b234 + b237 + b250 + b256 + b264 + b269 =G= 1;

e1981..    b234 + b237 + b250 + b256 + b263 =G= 1;

e1982..    b234 + b237 + b250 + b256 + b259 =G= 1;

e1983..    b234 + b237 + b250 + b255 + b269 =G= 1;

e1984..    b234 + b237 + b250 + b255 + b264 =G= 1;

e1985..    b234 + b237 + b250 + b255 + b259 =G= 1;

e1986..    b234 + b237 + b249 + b268 =G= 1;

e1987..    b234 + b237 + b249 + b264 + b269 =G= 1;

e1988..    b234 + b237 + b249 + b263 =G= 1;

e1989..    b234 + b237 + b249 + b259 =G= 1;

e1990..    b234 + b237 + b249 + b256 + b269 =G= 1;

e1991..    b234 + b237 + b249 + b256 + b264 =G= 1;

e1992..    b234 + b237 + b249 + b256 + b259 =G= 1;

e1993..    b234 + b237 + b248 + b269 =G= 1;

e1994..    b234 + b237 + b248 + b264 =G= 1;

e1995..    b234 + b237 + b248 + b259 =G= 1;

e1996..    b234 + b237 + b244 + b268 =G= 1;

e1997..    b234 + b237 + b244 + b264 + b269 =G= 1;

e1998..    b234 + b237 + b244 + b263 =G= 1;

e1999..    b234 + b237 + b244 + b259 =G= 1;

e2000..    b234 + b237 + b244 + b256 + b269 =G= 1;

e2001..    b234 + b237 + b244 + b256 + b264 =G= 1;

e2002..    b234 + b237 + b244 + b256 + b259 =G= 1;

e2003..    b234 + b237 + b244 + b255 + b269 =G= 1;

e2004..    b234 + b237 + b244 + b255 + b264 =G= 1;

e2005..    b234 + b237 + b244 + b255 + b259 =G= 1;

e2006..    b234 + b237 + b244 + b250 + b269 =G= 1;

e2007..    b234 + b237 + b244 + b250 + b264 =G= 1;

e2008..    b234 + b237 + b244 + b250 + b259 =G= 1;

e2009..    b234 + b237 + b243 + b269 =G= 1;

e2010..    b234 + b237 + b243 + b264 =G= 1;

e2011..    b234 + b237 + b243 + b259 =G= 1;

e2012..    b234 + b237 + b240 + b269 =G= 1;

e2013..    b234 + b237 + b240 + b264 =G= 1;

e2014..    b234 + b237 + b240 + b259 =G= 1;

e2015..    b234 + b237 + b240 + b256 + b269 =G= 1;

e2016..    b234 + b237 + b240 + b256 + b264 =G= 1;

e2017..    b234 + b237 + b240 + b256 + b259 =G= 1;

e2018..    b234 + b237 + b240 + b250 + b269 =G= 1;

e2019..    b234 + b237 + b240 + b250 + b264 =G= 1;

e2020..    b234 + b237 + b240 + b250 + b259 =G= 1;

e2021..    b234 + b236 + b269 =G= 1;

e2022..    b234 + b236 + b264 =G= 1;

e2023..    b234 + b236 + b259 =G= 1;

e2024..    b233 + b267 =G= 1;

e2025..    b233 + b264 + b268 =G= 1;

e2026..    b233 + b263 + b269 =G= 1;

e2027..    b233 + b262 =G= 1;

e2028..    b233 + b259 + b269 =G= 1;

e2029..    b233 + b259 + b264 =G= 1;

e2030..    b233 + b258 =G= 1;

e2031..    b233 + b256 + b268 =G= 1;

e2032..    b233 + b256 + b264 + b269 =G= 1;

e2033..    b233 + b256 + b263 =G= 1;

e2034..    b233 + b256 + b259 =G= 1;

e2035..    b233 + b255 + b268 =G= 1;

e2036..    b233 + b255 + b264 + b269 =G= 1;

e2037..    b233 + b255 + b263 =G= 1;

e2038..    b233 + b255 + b259 =G= 1;

e2039..    b233 + b254 + b269 =G= 1;

e2040..    b233 + b254 + b264 =G= 1;

e2041..    b233 + b254 + b259 =G= 1;

e2042..    b233 + b250 + b268 =G= 1;

e2043..    b233 + b250 + b263 =G= 1;

e2044..    b233 + b250 + b259 =G= 1;

e2045..    b233 + b250 + b256 + b268 =G= 1;

e2046..    b233 + b250 + b256 + b264 + b269 =G= 1;

e2047..    b233 + b250 + b256 + b263 =G= 1;

e2048..    b233 + b250 + b256 + b259 =G= 1;

e2049..    b233 + b250 + b255 + b269 =G= 1;

e2050..    b233 + b250 + b255 + b264 =G= 1;

e2051..    b233 + b250 + b255 + b259 =G= 1;

e2052..    b233 + b249 + b268 =G= 1;

e2053..    b233 + b249 + b264 + b269 =G= 1;

e2054..    b233 + b249 + b263 =G= 1;

e2055..    b233 + b249 + b259 =G= 1;

e2056..    b233 + b249 + b256 + b269 =G= 1;

e2057..    b233 + b249 + b256 + b264 =G= 1;

e2058..    b233 + b249 + b256 + b259 =G= 1;

e2059..    b233 + b248 + b269 =G= 1;

e2060..    b233 + b248 + b264 =G= 1;

e2061..    b233 + b248 + b259 =G= 1;

e2062..    b233 + b244 + b268 =G= 1;

e2063..    b233 + b244 + b264 + b269 =G= 1;

e2064..    b233 + b244 + b263 =G= 1;

e2065..    b233 + b244 + b259 =G= 1;

e2066..    b233 + b244 + b256 + b269 =G= 1;

e2067..    b233 + b244 + b256 + b264 =G= 1;

e2068..    b233 + b244 + b256 + b259 =G= 1;

e2069..    b233 + b244 + b250 + b269 =G= 1;

e2070..    b233 + b244 + b250 + b264 =G= 1;

e2071..    b233 + b244 + b250 + b259 =G= 1;

e2072..    b233 + b243 + b269 =G= 1;

e2073..    b233 + b243 + b264 =G= 1;

e2074..    b233 + b243 + b259 =G= 1;

e2075..    b233 + b240 + b269 =G= 1;

e2076..    b233 + b240 + b264 =G= 1;

e2077..    b233 + b240 + b259 =G= 1;

e2078..    b233 + b237 + b269 =G= 1;

e2079..    b233 + b237 + b264 =G= 1;

e2080..    b233 + b237 + b259 =G= 1;

e2081..    b232 + b269 =G= 1;

e2082..    b232 + b264 =G= 1;

e2083..    b232 + b259 =G= 1;

e2084..    b232 - b233 =G= 0;

e2085..    b233 - b234 =G= 0;

e2086..    b235 - b236 =G= 0;

e2087..    b236 - b237 =G= 0;

e2088..    b238 - b239 =G= 0;

e2089..    b239 - b240 =G= 0;

e2090..    b241 - b242 =G= 0;

e2091..    b242 - b243 =G= 0;

e2092..    b243 - b244 =G= 0;

e2093..    b245 - b246 =G= 0;

e2094..    b246 - b247 =G= 0;

e2095..    b247 - b248 =G= 0;

e2096..    b248 - b249 =G= 0;

e2097..    b249 - b250 =G= 0;

e2098..    b251 - b252 =G= 0;

e2099..    b252 - b253 =G= 0;

e2100..    b253 - b254 =G= 0;

e2101..    b254 - b255 =G= 0;

e2102..    b255 - b256 =G= 0;

e2103..    b257 - b258 =G= 0;

e2104..    b258 - b259 =G= 0;

e2105..    b260 - b261 =G= 0;

e2106..    b261 - b262 =G= 0;

e2107..    b262 - b263 =G= 0;

e2108..    b263 - b264 =G= 0;

e2109..    b265 - b266 =G= 0;

e2110..    b266 - b267 =G= 0;

e2111..    b267 - b268 =G= 0;

e2112..    b268 - b269 =G= 0;

e2113..    b270 - b271 =G= 0;

e2114..    b271 - b272 =G= 0;

e2115..    b272 - b273 =G= 0;

e2116..    b273 - b274 =G= 0;

e2117..    b274 - b275 =G= 0;

e2118..    b276 - b277 =G= 0;

e2119..    b277 - b278 =G= 0;

e2120..    b278 - b279 =G= 0;

e2121..    b279 - b280 =G= 0;

e2122..    b281 - b282 =G= 0;

e2123..    b282 - b283 =G= 0;

e2124..    b284 - b285 =G= 0;

e2125..    b285 - b286 =G= 0;

e2126..    b287 - b288 =G= 0;

e2127..    b288 - b289 =G= 0;

e2128..    b290 - b291 =G= 0;

e2129..    b291 - b292 =G= 0;

e2130..    b292 - b293 =G= 0;

e2131..    x124 - x125 =G= 0;

e2132..    x125 - x126 =G= 0;

e2133..    x91 - 0.1*b232 - 0.573333333333333*b233 - 0.1*b234
         =E= 1.24666666666667;

e2134..    x92 - 0.193333333333333*b235 - 1.14666666666667*b236
         - 0.193333333333333*b237 =E= 2.48;

e2135..    x93 - 0.226666666666667*b238 - 1.36*b239 - 0.226666666666667*b240
         =E= 2.94666666666667;

e2136..    x94 - 0.28*b241 - 1.42*b242 - 0.286666666666667*b243 - 0.28*b244
         =E= 3.69333333333333;

e2137..    x95 - 1.91333333333333*b245 - 7.65333333333333*b246
         - 1.91333333333333*b247 - 1.91333333333333*b248
         - 1.91333333333333*b249 - 1.91333333333333*b250 =E= 24.8733333333333;

e2138..    x96 - 4.51333333333333*b251 - 18.0533333333333*b252
         - 4.51333333333333*b253 - 4.50666666666667*b254
         - 4.51333333333333*b255 - 4.51333333333333*b256 =E= 58.6666666666667;

e2139..    x97 - 0.313333333333333*b257 - 1.88666666666667*b258
         - 0.313333333333333*b259 =E= 4.08;

e2140..    x98 - 2.81333333333333*b260 - 14.06*b261 - 2.80666666666667*b262
         - 2.81333333333333*b263 - 2.81333333333333*b264 =E= 36.56;

e2141..    x99 - 2.56*b265 - 12.7933333333333*b266 - 2.56*b267 - 2.56*b268
         - 2.55333333333333*b269 =E= 33.26;

e2142..    x100 - 1.88666666666667*b270 - 7.54666666666667*b271
         - 1.88666666666667*b272 - 1.88666666666667*b273
         - 1.88666666666667*b274 - 1.88666666666667*b275 =E= 24.52;

e2143..    x101 - 2.84*b276 - 14.2*b277 - 2.84*b278 - 2.84*b279
         - 2.84666666666667*b280 =E= 36.9266666666667;

e2144..    x102 - 3.85333333333333*b281 - 23.1133333333333*b282
         - 3.85333333333333*b283 =E= 50.0866666666667;

e2145..    x103 - 1.24666666666667*b284 - 7.47333333333333*b285 - 1.24*b286
         =E= 16.1866666666667;

e2146..    x104 - 1.81333333333333*b287 - 10.8533333333333*b288
         - 1.81333333333333*b289 =E= 23.52;

e2147..    x105 - 2.96666666666667*b290 - 14.82*b291 - 2.96*b292
         - 2.96666666666667*b293 =E= 38.5266666666667;

e2148..  - x106 + x217 =L= 0;

e2149..  - x107 + x218 =L= 0;

e2150..  - x108 + x219 =L= 0;

e2151..  - x109 + x220 =L= 0;

e2152..  - x110 + x221 =L= 0;

e2153..  - x111 + x222 =L= 0;

e2154..  - x112 + x223 =L= 0;

e2155..  - x113 + x224 =L= 0;

e2156..  - x114 + x225 =L= 0;

e2157..  - x115 + x226 =L= 0;

e2158..  - x116 + x227 =L= 0;

e2159..  - x117 + x228 =L= 0;

e2160..  - x118 + x229 =L= 0;

e2161..  - x119 + x230 =L= 0;

e2162..  - x120 + x231 =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 = 0.26351883;
x47.up = 0.26351883;
x48.up = 0.26351883;
x49.up = 0.22891574;
x50.up = 0.22891574;
x51.up = 0.22891574;
x52.up = 0.21464835;
x53.up = 0.21464835;
x54.up = 0.21464835;
x55.up = 0.17964414;
x56.up = 0.17964414;
x57.up = 0.17964414;
x58.up = 0.17402843;
x59.up = 0.17402843;
x60.up = 0.17402843;
x61.up = 0.15355962;
x62.up = 0.15355962;
x63.up = 0.15355962;
x64.up = 0.1942283;
x65.up = 0.1942283;
x66.up = 0.1942283;
x67.up = 0.25670555;
x68.up = 0.25670555;
x69.up = 0.25670555;
x70.up = 0.27088619;
x71.up = 0.27088619;
x72.up = 0.27088619;
x73.up = 0.28985675;
x74.up = 0.28985675;
x75.up = 0.28985675;
x76.up = 0.25550303;
x77.up = 0.25550303;
x78.up = 0.25550303;
x79.up = 0.19001726;
x80.up = 0.19001726;
x81.up = 0.19001726;
x82.up = 0.23803143;
x83.up = 0.23803143;
x84.up = 0.23803143;
x85.up = 0.23312962;
x86.up = 0.23312962;
x87.up = 0.23312962;
x88.up = 0.27705307;
x89.up = 0.27705307;
x90.up = 0.27705307;
x91.up = 2.02;
x92.up = 4.01333333333333;
x93.up = 4.76;
x94.up = 5.96;
x95.up = 42.0933333333333;
x96.up = 99.28;
x97.up = 6.59333333333333;
x98.up = 61.8666666666667;
x99.up = 56.2866666666667;
x100.up = 41.5;
x101.up = 62.4933333333333;
x102.up = 80.9066666666667;
x103.up = 26.1466666666667;
x104.up = 38;
x105.up = 62.24;
x106.up = 0.5323080366;
x107.up = 0.918715169866666;
x108.up = 1.021726146;
x109.up = 1.0706790744;
x110.up = 7.32543671346667;
x111.up = 15.2453990736;
x112.up = 1.28061192466667;
x113.up = 15.8815166933333;
x114.up = 15.2472806811333;
x115.up = 12.029055125;
x116.up = 15.9672360214667;
x117.up = 15.3736631157333;
x118.up = 6.2237284564;
x119.up = 8.85892556;
x120.up = 17.2437830768;
x121.lo = 0.25788969; x121.up = 0.35227087;
x122.lo = 0.25788969; x122.up = 0.35227087;
x123.lo = 0.25788969; x123.up = 0.35227087;
x124.lo = -0.98493628; x124.up = -0.7794471;
x125.lo = -0.98493628; x125.up = -0.7794471;
x126.lo = -0.98493628; x126.up = -0.7794471;
x127.up = 0.0580296499999999;
x128.up = 0.0580296499999999;
x129.up = 0.0580296499999999;
x130.up = 0.0546689399999999;
x131.up = 0.0546689399999999;
x132.up = 0.0546689399999999;
x133.up = 0.09360565;
x134.up = 0.09360565;
x135.up = 0.09360565;
x136.up = 0.0476880399999999;
x137.up = 0.0476880399999999;
x138.up = 0.0476880399999999;
x139.up = 0.05276021;
x140.up = 0.05276021;
x141.up = 0.05276021;
x142.up = 0.04905388;
x143.up = 0.04905388;
x144.up = 0.04905388;
x145.up = 0.07731692;
x146.up = 0.07731692;
x147.up = 0.07731692;
x148.up = 0.08211741;
x149.up = 0.08211741;
x150.up = 0.08211741;
x151.up = 0.09438118;
x152.up = 0.09438118;
x153.up = 0.09438118;
x154.up = 0.08436757;
x155.up = 0.08436757;
x156.up = 0.08436757;
x157.up = 0.06987597;
x158.up = 0.06987597;
x159.up = 0.06987597;
x160.up = 0.04788831;
x161.up = 0.04788831;
x162.up = 0.04788831;
x163.up = 0.0668875099999999;
x164.up = 0.0668875099999999;
x165.up = 0.0668875099999999;
x166.up = 0.07276512;
x167.up = 0.07276512;
x168.up = 0.07276512;
x169.up = 0.09438118;
x170.up = 0.09438118;
x171.up = 0.09438118;
x172.up = 0.20548918;
x173.up = 0.20548918;
x174.up = 0.20548918;
x175.up = 0.1742468;
x176.up = 0.1742468;
x177.up = 0.1742468;
x178.up = 0.1210427;
x179.up = 0.1210427;
x180.up = 0.1210427;
x181.up = 0.1319561;
x182.up = 0.1319561;
x183.up = 0.1319561;
x184.up = 0.12126822;
x185.up = 0.12126822;
x186.up = 0.12126822;
x187.up = 0.10450574;
x188.up = 0.10450574;
x189.up = 0.10450574;
x190.up = 0.11691138;
x191.up = 0.11691138;
x192.up = 0.11691138;
x193.up = 0.17458814;
x194.up = 0.17458814;
x195.up = 0.17458814;
x196.up = 0.17650501;
x197.up = 0.17650501;
x198.up = 0.17650501;
x199.up = 0.20548918;
x200.up = 0.20548918;
x201.up = 0.20548918;
x202.up = 0.18562706;
x203.up = 0.18562706;
x204.up = 0.18562706;
x205.up = 0.14212895;
x206.up = 0.14212895;
x207.up = 0.14212895;
x208.up = 0.17114392;
x209.up = 0.17114392;
x210.up = 0.17114392;
x211.up = 0.1603645;
x212.up = 0.1603645;
x213.up = 0.1603645;
x214.up = 0.18267189;
x215.up = 0.18267189;
x216.up = 0.18267189;
x217.up = 0.5323080366;
x218.up = 0.918715169866666;
x219.up = 1.021726146;
x220.up = 1.0706790744;
x221.up = 7.32543671346667;
x222.up = 15.2453990736;
x223.up = 1.28061192466667;
x224.up = 15.8815166933333;
x225.up = 15.2472806811333;
x226.up = 12.029055125;
x227.up = 15.9672360214667;
x228.up = 15.3736631157333;
x229.up = 6.2237284564;
x230.up = 8.85892556;
x231.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: 2022-10-14 Git hash: 2be6d7c0
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