QPLIB

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QPLIB_5935

Formats gms lp mod qplib
Problem type probtype QBL
Solution point objective value solobjvalue 4758.00000000 (gdx, sol)
Solution point infeasibility solinfeasibility 0.0000e+00
Donor donor Fabio Furini
#Variables nvars 100
#Binary Variables nbinvars 100
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 100
#Nonlinear Binary Variables nnlbinvars 100
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense max
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 51
#Positive eigenvalues in objective matrix nobjquadposev 49
#Nonzeros in Objective nobjnz 100
#Nonlinear Nonzeros in Objective nobjnlnz 100
#Quadratic Terms in Objective nobjquadnz 4950
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 1237
#Linear Constraints nlincons 1237
#Quadratic Constraints nquadcons 0
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature linear
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 0
#Nonzeros in Jacobian njacobiannz 2474
#Nonlinear Nonzeros in Jacobian njacobiannlnz 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 9900
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 1
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 100
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 100
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 100.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_5935.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*       1238        1        0     1237        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        101        1      100        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2575     2475      100        0
*
*  Solve m using MIQCP maximizing objvar;


Variables  objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101;

Binary Variables  b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101;

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;


e1.. (-41*b2*b3) - 84*b2 + 7*b3 + 42*b2*b4 + 68*b4 + 42*b2*b5 + 37*b5 + 24*b2*
     b6 + 47*b6 + 45*b2*b7 + 10*b7 + 53*b2*b8 + 26*b8 + 17*b2*b9 + 58*b9 + 60*
     b2*b10 + 71*b10 + 28*b2*b11 + 86*b11 + 73*b2*b12 + 84*b12 - 41*b2*b13 - 65
     *b13 - 75*b2*b14 + 53*b14 + 39*b2*b15 - 69*b15 - 72*b2*b16 + 33*b16 + 80*
     b2*b17 + 31*b17 + 20*b2*b18 + 67*b18 + 62*b2*b19 + 5*b19 + 47*b2*b20 - 72*
     b20 + 18*b2*b21 + 95*b21 + 84*b2*b22 + 76*b22 - 29*b2*b23 + 39*b23 - 96*b2
     *b24 + 8*b24 + 51*b2*b25 - 74*b25 + 67*b2*b26 + 58*b26 + 57*b2*b27 - 94*
     b27 - 30*b2*b28 + 51*b28 + 19*b2*b29 + 79*b29 + 30*b2*b30 + 61*b30 + 88*b2
     *b31 + 32*b31 + 8*b2*b32 + 27*b32 - 16*b2*b33 - 12*b33 + 38*b2*b34 + 99*
     b34 + 91*b2*b35 + 78*b35 + 83*b2*b36 + 61*b36 + 6*b2*b37 - 91*b37 - 23*b2*
     b38 - 80*b38 + 58*b2*b39 - 88*b39 + 82*b2*b40 + 80*b40 - 24*b2*b41 + 64*
     b41 - 37*b2*b42 + 25*b42 + 90*b2*b43 + 29*b43 + 28*b2*b44 + 67*b44 + 74*b2
     *b45 + 30*b45 + 16*b2*b46 + 59*b46 + 9*b2*b47 - 72*b47 - 31*b2*b48 + 74*
     b48 + 5*b2*b49 + 30*b49 + 57*b2*b50 + 4*b50 + 56*b2*b51 + 46*b51 + 7*b2*
     b52 - 83*b52 + 9*b2*b53 + 4*b53 + 98*b2*b54 + 69*b54 + 98*b2*b55 + 48*b55
      + 73*b2*b56 + 56*b56 + 30*b2*b57 + 37*b57 + 4*b2*b58 + 72*b58 - 32*b2*b59
      + 59*b59 + 78*b2*b60 - 77*b60 + 92*b2*b61 + 18*b61 + 70*b2*b62 + 100*b62
      + 71*b2*b63 + 71*b63 + 29*b2*b64 + 28*b64 - 24*b2*b65 - 97*b65 + 73*b2*
     b66 - 11*b66 - 76*b2*b67 - 99*b67 - 95*b2*b68 + 83*b68 - 60*b2*b69 + 54*
     b69 + 50*b2*b70 + 48*b70 + 74*b2*b71 + 55*b71 + 82*b2*b72 - 15*b72 + 36*b2
     *b73 + 87*b73 + 73*b2*b74 + 61*b74 + 21*b2*b75 - 29*b75 + 75*b2*b76 + 84*
     b76 + 46*b2*b77 + 23*b77 + 16*b2*b78 + 38*b78 + 48*b2*b79 + 8*b79 + 94*b2*
     b80 + 97*b80 + 81*b2*b81 + 48*b81 + 5*b2*b82 - 50*b82 - 97*b2*b83 - 51*b83
      + 92*b2*b84 + 3*b84 - 90*b2*b85 + 39*b85 + 18*b2*b86 - 56*b86 + 68*b2*b87
      + 6*b87 + 17*b2*b88 - 36*b88 + 88*b2*b89 - 12*b89 + 73*b2*b90 + 89*b90 + 
     42*b2*b91 + 84*b91 + 24*b2*b92 + 37*b92 + 43*b2*b93 + 59*b93 - 6*b2*b94 + 
     3*b94 + 83*b2*b95 + 92*b95 + 64*b2*b96 - 21*b96 + 68*b2*b97 + 9*b97 + 22*
     b2*b98 + 89*b98 + 66*b2*b99 - 58*b99 + 25*b2*b100 - 62*b100 + 59*b2*b101
      + 41*b101 + 21*b3*b4 - 92*b3*b5 + 80*b3*b6 + 29*b3*b7 + 91*b3*b8 + 98*b3*
     b9 - 60*b3*b10 + 53*b3*b11 - 33*b3*b12 - 67*b3*b13 - b3*b14 + 15*b3*b15 - 
     2*b3*b16 - 39*b3*b17 - 38*b3*b18 + 19*b3*b19 + 74*b3*b20 + 46*b3*b21 + 94*
     b3*b22 + 8*b3*b23 + 47*b3*b24 + 50*b3*b25 + 49*b3*b26 - 74*b3*b27 + 40*b3*
     b28 - 77*b3*b29 - 78*b3*b30 + 65*b3*b31 + 23*b3*b32 + 9*b3*b33 + 52*b3*b34
      - 70*b3*b35 + 41*b3*b36 + 82*b3*b37 - 93*b3*b38 + 70*b3*b39 + 47*b3*b40
      - 97*b3*b41 + 24*b3*b42 + 76*b3*b43 + 62*b3*b44 + 6*b3*b45 + 96*b3*b46 + 
     70*b3*b47 - 77*b3*b48 - 30*b3*b49 - 56*b3*b50 - 58*b3*b51 + 67*b3*b52 + 82
     *b3*b53 + 80*b3*b54 + 50*b3*b55 + 25*b3*b56 + 73*b3*b57 + 17*b3*b58 - 62*
     b3*b59 + 52*b3*b60 - 17*b3*b61 + 41*b3*b62 + 69*b3*b63 + 67*b3*b64 + 97*b3
     *b65 + 49*b3*b66 + 70*b3*b67 + 97*b3*b68 + 78*b3*b69 + 6*b3*b70 + 54*b3*
     b71 + 73*b3*b72 - 30*b3*b73 + 73*b3*b74 - 19*b3*b75 - 62*b3*b76 + 27*b3*
     b77 - 24*b3*b78 - 71*b3*b79 + 97*b3*b80 - 63*b3*b81 + 25*b3*b82 + 64*b3*
     b83 + 36*b3*b84 - 48*b3*b85 + 19*b3*b86 + 23*b3*b87 + 26*b3*b88 + 84*b3*
     b89 + 48*b3*b90 + 79*b3*b91 + 88*b3*b92 + 63*b3*b93 + 52*b3*b94 + 52*b3*
     b95 + 3*b3*b96 + 44*b3*b97 + 51*b3*b98 + 99*b3*b99 - 51*b3*b100 + 30*b3*
     b101 + 99*b4*b5 - 13*b4*b6 + 9*b4*b7 + 79*b4*b8 + 50*b4*b9 + 64*b4*b10 - 
     65*b4*b11 + 52*b4*b12 + 10*b4*b13 + 15*b4*b14 + 21*b4*b15 + 91*b4*b16 + 69
     *b4*b17 + 8*b4*b18 - 40*b4*b19 - 41*b4*b20 + 94*b4*b21 + 18*b4*b22 + 52*b4
     *b23 + 9*b4*b24 + 56*b4*b25 + 42*b4*b26 - 2*b4*b27 + 40*b4*b28 + 47*b4*b29
      + 27*b4*b30 + 17*b4*b31 - 90*b4*b32 + 11*b4*b33 + 56*b4*b34 + 91*b4*b35
      - 43*b4*b36 + 4*b4*b37 + 89*b4*b38 - 12*b4*b39 + 12*b4*b40 + 72*b4*b41 + 
     92*b4*b42 + 97*b4*b43 + 88*b4*b44 + 37*b4*b45 + 63*b4*b46 + 35*b4*b47 - 90
     *b4*b48 - 5*b4*b49 - 98*b4*b50 - 97*b4*b51 - 30*b4*b52 + 57*b4*b53 + 59*b4
     *b54 + 66*b4*b55 + 87*b4*b56 - 75*b4*b57 + 62*b4*b58 + 9*b4*b59 - 67*b4*
     b60 - 67*b4*b61 + 50*b4*b62 + 36*b4*b63 + 98*b4*b64 + 35*b4*b65 + 87*b4*
     b66 + 91*b4*b67 + 83*b4*b68 - 86*b4*b69 + 15*b4*b70 + 15*b4*b71 + 41*b4*
     b72 + 31*b4*b73 - 65*b4*b74 + 55*b4*b75 + 87*b4*b76 - 63*b4*b77 - 73*b4*
     b78 + 26*b4*b79 + 90*b4*b80 - 21*b4*b81 + 43*b4*b82 + 93*b4*b83 + 10*b4*
     b84 + 70*b4*b85 - 81*b4*b86 + 28*b4*b87 + 25*b4*b88 - 75*b4*b89 - 100*b4*
     b90 + 71*b4*b91 + 53*b4*b92 - 26*b4*b93 + 83*b4*b94 + 99*b4*b95 + 64*b4*
     b96 + 48*b4*b97 - 33*b4*b98 + 35*b4*b99 + 22*b4*b100 + 17*b4*b101 - 39*b5*
     b6 + 27*b5*b7 + 6*b5*b8 + 4*b5*b9 + 33*b5*b10 + 96*b5*b11 + 59*b5*b12 - 13
     *b5*b13 + 24*b5*b14 + 65*b5*b15 + 33*b5*b16 + 49*b5*b17 - 8*b5*b18 + 59*b5
     *b19 + 38*b5*b20 + 34*b5*b21 + 24*b5*b22 + 91*b5*b23 + 12*b5*b24 - 86*b5*
     b25 + 73*b5*b26 - 32*b5*b27 - 6*b5*b28 + 76*b5*b29 + 59*b5*b30 + 20*b5*b31
      + 55*b5*b32 + 61*b5*b33 + 2*b5*b34 + 42*b5*b35 + 98*b5*b36 + 14*b5*b37 + 
     87*b5*b38 - 2*b5*b39 + 3*b5*b40 + 46*b5*b41 + 24*b5*b42 + 57*b5*b43 + 26*
     b5*b44 + 9*b5*b45 - 23*b5*b46 - 31*b5*b47 - 47*b5*b48 + 91*b5*b49 + 14*b5*
     b50 + 38*b5*b51 + 8*b5*b52 - 84*b5*b53 + 8*b5*b54 + 44*b5*b55 - 27*b5*b56
      + 36*b5*b57 - 19*b5*b58 - 78*b5*b59 + 24*b5*b60 - 31*b5*b61 + 18*b5*b62
      + 75*b5*b63 + 56*b5*b64 + 16*b5*b65 + 50*b5*b66 + 80*b5*b67 + 57*b5*b68
      + 2*b5*b69 - 51*b5*b70 - 77*b5*b71 + 39*b5*b72 + 27*b5*b73 + 3*b5*b74 - 4
     *b5*b75 - 94*b5*b76 + 76*b5*b77 + 99*b5*b78 + 28*b5*b79 + 19*b5*b80 + 75*
     b5*b81 + 48*b5*b82 + 24*b5*b83 - 68*b5*b84 + 19*b5*b85 - 27*b5*b86 + 47*b5
     *b87 + 6*b5*b88 + 73*b5*b89 + 80*b5*b90 + 38*b5*b91 + 65*b5*b92 + 37*b5*
     b93 + 67*b5*b94 - 22*b5*b95 - 10*b5*b96 + 53*b5*b97 + 2*b5*b98 + 61*b5*b99
      + 57*b5*b100 - 91*b5*b101 - 26*b6*b7 - 47*b6*b8 + 13*b6*b9 - 44*b6*b10 + 
     50*b6*b11 + 17*b6*b12 + 98*b6*b13 + 82*b6*b14 + 72*b6*b15 - 100*b6*b16 + 2
     *b6*b17 + 91*b6*b18 + 32*b6*b19 - 76*b6*b20 + 34*b6*b21 + 71*b6*b22 + 6*b6
     *b23 + 47*b6*b24 - 92*b6*b25 - 61*b6*b26 + 74*b6*b27 + 59*b6*b28 - 34*b6*
     b29 + 86*b6*b30 + 98*b6*b31 - 91*b6*b32 - 89*b6*b33 + 54*b6*b34 + 35*b6*
     b35 + 60*b6*b36 - 46*b6*b37 + 84*b6*b38 + 2*b6*b39 - 20*b6*b40 - 71*b6*b41
      + 38*b6*b42 + 10*b6*b43 - 67*b6*b44 + 40*b6*b45 - 4*b6*b46 - 41*b6*b47 - 
     88*b6*b48 + 26*b6*b49 + 53*b6*b50 + 22*b6*b51 + 33*b6*b52 + 45*b6*b53 + 70
     *b6*b54 - 45*b6*b55 + 91*b6*b56 + 22*b6*b57 + 10*b6*b58 + 76*b6*b59 + 77*
     b6*b60 - 32*b6*b61 + 55*b6*b62 + 26*b6*b63 + 5*b6*b64 + 36*b6*b65 + 16*b6*
     b66 + 73*b6*b67 + 76*b6*b68 + 15*b6*b69 + 64*b6*b70 + 87*b6*b71 + 25*b6*
     b72 + 82*b6*b73 + 90*b6*b74 + 62*b6*b75 - 75*b6*b76 + 50*b6*b77 + 16*b6*
     b78 + 23*b6*b79 + 31*b6*b80 + 82*b6*b81 + 67*b6*b82 + 93*b6*b83 + 71*b6*
     b84 - 39*b6*b85 + 17*b6*b86 - 40*b6*b87 + 84*b6*b88 + 78*b6*b89 + 33*b6*
     b90 + 43*b6*b91 - 83*b6*b92 + 87*b6*b93 + 19*b6*b94 + 23*b6*b95 + 19*b6*
     b96 - 46*b6*b97 - 9*b6*b98 - 79*b6*b99 + 48*b6*b100 + 65*b6*b101 + 94*b7*
     b8 - 8*b7*b9 - 80*b7*b10 + 2*b7*b11 - 76*b7*b12 + 70*b7*b13 + 87*b7*b14 + 
     13*b7*b15 - 18*b7*b16 + 58*b7*b17 + 42*b7*b18 + 73*b7*b19 + 93*b7*b20 + 81
     *b7*b21 - 19*b7*b22 + 56*b7*b23 + 5*b7*b24 - 41*b7*b25 - b7*b26 + 48*b7*
     b27 + 89*b7*b28 + 38*b7*b29 + 74*b7*b30 - 84*b7*b31 + 88*b7*b32 + 78*b7*
     b33 + 97*b7*b34 - 31*b7*b35 + 4*b7*b36 + 81*b7*b37 + 60*b7*b38 + 86*b7*b39
      - 4*b7*b40 + b7*b41 + 71*b7*b42 + 83*b7*b43 + 65*b7*b44 + 86*b7*b45 + 74*
     b7*b46 + 80*b7*b47 + 62*b7*b48 + 90*b7*b49 + 11*b7*b50 + 47*b7*b51 - 83*b7
     *b52 + 89*b7*b53 + 67*b7*b54 + 58*b7*b55 + 4*b7*b56 + 25*b7*b57 + 6*b7*b58
      + 85*b7*b59 + 32*b7*b60 + 60*b7*b61 - 90*b7*b62 + 66*b7*b63 + 52*b7*b64
      + 9*b7*b65 + 79*b7*b66 + 29*b7*b67 + 86*b7*b68 + 55*b7*b69 + 46*b7*b70 + 
     22*b7*b71 + 70*b7*b72 + 27*b7*b73 + 5*b7*b74 + 96*b7*b75 + 32*b7*b76 + 41*
     b7*b77 + 50*b7*b78 + 24*b7*b79 + 17*b7*b80 - 15*b7*b81 + 91*b7*b82 + 8*b7*
     b83 + 63*b7*b84 + 80*b7*b85 + 78*b7*b86 + 61*b7*b87 + 98*b7*b88 + 25*b7*
     b89 + b7*b90 + 90*b7*b91 - 79*b7*b92 - 5*b7*b93 + 92*b7*b94 + 80*b7*b95 - 
     12*b7*b96 + 55*b7*b97 + 89*b7*b98 + 30*b7*b99 + 80*b7*b100 + 64*b7*b101 + 
     61*b8*b9 + 55*b8*b10 - 15*b8*b11 + 65*b8*b12 + 51*b8*b13 - 99*b8*b14 + 88*
     b8*b15 - 60*b8*b16 + 34*b8*b17 + 38*b8*b18 + 85*b8*b19 + 100*b8*b20 + 59*
     b8*b21 + 29*b8*b22 - 90*b8*b23 + 47*b8*b24 + 19*b8*b25 + 60*b8*b26 + 80*b8
     *b27 + 100*b8*b28 - 30*b8*b29 + 10*b8*b30 + 4*b8*b31 + 47*b8*b32 - 59*b8*
     b33 - 34*b8*b34 + 28*b8*b35 + 21*b8*b36 + 14*b8*b37 + 28*b8*b38 + 92*b8*
     b39 + 4*b8*b40 + 26*b8*b41 + 43*b8*b42 - 39*b8*b43 + 86*b8*b44 + 43*b8*b45
      + 88*b8*b46 + 67*b8*b47 - 82*b8*b48 + 70*b8*b49 + 73*b8*b50 - 100*b8*b51
      + 39*b8*b52 + 41*b8*b53 + 15*b8*b54 + 91*b8*b55 + 93*b8*b56 - 34*b8*b57
      + 73*b8*b58 + 80*b8*b59 + 96*b8*b60 - 5*b8*b61 + 19*b8*b62 + 69*b8*b63 - 
     100*b8*b64 + 20*b8*b65 + 90*b8*b66 + 16*b8*b67 + 84*b8*b68 + 45*b8*b69 + 
     39*b8*b70 - 20*b8*b71 + 3*b8*b72 + 70*b8*b73 + 29*b8*b74 + 84*b8*b75 + 23*
     b8*b76 - 58*b8*b77 + 63*b8*b78 + 46*b8*b79 + 67*b8*b80 + 38*b8*b81 + 35*b8
     *b82 + 84*b8*b83 - 61*b8*b84 + 68*b8*b85 - 67*b8*b86 + 34*b8*b87 + 92*b8*
     b88 + 95*b8*b89 - 5*b8*b90 - 47*b8*b91 + 18*b8*b92 - 72*b8*b93 + 34*b8*b94
      - 94*b8*b95 - 85*b8*b96 + 56*b8*b97 - 35*b8*b98 - 89*b8*b99 + 72*b8*b100
      - 98*b8*b101 + 95*b9*b10 + 59*b9*b11 + 86*b9*b12 - 61*b9*b13 + 83*b9*b14
      + 21*b9*b15 - 14*b9*b16 + 32*b9*b17 - 13*b9*b18 - 47*b9*b19 + 59*b9*b20
      + 68*b9*b21 + 45*b9*b22 + 92*b9*b23 - 64*b9*b24 + 10*b9*b25 + 20*b9*b26
      + 99*b9*b27 + 24*b9*b28 + 99*b9*b29 + 17*b9*b30 - 59*b9*b31 + 62*b9*b32
      + 29*b9*b33 + 19*b9*b34 + 71*b9*b35 + 81*b9*b36 - 74*b9*b37 + 46*b9*b38
      + 97*b9*b39 + 54*b9*b40 + 71*b9*b41 + 25*b9*b42 + 34*b9*b43 + 28*b9*b44
      - 6*b9*b45 + 50*b9*b46 + 79*b9*b47 + 58*b9*b48 + 37*b9*b49 + 86*b9*b50 + 
     4*b9*b51 + 48*b9*b52 - 42*b9*b53 + 95*b9*b54 - 55*b9*b55 + 95*b9*b56 + 77*
     b9*b57 + 46*b9*b58 + 19*b9*b59 + 93*b9*b60 + 22*b9*b61 + 40*b9*b62 - 4*b9*
     b63 - 10*b9*b64 - 24*b9*b65 - 50*b9*b66 - 12*b9*b67 + 60*b9*b68 + 91*b9*
     b69 - 43*b9*b70 - 6*b9*b71 + 73*b9*b72 + 8*b9*b73 - 95*b9*b74 - 44*b9*b75
      + 54*b9*b76 - 80*b9*b77 - 68*b9*b78 + 41*b9*b79 + 75*b9*b80 + 24*b9*b81
      + 46*b9*b82 + 73*b9*b83 + 40*b9*b84 + 11*b9*b85 + 11*b9*b86 + 24*b9*b87
      - b9*b88 - 54*b9*b89 - 61*b9*b90 + 33*b9*b91 + 13*b9*b92 + 58*b9*b93 + 95
     *b9*b94 + 60*b9*b95 + 17*b9*b96 + 96*b9*b97 + 22*b9*b98 + 67*b9*b99 - 87*
     b9*b100 + 47*b9*b101 + 45*b10*b11 + 85*b10*b12 + 57*b10*b13 + 92*b10*b14
      + 86*b10*b15 + 82*b10*b16 - 88*b10*b17 - 81*b10*b18 - 92*b10*b19 + 54*b10
     *b20 + 27*b10*b21 + 69*b10*b22 - 74*b10*b23 + 12*b10*b24 + 65*b10*b25 + 9*
     b10*b26 + 32*b10*b27 - 58*b10*b28 + 34*b10*b29 + 56*b10*b30 - 26*b10*b31
      + 68*b10*b32 - 79*b10*b33 + 47*b10*b34 + 92*b10*b35 + 29*b10*b36 - 5*b10*
     b37 - 69*b10*b38 - 85*b10*b39 + 90*b10*b40 + 90*b10*b41 + 61*b10*b42 + 95*
     b10*b43 + 13*b10*b44 + 20*b10*b45 - 47*b10*b46 + 9*b10*b47 + 61*b10*b48 + 
     18*b10*b49 + 61*b10*b50 - 11*b10*b51 + 30*b10*b52 - 39*b10*b53 + 93*b10*
     b54 - 29*b10*b55 + 75*b10*b56 - 31*b10*b57 - 44*b10*b58 + 57*b10*b59 + 5*
     b10*b60 + 28*b10*b61 + 76*b10*b62 + 20*b10*b63 + 28*b10*b64 - 95*b10*b65
      + 45*b10*b66 + 77*b10*b67 + 20*b10*b68 + 23*b10*b69 + 41*b10*b70 + 97*b10
     *b71 - 22*b10*b72 + 6*b10*b73 + 56*b10*b74 + 72*b10*b75 - 42*b10*b76 + 14*
     b10*b77 + 88*b10*b78 + 5*b10*b79 - 22*b10*b80 + 2*b10*b81 + 56*b10*b82 + 
     92*b10*b83 + 97*b10*b84 + 90*b10*b85 + 17*b10*b86 - 4*b10*b87 + 17*b10*b88
      + 6*b10*b89 - 23*b10*b90 + 87*b10*b91 + 29*b10*b92 + 84*b10*b93 - 84*b10*
     b94 + 30*b10*b95 - 40*b10*b96 - 23*b10*b97 + 13*b10*b98 + 22*b10*b99 + 83*
     b10*b100 + 47*b10*b101 + b11*b12 + 41*b11*b13 + 63*b11*b14 + 44*b11*b15 + 
     76*b11*b16 + 4*b11*b17 - 81*b11*b18 + 19*b11*b19 - 27*b11*b20 + 73*b11*b21
      + 82*b11*b22 - 61*b11*b23 - 64*b11*b24 + 56*b11*b25 + 44*b11*b26 - 97*b11
     *b27 - 55*b11*b28 + 64*b11*b29 + 36*b11*b30 + 57*b11*b31 + 88*b11*b32 + 66
     *b11*b33 - 47*b11*b34 + 84*b11*b35 + 35*b11*b36 + 39*b11*b37 + 54*b11*b38
      + 10*b11*b39 + 84*b11*b40 - 62*b11*b41 + 70*b11*b42 + 75*b11*b43 - 100*
     b11*b44 + 45*b11*b45 + 49*b11*b46 + 97*b11*b47 + 61*b11*b48 + 56*b11*b49
      - 97*b11*b50 + 32*b11*b51 + 98*b11*b52 + 98*b11*b53 + 24*b11*b54 + 19*b11
     *b55 + 76*b11*b56 + 85*b11*b57 + 42*b11*b58 + 70*b11*b59 + b11*b60 + 27*
     b11*b61 + 67*b11*b62 + 36*b11*b63 + 88*b11*b64 - 38*b11*b65 + 33*b11*b66
      + 66*b11*b67 + 42*b11*b68 + 32*b11*b69 + 23*b11*b70 + 71*b11*b71 + 82*b11
     *b72 + 95*b11*b73 + 18*b11*b74 + 16*b11*b75 - 82*b11*b76 + 18*b11*b77 + 69
     *b11*b78 + 27*b11*b79 + 48*b11*b80 + 92*b11*b81 + 85*b11*b82 - 62*b11*b83
      + 72*b11*b84 + 43*b11*b85 + 95*b11*b86 + 96*b11*b87 - 73*b11*b88 - 3*b11*
     b89 + 6*b11*b90 - 60*b11*b91 + 11*b11*b92 + 86*b11*b93 + 86*b11*b94 - 87*
     b11*b95 - 81*b11*b96 + 18*b11*b97 + 86*b11*b98 + 43*b11*b99 + 76*b11*b100
      + 55*b11*b101 + 3*b12*b13 + 50*b12*b14 + 92*b12*b15 + 68*b12*b16 + 21*b12
     *b17 - 87*b12*b18 + 8*b12*b19 - 14*b12*b20 + 88*b12*b21 + 30*b12*b22 + 81*
     b12*b23 + 33*b12*b24 + 78*b12*b25 + 28*b12*b26 - 64*b12*b27 + 27*b12*b28
      + 36*b12*b29 - 44*b12*b30 + 32*b12*b31 + 27*b12*b32 + 90*b12*b33 - 88*b12
     *b34 + 36*b12*b35 + 42*b12*b36 + 5*b12*b37 - 43*b12*b38 + 18*b12*b39 + 3*
     b12*b40 + 54*b12*b41 + 51*b12*b42 + 64*b12*b43 - 87*b12*b44 + 58*b12*b45
      - 77*b12*b46 + 41*b12*b47 + 93*b12*b48 + 19*b12*b49 + 79*b12*b50 + 85*b12
     *b51 + 81*b12*b52 + 43*b12*b53 + 77*b12*b54 + 50*b12*b55 + 58*b12*b56 + 61
     *b12*b57 + 72*b12*b58 + 89*b12*b59 + 74*b12*b60 + 39*b12*b61 + 87*b12*b62
      + 56*b12*b63 + 14*b12*b64 - 63*b12*b65 - 80*b12*b66 + 64*b12*b67 + 91*b12
     *b68 + 83*b12*b69 - 17*b12*b70 + 98*b12*b71 + 87*b12*b72 + 85*b12*b73 + 86
     *b12*b74 + 19*b12*b75 + 71*b12*b76 + 13*b12*b77 + 89*b12*b78 + 40*b12*b79
      + 94*b12*b80 + 45*b12*b81 + 52*b12*b82 - 85*b12*b83 + 65*b12*b84 + 60*b12
     *b85 + 3*b12*b86 + 58*b12*b87 + 20*b12*b88 + 3*b12*b89 + 16*b12*b90 + 68*
     b12*b91 + 31*b12*b92 + 47*b12*b93 - 53*b12*b94 + 72*b12*b95 + 91*b12*b96
      + 71*b12*b97 + 28*b12*b98 + 87*b12*b99 + 77*b12*b100 - 77*b12*b101 - 7*
     b13*b14 - 73*b13*b15 + 28*b13*b16 - 87*b13*b17 + 48*b13*b18 - 33*b13*b19
      + 38*b13*b20 - 48*b13*b21 + 16*b13*b22 + 88*b13*b23 + 39*b13*b24 + 99*b13
     *b25 - 16*b13*b26 - 13*b13*b27 + 82*b13*b28 + 23*b13*b29 + 27*b13*b30 + 18
     *b13*b31 + 22*b13*b32 + b13*b33 - 10*b13*b34 - 99*b13*b35 + 15*b13*b36 - 
     89*b13*b37 + 17*b13*b38 + 39*b13*b39 - 37*b13*b40 + 76*b13*b41 - 25*b13*
     b42 + 47*b13*b43 + 29*b13*b44 + 98*b13*b45 + 68*b13*b46 - 12*b13*b47 + 23*
     b13*b48 - 10*b13*b49 + 48*b13*b50 + 83*b13*b51 + 5*b13*b52 + 95*b13*b53 - 
     2*b13*b54 + 79*b13*b55 + 73*b13*b56 - 93*b13*b57 + 42*b13*b58 + 55*b13*b59
      + 60*b13*b60 + 28*b13*b61 + 71*b13*b62 - 68*b13*b63 + 3*b13*b64 + 29*b13*
     b65 + 36*b13*b66 - 16*b13*b67 + 85*b13*b68 - 65*b13*b69 + 47*b13*b70 + 75*
     b13*b71 + 49*b13*b72 + 16*b13*b73 + 58*b13*b74 + 63*b13*b75 + 25*b13*b76
      - 96*b13*b77 + 81*b13*b78 - 41*b13*b79 + 44*b13*b80 + 84*b13*b81 - 32*b13
     *b82 + 24*b13*b83 + 61*b13*b84 + 54*b13*b85 + 83*b13*b86 + 25*b13*b87 - 47
     *b13*b88 + 25*b13*b89 - 65*b13*b90 - 24*b13*b91 + 29*b13*b92 + 37*b13*b93
      - 87*b13*b94 - 43*b13*b95 - 97*b13*b96 - 65*b13*b97 + 77*b13*b98 + 48*b13
     *b99 + 80*b13*b100 + 95*b13*b101 + 32*b14*b15 - 45*b14*b16 + 63*b14*b17 + 
     33*b14*b18 + 9*b14*b19 - 69*b14*b20 + 28*b14*b21 + 50*b14*b22 + 33*b14*b23
      - 47*b14*b24 + 74*b14*b25 + 61*b14*b26 + 51*b14*b27 + 39*b14*b28 + 12*b14
     *b29 - 44*b14*b30 + 5*b14*b31 + 25*b14*b32 + 61*b14*b33 + 98*b14*b34 + 65*
     b14*b35 + 10*b14*b36 + 70*b14*b37 + 61*b14*b38 + 54*b14*b39 + 35*b14*b40
      + 23*b14*b41 + 30*b14*b42 + 6*b14*b43 + 55*b14*b44 + 5*b14*b45 + 63*b14*
     b46 - 41*b14*b47 + 80*b14*b48 - 96*b14*b49 + 70*b14*b50 + 43*b14*b51 + 8*
     b14*b52 + 41*b14*b53 - 18*b14*b54 + 79*b14*b55 + 74*b14*b56 + 98*b14*b57
      + 26*b14*b58 + 74*b14*b59 - 23*b14*b60 + 81*b14*b61 + 39*b14*b62 + 24*b14
     *b63 + 22*b14*b64 + 47*b14*b65 + 34*b14*b66 + 26*b14*b67 + 4*b14*b68 + 61*
     b14*b69 + 13*b14*b70 - 24*b14*b71 + 40*b14*b72 + 40*b14*b73 + 75*b14*b74
      - 48*b14*b75 + 91*b14*b76 - 86*b14*b77 + 100*b14*b78 + 51*b14*b79 - 31*
     b14*b80 + 69*b14*b81 - 37*b14*b82 - 57*b14*b83 + 12*b14*b84 + 65*b14*b85
      - 59*b14*b86 + 9*b14*b87 - 9*b14*b88 + 66*b14*b89 + 65*b14*b90 + 84*b14*
     b91 + 92*b14*b92 + 88*b14*b93 + 29*b14*b94 + 17*b14*b95 + 35*b14*b96 + 27*
     b14*b97 + 82*b14*b98 - 16*b14*b99 - 3*b14*b100 + 17*b14*b101 - 68*b15*b16
      + 63*b15*b17 + 77*b15*b18 + 64*b15*b19 - 41*b15*b20 + 48*b15*b21 + 68*b15
     *b22 - 75*b15*b23 + 25*b15*b24 + 59*b15*b25 - 31*b15*b26 + 35*b15*b27 + 19
     *b15*b28 + 58*b15*b29 + 81*b15*b30 + 85*b15*b31 + 3*b15*b32 + 81*b15*b33
      - 75*b15*b34 + 24*b15*b35 + 94*b15*b36 + 98*b15*b37 + 58*b15*b38 - 9*b15*
     b39 + 19*b15*b40 + 93*b15*b41 + 3*b15*b42 + 14*b15*b43 + 28*b15*b44 + 45*
     b15*b45 + 96*b15*b46 + 61*b15*b47 + 28*b15*b48 + 82*b15*b49 + 88*b15*b50
      - 20*b15*b51 + 28*b15*b52 + 94*b15*b53 + 45*b15*b54 + 70*b15*b55 + 72*b15
     *b56 + 65*b15*b57 + 93*b15*b58 + 46*b15*b59 + 52*b15*b60 - 81*b15*b61 - 22
     *b15*b62 + 49*b15*b63 + 85*b15*b64 + 2*b15*b65 + 87*b15*b66 + 4*b15*b67 - 
     42*b15*b68 - 54*b15*b69 + 50*b15*b70 + b15*b71 + 89*b15*b72 - 46*b15*b73
      + 94*b15*b74 - 54*b15*b75 - 84*b15*b76 + 96*b15*b77 + 78*b15*b78 + 6*b15*
     b79 + 26*b15*b80 + 85*b15*b81 - 32*b15*b82 + 29*b15*b83 + 37*b15*b84 + 11*
     b15*b85 + 8*b15*b86 - 11*b15*b87 + 28*b15*b88 + 30*b15*b89 + 3*b15*b90 + 
     70*b15*b91 + 20*b15*b92 + 95*b15*b93 + 8*b15*b94 + 62*b15*b95 + 12*b15*b96
      - 96*b15*b97 + 85*b15*b98 + 20*b15*b99 + 9*b15*b100 + 59*b15*b101 + 92*
     b16*b17 + 65*b16*b18 + 28*b16*b19 + 92*b16*b20 + 80*b16*b21 + 68*b16*b22
      + 77*b16*b23 - 99*b16*b24 + 66*b16*b25 - 69*b16*b26 + 5*b16*b27 + 24*b16*
     b28 + 44*b16*b29 + 62*b16*b30 + 24*b16*b31 + 72*b16*b32 - 40*b16*b33 + 86*
     b16*b34 + 33*b16*b35 + 49*b16*b36 + 41*b16*b37 + 14*b16*b38 + 81*b16*b39
      + 4*b16*b40 + 23*b16*b41 - 75*b16*b42 - 40*b16*b43 - 20*b16*b44 + 40*b16*
     b45 + 38*b16*b46 + 52*b16*b47 + 82*b16*b48 + 97*b16*b49 - 13*b16*b50 + 99*
     b16*b51 - 45*b16*b52 + 80*b16*b53 + 59*b16*b54 + 26*b16*b55 + 11*b16*b56
      - 86*b16*b57 - 79*b16*b58 + 83*b16*b59 + 11*b16*b60 + 82*b16*b61 - 41*b16
     *b62 + 57*b16*b63 + 79*b16*b64 - 92*b16*b65 + 87*b16*b66 - 4*b16*b67 + 32*
     b16*b68 + 45*b16*b69 + 48*b16*b70 + 55*b16*b71 - 71*b16*b72 + 94*b16*b73
      + 20*b16*b74 + 99*b16*b75 - 2*b16*b76 - 78*b16*b77 - 17*b16*b78 - 67*b16*
     b79 + 91*b16*b80 - 86*b16*b81 - 51*b16*b82 + 60*b16*b83 + 77*b16*b84 + 27*
     b16*b85 + 74*b16*b86 + 33*b16*b87 + 25*b16*b88 + 45*b16*b89 - 54*b16*b90
      + 26*b16*b91 + 26*b16*b92 + 100*b16*b93 + 40*b16*b94 + 37*b16*b95 + 75*
     b16*b96 + 59*b16*b97 + 63*b16*b98 + 10*b16*b99 + 74*b16*b100 - 14*b16*b101
      + 68*b17*b18 + 95*b17*b19 - 24*b17*b20 + 88*b17*b21 + 85*b17*b22 + 35*b17
     *b23 - 19*b17*b24 + 52*b17*b25 - 3*b17*b26 - 40*b17*b27 - 61*b17*b28 + 53*
     b17*b29 + 20*b17*b30 - 62*b17*b31 + 49*b17*b32 + 44*b17*b33 - 73*b17*b34
      + 60*b17*b35 - 80*b17*b36 + 76*b17*b37 + 63*b17*b38 + 25*b17*b39 + 47*b17
     *b40 + 90*b17*b41 - 67*b17*b42 + 77*b17*b43 - 32*b17*b44 + 51*b17*b45 + 94
     *b17*b46 + 96*b17*b47 - 91*b17*b48 + 10*b17*b49 + 80*b17*b50 + 63*b17*b51
      - 19*b17*b52 - 26*b17*b53 + 52*b17*b54 - 13*b17*b55 + 82*b17*b56 + 99*b17
     *b57 + 87*b17*b58 + 75*b17*b59 - 8*b17*b60 + 21*b17*b61 + 93*b17*b62 - 95*
     b17*b63 + 6*b17*b64 + 50*b17*b65 + 24*b17*b66 + 99*b17*b67 + 3*b17*b68 + 
     74*b17*b69 + 29*b17*b70 + 4*b17*b71 + 92*b17*b72 - 58*b17*b73 - 82*b17*b74
      + 48*b17*b75 + 61*b17*b76 + 94*b17*b77 + 35*b17*b78 - 87*b17*b79 + 44*b17
     *b80 + 28*b17*b81 + b17*b82 + 61*b17*b83 + 53*b17*b84 - 60*b17*b85 + 72*
     b17*b86 + 91*b17*b87 - 22*b17*b88 + 45*b17*b89 - 83*b17*b90 + 95*b17*b91
      + 11*b17*b92 + 47*b17*b93 - 81*b17*b94 + 36*b17*b95 + 74*b17*b96 + 43*b17
     *b97 + 92*b17*b98 + 28*b17*b99 + 90*b17*b100 + 24*b17*b101 + 54*b18*b19 + 
     28*b18*b20 + 65*b18*b21 + 81*b18*b22 + 63*b18*b23 + 42*b18*b24 + 68*b18*
     b25 + 69*b18*b26 + 26*b18*b27 - 23*b18*b28 + 70*b18*b29 + 24*b18*b30 + 73*
     b18*b31 + 56*b18*b32 - 41*b18*b33 + 26*b18*b34 + 97*b18*b35 + 73*b18*b36
      + 24*b18*b37 + 8*b18*b38 + 81*b18*b39 + 62*b18*b40 + 42*b18*b41 + 47*b18*
     b42 + 85*b18*b43 + 17*b18*b44 + 90*b18*b45 + 66*b18*b46 + 42*b18*b47 - 27*
     b18*b48 + 52*b18*b49 + 80*b18*b50 + 57*b18*b51 + 8*b18*b52 + 58*b18*b53 - 
     70*b18*b54 + 69*b18*b55 + 37*b18*b56 + 61*b18*b57 - 28*b18*b58 + 55*b18*
     b59 + 51*b18*b60 + 83*b18*b61 + 58*b18*b62 + 89*b18*b63 - 57*b18*b64 + 41*
     b18*b65 - 39*b18*b66 - 41*b18*b67 - 29*b18*b68 + 66*b18*b69 + 39*b18*b70
      + 82*b18*b71 - 95*b18*b72 + 61*b18*b73 + 91*b18*b74 - 65*b18*b75 - 11*b18
     *b76 + 62*b18*b77 + 22*b18*b78 + 9*b18*b79 + 94*b18*b80 + 66*b18*b81 + 97*
     b18*b82 - 30*b18*b83 + 7*b18*b84 + 28*b18*b85 + 32*b18*b86 + 71*b18*b87 + 
     54*b18*b88 + 99*b18*b89 + 50*b18*b90 + 90*b18*b91 + 13*b18*b92 - 32*b18*
     b93 + 4*b18*b94 - 16*b18*b95 + 40*b18*b96 + 81*b18*b97 + 43*b18*b98 + 14*
     b18*b99 - 9*b18*b100 - 94*b18*b101 + 53*b19*b20 + 18*b19*b21 + 99*b19*b22
      + 2*b19*b23 - 35*b19*b24 + 59*b19*b25 + 93*b19*b26 - 85*b19*b27 + 34*b19*
     b28 + 45*b19*b29 + 36*b19*b30 - 10*b19*b31 + 87*b19*b32 + 27*b19*b33 + 67*
     b19*b34 + 90*b19*b35 + 87*b19*b36 + 24*b19*b37 - 27*b19*b38 + 84*b19*b39
      - 68*b19*b40 + 59*b19*b41 + 37*b19*b42 + 9*b19*b43 + 46*b19*b44 - 43*b19*
     b45 + 30*b19*b46 + 59*b19*b47 + 78*b19*b48 - 66*b19*b49 + 8*b19*b50 + 14*
     b19*b51 - 14*b19*b52 + 83*b19*b53 + 67*b19*b54 - 52*b19*b55 + 13*b19*b56
      + 50*b19*b57 + 5*b19*b58 + 70*b19*b59 + 63*b19*b60 - 31*b19*b61 + 20*b19*
     b62 + 11*b19*b63 + 78*b19*b64 + 45*b19*b65 + 30*b19*b66 + 36*b19*b67 + 100
     *b19*b68 + 34*b19*b69 - 88*b19*b70 + 55*b19*b71 + 47*b19*b72 + 52*b19*b73
      + 14*b19*b74 + 52*b19*b75 + 38*b19*b76 + 19*b19*b77 + 76*b19*b78 + 6*b19*
     b79 + 4*b19*b80 - 42*b19*b81 - 13*b19*b82 + 28*b19*b83 + 99*b19*b84 - 81*
     b19*b85 - 98*b19*b86 - 90*b19*b87 + 91*b19*b88 + 46*b19*b89 - 14*b19*b90
      + 84*b19*b91 + 32*b19*b92 + 60*b19*b93 + 83*b19*b94 + 63*b19*b95 + 19*b19
     *b96 + 24*b19*b97 + 33*b19*b98 - 94*b19*b99 + 16*b19*b100 + 69*b19*b101 + 
     65*b20*b21 + 61*b20*b22 + 50*b20*b23 + 63*b20*b24 + 56*b20*b25 + 18*b20*
     b26 - b20*b27 - 97*b20*b28 + 46*b20*b29 + 21*b20*b30 + 67*b20*b31 + 99*b20
     *b32 + 47*b20*b33 + 34*b20*b34 + 22*b20*b35 - 79*b20*b36 + 11*b20*b37 + 92
     *b20*b38 + 98*b20*b39 + 28*b20*b40 + b20*b41 + 43*b20*b42 - 74*b20*b43 + 
     35*b20*b44 + b20*b45 + 86*b20*b46 - 51*b20*b47 - 19*b20*b48 + 80*b20*b49
      + 11*b20*b50 - 6*b20*b51 + 86*b20*b52 - 80*b20*b53 - 80*b20*b54 + 83*b20*
     b55 + 29*b20*b56 + 4*b20*b57 + 87*b20*b58 + 13*b20*b59 + 99*b20*b60 + 77*
     b20*b61 - 81*b20*b62 - 72*b20*b63 + 76*b20*b64 + 2*b20*b65 + 51*b20*b66 - 
     78*b20*b67 + 27*b20*b68 + 16*b20*b69 - 34*b20*b70 + 17*b20*b71 + 33*b20*
     b72 + 37*b20*b73 + 100*b20*b74 + 93*b20*b75 + 63*b20*b76 - 85*b20*b77 + 99
     *b20*b78 + 45*b20*b79 + 58*b20*b80 + 63*b20*b81 - 5*b20*b82 + 47*b20*b83
      + 50*b20*b84 + 88*b20*b85 + 61*b20*b86 + 49*b20*b87 + 75*b20*b88 + 16*b20
     *b89 + 39*b20*b90 + 23*b20*b91 + 28*b20*b92 + 47*b20*b93 + 15*b20*b94 + 52
     *b20*b95 + 88*b20*b96 + 84*b20*b97 + 59*b20*b98 + 74*b20*b99 + 93*b20*b100
      + 94*b20*b101 - 17*b21*b22 - 49*b21*b23 + 32*b21*b24 + 17*b21*b25 - 24*
     b21*b26 + 74*b21*b27 + 51*b21*b28 + 82*b21*b29 - 14*b21*b30 + 41*b21*b31
      + 51*b21*b32 + 97*b21*b33 + 55*b21*b34 - 20*b21*b35 + 35*b21*b36 + 3*b21*
     b37 + 60*b21*b38 + 95*b21*b39 + 19*b21*b40 - 64*b21*b41 + 54*b21*b42 + 98*
     b21*b43 - 8*b21*b44 + 21*b21*b45 + 63*b21*b46 + 73*b21*b47 + 37*b21*b48 + 
     26*b21*b49 - 43*b21*b50 - 41*b21*b51 - 63*b21*b52 + 80*b21*b53 + 98*b21*
     b54 + 68*b21*b55 + 89*b21*b56 + 62*b21*b57 + 19*b21*b58 + 46*b21*b59 + 41*
     b21*b60 + 98*b21*b61 + 30*b21*b62 + 21*b21*b63 - 91*b21*b64 + 9*b21*b65 + 
     47*b21*b66 + 61*b21*b67 + 96*b21*b68 + 34*b21*b69 + 18*b21*b70 + 13*b21*
     b71 + 83*b21*b72 + 48*b21*b73 + 37*b21*b74 - 78*b21*b75 + 62*b21*b76 - 32*
     b21*b77 + 45*b21*b78 - 9*b21*b79 + 2*b21*b80 - 19*b21*b81 - 71*b21*b82 + 
     61*b21*b83 + 71*b21*b84 - 11*b21*b85 + 47*b21*b86 - 46*b21*b87 - 100*b21*
     b88 - 82*b21*b89 + 89*b21*b90 + 17*b21*b91 + 86*b21*b92 - 93*b21*b93 + 4*
     b21*b94 + 68*b21*b95 + 22*b21*b96 - 56*b21*b97 + 16*b21*b98 + 58*b21*b99
      + 62*b21*b100 + 79*b21*b101 + 42*b22*b23 - 40*b22*b24 + 69*b22*b25 + 81*
     b22*b26 - 36*b22*b27 + 59*b22*b28 + 96*b22*b29 - 2*b22*b30 + 55*b22*b31 - 
     55*b22*b32 + 58*b22*b33 + 68*b22*b34 - 78*b22*b35 - 63*b22*b36 + 96*b22*
     b37 - 2*b22*b38 - 17*b22*b39 - 82*b22*b40 + 66*b22*b41 + 93*b22*b42 + 58*
     b22*b43 + 73*b22*b44 + 5*b22*b45 + 4*b22*b46 + 46*b22*b47 + 88*b22*b48 + 
     72*b22*b49 + 28*b22*b50 + 84*b22*b51 - 44*b22*b52 + 83*b22*b53 + 68*b22*
     b54 + 39*b22*b55 + 35*b22*b56 - 62*b22*b57 + 9*b22*b58 - 82*b22*b59 + 75*
     b22*b60 + 7*b22*b61 + 97*b22*b62 + 40*b22*b63 + 59*b22*b64 - 91*b22*b65 + 
     16*b22*b66 + 27*b22*b67 + 4*b22*b68 + 5*b22*b69 + 11*b22*b70 - 71*b22*b71
      - 98*b22*b72 + 28*b22*b73 + 54*b22*b74 + 39*b22*b75 - 46*b22*b76 - 10*b22
     *b77 + 100*b22*b78 + 30*b22*b79 + 64*b22*b80 - 95*b22*b81 + 97*b22*b82 + 
     90*b22*b83 - 34*b22*b84 - 75*b22*b85 - 88*b22*b86 + 45*b22*b87 + 81*b22*
     b88 + 95*b22*b89 + 80*b22*b90 - 15*b22*b91 + 29*b22*b92 - 24*b22*b93 + 25*
     b22*b94 - 90*b22*b95 - 77*b22*b96 + 18*b22*b97 + 58*b22*b98 + 77*b22*b99
      + 53*b22*b100 + 91*b22*b101 + b23*b24 - 78*b23*b25 + 7*b23*b26 + 67*b23*
     b27 - 57*b23*b28 + 68*b23*b29 - 57*b23*b30 - 69*b23*b31 + 95*b23*b32 + 20*
     b23*b33 - 95*b23*b34 + 48*b23*b35 + 96*b23*b36 + 98*b23*b37 - 79*b23*b38
      + 93*b23*b39 + 24*b23*b40 - 64*b23*b41 + 93*b23*b42 + 20*b23*b43 - 11*b23
     *b44 + 90*b23*b45 + 29*b23*b46 + 99*b23*b47 + 16*b23*b48 + 98*b23*b49 - 6*
     b23*b50 + 65*b23*b51 + 73*b23*b52 + 6*b23*b53 - 51*b23*b54 + 86*b23*b55 + 
     19*b23*b56 + 7*b23*b57 - 78*b23*b58 + 64*b23*b59 + 17*b23*b60 + 58*b23*b61
      + 62*b23*b62 - 21*b23*b63 + 25*b23*b64 - 91*b23*b65 + 15*b23*b66 + 88*b23
     *b67 - 18*b23*b68 + 93*b23*b69 - 42*b23*b70 + 97*b23*b71 + 26*b23*b72 + 74
     *b23*b73 + 33*b23*b74 + 95*b23*b75 + 41*b23*b76 + 95*b23*b77 + 60*b23*b78
      + 32*b23*b79 + 84*b23*b80 - 71*b23*b81 + 29*b23*b82 - 88*b23*b83 - 2*b23*
     b84 - 69*b23*b85 + 58*b23*b86 + 54*b23*b87 + 20*b23*b88 + 91*b23*b89 + 16*
     b23*b90 + 53*b23*b91 + 41*b23*b92 + 62*b23*b93 + 13*b23*b94 - 89*b23*b95
      + 19*b23*b96 + 46*b23*b97 + 20*b23*b98 + 97*b23*b99 + 66*b23*b100 + 67*
     b23*b101 + 30*b24*b25 + 10*b24*b26 + 98*b24*b27 + 52*b24*b28 + 89*b24*b29
      + 73*b24*b30 - 3*b24*b31 + 33*b24*b32 + 31*b24*b33 + 64*b24*b34 + 83*b24*
     b35 + 47*b24*b36 + 46*b24*b37 + 74*b24*b38 + 8*b24*b39 + 86*b24*b40 - 11*
     b24*b41 + 37*b24*b42 + 47*b24*b43 - 25*b24*b44 + 44*b24*b45 - 67*b24*b46
      - 35*b24*b47 + 14*b24*b48 + 72*b24*b49 + 65*b24*b50 + 89*b24*b51 + 8*b24*
     b52 + 6*b24*b53 + 45*b24*b54 - 73*b24*b55 + b24*b56 - 77*b24*b57 + 96*b24*
     b58 + 28*b24*b59 + 61*b24*b60 + 21*b24*b61 + 74*b24*b62 - 26*b24*b63 + 23*
     b24*b64 + 67*b24*b65 + 56*b24*b66 + b24*b67 + 93*b24*b68 - 48*b24*b69 + 70
     *b24*b70 + 71*b24*b71 + 8*b24*b72 + 10*b24*b73 - 21*b24*b74 + 26*b24*b75
      - 65*b24*b76 + 60*b24*b77 - 56*b24*b78 + 76*b24*b79 - 34*b24*b80 + 68*b24
     *b81 + 100*b24*b82 - 56*b24*b83 + 26*b24*b84 + 34*b24*b85 + 27*b24*b86 + 
     69*b24*b87 + 3*b24*b88 + 40*b24*b89 + 20*b24*b90 + 8*b24*b91 + 15*b24*b92
      + 73*b24*b93 - 3*b24*b94 - 52*b24*b95 + 93*b24*b96 - 29*b24*b97 + 92*b24*
     b98 + 36*b24*b99 + 39*b24*b100 + 16*b24*b101 + 73*b25*b26 + 51*b25*b27 + 
     67*b25*b28 + b25*b29 + 59*b25*b30 + 73*b25*b31 + 26*b25*b32 + 48*b25*b33
      + 44*b25*b34 + 17*b25*b35 - 22*b25*b36 + 79*b25*b37 + 33*b25*b38 + 82*b25
     *b39 + 35*b25*b40 + 39*b25*b41 + 85*b25*b42 + 85*b25*b43 - 83*b25*b44 - 40
     *b25*b45 + 45*b25*b46 + 18*b25*b47 + 8*b25*b48 + 99*b25*b49 + 68*b25*b50
      + 90*b25*b51 + 15*b25*b52 + 54*b25*b53 - 35*b25*b54 + 21*b25*b55 + 87*b25
     *b56 + 28*b25*b57 + 52*b25*b58 + 26*b25*b59 + 49*b25*b60 - 27*b25*b61 - 77
     *b25*b62 - 64*b25*b63 + 65*b25*b64 + 39*b25*b65 + 80*b25*b66 + 72*b25*b67
      - 97*b25*b68 + 45*b25*b69 + 15*b25*b70 + 51*b25*b71 + 76*b25*b72 + 77*b25
     *b73 + 94*b25*b74 - 13*b25*b75 - 19*b25*b76 + 87*b25*b77 + 87*b25*b78 + 84
     *b25*b79 + 15*b25*b80 + 34*b25*b81 + 50*b25*b82 + 44*b25*b83 - 86*b25*b84
      + 28*b25*b85 + 52*b25*b86 - 5*b25*b87 + 12*b25*b88 + 59*b25*b89 + 87*b25*
     b90 + 51*b25*b91 + 62*b25*b92 - 4*b25*b93 - 91*b25*b94 + 2*b25*b95 - 9*b25
     *b96 + 55*b25*b97 - 95*b25*b98 - 8*b25*b99 - 85*b25*b100 - 84*b25*b101 + 
     17*b26*b27 + 19*b26*b28 - 73*b26*b29 + 85*b26*b30 + 48*b26*b31 + 15*b26*
     b32 + 24*b26*b33 + 12*b26*b34 + 57*b26*b35 + 22*b26*b36 + 3*b26*b37 - 27*
     b26*b38 - 77*b26*b39 + 29*b26*b40 + 72*b26*b41 + b26*b42 + 3*b26*b43 + 21*
     b26*b44 + 48*b26*b45 + 85*b26*b46 + 92*b26*b47 + 7*b26*b48 + 22*b26*b49 + 
     32*b26*b50 + 34*b26*b51 + 47*b26*b52 + 33*b26*b53 + 84*b26*b54 + 10*b26*
     b55 + 22*b26*b56 + 75*b26*b57 - 73*b26*b58 - 44*b26*b59 + 4*b26*b60 - 98*
     b26*b61 + 89*b26*b62 - 92*b26*b63 + 7*b26*b64 - 16*b26*b65 + 42*b26*b66 + 
     94*b26*b67 - 36*b26*b68 + 16*b26*b69 - 87*b26*b70 + 83*b26*b71 + 10*b26*
     b72 - 85*b26*b73 + 87*b26*b74 - 27*b26*b75 + 23*b26*b76 + 78*b26*b77 + 16*
     b26*b78 + 58*b26*b79 + 33*b26*b80 + 63*b26*b81 + 74*b26*b82 + 18*b26*b83
      + 86*b26*b84 + 80*b26*b85 + 62*b26*b86 + 83*b26*b87 + 72*b26*b88 + 5*b26*
     b89 + 46*b26*b90 + 99*b26*b91 + 6*b26*b92 + 79*b26*b93 - 49*b26*b94 - 46*
     b26*b95 + 60*b26*b96 - 60*b26*b97 - 67*b26*b98 + 46*b26*b99 + 10*b26*b100
      + 75*b26*b101 + 39*b27*b28 + 94*b27*b29 + 75*b27*b30 + 71*b27*b31 + 80*
     b27*b32 + 92*b27*b33 + 50*b27*b34 - 9*b27*b35 + 9*b27*b36 + 31*b27*b37 - 
     65*b27*b38 + 53*b27*b39 - 67*b27*b40 + 83*b27*b41 + 75*b27*b42 + 51*b27*
     b43 - 18*b27*b44 - 79*b27*b45 + 46*b27*b46 + 17*b27*b47 + 22*b27*b48 + 14*
     b27*b49 + 30*b27*b50 + 21*b27*b51 + 80*b27*b52 - 58*b27*b53 + 93*b27*b54
      + 28*b27*b55 + 60*b27*b56 - 38*b27*b57 - 71*b27*b58 + 3*b27*b59 - 85*b27*
     b60 + 33*b27*b61 + 81*b27*b62 + 7*b27*b63 + 8*b27*b64 + 77*b27*b65 + 47*
     b27*b66 - 75*b27*b67 + 52*b27*b68 - 74*b27*b69 + 94*b27*b70 + 6*b27*b71 + 
     15*b27*b72 + 43*b27*b73 + 83*b27*b74 + 77*b27*b75 + 25*b27*b76 + b27*b77
      + 61*b27*b78 + 12*b27*b79 + 31*b27*b80 - 57*b27*b81 + 89*b27*b82 - 55*b27
     *b83 + 15*b27*b84 + 39*b27*b85 + 81*b27*b86 + 17*b27*b87 + 86*b27*b88 + 83
     *b27*b89 + 4*b27*b90 - 39*b27*b91 + 72*b27*b92 - 90*b27*b93 + 98*b27*b94
      + 5*b27*b95 + 92*b27*b96 + 5*b27*b97 + 92*b27*b98 + 75*b27*b99 + 90*b27*
     b100 + 17*b27*b101 - 56*b28*b29 - 16*b28*b30 + 45*b28*b31 - 14*b28*b32 + 
     62*b28*b33 + 32*b28*b34 + 43*b28*b35 - 69*b28*b36 + 73*b28*b37 + 19*b28*
     b38 + 34*b28*b39 - 48*b28*b40 + 37*b28*b41 + 34*b28*b42 + 35*b28*b43 + 96*
     b28*b44 + 87*b28*b45 - 88*b28*b46 + 14*b28*b47 + 35*b28*b48 + 56*b28*b49
      + 59*b28*b50 + 39*b28*b51 + 41*b28*b52 + 52*b28*b53 - 79*b28*b54 - 86*b28
     *b55 + 61*b28*b56 + b28*b57 - 49*b28*b58 - 48*b28*b59 - 81*b28*b60 + 59*
     b28*b61 + 21*b28*b62 + 20*b28*b63 + 98*b28*b64 + 24*b28*b65 + 25*b28*b66
      + 88*b28*b67 + 77*b28*b68 + 77*b28*b69 + 24*b28*b70 + 85*b28*b71 + 36*b28
     *b72 + 82*b28*b73 - 76*b28*b74 + 32*b28*b75 + 18*b28*b76 + 24*b28*b77 - 66
     *b28*b78 + 96*b28*b79 + 70*b28*b80 + 23*b28*b81 + 33*b28*b82 + 64*b28*b83
      + 49*b28*b84 + 68*b28*b85 + 53*b28*b86 + 59*b28*b87 + 41*b28*b88 + 76*b28
     *b89 + 20*b28*b90 + 23*b28*b91 - 49*b28*b92 + 27*b28*b93 + 45*b28*b94 + 28
     *b28*b95 + 94*b28*b96 + 12*b28*b97 + 12*b28*b98 + 39*b28*b99 + 14*b28*b100
      + 35*b28*b101 - 13*b29*b30 + 11*b29*b31 - 85*b29*b32 + 72*b29*b33 + 45*
     b29*b34 + 94*b29*b35 + 44*b29*b36 + 10*b29*b37 - 46*b29*b38 + 54*b29*b39
      + 91*b29*b40 + 17*b29*b41 + 92*b29*b42 + 66*b29*b43 + 64*b29*b44 + 75*b29
     *b45 - 46*b29*b46 + 81*b29*b47 + 23*b29*b48 + 86*b29*b49 + 98*b29*b50 - 63
     *b29*b51 + 55*b29*b52 - 33*b29*b53 + 12*b29*b54 + 39*b29*b55 + 55*b29*b56
      + 9*b29*b57 + 13*b29*b58 + 2*b29*b59 + 26*b29*b60 + 3*b29*b61 - 65*b29*
     b62 - b29*b63 + 87*b29*b64 + 5*b29*b65 + 69*b29*b66 + 81*b29*b67 + 90*b29*
     b68 + 74*b29*b69 + 55*b29*b70 + 56*b29*b71 + 70*b29*b72 - 6*b29*b73 + 89*
     b29*b74 + 9*b29*b75 + 40*b29*b76 + 85*b29*b77 + 46*b29*b78 - 91*b29*b79 + 
     75*b29*b80 - 72*b29*b81 + 14*b29*b82 + 69*b29*b83 - 69*b29*b84 + 56*b29*
     b85 + 58*b29*b86 - 84*b29*b87 + 78*b29*b88 + 13*b29*b89 + b29*b90 + 81*b29
     *b91 + 84*b29*b92 - 95*b29*b93 - 6*b29*b94 - 17*b29*b95 - 32*b29*b96 - 26*
     b29*b97 + 92*b29*b98 + 51*b29*b99 + 39*b29*b100 - 83*b29*b101 + 73*b30*b31
      + 75*b30*b32 - 8*b30*b33 + 69*b30*b34 + 59*b30*b35 - 51*b30*b36 + 17*b30*
     b37 + 28*b30*b38 + 82*b30*b39 + 53*b30*b40 + 32*b30*b41 + 13*b30*b42 + 75*
     b30*b43 + 82*b30*b44 + 73*b30*b45 + 9*b30*b46 + 35*b30*b47 - 48*b30*b48 + 
     73*b30*b49 + 53*b30*b50 + 16*b30*b51 - 78*b30*b52 + 99*b30*b53 + 58*b30*
     b54 + 48*b30*b55 + 96*b30*b56 + 92*b30*b57 + 5*b30*b58 + 23*b30*b59 + 31*
     b30*b60 - 55*b30*b61 + 44*b30*b62 - 78*b30*b63 + 34*b30*b64 + 6*b30*b65 + 
     34*b30*b66 + 92*b30*b67 + 9*b30*b68 + 67*b30*b69 + 26*b30*b70 + 31*b30*b71
      + 97*b30*b72 + 33*b30*b73 + 92*b30*b74 + 91*b30*b75 - 53*b30*b76 - 65*b30
     *b77 - 37*b30*b78 + 87*b30*b79 + 45*b30*b80 + 7*b30*b81 + 69*b30*b82 + 40*
     b30*b83 + 44*b30*b84 + 46*b30*b85 + 71*b30*b86 + 93*b30*b87 + 2*b30*b88 - 
     72*b30*b89 + 31*b30*b90 - 19*b30*b91 + 59*b30*b92 - 32*b30*b93 + 29*b30*
     b94 + 17*b30*b95 + 14*b30*b96 + 54*b30*b97 - 77*b30*b98 + 63*b30*b99 + 50*
     b30*b100 + 92*b30*b101 - 89*b31*b32 - 43*b31*b33 + 9*b31*b34 + 35*b31*b35
      + 28*b31*b36 + 74*b31*b37 + 39*b31*b38 + 84*b31*b39 + 75*b31*b40 + 92*b31
     *b41 + 27*b31*b42 + 74*b31*b43 + 90*b31*b44 - 26*b31*b45 + 97*b31*b46 + 64
     *b31*b47 + 100*b31*b48 + 78*b31*b49 + 24*b31*b50 + 99*b31*b51 + 16*b31*b52
      + 40*b31*b53 + 29*b31*b54 + 74*b31*b55 + 27*b31*b56 + 94*b31*b57 + 62*b31
     *b58 + 7*b31*b59 + 4*b31*b60 + 95*b31*b61 + 48*b31*b62 - 40*b31*b63 + 67*
     b31*b64 - 7*b31*b65 + 81*b31*b66 + 92*b31*b67 - 80*b31*b68 + 54*b31*b69 - 
     58*b31*b70 - 62*b31*b71 + 96*b31*b72 + 88*b31*b73 - 75*b31*b74 + 12*b31*
     b75 + 77*b31*b76 + 81*b31*b77 + 67*b31*b78 + 74*b31*b79 + 88*b31*b80 + 75*
     b31*b81 + 88*b31*b82 + 68*b31*b83 + 53*b31*b84 + 75*b31*b85 - 52*b31*b86
      - 93*b31*b87 - 96*b31*b88 + 7*b31*b89 + 25*b31*b90 + 99*b31*b91 + 76*b31*
     b92 + 28*b31*b93 + 2*b31*b94 + 28*b31*b95 + 85*b31*b96 + 61*b31*b97 - 24*
     b31*b98 - 40*b31*b99 + 52*b31*b100 + 86*b31*b101 + 6*b32*b33 + 53*b32*b34
      + 62*b32*b35 + 70*b32*b36 + 30*b32*b37 + 91*b32*b38 + 50*b32*b39 + 51*b32
     *b40 - 72*b32*b41 + 92*b32*b42 + 84*b32*b43 + 80*b32*b44 + 83*b32*b45 + 83
     *b32*b46 + 89*b32*b47 - 89*b32*b48 - 3*b32*b49 + 47*b32*b50 + 52*b32*b51
      + 2*b32*b52 + 36*b32*b53 + 90*b32*b54 + 63*b32*b55 - 88*b32*b56 + 70*b32*
     b57 + 93*b32*b58 + 34*b32*b59 + 11*b32*b60 + 95*b32*b61 - b32*b62 + 18*b32
     *b63 + 29*b32*b64 + 34*b32*b65 + 35*b32*b66 - 42*b32*b67 + 70*b32*b68 + 33
     *b32*b69 + 66*b32*b70 + 2*b32*b71 + 32*b32*b72 + 35*b32*b73 + 75*b32*b74
      - 48*b32*b75 - 35*b32*b76 - 83*b32*b77 - 77*b32*b78 + 28*b32*b79 + 19*b32
     *b80 + 31*b32*b81 + b32*b82 + 93*b32*b83 - 53*b32*b84 + 32*b32*b85 + 23*
     b32*b86 + 22*b32*b87 + 56*b32*b88 + 82*b32*b89 - 27*b32*b90 + 68*b32*b91
      + 75*b32*b92 + 100*b32*b93 - b32*b94 + 8*b32*b95 + 43*b32*b96 + 75*b32*
     b97 + 63*b32*b98 + 65*b32*b99 - 44*b32*b100 + 85*b32*b101 + 81*b33*b34 + 
     24*b33*b35 + 66*b33*b36 + 19*b33*b37 - 86*b33*b38 + 57*b33*b39 + 87*b33*
     b40 - 15*b33*b41 + 38*b33*b42 - 57*b33*b43 + 13*b33*b44 + 22*b33*b45 + 50*
     b33*b46 - 41*b33*b47 + 86*b33*b48 + 12*b33*b49 - 83*b33*b50 - 54*b33*b51
      + 92*b33*b52 + 43*b33*b53 - 9*b33*b54 + 40*b33*b55 + 58*b33*b56 - 85*b33*
     b57 - 29*b33*b58 + 74*b33*b59 + 24*b33*b60 + 67*b33*b61 + 37*b33*b62 + 18*
     b33*b63 - 32*b33*b64 + 40*b33*b65 - 68*b33*b66 + 65*b33*b67 + 17*b33*b68
      - 91*b33*b69 + 58*b33*b70 + 76*b33*b71 + 36*b33*b72 + 62*b33*b73 - 53*b33
     *b74 + 56*b33*b75 + 86*b33*b76 + 52*b33*b77 + 81*b33*b78 + 44*b33*b79 + 54
     *b33*b80 + 29*b33*b81 - 80*b33*b82 - 35*b33*b83 + 51*b33*b84 + 24*b33*b85
      - 7*b33*b86 + 27*b33*b87 - 11*b33*b88 + 58*b33*b89 + 26*b33*b90 + 42*b33*
     b91 + 39*b33*b92 + 34*b33*b93 + 66*b33*b94 + 34*b33*b95 + 64*b33*b96 - 44*
     b33*b97 - 6*b33*b98 + 90*b33*b99 + 3*b33*b100 + 68*b33*b101 + 16*b34*b35
      - 3*b34*b36 + 85*b34*b37 + 92*b34*b38 - 76*b34*b39 + 73*b34*b40 + 29*b34*
     b41 + 36*b34*b42 + 87*b34*b43 + 18*b34*b44 + 30*b34*b45 - 96*b34*b46 + 43*
     b34*b47 - 95*b34*b48 + 53*b34*b49 + 58*b34*b50 + 59*b34*b51 + 45*b34*b52
      + 23*b34*b53 - 4*b34*b54 - 72*b34*b55 + 16*b34*b56 + 34*b34*b57 + 47*b34*
     b58 + 20*b34*b59 + 73*b34*b60 + 80*b34*b61 + 88*b34*b62 + 56*b34*b63 + 20*
     b34*b64 - 47*b34*b65 + 76*b34*b66 + 89*b34*b67 + 99*b34*b68 + 60*b34*b69
      + 61*b34*b70 - 31*b34*b71 + 32*b34*b72 + 28*b34*b73 - 36*b34*b74 + 97*b34
     *b75 + 100*b34*b76 - 28*b34*b77 - 98*b34*b78 + 21*b34*b79 + 91*b34*b80 + 
     98*b34*b81 - 24*b34*b82 + 91*b34*b83 + 48*b34*b84 + 29*b34*b85 + 33*b34*
     b86 + 89*b34*b87 + 26*b34*b88 + 97*b34*b89 - 66*b34*b90 + 21*b34*b91 + 21*
     b34*b92 + 53*b34*b93 + 82*b34*b94 + 39*b34*b95 + 44*b34*b96 + 43*b34*b97
      - 21*b34*b98 + 94*b34*b99 + 86*b34*b100 + 80*b34*b101 + 84*b35*b36 + 34*
     b35*b37 + 35*b35*b38 + 22*b35*b39 + 23*b35*b40 - 66*b35*b41 + 41*b35*b42
      + 65*b35*b43 + 94*b35*b44 - 98*b35*b45 - 38*b35*b46 + 9*b35*b47 + 76*b35*
     b48 + 81*b35*b49 + 27*b35*b50 + 80*b35*b51 + 80*b35*b52 + 70*b35*b53 - 95*
     b35*b54 + 67*b35*b55 - 84*b35*b56 + 64*b35*b57 + 53*b35*b58 - 50*b35*b59
      - 82*b35*b60 + 87*b35*b61 - 91*b35*b62 + 80*b35*b63 + 48*b35*b64 + 79*b35
     *b65 + 21*b35*b66 + 83*b35*b67 + 23*b35*b68 + 66*b35*b69 - 95*b35*b70 + 38
     *b35*b71 + 67*b35*b72 + 6*b35*b73 + 33*b35*b74 + 69*b35*b75 + 6*b35*b76 - 
     85*b35*b77 + 2*b35*b78 + 13*b35*b79 - 25*b35*b80 - 75*b35*b81 + b35*b82 + 
     48*b35*b83 + 13*b35*b84 + 44*b35*b85 + 49*b35*b86 + 42*b35*b87 - 38*b35*
     b88 + 38*b35*b89 + 6*b35*b90 + 85*b35*b91 + 65*b35*b92 + 58*b35*b93 + 85*
     b35*b94 + 18*b35*b95 + 13*b35*b96 + 57*b35*b97 + 53*b35*b98 + 88*b35*b99
      + 22*b35*b100 + 28*b35*b101 + 16*b36*b37 + 89*b36*b38 - 20*b36*b39 + 23*
     b36*b40 + 36*b36*b41 - 87*b36*b42 + 28*b36*b43 + 17*b36*b44 - 65*b36*b45
      - 73*b36*b46 + 30*b36*b47 + 91*b36*b48 - 37*b36*b49 + 3*b36*b50 - 61*b36*
     b51 + 32*b36*b52 + 3*b36*b53 + 28*b36*b54 + 50*b36*b55 - 98*b36*b56 - 61*
     b36*b57 - 37*b36*b58 + 27*b36*b59 - 52*b36*b60 + 92*b36*b61 + 20*b36*b62
      + 56*b36*b63 - 7*b36*b64 + 40*b36*b65 - 2*b36*b66 + 90*b36*b67 - 75*b36*
     b68 + 57*b36*b69 + 65*b36*b70 + 56*b36*b71 + 43*b36*b72 + 45*b36*b73 + 56*
     b36*b74 + 37*b36*b75 + 66*b36*b76 - 34*b36*b77 - 100*b36*b78 + 47*b36*b79
      - 82*b36*b80 - 66*b36*b81 + 85*b36*b82 + 68*b36*b83 + 99*b36*b84 + 16*b36
     *b85 + 81*b36*b86 + 77*b36*b87 + 40*b36*b88 - 7*b36*b89 + 96*b36*b90 + 54*
     b36*b91 - 22*b36*b92 + 50*b36*b93 - 28*b36*b94 + 31*b36*b95 + 81*b36*b96
      + 44*b36*b97 + 55*b36*b98 + 79*b36*b99 - 86*b36*b100 + 21*b36*b101 + 17*
     b37*b38 + 93*b37*b39 - 22*b37*b40 + 55*b37*b41 + 93*b37*b42 + 82*b37*b43
      + 46*b37*b44 + 39*b37*b45 + 26*b37*b46 + 82*b37*b47 - 20*b37*b48 + 74*b37
     *b49 + 39*b37*b50 + 32*b37*b51 + 50*b37*b52 + 42*b37*b53 + 52*b37*b54 + 26
     *b37*b55 - 33*b37*b56 - 43*b37*b57 + 39*b37*b58 - 43*b37*b59 + 7*b37*b60
      + 9*b37*b61 + 5*b37*b62 + 42*b37*b63 + 19*b37*b64 + 50*b37*b65 + 71*b37*
     b66 + 81*b37*b67 + 36*b37*b68 - 89*b37*b69 + 8*b37*b70 - 61*b37*b71 + 45*
     b37*b72 + 68*b37*b73 + 78*b37*b74 + 19*b37*b75 + 46*b37*b76 + 68*b37*b77
      + 21*b37*b78 + 26*b37*b79 + 75*b37*b80 - 97*b37*b81 + 60*b37*b82 - 68*b37
     *b83 + 55*b37*b84 + 82*b37*b85 - 22*b37*b86 + 5*b37*b87 + 48*b37*b88 - 53*
     b37*b89 + 86*b37*b90 + 13*b37*b91 - 2*b37*b92 + 33*b37*b93 + 40*b37*b94 + 
     61*b37*b95 + 84*b37*b96 + 63*b37*b97 + 90*b37*b98 + 38*b37*b99 + 87*b37*
     b100 + 57*b37*b101 + 65*b38*b39 + 78*b38*b40 + 36*b38*b41 + 89*b38*b42 + 5
     *b38*b43 + 56*b38*b44 - 33*b38*b45 + 28*b38*b46 + 45*b38*b47 - 91*b38*b48
      + 49*b38*b49 - 75*b38*b50 + 83*b38*b51 + 85*b38*b52 + 34*b38*b53 - 81*b38
     *b54 + 53*b38*b55 + 62*b38*b56 + 92*b38*b57 - 13*b38*b58 + 3*b38*b59 + 2*
     b38*b60 - 55*b38*b61 + 12*b38*b62 + 21*b38*b63 + 82*b38*b64 + 54*b38*b65
      - 10*b38*b66 - 19*b38*b67 + 61*b38*b68 - 86*b38*b69 - 50*b38*b70 + 55*b38
     *b71 + 29*b38*b72 + 13*b38*b73 + 42*b38*b74 - 8*b38*b75 + 54*b38*b76 + 76*
     b38*b77 + 16*b38*b78 - 66*b38*b79 + 20*b38*b80 + 53*b38*b81 + 12*b38*b82
      + 74*b38*b83 + 24*b38*b84 + 17*b38*b85 + 100*b38*b86 - 88*b38*b87 + 16*
     b38*b88 + 21*b38*b89 - 18*b38*b90 + 57*b38*b91 - 46*b38*b92 + 88*b38*b93
      + 32*b38*b94 + 59*b38*b95 + 77*b38*b96 - 32*b38*b97 + 34*b38*b98 + 11*b38
     *b99 + 20*b38*b100 + 34*b38*b101 + 49*b39*b40 + 51*b39*b41 + 24*b39*b42 - 
     26*b39*b43 - 56*b39*b44 + 16*b39*b45 + 65*b39*b46 + 14*b39*b47 + 61*b39*
     b48 + 51*b39*b49 + 87*b39*b50 + 76*b39*b51 - 90*b39*b52 + 29*b39*b53 + 65*
     b39*b54 + 32*b39*b55 - 86*b39*b56 + 81*b39*b57 + 5*b39*b58 + 5*b39*b59 + 
     39*b39*b60 + 13*b39*b61 - 28*b39*b62 - 3*b39*b63 + 2*b39*b64 - 24*b39*b65
      - 86*b39*b66 + 7*b39*b67 - 36*b39*b68 + 88*b39*b69 + 100*b39*b70 + 17*b39
     *b71 - 53*b39*b72 + 97*b39*b73 + 55*b39*b74 - 21*b39*b75 - 74*b39*b76 + 
     100*b39*b77 + 62*b39*b78 + 40*b39*b79 + 7*b39*b80 + 50*b39*b81 + 13*b39*
     b82 + 24*b39*b83 + 95*b39*b84 - 100*b39*b85 + 34*b39*b86 - 31*b39*b87 - 64
     *b39*b88 + 94*b39*b89 + 33*b39*b90 + 15*b39*b91 + 98*b39*b92 + 10*b39*b93
      + 68*b39*b94 + 74*b39*b95 + 11*b39*b96 + 71*b39*b97 + 84*b39*b98 + 22*b39
     *b99 + 8*b39*b100 + 76*b39*b101 + 40*b40*b41 + 78*b40*b42 + 38*b40*b43 + 
     25*b40*b44 + 37*b40*b45 - 79*b40*b46 - 5*b40*b47 + 98*b40*b48 + 36*b40*b49
      - 98*b40*b50 + 98*b40*b51 + 72*b40*b52 + 65*b40*b53 + 63*b40*b54 - 70*b40
     *b55 + 65*b40*b56 + 96*b40*b57 - 16*b40*b58 - 66*b40*b59 + 6*b40*b60 - 83*
     b40*b61 - 88*b40*b62 + 71*b40*b63 + 59*b40*b64 + 60*b40*b65 + 55*b40*b66
      - 76*b40*b67 + 94*b40*b68 + 23*b40*b69 - 16*b40*b70 - 97*b40*b71 - 52*b40
     *b72 + 75*b40*b73 + 29*b40*b74 + 12*b40*b75 + 93*b40*b76 - 18*b40*b77 + 33
     *b40*b78 - 69*b40*b79 + 98*b40*b80 + 98*b40*b81 + 37*b40*b82 + 34*b40*b83
      + 65*b40*b84 - 37*b40*b85 + 99*b40*b86 + 12*b40*b87 + 77*b40*b88 + 74*b40
     *b89 + 77*b40*b90 + 92*b40*b91 + 82*b40*b92 + 54*b40*b93 + 49*b40*b94 + 56
     *b40*b95 + 50*b40*b96 + 3*b40*b97 + 30*b40*b98 - 19*b40*b99 + 44*b40*b100
      - 26*b40*b101 - 91*b41*b42 + 48*b41*b43 + 27*b41*b44 + 25*b41*b45 + 57*
     b41*b46 - 28*b41*b47 - 76*b41*b48 + 56*b41*b49 + 3*b41*b50 + 23*b41*b51 - 
     17*b41*b52 + 41*b41*b53 + 12*b41*b54 + 92*b41*b55 + 17*b41*b56 + b41*b57
      - 9*b41*b58 - 26*b41*b59 + 21*b41*b60 + 94*b41*b61 + 17*b41*b62 + 71*b41*
     b63 + 2*b41*b64 + 69*b41*b65 + 90*b41*b66 + 7*b41*b67 - 71*b41*b68 - 55*
     b41*b69 + 9*b41*b70 + 41*b41*b71 + 66*b41*b72 + 31*b41*b73 + 40*b41*b74 + 
     13*b41*b75 + 58*b41*b76 + 93*b41*b77 + 79*b41*b78 - 71*b41*b79 - 41*b41*
     b80 + 35*b41*b81 + 33*b41*b82 + 87*b41*b83 + 39*b41*b84 - 36*b41*b85 + 39*
     b41*b86 + 23*b41*b87 + 68*b41*b88 + 83*b41*b89 + 61*b41*b90 + 71*b41*b91
      + 53*b41*b92 + 97*b41*b93 + 30*b41*b94 + 62*b41*b95 - 57*b41*b96 + 100*
     b41*b97 + 88*b41*b98 - 95*b41*b99 + 79*b41*b100 + 76*b41*b101 - 58*b42*b43
      + 26*b42*b44 + 2*b42*b45 + 84*b42*b46 + 6*b42*b47 + 33*b42*b48 - 73*b42*
     b49 + 92*b42*b50 + 47*b42*b51 + 72*b42*b52 + 48*b42*b53 + 95*b42*b54 - 60*
     b42*b55 + 12*b42*b56 + 70*b42*b57 + 60*b42*b58 - 36*b42*b59 + 4*b42*b60 - 
     44*b42*b61 + 52*b42*b62 + 45*b42*b63 + 59*b42*b64 + 16*b42*b65 + 19*b42*
     b66 + 55*b42*b67 + 16*b42*b68 + 64*b42*b69 + 89*b42*b70 + 50*b42*b71 + 14*
     b42*b72 + 91*b42*b73 - 98*b42*b74 + 9*b42*b75 + 15*b42*b76 + 39*b42*b77 - 
     52*b42*b78 + 53*b42*b79 + 53*b42*b80 + 12*b42*b81 + 81*b42*b82 + 65*b42*
     b83 + 71*b42*b84 + 9*b42*b85 + 3*b42*b86 + 63*b42*b87 + 81*b42*b88 - 40*
     b42*b89 - 34*b42*b90 + 30*b42*b91 + 51*b42*b92 + 18*b42*b93 + 3*b42*b94 + 
     16*b42*b95 - 42*b42*b96 + 78*b42*b97 + 96*b42*b98 + 22*b42*b99 - 21*b42*
     b100 + 77*b42*b101 - 44*b43*b44 + 91*b43*b45 - 47*b43*b46 - 53*b43*b47 - 
     82*b43*b48 - 81*b43*b49 - 2*b43*b50 + 39*b43*b51 + 72*b43*b52 + 11*b43*b53
      - 33*b43*b54 + 88*b43*b55 + 29*b43*b56 + 94*b43*b57 + 43*b43*b58 - 24*b43
     *b59 + 13*b43*b60 + 62*b43*b61 + 49*b43*b62 + 40*b43*b63 + 48*b43*b64 + 14
     *b43*b65 + 21*b43*b66 - 5*b43*b67 + 58*b43*b68 - 6*b43*b69 - 2*b43*b70 - 
     69*b43*b71 + 53*b43*b72 + 82*b43*b73 + 37*b43*b74 + 86*b43*b75 + 72*b43*
     b76 + 60*b43*b77 + 61*b43*b78 + 49*b43*b79 + 22*b43*b80 + 9*b43*b81 + 18*
     b43*b82 + 87*b43*b83 - 79*b43*b84 - 16*b43*b85 + 36*b43*b86 + 13*b43*b87
      - 51*b43*b88 + 39*b43*b89 + 100*b43*b90 + 39*b43*b91 + 71*b43*b92 - 42*
     b43*b93 + 53*b43*b94 + 43*b43*b95 + 8*b43*b96 + 21*b43*b97 + 16*b43*b98 - 
     100*b43*b99 + 98*b43*b100 - 26*b43*b101 + 4*b44*b45 + 76*b44*b46 + 33*b44*
     b47 - 44*b44*b48 + 38*b44*b49 + 6*b44*b50 - 36*b44*b51 - 91*b44*b52 + 92*
     b44*b53 - 15*b44*b54 - 36*b44*b55 + 25*b44*b56 + 93*b44*b57 + 98*b44*b58
      + 43*b44*b59 - 26*b44*b60 + 13*b44*b61 + 3*b44*b62 + 15*b44*b63 + 80*b44*
     b64 + 32*b44*b65 + 12*b44*b66 + 35*b44*b67 + 55*b44*b68 + 39*b44*b69 + 78*
     b44*b70 + 7*b44*b71 + 29*b44*b72 - 29*b44*b73 + 92*b44*b74 + 53*b44*b75 + 
     21*b44*b76 + 70*b44*b77 + 62*b44*b78 + 21*b44*b79 + 92*b44*b80 + 78*b44*
     b81 + 19*b44*b82 + 9*b44*b83 - 42*b44*b84 + 98*b44*b85 + 25*b44*b86 + 72*
     b44*b87 + 7*b44*b88 + 31*b44*b89 - 24*b44*b90 - 19*b44*b91 + 99*b44*b92 + 
     71*b44*b93 - 27*b44*b94 + 53*b44*b95 - 95*b44*b96 + 74*b44*b97 + 45*b44*
     b98 - 90*b44*b99 + 33*b44*b100 + 57*b44*b101 + 94*b45*b46 + 13*b45*b47 + 
     81*b45*b48 + 2*b45*b49 + 77*b45*b50 + 51*b45*b51 + 11*b45*b52 + 87*b45*b53
      + 65*b45*b54 + 55*b45*b55 - 20*b45*b56 + 76*b45*b57 + 66*b45*b58 - 55*b45
     *b59 + 55*b45*b60 - 58*b45*b61 + 91*b45*b62 + 52*b45*b63 + 65*b45*b64 - 26
     *b45*b65 + 24*b45*b66 + 20*b45*b67 + 2*b45*b68 + 22*b45*b69 + 97*b45*b70
      + 28*b45*b71 + 8*b45*b72 + 85*b45*b73 - 71*b45*b74 - 22*b45*b75 - b45*b76
      - 29*b45*b77 - b45*b78 + 14*b45*b79 - 84*b45*b80 + 9*b45*b81 + 20*b45*b82
      + 44*b45*b83 + 87*b45*b84 - 90*b45*b85 + 93*b45*b86 + 3*b45*b87 + 72*b45*
     b88 - 25*b45*b89 - 29*b45*b90 + 23*b45*b91 + 77*b45*b92 + 73*b45*b93 + 82*
     b45*b94 + 45*b45*b95 + 29*b45*b96 - 75*b45*b97 + 82*b45*b98 + 72*b45*b99
      + 82*b45*b100 + 2*b45*b101 + 78*b46*b47 + 27*b46*b48 + 95*b46*b49 + 46*
     b46*b50 + b46*b51 + 53*b46*b52 - 70*b46*b53 + 58*b46*b54 + 14*b46*b55 - 67
     *b46*b56 - 56*b46*b57 - 94*b46*b58 + 10*b46*b59 - 8*b46*b60 + 78*b46*b61
      + 18*b46*b62 + 17*b46*b63 + 7*b46*b64 + 46*b46*b65 - 35*b46*b66 + 24*b46*
     b67 - 28*b46*b68 - 67*b46*b69 + 48*b46*b70 + 39*b46*b71 + 26*b46*b72 + 59*
     b46*b73 + 34*b46*b74 - 89*b46*b75 + 60*b46*b76 - 54*b46*b77 + 73*b46*b78
      + 72*b46*b79 + 33*b46*b80 + 35*b46*b81 + 67*b46*b82 - 9*b46*b83 + 4*b46*
     b84 + 31*b46*b85 + 7*b46*b86 - 17*b46*b87 + 15*b46*b88 - 55*b46*b89 + 44*
     b46*b90 + 93*b46*b91 - 61*b46*b92 + 83*b46*b93 + 19*b46*b94 + 63*b46*b95
      - 74*b46*b96 - 22*b46*b97 + 8*b46*b98 + 38*b46*b99 + 57*b46*b100 + 13*b46
     *b101 + 37*b47*b48 + 47*b47*b49 + 57*b47*b50 - 54*b47*b51 + 48*b47*b52 + 6
     *b47*b53 - 95*b47*b54 + 92*b47*b55 + 93*b47*b56 + 69*b47*b57 + 3*b47*b58
      + 10*b47*b59 + 24*b47*b60 - 72*b47*b61 + 67*b47*b62 + 95*b47*b63 + 66*b47
     *b64 + 57*b47*b65 + 46*b47*b66 - 25*b47*b67 + 8*b47*b68 + 52*b47*b69 + 69*
     b47*b70 + 20*b47*b71 - 96*b47*b72 + 30*b47*b73 - 29*b47*b74 + 12*b47*b75
      + 91*b47*b76 + 85*b47*b77 - 72*b47*b78 - 12*b47*b79 + 72*b47*b80 + 62*b47
     *b81 - 82*b47*b82 - 61*b47*b83 + 67*b47*b84 + 44*b47*b85 + 54*b47*b86 + 47
     *b47*b87 + 2*b47*b88 - 51*b47*b89 + 19*b47*b90 + 86*b47*b91 + 50*b47*b92
      + 18*b47*b93 + b47*b94 + 61*b47*b95 + 100*b47*b96 - 40*b47*b97 - 59*b47*
     b98 + 23*b47*b99 + 11*b47*b100 + 59*b47*b101 + 32*b48*b49 - 64*b48*b50 + 
     32*b48*b51 + 66*b48*b52 + 81*b48*b53 + 59*b48*b54 + 25*b48*b55 + 50*b48*
     b56 + 56*b48*b57 + 48*b48*b58 - 83*b48*b59 - 89*b48*b60 + 86*b48*b61 - 17*
     b48*b62 + 32*b48*b63 + 11*b48*b64 + 31*b48*b65 + 99*b48*b66 + 93*b48*b67
      + 12*b48*b68 + 19*b48*b69 - 2*b48*b70 + 50*b48*b71 + 20*b48*b72 + 64*b48*
     b73 - 65*b48*b74 + 54*b48*b75 - 90*b48*b76 + 67*b48*b77 + 39*b48*b78 + 32*
     b48*b79 + 64*b48*b80 + 76*b48*b81 + 27*b48*b82 - 29*b48*b83 - 40*b48*b84
      - 13*b48*b85 + 47*b48*b86 + 95*b48*b87 + 71*b48*b88 + 85*b48*b89 + 7*b48*
     b90 - 39*b48*b91 + 82*b48*b92 + 53*b48*b93 + 6*b48*b94 + 69*b48*b95 - b48*
     b96 + 34*b48*b97 + 15*b48*b98 + 69*b48*b99 - 66*b48*b100 + 98*b48*b101 - 
     47*b49*b50 + 77*b49*b51 + b49*b52 + 52*b49*b53 + 52*b49*b54 - 6*b49*b55 + 
     99*b49*b56 + 4*b49*b57 + 45*b49*b58 - 25*b49*b59 + 20*b49*b60 + 76*b49*b61
      + 24*b49*b62 - 40*b49*b63 + 77*b49*b64 + 100*b49*b65 + 81*b49*b66 + 91*
     b49*b67 + 42*b49*b68 - 92*b49*b69 - 36*b49*b70 + 77*b49*b71 + 7*b49*b72 + 
     89*b49*b73 + 56*b49*b74 + 100*b49*b75 + 23*b49*b76 + 14*b49*b77 + 71*b49*
     b78 + 35*b49*b79 - 42*b49*b80 + 21*b49*b81 + 14*b49*b82 + 56*b49*b83 - 5*
     b49*b84 + 47*b49*b85 + 96*b49*b86 + 73*b49*b87 + 7*b49*b88 + 58*b49*b89 + 
     26*b49*b90 - 41*b49*b91 + 36*b49*b92 + 45*b49*b93 + 59*b49*b94 - 4*b49*b95
      + 17*b49*b96 + 74*b49*b97 - 86*b49*b98 - 85*b49*b99 - 80*b49*b100 + 29*
     b49*b101 + 10*b50*b51 + 81*b50*b52 - 66*b50*b53 - 81*b50*b54 + 51*b50*b55
      + 90*b50*b56 - 79*b50*b57 + 95*b50*b58 + 17*b50*b59 + 89*b50*b60 + 25*b50
     *b61 + 62*b50*b62 - 47*b50*b63 + 100*b50*b64 - 33*b50*b65 + 4*b50*b66 - 33
     *b50*b67 - 9*b50*b68 + 26*b50*b69 + 40*b50*b70 - 66*b50*b71 + 13*b50*b72
      + 66*b50*b73 - 33*b50*b74 + 8*b50*b75 + 66*b50*b76 - 87*b50*b77 + 94*b50*
     b78 - 77*b50*b79 + 10*b50*b80 + 72*b50*b81 + 2*b50*b82 + b50*b83 + 5*b50*
     b84 + 3*b50*b85 + 54*b50*b86 + 24*b50*b87 + 64*b50*b88 - 77*b50*b89 - 23*
     b50*b90 + 21*b50*b91 + 68*b50*b92 + 20*b50*b93 + 91*b50*b94 + 5*b50*b95 + 
     9*b50*b96 + 17*b50*b97 + 84*b50*b98 - 72*b50*b99 + 95*b50*b100 + 84*b50*
     b101 + 93*b51*b52 + 67*b51*b53 + b51*b54 + 5*b51*b55 + 79*b51*b56 - 15*b51
     *b57 + 84*b51*b58 + 59*b51*b59 + 34*b51*b60 + 78*b51*b61 + 44*b51*b62 + 51
     *b51*b63 + 14*b51*b64 + 67*b51*b65 + 47*b51*b66 - 9*b51*b67 + 62*b51*b68
      + 48*b51*b69 + 69*b51*b70 - 36*b51*b71 + 28*b51*b72 + 98*b51*b73 + 36*b51
     *b74 + 89*b51*b75 + 23*b51*b76 + 62*b51*b77 + 63*b51*b78 + 45*b51*b79 + 86
     *b51*b80 - 36*b51*b81 + 65*b51*b82 + 76*b51*b83 + 70*b51*b84 - 87*b51*b85
      + 78*b51*b86 + 90*b51*b87 + 77*b51*b88 + 68*b51*b89 + 46*b51*b90 + 85*b51
     *b91 + 73*b51*b92 - 86*b51*b93 - 58*b51*b94 - 14*b51*b95 + 45*b51*b96 + 80
     *b51*b97 + 45*b51*b98 + 87*b51*b99 + 81*b51*b100 + 57*b51*b101 + 99*b52*
     b53 + 14*b52*b54 + 36*b52*b55 - 91*b52*b56 + 40*b52*b57 + 53*b52*b58 + 20*
     b52*b59 + 50*b52*b60 + 72*b52*b61 + 77*b52*b62 + 65*b52*b63 + 77*b52*b64
      + 62*b52*b65 + 27*b52*b66 - 39*b52*b67 - 51*b52*b68 + 80*b52*b69 + 16*b52
     *b70 + 97*b52*b71 + 48*b52*b72 - 32*b52*b73 + 100*b52*b74 + 90*b52*b75 + 
     85*b52*b76 + 16*b52*b77 + 29*b52*b78 + 68*b52*b79 - 93*b52*b80 + 71*b52*
     b81 + 74*b52*b82 + 54*b52*b83 - 99*b52*b84 + 87*b52*b85 + 100*b52*b86 - 24
     *b52*b87 + 23*b52*b88 + 50*b52*b89 - 10*b52*b90 + 74*b52*b91 + 5*b52*b92
      + 58*b52*b93 - 73*b52*b94 + 42*b52*b95 + 9*b52*b96 - 36*b52*b97 + 21*b52*
     b98 + 5*b52*b99 + 25*b52*b100 + 85*b52*b101 + 30*b53*b54 + 74*b53*b55 + 14
     *b53*b56 + 77*b53*b57 + 67*b53*b58 + 73*b53*b59 - 44*b53*b60 + 7*b53*b61
      + 11*b53*b62 + 33*b53*b63 + 60*b53*b64 - 53*b53*b65 + 60*b53*b66 - 51*b53
     *b67 + 5*b53*b68 + 60*b53*b69 - 94*b53*b70 + 38*b53*b71 + 12*b53*b72 + 86*
     b53*b73 + 16*b53*b74 + 52*b53*b75 + 93*b53*b76 + 27*b53*b77 + 6*b53*b78 + 
     74*b53*b79 + 78*b53*b80 - 97*b53*b81 + 36*b53*b82 - 72*b53*b83 - 33*b53*
     b84 + 25*b53*b85 + 20*b53*b86 + 36*b53*b87 + 28*b53*b88 + 13*b53*b89 + 32*
     b53*b90 + 54*b53*b91 - 22*b53*b92 - 78*b53*b93 + 90*b53*b94 + 44*b53*b95
      + 30*b53*b96 + 7*b53*b97 + 38*b53*b98 + 8*b53*b99 - 13*b53*b100 - 47*b53*
     b101 - 98*b54*b55 + 66*b54*b56 - 56*b54*b57 + 19*b54*b58 + 42*b54*b59 + 62
     *b54*b60 - 3*b54*b61 + 94*b54*b62 - 94*b54*b63 + 62*b54*b64 + 81*b54*b65
      + 91*b54*b66 - 98*b54*b67 + 40*b54*b68 - 34*b54*b69 + 45*b54*b70 + 21*b54
     *b71 + 55*b54*b72 + 40*b54*b73 + 66*b54*b74 - 97*b54*b75 + 47*b54*b76 + 21
     *b54*b77 + 95*b54*b78 + 82*b54*b79 + 89*b54*b80 - 76*b54*b81 + 32*b54*b82
      + 29*b54*b83 + 38*b54*b84 - 10*b54*b85 - 44*b54*b86 - 43*b54*b87 + 9*b54*
     b88 + 23*b54*b89 + 66*b54*b90 + 4*b54*b91 + 21*b54*b92 + 5*b54*b93 + 90*
     b54*b94 + 23*b54*b95 + 99*b54*b96 + 10*b54*b97 - 26*b54*b98 + 2*b54*b99 + 
     4*b54*b100 + 96*b54*b101 - 44*b55*b56 + 97*b55*b57 + 24*b55*b58 + 77*b55*
     b59 + 89*b55*b60 + 5*b55*b61 + 7*b55*b62 + 28*b55*b63 + 98*b55*b64 - 79*
     b55*b65 + 51*b55*b66 + 79*b55*b67 + 81*b55*b68 - 90*b55*b69 + 94*b55*b70
      + 83*b55*b71 + 26*b55*b72 + 88*b55*b73 + 49*b55*b74 - 42*b55*b75 - 99*b55
     *b76 + 49*b55*b77 + 59*b55*b78 + 57*b55*b79 + 29*b55*b80 - 4*b55*b81 - 26*
     b55*b82 + 58*b55*b83 - 13*b55*b84 + 42*b55*b85 + 35*b55*b86 + 42*b55*b87
      - 54*b55*b88 + 65*b55*b89 + 48*b55*b90 - 94*b55*b91 - 56*b55*b92 + 7*b55*
     b93 + 22*b55*b94 + 21*b55*b95 + 50*b55*b96 + 81*b55*b97 + 6*b55*b98 + 81*
     b55*b99 + 37*b55*b100 + 76*b55*b101 + 98*b56*b57 + 36*b56*b58 - 50*b56*b59
      + 9*b56*b60 + 58*b56*b61 + 47*b56*b62 + 97*b56*b63 + 78*b56*b64 - 16*b56*
     b65 + 20*b56*b66 + 22*b56*b67 - 91*b56*b68 + 39*b56*b69 + 98*b56*b70 + 46*
     b56*b71 + 50*b56*b72 - 94*b56*b73 + 98*b56*b74 + 37*b56*b75 - 93*b56*b76
      - 9*b56*b77 + 58*b56*b78 + 44*b56*b79 + 26*b56*b80 - 32*b56*b81 + 27*b56*
     b82 + 98*b56*b83 - 85*b56*b84 + 40*b56*b85 - 66*b56*b86 + 58*b56*b87 + 80*
     b56*b88 - 52*b56*b89 + 47*b56*b90 + 35*b56*b91 - 85*b56*b92 + 29*b56*b93
      + 3*b56*b94 - 28*b56*b95 + 34*b56*b96 + 78*b56*b97 + 17*b56*b98 + 29*b56*
     b99 + 66*b56*b100 + 86*b56*b101 + 5*b57*b58 + 98*b57*b59 + 46*b57*b60 - 64
     *b57*b61 + 93*b57*b62 - 82*b57*b63 + 45*b57*b64 + 19*b57*b65 + 86*b57*b66
      + 28*b57*b67 + 58*b57*b68 + 35*b57*b69 + 83*b57*b70 + 78*b57*b71 + 35*b57
     *b72 - 30*b57*b73 - 57*b57*b74 + 26*b57*b75 + 81*b57*b76 + 46*b57*b77 - 91
     *b57*b78 + 2*b57*b79 + 42*b57*b80 - 35*b57*b81 + 19*b57*b82 + 50*b57*b83
      + 70*b57*b84 + 53*b57*b85 + 51*b57*b86 - 99*b57*b87 - 92*b57*b88 - 75*b57
     *b89 + 59*b57*b90 - 2*b57*b91 - 45*b57*b92 + 64*b57*b93 + 79*b57*b94 + 22*
     b57*b95 + 37*b57*b96 + 50*b57*b97 + 21*b57*b98 - 82*b57*b99 + 88*b57*b100
      + 41*b57*b101 - 15*b58*b59 + 23*b58*b60 + 71*b58*b61 - 6*b58*b62 + 53*b58
     *b63 - 72*b58*b64 - 10*b58*b65 + 83*b58*b66 + 3*b58*b67 + 11*b58*b68 + 64*
     b58*b69 - 46*b58*b70 - 64*b58*b71 + 74*b58*b72 + 65*b58*b73 - 88*b58*b74
      + 9*b58*b75 - 37*b58*b76 - 63*b58*b77 + 12*b58*b78 - 5*b58*b79 + 63*b58*
     b80 + 69*b58*b81 + 6*b58*b82 + b58*b83 + 62*b58*b84 + 28*b58*b85 - b58*b86
      + 39*b58*b87 + 93*b58*b88 + 44*b58*b89 + 34*b58*b90 + 94*b58*b91 + 83*b58
     *b92 - 16*b58*b93 + 74*b58*b94 + 28*b58*b95 - 86*b58*b96 - 33*b58*b97 - 67
     *b58*b98 - 58*b58*b99 + b58*b100 + 87*b58*b101 - 28*b59*b60 + 31*b59*b61
      + 80*b59*b62 + 53*b59*b63 - 78*b59*b64 + 35*b59*b65 + 58*b59*b66 + 58*b59
     *b67 - 22*b59*b68 + 19*b59*b69 + 81*b59*b70 - b59*b71 + 87*b59*b72 - 79*
     b59*b73 + 96*b59*b74 + 92*b59*b75 + 94*b59*b76 + 47*b59*b77 + 48*b59*b78
      - 89*b59*b79 + b59*b80 + 89*b59*b81 + 78*b59*b82 + 40*b59*b83 + 32*b59*
     b84 + 10*b59*b85 + 12*b59*b86 - 63*b59*b87 + 20*b59*b88 + 38*b59*b89 + 9*
     b59*b90 + 94*b59*b91 + 3*b59*b92 + 78*b59*b93 + 91*b59*b94 + 26*b59*b95 + 
     42*b59*b96 + 52*b59*b97 - 13*b59*b98 - 69*b59*b99 + 53*b59*b100 + 59*b59*
     b101 + 92*b60*b61 + 14*b60*b62 + 13*b60*b63 + 78*b60*b64 + 32*b60*b65 + 27
     *b60*b66 + 62*b60*b67 + 35*b60*b68 + 71*b60*b69 + 46*b60*b70 - 78*b60*b71
      + 34*b60*b72 + 40*b60*b73 - 89*b60*b74 + 84*b60*b75 + 55*b60*b76 + 20*b60
     *b77 - 37*b60*b78 + 71*b60*b79 + 58*b60*b80 - 88*b60*b81 + 87*b60*b82 + 88
     *b60*b83 + 53*b60*b84 + 37*b60*b85 + 25*b60*b86 + 47*b60*b87 + 8*b60*b88
      + 64*b60*b89 - 29*b60*b90 + 95*b60*b91 + 25*b60*b92 + 4*b60*b93 + 99*b60*
     b94 + 27*b60*b95 + 80*b60*b96 + 91*b60*b97 + 15*b60*b98 + 91*b60*b99 + 92*
     b60*b100 + 70*b60*b101 + 92*b61*b62 + 78*b61*b63 + 54*b61*b64 + 99*b61*b65
      + 39*b61*b66 + 69*b61*b67 + 11*b61*b68 + 76*b61*b69 + 50*b61*b70 + 68*b61
     *b71 + 67*b61*b72 + 98*b61*b73 - 41*b61*b74 + b61*b75 + 66*b61*b76 + 100*
     b61*b77 - 37*b61*b78 + 60*b61*b79 + 70*b61*b80 + 28*b61*b81 - 55*b61*b82
      + 75*b61*b83 + 20*b61*b84 + 26*b61*b85 - 3*b61*b86 + b61*b87 - 3*b61*b88
      + 55*b61*b89 + 38*b61*b90 + 27*b61*b91 - 80*b61*b92 + 12*b61*b93 + 55*b61
     *b94 + 10*b61*b95 + 85*b61*b96 - 85*b61*b97 + 84*b61*b98 + 56*b61*b99 + 61
     *b61*b100 + 75*b61*b101 + 77*b62*b63 + 88*b62*b64 - 25*b62*b65 + 74*b62*
     b66 + 52*b62*b67 + 16*b62*b68 + 30*b62*b69 - 99*b62*b70 + 3*b62*b71 - 60*
     b62*b72 - 48*b62*b73 + 78*b62*b74 - 7*b62*b75 + 86*b62*b76 + 69*b62*b77 + 
     33*b62*b78 + 39*b62*b79 + 76*b62*b80 + 66*b62*b81 + 76*b62*b82 - 53*b62*
     b83 - 100*b62*b84 + 70*b62*b85 + 18*b62*b86 + 9*b62*b87 + 11*b62*b88 + 25*
     b62*b89 - 87*b62*b90 + 24*b62*b91 + b62*b92 - 87*b62*b93 + 88*b62*b94 + 57
     *b62*b95 + 39*b62*b96 + 69*b62*b97 + 44*b62*b98 - 57*b62*b99 - 55*b62*b100
      + 45*b62*b101 + 2*b63*b64 + 52*b63*b65 + 61*b63*b66 - 3*b63*b67 - 10*b63*
     b68 + 22*b63*b69 + 21*b63*b70 + 95*b63*b71 + 85*b63*b72 + 75*b63*b73 + 77*
     b63*b74 + 89*b63*b75 - 16*b63*b76 + 67*b63*b77 + 26*b63*b78 + 45*b63*b79
      - 15*b63*b80 + 90*b63*b81 + 76*b63*b82 - 25*b63*b83 - 21*b63*b84 - 47*b63
     *b85 - 58*b63*b86 + 53*b63*b87 - 95*b63*b88 + 16*b63*b89 + 74*b63*b90 - 95
     *b63*b91 + 52*b63*b92 - 62*b63*b93 + 75*b63*b94 + 56*b63*b95 - 53*b63*b96
      + 20*b63*b97 + 41*b63*b98 + 65*b63*b99 + 42*b63*b100 - 6*b63*b101 + 3*b64
     *b65 - 92*b64*b66 + 89*b64*b67 + 72*b64*b68 + 63*b64*b69 + 2*b64*b70 + 31*
     b64*b71 + 96*b64*b72 + 68*b64*b73 + 51*b64*b74 + 100*b64*b75 - 100*b64*b76
      + 66*b64*b77 + 6*b64*b78 + 74*b64*b79 + 58*b64*b80 + 73*b64*b81 + 24*b64*
     b82 - 57*b64*b83 + 74*b64*b84 + 14*b64*b85 - 37*b64*b86 + 37*b64*b87 + 5*
     b64*b88 + 35*b64*b89 + 27*b64*b90 - 77*b64*b91 + 26*b64*b92 - 93*b64*b93
      + 49*b64*b94 + 98*b64*b95 + 45*b64*b96 + 8*b64*b97 + 34*b64*b98 + 68*b64*
     b99 - 34*b64*b100 + 33*b64*b101 + 28*b65*b66 + 6*b65*b67 + 76*b65*b68 + 39
     *b65*b69 + 26*b65*b70 + 32*b65*b71 + 9*b65*b72 + 86*b65*b73 - 42*b65*b74
      - 15*b65*b75 + 4*b65*b76 + 6*b65*b77 + 37*b65*b78 + 95*b65*b79 + 57*b65*
     b80 - 45*b65*b81 + 47*b65*b82 + 69*b65*b83 + 42*b65*b84 + 75*b65*b85 + 74*
     b65*b86 - 69*b65*b87 + 30*b65*b88 + 90*b65*b89 + 88*b65*b90 + 60*b65*b91
      + 30*b65*b92 + 31*b65*b93 + 42*b65*b94 - 41*b65*b95 - 3*b65*b96 + 83*b65*
     b97 + 86*b65*b98 - 22*b65*b99 - 9*b65*b100 - 45*b65*b101 + 54*b66*b67 - 15
     *b66*b68 + 71*b66*b69 + 57*b66*b70 + 61*b66*b71 - 5*b66*b72 + 34*b66*b73
      + 8*b66*b74 + 60*b66*b75 + 73*b66*b76 + 32*b66*b77 + 63*b66*b78 + 9*b66*
     b79 + 48*b66*b80 + 33*b66*b81 + 51*b66*b82 + 62*b66*b83 - 73*b66*b84 + 70*
     b66*b85 - 46*b66*b86 + 45*b66*b87 - 71*b66*b88 - 86*b66*b89 - 5*b66*b90 - 
     78*b66*b91 + 11*b66*b92 + 36*b66*b93 + 31*b66*b94 + 62*b66*b95 + 13*b66*
     b96 + 26*b66*b97 + 83*b66*b98 + 81*b66*b99 + 23*b66*b100 + 36*b66*b101 - 
     83*b67*b68 + 70*b67*b69 + 10*b67*b70 + 83*b67*b71 + 4*b67*b72 + 42*b67*b73
      - 74*b67*b74 + 91*b67*b75 + 21*b67*b76 + 85*b67*b77 + b67*b78 - 48*b67*
     b79 + b67*b80 + 90*b67*b81 - 29*b67*b82 + 43*b67*b83 + 57*b67*b84 + 16*b67
     *b85 + 19*b67*b86 + 31*b67*b87 + 62*b67*b88 + 87*b67*b89 - 49*b67*b90 + 90
     *b67*b91 + 81*b67*b92 - 53*b67*b93 + 37*b67*b94 + 17*b67*b95 + 28*b67*b96
      + 12*b67*b97 + 87*b67*b98 + 19*b67*b99 + 69*b67*b100 - 12*b67*b101 + 84*
     b68*b69 - 8*b68*b70 + 65*b68*b71 + 32*b68*b72 + 24*b68*b73 + 33*b68*b74 + 
     47*b68*b75 + 89*b68*b76 + 38*b68*b77 + 24*b68*b78 + 67*b68*b79 + 25*b68*
     b80 + 92*b68*b81 + 95*b68*b82 + 77*b68*b83 + 47*b68*b84 + 99*b68*b85 + 9*
     b68*b86 - 52*b68*b87 + 28*b68*b88 + 12*b68*b89 + 35*b68*b90 + 49*b68*b91
      + 45*b68*b92 + 32*b68*b93 - 55*b68*b94 + 54*b68*b95 + 50*b68*b96 - 74*b68
     *b97 + 5*b68*b98 + 53*b68*b99 + 66*b68*b100 + 8*b68*b101 + 65*b69*b70 - 17
     *b69*b71 - 38*b69*b72 + 56*b69*b73 + 91*b69*b74 + 99*b69*b75 + 94*b69*b76
      - 55*b69*b77 + 27*b69*b78 + 30*b69*b79 + 5*b69*b80 + 23*b69*b81 + 58*b69*
     b82 + 63*b69*b83 + 77*b69*b84 + b69*b85 + 33*b69*b86 + 85*b69*b87 + 97*b69
     *b88 - 46*b69*b89 + 95*b69*b90 + 74*b69*b91 - 73*b69*b92 + 39*b69*b93 + 39
     *b69*b94 + 78*b69*b95 - 76*b69*b96 - 55*b69*b97 + 74*b69*b98 + 59*b69*b99
      + 39*b69*b100 + 43*b69*b101 - 76*b70*b71 + 45*b70*b72 - 70*b70*b73 + 11*
     b70*b74 + 86*b70*b75 + 56*b70*b76 - 15*b70*b77 + 61*b70*b78 + 14*b70*b79
      - 100*b70*b80 + 38*b70*b81 + 73*b70*b82 - 71*b70*b83 + 65*b70*b84 + 42*
     b70*b85 + 83*b70*b86 + 37*b70*b87 + 93*b70*b88 + 70*b70*b89 + 22*b70*b90
      - 90*b70*b91 + 17*b70*b92 - 70*b70*b93 + 60*b70*b94 + 68*b70*b95 + 24*b70
     *b96 + 13*b70*b97 + 20*b70*b98 + 32*b70*b99 + 47*b70*b100 + 95*b70*b101 + 
     94*b71*b72 - 8*b71*b73 - 37*b71*b74 + 40*b71*b75 + 84*b71*b76 - 86*b71*b77
      + 36*b71*b78 - 29*b71*b79 - 43*b71*b80 + 54*b71*b81 + 5*b71*b82 + 66*b71*
     b83 + 4*b71*b84 + 12*b71*b85 + 74*b71*b86 + 78*b71*b87 - 38*b71*b88 + 4*
     b71*b89 + 14*b71*b90 - 36*b71*b91 + 23*b71*b92 + 49*b71*b93 + 32*b71*b94
      + 52*b71*b95 + 25*b71*b96 - 44*b71*b97 + 26*b71*b98 + 56*b71*b99 + 10*b71
     *b100 + 78*b71*b101 + 74*b72*b73 + b72*b74 + 93*b72*b75 + 88*b72*b76 + 98*
     b72*b77 + 55*b72*b78 + 48*b72*b79 - 29*b72*b80 + 83*b72*b81 + 5*b72*b82 - 
     41*b72*b83 + 39*b72*b84 + 60*b72*b85 + 95*b72*b86 + 14*b72*b87 + 55*b72*
     b88 + 79*b72*b89 + 53*b72*b90 + 62*b72*b91 + 29*b72*b92 + 67*b72*b93 + 30*
     b72*b94 + 41*b72*b95 + 44*b72*b96 - 42*b72*b97 - 34*b72*b98 + 51*b72*b99
      + 47*b72*b100 + 70*b72*b101 - 83*b73*b74 - 65*b73*b75 + 73*b73*b76 + 96*
     b73*b77 + 66*b73*b78 + 17*b73*b79 - 68*b73*b80 + 32*b73*b81 + 48*b73*b82
      + 59*b73*b83 + 46*b73*b84 - 95*b73*b85 + 33*b73*b86 + 3*b73*b87 + 7*b73*
     b88 + 24*b73*b89 - 7*b73*b90 + 31*b73*b91 - 31*b73*b92 - 56*b73*b93 + 87*
     b73*b94 + 93*b73*b95 + 6*b73*b96 + 8*b73*b97 + 95*b73*b98 - 47*b73*b99 + 
     70*b73*b100 + 71*b73*b101 + 38*b74*b75 + 85*b74*b76 + 96*b74*b77 + 85*b74*
     b78 + 96*b74*b79 - 85*b74*b80 - 45*b74*b81 - 25*b74*b82 + 15*b74*b83 + 41*
     b74*b84 + 40*b74*b85 - 76*b74*b86 + 66*b74*b87 + 78*b74*b88 - 15*b74*b89
      + 88*b74*b90 + 24*b74*b91 + 47*b74*b92 + 33*b74*b93 + 25*b74*b94 + 50*b74
     *b95 - 6*b74*b96 - 52*b74*b97 + 77*b74*b98 + 99*b74*b99 - 89*b74*b100 + 17
     *b74*b101 - 76*b75*b76 + 37*b75*b77 + 68*b75*b78 + 4*b75*b79 + 54*b75*b80
      + 79*b75*b81 + 97*b75*b82 + 36*b75*b83 - 39*b75*b84 - 85*b75*b85 + 79*b75
     *b86 + 29*b75*b87 + 5*b75*b88 - 75*b75*b89 + 17*b75*b90 + 8*b75*b91 + 76*
     b75*b92 + 100*b75*b93 + 47*b75*b94 + 98*b75*b95 + 81*b75*b96 + 53*b75*b97
      - 39*b75*b98 + 2*b75*b99 - 24*b75*b100 + 24*b75*b101 + 74*b76*b77 + 60*
     b76*b78 - 31*b76*b79 - 23*b76*b80 + 29*b76*b81 + 94*b76*b82 - 26*b76*b83
      + 99*b76*b84 - 47*b76*b85 + 25*b76*b86 + 24*b76*b87 + 55*b76*b88 + 68*b76
     *b89 - 42*b76*b90 + 46*b76*b91 + 93*b76*b92 + 20*b76*b93 + 100*b76*b94 + 
     90*b76*b95 + 100*b76*b96 + 4*b76*b97 + 27*b76*b98 + 37*b76*b99 - 53*b76*
     b100 - 73*b76*b101 + 61*b77*b78 + 5*b77*b79 + 61*b77*b80 + 75*b77*b81 + 63
     *b77*b82 + 70*b77*b83 - 90*b77*b84 + 10*b77*b85 + 91*b77*b86 + 63*b77*b87
      + 74*b77*b88 - 87*b77*b89 + 99*b77*b90 + 76*b77*b91 + 58*b77*b92 + 28*b77
     *b93 + 47*b77*b94 + 85*b77*b95 + 4*b77*b96 + 60*b77*b97 + 31*b77*b98 + 24*
     b77*b99 - 70*b77*b100 + 14*b77*b101 + 88*b78*b79 + b78*b80 + 98*b78*b81 - 
     12*b78*b82 - 14*b78*b83 + 46*b78*b84 + 87*b78*b85 + 40*b78*b86 - 57*b78*
     b87 + 92*b78*b88 + 88*b78*b89 + 29*b78*b90 + 32*b78*b91 + 42*b78*b92 + 88*
     b78*b93 + 12*b78*b94 + 87*b78*b95 - 88*b78*b96 - 3*b78*b97 + 79*b78*b98 + 
     39*b78*b99 - 38*b78*b100 - 49*b78*b101 + 10*b79*b80 + 54*b79*b81 + 16*b79*
     b82 - 57*b79*b83 - 10*b79*b84 + 99*b79*b85 - 41*b79*b86 + 62*b79*b87 + 61*
     b79*b88 + 68*b79*b89 + 31*b79*b90 + 100*b79*b91 + 38*b79*b92 + 85*b79*b93
      + 14*b79*b94 + 53*b79*b95 + 89*b79*b96 + 81*b79*b97 + 50*b79*b98 + 51*b79
     *b99 + 76*b79*b100 + 66*b79*b101 + 86*b80*b81 - 72*b80*b82 + 75*b80*b83 + 
     99*b80*b84 + 61*b80*b85 - 66*b80*b86 + 39*b80*b87 + 74*b80*b88 - 34*b80*
     b89 + 79*b80*b90 + 87*b80*b91 + 29*b80*b92 + 47*b80*b93 + 98*b80*b94 + 31*
     b80*b95 + 90*b80*b96 + 91*b80*b97 + 15*b80*b98 + 52*b80*b99 + 22*b80*b100
      - 14*b80*b101 + 62*b81*b82 - 89*b81*b83 + 55*b81*b84 - 16*b81*b85 + 96*
     b81*b86 - 96*b81*b87 + 89*b81*b88 - 7*b81*b89 + 17*b81*b90 + 50*b81*b91 + 
     54*b81*b92 + 71*b81*b93 + 56*b81*b94 + 36*b81*b95 + 37*b81*b96 + 69*b81*
     b97 + 52*b81*b98 + 89*b81*b99 + 31*b81*b100 - 43*b81*b101 + 10*b82*b83 - 
     55*b82*b84 + 33*b82*b85 + 85*b82*b86 - 98*b82*b87 + 58*b82*b88 - 77*b82*
     b89 - 74*b82*b90 + 53*b82*b91 + 13*b82*b92 - 57*b82*b93 + 92*b82*b94 + 90*
     b82*b95 + 18*b82*b96 + 88*b82*b97 - 98*b82*b98 + 50*b82*b99 + 96*b82*b100
      + 65*b82*b101 + 34*b83*b84 + 69*b83*b85 - 17*b83*b86 - 75*b83*b87 - 80*
     b83*b88 + 51*b83*b89 + 21*b83*b90 + 25*b83*b91 + 19*b83*b92 + 95*b83*b93
      + 86*b83*b94 + 47*b83*b95 - 32*b83*b96 - 39*b83*b97 + 82*b83*b98 + 62*b83
     *b99 - 68*b83*b100 + 63*b83*b101 + 78*b84*b85 + 78*b84*b86 + 16*b84*b87 + 
     b84*b88 - 38*b84*b89 + 99*b84*b90 + 43*b84*b91 - 43*b84*b92 - 80*b84*b93
      + 67*b84*b94 + 38*b84*b95 + 41*b84*b96 + 11*b84*b97 + 86*b84*b98 + 35*b84
     *b99 + 18*b84*b100 - 37*b84*b101 + 20*b85*b86 + 74*b85*b87 + 40*b85*b88 + 
     50*b85*b89 + 19*b85*b90 + 35*b85*b91 + 76*b85*b92 + 50*b85*b93 + 76*b85*
     b94 + 98*b85*b95 + 58*b85*b96 - 21*b85*b97 + 89*b85*b98 + 95*b85*b99 + 18*
     b85*b100 + 52*b85*b101 - 34*b86*b87 + 10*b86*b88 + 40*b86*b89 + 63*b86*b90
      - 6*b86*b91 - 70*b86*b92 + 63*b86*b93 - 74*b86*b94 + 10*b86*b95 + 10*b86*
     b96 + 82*b86*b97 + 14*b86*b98 + 37*b86*b99 + 28*b86*b100 + 90*b86*b101 + 
     43*b87*b88 + 8*b87*b89 + 48*b87*b90 + 66*b87*b91 + 56*b87*b92 + 58*b87*b93
      + 4*b87*b94 - 49*b87*b95 + 62*b87*b96 + 52*b87*b97 + 77*b87*b98 - 52*b87*
     b99 + 56*b87*b100 - 49*b87*b101 - 98*b88*b89 - 66*b88*b90 + 64*b88*b91 + 
     96*b88*b92 + 72*b88*b93 - 72*b88*b94 + 36*b88*b95 + 57*b88*b96 + b88*b97
      + 69*b88*b98 + 62*b88*b99 + 36*b88*b100 + 5*b88*b101 + 79*b89*b90 - 31*
     b89*b91 + 95*b89*b92 + 68*b89*b93 + 20*b89*b94 + 85*b89*b95 + 94*b89*b96
      + 79*b89*b97 + 88*b89*b98 + 95*b89*b99 + 6*b89*b100 + 100*b89*b101 + 13*
     b90*b91 + 45*b90*b92 + 51*b90*b93 - 39*b90*b94 + 61*b90*b95 + 60*b90*b96
      + 49*b90*b97 + 15*b90*b98 - 10*b90*b99 + 34*b90*b100 + 7*b90*b101 - 69*
     b91*b92 + 79*b91*b93 - 89*b91*b94 - 61*b91*b95 + 9*b91*b96 + b91*b97 + 73*
     b91*b98 + 6*b91*b99 + 35*b91*b100 - 32*b91*b101 - 21*b92*b93 - 73*b92*b94
      - 48*b92*b95 + 86*b92*b96 + 85*b92*b97 + 98*b92*b98 + 38*b92*b99 - 19*b92
     *b100 - 63*b92*b101 + 18*b93*b94 + 4*b93*b95 + 27*b93*b96 - 72*b93*b97 + 
     91*b93*b98 + 51*b93*b99 + 52*b93*b100 + 54*b93*b101 + 58*b94*b95 - 5*b94*
     b96 + 39*b94*b97 - 38*b94*b98 + 46*b94*b99 + 15*b94*b100 + 5*b94*b101 + 96
     *b95*b96 + 51*b95*b97 + 43*b95*b98 + 79*b95*b99 + 13*b95*b100 + 71*b95*
     b101 + 94*b96*b97 + 86*b96*b98 - 97*b96*b99 + b96*b100 + 89*b96*b101 - 47*
     b97*b98 - 26*b97*b99 - 5*b97*b100 + 56*b97*b101 + 20*b98*b99 + 34*b98*b100
      + 54*b98*b101 - 2*b99*b100 + 41*b99*b101 + 4*b100*b101 - objvar =E= 0;

e2..    b85 + b88 =L= 1;

e3..    b17 + b79 =L= 1;

e4..    b37 + b95 =L= 1;

e5..    b88 + b94 =L= 1;

e6..    b23 + b51 =L= 1;

e7..    b29 + b64 =L= 1;

e8..    b61 + b92 =L= 1;

e9..    b28 + b65 =L= 1;

e10..    b28 + b42 =L= 1;

e11..    b38 + b74 =L= 1;

e12..    b13 + b70 =L= 1;

e13..    b31 + b69 =L= 1;

e14..    b32 + b84 =L= 1;

e15..    b25 + b64 =L= 1;

e16..    b37 + b69 =L= 1;

e17..    b4 + b31 =L= 1;

e18..    b24 + b60 =L= 1;

e19..    b69 + b71 =L= 1;

e20..    b58 + b95 =L= 1;

e21..    b13 + b44 =L= 1;

e22..    b31 + b75 =L= 1;

e23..    b21 + b23 =L= 1;

e24..    b39 + b86 =L= 1;

e25..    b26 + b100 =L= 1;

e26..    b17 + b72 =L= 1;

e27..    b15 + b28 =L= 1;

e28..    b82 + b93 =L= 1;

e29..    b58 + b75 =L= 1;

e30..    b64 + b72 =L= 1;

e31..    b83 + b98 =L= 1;

e32..    b7 + b27 =L= 1;

e33..    b29 + b86 =L= 1;

e34..    b7 + b38 =L= 1;

e35..    b31 + b48 =L= 1;

e36..    b15 + b59 =L= 1;

e37..    b26 + b97 =L= 1;

e38..    b47 + b84 =L= 1;

e39..    b16 + b69 =L= 1;

e40..    b36 + b66 =L= 1;

e41..    b45 + b52 =L= 1;

e42..    b10 + b89 =L= 1;

e43..    b78 + b80 =L= 1;

e44..    b86 + b90 =L= 1;

e45..    b5 + b53 =L= 1;

e46..    b56 + b101 =L= 1;

e47..    b34 + b62 =L= 1;

e48..    b70 + b78 =L= 1;

e49..    b14 + b41 =L= 1;

e50..    b28 + b88 =L= 1;

e51..    b41 + b96 =L= 1;

e52..    b72 + b97 =L= 1;

e53..    b36 + b80 =L= 1;

e54..    b3 + b69 =L= 1;

e55..    b4 + b99 =L= 1;

e56..    b19 + b94 =L= 1;

e57..    b54 + b58 =L= 1;

e58..    b3 + b82 =L= 1;

e59..    b43 + b88 =L= 1;

e60..    b67 + b91 =L= 1;

e61..    b21 + b46 =L= 1;

e62..    b31 + b42 =L= 1;

e63..    b19 + b33 =L= 1;

e64..    b73 + b99 =L= 1;

e65..    b77 + b83 =L= 1;

e66..    b11 + b29 =L= 1;

e67..    b58 + b69 =L= 1;

e68..    b55 + b99 =L= 1;

e69..    b67 + b88 =L= 1;

e70..    b8 + b85 =L= 1;

e71..    b21 + b26 =L= 1;

e72..    b30 + b73 =L= 1;

e73..    b31 + b34 =L= 1;

e74..    b5 + b21 =L= 1;

e75..    b70 + b72 =L= 1;

e76..    b10 + b17 =L= 1;

e77..    b42 + b51 =L= 1;

e78..    b25 + b98 =L= 1;

e79..    b20 + b47 =L= 1;

e80..    b48 + b53 =L= 1;

e81..    b23 + b57 =L= 1;

e82..    b81 + b90 =L= 1;

e83..    b30 + b66 =L= 1;

e84..    b43 + b52 =L= 1;

e85..    b2 + b95 =L= 1;

e86..    b16 + b26 =L= 1;

e87..    b58 + b89 =L= 1;

e88..    b45 + b93 =L= 1;

e89..    b29 + b67 =L= 1;

e90..    b38 + b61 =L= 1;

e91..    b34 + b53 =L= 1;

e92..    b30 + b39 =L= 1;

e93..    b9 + b77 =L= 1;

e94..    b23 + b76 =L= 1;

e95..    b60 + b97 =L= 1;

e96..    b31 + b39 =L= 1;

e97..    b20 + b30 =L= 1;

e98..    b13 + b45 =L= 1;

e99..    b30 + b31 =L= 1;

e100..    b6 + b78 =L= 1;

e101..    b45 + b65 =L= 1;

e102..    b15 + b40 =L= 1;

e103..    b8 + b42 =L= 1;

e104..    b6 + b20 =L= 1;

e105..    b30 + b90 =L= 1;

e106..    b19 + b71 =L= 1;

e107..    b19 + b98 =L= 1;

e108..    b26 + b45 =L= 1;

e109..    b72 + b85 =L= 1;

e110..    b92 + b101 =L= 1;

e111..    b27 + b74 =L= 1;

e112..    b46 + b92 =L= 1;

e113..    b7 + b41 =L= 1;

e114..    b56 + b88 =L= 1;

e115..    b71 + b84 =L= 1;

e116..    b44 + b66 =L= 1;

e117..    b9 + b99 =L= 1;

e118..    b6 + b57 =L= 1;

e119..    b13 + b50 =L= 1;

e120..    b24 + b30 =L= 1;

e121..    b45 + b101 =L= 1;

e122..    b48 + b70 =L= 1;

e123..    b24 + b42 =L= 1;

e124..    b12 + b13 =L= 1;

e125..    b3 + b7 =L= 1;

e126..    b32 + b63 =L= 1;

e127..    b7 + b80 =L= 1;

e128..    b22 + b38 =L= 1;

e129..    b28 + b46 =L= 1;

e130..    b24 + b67 =L= 1;

e131..    b10 + b18 =L= 1;

e132..    b60 + b84 =L= 1;

e133..    b26 + b39 =L= 1;

e134..    b26 + b64 =L= 1;

e135..    b2 + b38 =L= 1;

e136..    b54 + b101 =L= 1;

e137..    b52 + b81 =L= 1;

e138..    b70 + b73 =L= 1;

e139..    b33 + b75 =L= 1;

e140..    b32 + b83 =L= 1;

e141..    b35 + b96 =L= 1;

e142..    b62 + b65 =L= 1;

e143..    b83 + b101 =L= 1;

e144..    b98 + b101 =L= 1;

e145..    b61 + b75 =L= 1;

e146..    b15 + b70 =L= 1;

e147..    b92 + b97 =L= 1;

e148..    b28 + b68 =L= 1;

e149..    b42 + b86 =L= 1;

e150..    b86 + b92 =L= 1;

e151..    b44 + b78 =L= 1;

e152..    b9 + b38 =L= 1;

e153..    b47 + b58 =L= 1;

e154..    b20 + b81 =L= 1;

e155..    b14 + b89 =L= 1;

e156..    b50 + b74 =L= 1;

e157..    b11 + b61 =L= 1;

e158..    b12 + b38 =L= 1;

e159..    b44 + b89 =L= 1;

e160..    b3 + b8 =L= 1;

e161..    b15 + b74 =L= 1;

e162..    b21 + b101 =L= 1;

e163..    b6 + b23 =L= 1;

e164..    b13 + b41 =L= 1;

e165..    b42 + b69 =L= 1;

e166..    b7 + b30 =L= 1;

e167..    b29 + b52 =L= 1;

e168..    b60 + b86 =L= 1;

e169..    b22 + b26 =L= 1;

e170..    b24 + b71 =L= 1;

e171..    b32 + b86 =L= 1;

e172..    b74 + b94 =L= 1;

e173..    b52 + b74 =L= 1;

e174..    b27 + b87 =L= 1;

e175..    b24 + b101 =L= 1;

e176..    b42 + b44 =L= 1;

e177..    b15 + b100 =L= 1;

e178..    b92 + b100 =L= 1;

e179..    b26 + b92 =L= 1;

e180..    b11 + b83 =L= 1;

e181..    b21 + b38 =L= 1;

e182..    b34 + b57 =L= 1;

e183..    b6 + b96 =L= 1;

e184..    b71 + b81 =L= 1;

e185..    b75 + b78 =L= 1;

e186..    b52 + b57 =L= 1;

e187..    b44 + b62 =L= 1;

e188..    b81 + b86 =L= 1;

e189..    b7 + b95 =L= 1;

e190..    b23 + b69 =L= 1;

e191..    b6 + b15 =L= 1;

e192..    b56 + b63 =L= 1;

e193..    b28 + b61 =L= 1;

e194..    b4 + b46 =L= 1;

e195..    b4 + b8 =L= 1;

e196..    b23 + b86 =L= 1;

e197..    b44 + b70 =L= 1;

e198..    b30 + b91 =L= 1;

e199..    b10 + b74 =L= 1;

e200..    b60 + b100 =L= 1;

e201..    b10 + b38 =L= 1;

e202..    b50 + b55 =L= 1;

e203..    b5 + b35 =L= 1;

e204..    b35 + b50 =L= 1;

e205..    b56 + b92 =L= 1;

e206..    b48 + b69 =L= 1;

e207..    b31 + b70 =L= 1;

e208..    b2 + b48 =L= 1;

e209..    b90 + b99 =L= 1;

e210..    b51 + b92 =L= 1;

e211..    b65 + b99 =L= 1;

e212..    b55 + b94 =L= 1;

e213..    b27 + b88 =L= 1;

e214..    b54 + b98 =L= 1;

e215..    b77 + b90 =L= 1;

e216..    b31 + b59 =L= 1;

e217..    b38 + b62 =L= 1;

e218..    b16 + b23 =L= 1;

e219..    b6 + b62 =L= 1;

e220..    b29 + b30 =L= 1;

e221..    b50 + b52 =L= 1;

e222..    b4 + b58 =L= 1;

e223..    b96 + b99 =L= 1;

e224..    b4 + b41 =L= 1;

e225..    b5 + b30 =L= 1;

e226..    b2 + b83 =L= 1;

e227..    b40 + b49 =L= 1;

e228..    b53 + b61 =L= 1;

e229..    b36 + b37 =L= 1;

e230..    b41 + b94 =L= 1;

e231..    b17 + b29 =L= 1;

e232..    b6 + b31 =L= 1;

e233..    b51 + b66 =L= 1;

e234..    b31 + b87 =L= 1;

e235..    b37 + b45 =L= 1;

e236..    b2 + b79 =L= 1;

e237..    b40 + b73 =L= 1;

e238..    b51 + b91 =L= 1;

e239..    b69 + b90 =L= 1;

e240..    b94 + b97 =L= 1;

e241..    b45 + b46 =L= 1;

e242..    b31 + b92 =L= 1;

e243..    b42 + b84 =L= 1;

e244..    b43 + b71 =L= 1;

e245..    b28 + b34 =L= 1;

e246..    b44 + b63 =L= 1;

e247..    b19 + b62 =L= 1;

e248..    b25 + b63 =L= 1;

e249..    b27 + b92 =L= 1;

e250..    b69 + b98 =L= 1;

e251..    b36 + b79 =L= 1;

e252..    b28 + b92 =L= 1;

e253..    b26 + b59 =L= 1;

e254..    b16 + b70 =L= 1;

e255..    b7 + b60 =L= 1;

e256..    b14 + b88 =L= 1;

e257..    b28 + b96 =L= 1;

e258..    b18 + b54 =L= 1;

e259..    b31 + b80 =L= 1;

e260..    b48 + b92 =L= 1;

e261..    b49 + b72 =L= 1;

e262..    b53 + b82 =L= 1;

e263..    b33 + b95 =L= 1;

e264..    b29 + b59 =L= 1;

e265..    b16 + b57 =L= 1;

e266..    b14 + b92 =L= 1;

e267..    b14 + b81 =L= 1;

e268..    b12 + b71 =L= 1;

e269..    b76 + b91 =L= 1;

e270..    b43 + b57 =L= 1;

e271..    b22 + b35 =L= 1;

e272..    b89 + b90 =L= 1;

e273..    b40 + b68 =L= 1;

e274..    b72 + b86 =L= 1;

e275..    b19 + b58 =L= 1;

e276..    b8 + b62 =L= 1;

e277..    b39 + b51 =L= 1;

e278..    b7 + b61 =L= 1;

e279..    b19 + b20 =L= 1;

e280..    b47 + b85 =L= 1;

e281..    b60 + b75 =L= 1;

e282..    b39 + b75 =L= 1;

e283..    b85 + b91 =L= 1;

e284..    b9 + b80 =L= 1;

e285..    b16 + b59 =L= 1;

e286..    b31 + b73 =L= 1;

e287..    b2 + b61 =L= 1;

e288..    b20 + b40 =L= 1;

e289..    b27 + b90 =L= 1;

e290..    b35 + b76 =L= 1;

e291..    b59 + b83 =L= 1;

e292..    b60 + b95 =L= 1;

e293..    b72 + b101 =L= 1;

e294..    b19 + b41 =L= 1;

e295..    b65 + b71 =L= 1;

e296..    b24 + b96 =L= 1;

e297..    b49 + b75 =L= 1;

e298..    b33 + b64 =L= 1;

e299..    b84 + b92 =L= 1;

e300..    b93 + b94 =L= 1;

e301..    b17 + b59 =L= 1;

e302..    b23 + b59 =L= 1;

e303..    b76 + b93 =L= 1;

e304..    b49 + b53 =L= 1;

e305..    b23 + b33 =L= 1;

e306..    b39 + b42 =L= 1;

e307..    b32 + b56 =L= 1;

e308..    b27 + b100 =L= 1;

e309..    b18 + b83 =L= 1;

e310..    b4 + b18 =L= 1;

e311..    b33 + b41 =L= 1;

e312..    b6 + b98 =L= 1;

e313..    b40 + b82 =L= 1;

e314..    b20 + b23 =L= 1;

e315..    b79 + b87 =L= 1;

e316..    b6 + b38 =L= 1;

e317..    b78 + b85 =L= 1;

e318..    b9 + b61 =L= 1;

e319..    b46 + b59 =L= 1;

e320..    b13 + b101 =L= 1;

e321..    b7 + b20 =L= 1;

e322..    b51 + b65 =L= 1;

e323..    b13 + b46 =L= 1;

e324..    b7 + b36 =L= 1;

e325..    b77 + b93 =L= 1;

e326..    b70 + b91 =L= 1;

e327..    b20 + b95 =L= 1;

e328..    b7 + b84 =L= 1;

e329..    b24 + b84 =L= 1;

e330..    b19 + b32 =L= 1;

e331..    b76 + b95 =L= 1;

e332..    b28 + b95 =L= 1;

e333..    b55 + b88 =L= 1;

e334..    b45 + b76 =L= 1;

e335..    b15 + b16 =L= 1;

e336..    b79 + b81 =L= 1;

e337..    b64 + b77 =L= 1;

e338..    b21 + b90 =L= 1;

e339..    b12 + b34 =L= 1;

e340..    b19 + b96 =L= 1;

e341..    b37 + b48 =L= 1;

e342..    b39 + b93 =L= 1;

e343..    b45 + b55 =L= 1;

e344..    b30 + b75 =L= 1;

e345..    b27 + b93 =L= 1;

e346..    b12 + b20 =L= 1;

e347..    b19 + b38 =L= 1;

e348..    b57 + b65 =L= 1;

e349..    b60 + b92 =L= 1;

e350..    b6 + b32 =L= 1;

e351..    b63 + b73 =L= 1;

e352..    b35 + b87 =L= 1;

e353..    b75 + b91 =L= 1;

e354..    b6 + b53 =L= 1;

e355..    b7 + b52 =L= 1;

e356..    b5 + b70 =L= 1;

e357..    b8 + b87 =L= 1;

e358..    b41 + b97 =L= 1;

e359..    b22 + b51 =L= 1;

e360..    b28 + b69 =L= 1;

e361..    b65 + b79 =L= 1;

e362..    b62 + b67 =L= 1;

e363..    b38 + b57 =L= 1;

e364..    b20 + b72 =L= 1;

e365..    b34 + b98 =L= 1;

e366..    b23 + b81 =L= 1;

e367..    b29 + b74 =L= 1;

e368..    b36 + b42 =L= 1;

e369..    b74 + b85 =L= 1;

e370..    b32 + b100 =L= 1;

e371..    b49 + b65 =L= 1;

e372..    b32 + b52 =L= 1;

e373..    b16 + b75 =L= 1;

e374..    b24 + b61 =L= 1;

e375..    b26 + b49 =L= 1;

e376..    b37 + b84 =L= 1;

e377..    b6 + b34 =L= 1;

e378..    b45 + b56 =L= 1;

e379..    b88 + b100 =L= 1;

e380..    b42 + b80 =L= 1;

e381..    b61 + b64 =L= 1;

e382..    b64 + b85 =L= 1;

e383..    b43 + b50 =L= 1;

e384..    b25 + b26 =L= 1;

e385..    b24 + b74 =L= 1;

e386..    b37 + b56 =L= 1;

e387..    b49 + b67 =L= 1;

e388..    b73 + b78 =L= 1;

e389..    b20 + b71 =L= 1;

e390..    b3 + b5 =L= 1;

e391..    b35 + b55 =L= 1;

e392..    b8 + b30 =L= 1;

e393..    b22 + b99 =L= 1;

e394..    b10 + b86 =L= 1;

e395..    b36 + b100 =L= 1;

e396..    b78 + b93 =L= 1;

e397..    b17 + b100 =L= 1;

e398..    b54 + b73 =L= 1;

e399..    b61 + b91 =L= 1;

e400..    b8 + b12 =L= 1;

e401..    b18 + b26 =L= 1;

e402..    b11 + b41 =L= 1;

e403..    b2 + b80 =L= 1;

e404..    b11 + b55 =L= 1;

e405..    b16 + b83 =L= 1;

e406..    b40 + b91 =L= 1;

e407..    b25 + b49 =L= 1;

e408..    b33 + b89 =L= 1;

e409..    b24 + b34 =L= 1;

e410..    b33 + b52 =L= 1;

e411..    b83 + b96 =L= 1;

e412..    b5 + b83 =L= 1;

e413..    b83 + b84 =L= 1;

e414..    b17 + b89 =L= 1;

e415..    b27 + b98 =L= 1;

e416..    b6 + b24 =L= 1;

e417..    b53 + b94 =L= 1;

e418..    b34 + b99 =L= 1;

e419..    b36 + b83 =L= 1;

e420..    b8 + b17 =L= 1;

e421..    b10 + b59 =L= 1;

e422..    b97 + b101 =L= 1;

e423..    b64 + b99 =L= 1;

e424..    b56 + b79 =L= 1;

e425..    b11 + b89 =L= 1;

e426..    b34 + b84 =L= 1;

e427..    b23 + b68 =L= 1;

e428..    b13 + b84 =L= 1;

e429..    b87 + b88 =L= 1;

e430..    b32 + b87 =L= 1;

e431..    b85 + b92 =L= 1;

e432..    b16 + b78 =L= 1;

e433..    b18 + b22 =L= 1;

e434..    b27 + b94 =L= 1;

e435..    b30 + b41 =L= 1;

e436..    b20 + b45 =L= 1;

e437..    b23 + b84 =L= 1;

e438..    b12 + b57 =L= 1;

e439..    b39 + b55 =L= 1;

e440..    b10 + b24 =L= 1;

e441..    b52 + b85 =L= 1;

e442..    b59 + b99 =L= 1;

e443..    b28 + b29 =L= 1;

e444..    b71 + b73 =L= 1;

e445..    b51 + b53 =L= 1;

e446..    b12 + b30 =L= 1;

e447..    b41 + b100 =L= 1;

e448..    b12 + b90 =L= 1;

e449..    b79 + b95 =L= 1;

e450..    b78 + b92 =L= 1;

e451..    b79 + b101 =L= 1;

e452..    b59 + b68 =L= 1;

e453..    b19 + b54 =L= 1;

e454..    b37 + b43 =L= 1;

e455..    b70 + b100 =L= 1;

e456..    b86 + b97 =L= 1;

e457..    b7 + b78 =L= 1;

e458..    b30 + b68 =L= 1;

e459..    b30 + b56 =L= 1;

e460..    b10 + b95 =L= 1;

e461..    b80 + b99 =L= 1;

e462..    b57 + b74 =L= 1;

e463..    b47 + b76 =L= 1;

e464..    b2 + b27 =L= 1;

e465..    b85 + b99 =L= 1;

e466..    b14 + b29 =L= 1;

e467..    b36 + b95 =L= 1;

e468..    b36 + b41 =L= 1;

e469..    b23 + b61 =L= 1;

e470..    b59 + b87 =L= 1;

e471..    b64 + b74 =L= 1;

e472..    b18 + b43 =L= 1;

e473..    b52 + b54 =L= 1;

e474..    b64 + b84 =L= 1;

e475..    b19 + b101 =L= 1;

e476..    b56 + b75 =L= 1;

e477..    b53 + b66 =L= 1;

e478..    b65 + b92 =L= 1;

e479..    b74 + b93 =L= 1;

e480..    b30 + b61 =L= 1;

e481..    b73 + b82 =L= 1;

e482..    b43 + b92 =L= 1;

e483..    b54 + b72 =L= 1;

e484..    b13 + b67 =L= 1;

e485..    b63 + b85 =L= 1;

e486..    b14 + b53 =L= 1;

e487..    b2 + b8 =L= 1;

e488..    b40 + b69 =L= 1;

e489..    b66 + b91 =L= 1;

e490..    b34 + b56 =L= 1;

e491..    b6 + b77 =L= 1;

e492..    b43 + b81 =L= 1;

e493..    b14 + b40 =L= 1;

e494..    b38 + b71 =L= 1;

e495..    b58 + b72 =L= 1;

e496..    b46 + b62 =L= 1;

e497..    b16 + b51 =L= 1;

e498..    b16 + b67 =L= 1;

e499..    b41 + b85 =L= 1;

e500..    b37 + b71 =L= 1;

e501..    b23 + b54 =L= 1;

e502..    b92 + b95 =L= 1;

e503..    b11 + b91 =L= 1;

e504..    b37 + b66 =L= 1;

e505..    b50 + b97 =L= 1;

e506..    b15 + b79 =L= 1;

e507..    b35 + b100 =L= 1;

e508..    b51 + b57 =L= 1;

e509..    b57 + b95 =L= 1;

e510..    b58 + b70 =L= 1;

e511..    b35 + b62 =L= 1;

e512..    b25 + b88 =L= 1;

e513..    b60 + b73 =L= 1;

e514..    b42 + b79 =L= 1;

e515..    b47 + b83 =L= 1;

e516..    b63 + b92 =L= 1;

e517..    b25 + b52 =L= 1;

e518..    b2 + b56 =L= 1;

e519..    b66 + b77 =L= 1;

e520..    b26 + b44 =L= 1;

e521..    b21 + b61 =L= 1;

e522..    b46 + b91 =L= 1;

e523..    b40 + b71 =L= 1;

e524..    b53 + b78 =L= 1;

e525..    b21 + b85 =L= 1;

e526..    b35 + b45 =L= 1;

e527..    b6 + b58 =L= 1;

e528..    b13 + b68 =L= 1;

e529..    b14 + b69 =L= 1;

e530..    b31 + b94 =L= 1;

e531..    b4 + b70 =L= 1;

e532..    b4 + b33 =L= 1;

e533..    b9 + b76 =L= 1;

e534..    b18 + b20 =L= 1;

e535..    b79 + b85 =L= 1;

e536..    b74 + b89 =L= 1;

e537..    b59 + b75 =L= 1;

e538..    b27 + b64 =L= 1;

e539..    b35 + b99 =L= 1;

e540..    b20 + b98 =L= 1;

e541..    b43 + b55 =L= 1;

e542..    b28 + b76 =L= 1;

e543..    b82 + b95 =L= 1;

e544..    b50 + b87 =L= 1;

e545..    b7 + b32 =L= 1;

e546..    b31 + b61 =L= 1;

e547..    b62 + b100 =L= 1;

e548..    b21 + b82 =L= 1;

e549..    b4 + b43 =L= 1;

e550..    b12 + b82 =L= 1;

e551..    b28 + b85 =L= 1;

e552..    b42 + b91 =L= 1;

e553..    b10 + b25 =L= 1;

e554..    b40 + b59 =L= 1;

e555..    b12 + b22 =L= 1;

e556..    b7 + b92 =L= 1;

e557..    b15 + b93 =L= 1;

e558..    b40 + b72 =L= 1;

e559..    b45 + b82 =L= 1;

e560..    b26 + b90 =L= 1;

e561..    b34 + b71 =L= 1;

e562..    b32 + b75 =L= 1;

e563..    b35 + b65 =L= 1;

e564..    b81 + b89 =L= 1;

e565..    b51 + b96 =L= 1;

e566..    b53 + b101 =L= 1;

e567..    b41 + b66 =L= 1;

e568..    b32 + b44 =L= 1;

e569..    b17 + b88 =L= 1;

e570..    b17 + b51 =L= 1;

e571..    b83 + b88 =L= 1;

e572..    b13 + b36 =L= 1;

e573..    b35 + b89 =L= 1;

e574..    b24 + b89 =L= 1;

e575..    b45 + b75 =L= 1;

e576..    b21 + b44 =L= 1;

e577..    b46 + b56 =L= 1;

e578..    b26 + b41 =L= 1;

e579..    b61 + b65 =L= 1;

e580..    b20 + b55 =L= 1;

e581..    b14 + b71 =L= 1;

e582..    b6 + b7 =L= 1;

e583..    b35 + b101 =L= 1;

e584..    b21 + b36 =L= 1;

e585..    b17 + b37 =L= 1;

e586..    b55 + b89 =L= 1;

e587..    b52 + b71 =L= 1;

e588..    b4 + b89 =L= 1;

e589..    b39 + b64 =L= 1;

e590..    b12 + b91 =L= 1;

e591..    b7 + b62 =L= 1;

e592..    b6 + b13 =L= 1;

e593..    b5 + b18 =L= 1;

e594..    b23 + b94 =L= 1;

e595..    b7 + b24 =L= 1;

e596..    b45 + b81 =L= 1;

e597..    b30 + b63 =L= 1;

e598..    b49 + b80 =L= 1;

e599..    b2 + b47 =L= 1;

e600..    b84 + b89 =L= 1;

e601..    b88 + b91 =L= 1;

e602..    b28 + b55 =L= 1;

e603..    b50 + b96 =L= 1;

e604..    b8 + b38 =L= 1;

e605..    b9 + b94 =L= 1;

e606..    b19 + b66 =L= 1;

e607..    b22 + b23 =L= 1;

e608..    b68 + b82 =L= 1;

e609..    b56 + b96 =L= 1;

e610..    b25 + b39 =L= 1;

e611..    b35 + b86 =L= 1;

e612..    b14 + b19 =L= 1;

e613..    b11 + b67 =L= 1;

e614..    b10 + b58 =L= 1;

e615..    b47 + b71 =L= 1;

e616..    b24 + b97 =L= 1;

e617..    b73 + b97 =L= 1;

e618..    b61 + b71 =L= 1;

e619..    b3 + b78 =L= 1;

e620..    b27 + b42 =L= 1;

e621..    b45 + b74 =L= 1;

e622..    b91 + b93 =L= 1;

e623..    b29 + b68 =L= 1;

e624..    b14 + b80 =L= 1;

e625..    b52 + b98 =L= 1;

e626..    b26 + b35 =L= 1;

e627..    b15 + b88 =L= 1;

e628..    b70 + b96 =L= 1;

e629..    b17 + b43 =L= 1;

e630..    b41 + b44 =L= 1;

e631..    b39 + b65 =L= 1;

e632..    b15 + b33 =L= 1;

e633..    b30 + b59 =L= 1;

e634..    b6 + b73 =L= 1;

e635..    b48 + b85 =L= 1;

e636..    b27 + b40 =L= 1;

e637..    b42 + b97 =L= 1;

e638..    b23 + b74 =L= 1;

e639..    b28 + b36 =L= 1;

e640..    b27 + b60 =L= 1;

e641..    b47 + b74 =L= 1;

e642..    b41 + b48 =L= 1;

e643..    b13 + b85 =L= 1;

e644..    b5 + b63 =L= 1;

e645..    b27 + b44 =L= 1;

e646..    b18 + b41 =L= 1;

e647..    b46 + b76 =L= 1;

e648..    b32 + b98 =L= 1;

e649..    b69 + b96 =L= 1;

e650..    b21 + b62 =L= 1;

e651..    b52 + b94 =L= 1;

e652..    b34 + b78 =L= 1;

e653..    b81 + b92 =L= 1;

e654..    b37 + b55 =L= 1;

e655..    b97 + b100 =L= 1;

e656..    b9 + b43 =L= 1;

e657..    b39 + b72 =L= 1;

e658..    b42 + b78 =L= 1;

e659..    b3 + b86 =L= 1;

e660..    b2 + b85 =L= 1;

e661..    b11 + b94 =L= 1;

e662..    b42 + b98 =L= 1;

e663..    b41 + b65 =L= 1;

e664..    b6 + b37 =L= 1;

e665..    b8 + b75 =L= 1;

e666..    b25 + b66 =L= 1;

e667..    b32 + b53 =L= 1;

e668..    b6 + b41 =L= 1;

e669..    b4 + b27 =L= 1;

e670..    b81 + b93 =L= 1;

e671..    b9 + b49 =L= 1;

e672..    b33 + b86 =L= 1;

e673..    b21 + b63 =L= 1;

e674..    b33 + b55 =L= 1;

e675..    b21 + b96 =L= 1;

e676..    b45 + b83 =L= 1;

e677..    b25 + b70 =L= 1;

e678..    b41 + b89 =L= 1;

e679..    b40 + b45 =L= 1;

e680..    b90 + b96 =L= 1;

e681..    b22 + b82 =L= 1;

e682..    b20 + b54 =L= 1;

e683..    b65 + b100 =L= 1;

e684..    b12 + b97 =L= 1;

e685..    b7 + b81 =L= 1;

e686..    b44 + b68 =L= 1;

e687..    b74 + b80 =L= 1;

e688..    b55 + b68 =L= 1;

e689..    b50 + b99 =L= 1;

e690..    b49 + b74 =L= 1;

e691..    b18 + b88 =L= 1;

e692..    b14 + b61 =L= 1;

e693..    b5 + b34 =L= 1;

e694..    b37 + b53 =L= 1;

e695..    b9 + b100 =L= 1;

e696..    b51 + b56 =L= 1;

e697..    b8 + b63 =L= 1;

e698..    b5 + b36 =L= 1;

e699..    b27 + b86 =L= 1;

e700..    b30 + b99 =L= 1;

e701..    b17 + b62 =L= 1;

e702..    b87 + b99 =L= 1;

e703..    b2 + b99 =L= 1;

e704..    b10 + b31 =L= 1;

e705..    b15 + b51 =L= 1;

e706..    b36 + b81 =L= 1;

e707..    b16 + b18 =L= 1;

e708..    b77 + b87 =L= 1;

e709..    b28 + b32 =L= 1;

e710..    b18 + b94 =L= 1;

e711..    b31 + b71 =L= 1;

e712..    b11 + b54 =L= 1;

e713..    b17 + b68 =L= 1;

e714..    b35 + b97 =L= 1;

e715..    b30 + b78 =L= 1;

e716..    b15 + b49 =L= 1;

e717..    b2 + b28 =L= 1;

e718..    b64 + b88 =L= 1;

e719..    b31 + b65 =L= 1;

e720..    b2 + b10 =L= 1;

e721..    b18 + b99 =L= 1;

e722..    b77 + b84 =L= 1;

e723..    b42 + b46 =L= 1;

e724..    b22 + b28 =L= 1;

e725..    b20 + b67 =L= 1;

e726..    b96 + b101 =L= 1;

e727..    b36 + b48 =L= 1;

e728..    b10 + b55 =L= 1;

e729..    b5 + b64 =L= 1;

e730..    b44 + b88 =L= 1;

e731..    b34 + b36 =L= 1;

e732..    b9 + b12 =L= 1;

e733..    b36 + b71 =L= 1;

e734..    b17 + b98 =L= 1;

e735..    b86 + b98 =L= 1;

e736..    b26 + b84 =L= 1;

e737..    b53 + b67 =L= 1;

e738..    b18 + b63 =L= 1;

e739..    b39 + b45 =L= 1;

e740..    b63 + b89 =L= 1;

e741..    b4 + b83 =L= 1;

e742..    b62 + b90 =L= 1;

e743..    b22 + b81 =L= 1;

e744..    b43 + b95 =L= 1;

e745..    b26 + b30 =L= 1;

e746..    b10 + b37 =L= 1;

e747..    b44 + b64 =L= 1;

e748..    b72 + b98 =L= 1;

e749..    b65 + b68 =L= 1;

e750..    b2 + b13 =L= 1;

e751..    b52 + b92 =L= 1;

e752..    b35 + b95 =L= 1;

e753..    b41 + b82 =L= 1;

e754..    b95 + b96 =L= 1;

e755..    b15 + b56 =L= 1;

e756..    b46 + b84 =L= 1;

e757..    b25 + b77 =L= 1;

e758..    b40 + b53 =L= 1;

e759..    b53 + b75 =L= 1;

e760..    b70 + b83 =L= 1;

e761..    b15 + b85 =L= 1;

e762..    b16 + b37 =L= 1;

e763..    b66 + b71 =L= 1;

e764..    b9 + b48 =L= 1;

e765..    b13 + b42 =L= 1;

e766..    b25 + b89 =L= 1;

e767..    b38 + b59 =L= 1;

e768..    b41 + b95 =L= 1;

e769..    b22 + b83 =L= 1;

e770..    b16 + b73 =L= 1;

e771..    b20 + b73 =L= 1;

e772..    b36 + b98 =L= 1;

e773..    b66 + b85 =L= 1;

e774..    b69 + b99 =L= 1;

e775..    b2 + b69 =L= 1;

e776..    b37 + b76 =L= 1;

e777..    b35 + b92 =L= 1;

e778..    b34 + b59 =L= 1;

e779..    b31 + b51 =L= 1;

e780..    b25 + b92 =L= 1;

e781..    b49 + b94 =L= 1;

e782..    b24 + b37 =L= 1;

e783..    b42 + b70 =L= 1;

e784..    b45 + b57 =L= 1;

e785..    b41 + b68 =L= 1;

e786..    b27 + b38 =L= 1;

e787..    b55 + b62 =L= 1;

e788..    b22 + b54 =L= 1;

e789..    b6 + b59 =L= 1;

e790..    b85 + b89 =L= 1;

e791..    b23 + b42 =L= 1;

e792..    b28 + b99 =L= 1;

e793..    b7 + b29 =L= 1;

e794..    b30 + b80 =L= 1;

e795..    b71 + b72 =L= 1;

e796..    b29 + b100 =L= 1;

e797..    b22 + b65 =L= 1;

e798..    b23 + b62 =L= 1;

e799..    b18 + b85 =L= 1;

e800..    b25 + b69 =L= 1;

e801..    b84 + b94 =L= 1;

e802..    b13 + b37 =L= 1;

e803..    b55 + b65 =L= 1;

e804..    b10 + b64 =L= 1;

e805..    b70 + b97 =L= 1;

e806..    b11 + b75 =L= 1;

e807..    b5 + b89 =L= 1;

e808..    b25 + b31 =L= 1;

e809..    b46 + b98 =L= 1;

e810..    b44 + b82 =L= 1;

e811..    b11 + b14 =L= 1;

e812..    b49 + b57 =L= 1;

e813..    b56 + b68 =L= 1;

e814..    b36 + b61 =L= 1;

e815..    b44 + b83 =L= 1;

e816..    b3 + b75 =L= 1;

e817..    b15 + b60 =L= 1;

e818..    b57 + b86 =L= 1;

e819..    b5 + b25 =L= 1;

e820..    b2 + b22 =L= 1;

e821..    b2 + b44 =L= 1;

e822..    b14 + b54 =L= 1;

e823..    b6 + b9 =L= 1;

e824..    b60 + b61 =L= 1;

e825..    b27 + b96 =L= 1;

e826..    b19 + b60 =L= 1;

e827..    b38 + b92 =L= 1;

e828..    b28 + b62 =L= 1;

e829..    b39 + b67 =L= 1;

e830..    b23 + b50 =L= 1;

e831..    b11 + b22 =L= 1;

e832..    b2 + b65 =L= 1;

e833..    b34 + b88 =L= 1;

e834..    b6 + b35 =L= 1;

e835..    b58 + b60 =L= 1;

e836..    b12 + b29 =L= 1;

e837..    b33 + b70 =L= 1;

e838..    b30 + b71 =L= 1;

e839..    b43 + b48 =L= 1;

e840..    b60 + b76 =L= 1;

e841..    b7 + b12 =L= 1;

e842..    b3 + b67 =L= 1;

e843..    b69 + b91 =L= 1;

e844..    b34 + b40 =L= 1;

e845..    b7 + b101 =L= 1;

e846..    b2 + b64 =L= 1;

e847..    b50 + b63 =L= 1;

e848..    b9 + b19 =L= 1;

e849..    b71 + b99 =L= 1;

e850..    b87 + b94 =L= 1;

e851..    b35 + b56 =L= 1;

e852..    b9 + b45 =L= 1;

e853..    b2 + b52 =L= 1;

e854..    b23 + b87 =L= 1;

e855..    b22 + b90 =L= 1;

e856..    b42 + b92 =L= 1;

e857..    b36 + b49 =L= 1;

e858..    b27 + b85 =L= 1;

e859..    b63 + b96 =L= 1;

e860..    b65 + b93 =L= 1;

e861..    b40 + b56 =L= 1;

e862..    b44 + b94 =L= 1;

e863..    b24 + b32 =L= 1;

e864..    b36 + b87 =L= 1;

e865..    b10 + b96 =L= 1;

e866..    b10 + b82 =L= 1;

e867..    b47 + b86 =L= 1;

e868..    b27 + b59 =L= 1;

e869..    b4 + b37 =L= 1;

e870..    b50 + b94 =L= 1;

e871..    b88 + b98 =L= 1;

e872..    b32 + b42 =L= 1;

e873..    b14 + b58 =L= 1;

e874..    b56 + b91 =L= 1;

e875..    b30 + b84 =L= 1;

e876..    b59 + b90 =L= 1;

e877..    b39 + b78 =L= 1;

e878..    b7 + b16 =L= 1;

e879..    b25 + b71 =L= 1;

e880..    b17 + b38 =L= 1;

e881..    b19 + b86 =L= 1;

e882..    b55 + b101 =L= 1;

e883..    b26 + b56 =L= 1;

e884..    b38 + b52 =L= 1;

e885..    b12 + b94 =L= 1;

e886..    b44 + b60 =L= 1;

e887..    b23 + b43 =L= 1;

e888..    b13 + b71 =L= 1;

e889..    b12 + b62 =L= 1;

e890..    b4 + b92 =L= 1;

e891..    b18 + b91 =L= 1;

e892..    b41 + b83 =L= 1;

e893..    b8 + b77 =L= 1;

e894..    b3 + b13 =L= 1;

e895..    b76 + b80 =L= 1;

e896..    b67 + b79 =L= 1;

e897..    b68 + b78 =L= 1;

e898..    b63 + b71 =L= 1;

e899..    b35 + b36 =L= 1;

e900..    b29 + b38 =L= 1;

e901..    b8 + b101 =L= 1;

e902..    b41 + b62 =L= 1;

e903..    b69 + b72 =L= 1;

e904..    b10 + b69 =L= 1;

e905..    b68 + b79 =L= 1;

e906..    b37 + b38 =L= 1;

e907..    b39 + b95 =L= 1;

e908..    b21 + b48 =L= 1;

e909..    b19 + b42 =L= 1;

e910..    b76 + b97 =L= 1;

e911..    b4 + b10 =L= 1;

e912..    b49 + b92 =L= 1;

e913..    b63 + b78 =L= 1;

e914..    b65 + b97 =L= 1;

e915..    b33 + b37 =L= 1;

e916..    b2 + b90 =L= 1;

e917..    b63 + b98 =L= 1;

e918..    b3 + b76 =L= 1;

e919..    b16 + b71 =L= 1;

e920..    b18 + b30 =L= 1;

e921..    b54 + b84 =L= 1;

e922..    b27 + b84 =L= 1;

e923..    b4 + b35 =L= 1;

e924..    b25 + b79 =L= 1;

e925..    b48 + b62 =L= 1;

e926..    b49 + b101 =L= 1;

e927..    b30 + b51 =L= 1;

e928..    b30 + b101 =L= 1;

e929..    b15 + b91 =L= 1;

e930..    b65 + b78 =L= 1;

e931..    b68 + b92 =L= 1;

e932..    b86 + b96 =L= 1;

e933..    b78 + b86 =L= 1;

e934..    b11 + b73 =L= 1;

e935..    b2 + b40 =L= 1;

e936..    b41 + b86 =L= 1;

e937..    b37 + b92 =L= 1;

e938..    b52 + b77 =L= 1;

e939..    b28 + b83 =L= 1;

e940..    b52 + b64 =L= 1;

e941..    b66 + b81 =L= 1;

e942..    b55 + b60 =L= 1;

e943..    b36 + b46 =L= 1;

e944..    b7 + b79 =L= 1;

e945..    b36 + b44 =L= 1;

e946..    b67 + b74 =L= 1;

e947..    b34 + b67 =L= 1;

e948..    b9 + b51 =L= 1;

e949..    b69 + b78 =L= 1;

e950..    b3 + b60 =L= 1;

e951..    b4 + b62 =L= 1;

e952..    b65 + b84 =L= 1;

e953..    b29 + b40 =L= 1;

e954..    b16 + b98 =L= 1;

e955..    b35 + b60 =L= 1;

e956..    b9 + b71 =L= 1;

e957..    b29 + b61 =L= 1;

e958..    b3 + b97 =L= 1;

e959..    b15 + b69 =L= 1;

e960..    b20 + b62 =L= 1;

e961..    b31 + b37 =L= 1;

e962..    b33 + b94 =L= 1;

e963..    b14 + b45 =L= 1;

e964..    b9 + b55 =L= 1;

e965..    b15 + b64 =L= 1;

e966..    b15 + b30 =L= 1;

e967..    b53 + b98 =L= 1;

e968..    b12 + b58 =L= 1;

e969..    b43 + b101 =L= 1;

e970..    b71 + b83 =L= 1;

e971..    b10 + b84 =L= 1;

e972..    b6 + b28 =L= 1;

e973..    b16 + b89 =L= 1;

e974..    b59 + b66 =L= 1;

e975..    b26 + b53 =L= 1;

e976..    b12 + b66 =L= 1;

e977..    b25 + b40 =L= 1;

e978..    b3 + b28 =L= 1;

e979..    b27 + b47 =L= 1;

e980..    b68 + b96 =L= 1;

e981..    b8 + b91 =L= 1;

e982..    b49 + b58 =L= 1;

e983..    b28 + b97 =L= 1;

e984..    b5 + b86 =L= 1;

e985..    b42 + b62 =L= 1;

e986..    b57 + b84 =L= 1;

e987..    b50 + b75 =L= 1;

e988..    b7 + b48 =L= 1;

e989..    b68 + b69 =L= 1;

e990..    b6 + b65 =L= 1;

e991..    b10 + b92 =L= 1;

e992..    b70 + b92 =L= 1;

e993..    b37 + b63 =L= 1;

e994..    b3 + b53 =L= 1;

e995..    b12 + b46 =L= 1;

e996..    b53 + b93 =L= 1;

e997..    b37 + b90 =L= 1;

e998..    b49 + b50 =L= 1;

e999..    b2 + b58 =L= 1;

e1000..    b31 + b53 =L= 1;

e1001..    b51 + b62 =L= 1;

e1002..    b3 + b66 =L= 1;

e1003..    b45 + b66 =L= 1;

e1004..    b13 + b35 =L= 1;

e1005..    b44 + b58 =L= 1;

e1006..    b12 + b60 =L= 1;

e1007..    b30 + b48 =L= 1;

e1008..    b77 + b99 =L= 1;

e1009..    b26 + b96 =L= 1;

e1010..    b52 + b58 =L= 1;

e1011..    b21 + b55 =L= 1;

e1012..    b57 + b73 =L= 1;

e1013..    b26 + b82 =L= 1;

e1014..    b21 + b98 =L= 1;

e1015..    b46 + b69 =L= 1;

e1016..    b5 + b32 =L= 1;

e1017..    b72 + b88 =L= 1;

e1018..    b47 + b96 =L= 1;

e1019..    b54 + b60 =L= 1;

e1020..    b10 + b88 =L= 1;

e1021..    b7 + b100 =L= 1;

e1022..    b15 + b46 =L= 1;

e1023..    b23 + b32 =L= 1;

e1024..    b2 + b60 =L= 1;

e1025..    b9 + b60 =L= 1;

e1026..    b55 + b81 =L= 1;

e1027..    b9 + b74 =L= 1;

e1028..    b12 + b77 =L= 1;

e1029..    b4 + b6 =L= 1;

e1030..    b10 + b42 =L= 1;

e1031..    b4 + b28 =L= 1;

e1032..    b8 + b48 =L= 1;

e1033..    b6 + b25 =L= 1;

e1034..    b39 + b53 =L= 1;

e1035..    b3 + b35 =L= 1;

e1036..    b12 + b50 =L= 1;

e1037..    b71 + b94 =L= 1;

e1038..    b2 + b73 =L= 1;

e1039..    b10 + b52 =L= 1;

e1040..    b58 + b83 =L= 1;

e1041..    b30 + b64 =L= 1;

e1042..    b53 + b85 =L= 1;

e1043..    b20 + b61 =L= 1;

e1044..    b25 + b47 =L= 1;

e1045..    b16 + b63 =L= 1;

e1046..    b74 + b84 =L= 1;

e1047..    b9 + b59 =L= 1;

e1048..    b13 + b31 =L= 1;

e1049..    b32 + b96 =L= 1;

e1050..    b39 + b80 =L= 1;

e1051..    b28 + b80 =L= 1;

e1052..    b30 + b62 =L= 1;

e1053..    b67 + b84 =L= 1;

e1054..    b35 + b41 =L= 1;

e1055..    b50 + b60 =L= 1;

e1056..    b25 + b46 =L= 1;

e1057..    b87 + b91 =L= 1;

e1058..    b46 + b85 =L= 1;

e1059..    b14 + b48 =L= 1;

e1060..    b22 + b52 =L= 1;

e1061..    b51 + b52 =L= 1;

e1062..    b39 + b58 =L= 1;

e1063..    b43 + b44 =L= 1;

e1064..    b56 + b60 =L= 1;

e1065..    b11 + b60 =L= 1;

e1066..    b56 + b66 =L= 1;

e1067..    b21 + b83 =L= 1;

e1068..    b62 + b101 =L= 1;

e1069..    b8 + b65 =L= 1;

e1070..    b20 + b65 =L= 1;

e1071..    b3 + b72 =L= 1;

e1072..    b13 + b79 =L= 1;

e1073..    b19 + b57 =L= 1;

e1074..    b81 + b85 =L= 1;

e1075..    b81 + b91 =L= 1;

e1076..    b39 + b91 =L= 1;

e1077..    b49 + b55 =L= 1;

e1078..    b82 + b97 =L= 1;

e1079..    b13 + b26 =L= 1;

e1080..    b86 + b101 =L= 1;

e1081..    b13 + b16 =L= 1;

e1082..    b28 + b45 =L= 1;

e1083..    b44 + b86 =L= 1;

e1084..    b9 + b34 =L= 1;

e1085..    b20 + b27 =L= 1;

e1086..    b33 + b43 =L= 1;

e1087..    b12 + b65 =L= 1;

e1088..    b88 + b96 =L= 1;

e1089..    b37 + b85 =L= 1;

e1090..    b15 + b17 =L= 1;

e1091..    b16 + b19 =L= 1;

e1092..    b82 + b100 =L= 1;

e1093..    b43 + b82 =L= 1;

e1094..    b8 + b66 =L= 1;

e1095..    b37 + b40 =L= 1;

e1096..    b25 + b33 =L= 1;

e1097..    b44 + b54 =L= 1;

e1098..    b11 + b47 =L= 1;

e1099..    b26 + b27 =L= 1;

e1100..    b58 + b65 =L= 1;

e1101..    b4 + b73 =L= 1;

e1102..    b8 + b82 =L= 1;

e1103..    b87 + b93 =L= 1;

e1104..    b46 + b58 =L= 1;

e1105..    b63 + b90 =L= 1;

e1106..    b50 + b81 =L= 1;

e1107..    b20 + b68 =L= 1;

e1108..    b40 + b44 =L= 1;

e1109..    b44 + b52 =L= 1;

e1110..    b61 + b86 =L= 1;

e1111..    b37 + b98 =L= 1;

e1112..    b8 + b26 =L= 1;

e1113..    b58 + b100 =L= 1;

e1114..    b15 + b37 =L= 1;

e1115..    b49 + b56 =L= 1;

e1116..    b46 + b64 =L= 1;

e1117..    b4 + b12 =L= 1;

e1118..    b42 + b53 =L= 1;

e1119..    b73 + b88 =L= 1;

e1120..    b6 + b101 =L= 1;

e1121..    b84 + b86 =L= 1;

e1122..    b45 + b88 =L= 1;

e1123..    b21 + b70 =L= 1;

e1124..    b20 + b94 =L= 1;

e1125..    b59 + b78 =L= 1;

e1126..    b55 + b77 =L= 1;

e1127..    b17 + b65 =L= 1;

e1128..    b21 + b27 =L= 1;

e1129..    b71 + b79 =L= 1;

e1130..    b33 + b34 =L= 1;

e1131..    b2 + b24 =L= 1;

e1132..    b22 + b48 =L= 1;

e1133..    b15 + b58 =L= 1;

e1134..    b31 + b66 =L= 1;

e1135..    b46 + b96 =L= 1;

e1136..    b20 + b74 =L= 1;

e1137..    b6 + b74 =L= 1;

e1138..    b49 + b69 =L= 1;

e1139..    b21 + b41 =L= 1;

e1140..    b11 + b95 =L= 1;

e1141..    b50 + b56 =L= 1;

e1142..    b30 + b72 =L= 1;

e1143..    b52 + b61 =L= 1;

e1144..    b31 + b33 =L= 1;

e1145..    b44 + b50 =L= 1;

e1146..    b79 + b90 =L= 1;

e1147..    b8 + b70 =L= 1;

e1148..    b10 + b56 =L= 1;

e1149..    b71 + b100 =L= 1;

e1150..    b9 + b72 =L= 1;

e1151..    b5 + b28 =L= 1;

e1152..    b42 + b73 =L= 1;

e1153..    b66 + b90 =L= 1;

e1154..    b18 + b78 =L= 1;

e1155..    b29 + b43 =L= 1;

e1156..    b24 + b80 =L= 1;

e1157..    b67 + b101 =L= 1;

e1158..    b60 + b69 =L= 1;

e1159..    b34 + b90 =L= 1;

e1160..    b32 + b78 =L= 1;

e1161..    b53 + b74 =L= 1;

e1162..    b8 + b46 =L= 1;

e1163..    b24 + b82 =L= 1;

e1164..    b51 + b95 =L= 1;

e1165..    b40 + b60 =L= 1;

e1166..    b51 + b60 =L= 1;

e1167..    b22 + b76 =L= 1;

e1168..    b16 + b60 =L= 1;

e1169..    b16 + b64 =L= 1;

e1170..    b41 + b58 =L= 1;

e1171..    b17 + b36 =L= 1;

e1172..    b59 + b62 =L= 1;

e1173..    b9 + b37 =L= 1;

e1174..    b48 + b66 =L= 1;

e1175..    b57 + b85 =L= 1;

e1176..    b5 + b39 =L= 1;

e1177..    b35 + b44 =L= 1;

e1178..    b50 + b85 =L= 1;

e1179..    b2 + b70 =L= 1;

e1180..    b18 + b48 =L= 1;

e1181..    b23 + b44 =L= 1;

e1182..    b45 + b77 =L= 1;

e1183..    b12 + b79 =L= 1;

e1184..    b72 + b99 =L= 1;

e1185..    b19 + b95 =L= 1;

e1186..    b19 + b26 =L= 1;

e1187..    b60 + b68 =L= 1;

e1188..    b61 + b68 =L= 1;

e1189..    b61 + b95 =L= 1;

e1190..    b11 + b88 =L= 1;

e1191..    b37 + b59 =L= 1;

e1192..    b32 + b48 =L= 1;

e1193..    b4 + b97 =L= 1;

e1194..    b18 + b19 =L= 1;

e1195..    b15 + b98 =L= 1;

e1196..    b76 + b94 =L= 1;

e1197..    b8 + b25 =L= 1;

e1198..    b62 + b96 =L= 1;

e1199..    b5 + b8 =L= 1;

e1200..    b19 + b65 =L= 1;

e1201..    b36 + b54 =L= 1;

e1202..    b20 + b44 =L= 1;

e1203..    b4 + b94 =L= 1;

e1204..    b46 + b89 =L= 1;

e1205..    b6 + b63 =L= 1;

e1206..    b3 + b58 =L= 1;

e1207..    b28 + b50 =L= 1;

e1208..    b41 + b56 =L= 1;

e1209..    b11 + b98 =L= 1;

e1210..    b13 + b47 =L= 1;

e1211..    b28 + b82 =L= 1;

e1212..    b4 + b14 =L= 1;

e1213..    b34 + b54 =L= 1;

e1214..    b5 + b59 =L= 1;

e1215..    b48 + b63 =L= 1;

e1216..    b52 + b62 =L= 1;

e1217..    b29 + b54 =L= 1;

e1218..    b55 + b73 =L= 1;

e1219..    b42 + b59 =L= 1;

e1220..    b50 + b86 =L= 1;

e1221..    b39 + b50 =L= 1;

e1222..    b63 + b79 =L= 1;

e1223..    b65 + b76 =L= 1;

e1224..    b28 + b56 =L= 1;

e1225..    b66 + b80 =L= 1;

e1226..    b4 + b79 =L= 1;

e1227..    b6 + b29 =L= 1;

e1228..    b56 + b82 =L= 1;

e1229..    b48 + b77 =L= 1;

e1230..    b62 + b92 =L= 1;

e1231..    b2 + b96 =L= 1;

e1232..    b25 + b44 =L= 1;

e1233..    b90 + b92 =L= 1;

e1234..    b14 + b51 =L= 1;

e1235..    b27 + b95 =L= 1;

e1236..    b53 + b62 =L= 1;

e1237..    b26 + b31 =L= 1;

e1238..    b4 + b61 =L= 1;

Model m / all /;

m.limrow=0; m.limcol=0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

m.tolproj = 0.0;
$if not set MIQCP $set MIQCP MIQCP
Solve m using %MIQCP% maximizing objvar;





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